A recent report found that a local creamery has a 35% market share in a certain region. Employees in the marketing
department of the creamery conduct a survey to confirm the results by randomly selecting 300 residents from the regon
The employees asked the question which brand of ice cream do you usually purchase to each resident Use a normal
approximation to calculate the probability that at most 80 of these people will choose the creamery's brand. Use a T1-83,
83 plus, or T-34 calculator to find the probability
- Round your answer to four decimal places
Answers
Using the normal approximation to the binomial, it is found that there is a 0.0015 = 0.15% probability that at most 80 of these people will choose the creamery's brand.
In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with \(\mu = np, \sigma = \sqrt{np(1-p)}\).In this problem:
35% market share, hence \(p = 0.35\).300 residents are surveyed, hence \(n = 300\).The mean and the standard deviation are given by:
\(\mu = np = 300(0.35) = 105\)
\(\sigma = \sqrt{np(1-p)} = \sqrt{300(0.35)(0.65)} = 8.26\)
Using continuity correction, the probability that at most 80 of these people will choose the creamery's brand is \(P(X \leq 80 + 0.5) = P(X \leq 80.5)\), which is the p-value of Z when X = 80.5, thus:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{80.5 - 105}{8.26}\)
\(Z = -2.97\)
\(Z = -2.97\) has a p-value of 0.0015.
0.0015 = 0.15% probability that at most 80 of these people will choose the creamery's brand.
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Related Questions
1 1/3 divided by 40 by using the algorithm method
Answers
Problem
1 1/3 divided by 40 by using the algorithm method
Solution
For this case we can do this first:
\(1\frac{1}{3}=\frac{1\cdot3+1}{3}=\frac{4}{3}\)And then we can divide this number by 40 like this:
\(\frac{4}{3}\cdot\frac{1}{40}=\frac{4}{120}=\frac{2}{60}=\frac{1}{30}\)There are 25 questions on your math test. You have completed 5 questions so far. What fraction of the total questions do you still need to complete?
Answers
Answer:
\(\frac{4}{5}\)
Step-by-step explanation:
If you have completed \(5\) questions, you still have \(25-5=20\) more questions to answer. We need to find what fraction \(20\) is of \(25\), if that makes sense. A fraction is simply a part over a whole. In this case, the part is \(20\) and the whole is \(25\). Therefore, the fraction we are looking for is \(\frac{20}{25}\), which simplifies to \(\frac{4}{5}\). Hope this helps!
Answer:
4\5
Step-by-step explanation:
25-5
20\25
4\5
hope this helps!
HELP PLEASE ANSWER ALL CORRECTLY!!
Answers
Find the missing length of the triangle. 7.2 feet, 9.6 feet, and c
Answers
By using pythagorean theorem, the length of the missing side is 12 feet.
What is the Pythagorean theorem?
Pythagoras' theorem is a fundamental principle in geometry that relates to the three sides of a right-angled triangle. It states that:
"In a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides."
In mathematical terms, if a, b, and c are the lengths of the sides of a right-angled triangle, where c is the hypotenuse, then the theorem can be written as:
\(c^2 = a^2 + b^2\)
We can use the Pythagorean theorem to determine the length of the missing side if we know that the given sides form a right triangle.
In this case, we have two sides of the triangle given: 7.2 feet and 9.6 feet. Let's assume that c is the length of the hypotenuse.
If the triangle is a right triangle, then we can use the Pythagorean theorem to solve for c:
\(c^2 = 7.2^2 + 9.6^2\)
\(c^2 = 51.84 + 92.16\)
\(c^2 = 144\)
\(c = \sqrt{144}\)
c = 12 feet
Therefore, if the triangle is a right triangle, then the length of the missing side is 12 feet.
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which of the following compares the overall difference between two or more independent samples? a. kruskal-wallis one-way ANOVA b. the sign test c. wilcoxon rank test d. mann-whitney U test
Answers
The Kruskal-wallis one-way ANOVA compares the overall difference between two or more independent samples. So, the correct option is option a. kruskal-wallis one-way ANOVA
The answer is option A, the Kruskal-Wallis one-way ANOVA compares the overall difference between two or more independent samples.
The Sign test and Wilcoxon rank test are non-parametric tests used for comparing paired samples, while the Mann-Whitney U test is used for comparing two independent samples.
This test is used to compare the overall difference between two or more independent samples when the assumptions of a regular one-way ANOVA are not met.
The Kruskal-Wallis test is applicable when the data violate the assumptions of normality and/or equal variances required by parametric ANOVA tests.
Instead of comparing means, it compares the ranks of the data values within each group to assess if there are significant differences between the groups.
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How
do I show significant difference using superscript between these
values? (anova single factor test)
Answers
Yes, you can show significant differences using superscripts in an ANOVA (Analysis of Variance) single-factor test.
In an ANOVA test, superscripts are commonly used to indicate significant differences between the means of different groups or treatments.
Typically, letters or symbols are assigned as superscripts to denote which groups have significantly different means. These superscripts are usually presented adjacent to the mean values in tables or figures.
The specific superscripts assigned to the means depend on the statistical analysis software or convention being used. Each group or treatment with a different superscript is considered significantly different from groups with different superscripts. On the other hand, groups with the same superscript are not significantly different from each other.
By including superscripts, you can visually highlight and communicate the significant differences between groups or treatments in an ANOVA single-factor test, making it easier to interpret the results and identify which groups have statistically distinct means.
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can anyone please help me solve this one?
the result have to be in positive integers
Answers
Step-by-step explanation:
(a²-b²)(c²-d²) = a²c² - a²d² - b²c² + b²d²
(b²-d²)(c²-a²) = b²c² - a²b² - c²d² + a²d²
the sum of both is
a²c² + b²d² - a²b² - c²d² = a²(c²-b²) + d²(b²-c²) =
= a²(c²-b²) - d²(c²-b²) = (c²-b²)(a²-d²) = 2021
after a little check we find 2021 is only divisible by 43 and 47 (or 1 and 2021).
so, it is clear that our expression resembles
43×47 = 2021
that means that e.g. c²-b² = 43, and a²-d² = 47
or the other way around, it does not matter.
what squared integer numbers give a difference of 43 ? and 47 ?
squared numbers
1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256
289 324 361 400 441 484 529 576
aha ! 484 - 441 = 43
and 576 - 529 = 47
so, we get
a = sqrt(576) = 24
b = sqrt(441) = 21
c = sqrt(484) = 22
d = sqrt(529) = 23
one could also use the formula for consecutive squared numbers
(n+1)² = n² + 2n + 1
under the assumption that the 2 numbers are convective (which it turns out they are in this example) we get
(n+1)² - n² = 2n + 1 = 43
2n = 42
n = 21
n+1 = 22
and for 47
2n + 1 = 47
2n = 46
n = 23
n+1 = 24
Consider the following statements about variance investigation: 1. The absolute size of a vaniance is more important than the relative size when trying to decide what viriances to irvestignte II. Variance investigation invotves a look at enly unfavorable variances. III Variance investigation is typically based on a cost-benefit analysis. Which of the above statements is (are) true? I only. II and III. III only. If only. 1, II, and III:
Answers
The correct answer is: III only. Variance investigation is typically based on a cost-benefit analysis.
Statement I is incorrect because the relative size of a variance, in comparison to other variances, can be important in understanding its significance.
Statement II is incorrect because variance investigation does not focus solely on unfavorable variances. Both favorable and unfavorable variances are considered during the investigation.
Statement III is true. Variance investigation is typically based on a cost-benefit analysis, where the potential benefits of investigating and addressing variances are weighed against the associated costs.
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Suppose an Inspector at a shipping port is checking for counterfeit goods. The Inspector confronts an Owner of three shipping containers. The containers are labeled A, B, and C. Both the Inspector and Owner know that one of the three shipping containers has counterfeit goods. The Inspector does not know which container has the counterfeit goods but knows that each container has the same chance of containing the counterfeit goods. Prior to the Inspectors arrival, the owner randomly chose one of the containers to place the counterfeit goods in. Per company policy, the Inspector can only request that the Owner open one of the containers to inspect. If the Inspector successfully finds the counterfeit items they receive a payoff of 100 and if they fail to find the counterfeit items they receive a payoff of -100. The Owner receives a payoff of 100 if the Inspector does not find the counterfeit goods and a payoff of -100 if the Inspector finds the items. Suppose the Inspector chooses container B. However, before opening container B, the Owner instead opens container A. The Owner shows the Inspector that inside container A there are no counterfeit items. The Owner then asks the Inspector if they would like to request that the Owner open container C instead of A. Use game theory to show whether the Inspector would maximize their chance of finding counterfeit items by opening container B or switching to container C. What is the expected payoff for both the Owner and Inspector for each choice?
Answers
Regardless of what the Inspector chooses, the Owner's expected payoff is the same (33.33). The Owner does not have a better option than waiting for the Inspector to choose container B.
This problem can be modeled as a game of incomplete information. The Inspector and Owner are players in the game, and each has two possible strategies: either choose container B, or switch to container C. The payoffs for each player depend on the strategy they choose and which container contains the counterfeit goods.
To solve this game, we can use backward induction. We start by considering the final decision point: whether to switch to container C after seeing that container A does not contain the counterfeit goods. Let's consider the two cases:
If the counterfeit goods are in container B, then the Inspector knows that container C also does not have the counterfeit goods. In this case, the payoff for choosing container B is 100 (if they find the counterfeit goods) or -100 (if they do not).
If the counterfeit goods are in container C, then the Inspector knows that container B does not have the counterfeit goods. In this case, the payoff for switching to container C is 100 (if they find the counterfeit goods) or -100 (if they do not).
Since the Inspector does not know which container has the counterfeit goods, they should choose the strategy with the higher expected payoff. To calculate the expected payoffs, we need to consider the probability that the counterfeit goods are in each container. Since the owner chose one container at random, each container has a 1/3 chance of containing the counterfeit goods.
If the Inspector chooses container B, the expected payoff is:
Expected payoff (choose container B) = (1/3) * 100 + (2/3) * (-100) = -33.33
If the Inspector switches to container C, the expected payoff is:
Expected payoff (switch to container C) = (1/3) * 100 + (2/3) * (-100) = -33.33
Therefore, regardless of what the Inspector chooses, their expected payoff is the same (-33.33). This means that the Inspector does not have a better option than choosing container B, and switching to container C does not improve their chances of finding the counterfeit goods.
For the Owner, if the Inspector chooses container B, then the Owner's expected payoff is:
Expected payoff (Inspector chooses container B) = (1/3) * (-100) + (2/3) * 100 = 33.33
If the Inspector switches to container C, then the Owner's expected payoff is:
Expected payoff (Inspector switches to container C) = (1/3) * (-100) + (2/3) * 100 = 33.33
Therefore, regardless of what the Inspector chooses, the Owner's expected payoff is the same (33.33). The Owner does not have a better option than waiting for the Inspector to choose container B.
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Please help!! Urgent for homework
Answers
Answer:
a) 50
b) 12√6
Step-by-step explanation:
How do you simplify a fraction formula?
Answers
The simplest form of a fraction is when the numerator (top number) and denominator (bottom number) have no common factors.
A fraction is a mathematical expression that represents a part of a whole, where a numerator is divided by a denominator. To simplify a fraction, we must divide both the numerator and the denominator by the same number until we cannot divide any further. To simplify a fraction, you must divide both the numerator and denominator by their greatest common factor (GCF).
For example, let's simplify the fraction 24/36. The GCF of 24 and 36 is 12. So, dividing both numbers by 12 will give us the simplified fraction 2/3.
24 ÷ 12 = 2
36 ÷ 12 = 3
Therefore, the simplified fraction of 24/36 is 2/3.
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rewrite the function in an equivalent form the would reveal the vertex of the function f(x)=x^2+8x+6
Answers
Answer:
f(x)=(x+4)-10
Step-by-step explanation:
Since the function f(x)=x^2+8x+6 is in standard form, you need to find the axis of symmetry using the formula -b/2a, and then plug the value back into the original equation to find the vertex.
The vertex is (-4, -10)
Using this information, we can rewrite the equation in vertex form (f(x=a(x-h)+k), where (h, k) is the vertex.
The equation we rewrite is f(x)=(x+4)-10
Let x be the number of years since 1998, let g(x) be the average monthly bill (in dollars) for mobile phone users in the United States, and let h(x) be the average number of minutes used by U.S. mobile phone users. Then g(x) and h(x) are as given g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4, h(x) = -8.25x³ + 53.1x² - 7.82x + 138 Write a rational function ƒ(x) that gives the average price per minute x years after 1998.
Answers
The rational function ƒ(x) that represents the average price per minute x years after 1998 is given by ƒ(x) = g(x) / h(x), where g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4 and h(x) = -8.25x³ + 53.1x² - 7.82x + 138.
To calculate the average price per minute x years after 1998, we need to find the ratio between the average monthly bill (g(x)) and the average number of minutes used (h(x)). Therefore, the rational function ƒ(x) is defined as ƒ(x) = g(x) / h(x).
Given that g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4 and h(x) = -8.25x³ + 53.1x² - 7.82x + 138, we can substitute these expressions into the rational function to obtain the final formula: ƒ(x) = (-0.27x³ + 1.40x² + 1.05x + 39.4) / (-8.25x³ + 53.1x² - 7.82x + 138).
This rational function represents the average price per minute x years after 1998 based on the given average monthly bill and average number of minutes used by U.S. mobile phone users. By plugging in different values for x, you can evaluate the function and obtain the corresponding average price per minute for each year.
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Thinking about t distributions. Consider the t (20) and t (40) distributions. a. Which distribution is wider? b. For the same value of t, which distribution has the smallest tail area? c. For the same middle area C, which distribution has the largest t* critical value?
Answers
The t(20) distribution is wider than the t(40) distribution, For the same value of t, the t(40) distribution has the smallest tail area and for the same middle area C, the t(20) distribution has the largest t* critical value.
a. Which distribution is wider?
The t(20) distribution is wider than the t(40) distribution. As the degrees of freedom increase, the t distribution approaches the standard normal distribution, and its width decreases.
b. For the same value of t, which distribution has the smallest tail area?
For the same value of t, the t(40) distribution has the smallest tail area. As the degrees of freedom increase, the distribution becomes more concentrated around the mean, and the tails become smaller.
c. For the same middle area C, which distribution has the largest t* critical value?
For the same middle area C, the t(20) distribution has the largest t* critical value. With fewer degrees of freedom, the distribution is wider and requires a larger t* value to cover the same middle area as compared to the t(40) distribution.
a. The t(40) distribution is wider than the t(20) distribution. This is because as the degrees of freedom increase, the t-distribution approaches a standard normal distribution, which has a smaller variance than the t-distribution with fewer degrees of freedom.
b. For the same value of t, the t(40) distribution has the smallest tail area. This is because as the degrees of freedom increase, the t-distribution approaches a standard normal distribution, which has smaller tail areas than the t-distribution with fewer degrees of freedom.
c. For the same middle area C, the t(20) distribution has the largest t* critical value. This is because as the degrees of freedom decrease, the t-distribution has heavier tails, which require larger t* values to maintain the same middle area C.
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The costs of repairing iPads in UAE are normally distributed with a mean of 173 Dhs. If
3%
of the costs exceed 243 Dhs, find the standard deviation of the costs. Round your answer to the nearest diham (Whole number).
Answers
The standard deviation of the costs is 37 Dhs
The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.
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Is the equation a true statement when x = 3? In other words, is 3 a solution to theequation?7x – 5 = 23 + 10A. Yes, 3 is a solution.B. No, 3 is not a solution.
Answers
SOLUTION:
Case: Simple equation
Given:
7x – 5 = 23 + 10
Required:
Is the equation a true statement when x = 3?
Method:
Step 1: Rewrite the equation
7x – 5 = 23 + 10
Step 2: Plug the value x= 3 into the equation
7x – 5 = 23 + 10
7(3) - 5 = 33
21 - 5 = 33
16 is not equal to 33
Final answer:
B. No, 3 is not a solution.
What’s the answer?????
Answers
Answer:
19.3
Step-by-step explanation:
d=m/v
d=2316/120
d=19.3 g/cm^3
Answer:
19.3g/cm^3
Step-by-step explanation:
The local meteorologist claims that the temperature is going to steadily drop over the next 4 hours. If the temperature changes by the same amount each hour, and it changes by a total of -28F, how much will it change each hour? Explain how you got your anwser im 2 or more complete sentences.
Answers
Answer:
The answer was obtained by first taking the measurement for the temperature drop, the duration of the temperature drop, and the rate at which the temperature is dropping which are -28 F, 4 hours, and dropping at a steady rate.
The measured temperature drop of -28 F, is then divided by the duration of the drop which is 4 hours, to get the amount the temperature drop each our as -28F/4 = -7 F per hour
Step-by-step explanation:
The rate at which the local meteorologist claims that the temperature is going to drop = Steady rate
The duration over which the local meteorologist states that the temperature is going to drop = 4 hours
The amount by which the temperature is observed to drop = -28F
The rate at which the temperature is observed to drop = The same amount each hour
Therefore, the temperature drop per hour = -28F/4 = -7 F per hour
Algebra and Geometry Question: Seven of the angles of a decagon have measures whose sum is complementary and exactly two are supplementary. Find the measures of these three angles.
Answers
From the present question, let's say that the missing angles are a, b, and c. We know that the sum of the other seven is equal to 1220°. By definition, the sum of the inner angles of any polygon is given by:
\(S=(n-2)\times180\degree\)In the present case, n = 10. Which means:
\(\begin{gathered} S=(10-2)\times180\degree \\ S=8\times180\degree=1440\degree \\ S=1440\degree \end{gathered}\)From the information given, we are able to say that:
\(\begin{gathered} 1440=1220+a+b+c \\ a+b+c=1440-1220=220 \\ a+b+c=220 \end{gathered}\)Here we found the first equation. The information about supplementary and complementary angles can be written as:
\(\begin{gathered} a+b=90\degree \\ b+c=180\degree \end{gathered}\)Now we have the following system of equations:
\(\begin{gathered} a+b+c=220\degree \\ a+b=90\degree \\ b+c=180\degree \end{gathered}\)If we substitute the second equation in the first one, we are able to find the value for c. Performing this calculation, we find the following:
\(\begin{gathered} (a+b)+c=220\to90+c=220 \\ c=220-90=130\degree \\ c=130\degree \end{gathered}\)With this value, we are able to substitute the value of c in the third equation, and find the value of b, as follows:
\(\begin{gathered} b+c=180\degree\to b+130\degree=180\degree \\ b=180\degree-130\degree=50\degree \\ b=50\degree \end{gathered}\)Now, we can substitute the value of b in the second equation of the system, to find the value of a, as follows:
\(\begin{gathered} a+b=90\degree\to a+50\degree=90\degree \\ a=90\degree-50\degree=40\degree \\ a=40\degree \end{gathered}\)Now, from all the given information, we were able to find that, the three missing angles are:
\(\begin{gathered} a=40\degree \\ b=50\degree \\ c=130\degree \end{gathered}\)Because the question did not name the angles, their name and order are not important, just the values.
help me solve for x
Answers
Answer:
50.6
Step-by-step explanation:
I did the first question already I need help with the second pls :>
Answers
Answer:
The box is considered a cube so,
4 x 4 = 16
56 divided by 16 = 3.5 is your height
1/2 x 1/2 x 1/2 = 1/8.
56 divided by 1/8 = 7 cubes
in a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. simulation a will consist of 1,500 trials with a sample size of 100. simulation b will consist of 2,000 trials with a sample size of 50.
Answers
The sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.
What is sampling distribution ?
An example of a sampling distribution is a probability distribution of a statistic that is derived from repeated sampling of a particular population.
It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.
Given,
Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325.
Simulation A will consist of 1500 trials with a sample size of 100.
Simulation B will consist of 2000 trials with a sample size of 50.
Center for Simulation A and Simulation B will be roughly equal.
Overall Sample size of Simulation A will be
= 1500 * 100 = 150000
Overall Sample size of Simulation B will be
= 2000 * 50 = 100000
Hence, the sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.
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The complete question is -
In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?
A) The centers will roughly be equal, and the variabilities will roughly be equal.
B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.
C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.
D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.
E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.
(40 POINTS) TRUE OR FALSE? The transformation of the function f(x) = (1/2)^x when it becomes f(x) = (1/2)^x+3 is a horizontal shift of 3 units to the right?
Answers
Answer:
False.
Step-by-step explanation:
You can put x=0 into both of the equations to justify. At the first equation, when x=0, f(x)=0. In the second equation, when x=0, f(x)=3. F(x) is the value of y. So, the function has moved 3 units up, not 3 units to the right.
Solve questions 3-9 please.
Answers
The graph of a proportional relationship is a line through the origin or a ray whose endpoint is the origin
3. No because it's a line that doesn't go through the origin
4. Yes because it's a line through the origin
5. Yes because 1/3 = 2/6 = 3/9 = 4/12
6. No because 4/2 isn't equal to 8/5
7. Draw a graph just like 4., but change the y-axis
8. a. Let the equation be y = ax. 27 = 3a. a = 9. Therefore the equation is y = 9x.
8. b. 9
8. c. 9 * 5 = 45
9. a. The car travels 25 (> 18) miles per gallon of gasoline.
9. b. 25 * 8 - 18 * 8 = 7 * 8 = 56
3.+Bruce+invests+$750+in+an+account+that+earns+5.8%+simple+interest+per+year+for+4+years.+Select+all+the+true+statements.++A.+Bruce+will+earn+$43.50+in+interest+after+1+year.++B.+Bruce+will+earn+$435+in+interest+after+1+year.++C.+Bruce+will+earn+$130.50+in+interest+after+1+year.++D.+Bruce+will+have+a+total+of+$174+after+4+years.++E.+Bruce+will+have+a+total+of+$924+after+4+years.
Answers
The total amount that Bruce will have after 4 years, then Statement B and C are false because they give incorrect values for the interest earned after 1 year.
To find the interest earned by Bruce after 1 year, we use the formula:
interest = principal * rate * time
where principal is the initial amount invested, rate is the interest rate per year, and time is the time period for which the interest is calculated.
Substituting the given values, we get:
interest =\($750 * 0.058 * 1\)
interest =\($43.50\)
Therefore, statement A is true.
To find the total interest earned by Bruce after 4 years, we use the formula:
interest = principal * rate * time
where principal is the initial amount invested, rate is the interest rate per year, and time is the time period for which the interest is calculated.
Substituting the given values, we get:
interest = \($750 * 0.058 * 4\)
interest = \($174\)
Therefore, statement D is true.
To find the total amount that Bruce will have after 4 years, we add the interest earned to the initial amount invested. Therefore, we get:
total amount = initial amount + interest earned
total amount = 750 + 174
total amount = \($924\)
Therefore, statement E is also true.
Statement B and C are false because they give incorrect values for the interest earned after 1 year.
The total amount that Bruce will have after 4 years, then Statement B and C are false because they give incorrect values for the interest earned after 1 year.
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In this problem, substitute (x+1) in place of y in the second equation.
Answers
Answer:
x = 8
Step-by-step explanation:
x + 2(x+1)=8
x+2x+2=8
x+2x=6
3x=6
x=6/3
x=2
20 POINTS NO CAP PLEASE HELP ME NEED RIGHT ANSWER
Answers
Answer:
I think it might be the last answer
Step-by-step explanation:
sorry just tryna help ok dokie
Answer:
yaaa last one
Step-by-step explanation:
Use the price-demand equation below to find E(p), the elasticity of demand. x=f(p)=25,000-450p E(p)= a F2 Help me solve this View an example + F3 X F4 D C F5 Get more help. E C F6 F7 F8 8 F9
Answers
Given that the price-demand equation is given by
f(p) = 25,000 - 450p.
To find E(p), the elasticity of demand, we need to differentiate f(p) with respect to p.
That is:
f(p) = 25,000 - 450p
f′(p) = -450
The absolute value of f′(p) is the elasticity of demand E(p).
So,
E(p) = |-450|
= 450
Answer: Therefore, the elasticity of demand is 450.
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CAN SOMEONE ANSWER THIS PLEASEEE ASAP !!
Answers
Answer:
the answer is c
Step-by-step explanation:
suppose that iq scores have a bell-shaped distribution with a mean of 10 and a standard deviation of 16.using the empirical rule, what percentage of iq scores are at least 84? please do not round your answer.
Answers
Less than 0.03% of IQ scores are at least 84, given a bell-shaped distribution with a mean of 10 and a standard deviation of 16.
The empirical rule is a statistical rule stating that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% of the data falls within two standard deviations of the mean, and 99.7% of the data falls within three standard deviations of the mean.
In this case, we know that the mean of the IQ scores is 10 and the standard deviation is 16. To find the percentage of IQ scores that are at least 84, we need to calculate how many standard deviations away from the mean 84 is.
To do this, we can use the formula:
z = (x - μ) / σ
Where:
z = number of standard deviations away from the mean
x = IQ score we are interested in (in this case, 84)
μ = mean of the distribution (10)
σ = standard deviation of the distribution (16)
Plugging in the numbers, we get:
z = (84 - 10) / 16
z = 4.00
This means that 84 is four standard deviations away from the mean. According to the empirical rule, only 0.03% of the data falls beyond three standard deviations from the mean. Therefore, we can estimate that the percentage of IQ scores that are at least 84 is less than 0.03%.
In conclusion, using the empirical rule, we can estimate that less than 0.03% of IQ scores are at least 84, given a bell-shaped distribution with a mean of 10 and a standard deviation of 16.
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