Step-by-step explanation:
(a) n² + 3
First term = 1² + 3 = 4
Second term = 2² + 3 = 7
Third term = 3² + 3 = 12
Fourth term = 4² + 3 = 19
10th term = 10² + 3 = 103
(b) 2n²
First term = 2(1)² = 2
Second term = 2(2)² = 8
Third term = 2(3)² = 18
Fourth term = 2(4)²= 32
10th term = 2(10)² = 200
Hence, this is the required solution.
A recipe for lemonade calls for 2 cups of sugar for every 8 cups of water. How much sugar is needed for each cup of water. A. 1/8 cup of sugar to 1 cup of water B. 1/6 cup of sugar to 1 cup of water C. 1/4 cup of sugar to 1 cup of water D. 4 cup of sugar to 1 cup of water
Answer:
1/4 cup of sugar to 1 cup of water
Step-by-step explanation:
you divide 2 by 8 and get 0.25 and that is 1/4.
Hope this helps!!
Miranda purchased 425 shares of dagofi radar stock at $14.15 apiece. she earns $374.00 in dividends every year. what is the yield on miranda’s dagofi radar stock? a. 0.0622 b. 6.22 c. 26.4 d. 0.0264 please select the best answer from the choices provided a b c d
The yield on Miranda’s dagofi radar stock is 0.0622. So the correct option is a.
In the given question,
Miranda purchased 425 shares of Dagofi radar stock at $14.15 a piece.
She earns $374.00 in dividends every year.
We have to find the yield on Miranda’s Dagofi radar stock.
Miranda purchased total shares = 425
The price of one share = $14.15
So the total price = Total number of shares*the price of one share
The total price = 425*14.15
The total price = $6013.75
An asset's yield is the annual profit over cost.
In this specific case, we have that,
The yield = 374/6013.75
The yield = 0.0622
Hence, the yield on Miranda’s dagofi radar stock is 0.0622. So the correct option is a.
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Answer:
The answer is A: 0.0622
Step-by-step explanation:
[Values]
Number of shares: 425
Share value = $14.15
Total dividend paid: $374.00
[Total value of stocks]
425 x 14.15 = 6,013.75
[Divide the total dividends by total stock value]
$374 / 6,013.75 = 0.06219
rounded = 0.0622
what is -12 divided by -2
ASAP brainliest to the first answer
Answer:
it is 6
Step-by-step explanation:
Pentagon PQRST is shown on the coordinate grid below . Given that the pentagon was rotated 180 ° clockwise and labeled P'Q'R'ST , what are the coordinates of T ?
Answer:
Step-by-step explanation:
Given is a pentagon. It has 5 sides
A red candle is 8 inches tall and burns at a rate of 7
10 inch per hour.
A blue candle is 6 inches tall and burns at a rate of 1
5 inch per hour.
After how many hours will both candles be the same height?
After four hours, the height of the candles will be the same.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A red candle has an 8-inch height and burns at a 7/10-inch per hour rate. A 6-inch tall blue candle burns at a rate of 1/5 inch per hour.
Let x be the number of hours and y be the height.
y = -0.70x + 8 ...1
y = -0.20x + 6 ...2
From equations 1 and 2, then we have
- 0.20x + 6 = - 0.70x + 8
(0.70 - 0.20)x = 8 - 6
0.50x = 2
x = 4 hours
After four hours, the height of the candles will be the same.
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if x2 y2 z2 = 9, dx dt = 8, and dy dt = 9, find dz dt when (x, y, z) = (2, 2, 1).
Using implicit differentiation dz/dt = -34
What is differentiation?Differentiation is the process of finding the derivative of a function.
Since x² + y² + z² = 9, dx/dt = 8, and dy/dt = 9, we need to find dz/dt when (x, y, z) = (2, 2, 1).
So, differentiating implicitly and also applying the chain rule, we have that
x² + y² + z² = 9
d(x² + y² + z²)/dt = d9/dt
dx²/dx × dx/dt + dy²/dy × dy/dt + dz²/dz × dz/dt = d9/dt
2xdx/dt + 2ydy/dt + 2zdz/dt = 0
xdx/dt + ydy/dt + zdz/dt = 0
Making dz/dt subject of the formula, we have that
zdz/dt = -(xdx/dt + ydy/dt)
dz/dt = -(xdx/dt + ydy/dt)/z
Given that
dx/dt = 8, dy/dt = 9, x = 2, y = 2 and z = 1Substituting the values of the variables into the equation, we have that
dz/dt = -(xdx/dt + ydy/dt)/z
dz/dt = -(2 × 8 + 2 × 9)/1
= -(16 + 18)/1
= - 34
So, dz/dt = -34
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The question is incomplete. Here is the complete question
If x² + y² + z² = 9, dx/dt = 5, and dy/dt = 4, find dz/dt when (x, y, z) = (2, 2, 1).
Could someone help please I dont understand
Answer:9 hours
Step-by-step explanation:
when rounding to the nearest tenth, you use the number behind the decimal to determine which way you go. if it's below five(.1, .2, .3, .4) then you go down, if its above five(.6, .7, .8, .9) you would up. in this case, it's above fine, so we round up, which would make the total hours Andreas spent on the project 9 hours.
(1/2u+10v)^2
pls give me step by step
Answer:
\(\frac{1}{\left(2u+10v\right)^2}\)
Step-by-step explanation:
Okay, I got so first you need to apply the exponent rule,
\(\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\)
\(1^2=1\)
\(=\frac{1}{\left(2u+10v\right)^2}\)
Final Answer: \(\frac{1}{\left(2u+10v\right)^2}\)
Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 3cm/min and the other
shrinks at the rate of 5 cm/min.
B)How fast is the area of the triangle changing 2 minutes later?
Answer: 5 in
Step-by-step explanation: Consider a right triangle which is changing shape in the following way. The horizontal leg is increasing at the rate of 5 in.
statistical power is a measure of the ability to reject the null hypothesis when:
Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.
A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.
Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.
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In the past, the output of a process had a mean of 2.050 and a standard deviation of 0.020 liters. If a current sample of output had these values {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, would that indicate that the process is still "in order" (as opposed to being "out of order")? What if the sample was {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}?
For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."
To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.
For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:
Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):
Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.
Compare the sample mean to the known process mean (2.050):
The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."
Calculate the sample standard deviation using the formula:
Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))
Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.
Compare the sample standard deviation to the known process standard deviation (0.020):
The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."
For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:
Calculate the sample mean:
Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034
Compare the sample mean to the process mean (2.050):
The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."
Calculate the sample standard deviation:
The sample standard deviation is approximately 0.019 liters.
Compare the sample standard deviation to the process standard deviation (0.020):
The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.
In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.
However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.
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you are testing h0: μ=10 against ha: μ≠10 based on an srs of 15 observations from a normal population. what values of the t statistic are statistically significant at the α=0.005 level?
The values of the t statistic that are statistically significant at the α=0.005 level are t < -2.977 or t > 2.977.
To determine the values of the t statistic that are statistically significant at the α=0.005 level, we need to find the critical values of the t-distribution with 14 degrees of freedom (df = n - 1 = 15 - 1 = 14).
Using a t-table or a calculator, we can find that the critical values for a two-tailed test with α=0.005 are -2.977 and 2.977. This means that any t statistic less than -2.977 or greater than 2.977 would be considered statistically significant at the α=0.005 level.
In other words, if the calculated t statistic falls within the range of -2.977 to 2.977, we would fail to reject the null hypothesis (H0: μ=10) and conclude that there is not enough evidence to suggest that the population mean is different from 10. However, if the calculated t statistic falls outside of this range, we would reject the null hypothesis and conclude that there is evidence to suggest that the population mean is different from 10.
So, the values of the t statistic that are statistically significant at the α=0.005 level are t < -2.977 or t > 2.977.
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a long-term movement up or down in a time series is called
A long-term movement up or down in a time series is called a trend. A trend represents the general direction of a time series over a longer period of time. It helps to identify the overall pattern or behavior of the data.
For example, let's say we are analyzing the sales of a product over several years. If the sales consistently increase over time, we can say there is an upward trend. On the other hand, if the sales consistently decrease, there is a downward trend.
Trends are important because they can help us understand and predict future behavior of the time series. By identifying trends, we can make informed decisions and forecasts. Trends can also be useful in identifying cycles and seasonality in the data.
In summary, a long-term movement up or down in a time series is called a trend. It represents the overall direction of the data over a longer period of time and helps in making predictions and forecasts.
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The population is (select all that apply) :
a. Larger than the sample
b. The entire group of cases we want information on
c. Impractical or too expensive to collect information from.
we must rely on estimates instead
The population is larger than the sample, and the entire group of cases we want information on.
In statistics, a population refers to the whole set of people, items, or events under consideration.
The sample is a smaller subset of the population that is taken into account.
The sample should be an accurate representation of the population from which it was chosen in order for it to be useful in making predictions or generalizations about the population. Let's look at the options and select the correct ones.
(a) Larger than the sample:
The population is the entire collection of individuals, items, or events that a researcher is interested in studying, and it is always larger than the sample. It is vital to select a sample that represents the population well to make inferences about it.
(b) The entire group of cases we want information on:
The population is the entire collection of people, items, or events that a researcher is interested in studying. It is the group of individuals from which a sample is taken. A sample is a representative of the population.
(c) Impractical or too expensive to collect information from:
When the population size is too big, it is impractical or too expensive to collect information from it.
In such cases, we have to select a representative sample.
For example, it would be impossible to count all the people who have ever lived on the planet, so we must rely on estimates instead.
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dr. guidry has decided to examine one of her relationships with a scatterplot to double-check for a curvilinear relationship. which relationship will be most important for her to examine?
Linear regressions can help to examine a curvilinear relationship.
It is possible for two variables to have a relationship known as a curvilinear relationship, in which one variable rises along with the other, but only until a certain point, beyond which the other variable falls as the rise of the first continues.
To evaluate the relationship between two numerical variables visually, scatterplots are utilized. Usually, the X axis represents the explanatory variable and the Y axis represents the dependent variable.
By generating a line that best fits your data, regression takes correlation a step further. While a straightforward linear regression analysis still gives us the R2 value, it now gives us a number that indicates the strength (slope) of the association between X and Y. This knowledge improves our comprehension of the underlying relationship and can be applied to forecast Y values given a certain value of X. However, instead of testing the null hypothesis that the slope of the line depicting the relationship between X and Y is zero, T-tests are now employed.
Hence linear regressions can help to examine a curvilinear relationship.
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How do we calculate length without points given?
Find the volume
of the figure below:
Step-by-step explanation:
Use Pythagorean theorem to find the base of the right triangle
221^2 = 195^2 + b^2
b = 104 km
triangle area = 1/2 base * height = 1/2 * 104 * 195 = 10140 km^2
Now multiply by the height to find volume
10140 km^2 * 15 km = 152100 km^3
What is the domain of the function
f(x) =
X+2
x≤-B
*>B
x2-6
Answer:
x ≥ -6
Step-by-step explanation:
Answer: x ≥-6
explanation: im pretty good at math
Describe the meaning of the translation (x + 6, y + 10).
All points are moved 6 units right and 10 units up
All points are moved 6 units left and 10 units up
All points are moved 6 units left and 10 units down
All points are moved 6 units right and 10 units down
Answer:
Step-by-step explanation:
The meaning of the translation (x + 6, y + 10) is that all points in a coordinate plane are moved 6 units to the right and 10 units up.
In other words, for any point (x, y) in the original position, after the translation, the new coordinates would be (x + 6, y + 10). This means that the x-coordinate of each point is increased by 6 units, resulting in a shift to the right, and the y-coordinate is increased by 10 units, resulting in a shift upwards.
Does the following scenario represent independent or dependent events?
You pick a red jolly rancher candy from a jar, give it to a friend, then pick another red jolly rancher candy.
Question 2 options:
A. independent
B. dependent
C. neither
D. both
The event is independent event in nature .
What is independent events ?Independent events are those events whose occurrence is not dependent on any other event. For example, if we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail.
What is dependent events?Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.
According to the question
You pick a red jolly rancher candy from a jar, give it to a friend, then pick another red jolly rancher candy.
You pick a red jolly rancher candy from a jar, give it to a friend is independent event
and the second event pick another red jolly rancher candy. is completely independent event
and both of them are not dependent on each other
So this event is independent because two events happen is not depend on each other .
Hence, The event is independent event in nature .
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What is the value of the expression below when x = 4
2x² + x – 5
Use the standard normal distribution to find P(-1.53 < z < 2.51)
The probability to be evaluated is given to be:
\(P(-1.53The probability is calculated using the formula:\(P(-1.53Using tables, we have:\(\begin{gathered} Pr(0Therefore, the probability will be:\(P(-1.53The probability is 0.9310.Answer ASAP, will give brainliest
Answer:
Step-by-step explanation:
1) Diagonal bisect the angles of Rhombus
∠CAB = ∠CAD
∠CAB = 71
2) ∠DAB = ∠CAB + ∠CAD
∠DAB = 71 + 71 = 142
In Rhombus, adjacent angles are supplementary
∠DAB + ∠ABC = 180
142 + ∠ABC = 180
∠ABC = 180 - 142
∠ABC = 38
3) In rhombus, opposite angles are congruent
∠ADC = ∠ABC
∠ABC = 38
In rhombus, diagonal bisect angles
∠BDC = (1/2)*∠ADC
∠BDC= 38/2
∠BDC = 19
4) Diagonals bisect each other at 90
∠DEC = 90
5) Diagonals bisect each other
BE = DE
BE + DE = DB
7x -2 +7x -2 =24 {add like terms}
14x - 4 =24
14x = 24+4
14x = 28
x = 28/14
x = 2 m
6) AB = 13m
BE = 7x - 2 = 7*2 -2 = 14 -2 = 12 m
In right angle ΔAEB, {use Pythagorean theorem}
AE² + BE² = AB²
AE² + 12² = 13²
AE² + 144 = 169
AE² = 169 - 144
AE² = 25
AE = √25
AE = 5 m
Diagonals bisect each other
AE = EC
AC = 2*5
AC = 10 m
7)Side = 13 m
Perimeter = 4*side
= 4*13
Perimeter = 52 m
8) d1 = AC = 10 m
d2 = DB = 24 m
Area = \(\frac{d_{1}*d_{2}}{2}\)
\(=\frac{10*24}{2}\\\)
= 10 *12
= 120 m²
the population of chicago is about 3 million. how does that compare to the total number of dead and wounded in world war i? (give your answer as a fraction)
Simplify this expression.
2^5(13 +12)
Answer:
800
Step-by-step explanation:
You do 2 to the 5 power, which equals 32. Then add 13 and 12 to get 25. Then multiply 32 and 25 to get 800
What do you mean by 3 more than 7?
The statement 3 more than 7 means, a number is 3 more than a given number. Since here the number is 7 so the required number will be 7+3= 10
In numerical more than simply refers to adding and less than refers to subtracting. If it is given that a number let's say Z is Y more than X then the value will be Z= X+Y
If a given number let's say Z is Y less than X then the value of Z will be
Z=X-Y
More than means add which gives us a bigger value. Less than means subtract which gives us a smaller value
So, 3 more than 7 means 7+3 = 10
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Three professors at a university did an experiment to determine if economists are more selfish than other people. They dropped 64 stamped, addressed envelopes with $10 cash in different classrooms on the campus. 42% were returned overall. From the economics classes 58% of the envelopes were returned. From the business, psychology, and history classes 32% were returned. • R = money returned • E = economics classes • O = other classes1. ) Write a probability statement for the overall percent of money returned.
2. ) Write a probability statement for the percent of money returned out of the economics classes. 3. ) Write a probability statement for the percent of money returned out of the other classes.
According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.
What is meant by probability?Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
At one classroom for economics and another for other topics, they dumped 122 stamped envelopes with addresses and $20 bills inside each.
Let the money returned = R
economics classes = E
other classes = O
a). The following gives the probability statement for the overall percentage of the money returned: 100.P (R)
b). The probability statement that the percentage of money recovered from economics classes is 100.P(R|E)
c). The probability statement that displays the percentage of money returned from the other classes is 100.P(R|O).
d). No, because P(R) is not equal to P(R|E), the money returned is not independent of the classes.
e). According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.
The complete question is:
Three professors at George Washington University did an experiment to determine if economists are more selfish than other people. They dropped 122 stamped, addressed envelopes with $20 cash in two different classrooms (one economics, one not) on the George Washington campus. Of these, 42% were returned overall. From the economics class 51% of the envelopes were returned. From the other class 36% were returned.
From
the business, psychology, and history classes 31% were returned.
Let: R = money returned; E = economics classes; O = other classes
a. Write a probability statement for the overall percent of money returned.
b. Write a probability statement for the percent of money returned out of the economics classes.
c. Write a probability statement for the percent of money returned out of the other classes.
d. Is money being returned independent of the class? Justify your answer numerically and explain it.
e. Based upon this study, do you think that economists are more selfish than other people? Explain why or why not. Include numbers to justify your answer.
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Solve the equation:
\(x^4 - x^2 - 2 =0\)
Answer:
±2
Step-by-step explanation:
This is a biquadratic equation, we must turn it into a quadratic one first before we solve it. So, let's say that x⁴ = y², therefore
\(y = \sqrt{x} \)
and we turn it into the following quadratic equation:
y² - y - 2 = 0
then we solve it the way we solve a normal quadratic equations and find the roots:
D = 1 + 8 = 9
y1,2 = 1 ± 3 = 4, -2
\( \sqrt{x} = y\)
We cannot find the square root of -2, so the solutions are only -2 and 2(because square root of 4 is equal to ±2)
in a probability-proportional-to-size sample with a sampling interval of $10,000, an auditor discovered that a selected account receivable with a recorded amount of $5,000 had an audited amount of $4,000. if this were the only misstatement discovered by the auditor, the projected misstatement of this sample would be
The projected misstatement of this sample would be $50,000, calculated as follows: ($4,000 / $5,000) x $10,000.
In a probability-proportional-to-size sample, each item's chance of being selected is proportional to its recorded amount, so larger accounts have a higher probability of being selected. In this case, the auditor selected an account with a recorded amount of $5,000, but found that it had an audited amount of $4,000.
To project the misstatement of this sample, the auditor needs to estimate the total misstatement in the population by multiplying the audited amount by the inverse of the sampling fraction, which is the sampling interval divided by the recorded amount of the selected item. So, the projected misstatement is ($4,000 / $5,000) x $10,000 = $8,000 x 6.25 = $50,000. This means that the auditor estimates the total misstatement in the population to be approximately $50,000 based on this sample.
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find the first three terms of this sequence tn=4n²+2
Answer:
Step-by-step explanation:
finding the first term by putting n=1
t(1)=4.\((1)^{2}\) +2 = 4.1 +2 = 4+2 = 6
finding the second term by putting n=2
t(2)=4.\((2)^{2}\) +2 = 4.4 +2 = 16+2 = 18
finding the third term by putting n=3
t(3)=4.\((3)^{2}\) +2 = 4.9 +2 = 36+2 = 38
hence first three terms are:
6,18,38,......,4\(n^{2}\) +2