I need help with this please help me
Answer: A
Step-by-step explanation:
The three angles in a triangle add to \(180^{\circ}\). Therefore, each angle measures \(\frac{180^{\circ}}{3}=60^{\circ}\).
A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 73 and a standard deviation of 8.
a. What is the probability that a student scored below 91 on this exam?
b. What is the probability that a student scored between 65 and 89?
c. If the professor grades on a curve (i.e., gives A’s to the top 10% of the class, regardless of the score), are you better off with a grade of 81 on this exam or a grade of 68 on a different exam, where the mean is 62 and the standard deviation is 3? Show your answer statistically and explain. (Hint: For option 1, you need to find a minimum Z-score that will guarantee you that you will be in the top 10% of the class.)
a. The probability that a student scored below 91 on this exam is 0.9878
b. The probability that a student scored between 65 and 89 is 0.8186.
c. A grade of 68 on the second exam is better than a grade of 81 on the first exam for the given conditions
a. To find the probability that a student scored below 91 on the exam, we need to find the area under the normal distribution curve to the left of 91. Using a standard normal distribution table or calculator, we can find the corresponding Z-score as:
Z = (91 - 73) / 8 = 2.25
The probability of scoring below 91 is then the same as the probability of a standard normal random variable being less than 2.25, which is approximately 0.9878.
b. To find the probability that a student scored between 65 and 89, we need to find the area under the normal distribution curve between these two values. Using the Z-score formula as above, we find:
Z1 = (65 - 73) / 8 = -1.00
Z2 = (89 - 73) / 8 = 2.00
Using a standard normal distribution table or calculator, we can find the probability of a standard normal random variable being between -1.00 and 2.00, which is approximately 0.8186.
c. To determine if a grade of 81 on this exam or a grade of 68 on a different exam is better if the professor grades on a curve, we need to find the Z-score that corresponds to the top 10% of the class. Using a standard normal distribution table or calculator, we can find this Z-score as:
Z = 1.28 (approximately)
For the first exam, the Z-score corresponding to a grade of 81 is:
Z = (81 - 73) / 8 = 1.00
Since 1.00 < 1.28, a grade of 81 is not in the top 10% of the class. For the second exam, the Z-score corresponding to a grade of 68 is:
Z = (68 - 62) / 3 = 2.00
Since 2.00 > 1.28, a grade of 68 is in the top 10% of the class. Therefore, if the professor grades on a curve, a grade of 68 on the second exam is better than a grade of 81 on the first exam.
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From the information in the diagram, what is mZH?
HURRY PLEASE I NEED HELP ON THIS!!
Answer:
30 degrees
Step-by-step explanation:
102+48=150
180-150= 30 degrees
Hope this helped! :)
A right triangle has a hypotenuse of 12 feet and a leg of length 6 feet.
A triangle has hypotenuse of 12 feet and a leg of length 6 feet. What is the length of the other leg?
A. 6 feet
B. 6V 3 feet
C. 65 feet
D. S4 feet
Answer:6
Step-by-step explanation:
So if he reads 147 pages of a book and he has completed 70% of the book how much would be left
Answer:
63 pages
Step-by-step explanation:
147/x=70/100
147=x(70/100)
x = 147/(70/100)
x = 210
210-147=63
Answer:
63 pages
Step-by-step explanation:
147 100
---- * ---- = 210 and then 210-147=63
1 70
at which points do the graphs of y= x+1 and y=2^2 intersection
The graphs of y = x + 1 and y = 2^x intersect at approximately (-0.3517, 0.6483) and (1.561, 3.561).
To find the points of intersection between the graphs of y = x + 1 and y = 2^x, we need to set the two equations equal to each other and solve for x.
Setting y = x + 1 equal to y = 2^x, we have:
x + 1 = 2^x
To solve this equation, we can use numerical methods or make observations to find the points of intersection. By observing the behavior of the two functions, we can see that they intersect at two points: one when x is negative, and another when x is positive.
For x < 0, the exponential function y = 2^x approaches 0 as x approaches negative infinity, while the linear function y = x + 1 continues to decrease as x becomes more negative. Thus, there is one point of intersection in this region.
For x > 0, the exponential function grows faster than the linear function, so there is another point of intersection in this region.
However, finding the exact values for the points of intersection requires numerical methods such as using a graphing calculator or solving the equation numerically. Approximate values for the points of intersection can be found as x ≈ -0.3517 and x ≈ 1.561.
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What is the value of x? (5 points)
Question 7 options:
1)
10
2)
15
3)
30
4)
45
What's the question?
One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5 (strongly disagree). The table below contains ten of the paired responses for husbands and wives. Conduct a hypothesis test at the 5% level to see if the mean difference in the husband's versus the wife's satisfaction level is negative (meaning that, within the partnership, the husband is happier than the wife). Wife's score 2 2 3 3 4 2 1 1 2 4 Husband's score 2 1 2 3 2 1 1 1 2 4 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
(1)State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.)
(2)What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)
(3) What is the p-value? (Round your answer to four decimal places.)
(4)Alpha (Enter an exact number as an integer, fraction, or decimal.)
α =
Answer:
Step-by-step explanation:
Corresponding response ratings of wives and husbands form matched pairs.
The data for the test are the differences between the response ratings.
μd = the wives response ratings minus their husband's response ratings.
Wives. Husbands diff
2 2 0
2 1 1
3 2 1
3 3 0
4 2 1
2 1 1
1 1 0
1 1 0
2 2 0
4 4 0
Sample mean, xd
= (0 + 1 + 1 + 0 + 1 + 1 + + 0 + 0 + 0 + 0)/10 = 0.4
xd = 5.67
Standard deviation = √(summation(x - mean)²/n
n = 6
Summation(x - mean)² = (0 - 0.4)^2 + (1 - 0.4)^2 + (1 - 0.4)^2+ (0 - 0.4)^2 + (1 - 0.4)^2 + (1 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 = 2.4
Standard deviation = √(2.4/10
sd = 0.49
For the null hypothesis
H0: μd ≥ 0
For the alternative hypothesis
H1: μd < 0
1) The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 10 - 1 = 9
2) The formula for determining the test statistic is
t = (xd - μd)/(sd/√n)
t = (0.4 - 0)/(0.49/√10)
t = 2.581
3) We would determine the probability value by using the t test calculator.
p = 0.0148
4) Assume alpha = 0.05
Since alpha, 0.05 > than the p value, 0.0148, then we would reject the null hypothesis.
Therefore, at 5% significance level, we can conclude that the mean difference in the husband's versus the wife's satisfaction level is negative
David is building a toy box. Its length will be 4 feet, its width will be 2.5 feet and its height will be 2 feet. What will the volume of the toy box be?
Answer:
the answer to this would be this 20 ft
Step-by-step explanation:
you would this by taking 4 times 2.5 times 2 and you would get the answer of 20 ft for the volume.
Multiply (3x-7)(2x^2-8x+3)
Answer:
6x^3-38x^2+65x-21
Step-by-step explanation:
The probability of a tornado occurring in a subdivision in Tornado Alley in the United States has been estimated to be 0.2 for one occurrence, 0.03 for two occurrences, and 0.001 for three occurrences during the next 50 years. Assume that the chance of four or more occurrences is negligible during the next 50 years. If a tornado hits a structure, the probability that it will suffer damage is 70%. Assume that the damage from multiple tornadoes is statistically independent. What is the probability that a structure will not suffer any damage from tornadoes in the next 50 years
Answer:
Probability is 0.831727
Step-by-step explanation:
The probability can be calculated as below
There are multiple scenarios
Scanerio 1
0 occurance & No damage = 1 - 0.2 - 0.03 - 0.001 = 0.769
Scanerio 2
1 occurance & No damage = 0.2 x ( 1 - 0.7 ) = 0.06
Scanerio 3
2 occurance & No damage = 0.03 x ( 1 - 0.7 )^2 = 0.0027
Scanerio 4
3 occurance & No damage = 0.001 x ( 1 - 0.7 )^3 = 0.000027
P(structure will not suffer any damage) = Scanerio 1 + Scanerio 2 + Scanerio 3 + Scanerio 4 = 0.769 + 0.06 + 0.0027 + 0.000027 = 0.831727
Riding equation of the line that has the same slope as 3X minus 2Y equals 12 in the same y-intercept as 5Y +21 equals 4X
The linear equation can be written as:
y = (3/2)*x - 21/5
How to write the linear equation?
A general linear equation can be written as:
y = m*x + b
Where m is the slope and b is the y-intercept.
First, we know that our line has the same slope than:
3x - 2y = 12
Rewriting that we will get:
3x - 2y = 12
3x - 12 = 2y
(3/2)x - 12/2 = y
So the slope of this line is (3/2).
And our lie has the same y-intercept as 5y + 21 = 4x
We can rewrite that to get:
5y = 4x - 21
y = (4/5)x - 21/5
The y-intercept is -21/5
Then the linear equation is:
y = (3/2)*x - 21/5
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What is the sum of V-2 and V-18?
Answer:
=2v−20
Step-by-step explanation:
Let's simplify step-by-step.
v−2+v−18
=v+−2+v+−18
Combine Like Terms:
=v+−2+v+−18
=(v+v)+(−2+−18)
=2v+−20
Answer:
=2v−20
PLS HELP! (Pls wright at least 4-5 sentences) will give brainliest to first answer
Answer:
Taxes are mandatory contributions levied on individuals or corporations by a government entity—whether local, regional, or national. Tax revenues finance government activities, including public works and services such as roads and schools, or programs such as Social Security and Medicare.
Mugdo paid $250 for a sneaker and there is a 61% advertised discount. How much is the discount?
Answer:
152.5
Step-by-step explanation:
I hope you dont mind but I have to show my work, so if you could walk me through it, that would be awesome!
Given the function
\(f(x)=5x^2+7x-11\)You have to calculate the value of the function when x=-3, for this, replace x with the given value
\(\begin{gathered} f(-3)=5(-3)^2+7(-3)-11 \\ f(-3)=5\cdot9-21-11 \\ f(-3)=45-32 \\ f(-3)=13 \end{gathered}\)PLEASE HELP ME! I WILL BE GIVING 50 POINTS!
The box plot that represents the data is given as follows:
Bottom plot.
What does a box-and-whisker plot shows?A box and whisker plots shows these five features from a data-set, listed as follows:
The minimum non-outlier value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum non-outlier value.The ordered data-set for this problem is given as follows:
2, 2, 4, 7, 7, 14, 16, 18.
The minimum and maximum values are given as follows:
Minimum of 2.Maximum of 18.The data-set has an even cardinality, hence the median is given by the mean of the two middle elements as follows:
Median = (7 + 7)/2 = 7.
(which removes the top two options).
The quartiles are given as follows:
First quartile -> median of 2, 2, 4 and 7 -> 3.Third quartile -> median of 7, 14, 16, 18 -> 15.Meaning that the last plot is correct. (the one that is already marked).
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Complete the sentence.
If a section of a cicle graph needs to represent 15%, then its angle measure will be _____ degrees.
Answer:
54
Step-by-step explanation:
We know that a circle is 360 degrees. Therefore, ↓
360° -----------> 100%
x°-----------> 15%
\(x = \frac{15}{100} \times 360 \\ = 54\)
Hope this helps =)
You fill a 100 mL graduated cylinder with 38.5 mL of water. What is the volume?
(pls help this assignment is due today)
Answer:
38.5cm³
Step-by-step explanation:
1ml = 1cm³
38.5ml = 38.5cm³
Please help I don’t understand this question plz step by step so I can understand it
9514 1404 393
Answer:
x = 16
Step-by-step explanation:
"Solve algebraically" means "solve it using the rules of algebra." You could also solve it by guessing, or by graphing, or by submitting the equation to a machine solver (calculator, app, or web site).
__
To solve for x, undo what has been done to x. The expression on the right shows that x has 2 added, and the sum is divided by 3. We "undo" these operations in reverse order.
undo divide by 3
Multiplication is the inverse operation for division, so we want to multiply both sides of the equation by 3:
3(6) = 3(x +2)/3
18 = x +2
undo add 2
Subtraction is the inverse operation for addition, so we want to subtract 2 from both sides of the equation:
18 -2 = x +2 -2
16 = x
The value of x that makes this equation true is x = 16.
What is the definition of cause and effect structure?
A. Describes a problem as well as its causes and suggests solutions
B. Shows how two or more things are alike andlor different
C. Shows relationship between events, explains how one thing happens as a result of another
D. Describes a topic, idea, person, place or thing
Answer:
Method of paragraph or essay development in which a writer analyzes the reason for - and / or the consequences of - an action , event, or decision
Answer:
C. Shows relationship between events, explains how one thing happens as a result of another
Step-by-step explanation:
Jill is 11 years younger than Pete. The sum of their ages is 29. What’s the age of Pete.
Answer:
The sum of their ages is 29, which we can express as the equation:
P + (P - 11) = 29
Simplifying the equation:
2P - 11 = 29
Adding 11 to both sides:
2P = 40
Dividing both sides by 2:
P = 20
Therefore, Pete's age, represented by "P," is 20 years old.
37. The profit P of a small business (in thousands
of dollars) since it was founded can be
by the function below, where tis
the years since 1990. Use the Remainder
Theorem to find the company's profit in 2017.
modeled
P(t) = 0.5tª − 3t³ +t² +25
The company's profit in 2017, modeled by the given function, was $193651949.5
How to find the company's profit in 2017The equation of the function is given as
P(t) = 0.5t^6 − 3t³ +t² +25
First, we calculate the value of t in 2017
t = 2017 - 1990
t = 27
Using the Remainder theorem
To find the company's profit in 2017, we need to substitute t = 27 in the given function P(t):
P(27) = 0.5(27)^6 - 3(27)^3 + (27)^2 + 25
Evaluate
P(27) = 193651949.5
Therefore, the company's profit is $193651949.5
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Which is the graph of g(x)=[x+3
The graph of the function g(x) = x + 3 is a straight line that passes through the point (0, 3) on the y-axis and has a slope of 1.
To understand how to plot the graph, let's consider a few points on the line.
We can choose any values for x and calculate the corresponding values for g(x).
Let's start with x = 0.
Substituting this value into the function, we get g(0) = 0 + 3 = 3.
So, the point (0, 3) is on the graph.
Next, let's choose x = 1.
Substituting this value into the function, we get g(1) = 1 + 3 = 4.
This gives us another point on the line, (1, 4).
Similarly, we can choose more values for x and calculate the corresponding values for g(x).
For example, if we let x = -1, we get g(-1) = -1 + 3 = 2, giving us the point (-1, 2).
By connecting these points and extending the line in both directions, we obtain a straight line that represents the graph of g(x) = x + 3.
The line has a positive slope of 1, which means it rises by 1 unit vertically for every 1 unit it moves horizontally.
Overall, the graph of g(x) = x + 3 is a straight line that passes through the point (0, 3) and has a slope of 1.
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Melanie goes to a shelter to buy a dog. She has settled on two dogs, an Alsatian and a bulldog. To decide between them, she plans to flip a coin. Before she does, she flips the coin 50 times to check for fairness of the model. Her results are shown in the table.
Coin Toss Result Times Result Occurred
heads 24
tails 26
The relative frequency of landing on heads is ____. The relative frequency of landing on tails is
____.
Using it's concept, it is found that the relative frequency of landing on heads is 0.48 and of landing on tails is 0.52.
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 50 flips, 24 landed on heads and 26 on tails, hence:
Fh = 24/50 = 0.48.
Ft = 26/50 = 0.52.
The relative frequency of landing on heads is 0.48. The relative frequency of landing on tails is 0.52.
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Graph inequality y > 4
Answer:
Dotted line on (0,4) and shaded upwards.
Step-by-step explanation:
y > 4 means that there is a dotted line on the Y-axis on the number 4. The shading will be done upwards, shading everything greater than 4.
There are six households in a rural community. Each household earns $40,000 per year. Suppose that a new resident builds a mansion in the community and that the income in the new household is $4 million per year. After the new resident arrives, the median household income has _____, and the mean household income has _____. increased; increased not changed; increased not changed; not changed increased; not changed
Answer:
Median income has not changed
Mean income has increased
Step-by-step explanation:
Initial number of houses = 6
Earning per household = $40,000
The initial mean :
$(40,000 * 6) / 6 = $40000
Initial median :
40000, 40000, 40000, 40000, 40000, 40000
= 1/2(n+1)th term,
Median = 40000
A 7th household earns 4,000,000
Mean = ((40000*6) + 4,000,000) / 7 = $605,714
Median = 1/2(n+1)th term
40000, 40000, 40000, 40000, 40000, 40000, 4000000
Median = 4th term = 40000
There are 26 boys and 20 girls in a class.
The boys and the girls have some counters.
The mean number of counters that the boys have is 28.
The mean number of counters that the girls have is 19.
Work out the mean number of counters the 46 children have.
Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.
What is the mean?The mean refers to the average value.
The average is the quotient of the total value divided by the number of items in the data set.
The number of boys in the class = 26
The number of girls in the class = 20
The total number of boys and girls in the class = 46
The mean number of counters that the boys have = 28
The total number of counters that the boys have = 728 (28 x 26)
The mean number of counters that the girls have =19
The total number of counters that the girls have = 380 (19 x 20)
The total number of counters that the class has = 1,108 (728 + 380)
The average or mean number of counters in the class = 24 (1,108 ÷ 46)
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What is the amplitude of the sinusoidal function?
Answer:
The amplitude of the sinusoidal function is 3
Step-by-step explanation:
\(Amplitude=\frac{Maximum+Minimum}{2}\\\\Amplitude=\frac{1+(-7)}{2}\\ \\Amplitude=\frac{1-7}{2}\\\\Amplitude=\frac{-6}{2}\\ \\Amplitude=-3=3\)
A contractor can by two types of wood. she got 45 expensive wood and 60 cheap wood for the same total price. if the 45 expensive wood cost $3.00 more than the 60 cheap wood, then which equation below shows the correct relationship between the 2 types of wood that she purchased. Also (x =price of the 60 cheap wood)
A.45(x+3)=60x
B.45(x-3)=60x
C.60(x-3)=45x
D.60(x+3)=45x
The correct answer is,
C. 60(x - 3) = 45x.
This equation is based on the information that the 45 expensive wood costs $3.00 more than the 60 cheap wood. In other words, if the price of the 60 cheap wood is x, the price of the 45 expensive wood is x + 3.
Since, Algebra involves working with numbers, equations, and variables to solve real-world problems and understand abstract relationships.
Now, To solve this equation, we must use algebra and solve for x.
First, we multiply both sides of the equation by 4/5. This gives us:
48x + 36 = 45x
-36 = 3x
Finally, we divide left side of the equation by 3, giving us the final solution:
x = -12
Therefore, the price of the 60 cheap wood is $12, and the price of the 45 expensive wood is $15.
that is, 60 (x - 3) = 45x
This equation shows the correct relationship between the two types of wood that the contractor purchased.
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