Answer:
The volume of the sculpture is 111.439
Step-by-step explanation:
It is commonly said that 10 of people are left-handed, but Lilianna suspected that a higher proportion of art students at her university are left-handed. To test this theory, she took a sample of 150 art students and found that p^=14% of the sample was left-handed.
To see how likely a sample like this was to happen by random chance alone, Lilianna performed a simulation. She took a sample of n=150 students from a population where 10% of the students were left-handed, and she recorded what proportion of the sample was left-handed. She repeated this process for a total of 50 samples. Here are the sample proportions from her 50 samples:
She wants to test H0:p=10% vs. Ha:p>10% where p is the proportion of art students at her university who are left-handed.
Based on these simulated results, what is the approximate p-value of the test?
Note: The sample result was p^=14%.
Answer: p-value ≈ 0.08
Step-by-step explanation:
The approximate p-value of the test is 0.0136 as per the data given in question.
What is p-value?The p value is a number calculated from a statistical test that describes the likelihood of finding a specific set of observations if the null hypothesis is true.
To find the approximate p-value of the test, we need to compare the sample proportion p^ to the hypothesized proportion p0 = 10% under the null hypothesis H0:p=10% vs. Ha:p>10%.
Since the sample size n is large (n = 150) and the null hypothesis assumes a normal distribution.
We can use the normal approximation to the binomial distribution. Under the null hypothesis, the test statistic z is given by:
z = (p^ - p0) / sqrt(p0 * (1 - p0) / n)
Plugging in the values, we get:
z = (0.14 - 0.1) / sqrt(0.1 * 0.9 / 150)
z = 2.22
The approximate p-value for this one-tailed test can be found by looking up the area to the right of z = 2.22 under the standard normal distribution.
Using a standard normal distribution table or calculator, we find that the area to the right of z = 2.22 is approximately 0.0136.
Therefore, the approximate p-value of the test is 0.0136. This means that if the true proportion of left-handed art students at the university is 10%, there is approximately a 1.36% chance of getting a sample proportion of 14% or higher by random chance alone.
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Struggling with these last two. Thanks so much!!
Answer:
1. C
2. D
Step-by-step explanation:
1. first find the slope by using the formula (y2-y1)/(x2-x1). We need to find the equation for CE so use points C (0, 1) and E (5, 5). (5-1)/(5-0) = 4/5, which is the slope. from there u can tell that the answer is the third choice, which let's say is C, because the y intercept of the line is 1.
2. Do the same thing except with points A (-5, 1) and D (0, 6). (6-1)/(0-(-5)) = 1
The y intercept is 6 because that is where the line intersects the y axis, or where x is 0.
so the equation is y=x+6, which is just the last option, let's say D, but just rearranged
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the endpoints of the t-distribution with 5% beyond them in each tail if the samples have sizes ni = 8 %3D and 11 n2 Enter the exact number for the degrees of freedom and round your answer for the endpoints to two decimal places. degrees of freedom = endpoints
Answer:
i think it 36 sorry if it wrong tho have a nice day
Step-by-step explanation:
find the axis of symmetry of the parabola
The slope of the line below is -0.75. Write the equation of the line in point-
slope form, using the coordinates of the labeled point. Do not use parenthesis
on the y side.
(2, -1)
HELP PLEASE
i think i’m correct but i don’t know the answer for the last one at the bottom!!!
Answer:
7.07
Step-by-step explanation:
Find the area of rectangle ABCD
Answer: 12
Step-by-step explanation:
You can find the area of a rectangle that forms around it, and then subtract the little extra triangles. You can form a 5 by 5 square around the points. There are 4 extra little triangles. Two of them have a base and height of 2 and 2. Two of them have a base and height of 3 and 3. So you get the total area of those 4 triangles to be: 2+2+4.5+4.5=13. So 25-13=12.
How many 1/3s are in 1 2/3?
Answer:
12
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
3/3+2/3 = 5/3
Answer is 5
line segment AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides line segment AB in a 1:2 ratio?
Answer: Section formula
Step-by-step explanation:
Given
The line segment AB with endpoints [tex]A(2,2)[/tex] and [tex]B(14,14)[/tex] is divided by a point X in the ratio 1:2
To verify that X divides the line segment in the ratio 1:2, we will use section formula. Section formula tells the coordinates of the point which divide the line segment in the certain ratio or vice-versa.
We will assume that X divides AB in k:1 and insert the values in the section formula. If the ratio k:1 comes out to be 1:2, then it verifies the claim.
Find the value of x UREGENT HELP PLEASE
Answer:
15.3
Step-by-step explanation:
Cos 32 = x/18
Cos 32 = 0.848048096
x/18 = 0.848048096
x = 15.3 (rounded)
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 2 of 2 : Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level. Using the data, construct the 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.
Answer:
The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level.
So 292 - 240 = 52 read below or at eight grade level, and that [tex]n = 292, \pi = \frac{52}{292} = 0.178[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.149[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.207[/tex]
The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).
can someone plz help
ANSWER ASAP! WILL MARK BRAINLIEST!
Select all the correct answers.
Which two tables represent the same function?
х|у
4|8
6|7
х|у
4|5
6|4
х|у
2|8
8|5
x|y
2|10
6|14
x|y
2|9
8|6
Answer:
The first and last set
y = (-1/2) + 10
Step-by-step explanation:
Two points form a line
The first and last set have a slope of -1/2
and b intercept of 10
х|у
4|8
6|7
y = (-1/2) + 10
and
x|y
2|9
8|6
y = (-1/2) + 10
The requried, tables that represent the same function are tables 1 and 3.
What is function?In mathematics, a function is a relationship between two sets of numbers, known as the domain and range, in which each element in the domain is associated with exactly one element in the range.
Here,
The tables that represent the same function are:
x|y
4|8
6|7
x|y
2|8
8|5
For two tables to represent the same function, they must have the same output for the same input. In the first table, input 4 gives output 8 and input 6 gives output 7. In the second table, input 2 gives output 8 and input 8 gives output 5. Therefore, these two tables represent the same function.
The other tables do not represent the same function, as they have different outputs for the same input values.
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The two pyramids below are similar. What is the length of the altitude of the
smaller pyramid?
Answer:
B is the correct answer........
How many fifths must be added to 3.4 to total 4?
Please Help Immediately
Use the distributive property to find the equivalent expression. 9(2 + 3x) =
Answer:
9(2+3x)
9*2+9*3x
18+27x
Step-by-step explanation:
Given a circle with a circumference of 30pi inches, solve for the exact area of a sector in terms of pi, whose central angle is one-fifth of the measure of the
circle.
Plz help me well mark brainliest if correct!.,....
Answer:
6cm
Step-by-step explanation:
I did 24 divided by 4 since a square has 4 sides
What is the measure of arc BC?
9514 1404 393
Answer:
100°
Step-by-step explanation:
Arc BC is twice the measure of inscribed angle BEC, so is ...
arc BC = 2×50°
arc BC = 100°
Answer:
Step-by-step explanation:
The inscibed angle E is 1/2 the measure of the central angle P so P is 100 degrees, and arc BC is also 100 degrees.
What is the correct answer?? I will mark as brainlest
Answer: t=0.15n
Step-by-step explanation:
What is an example of a regular polygon?
Answer:A few examples of regular polygons are a triangle, quadrilateral, pentagon, hexagon, heptagon, and a decagon.
A pharmaceutical sale representative gets paid $50,000 annually plus 3.5% commissions on total sales. This year he sold $420,000 in pharmaceuticals. What are his annual total earnings? someone help pls
Answer:
[tex] \frac{3.5}{100} \times 420000 = 14700commission \\ total \: earnings = 50000 + 14700 \\ = 64700[/tex]
Tina has 8 pounds of flour to bake cookies. She uses 1/2 of a cup of flour to make each batch. How many batches of cookies can she make?
Group of answer choices
16
8
1/16
9
Some one help will give brain
Answer:
what the link? didfbdsfaahsdfhsd
Step-by-step explanation:
Solve the quadratic equation by using either a numeric or a graphic approach.
x2 - 12x – 144 = 0
a. x= -12.4 or x = -7.4
c. x = 9.4 or x = -7.5
b. x = 19.4 or x = -7.4
d. x = 9.4 or x = -3.4
Answer:
B
Step-by-step explanation:
Simplify -4(2x - 3) + 7 x – 1.
Answer:
-x+11
Step-by-step explanation:
11. You earn $500 in 80 hours. At that rate. how much would you eam in 200 hours?
Answer:
Should be 1250$
Answer:
1250
Step-by-step explanation:
First we divide 500 divide by 80 that will give you 6.25
So then you multiply 6.25 by 80 to get sure then if you are sure, yo will multiply 6.25 by 200 that will give you, 1,250.
A. 20
b. 5
c. 40
d. 45
Answer:
C, 40
Step-by-step explanation:
You can set up the equation as 20+4x=180
180 is the total angle of the line
4x=160 and divide each side by 4
x=40
Which graph represents exponential decay?
80
80
80
180
80
60
60
40
60
40
20
90
40
20
20
20
2.
2
3
3
2 3
e
Answer:
d
Step-by-step explanation:
Tessellations
Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1,4), R(-2, -4) and
S(2, -4) under the translation (x,y) ⇒ (x-5,y+3)
a. P' (-4, 7), Q' (-6, 7), R' (-7, -1) and S' (-3, -1)
b. P' (6, 7), Q' (4, 7), R' (3, -1) and S' (7, -1)
c. P' (-4, 1), Q' (-6, 1), R' (-7, -7) and S' (-3, -7)
d. P' (6, 1), Q' (4, 1), R' (3, -7) and S' (7, -7)
Please select the best answer from the choices provided
Answer:
A. P' (-4, 7), Q' (-6,7), R' (-7, -1) and S' (-3, -1)
Step-by-step explanation:
I calculated it logically