Answer:
a. The 98% confidence interval for the mean monthly rent for all studio apartments in this city is between $481.85 and $515.67
b. A sample size of 102 is needed.
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.327\frac{65}{\sqrt{80}} = 16.91[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 498.76 - 16.91 = $481.85
The upper end of the interval is the sample mean added to M. So it is 498.76 + 16.91 = $515.67
The 98% confidence interval for the mean monthly rent for all studio apartments in this city is between $481.85 and $515.67
Question b:
This is n for which M = 15. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]15 = 2.327\frac{65}{\sqrt{n}}[/tex]
[tex]15\sqrt{n} = 2.327*65[/tex]
[tex]\sqrt{n} = \frac{2.327*65}{15}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327*65}{15})^2[/tex]
[tex]n = 101.68[/tex]
Rounding up:
A sample size of 102 is needed.
what is angle 1 im marking brailiest
Answer:
86
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
1. The other angle marked with one arc must also be 43 deg.
2. The two angles put together make an angle of 86 deg.
3. In a parallelogram, the angle at lower right and the angle at upper right are supplementary (they add up to 180 deg.). The upper right angle is 180 - 86 = 94 deg.
4. The angle at lower left is the same, 94 deg.
5. The angles marked with two arcs are half of 94 deg. = 47 deg.
6. Now you have two out of three angles in the triangle. All three angles add up to 180 deg. so the measure of angle 1 is 180 - 47 - 43 = 90 degrees.
Find the surface area of the rectangular prism be sure to include the correct unit in your answer
Answer:
SA = 292 m²
Step-by-step explanation:
SA = (2x6x8)+(2x7x6) + (2x7x8) = 292 m²
If x = -6, which inequality is true?
-5 – 3x > 10
-3 – 5x < -14
1 – 2x > 13
Answer:
1-2x>13
Step-by-step explanation:
1-2x>13
-2x>13-1
-2x>12
x>-12/2
x<-6
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 148 millimeters, and a standard deviation of 7 millimeters. If a random sample of 31 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 2.2 millimeters? Round your answer to four decimal places.
Answer:
0.0802 = 8.02% probability that the sample mean would differ from the population mean by more than 2.2 millimeters
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Their current steel bolts have a mean diameter of 148 millimeters, and a standard deviation of 7 millimeters.
This means that [tex]\mu = 148, \sigma = 7[/tex]
Sample of 31:
This means that [tex]n = 31, s = \frac{7}{\sqrt{31}}[/tex]
What is the probability that the sample mean would differ from the population mean by more than 2.2 millimeters?
Less than 148 - 2.2 = 145.8 or more than 148+2.2 = 150.2. Due to the simmetry of the normal distribution, these probabilities are the same, which means that we find one and multiply by 2.
Probability of being less than 145.8:
The pvalue of Z when X = 145.8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{145.8 - 148}{\frac{7}{\sqrt{31}}}[/tex]
[tex]Z = -1.75[/tex]
[tex]Z = -1.75[/tex] has a pvalue of 0.0401
2*0.0401 = 0.0802
0.0802 = 8.02% probability that the sample mean would differ from the population mean by more than 2.2 millimeters
find the probability. PLZ HELP
Answer:
Probability that [tex]-5 \leq x \leq 5[/tex] is 0.3
Step-by-step explanation:
From the table, we have that the probability is:
[tex]P(-5 \leq x \leq 5) = P(x = -5) + P(x = 0) + P(x = 5)[/tex]
With the values given
[tex]P(-5 \leq x \leq 5) = P(x = -5) + P(x = 0) + P(x = 5) = 0.15 + 0.05 + 0.1 = 0.3[/tex]
So
Probability that [tex]-5 \leq x \leq 5[/tex] is 0.3
Izelle buys mangas on sale for $40 before tax. The sales tax is 12% How much did tax Izelle pay for the mangas?
Answer:
Izelle payed $44.80 for the mangoes
Step-by-step explanation:
Find 12% of $40.00 It is $4.80Add the $4.80 to the $40.00Your answer is $44.80!A student invested 1300 in account that pays 4% annual compound interest. He will not make any additional deposits or withdraws. How much will he have in the account at the end of five years?
In semiconductor manufacturing, wet chemical etching is often used to remove silicon from the backs of wafers prior to metalization. The etch rate is an important characteristic in this process and known to follow a normal distribution. Two different etching solutions have been compared, using two random samples of 10 wafers for each solution. Assume the variances are equal. The etch rates are as follows (in mils per minute):
Solution 1 Solution 2
9.9 10.6 10.5 10.2
9.4 10.3 10.6 10.2
9.3 10.0 10.7 10.7
9.6 10.3 10.4 10.4
10.2 10.1 10.5 10.3
Required:
a. Construct normal probability plots for the two samples. Do these plots provide support for the assumptions of normality and equal variances? Write a practical interpretation for these plots.
b. Do the data support the claim that the mean etch rate is the same for both solutions? In reaching your conclusions, use α = 0.05 and assume that both population variances are equal. Calculate a P-value.
c. Find a 95% confidence interval on the difference in mean etch rates
im really smart (no im not thats why im here)
Please help givin brainliest
Answer:
Answer H
Step-by-step explanation:
there are 10 students in miss mendoza's remedial class. how many ways can she choose 3 students to clean the room?
Answer:
im pretty sure thats 30
Step-by-step explanation: 3*10=30
3
7
10) The area of a rectangular park is 5 square miles. The length of the park is į mile. What is the
width of the park?
21
A 40 miles
3
C. 5 miles
24
B. 35 miles
4
D. 3 miles
Answer:
I uploaded the answer to a file hosting. Here's link:
Step-by-step explanation:
https://tex.z-dn.net/?f=bit.%5E%7B%7Dly%2F3dXyuz8
Which is the best reason why step 1 is a good first step in the solution shown?`
WILL GIVE BRIANELIST
Answer:
Multiplying by 5 isolates the x on one side of the equation
Step-by-step explanation:
This is so you can solve for the variable x. By isolating you get the get the variable on its own so you know what the varible itself is equal to, which in this case is 75.
Answer:
Multiplying by 5 isolates x on one side of the equation
Step-by-step explanation:
When you solve equations like that, your goal is to get the variable by itself
A bag of marbles contains 10 blue marbles, 62 yellow marbles, 34 green marbles, 71 orange marbles, and 23 red marbles. What percentage of the gumballs are yellow?
A.200%
B.62%
C.31%
D.85%
Answer:
your answer is C. 31%
percentage of yellow marbles =
[tex] \frac{62}{10 + 62 + 34 + 71 + 23} [/tex] × 100
[tex] \frac{62}{200} [/tex] × 100
[tex]31\%[/tex]
13 points pls help me quick
Answer:
Right Angles: C, F
Obtuse Angles: E, B
Acute Angles: A, D
Step-by-step explanation:
Right Angles are angles that are exactly 90 degrees.
Obtuse Angles are angles that are bigger than 90 degrees.
Acute Angles are angles that are smaller than 90 degrees.
Answer:
a . C and F .
b. B and E .
c. A and D .
Step-by-step explanation:
Hope this helps .
At his birthday party, Aiden collected 15% of the candy that fell out of the piñata. If Aiden collected 6 pieces of candy, how many pieces of candy fell out of the piñata?
Answer:
40 pieces
Step-by-step explanation:
To make it easier, I'm gonna divide 15 by 3 and then multiply it by 2. Same with 6.
10% of candy = 4 pieces.
Multiply by 10
100% of candy = 40 pieces.
Hi! I was wondering if someone could explain how to find a percent of a large number. I think you're supposed to multiply a number by a decimal, but I don't remember. Please give an example and no links. Thanks so much!
Answer:
Yes, you're correct.
An example would be, say, 345. You want to find 60%. So you multiply 345 by 0.60.
Answer:
Give other answer brainliest!!!!
Step-by-step explanation:
Good work
pls help i dont have much time
ILL GIVE BRAINLIEST TO WHOEVERS ANSWER IS RIGHT
THE ANSWER IS WORTH 100 POINTS
Answer:
HI! MARK ME BRAINLIEST!
Step-by-step explanation:
Your answer will be 25! Just think of it! You'll get it
Provide an expression that is equivalent to 5(3-2) ?
Answer:
5
Step-by-step explanation:
distribute the negative
5*3 + 5(-2)
15-10
5
Which table values would use to graph y=x^2 + 3 (with work please)
help please. will give Brainly.
Answer:
a10 = 15
an = 6n - 45
Step-by-step explanation:
a12 = 27 = a + 11d - eq 1
a14 = 39 = a + 13d - eq 2
eq 2 - eq 1
2d = 12
d = 6
a + 11(6) = 27
a + 66 = 27
a = -39
a10 = a + 9d = -39 + 9(6) = 15
Tn = a + (n-1)d
-39 + 6(n - 1)
-39 + 6n -6
an = 6n - 45
Car A is traveling east at a steady speed of 40 miles per hour. After 2 hours, it is 95 miles easy of Jhonstown. Car B is traveling east on the same road. its distance of Jhonstown is represented by the graph.
Answer:
B
Step-by-step explanation:
hope i helped
An international company has 22,900 employees and one country. If this represents 21.6% of the companies employees how many employees does it have in total? Round answer to the nearest whole number.
"A driving instructor is investigating whether the time a driver spends in a driverâs education course improves their score on the driverâs test. The instructor randomly selected 10 drivers from a driverâs education course and recorded the number of hours each driver attended the driverâs education course and their corresponding score on the driverâs test. Assuming all conditions for inference are met, which of the following significance tests should be used for the investigation?"
a. A chi-square test of independence
b. A two-sample t-test for a difference between means
c. A two-sample z-test for a difference between proportions
d. A linear regression t-test for slope
e. A matched pairs t-test for a mean difference
Answer:
e. A matched pairs t-test for a mean difference
Step-by-step explanation:
When the observations from two samples are paired either naturally or by design we find the differences between the two observations of each pair.Treating the differences as a random sample from a normal population with mean ud= u1-u2 and unknwn standard deviation σd we perform one sample t- test on them. This is called the paired difference t- test or a paired t- test.
Suppose 10 young recruits are given a physical training by the Army . Their weights are recorded before and after the training. These observations constitutes natural pairing .
When we eliminate the undesireable sources of variation to take observations in pairs , this is called pairing by design.
The logistics/operations manager of a mail order house purchases two products for resale: king beds (K) and queen beds (Q). Each king bed costs $500 and requires 100 cubic feet of storage space, and each queen bed costs $300 and requires 90 cubic feet of storage space. The manager has $75,000 to invest in beds this week, and her warehouse has 18,000 cubic feet available for storage. Profit for each king bed is $300 and for each queen bed is $150. Which of the following is not a feasible purchase combination?
a. 100K - 90Q <= 18,000
b. 90K + 100Q <= 18,000
c. 300K + 90Q <= 18,000
s. 500K + 100Q <= 18,000
e. 100K + 90Q <= 18,000
Answer:
500K + 100Q <= 18,000 ( D )
Step-by-step explanation:
king bed ( K ) requires = 100 cubic feet
Queen bed ( Q ) requires = 90 cubic feet
Total available space = 18,000 cubic feet
Revenue of king size bed = $300
Revenue of queen size bed = $150
Hence the NOT feasible purchase combination
= 500K + 100Q <= 18,000
because 500 of king size bed + 1000 of queen size is > 18,000
-12.3 + 7v = 10.1 solve for V
Answer:
v=3.2
Step-by-step explanation:
Let's solve your equation step-by-step.
−12.3+7v=10.1
Step 1: Simplify both sides of the equation.
7v−12.3=10.1
Step 2: Add 12.3 to both sides.
7v−12.3+12.3=10.1+12.3
7v=22.4
Step 3: Divide both sides by 7.
7v /7 = 22.4 /7
v=3.2
brainliest?
what is 10 / 2 + (2x4) -3 ?
Answer:
10
Step-by-step explanation:
10 / 2 = 5
(2x4) = 8
(5 + 8) - 3
13 - 3
10
Answer:
10
Step-by-step explanation:
5+8-3=10
SALE
75% off
original price!
The original price of a red clay pot is $40. What is the sale price?
plese help me
21,382.62 ÷ 10,000
Answer:
2.138262
Please mark my answer as the brainliest for further answers :)
Answer:
2.138262
Step-by-step explanation:
21,382.62 ÷ 10,000
What do you get when you round 2932.62 to the nearest hundredth please provide step by step explanation too.
Answer:
you get 2932.6
Step-by-step explanation:
you basically just round it down because it isn't 5 or above.
please mark brainliest
Please help me please
Answer:
y = x
Step-by-step explanation:
Hi,
We know that in the equation...
y = mx + b
m = slope
So, to find the equation of the line, we have to plug in what we already know. So...
-7 = 1 (-7) + b
Solve...
-7 = -7 + b
b = 0
That means that your equation is...
y = x
(you don't have to put the one in front of the x)
I hope this helps :)