2. A bookshelf costs $300 normally. Today it is on sale for 20% off. Which expression or expressions could you use to find the sale price? Circle all correct answers.
a.300 + 0.2(300)
b.300 - 0.2(300)
c.0.2(300)
d.300(0.8)
Answer/Step-by-step explanation:
$300 is the normal price the sale is 20% off
You would need to multiply them together because it then gives you how much it is off.
Then then you would subtract it.
That takes D and C off.
A , is adding and we arnt adding we are subtracting.
Therefore you answer is: B
What is the greatest common factor of 60x4y7, 45x5y5, and 75x3y?
Answer: I’m pretty sure the common factor is 15x3y
Answer:
Answer: I’m pretty sure the common factor is 15x3yStep-by-step explanation:
Which rule describes the function whose graph is shown?
Answer: B
Step-by-step explanation:
from edge
Answer:
B
Step-by-step explanation:
Edge 2022
The rent for a one-bedroom apartment in Southern California follows the normal distribution with a mean of $2,350 per month and a standard deviation of $260 per month. The distribution of the monthly costs does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,260 per month
Answer:
0.9974 = 99.74% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,260 per month.
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 zscore 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 pvalue, 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.
The rent for a one-bedroom apartment in Southern California follows the normal distribution with a mean of $2,350 per month and a standard deviation of $260 per month.
This means that [tex]\mu = 2350, \sigma = 260[/tex]
Sample of 65 one-bedroom apartments
65>30, which means that the sampling distribution of the sample means will be approximately normal. Also, [tex]n = 65, s = \frac{260}{\sqrt{65}} = 32.249[/tex]
What is the probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,260 per month?
This is 1 subtracted by the pvalue of Z when X = 2260.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2260 - 2350}{32.249}[/tex]
[tex]Z = -2.79[/tex]
[tex]Z = -2.79[/tex] has a pvalue of 0.0026
1 - 0.0026 = 0.9974
0.9974 = 99.74% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,260 per month.
In an article in the Journal of Advertising, Weinberger and Spotts compare the use of humor in television ads in the United States and the United Kingdom. They found that a substantially greater percentage of U.K. ads use humor. (a) Suppose that a random sample of 400 television ads in the United Kingdom reveals that 147 of these ads use humor. Find a point estimate of and a 95 percent confidence interval for the proportion of all U.K. television ads that use humor. (Round your answers to 3 decimal places.) (b) Suppose a random sample of 455 television ads in the United States reveals that 119 of these ads use humor. Find a point estimate of and a 95 percent confidence interval for the proportion of all U.S. television ads that use humor. (Round your answers to 3 decimal places.) (c) Do the confidence intervals you computed in parts a and b suggest that a greater percentage of U.K. ads use humor
Answer:
a)
The point estimate is 0.368.
The 95 percent confidence interval for the proportion of all U.K. television ads that use humor is (0.321, 0.415).
b)
The point estimate is 0.262.
The 95 percent confidence interval for the proportion of all U.S. television ads that use humor is (0.222, 0.302).
c)
Yes, because the lower bound of the confidence interval for UK proportions is higher than the upper bound of the confidence interval for US proportions.
Step-by-step explanation:
(a) Suppose that a random sample of 400 television ads in the United Kingdom reveals that 147 of these ads use humor.
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].
Sample of 400:
This means that [tex]n = 400[/tex]
Point estimate:
[tex]\pi = \frac{147}{400} = 0.368[/tex]
The point estimate is 0.368.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.368 - 1.96\sqrt{\frac{0.368*0.632}{400}} = 0.321[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.368 + 1.96\sqrt{\frac{0.368*0.632}{400}} = 0.415[/tex]
The 95 percent confidence interval for the proportion of all U.K. television ads that use humor is (0.321, 0.415).
(b) Suppose a random sample of 455 television ads in the United States reveals that 119 of these ads use humor.
Sample of 455:
This means that [tex]n = 455[/tex]
Point estimate:
[tex]\pi = \frac{119}{455} = 0.262[/tex]
The point estimate is 0.262.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.262 + 1.96\sqrt{\frac{0.262*0.738}{455}} = 0.222[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.262 + 1.96\sqrt{\frac{0.262*0.738}{455}} = 0.302[/tex]
The 95 percent confidence interval for the proportion of all U.S. television ads that use humor is (0.222, 0.302).
(c) Do the confidence intervals you computed in parts a and b suggest that a greater percentage of U.K. ads use humor?
Yes, because the lower bound of the confidence interval for UK proportions is higher than the upper bound of the confidence interval for US proportions.
Can someone help me picture inserted
Answer:
~77°
Step-by-step explanation:
cosQ = 9/40
inverse cosine(9/40) ≈ 77° = Q
There are 1420 students enrolled at Senn. If 60% of these students walk to school, how many students are walking to school?
I need an explanation also :)
Answer:
852 students walking to school
Step-by-step explanation:
Lets start with a simple example so you can get it
if 60% of 100 students walk to school that means
60 students walk to school... right??
so lets simplify it more that means you have multiplied 100 (students) by 60%
or [tex]\frac{60}{100}[/tex] (note: you can say that 60% is equal to [tex]\frac{60}{100}[/tex] )
so the problem told 60% of 1420 students walk to school that means we should
do this: [tex]1420*\frac{60}{100} = 852[/tex]
Answer:
852 walk to school
Step-by-step explanation:
i got this because i divided the 1420 into 10 which became a 142, multiply by 6 and you get 852
also you could
it is really simple also, all you have to do is multiply the number of student, S times the precent of students who walk, so s times w, which is 60 precent turend into .6 precent so 1420 x .6
Give the coordinates of point A?
Answer:
(-2,-5)
Step-by-step explanation:
Answer:
-2, -5
Step-by-step explanation:
Write the equation in standard form for the circle with center (0, – 8) and radius 10.
If you failed your math test due to being unprepared. What are 2 things that you could have done to prevent being unprepared for your test?
Answer:
go everything youve learnt from grade 3 come right up
Step-by-step explanation:
sometimes its knowing the simply formulas thatll get you through
Does the table represent a function? Why or why not?
Х
у
0
4
5
5
7
9
mm
2.
A. No, because two of the p-values are the same.
B. No, because one x-value corresponds to two different y-values.
C. Yes, because there is the same number of x-values as yuvalues.
D. Yes, because every x-value corresponds to exactly one y-value.
Need help please don’t scam it not cool
someone please answer this!!
Answer:
x=8
Step-by-step explanation:
A rectangular prism has dimensions of 4 cm by 3 cm by 2 cm.
Area_{rectangle}=b. h
PART A
What is the surface area?
Answer:
48
Step-by-step explanation: surface area = 2 (lw + hl + hw)
2 ( 2 x2 + 5x2 + 5x2)
2 (4+10+10)
2(24)
48 cm
Step-by-step explanation:
Answer:
WHAT THE OTHER PERSON SAID
Step-by-step explanation:
Question 4(Multiple Choice Worth 3 points)
(06.06)
Which of the following shows 3+ (x + 6y) rewritten using the Associative Property of Addition?
O 3 + x + 6y
O 3x + (6 + y)
O x + (3 + 6y)
O (3 + x) + 6y
I need help ASAP
What value of s in the equation S/6=18?
A.108
B.24
C.12
D.3
Answer:
108
Step-by-step explanation:
s=18x6
s=108
What value of x would make the following relation a function?
Answer: the answer is
C.) -2
Step-by-step explanation:
I got this answer by simply looking at the pattern. It goes -2,-3,2,3, and then starts over, So the answer would have to be -2. I hope this helped and good luck:))
The value of x that would make the relation a function is x = 3.
Option D is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
{ (-2, -3), (-3, -2), (2, 3), (3, 2), (x, 2) }
A function can not be one-to-many.
A function can be many-to-one and one-to-one
Now,
If x = 2, -3, -2 we get one-to-many.
But if x = 3 we get one-to-one.
Thus,
x = 3.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
Write the quadratic equation in standard form:
2x – 1=-x^2
Answer: -x^2-2x-1
Step-by-step explanation:
(NOT A MULTIPLE CHOICE)
Suppose a civic engineer wants to conduct a survey to find out if residents of a city would be in favor of widening one of the city's roadways for increased traffic flow
a. Would a sample consisting of residents who utilize that roadway to travel to work each morning be representative? Explain.
b. Would a sample consisting of residents who live along that roadway be representative? Explain.
c. Would a random sample of homeowners in the city be representative? Explain.
9514 1404 393
Answer:
a, b, c --- all not representative
Step-by-step explanation:
The question posed by the engineer is "are residents of the city in favor of ...".
The only representative sample is one from a pool that includes all residents of the city—not just those who (a) use the road, (b) live along the road, or (c) own homes.
__
Additional comment
The engineer may want to refine the question. As posed, it would include children, homeless, and/or institutionalized residents of the city as well as drivers and tax-payers. In inclusive cultural traditions, "residents of the city" may also include animals, plants, water, air, and other holders of spiritual energy.
I NEED AN EXPLANATION
=7×9
=36 square feetffgxdx
Solve for z.
z^3 - 8=0
Write your answers in simplified, rationalized form.
it needs to have an i, square roots i don’t know how to answer it someone please help me
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{z^3 - 8 = 0}\\\text{ADD 8 to BOTH SIDES}\\\mathsf{z^3 - 8 + 8 = 0 + 8}\\\text{Cancel\ out: -8 + 8 because that gives you 0}\\\text{Keep: 0 + 8 because it gives 8 and we need that to solve for your z value}\\\mathsf{z^3=8}\\\text{TAKE the CUBE ROOT}\\\mathsf{z = 8{^(\dfrac{1}{3})}}\\\\\text{SIMPLIFY the EQUATION above and you have your z value}\uparrow\\\\\boxed{\boxed{\large\text{Answer: \bf z = 2}}}\huge\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
PLEASE HELP ME WITH THE LITTLE QUESTION
Answer:
y = -x +2
Step-by-step explanation:
First let's find the slope.
(-1,3) and (4,-2)
3 - -2/ -1 - 4 = 5/-5 = -1
Slope = -1
Now let's use slope intercept form:
y1-y2=m(x1-x2)
Let's plug in our slope for m.
y1-y2= -1 (x1-x2)
And now let's substitute y2 and x2 for one of our points, I'll use (4,-2)
y1+2 = -1(x1- 4)
y= -x + 4 -2
y = -x +2
What is the slope of the line through (- 3, 2) and (0, 1) ?
Answer:
-1/3
Step-by-step explanation:
Slope Formula = (y2-y1) over (x2-x1)
(1-2) over (0- -3)
(-1) over (0+3)
-1 over 3
-1/3
Hope this helps. Have a nice day you amazing bean child.
I accidentally clicked 4's answer (i dont know if it's right or not) so just forget that but do you guys know the answer to 4 and 5? I need to finish this assignment by today and I'm not good at this-
Find the sum:
5
3 +2
6
Help pls
3 + 2 + 5/6
= 5 + 5/6
= 5 + 0.83 (convert 5/6 to decimal form)
= 5.83
A right triangle table top has legs that
measure 3.5 feet. What is the perimeter
of the table top?
Answer:
i
Step-by-step explanation:
Answer:
12 feet
Step-by-step explanation:
use the pythagorean theorem to figure out what the hypotenuse is
3.5^2+3.5^2=x^2
12.25+12.25=x^2
25=x^2
x=5
now that you know the hypotenuse, you can find the perimeter by adding up all the sides
3.5+3.5+5=12
Question 4 of 10
How much would $500 invested at 6% interest compounded monthly.be
worth after 5 years? Round your answer to the nearest cent.
Answer:
1800$
Step-by-step explanation:
(6% of 500 is 30)
(30 x 12 is 360)
(360 x 5 is 1800)
please help this is due in 5 minutes
Answer:
23 inches
Step-by-step explanation:
Which values are the solutions to the inequality below? Check all that apply.
X^2 < 10
Answer:
3
Step-by-step explanation:
if you can't use calculator, you must know that after a number being square root, it MUST be in positive
for the negative answer will be false
so for the rest of the answer you need to try it
3² = 9 < 10 so it's true
4² =16 > 10 so it's false
the only answer is 3
What is 11 7/20 in decimal form?
Answer:
the answer is 11.25
Step-by-step explanation:
Convert the proper fraction to decimal: Divide the numerator by the denominator
7 ÷ 20 = 0.35
Add this decimal number to the whole number of the mixed fraction
11 + 0.35 = 11.35