Answer:
12.5 %
Step-by-step explanation:
change = 32 − 28 = 4 pages
use the given area to find the scale factor from the small figure to the large
In spite of the potential safety hazards, some people would like to have an Internet connection in their car. A preliminary survey of adult Americans has estimated this proportion to be somewhere around 0.40. Use the given preliminary estimate to determine the sample size required to estimate this proportion with 95% confidence and a margin of error of 0.02. (Round your answer up to the nearest integer.)
Answer:
The sample size required is of 2305.
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].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
A preliminary survey of adult Americans has estimated this proportion to be somewhere around 0.40.
This means that [tex]\pi = 0.4[/tex]
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 sample size required to estimate this proportion with 95% confidence and a margin of error of 0.02.
The sample size required is of n.
n is found when M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{0.4*0.6}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96\sqrt{0.4*0.6}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.4*0.6}}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.4*0.6}}{0.02})^2[/tex]
[tex]n = 2304.96[/tex]
Rounding up
The sample size required is of 2305.
Which polynomial is prime? x2 – 36 x2 + 16 x2 – 7x + 12 x2 – x – 20
Answer:
B
Step-by-step explanation
ed 2020
Cesium-137 has a half-life of 30 years. Find the
amount of cesium-137 left from a 100 milligram
sample after 180 years.
Answer:
199 yr
Step-by-step explanation:
Answer:
199 years
Step-by-step explanation:
Hope it helps u
FOLLOW MY ACCOUNT PLS PLS
What is the volume of this figure? A:320 inches cube, B:400 inches cube, C: 480 inches cube or, D:560 inches cube?
Answer:
480 in³
Step-by-step explanation:
15x4x4=240
10x4x4=160
5x4x4=80
240+160+80=480
5. Claude is wrapping cylindrical bug spray containers in tissue paper to put them inside a box.
Each container has a height of 12.7 centimeters and a radius of 3 centimeters.
If he is wrapping a total of 5 bug spray containers, how many square
centimeters of tissue paper will he need?
Answer:
[tex]1197.42\ cm^2[/tex]
Step-by-step explanation:
Given that,
The height of cylinder, h = 12.7 cm
The radius of the cylinder, r = 3 cm
The curved surface area of a cylinder for 5 bug spray is given by :
[tex]C=5\times 2\pi rh\\\\C=10\times \dfrac{22}{7}\times 3\times 12.7\\\\C=1197.42\ cm^2[/tex]
So, [tex]1197.42\ cm^2[/tex] of tissue papers will be needed.
ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 175°, what is the
measure of ZQRS?
mZQRS = [?]
<QRS=5°
Answer:
<ABC+<QRS=180
175+<QRS=180
<QRS=180-175=5
Help mee it’s due tonight!!
Answer:
It's [tex]\frac{1}{288}[/tex]
Step-by-step explanation:
Replace x and y in the equation, it will look like this:
[tex]2(\frac{-1}{3})^2(\frac{1}{4})^3\\[/tex]
[tex]2(\frac{1}{9})(\frac{1}{64})[/tex]
[tex]2(\frac{1}{576})[/tex]
[tex]\frac{2}{576}=\frac{1}{288}[/tex]
Janey paints a block of wood with gold glitter for an art project. The block measures 8 inches by 10 inches by 20 inches. After she's done, she decides to make two blocks by cutting through the block on the red line. She still wants each block to be covered with gold glitter
1. what is the shape of each cut surface? What are its dimensions? and what is the total area of paint she still needs to paint?
2. What is the area of each cut surface?
Answer:
1. Square, 10in x 8in, 160in^2
2. Each surface has an area of 80in^2
Step-by-step explanation:
1. Rectangle is the shape of each cut surface which is 10in by 8 in. Since the block was already painted with glitter, she needs to paint both sides of the cut surface only, 2*8in * 10in = 160in^2.
2. Each cut will have a surface area of 10in * 8in = 80in^2
Please leave a like if this is the answer you were looking for
Trigonometry question
Answer:
The answer would be 6.8 I believe.
Step-by-step explanation:
Step 1: You would have to find which side is the opposite , hypotenuse and adjacent to the degree. 8 is adjacent and x is the hypotenuse. Then you can use a strategy I like which is called SOH CAH TOA to find if you need to use sin, cosine, or tangent. It tells you in the acronym too how to set up the equation.
Step 2: In this case we need cosine since it is adjacent over hypotenuse (C in the acronym is for cosine A is for adjacent and H is for hypotenuse) so the equation would be Cos32= 8/x
Step 3: Then solve the equation, so you would do
8cos32=x
Put that into the calculator (I'm using a TI-84) and make sure it is in degree mode and you would get 6.78 but round that up to 6.8.
I hope this helps and that I did it right!!
Please help me!
What is the volume of the prism below?
2 3/4 units3
3 1/2 units3
5 units3
8 units3
Answer:
Step-by-step explanation:
Answer:
3 1/2 units cubed.
1 3/4 · 1 · 2 = 3 1/2
Pleaseee helppp which one is and whyy!!!!
Answer:
c = 17(83)-17(16)=1139
Step-by-step explanation:
Choose Yes or No to tell if the number 3.23 will make each equation true.
4.65 + □ = 7.88
Choose...
□ + 6.42 = 9.45
Choose...
2.85 + □ = 6.08
Choose...
□ + 8.49 = 10.72
Choose...
Answer:
yes
no
yes
no
Step-by-step explanation:
i think its right
Answer:
4.65 + □ = 7.88
Choose... Yes!
□ + 6.42 = 9.45
Choose...No
2.85 + □ = 6.08
Choose...Yes!
□ + 8.49 = 10.72
Choose...No
Step-by-step explanation:
Sorry if I'm wrong.
Katy is going to select a card from the group of cards shown. What is the probability that Katy will select a card labeled 5?
Answer:
1/2
Step-by-step explanation:
well, there are 10 cards altogether
then, count how many 5's there are.
there are 5.
therefore, 5/10 or 1/2
Which statement is false?
O A A square is a rectangle.
OB. A square is a parallelogram.
OC. A square has exactly 4 acute angles.
0
D. A square has exactly 4 congruent sides.
How do I simplify 55/35
Answer:
1 4/7
Find a number that will divide evenly into both the top number and the bottom number. (You can do any math operation to either number as long as you do the same to the bottom number.)
Keep doing that until you can't find a number that works.
In this case try 5.
55 ÷ 5 = 11 and 35 ÷ 5 = 7
so: 55/35 = 11/7
since the top number is greater than the bottom, reduce 11/7 to 1 4/7
Answer:
[tex] \frac{55}{35} \\ \frac{11}{7} \\ 1.57[/tex]
Which equation has the same solution as
1/2 (4x-1/3) +2/3x=3 (x-1/6)
Answer:
You would have to add the options.
Step-by-step explanation:
Danielle has two interest rates to choose from to invest her inheritance of $5,000.
BANK A: 2.75% compounded monthly; BANK B: 3.25 compounded semi-annually
Complete Danielle's work to find the better return after 10 years.
Answer:
Bank B had the better return after 10 years.
Step-by-step explanation:
no links please or you will be reported .
Answer:
Step-by-step explanation:
2 should be 50 degrees as well. 1 should be 130 (to get the needed 180) 3 should be 130 degrees. Hopefully this is correct
What is the answer to this question
Answer:
Excuse me, I believe you forgot to put your questio! To get the desired answer, I highly recommend to oost another question!
Have a great day!
Yours Truely, TheAnimeCatUwU
Step-by-step explanation:
7x>56 this is for math
Answer:
x>8 should be correct!
Step-by-step explanation:
56/7 = 8
[tex] log_{2}(x) = - 4[/tex]
WILL GIVE BRANIEST FOR LEGIT ANSWERS WITH WORK
Answer: x = 1/16
Step-by-step explanation:
Since the inverse of a Logarithm is an exponential function, we know that the final solution has to involve an exponential function somewhere in it.
1. log B(2) {x} = -4 || given
2. x = 2 ^ -4 || Logarithm rule that allows you to move the base of the logarithm to the base of the exponent on the other side. For example, if you had log B(5) {x} = 3, the base of 5 would move over to the other side and it would be raised to 3; x = 5^3.
3. x = (1) / (2^4) || Simplify. Use the negative exponent rule. This rule always leaves a numerator of 1, and a denominator of your exponent. In this case, it will be 2 ^ -4, so you will do 2^4 which is 16 and you will put that over 1. Resulting in your final answer of x = 1/16
If we used the quadratic expression below to complete a diamond, which pair of values would go on the SIDES of the diamond?
x^2 - 4x + 5
a. 5 and -1
b. -5 and 1
c. -4 and 1
d. 4 and -1
e. no solution
9514 1404 393
Answer:
e. no solution
Step-by-step explanation:
You would be looking for factors of +5 that have a sum of -4. There are none (no solution). None of the values offered in the answer choices have a product of +5.
__
The discriminant of the quadratic is (-4)² -4(1)(5) = -4, so the roots are complex.
Find the missing fraction. 1/2 + blank = 7/8
Answer:
j
Step-by-step explanation:
A rectangle and a square have the same area. a. The width of the rectangle is w inches. The length of the rectangle is 15 inches less than 4 times the width of the rectangle. Write a polynomial to represent the area of the rectangle. b. The side of the square is w inches. Write a polynomial to represent the area of the square. c. Write an equation such that the area of the rectangle is equal to the area of the square. d. Solve the equation in part (c) to find the side length of the square. e. What are the length and the width of the rectangle?
9514 1404 393
Answer:
a) w(4w-15)
b) w²
c) w(4w -15) = w²
d) w = 5
e) 5 by 5
Step-by-step explanation:
a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.
A = w(4w -15)
__
b) If w is the side length, the area of the square is (also) the product of length and width:
A = w²
__
c) Equating the expressions for area, we have ...
w(4w -15) = w²
__
d) we can subtract the right side to get ...
4w² -15w -w² = 0
3w(w -5) = 0
This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.
The side length of the square is 5 units.
__
e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.
The rectangle and square have the same width and the same area, so the rectangle must be a square.
Stephanie earns $750 a month. she gives
30% of the money to charity. How much money
does Stephanie give charity?
Answer:
she gives 225
Step-by-step explanation:
750×30% equals to 225
Answer:
Stephanie gives $225 to charity a month
Step-by-step explanation:
$750 / 100 = 7.5
7.5 x 30 = 225
7.5 x 70 = 525
700 - 525 = 225
[tex]2x^2+40=0[/tex]
Answer:
x^2 = -20
Step-by-step explanation:
Find the Z-scores that separate the middle 61% of the distribution from the area in the tails of the standard normal distribution
Answer:
Z-scores between -0.86 and 0.86 separate the middle 61% of the distribution from the area in the tails of the standard normal distribution
Step-by-step explanation:
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.
Middle 61%
Between the 50 - (61/2) = 19.5th percentile and the 50 + (61/2) = 80.5th percentile.
19.5th percentile.
Z with a pvalue of 0.195. So Z = -0.86
80.5th percentile.
Z with a pvalue of 0.805. So Z = 0.86.
Z-scores between -0.86 and 0.86 separate the middle 61% of the distribution from the area in the tails of the standard normal distribution
According to this diagram, what is tan 62°?
62°
17
8
280
90°
15
O A.
8
17
17
B.
8
O C.
15
17
O D.
17
15
O E.
8
15
Where is the diagram???
Your new car went 258 miles on 7.3 gallons of gasoline. How many miles per gallon is this?
