1. Verizon Wireless would like to estimate the proportion of households that use cell phones for their phone service without a land line. A random sample of 150 households was selected and 48 relied strictly on cell phones for their service. Based on the sample, construct a 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone service.
Answer:
The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).
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].
A random sample of 150 households was selected and 48 relied strictly on cell phones for their service.
This means that [tex]n = 150, \pi = \frac{48}{150} = 0.32[/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 lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 - 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.2453[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 + 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.3947[/tex]
The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).
PLZZZ HELP!!! ASAP
Will mark brainiest :)))
Answer:
Step-by-step explanation: i wont tell you the answer but ill thell you how to do it,soo the strat is to count where the line is as a different part then u just add em
this is only the explanation how to do it with you want the answer ask in the comment section
Step-by-step explanation:
Answer:
4. 1230
Step-by-step explanation:
A rectangle has parallel sides, so we know two sides are 30. 30+30=60. We subtract 142-60=82. Then we divide by two: 82/2=41. Then you know that both sides are 41 and 30. Multiply, and you get 1230.
A triangle has side lengths of 6,9, and 17. Is this possible or impossible
Answer:
impossible
Step-by-step explanation:
the formula for triangle sides is a^2 + b^2 = c^2
and these numbers dont equal that
I need help with this. So, please help!! You shall receive 40 points.
Answer:
p=6/5
Step-by-step explanation:
p=6/5 or 1.2 or (1 and 1/5)
Steps
Switch sides of equation
Divide both sides by 5
Simplify
Add 2 to both sides
Need the answer to x and y !
x = 2 y = 7
Step-by-step explanation:
the explan at the pic
Factor the expression
10x + 25
A. 2(5x + 10)
B. 5(2x + 5)
C. 10(x + 5)
D. 5(2x + 25)
Step-by-step explanation:
The correct answer is ''B. 5(2x + 5)''
Naming with the vertex only won't work when there are multiple angles with the same vertex. True or False?
I NEED HELP ASAP PLEASE
What is the value of z? Refer to the attached image. Show work pls :)
PLEASE HELP ASAP PLZZ I WILL GIVE BRAINLIEST In order to increase the circumference of a circle from 12pi cm to 18pi cm, by how much must the diameter increase?
Answer:
This is because the diameter of the smaller circle is 12pi/pi which is 12, and the diameter of the bigger one is 18pi/pi which is 18. 12 + 6 = 18, so the diameter increases by 6.
Step-by-step explanation:
brinliest pls
Answer:
6
Step-by-step explanation:
Cell phone Plan A costs$70 per month and comes with a free$500 phone. Cell phone Plan Bcosts$50 per month but does not come with a phone. If you buy the$500 phone and choose Plan B, how many months is ituntil your cost is the same as Plan A's?
Answer:
7.8 months but you can round it to 8 months
Step-by-step explanation:
I need help in this question. I am not understanding what it is telling me so HELP
Answer: You solve it its easy subtraction :)
Step-by-step explanation:
$14,000 - $5,358 - $2,834 - $4,132 = answer
lol helpppppppppp ♀️
Answer:
The answer is 52.6038
Step-by-step explanation:
Answer:
Step-by-step explanation:
52.6038
What is the answer for this is it a B C or D
Answer:
AB and CD are parallel lines.
hence answer is D
Good day mate
Find the area of the triangle. around intermediate values to the nearest tenth. Use rounded values to calculate the next value. Found your final answer to the nearest tenth
The area of the triangle is 97.07 units².
Given is a triangle we need to find the area,
So, let the triangle be ABC and the altitude be AD.
Using the trigonometric ratios,
Sin 52° = AB / AD
Sin 52° = 9 / AD
AD = 9 / Sin 52°
AD = 11.42
Now,
Tan 26° = DC / AD
Tan 26° = DC / 11.42
DC = 5.56
Also,
Cos 26° = AD / AC
Cos 26° = 11.42 / AC
AC = 12.7
BC = 11.42 + 5.56
BC ≈ 17
Now, the sides are BC = 17, AC = 12.7 and AB = 9,
The area of the triangle = 1/2 x BC x AD = 1/2 x 17 x 11.42
= 5.71 x 17
= 97.07
Hence the area of the triangle is 97.07 units².
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I need help understanding this, I don't mind if you just give me the answer but just tell me, please.
Answer:
73.50
Step-by-step explanation:
Answer:
67.5
Step-by-step explanation:
his earnings increase in a linear way so we can express it as linear equation;
y = ax+ b ,
a is the slope in this case it is 7.5$ for every hour
b is the initial value, in this case 0
y = 7.5x
we will write 9 insted of x to find the amount of money when working for 9 hours;
y = 7.5 x 9 = 67.5
A graph of f(x)=10x^2-11x-6 is shown on the coordinate grid.
What are the zeros of f(x)?
-2/5 and 3/2
-6
-9 and 4
11/20 and -9
Answer:
-2/5 and 3/2
Step-by-step explanation:
f(x)=10x²-11x-6
0=10x²-11x-6
(5x+2)(2x-3)=0
5x+2=0, 2x-3=0
5x=-2, 2x=3
x=-2/5, x=3/2
32 ÷ 24 plese help me
Answer: 1.333
Step-by-step explanation:
Answer:
1.33
Step-by-step explanation:
nothing much to explain
PLEASE!!
What is the COMBINED surface area of the prisms shown below?
11) A fitness center charges $5per visit, plus an additional monthly fee of $15.
If Rick visits the gym 15 times in a month, how much would it cost him?
If you can do both that would be great
Answer:
$90
Step-by-step explanation:
15 × 5 = 75
75 + 15 = 90
$90
Answer:
It would cost Rick $90, if he visted the Gym 15 times in a month.
Step-by-step explanation:
15 x 5 =75
75 + 15 =90
ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 140°, what is the
measure of ZQRS?
MZQRS = [?]
Answer:
m<QRS = 40
Step-by-step explanation:
180 - 140 = 40
The measure of angle m∠QRS which is supplementary to m∠ABC is determined as 40⁰.
What is a supplementary angle?A supplementary angle is a pair of angles that add up to 180 degrees.
That is to say, if we have two angles and their measures sum up to 180 degrees, then they are supplementary angles. Each angle in a supplementary pair is called the "supplement" of the other angle.
The measure of angle QRS is calculated by applying the following formula as follows;
m∠QRS + m∠ABC = 180 (supplementary angles add up to 180)
m∠QRS + 140 = 180
m∠QRS = 180 - 140
m∠QRS = 40⁰
Thus, the measure of angle m∠QRS which is supplementary to m∠ABC is determined as 40⁰.
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Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000. What was the return on his $675,000 investment? (Negative amount should be indicated by a minus sign. Enter your answer as a percent rounded to 2 decimal places.)
The return on his $675,000 investment is 3.57%.
Given that, Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000.
We need to find the what was the return on his $675,000 investment.
What is the return on investment?Return on investment or return on costs is a ratio between net income and investment.
Now, return=700,000-675,000=$25000
Return in percentage=25000/700000×100=3.571%
=3.57%
Therefore, the return on his $675,000 investment is 3.57%.
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Leo made the following container to store his camping gear. This container is the shape of a rectangular prism. It has material covering the outside of all six sides.
Answer:
I know this is probably late but the answer is 52 ft
Step-by-step explanation:
I did the Unit Test
You want to buy a pet rabbit that costs $49. You already have $18 and you plan to save $9 per week. If w represents the number of weeks until you have enough money to buy the rabbit, what equation could you use to find the value of w? Use pencil and paper. Explain how you could set up an equation to find the amount of money you should save each week if you want to buy the rabbit in six weeks.
18 + 9x = 49
with the use of an equation you can easily find out if 6 weeks of saving up is enough to get the rabbit.
18 + 9(6) [tex]\neq[/tex] 49
9 x 6 = 54
54 + 18 = 72
you could have enough money in 4 weeks
The ratio of girls to boys in a boarding school is 2:7,if there are 1251 student in the school, how many of the student are girls
278 students are girls in this case.
The work of a student to solve the equation 3(3y − 8) = 10 + 3y is shown below:
Step 1: 3(3y − 8) = 10 + 3y
Step 2: 6y − 5 = 10 + 3y
Step 3: 3y − 5 = 10
Step 4: 3y = 15
Step 5: y = 5
In which step did the student first make an error and what is the correct step?
Step 2: 9y − 24 = 10 + 3y
Step 2: 6y + 11 = 10 + 4y
Step 3: 6y − 8 = 3(6 + y)
Step 3: 3(3y − 8) = 7 + y
the length of a rectangle is 3 ft less than twice the width and the area of the rectangle is 65 ft squared find the dimensions.
The dimension of the rectangle is 10 by 6.5
How to determine the dimensions?The given parameters are:
Length, (L) = 2W - 3
Area = 65
The area of a rectangle is:
A = LW
So, we have:
LW = 65
Substitute L =2W - 3
(2W - 3)W = 65
Expand
2W^2 - 3W = 65
Rewrite as:
2W^2 - 3W - 65 = 0
Using a graphing calculator, we have:
W = 6.5
Substitute W = 6.5 in L =2W - 3
L =2 * 6.5 - 3
Evaluate
L =10
Hence, the dimension of the rectangle is 10 by 6.5
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PLEASE HELP QUICK I NEED IT TO PASS. PLEASE SHOW STEPS, AND DON'T SPAM LINK PLEASE HELP. I NEED SOME HELP
Answer:
c=a2+b2=62+42≈7.2111
don't know if this is what
you are looking for but...
Solve for all values of x:
(x-3)2 = 16
• A X=-7,4
B. X= 4,1
I C. X= 7,11
D. X= 7,-1
Answer:
X= 6/D
Step-by-step explanation:
i did the math
A set of 10 cards consists of five red cards and five black cards. The cards are shuffled thoroughly, and I choose one at random, observe its color, and replace it in the set. The cards are thoroughly reshuffled, and I again choose a card at random, observe its color, and replace it in the set. This is done a total of four times. Let X be the number of red cards observed in these four trials. The mean of X is:
Answer:
The mean of X is 2
Step-by-step explanation:
Given the data in the question;
set of 10 cards consist of 5 red card and 5 blacks
cards are chosen, replaced and shuffled four times;
number of independent trials n = 4
now, since its is replaced, the probability of getting a red card in each trial will be;
p = 5/10 = 0.5
let X rep the number of red cards observed in the four trials.
the random variable follows binomial distribution where
n = 4 and p = 0.5
so
E(X) = ∑xP( X = x )
E(X) = np
we substitute
E(X) = 4 × 0.5
E(X) = 2
Therefore, The mean of X is 2