Claim: Fewer than 92% of adults have a cell phone. In a reputable poll of 1207 adults, 85% said that they have a cell phone. Find the value of the test statistic,
Round to two decimal places as needed

Answers

Answer 1

Answer:

- 6.547

Step-by-step explanation:

Given that:

Sample size (n) = 1207

p = 0.85

p0 = 0.92

The test statistic :

Z = (p - p0) / √(p0(1 - p0) / n)

Z = (0.85 - 0.92) / √(0.92(1 - 0.85) / 1207)

Z = - 0.07 / √(0.92(0.15) / 1207)

Z = - 0.07 / √0.0001143

Z = - 0.07 / 0.0106926

Z = - 6.5465446

Z = - 6.547


Related Questions

which branch of maths includes the most of other branches symbols/functions ect.​

Answers

Answer:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.

Step-by-step explanation:

Find the slope (0,0) and (4.16)
Find the slope (0,0) and (4,8)​

Answers

Answer:

first one is 4

second is   2

Step-by-step explanation:

let me know if you need to  show work

Answer:

first one is 4, 2nd one is 2

Step-by-step explanation:

The circumference of a circle can be found using the formula C = 2πr.

Which is an equivalent equation solved for r?

Answers

Answer:r=C/2π

Step-by-step explanation:

A sock drawer has 17 folded pairs of socks, with 5 pairs of white, 8 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

Answers

Answer:

26.4%

Step-by-step explanation:

PLS GIVE BRAINLIEST

The probability of selecting a black pair of socks first, then a blue or white pair of socks is 27/136.

The probability of selecting a black pair of socks first is:

probability = (number of black pairs)/(total number of pairs)

= 8/17

Once a black pair of socks has been selected, there are 16 pairs of socks left in the drawer. Of these 16 pairs, 9 are either blue or white.

The probability of selecting a blue or white pair of socks second is:

probability = (number of blue and white pairs)/(number of remaining pairs)

= 9/16

Therefore, the overall probability of selecting a black pair of socks first, then a blue or white pair of socks is:

probability = (8/17)*(9/16)

= 27/136

To learn more about probability here:

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Help ASAP pls What is the y intercept of the linear equation shown on the graph

A. (0,-70)
B. (0,-50)
C. (0,1/2)
D. (0,100)

Answers

Answer:

(0, -50)

Step-by-step explanation:

pick any 2 points such as (100,0)  and (120,10)

to get from point (100.0) to point (120,10) you had to rise 10 and run 20

so the slope m =rise 10/run20= 1/2

the equation of the line is (y-y1)=m(x-x1)

(y-0)=(1/2)(x-100) for the slope m=1/2 and point on the line (100,0)

y=( x/2)-50 if you distribute

compare this with the equation

y=mx+b wher m=slope and bb is y-intercept

so the y-intercept is -50

Answer:

b

Step-by-step explanation:

trust

What is 14.724 rounded by the nearest hundredth

Answers

Answer:

14.72

Step-by-step explanation:

The answer is 14.72 hope this helped!

6*9+(6+9)=?

Plz I really need this in the next minute.

Answers

6*9+(6+9)= 6*9+15= 54+15=69 you have to use Pemdas

(Giving brainliest!!!)

How do you solve 7,124 ÷ 26 using standard algorithm?

Answers

Answer:

274

Step-by-step explanation:

The standard algorithm of multiplication is based on the principle that you already know: multiplying in parts (partial products): simply multiply ones and tens separately, and add.

However, in the standard way the adding is done at the same time as multiplying. The calculation looks more compact and takes less space than the “easy way to multiply” you have learned.(i really think this is correct but I am so so sooo sorry if it's not!!!!)

2(3x-(2x-3(3x+1)+5x)

Answers

Answer: Is the answer is 10x+6? You didn’t even show what can I do for your math expression, I thought it was simplified expression.

Step-by-step explanation:

If the terminal side of angle A passes through (-5,2) find the value of sec A​

Answers

Answer:

The value of sec A = - √29/5

Step-by-step explanation:

As the terminal side of angle 'A' passes through (-5,2).

so the angle is in the 2nd quadrant.

We can find the length of the hypotenuse using the Pythagorean Theorem

[tex]c^2\:\:=\:\left(-5\right)^2\:+\:2^2[/tex]

[tex]c^2=5^2+2^2[/tex]

[tex]c^2=25+4[/tex]

[tex]c^2=29[/tex]

[tex]c=\sqrt{29}[/tex]

As we know that

cos A = adjacent/hypotenuse

sec A = 1/cosA

         = hypotenuse/adjacent

         = √29/-5

         = - √29/5

Therefore, the value of sec A = - √29/5

Find the area of the Compound shape

The answer is 45 m^2

I just need the steps....

Answers

Answer:

45 cm^2

Step-by-step explanation:

Dividing the shape into the two separate components of a square and a triangle makes it easier.

The square area is found by multiplying the side by the side, 6cm*6cm which gives us 36cm^2.

Then the triangle the height is 3cm and the base is 6cm. Using the formula 1/2*base*height.

Which would be 1/2*6*3=9cm^2.

Adding the two, 9+36= 45cm^2.

find the slope of the line on the graph. write your answer as a fraction or a whole number, not a mixed number or decimal.​

Answers

the slope of the line on the graph is 1
Answer: 1
Step by step

HELP ME PLEASE!!

Which equation describes this line!!

Answers

Answer:

Option A: y-9=2(x-1)

Step-by-step explanation:

Notice that the answer choices are in point-slope form which is y-y1=m(x-x1)

The slope, m, is (9-3)/(1-(-2))=6/(1+2)=6/3=2, but that's given anyway.

Option A would be right because y1=9 and x1=1 which is where the line crosses through (1,9)

B is not right because that would suggest the line crosses (2,3) as y1=3 and x1=2, but it actually crosses (-2,3) so it should've been y-3=2(x+2)

C and D are wrong because the points aren't crossed through

if 8 sugar cost 260 how much sugar can be brought for 877.500​

Answers

Answer:  27 kg of sugar can be bought for Rs. 877.50.

Step-by-step explanation:

Answer:

you could buy 28518.75 sugar for 877.500

Step-by-step explanation:

260 / 8 = 32.5

this gives you how much it cost per 1 (units)

32.5 * 877.50 = 28518.75

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Answers

Answer: 22 x 10 = 220

If the diameter of the circle is 24 cm, find its area correct to one decimal place.

A= ______ cm2

Answers

Answer:

A=pi times radius squared

24/2= 12 is the radius (since it's half of diameter)

A=pi times 12 squared

12 squared is 12 times 12 which is 144

A=pi times 144

A=452.389342

Rounded to 452.4

correctly factor the expression 15a-6b+36 using the greatest common factors

Answers

Answer:

3 ( 5a - 2b + 12)

Step-by-step explanation:

15 = 3 * 5

6 = 2 * 3

36 = 2 * 2 * 3 * 3

GCF = 3

15a - 6b + 36 = (3* 5 * a) - (3 *2 * b) + (3 * 12)

                     = 3 ( 5a - 2b + 12)

Answer:

3 ( 5a - 2b + 12)

Step-by-step explanation:

15 = 3 * 5

6 = 2 * 3

36 = 2 * 2 * 3 * 3

GCF = 3

15a - 6b + 36 = (3* 5 * a) - (3 *2 * b) + (3 * 12)

                    = 3 ( 5a - 2b + 12)

Please help or at least try and also I’m so sorry if u can’t read it well

Answers

Answer:
Proportional: A, E
Non-Proportional: B, C, D, F
Sorry if these aren’t right but I’m pretty sure they are

I don’t know how to set it up nor do it please help me

Answers

Answer:

The value of x is 3

Step-by-step explanation:

∵ Quadrilateral ABCD is congruent to quadrilateral JKLM

∴ AB = JK and BC = KL

∴ CD = LM and AD = JM

∵ BC = 8x + 7

∵ KL = 31

∵ BC = KL

→ Equate their right sides

8x + 7 = 31

→ Subtract 7 from both sides

∵ 8x + 7 - 7 = 31 - 7

∴ 8x = 24

→ Divide both sides by 8 to find x

∴ [tex]\frac{8x}{8}[/tex] = [tex]\frac{24}{8}[/tex]

x = 3

The value of x is 3

Solve for X.........

Answers

Answer:
x=-5

Explanation:
We can set our equation as this and solve:
(6)+(10)+(13+2x)=x+24
29+2x=x+24
Subtract both sides by 29
29+2x-29=x+24-29
2x=x-5
Subtract both sides by x
2x-x=x-5-x
x=-5

I hope this helps!

the set of all numbers less than or equal to -6 or greater than it equal to -2

Answers

Answer:

Step-by-step explanation:

-6 ≥ x

-2 ≤ x

I don't think you can combine this into one statement.

Your line looks something like

<---------------O                 O------------------------->

                  -6                 -2

Shade in the 2 Os. The shaded in Os  are included in the way the line looks.          

3/4 divided by 4/3 whats the answer to this problem

Answers

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[tex] \frac{3}{4} \div \frac{4}{3} = \frac{3}{4} \times \frac{3}{4} = ({ \frac{3}{4} })^{2} = \frac{9}{16} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Is this relation a function?
(2, -3), (-4, 2), (6,2), (-5, -3), (-3,0)

Answers

Answer:

no it is not because two different input values have the same output

Step-by-step explanation:

Answer:

Yes it is a function... Because we have output for each input

82 is what percent of 65.6?

Answers

Answer:

125

Step-by-step explanation:

82 percent of 65.6 is 125

Answer:

I hope I got your question correctly.

82% of 65.6 is 54.

Step-by-step explanation:

Consider this equation:

P%=[tex]\frac{x}{y}[/tex]

The value of P% here is 82, which is 0.82 in decimal form.

x is unknown

y is 65.6

Simply cross-multiply 65.6 and 0.82.

The result is 53.8 or 54.

Find the slope of the lines that passes through the points (-8,-11) and (17,4).

Answers

Answer:

[tex]\displaystyle m=\frac{3}{5}[/tex]

Step-by-step explanation:

The slope of a line.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-8,-11) and (17,4).

[tex]\displaystyle m=\frac{4+11}{17+8}[/tex]

[tex]\displaystyle m=\frac{15}{25}[/tex]

[tex]\mathbf{\displaystyle m=\frac{3}{5}}[/tex]

Which of the following shows the correct sums that would be found when clustering is used to find the answer to the problem 34 x 12?
340 + 68 = 408
340 + 34 = 374
340 + 68 = 398
300 + 8 = 308

Answers

It would be the first one because 34*12 is 408 and that is the only answer with that sum

The first option is correct.

The calculation is as follows:

if we multiply the 34 and 12 so it comes 408

And according to first option, it we add 340 and 68 so it comes 408.

Learn more: brainly.com/question/16911495

What will happen to the graph of the line y = -54x + 3 if you change -54 to 54?

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:  

1

y-intercept:  ( 0 , 0 ) x y 0 0 1 1

If y= 1-x+x²/1+x-x² than how about y'=?
This question is about derived function.

Answers

Answer:

as

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]

so

[tex]y'=0[/tex]

Step-by-step explanation:

Given the function

[tex]y=\:1-x+\frac{x^2}{1}+x-x^2[/tex]

Taking derivative

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)[/tex]

[tex]\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'[/tex]

[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]

as

[tex]\frac{d}{dx}\left(1\right)=0[/tex]         ∵ [tex]\mathrm{Derivative\:of\:a\:constant}:\quad \frac{d}{dx}\left(a\right)=0[/tex]

[tex]\frac{d}{dx}\left(x\right)=1[/tex]          ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]

[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex]      ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]

[tex]\frac{d}{dx}\left(x\right)=1[/tex]          ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]

[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex]      ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]

substituting all the values in the expression      

[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]

[tex]=0-1+2x+1-2x[/tex]

[tex]=0[/tex]

Hence,

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]

Therefore,

[tex]y'=0[/tex]

Right inequalities to represent the situations below to get the 10% discount a shopper must spend at least $300 USD to represent the spending in dollars of a shopper who gets the discount

Answers

Answer:

D≥300

Step-by-step explanation:

Ramon would like to plant a garden where each row has the same combination of plants. If
Ramon has 27 tomato plants, 15 cucumber plants and 6 basil plants, what is the greatest number of rows the garden can have if Ramon uses all of the plants?

Answers

Answer:

48

Step-by-step explanation:

The greatest number of rows that can be formed in the garden will be 3.

What is the highest common factor?

The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.

In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.

As per the given,

Ramon has 27 tomato plants, 15 cucumber plants, and 6 basil plants.

Factors of 27 = 1, 3, 9, and 27.

Factors of 15 =  1, 3, 5 and 15

Factors of 6 = 1, 2, 3 and 6

The GCF of 27,15 and 6 is 3.

Thus, only three raws are possible.

Hence "The greatest number of rows that can be formed in the garden will be 3".

To learn more about the highest common factor,

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