A politician claims that he is supported by a clear majority of voters. In a recent survey, 38 out of 60 randomly selected voters indicated that they would vote for the politician. (You may find it useful to reference the z table.)

a. Select the null and the alternative hypotheses.

multiple choice 1
H0: p = 0.50; HA: p ≠ 0.50
H0: p ≤ 0.50; HA: p > 0.50
H0: p ≥ 0.50; HA: p < 0.50


b. Calculate the sample proportion. (Round your answer to 2 decimal places.)



c. Calculate the value of test statistic. (Round final answer to 2 decimal places.)



d. Find the p-value.

multiple choice 2
0.025 p-value < 0.05
0.05 p-value < 0.10
p-value 0.10
p-value < 0.01
0.01 p-value < 0.025


e. At the 5% level of significance, what is the conclusion?

multiple choice 3
Do not reject H0; the politician’s claim is not supported by the data.
Do not reject H0; the politician’s claim is supported by the data.
Reject H0; the politician’s claim is not supported by the data.
Reject H0; the politician’s claim is supported by the data.

The simplified form of the numerical expression (4√15) / √5 will be 4√3.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The ratio is given below.

⇒ (4√15) / √5

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.

⇒ (4√15) / √5

⇒ [4 × √(3 x 5)] / √5

⇒ (4 × √3 × √5) / √5

⇒ 4 × √3

⇒ 4√3

The simplified form of the numerical expression (4√15) / √5 will be 4√3.

More about the value of the expression link is given below.

brainly.com/question/23671908

#SPJ5

[tex]\left \{ {{7x+6\:\:\:\:\:\:x<0} \atop {7x+12\:\:\:\:x\geq 0}} \right.[/tex]

[tex]f(-1)[/tex]

Solve

[tex]-7\cdot \:1+6x<0[/tex]                          Swap the negative sign

[tex]-7+6x<0[/tex]                               Multiply the numbers

[tex]-7+6x+7<0+7[/tex]                  Add 7 to both sides

[tex]6x<7[/tex]                                       Simplify

[tex]\frac{6x}{6}<\frac{7}{6}[/tex]                                       Divide both sides by 6

[tex]x<\frac{7}{6}[/tex]                                        Simplify

[tex]-7\cdot \:1+12x<0[/tex]                     Swap the negative sign

[tex]-7+12x<0[/tex]                          Multiply the numbers

[tex]-7+12x+7<0+7[/tex]              Add 7 to both sides

[tex]12x<7[/tex]                                   Simplify

[tex]\frac{12x}{12}<\frac{7}{12}[/tex]                                  Divide both sides by 12

[tex]x<\frac{7}{6}[/tex]                                      Simplify

Answer:

150 pens given away

Step-by-step explanation:

10% of 500 is 50

50x3=150

500-150=350

Step-by-step explanation:

x = k/m

hope this helps. good luck!

Factorization is the process of breaking an integer down into its components or divisors, and further calculation can be defined as follows:

Given:

[tex]20x^{2} +124x+24[/tex]

To find:

solve the given problem

Solution:

[tex]\to \bold{20x^{2} +124x+24}\\\\\to \bold{4(5x^{2} +31x+6)}\\\\\to \bold{4(5x^{2} +31x+6)}\ \ \ \ \ \ \ \ \ \ \ 5\times 6= 30 \ \ and\ \ 30 \times 1= 30\\\\\to \bold{4(5x^{2} +(30+1)x+6)}\\\\\to \bold{4(5x^{2} +30x+1x+6)}\\\\\to \bold{4(5x(x +6)+1(x+6)}\\\\\to \bold{4((x +6) (5x+1)}\\\\[/tex]

Therefore, the final answer is "[tex]\bold{4((x+6)(5x+1))}[/tex]".

Learn more:

brainly.com/question/10755001

Answer:

It means like swicthing up thing 09, 18, 04

Step-by-step explanation:

Answer:

Pick option a and then write this in the box --> x^3(x - 1) (x - 83)

Step-by-step explanation:

x^5 − 84x^4 + 83x^3

= x^3(x - 1) (x - 83)

Answer:

x^3(x - 1) (x - 83)

Step-by-step explanation:

option a

9514 1404 393

Answer:

  (f -h)(2) = 3

Step-by-step explanation:

(f -h)(2) = f(2) -h(2) = (2^2 -4) -(2 -5) = 0 -(-3)

(f -h)(2) = 3

Answer:

x=1 and y=3

Step-by-step explanation:

-2x1=-2

-2+3=1

So this answer makes sense

Answer:

y = 2x + 1

Step-by-step explanation:

Given: -2x+y=1

Add 2x to both sides: y=1+2x

Reorder: y = 2x + 1

I am not sure exactly what you need for this point, but here is the equation in y=mx+b form aka slope-intercept form

m = slope = 2

b = y-intercept = 1

Hope this helps, have a nice day :D

Answer:

uhhhh can you simplify better and show the actual graph

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

thomas age = x

2x + x = 75

3x = 75

x = 25

Answer: Dan is 50, Thomas is 25

Step-by-step explanation: 75 divided by 3 = 25. 75 - 25 is 50

Answer: x=23

Step-by-step explanation:

180=(3x+18)+93

x=23

Answer:

x = 23°

Step-by-step explanation:

(180° - 93° - 18°) ÷ 3 = (87° - 18°) ÷ 3

= 69° ÷ 3

= 23°

your welcome :)

Answer:

First number is 63

Second is 5

Last is 6

Step-by-step explanation:

First mutiply both sides by 9:

9(5/9x + 7 = 2/3)

Then simplify:

5x + 63 = 6

For your layout it is:

63 + 5x = 6

Answer:

3,750

Step-by-step explanation:

because you need to do 7 * 75 * 50 and you will get the answer but it will be 3007 715 so that would be 7 3750h fences

Answer:

The second one (Top right)

Step-by-step explanation:

(3/9) × (-2/3

=> {3×(-2)}/(9×3)

=> (-6/27). Ans.

Or

(3/9) × (-2/3)

=> -2/9 Ans.

Step-by-step explanation:

[tex] \tt{} - 4 \frac{2}{3} \times (2 \frac{1}{4} ) + 3 \frac{5}{6} [/tex]

[tex]\tt{} - \frac{14}{3} \times \frac{9}{4} + \frac{23}{6} [/tex]

[tex]\tt{} - 7 \times \frac{3}{2} + \frac{23}6[/tex]

[tex]\tt{} - \frac{21}{2} + \frac{23}{6} [/tex]

[tex]\tt{} - \frac{20}{3} [/tex]

[tex]\tt{} - 6 \frac{2}{3} [/tex]

Answer:

x = 12°

Step-by-step explanation:

To find the value of x, you have to subtract 65 from 180.

This is because angles on a straight line add upto 180 degrees, and 65 is the supplementary angle of 11x -17.

Hence,

11x - 17 + 65 = 180

11x + 48 = 180

11x = 132

x = 12

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

2.211 gallon of rainwater

Step-by-step explanation:

1.46 gallon + 0.751 gallon = 2.211 gallon

Answer:

[tex]8.9444 = \sqrt{80} [/tex]

Step-by-step explanation:

the distance is equal to the magnitude or modulus of the vector between the coordinates,

to find the distance, find the vector then the magnitude,ie

vector=

[tex] \frac{4}{2} - \frac{ - 4}{ - 2 } = \frac{8}{4} [/tex]

distance=

[tex] | \sqrt{{8}^{2} + {4}^{2} } | = | \sqrt{64 + 16 } | \\ | \sqrt{80 } | = \sqrt{80} = 8.944[/tex]

kindly give me a brainliest

Answer:

24 ÷ 0.012 =2000

Step-by-step explanation:

24 ÷ 0.012

= 2000

Answer:

B

Step-by-step explanation:

(+)x(-)=(-)

(-)x(-)=(+)

Answer:

I suppose you want the answers for x and y, so here they are. x=-7/3, while y=1.

Step-by-step explanation: I just factored depending on the variable I mainly focused on.

Answer:

2n-61

twice a number means 2 x n

61 less is just subtracting 61

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]2n - 61[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

⸻⸻⸻⸻

"61 less than twice a number" would be: 2n - 61

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

oh no I don't no the answer boss and

I have a idea to solve this

kanna Sprite kudi answere yosi

Answer:

f(0) = -1

f(1) = 2

f(2) = 4

Step-by-step explanation:

umm math