SOMEONE PLZ HELP ME IM CRYING

Candidate A is facing two opposing candidates in a mayoral election. In a recent poll of 300 residents, 98 supported candidate B

babymother [125]

Answer:

[0.4235, 0.5365]

Step-by-step explanation:

Data given and notation

n=300 represent the random sample taken

X=300-98-58=144 represent the people that support the candidate A in the sample

$\hat p=\frac{144}{300}=0.48$ estimated proportion of people that support the candidate A in the sample

$\alpha=0.05$ represent the significance level

Confidence =0.95 or 95%

p= population proportion of people that support the candidate A.

Confidence interval

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$0.48 - 1.96 \sqrt{\frac{0.48(1-0.48)}{300}}=0.4235$

$0.48 + 1.96 \sqrt{\frac{0.48(1-0.48)}{300}}=0.5365$

And the 95% confidence interval would be given (0.4235;0.5365).

$0.4235 \leq p \leq 0.5365$

8 0

2 years ago

What are the solution(s) to the quadratic equation 50 – x2 = 0? x = ±2Plus or minus 2 StartRoot 5 EndRoot x = ±6Plus or minus 6

Serga [27]

Question:

What are the solution(s) to the quadratic equation 50 – x2 = 0?

A) x = ±2Plus or minus 2 StartRoot 5 EndRoot

B) x = ±6Plus or minus 6 StartRoot 3 EndRoot

C) x = ±5Plus or minus 5 StartRoot 2 EndRoot

D) no real solution

Answer:

C) x = ±5Plus or minus 5 StartRoot 2 EndRoot

3 0

2 years ago

Read 2 more answers

Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three

RSB [31]

Answer:

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

Step-by-step explanation:

we have

$f(x)=x^{2}$

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the origin (0,0)

$g(x)=-5x^{2}+100x-450$

This is a vertical parabola open downward

The vertex is a maximum

The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

Convert to vertex form

$g(x)=-5x^{2}+100x-450$

Complete the square

$g(x)=-5(x^{2}-20x)-450$

$g(x)=-5(x^{2}-20x+100)-450+500$

$g(x)=-5(x^{2}-20x+100)+50$

$g(x)=-5(x-10)^{2}+50$

The vertex is the point (10,50)

so

To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

The transformations are

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

5 0

2 years ago

Read 2 more answers

There are 12 inches in 1 foot and 5,280 feet in 1 mile. Is Elena ran 2-1/2 miles how many inches is that ?

puteri [66]

Answer:

158400 inches is 2 1/2 miles

Step-by-step explanation:

2.5* 5280 because 2.5 miles is 13200 feet.

13200*12 because 13200 feet is 158400 inches.

The answer would be 158400 inches.

Please mark as brainliest! Hope this helps! If you need anymore help just ask! :D

4 0

2 years ago

Read 2 more answers

31. The director of a marketing department wants to estimate the proportion of people who purchase a certain product online. The

vivado [14]

Answer:

C

Step-by-step explanation:

AP Classroom says so

6 0

2 years ago