♥Please answer soon!♥Find the lateral area of the cone. Use 3.14 pi and round to the nearest whole unit

The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 900 vot

Stells [14]

Answer:

$z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00$

Now we can calculate the p value. Since is a bilateral test the p value would be:

$p_v= P(Z>2) =0.0228$

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

Step-by-step explanation:

Information given

n=900 represent the random sample selected

$\hat p=0.75$ estimated proportion of residents favored annexation

$p_o=0.72$ is the value that we want to test

represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:

Null hypothesis: $p\leq 0.72$

Alternative hypothesis: $p > 0.72$

The statistic for this case is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the data given we got:

$z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00$

Now we can calculate the p value. Since is a bilateral test the p value would be:

$p_v= P(Z>2) =0.0228$

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

3 0

2 years ago

How do you get the fully simplified slope-intercept form?

Mnenie [13.5K]

Answer:

y = 3x - 7

Step-by-step explanation:

Slope-intercept form:

y = mx + b

Where:

y is the y value.

m is the slope.

x is the x value.

And b is the y-intercept.

First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:

m = rise/run

m = 3/1

m = 3

With the slope formula, you first need to choose two points.

I chose:

(2, -1) and (3, 2)

Slope formula:

m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}

m = (2 - (-1)) / (3 - 2)

m = 3/1

m = 3

Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:

y-int = -7

To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.

I chose:

(2, -1)

y = 3x + b

-1 = 3(2) + b

-1 = 6 + b

-1 - 6 = b

b = -7

Now you have your final answer:

y = 3x - 7

6 0

2 years ago

Homework ...........

Vesna [10]

Answer:

ab

Step-by-step explanation:

a+b=ab

a=apple b=banana

done.

8 0

2 years ago

Pizza World has a specialty cheese pizza that can be cut into 10 slices, and they have a specialty pepperoni pizza that can be c

dedylja [7]

16/10=1.6 so the smallest number of combos would be 1.

3 0

2 years ago

the probability that a twelve year old has a brother or sister is 25%. suppose you survey 300 twelve year olds. about how many d

Genrish500 [490]

Answer:

n(B U S) = 75

Step-by-step explanation:

Explanation:-

<u>Probability</u>:-

P(E) = $\frac{number of elements events in E}{total number of elementary events in the random experiment}$

$P(E) = \frac{m}{n}$

Let 'B' be the event of having twelve year old brother

Let 'S' be the event of having twelve year old sister

given data P(BUS) = 0.25

given total survey n(survey) = 300

we have to find the value is n(BUS) =?

we will use probability definition we get, P( BUS) = $\frac{n(BUS)}{n(survey)}$

substitute given values, we will get solution

$0.25 = \frac{n(BUS)}{300}$

after cross multiplication , we get

n(BUS) = 0.25 X 300

n(BUS) = 75

<u></u>

3 0

2 years ago