What is the length of AC?<br> Please help me ASAP!!!

In a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 307 ord

klemol [59]

Answer:

We conclude that the rate of inaccurate orders is greater than 10%.

Step-by-step explanation:

We are given that in a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 307 orders observed.

Let p = <u><em>population proportion rate of inaccurate orders</em></u>

So, Null Hypothesis, $H_0$ : p $\leq$ 10% {means that the rate of inaccurate orders is less than or equal to 10%}

Alternate Hypothesis, $H_A$ : p > 10% {means that the rate of inaccurate orders is greater than 10%}

The test statistics that will be used here is <u>One-sample z-test</u> for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of inaccurate orders = $\frac{40}{307}$ = 0.13

n = sample of orders = 307

So,<u><em> the test statistics</em></u> = $\frac{0.13-0.10}{\sqrt{\frac{0.10(1-0.10)}{307} } }$

= 1.75

The value of z-test statistics is 1.75.

<u>Also, the P-value of the test statistics is given by;</u>

P-value = P(Z > 1.75) = 1 - P(Z $\leq$ 1.75)

= 1 - 0.95994 = <u>0.04006</u>

Now, at 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since the value of our test statistics is more than the critical value of z as 1.75 > 1.645, so <u><em>we have sufficient evidence to reject our null hypothesis</em></u> as it will fall in the rejection region.

Therefore, we conclude that the rate of inaccurate orders is greater than 10%.

8 0

3 years ago

Pls pls pls pls help me

kirza4 [7]

Answer:

7% discount

Step-by-step explanation:

The discounted amount is $2.31 incase you needed that too

8 0

3 years ago

Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water

Grace [21]

The range of this function is all real numbers such that 0 ≤ y ≤ 40.

<h3>What is a range?</h3>

A range is the set of all real numbers that connects with the elements of a domain. This simply means that, a range is the solution set on the y-axis.

<h3>How to determine the range?</h3>

Based on the table (see attachment), we can logically deduce that when the time (x) is zero (0), the amount of water remaining in the bathtub (y) is 40.

Therefore, the range of this function is all real numbers such that 0 ≤ y ≤ 40.

Read more on range here: brainly.com/question/16610662

#SPJ1

7 0

2 years ago

Need help thank you!

Rudik [331]

Answer:

$216

Step-by-step explanation:

We know that the cost of an outfit for one team member is 10 + 26 + 18 = $54, therefore, the cost of outfits for all 4 team members will be 54 * 4 = $216.

3 0

3 years ago

An ellipse has a co-vertex at (–8, 9) and a foci at (4, 4). If the center of the ellipse is located below the given co-vertex, t

vovikov84 [41]

Answer:

Step-by-step explanation:

“the center of the ellipse is located below the given co-vertex”

Co-vertex and center are vertically aligned, so the ellipse is horizontal.

Equation for horizontal ellipse:

(x-h)²/a² + (y-k)²/b² = 1

with

a² ≥ b²

center (h,k)

vertices (h±a, k)

co-vertices (h, k±b)

foci (h±c,k), c² = a² -b²

One co-vertex is (-8,9), so h = -8.

One focus is (4,4), so k = 4.

Center (h,k) = (-8,4)

c = distance between center and focus = |-8 - 4| = 12

b = |9-k| = 5

a² = c² + b² = 169

(x+8)²/169 + (y-4)²/25 = 1

7 0

3 years ago

What is the length of AC? Please help me ASAP!!!