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Yuri [45]
2 years ago
10

A french fry stand at the fair serves their fries in paper cones. The cones have a radius of 222 inches and a height of 666 inch

es. It is a challenge to fill the narrow cones with their long fries. They want to use new cones that have the same volume as their existing cones but a larger radius of 444 inches.
What will the height of the new cones be?
Mathematics
1 answer:
rewona [7]2 years ago
4 0

Based on the given parameters about old cone, the height of the new cone is 12 inches

<h3>Equivalent ratio</h3>

Old cone:

  • Radius, r = 2 inches
  • Height, h = 6 inches

New cone:

  • Radius, r = 4 inches
  • Height, h = h

equate ratio of radius to height in old and new cone

2 : 6 = 4 : h

2/6 = 4/h

cross product

2 × h = 6 × 4

2h = 24

h = 24/2

h = 12 inches

Learn more about ratio:

brainly.com/question/2328454

#SPJ1

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3 years ago
What is the slope?<br> y ≥ 1x + 1
adelina 88 [10]

y ≥ 1x+1

y ≥ x+1

Two points that are on the graph of y ≥ x+1 are (0,1)and (1,2).

Use the equation for finding the slope.

\frac{y_2-y_1}{x_2-x_1}

\frac{2-1}{1-0}=\frac{1}{1}=1

The slope is 1.

6 0
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What is 7.3 as a fraction
Snezhnost [94]
To write 7.3 as a fraction you have to write 7.3 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
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And finally we have:
7.3 as a fraction equals 73/10
7 0
3 years ago
TDaP is a booster shot that prevents Diphtheria, Tetanus, and Pertussis in adults and adolescents. It should be administered eve
tiny-mole [99]

Answer:

Yes. There is enough evidence to support the claim that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.

P-value = 0.00013.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0

The significance level is 0.05.

The sample 1 (Group 1), of size n1=145 has a proportion of p1=0.124.

p_1=X_1/n_1=18/145=0.124

The sample 2 (Group 2), of size n2=355 has a proportion of p2=0.037.

p_2=X_2/n_2=13/355=0.037

The difference between proportions is (p1-p2)=0.088.

p_d=p_1-p_2=0.124-0.037=0.088

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{18+13.135}{145+355}=\dfrac{31}{500}=0.062

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.062*0.938}{145}+\dfrac{0.062*0.938}{355}}\\\\\\s_{p1-p2}=\sqrt{0+0}=\sqrt{0.001}=0.024

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.088-0}{0.024}=\dfrac{0.088}{0.024}=3.68

This test is a right-tailed test, so the P-value for this test is calculated as (using a z-table):

\text{P-value}=P(z>3.68)=0.00013

As the P-value (0.00013) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.

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Answer:

250x.04=x

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250x.04 would be 10 so you get a 10 doller return each year.

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