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3 years ago

6

Eddie is practicing wind sprints during his summer break. He’s able to run 72 meters in 12 seconds. If d represents distance and

t represents time, which equation represents this proportional relationship?
dt = 6

d = 6t

1 answer:

olganol [36]3 years ago

3 0

The answer is d=6t ok because if you multiply 12 by 6 you get 72 as this shows their relationship

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Rewrite using a single exponent. 4^3 X 4^6

atroni [7]

4^9 is the correct answer to your question

4 0

3 years ago

Suppose data made available through a health system tracker showed health expenditures were $10,348 per person in the United Sta

nignag [31]

Answer:

a) 30.08% probability the sample mean will be within $100 of the population mean.

b) 0% probability the sample mean will be greater than $12,600

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the Central Limit Theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

$\mu = 10348, \sigma = 2500, n = 100, s = \frac{2500}{\sqrt{100}} = 250$

a. What is the probability the sample mean will be within Â±$100 of the population mean?

This is the pvalue of Z when X = 100 divided by s subtracted by the pvalue of Z when X = -100 divided by s. So

$Z = \frac{100}{250} = 0.4$

$Z = -\frac{100}{250} = -0.4$

Z = 0.4 has a pvalue of 0.6554, Z = -0.4 has a pvalue of 0.3556

0.6554 - 0.3546 = 0.3008

30.08% probability the sample mean will be within $100 of the population mean.

b. What is the probability the sample mean will be greater than $12,600?

This is 1 subtracted by the pvalue of Z when X = 12600. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{12600 - 10348}{250}$

$Z = 9$

$Z = 9$ has a pvalue of 1.

1 - 1 = 0

0% probability the sample mean will be greater than $12,600

5 0

3 years ago

1. Olivia is trekking for 17.4 km at a bearing of N38°E.

andrezito [222]

4. Volume is 5 cubed = 125cm^3
Surface area is 25x6=150cm^2

5. 50-((3x4.50)+(2x3.75)+(4x4.20))

7. 2n(4m+3)

6. 6a - 15

8. 3.14

9. 247.46

10. 1349.00

6 0

3 years ago

Rodney had 7 toffees MORE than Micah. Micah’s father then gave him 2 more toffees. How many toffees more than Micah would Rodney

WARRIOR [948]

Answer:

Rodney will have 9 toffees more than Micah.

Step-by-step explanation:

Let the numbr of toffee Micah have = x

So, the number of toffee Rodney have = x + 7.

Since, Micah's father gave him 2 more toffees.

Then, number of toffee Micah now have = x + 2

<em>So, number of toffees Rodney will have = (x+7) + 2 = x + 9.</em>

Hence, Rodney will have 9 toffees more than Micah.

5 0

4 years ago

What is the surface area?

Blizzard [7]

Answer:

42 square yards

Step-by-step explanation:

T.S.A of cube

$= 6l {}^{2} \\$

where l = 7yd

$= 6(7) \\ = 42 \: yd {}^{2}$

thus, the surface area of cube is 42 square yards

8 0

3 years ago