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Kisachek [45]
3 years ago
9

Use a diagram to solve: Sara ran two-fifths of the race. She needs to run 120 m more to finish the race. What is the length of t

he race?
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
7 0
The answer would be 200 meters.
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Answer:

thanks and I like your pfp

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2 less than a number times 6
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Answer: 6x- 2

Explanation: 2 less means (- 2) a number times 6 can be written as 6x
8 0
3 years ago
Diane's Tree Trimming Service has trimmed hundreds of trees in the Greater Denver area. The time it takes to trim a tree is norm
kkurt [141]

Answer:P(28.5And we can find this probability with this difference:

P(-0.7

And in order to find these probabilities we use tables for the normal standard distribution, excel or a calculator.

P(-0.7

So then the best answer would be 21.82 %

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the time it takes to trim a tree of a population, and for this case we know the distribution for X is given by:

X \sim N(32,5)  

Where \mu=32 and \sigma=5

We are interested on this probability

P(28.5

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:P(28.5And we can find this probability with this difference:

P(-0.7

And in order to find these probabilities we use tables for the normal standard distribution, excel or a calculator.

P(-0.7

 So then the best answer would be 21.82 %

8 0
3 years ago
What is the difference between 8477 and 4844 ?
AVprozaik [17]

Answer: <u>3,633</u>

Step-by-step explanation: <u>8,477 - 4,844 = 3,633</u>

7 0
2 years ago
Read 2 more answers
A physical education teacher wanted to test whether her county’s students are falling below the national proportion. It is known
Ipatiy [6.2K]

Answer:

(a) The population parameter is students who ran the mile in less than 10 minutes.

(b) The hypothesis being tested is:

H0: p = 0.70

Ha: p < 0.70

(c) The significance level is 0.05.

(d) In order to conduct a one-sample proportion z-test, the following conditions should be met:

The data are a simple random sample from the population of interest.

The population is at least 10 times as large as the sample.

n⋅p ≥ 10 and n⋅(1−p) ≥ 10, where n is the sample size and p is the true population proportion.

n⋅p = 756 * 0.70 ≥ 10

n⋅(1−p) = 756 * (1 - 0.70) ≥ 10

All the conditions are met.

(e) p = 504/756 = 0.67

The test statistic, z = (p - p)/√p(1-p)/n = (0.67 - 0.70)/√0.70(1-0.70)/756 = -2.00

(f) The p-value is 0.0228.

(g) Since the p-value (0.0228) is less than the significance level (0.05), we can reject the null hypothesis.

(h) Therefore, we can conclude that less than 70% of students run one mile in less than 10 minutes.

Step-by-step explanation:

7 0
3 years ago
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