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Lilit [14]
3 years ago
5

35/7•5+2 Help with math Simplify

Mathematics
2 answers:
crimeas [40]3 years ago
6 0

Answer:

27, correct me if im wrong

Step-by-step explanation:

stellarik [79]3 years ago
4 0

Answer:

35/7 = 5

5*5 = 25

25+2 = 27

Step-by-step explanation:

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Answer: The graph is attached.

Step-by-step explanation:

By definition, the line intersects the y-axis when x=0.

Then, in order to find the y-intercept, substitute x=0 into the equation and solve for "y":

3(0)-4y=12\\\\y=\frac{12}{-4}\\\\y=-3

By definition, the line intersects the x-axis when y=0.

Then, in order to find the x-intercept, you can substitute y=0 into the equation and then you must solve for "x". Then you get:

3x-4(0)=12\\\\x=\frac{12}{3}\\\\x=4

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3 years ago
Suppose that daily calorie consumption for american men follows a normal distribution with a mean of 2760 calories and a standar
lianna [129]

Answer:

38.11% probability that the mean of her sample will be between 2700 and 2800 calories

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 = 2760, \sigma = 500, n = 25, s = \frac{500}{\sqrt{25}} = 100

Find the probability that the mean of her sample will be between 2700 and 2800 calories

This is the pvalue of Z when X = 2800 subtracted by the pvalue of Z when X = 2700.

X = 2800

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

By the Central Limit Theorem

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

Z = \frac{2800 - 2760}{100}

Z = 0.4

Z = 0.4 has a pvalue of 0.6554

X = 2700

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

Z = \frac{2700 - 2760}{100}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

0.6554 - 0.2743 = 0.3811

38.11% probability that the mean of her sample will be between 2700 and 2800 calories

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