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3 years ago

PLEASE HELP, ASAP! PLEASE AND THANK YOU!

Mathematics

1 answer:

Gala2k [10]3 years ago

3 0

Answer:

The answer to your question is 6.- B 7.- D

Step-by-step explanation:

Data

Parallelogram ACFG

6.-

m∠GAC = 112°

m∠ACF = ?

Process

These angles are supplementary, they measure the same.

∠GAC + ∠ACF = 180

-Substitution

112 + ∠ACF = 180°

-Solve for ∠ACF

∠ACF = 180° - 112°

-Result

∠ACF = 68°

7.-

m∠AGF = 2a + 10

m∠ACF = a + 20

The angles ∠GAC and ACF are equal, they measure the same.

∠GAC = ∠ACF

-Substitution

a + 20 = 2a + 10

-Solve for a

a - 2a = 10 - 20

-Result

-a = -10

a = 10

-Find ∠AGF

∠AGF = 2(10) + 10

20 + 10

= 30°

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Solve 8x2 - 7 = 193.

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Answer:

Hi, there the answer is B. Trust me

Step-by-step explanation:

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3 years ago

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The resting heart rate for an adult horse should average about µ = 47 beats per minute with a (95% of data) range from 19 to 75

KatRina [158]

Answer:

a. 0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. 0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. 0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean:

$\mu = 47$

(95% of data) range from 19 to 75 beats per minute.

This means that between 19 and 75, by the Empirical Rule, there are 4 standard deviations. So

$4\sigma = 75 - 19$

$4\sigma = 56$

$\sigma = \frac{56}{4} = 14$

a. What is the probability that the heart rate is less than 25 beats per minute?

This is the p-value of Z when X = 25. So

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

$Z = \frac{25 - 47}{14}$

$Z = -1.57$

$Z = -1.57$ has a p-value of 0.0582.

0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. What is the probability that the heart rate is greater than 60 beats per minute?

This is 1 subtracted by the p-value of Z when X = 60. So

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

$Z = \frac{60 - 47}{14}$

$Z = 0.93$

$Z = 0.93$ has a p-value of 0.8238.

1 - 0.8238 = 0.1762

0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. What is the probability that the heart rate is between 25 and 60 beats per minute?

This is the p-value of Z when X = 60 subtracted by the p-value of Z when X = 25. From the previous two items, we have these two p-values. So

0.8238 - 0.0582 = 0.7656

0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

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3 years ago

I don't know which one please help

ch4aika [34]

The answer is (A) 15.

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Answer:

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Step-by-step explanation:

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