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3 years ago

Answer the question Please ASAP

Mathematics

2 answers:

stellarik [79]3 years ago

8 0

Independent variable is number of friends

Dependent variable is cost

Nastasia [14]3 years ago

6 0

Answer is c because I just passed the test with 100 on problem 2 I hope it is correct

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The following question find the value of the variables. If your answer is not an integer leave it in simplest radical form

Margarita [4]

Answer:

option 4

Step-by-step explanation:

using the sine/ cosine ratios in the right triangle and the exact values

cos30° = $\frac{\sqrt{3} }{2}$ , sin30° = $\frac{1}{2}$ , then

cos30° = $\frac{adjacent}{hypotenuse}$ = $\frac{x}{20\sqrt{3} }$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2x = 20 $\sqrt{3}$ × $\sqrt{3}$ = 20 × 3 = 60 ( divide both sides by 2 )

x = 30

and

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{y}{20\sqrt{3} }$ = $\frac{1}{2}$ ( cross- multiply )

2y = 20 $\sqrt{3}$ ( divide both sides by 2 )

y = 10 $\sqrt{3}$

3 0

2 years ago

A triangle is graphed in the coordinate plane. The vertices of the triangle have coordinates (-4, 1), (1, 1), and (1, -11). What

Jlenok [28]

The answer is 30. hope it will help you.

3 0

3 years ago

What are the real and imaginary parts of the complex number?

Hoochie [10]

Answer:

real: -9
imaginary: 8

Step-by-step explanation:

The imaginary number <em>i</em> signifies the imaginary part of a complex number. The imaginary part of the number is the coefficient of <em>i</em>. The real part is everything else.

In (a +bi), (a) is the real part, and (b) is the imaginary part.

In (-9 +8i), (-9) is the real part and (8) is the imaginary part.

real: -9
imaginary: 8

6 0

2 years ago

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

3 0

3 years ago

In a class of 20 students, 40% are boys. 25% of the boys and 50% of the girls wear glasses. How many students wear glasses?

fredd [130]

Calcualate 40% (0.40) times 20 to get that there are 8 boys in the class. The rest must be girls, so 20 - 8 gives you 12 girls. 25% (0.25) times the 8 boys gives you that 2 of the boys wear glasses. 50% (0.5) times the 12 girls tives you that 6 girls wear glasses. Add together the 2 boys and the 6 girls that wear glasses to get that a total of 8 students wear glasses.

3 0

3 years ago