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malfutka [58]
3 years ago
10

(10.02)

Mathematics
1 answer:
ollegr [7]3 years ago
6 0
<h2>Hello!</h2>

The answer is:

C. Cosine is negative in Quadrant III

<h2>Why?</h2>

Let's discard each given option in order to find the correct:

A. Tangent is negative in Quadrant I: It's false, all functions are positive in Quadrant I (0° to 90°).

B. Sine is negative in Quadrant II: It's false, sine is negative in positive in Quadrant II. Sine function is always positive coming from 90° to 180°.

C. Cosine is negative in Quadrant III. It's true, cosine and sine functions are negative in Quadrant III (180° to 270°), meaning that only tangent and cotangent functions will be positive in Quadrant III.

D. Sine is positive in Quadrant IV: It's false, sine is negative in Quadrant IV. Only cosine and secant functions are positive in Quadrant IV (270° to 360°)

Have a nice day!

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Assuming that the heights of college women are normally distributed with mean 64 inches and standard deviation 1.5 inches, what
professor190 [17]

Answer:

15.74% of women are between 65.5 inches and 68.5 inches.

Step-by-step explanation:

Problems of normally distributed samples can be solved using 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.

In this problem, we have that:

\mu = 64, \sigma = 1.5

What percentage of women are between 65.5 inches and 68.5 inches?

This percentage is the pvalue of Z when X = 68.5 subtracted by the pvalue of Z when X = 65.5.

X = 68.5

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

Z = \frac{68.5 - 64}{1.5}

Z = 3

Z = 3 has a pvalue of 0.9987

X = 65.5

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

Z = \frac{65.5 - 64}{1.5}

Z = 1

Z = 1 has a pvalue of 0.8413

So 0.9987 - 0.8413 = 0.1574 = 15.74% of women are between 65.5 inches and 68.5 inches.

8 0
3 years ago
a number y is 15 larger than a positive number x. if their sum is not more than 85, what are the possible values of y?​
Harrizon [31]

Answer:

y = x + 15 –(1)

x + y = 85

Putting (1)'s value,

x + x + 15 = 85

2x + 15 = 85

2x = 85 - 15 = 70

x = 70/2 = 35

4 0
2 years ago
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fgiga [73]

Answer:

0.6042 or 29/48

Step-by-step explanation:

-5/16 = -0.3125

7/24 = 0.2917

0.2917 - -0.3125 = 0.6042

0.6042 ≅ 29/48

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3 years ago
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So uh what's 2+2<br>jk how's ur day ​
elixir [45]

Answer:

2+2=4

Step-by-step explanation:

My day is good thx

5 0
2 years ago
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The difference of two numbers is 3. Their sum is 13. Find the numbers.<br> Show your work please
Novay_Z [31]

Answer:

5 & 8

Step-by-step explanation:

x-y = 3 -> x = 3+y

x+y = 13 = 3+y+y -> 3+2*y = 13

2*y = 10 -> y = 5

-> x = 3+y = 8

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