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Svetlanka [38]
3 years ago
10

The ratio of the measure of two supplementary angles is 15:21. What is the measure of the smallest angle?

Mathematics
1 answer:
anyanavicka [17]3 years ago
3 0

Answer:

75

Step-by-step explanation:

The measure of two supplementary angles =  15:21

The angles are  15x , 21x

15x + 21x = 180       {Supplementary}

         36x = 180

             x = 180/36

             x = 5

Smallest angle = 15 * 5 = 75

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A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is kno
Reika [66]

Answer:

The 90th percentile of the distribution is 6.512 ml.

Step-by-step explanation:

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 of 6 milliliters (ml) and a standard deviation of 0.4 ml.

This means that \mu = 6, \sigma = 0.4

Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.

This is X when Z has a p-value of 0.9, so X when Z = 1.28. Then

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

1.28 = \frac{X - 6}{0.4}

X - 6 = 1.28*0.4

X = 6.512

The 90th percentile of the distribution is 6.512 ml.

3 0
3 years ago
On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and
Otrada [13]

Answer:

P = 4\sqrt{13}

Step-by-step explanation:

Given

W = (7, 2)

X = (5, -1)

Y = (3, 2)

Z =(5, 5)

Required

The perimeter

To do this, we first calculate the side lengths using distance formula

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2

So, we have:

WX = \sqrt{(5- 7)^2 + (-1 - 2)^2

WX = \sqrt{13}

XY = \sqrt{(3-5)^2 + (2--1)^2}

XY = \sqrt{13}

YZ = \sqrt{(5-3)^2 + (5-2)^2}

YZ = \sqrt{13}

ZW = \sqrt{(7 - 5)^2 + (2 - 5)^2}

ZW = \sqrt{13}

The perimeter is:

P = WX + XY + YZ + ZW

P = \sqrt{13}+\sqrt{13}+\sqrt{13}+\sqrt{13}

P = 4\sqrt{13}

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3 years ago
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I feel like I am asking so my questions but I dont really care its a Sunday xD
dimulka [17.4K]
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3 years ago
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