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gayaneshka [121]
3 years ago
15

(a) An angle measures 140 . What is the measure of its supplement? (b) An angle measures 36 . What is the measure of its complem

ent?
Mathematics
1 answer:
Lesechka [4]3 years ago
6 0
A: 40 because supplements add up to 180
B: 54 because complements add up to 90
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Can someone help me with this? Please-
lozanna [386]

Answer:

C

Step-by-step explanation:

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2 years ago
What is the equivalent fraction of 60/98
scoray [572]
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3 years ago
In 2013, a study found that U.S. consumers consumed soft drinks with a mean of 42.2 gallons per year and variance of 169. Ninety
melisa1 [442]

Answer:

Ninety-five percent of consumers in the U.S. consumed less than 63.59 gallons.

Step-by-step explanation:

Problems of normally distributed samples are 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:

The standard deviation is the square root of the variance, so \sigma = \sqrt{169} = 13

Also, the mean is 42.2, so \mu = 42.2

Ninety-five percent of consumers in the U.S. consumed less than how many gallons?

The 95th percentile, which is the value of X when Z has a pvalue of 0.95. So X when Z = 1.645

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

1.645 = \frac{X - 42.2}{13}

X - 42.2 = 13*1.645

X = 63.59

Ninety-five percent of consumers in the U.S. consumed less than 63.59 gallons.

4 0
3 years ago
Thr value of k if x-1 is a factor of 2x^3 +3 kx^2+2x-1​
dybincka [34]

Answer:

-2/3

Step-by-step explanation:

put 1 in x should be 0

k is -2/3

8 0
3 years ago
List all of the integer values of x that are part of the solution set for the following inequality: -7 is less than x which is l
GenaCL600 [577]
Your answer is

-5
because of-5 is greater than-7 and equal to-5
so it's satisfied the equation

-7<-5<=-5
3 0
3 years ago
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