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IRISSAK [1]
3 years ago
8

Which angle pairs are supplementary? Check all that apply.

Mathematics
1 answer:
Basile [38]3 years ago
8 0

Answer:

The correct answers are B, C, and E.

B. < 4 and < 3

C. < 4 and < 5

E. < 3 and < 6

Step-by-step explanation:

The pairs in options B, C, and E add up to 180°, which is the definition of a supplementary angle.

Hope this helps!

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Aidan rode his bike 2.3 km from home to the library.Then he biked to the park.When he left home, his odometer read 293.8 km.When
Vinvika [58]

Answer:

308.2 - 293.8 = 14.4 km

14.4 - 2.3 = 12.1

So the library is 12.1 km from the park.

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3 years ago
If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of (F g)(x)
laila [671]
I think this attachment will help you

7 0
3 years ago
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Please Answer!
kolezko [41]

Answer:

A (-4,5) B (-3,1) C (-5,2) D (3,1) E (2,5) F(4,4)

Step-by-step explanation:

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3 years ago
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Are these two ratios proportional <br> 3/5 &amp;10/6
fomenos
First off, let's find the LCM of both 5 and 6 to easily compare.

LCM = 30

3/5 = 18/30
10/6 = 50/30

18\neq30

These ratios aren't proportional. Hope this helps!
4 0
3 years ago
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The body temperatures of adults are normally distributed with a mean of 98.6degrees° F and a standard deviation of 0.60degrees°
Schach [20]

Answer:

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 98.6, \sigma = 0.6, n = 36, s = \frac{0.6}{\sqrt{36}} = 0.1

If 36 adults are randomly​ selected, find the probability that their mean body temperature is greater than 98.4degrees° F.

This is 1 subtracted by the pvalue of Z when X = 98.4. So

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

By the Central Limit Theorem

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

Z = \frac{98.4 - 98.6}{0.1}

Z = -2

Z = -2 has a pvalue of 0.0228

1 - 0.0228 = 0.9772

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

6 0
3 years ago
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