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Assoli18 [71]
3 years ago
9

Refer to the figure below to complete the following problem.

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
8 0

Answer:

C. 30°

Step-by-step explanation:

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Given the following diagram, find the measures of ZA and ZB.
Nutka1998 [239]

Answer:

x = 14.6

ZA = 30.8

ZB = 33.2

Step-by-step explanation:

First, solve x: (knowing all angles of a triangle are 180º)

116º + (2x + 4)º + (3x-13)º = 180º

116 + 2x + 4 + 3x - 13 = 180

2x + 3x = 180 + 13 - 4 - 116

5x = 73

x = 73/5 = 14.6

ZA = 3*14.6 - 13 = 30.8

ZB = 2*14.6 + 4 =33.2

Test:

116º + 33.2º + 30.8º = 180º

3 0
3 years ago
Read 2 more answers
According to a study conducted by the Gallup Organization, the the proportion of Americans who are afraid to fly is 0.10. A rand
notsponge [240]

Answer: 0.1457

Step-by-step explanation:

Let p be the population proportion.

Given: The proportion of Americans who are afraid to fly is 0.10.

i.e. p= 0.10

Sample size : n= 1100

Sample proportion of Americans who are afraid to fly =\hat{p}=\dfrac{121}{1100}=0.11

We assume that the population is normally distributed

Now, the probability that the sample proportion is more than 0.11:

P(\hat{p}>0.11)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.11-0.10}{\sqrt{\dfrac{0.10(0.90)}{1100}}})\\\\=P(z>\dfrac{0.01}{0.0090453})\ \ \ [\because z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} ]\\\\=P(z>1.1055)\\\\=1-P(z\leq1.055)\\\\=1-0.8543=0.1457\ \ \ [\text{using z-table}]

Hence, the probability that the sample proportion is more than 0.11 = 0.1457

3 0
3 years ago
15 points- fill in the blank. One question. Please hurry!
geniusboy [140]

Answer:

(3-2h)^3 + (3-2h)^4 = (3-2h^2)^3 (1 + (3-2h^2))

6 0
3 years ago
Read 2 more answers
Can some one really help me please!!!! :(((
GREYUIT [131]

Answer:

for the first on its a=24 and for the second its a= 48

Step-by-step explanation:

for the first one you have to find the length which is 8 and then you find the width which is 3 then you multiply that to get 24

for the second one you find the base which is the strait line which is 8 then you find the height which is 6 then you multiply it to get 48 i hopes this helped!

7 0
2 years ago
The systolic blood pressure (BP) of adults in the USA is nearly normally distributed with a mean of 121 and standard deviation o
Wittaler [7]

Answer:

Around 0.73% of adults in the USA have stage 2 high blood pressure

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 121 and standard deviation of 16.

This means that \mu = 121, \sigma = 16

Around what percentage of adults in the USA have stage 2 high blood pressure

The proportion is 1 subtracted by the p-value of Z when X = 160. So

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

Z = \frac{160 - 121}{16}

Z = 2.44

Z = 2.44 has a p-value of 0.9927.

1 - 0.9927 = 0.0073

0.0073*100% = 0.73%

Around 0.73% of adults in the USA have stage 2 high blood pressure

5 0
3 years ago
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