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xeze [42]
4 years ago
9

Which circle has a center angle that measures 40 degrees

Mathematics
1 answer:
svlad2 [7]4 years ago
8 0

Answer: B

Step-by-step explanation:

A center angle is an angle that has rays that originate from the center.

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The table represents an exponential function.
kkurt [141]

Answer:

b=2/3

Step-by-step explanation:

The table is given as:

\left|\begin{array}{c|c}x&y\\--&--\\1&9\\2&6\\3&4\\4&\dfrac83\\\\5&\dfrac{16}{9}\end{array}\right|

The exponential function is given in the form

y= a (b)^{x}

where a is the initial value and b is the multiplicative rate of change

When  x=1, y=9, we have:

9= a (b)^{1}

When  x=3, y=4, we have:

4= a (b)^{3}

Dividing the two equations:

\dfrac{a (b)^{3}}{a (b)^{1}} =\dfrac{4}{9} \\b^2=\dfrac{4}{9}\\b=\sqrt{\dfrac{4}{9}} \\b=\dfrac{2}{3}

The multiplicative rate of change, b is 2/3.

5 0
4 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
A farmer planted 2/5 of his forty acres in corn and another 3/10 of his land in wheat
Mariana [72]

Answer:

7/10

Step-by-step explanation:

8 0
3 years ago
Quadrilaterals A and B are similar.
Alenkasestr [34]

Answer:

x = 17.5

y = 5

Step-by-step explanation:

Similar means that corresponding angles (same colors in this case) are the same. Rotate the 2nd figure on the right in your mind until the angle label colors fit the 1st figure, just so you can tell what's what. Then you can create ratios with corresponding sides that include only one of the unknowns. So 1st we use

x/7 = 15/6

x = 15/6 * 7

x = 17.5

and

y/12.5 = 6/15

y = 6/15 * 12.5

y = 5

8 0
3 years ago
£198 increased by 20%
saw5 [17]
= 198 x (1 + .20)
= 198 + 39.6
= 237.6

I hope this helps!
3 0
3 years ago
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