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Art [367]
4 years ago
12

A pool estimate that 43% of likely voters are in favor of additional restrictions on teen drivers the Poll has a margin of error

of plus or minus 4%. Write and solve the absolute value equations to find the minimum and maximum percent of voters that support the restriction
Mathematics
1 answer:
MissTica4 years ago
6 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Estimated number of voters in favor of additional restriction = 43%

Margin of Error = ±4%

Write and solve the absolute value equations to find the minimum and maximum percent of voters that support the restriction:

Minimum percentage of voters = 4% lesser than the estimated number of voters

Maximum percentage of voters = 4% greater than the estimated number of voters

Let number of voters = v

|v - 43%| = ±4%

v = - 4% + 43% = 39% = minimum percentage

v = +4% + 43% = 47% = maximum percentage

39% ≤ v ≤ 47%

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ira [324]

Answer:

B

Step-by-step explanation:

x(2x + 3)

Expand the brackets.

x(2x)+x(3)

Multiply the terms.

2x² + 3x

The answer is 2x² + 3x.

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3 years ago
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Answer:

0 and yes

Step-by-step explanation:

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3 years ago
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Please help its urgent
ankoles [38]

450/30

15

15/3x =5

x= 5

5+2y= 315

5-5+2y =315-5

2y = 310

2y/2 = 310/2

y=155

Step-by-step explanation:

450/45

10

2x+4y=450

2×5=10

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3 years ago
Determine whether the given graph is a function or not.
BaLLatris [955]

Answer:

Function

Step-by-step explanation:

Yes, the graph is a function. For each x value, there is a unique y value that corresponds with it.

A graph can also be tested as a function by using the popular "vertical-line test".

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2 years ago
The number of major earthquakes in a year is approximately normally distributed with a mean of 20.8 and a standard deviation of
SCORPION-xisa [38]

Answer:

a) 51.60% probability that in a given year there will be less than 21 earthquakes.

b) 49.35% probability that in a given year there will be between 18 and 23 earthquakes.

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 20.8, \sigma = 4.5

a) Find the probability that in a given year there will be less than 21 earthquakes.

This is the pvalue of Z when X = 21. So

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

Z = \frac{21 - 20.8}{4.5}

Z = 0.04

Z = 0.04 has a pvalue of 0.5160.

So there is a 51.60% probability that in a given year there will be less than 21 earthquakes.

b) Find the probability that in a given year there will be between 18 and 23 earthquakes.

This is the pvalue of Z when X = 23 subtracted by the pvalue of Z when X = 18. So:

X = 23

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

Z = \frac{23 - 20.8}{4.5}

Z = 0.71

Z = 0.71 has a pvalue of 0.7611

X = 18

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

Z = \frac{18 - 20.8}{4.5}

Z = -0.62

Z = -0.62 has a pvalue of 0.2676

So there is a 0.7611 - 0.2676 = 0.4935 = 49.35% probability that in a given year there will be between 18 and 23 earthquakes.

5 0
3 years ago
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