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Mama L [17]
2 years ago
5

last year the attendance at the homecoming football game was 300.This year , 360 attended What was the percent increase from las

t year to this year ?
Mathematics
1 answer:
enot [183]2 years ago
6 0

Answer:

20%

Step-by-step explanation:

Percent increase is difference/original

360-300) / 300

60/300 / 60/60 = 1/5 * 20/20 = 20/100

Percent is out of 100

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A survey shows that 10% of the population is victimized by property crime each year. A random sample of 527 older citizens (65 y
jekas [21]

Answer:

The data provide sufficient evidence that older people are more likely to be victimized.

Step-by-step explanation:

H 0 : P = 0.10

H 1 : P > 0.10 (Right tailed test)

n = 527, P = 0.1235

The test statistics

x = P - p / \sqrt{p*(1-p) / n}

x = 0.1235 - 0.10 / \sqrt{0.10 * 0.90 / 527}

x = 0.0235 / \sqrt{0.09 / 527}

x = 0.0235 / \sqrt{0.00017077798}

x = 0.0235 / 0.0130682049264618

x = 1.798257689731729

x = 1.798

P value = [1 - p(Z > 1.7980] (Right tailed test)

P value = 0.036089

The P - Value is very small, so <u>reject H0</u>

Conclusion: The data provide sufficient evidence that older people are more likely to be victimized.

7 0
3 years ago
Use the the substitution method to solve the system of linear equations. y = -2x + 6 x=4 enter your answer as an ordered pair
Morgarella [4.7K]

Answer:

The answer would be -2 then.

Step-by-step explanation:

6 0
3 years ago
How does a perpendicular bisector justify sss triangle congruence theorem?
Semmy [17]
Intersects a given segment  at a 90 degree angle,and passes through the given segment's midpoint.
4 0
2 years ago
(40 points to best answer) (answer ASAP)
likoan [24]

Answer:

x =5

Step-by-step explanation:

We can use proportions to solve this problem.  Put the side of one triangle over the same side of the other triangle.

x           4

------ = ----------

40           32

Using cross products

32x = 4*40

32x = 160

Divide each side by 32

32x/32 =160/32

x =5

4 0
3 years ago
Read 2 more answers
Data are drawn from a bell-shaped distribution with a mean of 25 and a standard deviation of 4. There are 1,000 observations in
Delicious77 [7]

Answer:

a. 97.72% of the observations are less than 33

b. Approximately 977 observations are less than 33.

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 25 and a standard deviation of 4.

This means that \mu = 25, \sigma = 4

a. Approximately what percentage of the observations are less than 33?

The proportion is the p-value of Z when X = 33. So

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

Z = \frac{33 - 25}{4}

Z = 2

Z = 2 has a p-value of 0.9772

0.9772*100% = 97.72%

97.72% of the observations are less than 33.

b. Approximately how many observations are less than 33?

Out of 1000:

0.9772*1000 = 977.2

Approximately 977 observations are less than 33.

6 0
2 years ago
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