3 years ago

-72.5 rational or irrational

Mathematics

1 answer:

ankoles [38]3 years ago

6 0

Answer:

-72.5 is a rational number because it can be written as a fraction.

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Statewide, there are 20 full-time employees to every 3 part-time employees. If there are 250,000 full-time employees, how many p

pickupchik [31]

Divide total full time employees by 20 to find how many groups of 20 there are, then multiply that number by 3 to find total part time employees:

250,000 / 20 = 12,500

12,500 x 3 = 37,500 part time employees.

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3 years ago

SAT verbal scores are normally distributed with a mean of 433 and a standard deviation of 90. Use the Empirical Rule to determin

laila [671]

34% of the scores lie between 433 and 523.

Solution:

Given data:

Mean (μ) = 433

Standard deviation (σ) = 90

Empirical rule to determine the percent:

(1) About 68% of all the values lie within 1 standard deviation of the mean.

(2) About 95% of all the values lie within 2 standard deviations of the mean.

(3) About 99.7% of all the values lie within 3 standard deviations of the mean.

$$Z(X)=\frac{x-\mu}{\sigma}$

$$Z(433)=\frac{433-\ 433}{90}=0$

$$Z(523)=\frac{523-\ 433}{90}=1$

Z lies between o and 1.

P(433 < x < 523) = P(0 < Z < 1)

μ = 433 and μ + σ = 433 + 90 = 523

Using empirical rule, about 68% of all the values lie within 1 standard deviation of the mean.

i. e. $((\mu-\sigma) \ \text{to} \ (\mu+\sigma))=68\%$

Here μ to μ + σ = $\frac{68\%}{2} =34\%$

Hence 34% of the scores lie between 433 and 523.

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2 years ago

The midpoint of is M(4,-3) One endpoint is G(-2,2). find the coordinates of end point

motikmotik

The other endpoint is (10, -8

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2 years ago

Choose the product. a 3 b 2 · 4ab 3 4a3b5 4a3b6 4a4b5

zvonat [6]

A³ b² 4ab³

Rearrange order:

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Now add up the exponents from same base:

4 a³⁺¹ b²⁺³

4 a⁴ b⁵

Final answer: 4 a⁴ b⁵

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2 years ago

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Nuetrik [128]

Answer:

They can make 5 posters.

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2 years ago