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3 years ago

What is the length of a bed a)6in b) 6yd c) 6ft

Mathematics

1 answer:

igomit [66]3 years ago

8 0

6 feet is the length

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The distribution of IQ scores can be modeled by a normal distribution with mean 100 and standard deviation 15.

evablogger [386]

Answer:

4.4% of the population with IQ between 120 and 125.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of IQ scores is a bell shaped distribution that is a normal distribution.

a) Let X be a person's IQ score.

Then, density functions for IQ scores is given by:

$P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{z^2}{2}}\\\\\text{where,}\\\\z = \frac{x-\mu}{\sigma}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-100)^2}{450}}$

b) P(population with IQ between 120 and 125.)

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

$P(120 \leq x \leq 125) = P(\displaystyle\frac{120 - 100}{15} \leq z \leq \displaystyle\frac{125-100}{15}) = P(1.33 \leq z \leq 1.66)\\\\= P(z \leq 1.66) - P(z < 1.33)\\= 0.952 - 0.908 = 0.044 = 4.4\%$

$P(120 \leq x \leq 125) = 4.4\%$

6 0

3 years ago

Question 3 (1 point)

Virty [35]

Answer:

The answer to your question is (4, 6)

Step-by-step explanation:

Data

E ( 9 , 7 )

F ( - 1, 5)

Formula

$Xm = \frac{x1 + x2}{2}$

$Ym = \frac{y1 + y2}{2}$

Substitution and simplification

$Xm = \frac{9 -1}{2}$

$Xm = \frac{8}{2}$

Xm = 4

$Ym = \frac{7 + 5}{2}$

$Ym = \frac{12}{2}$

Ym = 6

Result

(4 , 6)

7 0

3 years ago

Evaluate the expression when x = 2, y = 5, and z = 4.

Stolb23 [73]

10y+x²

10(5)+(2)²

10(5)+4

50+4

Therefore, the expression has a value of 54.

5 0

3 years ago

Is 43 a composite number

kobusy [5.1K]

Answer:

43 is not a composite number

Step-by-step explanation:

43 is a prime number

6 0

3 years ago

a box contained apple,oranges,and pears.3/5 of the fruits were apples.1/4 of the remaining fruits were oranges and the rest were

jolli1 [7]

First you will have too find the least common multiple which is 20 and what you multiplied to get 20 multiply it which will make 3/5 to 12/20 and 1/4 too 4/20 and then subtract the two which is 8/20 or 8 oranges. if you need more information talk too me

8 0

3 years ago

Read 2 more answers