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3 years ago

Sketch a graph of f(x)

Mathematics

1 answer:

just olya [345]3 years ago

3 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

For $x\leq -2$ -----> the interval is (-∞,-2]

$f(x)=-3$

For $-2 < x \leq 1$ -----> the interval is (-2,1]

$f(x)=x$

For $x > 1$ -----> the interval is (1,∞)

$f(x)=2$

The graph in the attached figure

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3 years ago

Read 2 more answers

What is equivalent to 24/16

gulaghasi [49]

We can convert 24/16 to a mixed number. It will be equivalent to 24/16.

24/16
24 ÷ 16 = 1.5
16 can go in to 24 once.
24 - 16 = 8

1 = whole number
8 = numerator
16 = denominator

Lets write our mixed number:-

$1 \frac{8}{16}$

This can be simplified ^^^^

$\frac{8/8}{16/8} = \frac{1}{2}$

So, our old mixed number simplified is $1 \frac{1}{2}$

So, 24/16 is equivalent to 1. $1 \frac{8}{16}$ , 2. $1 \frac{1}{2}$

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6 0

4 years ago

The heights of women aged 20 – 29 in the United States are approximately Normal with mean 64.2 inches and standard deviation 2.8

Alenkinab [10]

Answer:

a) 0.64

b) -1.13

Step-by-step explanation:

We are given the following information in the question:

Women:

Mean, μ = 64.2 inches

Standard Deviation, σ = 2.8 inches

We are given that the distribution of heights of women is a bell shaped distribution that is a normal distribution.

Men:

Mean, μ = 69.4 inches

Standard Deviation, σ = 3.0 inches

We are given that the distribution of heights of men is a bell shaped distribution that is a normal distribution.

Formula:

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

5.5 feet = 66 inches

a) z‑score for a woman 5.5 feet tall

$x = 66\\\\\Rightqrrow z = \displaystyle\frac{66 - 64.2}{2.8} = 0.64$

b) z‑score for a man 5.5 feet tall

$x = 66\\\\\Rightqrrow z = \displaystyle\frac{66 - 69.4}{3.0} = -1.13$

4 0

3 years ago