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Maru [420]
3 years ago
10

Solve the inequality x + 3 < 7. Which number line represents the solution? es )

Mathematics
1 answer:
Leya [2.2K]3 years ago
6 0

Answer:

x < 4

So the dot on the graph would be an open dot and the number line would be shaded to the left.

Step-by-step explanation:

I do not see a number line, but

x < 4

So the dot on the graph would be an open dot and the number line would be shaded to the left.

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An electrical power company is looking to expand into a new market. Before they commit to supplying the new area with electricit
TiliK225 [7]

Answer:

atleast 385

Step-by-step explanation:

Given that an electrical power company is looking to expand into a new market. Before they commit to supplying the new area with electricity, they would like know the mean daily power usage for homes there.

Population std deviation = \sigma = 50

Sample size =n

STd error of sample mean = \frac{50}{\sqrt{n} }

Margin of error for 95% would be Critical value ( std error)

Here since population std dev is known we can use Z critical value= 1.96

1.96*\frac{50}{\sqrt{n} }19.6^2\\n>384.16

Sample size should be atleast 385

5 0
3 years ago
What is the interquartile range of the data set?
pychu [463]
The interquartile range of the data set is 30.
8 0
3 years ago
Identify the constant of proportionality for each direct variation below.
andriy [413]

Answer:

see explanation

Step-by-step explanation:

The equation of 2 quantities in direct proportion is

y = kx ← k is the constant of proportionality

1

y = - 4x ← in standard form

with k = - 4

2

\frac{y}{x} = 2 ( multiply both sides by x )

y = 2x ← in standard form

with k = 2

3

\frac{x}{y} = 3 ( multiply both sides by y )

x = 3y ( divide both sides by 3 )

\frac{1}{3} x = y ← in standard form

with k = \frac{1}{3}

3 0
2 years ago
Find the slope and y-intercepts <br> f(x)= -1/2x - 2
gavmur [86]

Answer:

slope: -1/2

y-intercept: -2

Step-by-step explanation:

f(x) = mx+b

m is slope

b is the y-intercept

so

if f(x) = -1/2x - 2

then

the slope or m is -1/2

and the y-intercept or b is -2

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If a heart beats 8 times in 6 seconds, what is the rate of the heart per minute?
kirill [66]

Answer:

80 is the answer to your question

7 0
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