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3 years ago

8

What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12?

1 answer:

jeka943 years ago

5 0

Well, we need to solve the inequality in terms of x...

-3(6-2x)≥4x+12 carry out indicated multiplication on left side

-18+6x≥4x+12 subtract 4x from both sides

-18+2x≥12 add 18 to both sides

2x≥30 divide both sides by 2

x≥15, in interval notation:

x=[15, +oo)

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12x+3=15x solve for x

malfutka [58]

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4 0

2 years ago

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C and D are mutually exclusive events. Find P(C or D).<br> P(C)= 3/7= P(D)= 4/7<br> P(C or D)

IgorLugansk [536]

Answer:

$P(C\ or\ D) = 1$

Step-by-step explanation:

Given

$P(C) = \frac{3}{7}$

$P(D) = \frac{4}{7}$

Required

$P(C\ or\ D)$

Since the events are mutually exclusive, then:

$P(C\ or\ D) = P(C) + P(D)$

So, we have:

$P(C\ or\ D) = \frac{3}{7} + \frac{4}{7}$

Take LCM

$P(C\ or\ D) = \frac{3+4}{7}$

$P(C\ or\ D) = \frac{7}{7}$

$P(C\ or\ D) = 1$

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2 years ago

21% of deaths among male adults can be attributed to heart diseases. Is this percentage different among residents in Sonoma Coun

qwelly [4]

Answer:

Step-by-step explanation:

The null hypothesis is usually the default statement while the alternative hypothesis is its opposite and usually tested against the null hypothesis.

In this case study, the null hypothesis is u = 21%/0.21, the percentage is not different among residents in Sonoma County and is equal to 0.21.

While the alternative hypothesis is u =/ 0.21, the percentage is different among residents in Sonoma County; not equal to 0.21

4 0

2 years ago

Sari drives 55 miles per hour. Which equation shows the proportional relationship between hours (h) and miles (m)?

Finger [1]

Answer:

$m=55h$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

m ----> the distance in miles (y-coordinate)

h ----> the time in hours (x-coordinate)

In this problem the constant of proportionality k is given and is equal to

$k=55\ \frac{miles}{hour}$ ----> the speed

substitute

$m=55h$

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3 years ago

What is the mean? <br> 19, 16, 24, 12, 16, 21, 18

attashe74 [19]

I'm pretty sure it's 12.

6 0

2 years ago

Read 2 more answers