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3 years ago

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Check all that apply.

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

5 0

The correct answer is –6x + 15 < 10 – 5x.

We can tell this by solving for x.

–3(2x – 5) < 5(2 – x) ----> Multiply to the parenthesis.

-6x + 15 < 10 - 5x ----> This is answer #3 and now we add 5x to both sides

-x + 15 < 10 ----> subtract 15 from both sides

-x < -5 ----> Divide by -1

x > 5 (Note that you have to change the direction of the sign when dividing by a -1. Therefore it does not match answer #1).

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3n t 4=7 how to solve this

77julia77 [94]

7/12n is the answer to your question

7 0

3 years ago

A simple random sample of size n equals 200 individuals who are currently employed is asked if they work at home at least once p

____ [38]

Answer: 99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week

//0.20113,0.20887[/tex]

Step-by-step explanation:

step 1:-

Given sample size n=200

of the 200 employed individuals surveyed 41 responded that they did work at home at least once per week

Population proportion of employed individuals who work at home at least once per week P = $\frac{x}{n} =\frac{41}{200} =0.205$

Q=1-P= 1-0.205 = 0.705

step 2:-

Now $\sqrt{\frac{P Q}{n} } =\sqrt{\frac{(0.205)(0.705)}{200} }$

=0.0015

step 3:-

Confidence intervals

using formula

$(P - Z_∝} \sqrt{\frac{P Q}{n},} (P + Z_∝} \sqrt{\frac{P Q}{n},$

$(0.205-2.58(0.0015),0.205+2.58(0.0015)\\0.20113,0.20887$

=0.20113,0.20887[/tex]

conclusion:-

99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week

//0.20113,0.20887[/tex]

4 0

3 years ago

On friday margaret biked 1 5/8 times the lengtof the bike path how many milea did she ride?

zaharov [31]

Multiple 15 times 8 and that is your answer

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3 years ago

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Karo-lina-s [1.5K]

I believe it is a! hope this helps :-)

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3 years ago

Read 2 more answers

Find the solution to the system of equations algebraically. SHOW ALL WORK FOR FULL CREDIT! x+y=-6 xy=-7

Mekhanik [1.2K]

You can solve this by substitution:

x + y = -6
y = -6-x
Substitute for y in xy = -7:-
x(-6 - x) = -7
-x^2 - 6x = -7

x^2 + 6x - 7 = 0
(x + 7)(x - 1) = 0

so x = -7, 1

To find the values of y plug these va;ues of x into the equation x + y = -6:-
when x = -7, y = -6 + 7 = 1
when x = 1, y = -6 - 1 = -7

so answer is x = -7 and y = 1
and x = 1 and y = -7

4 0

3 years ago