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3 years ago

−6>−30−4x−6>−30-4x. What's the inequality.

1 answer:

7 0

-6 > -4x - 30 - 6 > -4x - 30
-6 > -4x - 36 > -4x - 30
+ 4x + 4x + 4x
4x - 6 > -36 > -30
+ 6 + 6 + 6
4x > -30 > -24
4 4 4
x > -7.5 > -6
0 > -x - 7.5 > -x - 6
7.5 > -x > -x - 6
-7.5 > x > x + 6

No solution.

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An urn contains 5 red balls and 2 green balls. Two balls are drawn one after the other. What is the probability that the second

AleksAgata [21]

Answer:

<em>The probability that the second ball is red is 71%</em>

Step-by-step explanation:

<u>Probabilities</u>

We know there are 5 red balls and 2 green balls. Let's analyze what can happen when two balls are drawn in sequence (no reposition).

The first ball can be red (R) or green (G). The probability that it's red is computed by

$\displaystyle P(R)=\frac{5}{7}$

The probability is's green is computed by

$\displaystyle P(G)=\frac{2}{7}$

If we have drawn a red ball, there are only 4 of them out of 6 in the urn, so the probability to draw a second red ball is

$\displaystyle P(RR)=\frac{5}{7}\cdot \frac{4}{6}=\frac{10}{21}$

If we have drawn a green ball, there are still 5 red balls out of 6 in the urn, so the probability to draw a red ball now is

$\displaystyle P(GR)=\frac{2}{7}\cdot \frac{5}{6}=\frac{5}{21}$

The total probability of the second ball being red is

$\displaystyle P(XR)=\frac{10}{21}+\frac{5}{21}=\frac{5}{7}=0.71$

The probability that the second ball is red is 71%

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3 years ago

David earns $8.59 an hour. His benefits package is equal to 18 percent of his hourly wages. When you include the value of his be

meriva

A]
Amount of earning per hour=$8.59
Amount of David's benefits=18/100×8.59=:1.5462
Amount that David earn per hour including benefits is given by:
8.59+1.5462=$10.1362

b]Amount that David earns in 35 hour a week will be:
(amount per hour)*(number of hours)
=8.59*35
=$$300.65

C] amount earned by David including benefits will be:
(amount earned in 35 hours)+(total benefits in 35 hours)
total benefits=1.5462×35=$54.117
thus total amount will be:
300.65+54.117
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3 years ago

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3 years ago

A cylindrical grain bin has a radius of 9 feet and a height of 30 feet. How many cubic feet of grain can the bin hold?

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Answer:1696.46

Step-by-step explanation:

V = π r 2 h

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2 years ago

Two sides of a right triangle measure 6 cm and 8 cm what is the length of the hypotenuse

andrew-mc [135]

Answer:

10 cm

Step-by-step explanation:

a^2 + b^2 =c^2

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