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Studentka2010 [4]
3 years ago
11

Solve the absolute value inequality.

Mathematics
1 answer:
Alex Ar [27]3 years ago
4 0

Answer: k ≤ -4 or k ≥ \frac{4}{3}

<u>Explanation:</u>

                      | 3k + 4 | ≥ 8

3k + 4 ≥ 8             or                3k + 4 ≤ -8

<u>       -4</u>  <u> -4  </u>                              <u>       -4</u>    <u>-4 </u>

3k       ≥ 4              or                3k       ≤ -12

<u>÷3       </u> <u>÷3  </u>                              <u> ÷3       </u>   <u>÷3 </u>

k        ≥ \frac{4}{3}            or                 k       ≤  -4

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A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population
NikAS [45]

Answer:

<u>The probability that the average weight of the boxes will exceed 94 pounds  is 43.25%</u>

Step-by-step explanation:

1. Let's review the information provided to answer the question correctly:

Mean of the population of box weights = 90 pounds

Standard deviation of the population of box weights = 24 pounds

Sample size = 36 boxes

2. What is the probability that the average weight of the boxes will exceed 94 lb?

For answering this question, we will use the z-scores table.

For using the correct z-score, we should use the correct standard deviation. In this case, we have that:

94 - 90 = 4 pounds above the mean.

4 pounds are 4/24 of the standard deviation,

therefore, simplifying:

4/24 = 1/6 = 0.1666......and we'll round to 0.17

z-score is 0.17 because 4 pounds is 1/6 of the standard deviation (24).

The probability of a z-score is 0.5675, but in this case we're asked by a weight over 94 pounds, not under 94 pounds, thus:

1 - 0.5675 = 0.4325

<u>The probability that the average weight of the boxes will exceed 94 pounds  is 43.25%</u>

8 0
3 years ago
h(x)= \dfrac{1}{8} x^3 - x^2h(x)= 8 1 ​ x 3 −x 2 h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided b
Nesterboy [21]

Answer:

\dfrac{1}{2}

Step-by-step explanation:

Given the function h(x)=\dfrac{1}{8}x^3-x^2

The average rate of change of the function h(x) over the interval a\le x\le b can be calculated using formula

\dfrac{h(b)-h(a)}{b-a}

In your case,

a=-2,\\ \\b=2,

so the average rate of change is

\dfrac{h(2)-h(-2)}{2-(-2)}\\ \\=\dfrac{(\frac{1}{8}\cdot 2^3-2^2)-(\frac{1}{8}\cdot (-2)^3-(-2)^2)}{4}\\ \\=\dfrac{(1-4)-(-1-4)}{4}\\ \\=\dfrac{-3+5}{4}\\ \\=\dfrac{2}{4}\\ \\=\dfrac{1}{2}

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3 years ago
Five dices are tossed together, what is the total number of outcome expected from this experiment?
Serga [27]
The total number of outcomes would be 6 ;) Hope this helps!
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3 years ago
Brainliest help please
anzhelika [568]

Answer:

9x5=45 D is ur answer

Step-by-step explanation:

brainliest???

7 0
3 years ago
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