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ololo11 [35]
3 years ago
8

Ian has 14 boxes of paper and divides them evenly between 4 coworkers. How many whole boxes did each coworker get?

Mathematics
2 answers:
Paha777 [63]3 years ago
8 0
14/4=3.5 So 3 whole boxes.
Stella [2.4K]3 years ago
6 0
We divide 14 by 4 to get 3.5. Each coworker gets three whole boxes and half a box.
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Find the solution set of the inequality:<br> -3x + 8 &lt; 15
telo118 [61]

Hello from MrBillDoesMath!

Answer:

x > -7/3

Discussion:

-3x + 8 < 15                             => add 3x to both sides

(-3x + 3x) + 8 < 15 + 3x          => (-3x + 3x) = 0

8 < 15 + 3x                              => subtract 15 from both sides

8-15 < 3x                                 => 8 - 15 = -7

-7 < 3x                                     => divide both sides by 3

-7/3 < x

Thank You,

MrB

7 0
3 years ago
What is the domain of the function f(x) = square root x-9+5?
tankabanditka [31]

Answer:

sqrt x-4

Step-by-step explanation:

3 0
3 years ago
Of the total population of American households, including older Americans and perhaps some not so old, 17.3% receive retirement
Alex Ar [27]

Answer:

47.54% probability that more than 20 households but fewer than 35 households receive a retirement income

Step-by-step explanation:

We use the binomial aproxiation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.173, n = 120. So

\mu = E(X) = np = 120*0.173 = 20.76

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{120*0.173*0.827} = 4.14

In a random sample of 120 households, what is the probability that more than 20 households but fewer than 35 households receive a retirement income?

We are working with discrete values, so this is the pvalue of Z when X = 35-1 = 34 subtracted by the pvalue of Z when X = 20 + 1 = 21.

X = 34

Z = \frac{X - \mu}{\sigma}

Z = \frac{34 - 20.76}{4.14}

Z = 3.2

Z = 3.2 has a pvalue of 0.9993

X = 21

Z = \frac{X - \mu}{\sigma}

Z = \frac{21 - 20.76}{4.14}

Z = 0.06

Z = 0.06 has a pvalue of 0.5239

0.9993 - 0.5239 = 0.4754

47.54% probability that more than 20 households but fewer than 35 households receive a retirement income

6 0
3 years ago
Complete the following statements using m(x) = x² and n(x) = x – 3.
larisa [96]

Answer: x-3, 3, is not equal to

Step-by-step explanation:

7 0
3 years ago
What is the value of the expression 2 + 32 ⋅ (5 − 1)?
cestrela7 [59]

Answer:

2+32 x (5-1) = 2 +32 x 4 = 2 + 128 = 130

Answer is 130

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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