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soldi70 [24.7K]
3 years ago
5

A chocolate factory usually makes 70,637 chocolates per month. In the

Mathematics
1 answer:
marta [7]3 years ago
8 0

Answer:

Who made the first box of chocolates for Valentine's Day?

Richard Cadbury

Our industry knows just how well paperboard packaging can help to sell products, and so did Richard Cadbury, of the famed chocolate company, who created the first Valentine's Day heart box.

Yea is an information that you need to see for Valentine's Day .

LOL

Step-by-step explanation:

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According to government data, 75% of employed women have never been married. Rounding to 4 decimal places, if 15 employed women
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Answer:

We are given that According to government data, 75% of employed women have never been married.

So, Probability of success = 0.75

So, Probability of failure = 1-0.75 = 0.25

If 15 employed women are randomly selected:

a. What is the probability that exactly 2 of them have never been married?

We will use binomial

Formula : P(X=r) =^nC_r p^r q^{n-r}

At x = 2

P(X=r) =^{15}C_2 (0.75)^2 (0.25^{15-2}

P(X=2) =\frac{15!}{2!(15-2)!} (0.75)^2 (0.25^{13}

P(X=2) =8.8009 \times 10^{-7}

b. That at most 2 of them have never been married?

At most two means at x = 0 ,1 , 2

So,  P(X=r) =^{15}C_0 (0.75)^0 (0.25^{15-0}+^{15}C_1 (0.75)^1 (0.25^{15-1}+^{15}C_2 (0.75)^2 (0.25^{15-2}

 P(X=r) =(0.75)^0 (0.25^{15-0}+15 (0.75)^1 (0.25^{15-1}+\frac{15!}{2!(15-2)!} (0.75)^2 (0.25^{15-2})

P(X=r) =9.9439 \times 10^{-6}

c. That at least 13 of them have been married?

P(x=13)+P(x=14)+P(x=15)

={15}C_{13}(0.75)^{13} (0.25^{15-13})+{15}C_{14} (0.75)^{14}(0.25^{15-14}+{15}C_{15} (0.75)^{15} (0.25^{15-15})

=\frac{15!}{13!(15-13)!}(0.75)^{13} (0.25^{15-13})+\frac{15!}{14!(15-14)!} (0.75)^{14}(0.25^{15-14}+{15}C_{15} (0.75)^{15} (0.25^{15-15})

=0.2360

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4 years ago
Can someone help me with this equation?<img src="https://tex.z-dn.net/?f=%5Cfrac%7B2x%2B3%7D%7B15%7D%20%3D%5Cfrac%7B9%7D%7B10%7D
Murljashka [212]
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Yogurt is an ever more popular food item. In 2002, American Dairy affiliates produced 2133 million pounds of yogurt. In 2007, th
Valentin [98]
You would write your 2 ordered pairs based on the year and the amount of yogurt sold in that year.

The x-value (your first number in the ordered pair) the year and the y-value (the 2nd number in the ordered pair) the amount of yogurt.

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Julio paid $27 to rent a scooter for 4 hours. Elsie paid $42 for 7 hour. Assuming the relationship is linear, write an equation
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Line g passes through points (5, 9) and (3, 2). Line h passes through points (9, 10) and (2, 12). Are line g and line h parallel
icang [17]

For this case we find the slopes of each of the lines:

The g line passes through the following points:

(x_ {1}, y_ {1}) :( 3,2)\\(x_ {2}, y_ {2}) :( 5,9)

So, the slope is:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {9-2} {5-3} = \frac {7} {2}

Line h passes through the following points:

(x_ {1}, y_ {1}) :( 9,10)\\(x_ {2}, y_ {2}) :( 2,12)

So, the slope is:

m = \frac {y_ {2} -y_ {1}}{x_ {2} -x_ {1}} = \frac {12-10} {2-9} = \frac {2} {- 7} = - \frac {2} {7}

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

It is observed that lines g and h are not parallel. We verify if they are perpendicular:

\frac {7} {2} * - \frac {2} {7} = \frac {-14} {14} = - 1

Thus, the lines are perpendicular.

Answer:

The lines are perpendicular.

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