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3 years ago

8

Whats the inequality of the product of a number n and 2 is no less than 14

1 answer:

Natalija [7]3 years ago

5 0

Product = Multiply
No less = $\geq$
So, we need to use this info.
N * 2 = 2n.
2n is no less than 14.
2n $\geq$ 14

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According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or o

Marizza181 [45]

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that $p = 0.304$

100 such adults

This means that $n = 100$

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803$

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

7 0

3 years ago

More on Areas. Farmer Jones, and his wife, Dr. Jones, both mathematicians, decide to build a fence in their field to keep the sh

Olin [163]

Answer:

Area covered by the fences will be 16.1 unit²

Step-by-step explanation:

Let the first parabola is represented by the function f(x) = 6x²

and second parabola by g(x) = x² + 9

point of intersection of the graphs will be determined when f(x) = g(x)

6x² = x² + 9

5x² = 9

x² = 1.8

x = ± 1.34

Now we will find the area between these curves drawn on the graph.

Area = $\int_{-1.34}^{1.34}[f(x)-g(x)]dx=\int_{-1.34}^{1.34}[6x^{2}-(x^{2}+9)]dx$

= $\int_{-1.34}^{1.34}(5x^{2}-9)dx$

= $[\frac{5}{3}x^{3}-9x]_{-1.34}^{1.34}$

= $[\frac{5}{3}(-1.34)^{3}-9(-1.34)-\frac{5}{3}(1.34)^{3}+9(1.34)]$

= $[-4.01+12.06-4.01+12.06]$

= 16.1 unit²

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4 years ago

it rained 2.79 inches in july. What was the average daily rainfall in July? (Hint: July has 31 days.)

natali 33 [55]

Rainfall in July = 2.79 inches.

July has 31 days.

2.79 : 31 = x : 1 Set up the proportion

2.79 / 31 = x/1 Cross multiply and switch.

2.79*1 / 31 = x Do the division

0.09 inches = x Answer

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Step-by-step explanation:

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Natasha2012 [34]

Answer:

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Step-by-step explanation:

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3 years ago

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