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hjlf
3 years ago
15

Simplify the expression. csc^2x sec^2x/sec^2x + csc^2x

Mathematics
1 answer:
Svetlanka [38]3 years ago
3 0
2csc^2x + 1 is the correct answer to simplify this expression
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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
1. What is an equation of the line through (3, 12) with slope = 3?​
mafiozo [28]

Answer:

see below

Step-by-step explanation:

We can use point slope form

y - y1 = m(x-x1)

where m is the slope and ( x1,y1) is a point on the line

y-12 = 3(x-12)

If we want it in slope intercept form

Distribute

y-12 = 3x-36

Add 12 to each side

y-12+12 = 3x-36+12

y = 3x-24

8 0
3 years ago
5x-9=15+11x<br><br> The solution for x is x=?
Wittaler [7]

Answer:

x = -4

Step-by-step explanation:

   5x-9 = 15+11x

5x - 11x = 15 + 9

      -6x = 24

         x = -4

5 0
2 years ago
Read 2 more answers
The equation x2 - 9 = 0 has<br> real solution(s).<br> DONE
Andru [333]

Answer:

{-3, 3}

Step-by-step explanation:

x^2 - 9 = 0 can be written in factored form as (x -3)(x + 3) = 0.  Letting each factor equal zero separately and solving for x, we get x:  {-3, 3}

5 0
3 years ago
The radius of a sphere is 6cm. What is the volume of the sphere? (As pi)
natita [175]

Answer:

288πcm^3

Step-by-step explanation

v=(4/3)πr^3

v=(4/3)π*6^3

v=288πcm^3

4 0
3 years ago
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