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DochEvi [55]
3 years ago
6

Desert cover about 1/7 of all land on earth.about what percent of earth's land is made up of desert

Mathematics
1 answer:
mina [271]3 years ago
7 0
1/7 = 0.143

So, about 14.3%
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Factor the expression completely.<br> -6.75 +2.25x
NARA [144]

Answer:

2,25[-3 + x]

Step-by-step explanation:

The Greatest Common Divisor [GCD] is 2,25; you factor that out, leaving the remaining result inside the brackets.

I am joyous to assist you anytime.

4 0
3 years ago
A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters
natita [175]

Answer:

0.0479 = 4.79% probability that fewer than 11 of them will vote

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either they will vote, or they will not. The probability of a voter voting is independent of any other voter, which 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.

70% of all eligible voters will vote in the next presidential election.

This means that p = 0.7

20 eligible voters were randomly selected from the population of all eligible voters.

This means that n = 20

What is the probability that fewer than 11 of them will vote?

This is:

P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0)

In which

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

P(X = 10) = C_{20,10}.(0.7)^{10}.(0.3)^{10} = 0.0308

P(X = 9) = C_{20,9}.(0.7)^{9}.(0.3)^{11} = 0.0120

P(X = 8) = C_{20,8}.(0.7)^{8}.(0.3)^{12} = 0.0039

P(X = 7) = C_{20,7}.(0.7)^{7}.(0.3)^{13} = 0.0010

P(X = 6) = C_{20,10}.(0.7)^{6}.(0.3)^{12} = 0.0002

P(X = 5) = C_{20,5}.(0.7)^{5}.(0.3)^{15} \approx 0

The probability of 5 or less voting is very close to 0, so they will not affect the outcome. Then

P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0) = 0.0308 + 0.0120 + 0.0039 + 0.0010 + 0.0002 = 0.0479

0.0479 = 4.79% probability that fewer than 11 of them will vote

8 0
3 years ago
Hi pls help me plzzzzzzzzzzzz ​
kirill115 [55]

Answer:

(-3,3) - in quadrant 2 because the quadrant numbers increase as you go counterclockwise

Step-by-step explanation:

5 0
2 years ago
Which of the following are point-slope equations of the line going through (-3,4) and (2,1)? Check all that apply. A. y-1=-5/3(x
lisov135 [29]

Answer:

Step-by-step explanation:

(1-4)/(2+3)= -3/5 is the slope

y - 4 = -3/5(x + 3)

the solution is F

7 0
3 years ago
2a( 3a + b)- 3a(2a+4b)<br>​
Rom4ik [11]

Answer:

<em>-10ab</em>

STEP BY STEP EXPLANATION

<em>2</em><em>a</em><em> </em><em>(</em><em>3</em><em>a</em><em> </em><em>+</em><em> </em><em>b)</em><em> </em><em>-3a(</em><em>2</em><em>a</em><em> </em><em>+</em><em>4</em><em>b</em><em>)</em>

<em>6</em><em>a</em><em>²</em><em> </em><em>+</em><em> </em><em>2</em><em>a</em><em>b</em><em> </em><em>-</em><em> </em><em>6</em><em>a</em><em>²</em><em>-</em><em> </em><em>1</em><em>2</em><em>a</em><em>b</em>

<em>2</em><em>a</em><em>b</em><em>-</em><em>1</em><em>2</em><em>a</em><em>b</em><em> </em><em>6</em><em>a</em><em>²</em><em>-</em><em>6</em><em>a</em><em>²</em>

<em>-10ab</em>

Hope this will help you if not then sorry :)

8 0
3 years ago
Read 2 more answers
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