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3 years ago

Simplify -4x ^3 y ^2(7xy ^4)

Mathematics

1 answer:

avanturin [10]3 years ago

4 0

<span>( -26•7y6x) thats the answer i hope its right im positive it is</span>

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Write two expressions where the solution is 28

umka2103 [35]

Some expressions are:

7 times 4 equals 28
20 plus 8 equals 28
10 plus 18 equals 28
25 plus 3 equals 28

6 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

7w + w - 15 = 17 solve the equation. Check the solution

Rasek [7]

Answer:

Step-by-step explanation:

7w+w-15=17

8w=17+15 add like terms

8w=32 divide

w=32/8=4

now check

7*4+4-15=17

28+4-15=17

17=17

7 0

3 years ago

Help please :D<br> this is a maps test so this is higher than my level

Citrus2011 [14]

Answer:

Ggghhjjjj

Step-by-step explanation:

5 0

3 years ago

Determine e which statement is true about the zeros of the function graphed below

Eddi Din [679]

Try this option:
1. according to the graph no points of intersection between function and X-axis, it means, that
2. D<0 and no real solutions. In other words function has two complex solution.
Answer: 2.

5 0

3 years ago