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2 years ago

Decrease £600 by 20%

Mathematics

2 answers:

oksano4ka [1.4K]2 years ago

7 0

120 is the 20% of 600

Tpy6a [65]2 years ago

4 0

The answer would be £480 because 20% of 600 is 120 and 600 take away 120 is 480

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you run 1 mile in 8 minutes at a constant speed. How far do you run in 1 minute? write an equation to represent how far you can

Montano1993 [528]

Answer:

0.125

0.125x = Distance Traveled in Miles

0.125 * 11 = 1.375 Miles Ran

Step-by-step explanation:

First divide 1 mile by 8 minutes

1 mi / 8 min = 0.125 mi

Then you simply show 0.125 * x (x being the number you insert to find the distance) = How far you ran

0.125x = Distance Traveled in Miles

Finally you insert 11 for x and multiply to find the distance

0.125 * 11 = 1.375 Miles Ran

6 0

2 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

2 years ago

I'm so tired. Please help my sleep deprived brain with this!

irina1246 [14]

Answer: 1

Step-by-step explanation:

The given point shows -, and the absolute value of that is the distance the number is to 0 and the distance is 1

5 0

2 years ago

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If f(x) = 7x-6, which of the following is the inverse of f(x)?

Harman [31]

Answer:

$f^{-1}$ (x) = $\frac{x+6}{7}$

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject, that is

y = 7x - 6 ( add 6 to both sides )

y + 6 = 7x ( divide both sides by 7 )

x = $\frac{y+6}{7}$

Change y back into terms of x, hence

$f^{-1}$ (x) = $\frac{x+6}{7}$

8 0

2 years ago

What are the zeros of the polynomial function f(x)=x^2+5x+6

Molodets [167]

Find 2 numbers that multiply to 6 and add to 5.

3*2 = 6
3+2 = 5

x^2 + 5x+6 = (x+3)(x+2) = 0

Set each factor equal to zero.
x+3 = 0 ----> x = -3
x+2 = 0 -----> x = -2

Answer:
There are two zeros at -2 and -3.

8 0

2 years ago

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