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3 years ago

HELP I WILL MARK YOU BRAINLEST!!

Mathematics

1 answer:

pav-90 [236]3 years ago

7 0

Answer:

0.19706

Step-by-step explanation:

-Given the mean salary is $65,000 and the standard deviation is $6,000, the probability of making between $70000 and 80000 can be calculated as:

$P(70000$

Hence,the probability that an employee makes between $70,000 and $80,000 is 0.19706

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What is a and b pls answer ASAP I need it !!! Plsss

nlexa [21]

Answer:

The value of a = 5.

the value of b = 6.

Step-by-step explanation:

Given the points on the line

(6, 10)
(a, 8)
(4, b)
(2, 2)

Given that all of the points are on the same line and the line represents a linear function.

Thus, the slope between any two points must be the same.

First, determine the slope between (6, 10) and (2, 2)

(x₁, y₁) = (6, 10)

(x₂, y₂) = (2, 2)

Using the formula

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [2 - 10] / [2 - 6]

= -8 / -4

= 2

Thus, the slope of the line = m = 2

Determine the value 'a'

(x₁, y₁) = (6, 10)

(x₂, y₂) = (a, 8)

Using the slope formula to determine the value of 'a'

Slope = [y₂ - y₁] / [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (6, 10) and (x₂, y₂) = (a, 8) in the slope formula

Slope = [y₂ - y₁] / [x₂ - x₁]

2 = [8 - 10] / [a - 6]

2(a - 6) = 8 - 10

2a - 12 = -2

2a = -2 + 12

2a = 10

divide both sides by 2

a = 5

Therefore, the value of a = 5.

Determine the value 'b'

(x₁, y₁) = (2, 2)

(x₂, y₂) = (4, b)

Using the slope formula to determine the value of 'b'

Slope = [y₂ - y₁] / [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (2, 2) and (x₂, y₂) = (4, b) in the slope formula

Slope = [y₂ - y₁] / [x₂ - x₁]

2 = [b - 2] / [4 - 2]

2(4 - 2) = b - 2

8 - 4 =b - 2

4 = b - 2

b = 6

Therefore, the value of b = 6

7 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

After a day of shopping, Hannah spent $150. This is 75% of the amount she got from her mom. How much money did she get from her

azamat

Answer:

Hannah got $200 for her mom

Step-by-step explanation:

With the numbers in this question you don't even have to worry about percentages.

You can think of it in quarters:

75% is 3 quarters of 100%

(25% + 25% + 25% + 25%)

$150 is 3 quarters of $200

($50 + $50 + $50 + $50)

Hope this helps and isn't a confusing way of explaining it! :)

6 0

4 years ago

Please help i have to turn this in in 10 mins

Delicious77 [7]

Answer:

3) yes by AA~...

Step-by-step explanation:

ALTERNATE INTERIOR ANGLES

3 0

3 years ago

What is the equation of a line parallel to Y=-3x+5 that passes through point (6,8)?

babymother [125]

9514 1404 393

Answer:

y = -3x +26

Step-by-step explanation:

We assume the given line is ...

y = -3x +5

This is in slope-intercept form:

y = mx +b

where m = -3 and b = 5.

The parameter m represents the slope of the line. A parallel line will have the same slope, so will be of the form ...

y = -3x +b

We can find the value of b using the given point:

8 = -3(6) +b

26 = b . . . . . . add 18

So, the equation of the parallel line through (6, 8) is ...

y = -3x +26

8 0

3 years ago