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andreev551 [17]

1 year ago

12

Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's

contributions showing all steps in long division.
Me: $14.89
Friend 1: $7.27
Friend 2: $25.67
Friend 3: $11.59

1 answer:

DiKsa [7]1 year ago

7 0

The fraction based on the information given illustrated for each person.

<h3>How to illustrate the information?</h3>

Me: $14.89

Friend 1: $7.27

Friend 2: $25.67

Friend 3: $11.59

Total = $59.42

The fraction for each person will be:

Me: $14.89 = 14.89/59.42 = 0.25

Friend 1: $7.27 = 7.27/59.42 = 0.12

Friend 2: $25.67 = 25.67/59.42 = 0.32

Friend 3: $11.59 = 11.59/59.42 = 0.195

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Pleaseee help help

Eddi Din [679]

The angle the golfer went off line from the tee when they drove the ball

is $\phi=28.2 \textdegree$ because the cosine rule has been applied to calculate the angle

From the question we are told that:

Distance of hole from tee $d_h=340yards$

Distance to the right $d_r=230yards$

Ball distance from hole $d_b=175 yard$

Given that the three points form a triangle x,y,z respectively

Where

$d_h=xz$

$d_r=xy$

$d_b=yz$

Using Cosine Rule

$yz^2=xy^2+xz^2-2(xy)(xz)cos\phi$

Therefore

$cos\phi=\frac{yz^2}{xy^2+xz^2-2(xy)(xz)}$

$cos\phi=\frac{(175)^2}{230^2+340^2-2(230)(340)}$

$cos\phi=0.88$

$\phi=28.2 \textdegree$

In conclusion the angle the golfer went off line from the tee when they

drove the ball is mathematically deducted and give as

$\phi=28.2 \textdegree$

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5 0

3 years ago

Which number should.be added to the data so that the range of the data is 31? 54,72,64,57

Sergio039 [100]

Answer: 41 or 85

<u>Step-by-step explanation:</u>

Range is the difference between the largest number and the smallest number.

The largest number is 72. 72 - 31 = 41

The smallest number is 54. 54 + 31 = 85

Adding either ONE of those numbers will result in a range of 31.

3 0

3 years ago

What expression should replace A,B,C

ser-zykov [4K]

Answer:

A = 5x + 3y

B = 8x + 5y

C = 15x + 11y

Step-by-step explanation:

B = 6x + 2y + 2x + 3y

= 6x + 2x + 2y + 3y

= 8x + 5y

C = 8x + 5y + 7x + 6y

= 8x + 7x + 5y + 6y

= 15x + 11y

A = 7x + 6y - 2x - 3y

= 7x - 2x + 6y - 3y

= 5x + 3y

3 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

Perform the indicated operation. Simplify the result in factored form.

guajiro [1.7K]

Answer:

$\frac{3(a - 7)}{4x(a - 4)}$

4 0

3 years ago