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nydimaria [60]
3 years ago
11

In 1990, 53.4% of commuters took public transportation in New York City, which was 19.9% greater than the percentage in San Fran

cisco. Write and solve an equation to find what percentage of commuters p took public transportation in San Francisco.
Mathematics
1 answer:
Maksim231197 [3]3 years ago
3 0

Answer:   53.4 = 19.9 + p

33.5% of commuters took public transportation in San Francisco.

Step-by-step explanation:

Let p be the percentage of commuters took public transportation in San Francisco.

Given: 53.4% of commuters took public transportation in New York City, which was 19.9% greater than the percentage in San Francisco.

That means,

53.4 = 19.9 + p

Hence, required equation : 53.4 = 19.9 + p

Subtract 19.9 from both sides , we get

53.4-19.9=19.9-19.9+p\\\\\Rightarrow\ 33.5=p

hence, 33.5% of commuters took public transportation in San Francisco.

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The constant of proportionality is represented by what letter? Question 4 options: x y z k
pychu [463]

Answer:The constant of proportionality is represented by x.

Hope this helps.




6 0
3 years ago
Paul needs 2 and 1/4 yards of fabric to make a tablecloth. How many tablecloths can he make from 18 and a half yards of fabric?
Taya2010 [7]
18.5/2.25 = 8.2222222.. So The Answer Is 8.
4 0
3 years ago
Read 2 more answers
What are two numbers that add to make 36 with one of the numbers be exactly twice the other
Tema [17]
To solve, set an equation:
First Number: x
Second Number: 2x

x+2x=36
3x=36
divide both sides by 3
x=13

First Number: (x) 12
Second Number: (2x) 24

Answers: 12 and 24
3 0
3 years ago
Read 2 more answers
-2x^2+4x-1 from 6x^2+3x-9
kirza4 [7]

Answer:

8{x}^{2}  - x   - 8

Step-by-step explanation:

We want to subtract

- 2 {x}^{2}  + 4x - 1

from

6 {x}^{2}  + 3x - 9

We set up the subtracttion problem to get:

6 {x}^{2}  + 3x - 9 - ( - 2 {x}^{2}  + 4x - 1)

We expand the parenthesis to get:

6 {x}^{2}  + 3x - 9  + 2 {x}^{2}   - 4x  + 1

Group similar terms:

6 {x}^{2}   + 2 {x}^{2} + 3x- 4x  + 1 - 9

We simplify to get:

8{x}^{2}  - x   - 8

4 0
3 years ago
The data to the right represent the weights​ (in grams) of a random sample of 50 candies. Complete parts​ (a) through​ (f). 0.92
Inessa05 [86]

Answer:

0.069

Step-by-step explanation:

The given data set is

0.92, 0.87, 0.88, 0.82, 0.82, 0.87, 0.97, 0.86, 0.89, 0.84, 0.81, 0.88, 0.77, 0.86, 0.93, 0.84, 0.72, 0.82, 0.74, 0.83, 0.93, 0.75, 0.79, 0.91, 0.84, 0.91, 0.88, 0.88, 0.83, 0.78, 0.99, 0.81, 0.78, 0.75, 0.82, 0.76, 0.82, 0.87, 0.91, 0.77, 0.72, 0.94, 0.71, 0.73, 0.81, 0.81, 0.86, 0.93, 0.93, 0.82.

Formula for mean:

Mean=\frac{\sum x}{n}

Sum of all terms = 41.98

Mean of the data set is

Mean=\frac{41.98}{50}

Mean=0.8396

Formula for standard deviation for population:

\sigma=\sqrt{\frac{\sum (x-\overline{x})^2}{n}}

Formula for standard deviation for sample:

\sigma=\sqrt{\frac{\sum (x-\overline{x})^2}{n-1}}

\sigma=\sqrt{\frac{0.231792}{50-1}}

\sigma=\sqrt{0.004730449}

\sigma=0.06877826

\sigma\approx 0.069

Therefore, the standard deviation of the data set is 0.069.

5 0
3 years ago
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