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FinnZ [79.3K]
3 years ago
9

seven out of every 8 students surveyed owns a bike. The difference between the number of students who own a bike and those who d

o not is 72. How many students were surveyed?
Mathematics
1 answer:
guajiro [1.7K]3 years ago
5 0
So if x people were surveyed, \frac{7}{8} people owned a bike and \frac{1}{8}  did not.

The difference between them is 72:
\frac{7}{8} x-\frac{1}{8} [/tex] =72
so this means that
\frac{6}{8} x=72

let's simplify:

\frac{3}{4} x=72

and divide by 3:

\frac{1}{4} x=24

and mupliply by 4:

x=96

so 96 people were surveyed







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Use order of operations to solve: 4(12*6-4^2)+9
Dominik [7]

Answer: =233

Step-by-step explanation: 4((12)(6)−4^2)+9

Hope this help

8 0
3 years ago
#1. Joseph wants to find the side length of a square that has an area of 150
adell [148]

Answer:

The answer is irrational

Step-by-step explanation:

we know that

The area of a square is given by the formula

A=b^2

where

b is the length side of the square

In this problem we have

A=150\ ft^2

substitute in the formula

b^2=150

take the square root both sides

b=\sqrt{150}\ ft\\

simplify

b=5\sqrt{6}\ ft

Remember that

A <u><em>Rational Number</em></u> is a number that can be made by dividing two integers

so

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8 0
3 years ago
0.00035 + (4.2 x 10-5)
SCORPION-xisa [38]

Step-by-step explanation:

Solve the bracket first. starting with multiplication and then subtraction

0.00035 + (4.2 x 10-5)

0.00035 + (42-5)

0.00035 + 37

0.01295

7 0
3 years ago
The The U.S.based motorcycle manufacturer says that it expects to build 140,000 motorcycles this year, up from 126.000 last year
Black_prince [1.1K]

Answer:

The us based motorcycle manufacturer says that it expects to build 140,000 motorcycles this year up from 126,000 last year.

This means the increased production is

144,000 - 126,000 = 18,000

The percentage change in production can

be found using the formula as listed below

PERCENTAGE INCREASE = change / initial × 100

Substitute the values we get

18,000/126,000 × 100

14.28 = percentage increase

6 0
3 years ago
A dieter believes that the average number of calories in a homemade peanut better cookie is more than the average number of calo
zalisa [80]

The confidence interval formula is computed by:

Xbar ± Z s/ sqrt (n)

Where:

Xbar is the mean

Z is the z value

S is the standard deviation

N is the number of samples

 

So our given are:

90% confidence interval with a z value of 1.645

Sample size 40, 45

Mean 180, 179

Standard deviation 2, 4

 

So plugging that information in the data will give us a confidence interval:

For 1:

Xbar ± Z s/ sqrt (n)

= 180 ± 1.645 (2 / sqrt (40))

= 180 ± 1.645 (0.316227766)

= 180 ± 0.520194675

= 179.48, 180.52

For 2:

Xbar ± Z s/ sqrt (n)

= 179 ± 1.645 (4 / sqrt (45))

<span>= 179 ± 1.645 (0.596284794)</span>

therefore, the answer is letter b

8 0
3 years ago
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