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3 years ago

If there are 40 boys and 16 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

Mathematics

1 answer:

Keith_Richards [23]3 years ago

5 0

Step-by-step explanation:

So bassically, when they say the word "to" in a ratio it means something to something right? So bassically, if it is boys to girls, we clearly know that there are 40 boys and 16 girls. So 40 boys to 16 girls, it would look like this

40:16. But thats not all! We can simplify this ratio. Think of it as a fraction that you are reducing to the minimum amount. The answers would be

40:16

20:8

10:4

5:2

*cannot be simplified any further*

Cheers!

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Hey do any of yall now what 65'6 x777

katrin2010 [14]

Answer:

If you mean 656, then the answer is 509,712.

Edit: If you're talking about measurements, then it would be 50,893 feet and 6 inches.

6 0

2 years ago

A manufacturer produces bearings, but because of variability in the production process, not all of the bearings have the same di

Lena [83]

Answer:

Proportion of all bearings falls in the acceptable range = 0.9973 or 99.73% .

Step-by-step explanation:

We are given that the diameters have a normal distribution with a mean of 1.3 centimeters (cm) and a standard deviation of 0.01 cm i.e.;

Mean, $\mu$ = 1.3 cm and Standard deviation, $\sigma$ = 0.01 cm

Also, since distribution is normal;

Z = $\frac{X -\mu}{\sigma}$ ~ N(0,1)

Let X = range of diameters

So, P(1.27 < X < 1.33) = P(X < 1.33) - P(X <=1.27)

P(X < 1.33) = P( $\frac{X -\mu}{\sigma}$ < $\frac{1.33 -1.3}{0.01}$ ) = P(Z < 3) = 0.99865

P(X <= 1.27) = P( $\frac{X -\mu}{\sigma}$ < $\frac{1.27 -1.3}{0.01}$ ) = P(Z < -3) = 1 - P(Z < 3) = 1 - 0.99865

= 0.00135

P(1.27 < X < 1.33) = 0.99865 - 0.00135 = 0.9973 .

Therefore, proportion of all bearings that falls in this acceptable range is 99.73% .

7 0

3 years ago

The area of a square notepad is 100 square centimeters how long is each side?

yan [13]

Answer:

10 cm

Step-by-step explanation

to fine area of square you multiply 2 sides together and get the area and 10x10 is 100

3 0

3 years ago

The sum of the ages of Berma, her mother Rinna and her father Erwin is 80. Two years from now, Rinna’s age will be 13 less than

jekas [21]

Answer: Berma is 5 years old

Rinna is 38 years old

Erwin is 37 years old

Step-by-step explanation:

Let x represent Berma's age

Let y represent Rinna's age

Let z represent Erwin's age

Since the sum of their ages is 80,

x + y + z = 80 - - - - - - -1

Two years from now, Rinna’s age will be 13 less than the sum of Erwin’s age and twice Berma’s age. This means that

y +2 = [ (z+2) + 2(x+2) ] - 13

y +2 = z + 2 + 2x + 4 - 13

2x - y + z = 13 + 2 - 4 -2

2x - y + z = 9 - - - - - - -2

Three years ago, 15 times Berma’s age was 5 less than the age of Rinna. It means that

15(x - 3) = (y - 3) - 5

15x - 45 = y - 3 - 5

15x - y = - 8 + 45

15x - y = 37 - - - - - - - -3

From equation 3, y = 15x - 37

Substituting y = 15x - 37 into equation 1 and equation 2, it becomes

x + 15x - 37 + z = 80

16x + z = 80 + 37 = 117 - - - - - - 4

2x - 15x + 37 + z = 9

-13x + 2 = -28 - - - - - - - - -5

subtracting equation 5 from equation 4,

29x = 145

x = 145/29 = 5

y = 15x - 37

y = 15×5 -37

y = 38

Substituting x= 5 and y = 38 into equation 1, it becomes

5 + 38 + z = 80

z = 80 - 43

z = 37

6 0

3 years ago

Sandra has 1/2 of cup of sugar. She needs 3/4 of a cup of sugar to complete a recipe. What fraction of the required amount does

ValentinkaMS [17]

Example: Set up proportions.

3/4 cups → 1 batch
x cups → 2 batches

x = 2(3/4) = 6/4 = 1 1/2 cups

3/4 cups → 1 batch
y cups → 9 batches

y = 9(3/4) = 6 3/4 cups

7 0

3 years ago