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slega [8]
3 years ago
5

given that the ratio of boys to girls in a choir group is 17:23, what is the relative frequency of the number of boys? ​

Mathematics
1 answer:
marusya05 [52]3 years ago
5 0

Answer:

50 Students

You can find the number of boys and girls by dividing the total, so there are a total of 20 boys and 30 girls in the choir of 50. The ratio 2 boys : 3 girls means we can divide the chorus into groups.

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What is the circumference of the circle? Show steps please!
Marina CMI [18]

Area = r^2 x PI

to find r take the square root of the area:

r = √100 = 10

The circumference of a circle is the diameter times PI.

The diameter is 2 times r = 2 x 10 = 20

The circumference = 20PI m

The answer is C.

5 0
3 years ago
What is the area of a sector with a central angle of 8 π/11 radians and a radius of 7.2 ft? use 3.14 for π and round your final
coldgirl [10]

Answer:

59.19 ft^2

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

A=\pi r^{2}

we have

r=7.2\ ft

\pi =3.14

substitute

A=(3.14)(7.2)^{2}

A=162.78\ ft^2

step 2

we know that

The area of a circle subtends a central angle of 2π radians

so

using proportion

Find out the area of a sector with a central angle of 8 π/11 radians

\frac{162.78}{2\pi }\frac{ft^2}{rad} =\frac{x}{(8\pi/11)}\frac{ft^2}{rad} \\\\x=162.78(8/11)/2\\\\x=59.19\ ft^2

7 0
3 years ago
A spinner has 6 equally divided sections labeled A, B, C, D, E and F. After spinning the spinner, a number cube is rolled. What
bagirrra123 [75]

Answer: \dfrac{2}{9}

Step-by-step explanation:

Given

The spinner has 6 equal sections A, B, C, D, E, and F

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There are two consonants in the given 6 letter

The probability of landing over a consonant  is

P_1=\dfrac{2}{6}

The number greater than 2 in a cube are 3,4,5,6

So, probability corresponding to it

P_2=\dfrac{4}{6}

So, the required probability is

\Rightarrow P=P_1\times P_2\\\Rightarrow P=\dfrac{2}{6}\times \dfrac{4}{6}\\\\\Rightarrow P=\dfrac{8}{36}\\\\\Rightarrow P=\dfrac{2}{9}

8 0
3 years ago
A trapezoid has interior angle measures of 90,90 ,75 and X degrees. Find the measure of angle x in the trapezoid. Enter only the
alexgriva [62]

The angles inside a trapezoid add up to equal 360 degrees

X = 360-90-90-75 = 105 degrees.

7 0
3 years ago
A college student has 700$ in their account she spends $165 from the account on books and then deposits $190 in the account how
adell [148]

Hello,

I hope so far you and your family are staying safe and healthy!

We need to solve this step by step.

The college student has $700 in their account.  But then she spends $165 on books from that money. So we need to Subtract that.

700 - 165 =535

However, later on, she deposits $190 to the same account. So we need to take the remain we had and add it to the new amount.

535 + 190 = 725

Thus,

There are $725 in the account.

I wish you all the best!

~Gary

4 0
3 years ago
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