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harina [27]
3 years ago
14

The class size increased 25% to 40 students. What was the original class size?

Mathematics
2 answers:
vladimir1956 [14]3 years ago
6 0
The original class had 32 students. 25% of 32 is 8 and 32+8=40
Lady_Fox [76]3 years ago
6 0
Hello, I would love to help!

Alright. First, let's figure out what the problem means.

We need to find 25% of 40, then subtract that number from 40 to find your answer, because the class increased by 25%.

Okay, let's find 25% of 40.

To do that, we need to multitasking the decimal form of 25% (0.25) by 40.

0.25*40=10


Okay, so now we know the class increased by 10 kids. Let's subtract those kids from the new class to find the original class number.

40-10=30

So, the original class size was 30 students.

Answer= 30 students


Hope this helped, comment if you have any questions! :)
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3/8 of flower garden are red and 3/6 are yellow which is greater, less than or equal
kirill115 [55]

Answer:

3/8 < 3/6

This is because, when the common denominator (24) is found, the fractions are 9/24 (red) and 12/24 (yellow).

3 0
3 years ago
The distance between the library and the grocery store is 4 centimeters on the map. The actual distance is 12 kilometers. What i
Vsevolod [243]

Answer:

4 centimeters=12 km

1 centimeters = 12÷4

=3 km

3 0
3 years ago
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According to the Behavioral Risk Factor Surveillance System, 58% of all Americans adhere to a sedentary lifestyle (sedentary mea
sammy [17]

Answer:

Step-by-step explanation:

Hello!

The variable is X: number of sedentary people in a sample of 12.

This is a discrete variable with a binomial distribution and the probability of success is p=0.58. To determine if a variable has or not a binomial distribution you have to see if it follows the binomial criteria:

Binomial criteria:

1. The number of observation of the trial is fixed n=12

2. Each observation in the trial is independent, this means that none of the trials will affect the probability of the next trial. The activity habits on each person are independent of the others.

3. The probability of success in the same from one trial to another p=0.58

So X≈ Bi (n;ρ)

a. If you were to take a sample of n=12.

The expected value (mean) is E(X)= n*p= 0.58*12= 6.96

And the Standard deviation:

V(X)= n*p*q= 12*0.58*(1-0.58)= 2.92

√V(X)= 1.71

b. I'll calculate the probability of exactly 10 persons having sedentary habits using the table of cumulative probabilities, to do so, you have to look for the accumulated probability until 10 and subtract the accumulative probability until 9:

P(X=10) = P(X≤10) - P(X≤9)= 0.9859 - 0.9358= 0.050

I hope you have a SUPER day!

8 0
4 years ago
Select the correct answer from each drop-down menu. Rafael wants to construct a square inscribed in a circle. He divides the cir
Soloha48 [4]

The circle's square is an inscribed square.

  1. Rafael made his first error in (B) Dividing the circle in six parts.
  2. The square can be constructed by first (c) Drawing a diameter
<h3>How to spot Rafael's mistake?</h3>

CIRCLE: A circle is the collection of all points on a plane that are at a specified distance from another point (the radius) (the centre). A radius is any distance separating a point on a circle from its center. Any two radii are equal in length under the concept of a circle.

SQUARE: In geometry, a square is a flat shape having four equal sides & four right angles (90°). A square is an unique sort of parallelogram as well as an equilateral rectangle.

Estimation for the error;

The diameter of a circle must be drawn first when drawing the square inside of a circle, following the circle itself.

This indicates that Rafael made two mistakes: first, he divided the circle into six halves, forgetting that a square is produced by first sketching a diameter.

To know more about square is inscribed in a circle, here

brainly.com/question/8797902

#SPJ4

The complete question is -

Select the correct answer from each drop-down menu.

Rafael wants to construct a square inscribed in a circle. He divides the circle into six equal arcs and then draws line segments between four of the points. What was the first error Rafael made?

1. The first error Rafael made was

A.Connecting points F and E

B. Dividing the circle in six parts

C. Connecting points B and F

2. A square is constructed by first

A. Drawing a radius

B. Drawing a chord

C Drawing a diameter

5 0
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Can somebody help me with solve this question
nexus9112 [7]

Answer:

f⁻¹(y) = y^(-7/17)

Step-by-step explanation:

f(x) = x^(-17/7)

To find the inverse, switch x and y, and solve for y.

x = y^(-17/7)

x^(-7/17) = y

Therefore, f⁻¹(y) = y^(-7/17).

7 0
3 years ago
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