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dmitriy555 [2]
3 years ago
6

A teacher has 396 pieces of candy. If there are 44 students, 6 of whom are boys, if divided evenly, how many pieces of candy wil

l each student get?
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
4 0

Answer:

9 pieces of candy.

Step-by-step explanation:

The information about how many boys there are is irrelevant, so we can just ignore that.

The important information is that the teacher has 396 pieces of candy and that it is split between 44 students equally.

So, to solve, we just do 396 / 44 = 9.

Therefore, each student will get 9 pieces of candy.

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What is an equation in slope-intercept form of the line that passes through (6, −7)
Ber [7]

Answer:

y = -7/6x

Step-by-step explanation:

y - y1 = m*(x-x1)

m=y/x

y - (-7) = -7/6*(x-6)

y + 7 = -7/6x + 7

y = -7/6x + 7 - 7

y = -7/6

4 0
3 years ago
Calculate the value of the sample variance. Round your answer to one decimal place. 9_5,9_5,2,9_5
Ugo [173]

Answer:

s^2 = 0.01

Step-by-step explanation:

Given

Values: 9/5, 9/5, 2, 9/5

Required

Calculate the sample variance

Sample variance is calculated using:

s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}

First, we calculate the mean

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

\overline x = \frac{9/5 + 9/5 + 2 + 9/5}{4}

\overline x = \frac{7.4}{4}

\overline x = 1.85

s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1} becomes

s^2 = \frac{(9/5 - 1.85)^2+(9/5 - 1.85)^2+(2 - 1.85)^2+(9/5 - 1.85)^2}{4 - 1}

s^2 = \frac{(-0.05)^2+(-0.05)^2+(0.15)^2+(-0.05)^2}{4 - 1}

s^2 = \frac{0.0025+0.0025+0.0225+0.0025}{3}

s^2 = \frac{0.03}{3}

s^2 = 0.01

<em>Hence, the variance is 0.01</em>

5 0
2 years ago
Gianna drove 176 miles in 8 hours. On average, how fast did she drive in miles per hour? Express your answer in simplest form.
vesna_86 [32]

Answer:

22

Step-by-step explanation:

178 divide by 8   = 22

4 0
3 years ago
The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi
Rom4ik [11]

Answer:

<em>The base is 24 cm long.</em>

Step-by-step explanation:

<u>Equations</u>

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

\displaystyle A=\frac{bh}{2}

\displaystyle A=\frac{(h+9)h}{2}

And its value is 180:

\displaystyle \frac{(h+9)h}{2}=180

Multiplying by 2:

(h+9)h=360

Operating:

h^2+9h-360=0

Factoring:

(h-15)(h+24)=0

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

7 0
3 years ago
Which graph best represents y = −x2 + 6x − 1?
iVinArrow [24]

Answer:

which graph best represents y = -x2 + 6x - 1?

Step-by-step explanation:

hich is the graph of the linear function that is represented by the equation y= 1/2x-2 ?

8 0
2 years ago
Read 2 more answers
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