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4 years ago

8

there are 3 lines of people waiting to enter a museum each line has 12 people 4 people decide to leave how many people remain in

line

2 answers:

ss7ja [257]4 years ago

6 0

There are 12*3 people waiting in all. 36. 36- 4= 32

kumpel [21]4 years ago

3 0

32. (12×3)-4=32. I really hope that helps.

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What is three eighths times twenty four

lyudmila [28]

Answer:

9

Step-by-step explanation:

3/8 x 24 = 9

24 / 8 = 3

3 x 3 = 9

4 0

3 years ago

One sample has a mean of M= 6, and a second sample has a mean of M = 12. The two samples are combined into a single set of score

lakkis [162]

Answer:

a) 9

b) 10

c) 8

Step-by-step explanation:

We are given the following in he question:

Mean of sample A = 6

Mean of sample B = 12

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$\dfrac{\displaystyle\sum x_a}{n_a} = 6\\\\\dfrac{\displaystyle\sum x_b}{n_b} = 12$

a) original samples have n = 4 scores

$\dfrac{\displaystyle\sum x_a}{4} = 6,\sum x_a = 24\\\\\dfrac{\displaystyle\sum x_b}{4} = 12,\sum x_b = 48\\\\\text{Combined mean} = \displaystyle\frac{\sum x_a + \sum x_b}{4+4}=\frac{24 + 48}{4 + 4} = 9$

b) first sample has n = 3 and the second sample has n = 6

$\dfrac{\displaystyle\sum x_a}{3} = 6,\sum x_a = 18\\\\\dfrac{\displaystyle\sum x_b}{6} = 12,\sum x_b = 72\\\\\text{Combined mean} = \displaystyle\frac{\sum x_a + \sum x_b}{3+6}=\frac{18+72}{3+6} = 10$

c) first sample has n = 6 and the second sample has n = 3

$\dfrac{\displaystyle\sum x_a}{6} = 6,\sum x_a = 36\\\\\dfrac{\displaystyle\sum x_b}{3} = 12,\sum x_b = 36\\\\\text{Combined mean} = \displaystyle\frac{\sum x_a + \sum x_b}{6+3}=\frac{36+36}{6+3} = 8$

7 0

3 years ago

Write an expression that equivalent to (7^-8)(7^3)

I am Lyosha [343]

Answer:

(7^-8)(7^3) = 7^(-8+3) = 7^(-5)

6 0

3 years ago

On a team, 7 girls and 2 boys scored a total of 64 points. The difference between the number of points scored by the 7 girls and

Makovka662 [10]

Answer:

Each girl scores 8 points while each boy scores 4 points

Step-by-step explanation:

Let the number of point scored by the 7 girls and 2 boys be x and y respectively.

Thus, since 7 girls and 2 boys scored a total of 64 points, then;

7x + 2y = 64 - - - (1)

Also, difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Thus;

7x - 2y = 48 - - - (2)

Add eq(1) to (eq 2) to get;

14x = 64 + 48

14x = 112

x = 112/14

x = 8

Put 8 for x in eq(1) to get;

7(8) + 2y = 64

56 + 2y = 64

2y = 64 - 56

2y = 8

y = 8/2

y = 4

Thus,each girl scores 8 points while each boy scores 4 points

3 0

3 years ago

You use a garden hose to fill a wading pool. If the water level rises 11 centimeters every 6 minutes and you record the data poi

irina1246 [14]

Answer:

$y=22\ cm$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x -----> the number of minutes

y ----> the water level in centimeters

In this problem we have a proportional relationship between the variables x and y

Find the value of k

For x=6 min, y=11 cm

$k=11/6$ -----> the slope is equal to the constant of proportionality k

The linear equation is

$y=(11/6)x$

so

For (12,y)

we have

x=12 min

substitute in the equation and solve for y

$y=(11/6)12$

$y=22\ cm$

8 0

3 years ago