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suter [353]
3 years ago
13

The following table shows the probability of rolling the numbers 1 through 7

Mathematics
1 answer:
Marysya12 [62]3 years ago
4 0

Answer:

2.0

Step-by-step explanation:

Couldn't really understnd what you wrote but I'll assume it's the standard deviation of a fair, 7-sided die

The standard deviation is just the square root of the variance (which is just the second moment minus the first moment squared)

The first moment (AKA the average is..)

\frac{1+2+3+4+5+6+7}{7}=4

The second moment is..

\frac{1^2+2^2+3^2+4^2+5^2+6^2+7^2}{7}=20

\sqrt{20-4^2}=2

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Please find the missing angle
Sergeu [11.5K]
360 degrees in a circle

360 degrees minus 90 degrees (the right angle of the square) = 270 degrees

270 degrees divided by 2 = 135 degrees

f = 135 degrees
8 0
3 years ago
Lawrence's parents pay him a base allowance of $20 per week and $3.55 per hour for extra chores he completes. Mrs. Johnson pays
sergey [27]

Answer:

7.15x + 3.55y + 20 = weekly income

Step-by-step explanation:

7.15x + 3.55y + 20 = weekly income


6 0
3 years ago
What is the equation of the line that is parallel to the line y =1/3 x + 4 and passes through the point (6, 5)?
lianna [129]

Answer:

y = \frac{1}{3} x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{3} x + 4 ← is in slope- intercept form

with slope m = \frac{1}{3}

Parallel lines have equal slopes , then

y = \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y = \frac{1}{3} x + 3 ← equation of parallel line

5 0
2 years ago
Suppose a couple planned to have three children. Let X be the number of girls the couple has.
sesenic [268]

Answer:

a) {GGG, GGB, GBG, BGG, BBG, BGB, GBB, BBB}

b) {0,1,2,3}

c)

P(X=2) = \dfrac{3}{8}

d)

P(\text{3 boys}) = \dfrac{1}{8}

Step-by-step explanation:

We are given the following in the question:

Suppose a couple planned to have three children. Let X be the number of girls the couple has.

a) possible arrangements of girls and boys

Sample space:

{GGG, GGB, GBG, BGG, BBG, BGB, GBB, BBB}

b) sample space for X

X is the number of girls couple has. Thus, X can take the values 0, 1, 2 and 3 that is 0 girls, 1 girl, 2 girls and three girls from three children.

Sample space: {0,1,2,3}

c) probability that X=2

P(X=2)

That is we have to compute the probability that couple has exactly two girls.

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

Favorable outcome: {GGB, GBG, BGG}

P(X=2) =\dfrac{3}{8}

d) probability that the couple have three boys.

Favorable outcome: {BBB}

P(BBB) = \dfrac{1}{8}

8 0
3 years ago
How many gallons do you have if you have 18 quarts
KIM [24]

Answer:

4.5 gallons.

Step-by-step explanation:

Multiply the volume value by 4.

In this case, you multiple 4.5 by 4 which equals 18.

4.5 gallons = 18 quarts

7 0
2 years ago
Read 2 more answers
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