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Anna35 [415]
2 years ago
9

If the smaller of two numbers is one half of the larger number and the sum of the two numbers is 60 find the numbers

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
7 0

Larger number = X

Smaller number = 1/2X

X + 1/2X = 60

Simplify:

1 1/2x = 60

Divide both sides by  1 1/2:

x = 40

The numbers are 20 and 40

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A professor of statistics noticed that the marks in his course are normally distributed. He also noticed that his morning classe
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Answer:

0.3137 ; 0.2228

Step-by-step explanation:

Given a normal distribution :

Morning class :

Mean(Mm) = 71%

Standard deviation (Sm) = 12%

Afternoon class:

Mean(Ma) = 78%

Standard deviation (Sa) = 8%

M = Mm - Ma = (71 - 78) = - m7

S = √Sm + Sa = √12² + 8² = √208

A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class?

P(morning > afternoon) = p(morning - afternoon > 0)

Using:

Z = (0 - (-7)) / S

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Z = 0.4853628

P(Z > 0.49) = 0.3137

B)

What is the probability that the mean mark of four randomly selected students from a morning class is greater than the average mark of four randomly selected students from an afternoon class?

Using:

Z = (4 - (-7)) / S

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6 0
4 years ago
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Natasha_Volkova [10]

Answer:

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8 0
3 years ago
Read 2 more answers
How do I find the value of the variable?
Kryger [21]
93+36+m=180 combine like terms
93+36=129 rewrite
129+m=180 subtract 129 from both sides
180-129=51 rewrite
M=51 and to check this just plug 51 in for m
93+36+51=180
93+36=129
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180=180
Hope this helps have a nice nite!
3 0
4 years ago
The sum of two numbers is 72 and their difference is 40. Using elimination method
d1i1m1o1n [39]

Answer:

here's what we know:

a + b = 72

a - b = 26

We can use the elimination method to solve this problem:

a + b = 72

a - b = 26

---------------

2a = 98

Divide both sides by 2:

a = 49

So we now have:

49 + b = 72

and:

49 - b = 26

Subtract 49 from both sides:

b = 23

and

-b = -23 (multiply both sides by -1) → b = 23

Step-by-step explanation:

3 0
3 years ago
Solve each system by graphing. x-y= -2
Musya8 [376]
I believe your answer is--- > The slope = 1; x= -2; y=2
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