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Ray Of Light [21]
3 years ago
11

Donnell practiced the piano 3 hours longer than Marcus.

Mathematics
1 answer:
emmasim [6.3K]3 years ago
5 0
Donnell practiced 7 hours while Marcus practiced 4 hours.
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Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation i
Mnenie [13.5K]

Answer:

The population mean = sample mean = x`= 67.5

Population standard deviation = 13.369

Sample standard deviation= 4.225

Step-by-step explanation:

AS the population mean is not given we will calculate it from the sample.

The mean of the sampling distribution is equal to the population mean .

The sample mean is calculated by

x`= ∑x/n= 75,+ 62, +69,+65,+66,+64, +67,+70,+74 + 63/10

x`=675/10= 67.5

The standard deviation of the sample is equal to

u = σ/ √n   where σ is the population standard deviation and n is the number of observations.

Calculating the sample mean

s= √∑xi²/n- (∑x/n)²

s= √(45741/10)- (675/10)²

s= 4.2249

σ= u*√n= 4.229 *√10

σ=13.360

3 0
2 years ago
Shaun collects coins. He has 18 quarters and 24 pennies in a jar. What is the ratio of quarters to pennies in a jar?
Nutka1998 [239]

Answer:

18:24 or simplest form is 3:4

Step-by-step explanation: If you don't need to simplify then it is 18:24, but if you simplify it by dividing 18 and 24 by 6, then the answer is 3:4 :)

5 0
3 years ago
Read 2 more answers
The sides of triangle ABC are 4.5feet 7.5 ft and 9 ft.The area is about 17 square feet. Explain how to use the are of triangle A
Nuetrik [128]
In order to get the area of a triangle using sides, the formula that we are going to use is Heron's formula. This is after from "Hero of Alexandria".
So here is the step by step process:
First, we calculate for s (half of the triangles perimeter) s = a+b+c divided by 2.
s = 6 + 10 + 12 / 2
s =28/2
s = 14
Now that we have the s, we can now calculate for the area.
A = square root of s(s-a)(s-b)(s-c)
A= square root of 14 x 8 x 4 x 2
A= square root of 896
A = 29.93
The area of triangle DEF is 29.93 square feet or 30 square feet. Hope this answer helps. 
5 0
3 years ago
Read 2 more answers
Given f (x) = 2x² +1evaluate f (-1).
soldi70 [24.7K]

Answer:

3

Step-by-step explanation:

f(x) = 2x^2 + 1

f(-1) means that wherever you see an x on the right hand side, you substitute -1.

f(-1) = 2(-1)^2 + 1 = 2 + 1 = 3

8 0
2 years ago
Read 2 more answers
HELP DUE IN 10 MINUTES!!
Pavlova-9 [17]

Answer:

x intercept = 26

y intercept = 6.5

Step-by-step explanation:

n/a

3 0
2 years ago
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