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SSSSS [86.1K]
2 years ago
10

George is shooting free throws before basketball practice. He makes 18 out of the 20 shots he attempts. How many shots would you

expect him to make if he attempted 100 free throws?
Mathematics
1 answer:
Marysya12 [62]2 years ago
7 0

Answer: 90

Step-by-step explanation: We know that, every 20 shots he attempts, he makes 18. He has a 90% success rate. If he attempts 100 free throws, he would make 90% of them, which is 90!

Another way to solve it is note that 100 is 20*5, so 18*5 is 90, which is also our answer.

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2 years ago
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Describe the relationship between the terms in each arithmetic sequence. Then
shtirl [24]

Answer:

(a) The sum of the previous term and 9

(b) 36, 45, 54

Step-by-step explanation:

Given

Sequence: Arithmetic Progression

0,9,18,27

Solving (a): Describe the relationship in each term

First, we calculate the common difference (d)

In arithmetic progression:

d = T_n - T_{n-1}

Take n as 2

d = T_2 - T_{2-1}

d = T_2 - T_{1}

Where

T_2 = 9\ and\ T_1 = 0

d =9-0

d =9

<em>The relationship is: The sum of the previous term and 9</em>

Solving (b): The next three terms

As said in (a) each term is derived from a sum of 9 and the previous term

So, we have:

Next\ Term = 27 + 9 = 36

Next = 36 + 9 = 45

Next = 45 + 9 = 54

Hence, the next three terms are: 36, 45 and 54

4 0
2 years ago
he U.S. Bureau of Labor Statistics reports that the average annual expenditure on food and drink for all families is $5700. Assu
Papessa [141]

Answer:

87.08% percentage of families spend more than $4000 annually on food and drink

Step-by-step explanation:

Given -

average annual expenditure on food and drink for all families is $5700

Mean  (\nu) = 5700

standard deviation (\sigma ) = 1500

Let X be the no of families spend annually on food and drink

percentage of families spend more than $4000 annually on food and drink =

P(X > 4000)  = P(\frac{X - \nu }{\sigma }> \frac{ 4000 - 5700}{1500})

                      =  P(Z > - 1.13)     Using  (Z = \frac{X - \nu }{\sigma })

                      =  1 - P(Z

                      = 1 - .1292

                      = .8708

                       = 87.08%

7 0
3 years ago
There is a direct path from Gayle's house to the store. Due to construction, the direct route is closed and Gayle must travel 6
Elina [12.6K]

Answer:

<em><u>c2=10</u></em>

Step-by-step explanation:

8^2+6^2=c2

64+36=120

c2=square root of 120..which is 10

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3 years ago
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3 years ago
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