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DerKrebs [107]
3 years ago
6

By using relative frequency, Barney estimates that the probability of his high school team winning a soccer match against the Sw

eet Valley High School team is 0.2. Barney’s calculation is based on the results of 30 matches the two teams played. How many of these 30 matches did Barney’s high school team win? 5 6 24 30
Mathematics
1 answer:
Mashcka [7]3 years ago
4 0
The answer is six. Relative frequency is a tool used for probability. It means using real-life outcomes to predict the probability of future outcomes. Since the realitive frequency of Barney's high school winning a match is 0.2, or \frac{1}{5} , that means that out of the past 30 matches only \frac{1}{5} were victories. \frac{1}{5} * 30 = 6, therefore only six out of the previous matches were wins.
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The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100 What is the st
cluponka [151]

Answer:

12.3

Step-by-step explanation:

Step 1

We find the mean

The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100

Mean = Sum of terms/Number of terms

Number of terms = 10

Mean = 61 + 67 + 81 + 83 + 87 + 88 + 89 + 90 + 98 + 100/10

Mean = 844/10

Mean = 84.4

Step 2

Standard deviation

The formula for sample standard deviation =

√(x - Mean)²/n - 1

= √[(61 - 84.4)² + (67 - 84.4)² + (81 - 84.4)² + (83 - 84.4)² + (87 - 84.4)² + (88 - 84.4)² + (89 - 84.4)² + (90 - 84.4)² + (98 - 84.4)² + (100 - 84.4)²]/10 - 1

=√ 547.56 + 302.76 + 11.56 + 1.96 + 6.76 + 12.96 + 21.16 + 31.36 + 184.96 + 243.36/10 - 1

= √1364.4/9

= √151.6

= 12.31259518

Approximately to the nearest tenth = 12.3

The standard deviation = 12.3

6 0
3 years ago
Which number line represents the solution set for the inequality -4(x + 3) ≤-2-2x?
IRISSAK [1]

Answer:

x<_-5

Step-by-step explanation:

-4(x+3)<_-2-2x

-4x-12<_-2-2x

-4x+2x<_-2+12

-2x<_10

-2x/-2<_10/-2

x<_-5

5 0
2 years ago
Whats the square route of 49?
Vlad [161]

Answer:

The square root of 49 is 7.

Step-by-step explanation:

To find the square root of 49, you would need to look at the possible multiplication equations. For example:

1 x 49 = 49

7 x 7 = 49

49 x 1 = 49

As you can see, 7 x 7 would have the square root of 49, which is 7.

7^2=49

.

In conclusion, the square root of 49 is 7

5 0
4 years ago
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8 0
3 years ago
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What is the rule for 5,10,20,40,80
Rom4ik [11]

The rule is that after the first term, every term after that is made out of
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4 years ago
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