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Mkey [24]
1 year ago
12

A basketball team played six games. In those games, the team won by 7 points, lost by 7, won by 8, won by 9, lost by 4, and won

by 5. What was the mean difference in game scores over the six games? ​
Mathematics
1 answer:
Gemiola [76]1 year ago
7 0

Based on the difference in scores for the basketball team over the six games, the mean difference in scores was 3

<h3>How to find the mean difference in scores?</h3>

The basketball team had 6 games and in these games, their scores were listed as differences in game scores.

The mean of these differences in scores can be found by adding the differences where they won and subtracting the differences where they lost and then dividing by the number of games:

The mean difference in game scores is:

= (7 - 7 + 8 + 9 - 4 + 5) / 6

= 18 / 6

= 3

Find out more on the mean differences at brainly.com/question/11323789

#SPJ1

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Can anyone help me solve these math problems?
Veseljchak [2.6K]

Answer:

  1. x = 2
  2. r = 48
  3. 3536 ft
  4. √10
  5. 10°

Step-by-step explanation:

1. The Pythagorean theorem applies, so the sum of the squares of the legs is equal to the square of the hypotenuse.

  x² + (x+3)² = (√29)²

  2x² +6x +9 = 29 . . . . . . eliminate parentheses, collect terms

  2x² +6x -20 = 0 . . . . . . subtract 29

  x² +3x -10 = 0  . . . . . . . . divide by 2

  (x +5)(x -2) = 0 . . . . . . . . factor

x = -5 or +2 . . . . . . . . . . . . values that make the factors zero (-5 is extraneous)

The value of x is 2.

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2. Even though the figure is drawn incorrectly the Pythagorean theorem still applies. (The second attachment shows the circle in the right place. The figure is not to scale.)

  14² + r² = (r+2)²

  196 + r² = r² +4r +4 . . . . eliminate parentheses

  192 = 4r . . . . . . . . . . . . . .subtract r²+4 from both sides

  48 = r . . . . . . . . . . . . . . . . divide by 4

The value of r is 48.

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3. You will recognize that the triangle involving the distance above the ground, the distance along the ground, and the straight-line bullet path is an isosceles right triangle. So, the hypotenuse is √2 times the length of either leg. The path length of the bullet is ...

  (2500 ft)√2 ≈ 3536 ft

__

4. see below for the diagram

The length to the terminal point is found using the Pythagorean theorem:

  d = √(3² +(-1)²) = √10

The distance from the origin to the terminal point is √10 ≈ 3.16.

__

5. Angles "a" and "8a" total 90°, so we have ...

  a + 8a = 90°

  9a = 90° . . . . . . . . collect terms

  a = 10° . . . . . . . . . . divide by 9

The value of a is 10°.

8 0
3 years ago
Write an equation parallel to the function y=2x+3 and goes through the point (1, -4)
sergey [27]

Answer:

y=2x-6

Step-by-step explanation:

Parallel functions are functions with the same slopes but are in different positions on the coordinate plane (for this case it means that they have different y- intercepts)

So this means that the function will have a slope of 2

To find the equation we must plug in the value (1, -4) and find the new y-intercept(c)

(-4)= 2(1)+c

-4-2=c

-6=c

This means that the parallel function that goes through the point (1,-4) is

y=2x-6

6 0
3 years ago
How many licks does it take to get to the center of a tootsie pop ?
Bess [88]

Answer:

411

Step-by-step explanation:

Yet another study by the University of Michigan concluded that it takes 411 licks to get to the center of a Tootsie Pop. A 1996 study by undergraduate students at Swarthmore College concluded that it takes a median of 144 licks (range 70–222) to get to the center of a Tootsie Pop.

7 0
1 year ago
Colton gave out a survey to some students in his school about their favorite color. 470 of those surveyed said their favorite co
Tanzania [10]

Answer:

500

Step-by-step explanation:

Convert percent to decimal:

94%=

100

94

​

=0.94

Move decimal 2 places to the left

Multiplying the decimal by the whole gives us the part:

0.94x=

0.94x=

470

0.94

0.94x = 0.94

470

​

Divide both sides by 0.94x=

500

7 0
2 years ago
Side MN = 6, side OM = 9, side PQ = 6, and side RP = 9. What side corresponds to side NO and can be used to show that ΔMNO ≅ ΔPQ
kirill115 [55]
If triangle MNO is congruent to triangle PQR then side OM is congruent to side RP and equals 9
3 0
3 years ago
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