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KatRina [158]
2 years ago
12

Jake wants to know if his basketball team has gotten better. Last season, Jake's team won 10 out of 20 games. This season, his t

eam won 15 out of 25 games. Which season had the greater ratio of games won to total games?
Mathematics
1 answer:
kifflom [539]2 years ago
7 0

Answer:

This season

Step-by-step explanation:

Lowest Common Multiple (LCM) of 20 and 25 = 100

10/20 * 5/5 = 50/100 = 5/10

15/25 * 4/4 = 60/100 = 6/10

5/10 < 6/10

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The temperature of a cooling liquid over time can be modeled by the exponential function T(x) = 60(1/2)^(x/30) + 20, where T(x)
Alexus [3.1K]
Based on the scenario, the initial temperature would be :

28 = (60) (1/2)^x/30 + 20
 
(60) (1/2)^0/30 + 20 = 60 + 20 = 

80 C

Hope this helps
6 0
3 years ago
) An instructor gives his class a set of 18 problems with the information that the next quiz will consist of a random selection
RSB [31]

Answer:

The probability the he or she will answer correctly is 1.5%

Step-by-step explanation:

In all, there are 18 problems. In this question, the order of which the problems are sorted for the quiz makes no difference. For example, if the question A of the quiz is P1 and question B P2, and question A P2 and question B P1, it is the same thing.

There are 18 problems and 9 are going to be selected. So, there is going to be a combination of 9 elements from a set of 18 elements.

A combination of n elements from a set of m objects has the following formula:

C_{(m,n)} = \frac{m!}{n!(m-n)!}

In this question, m = 18, n = 9. So the total number of possibilities is:

T_{p} = C_{(18,9)} = \frac{18!}{9!(18-9)!} = 48620

Now we have to calculate the number of desired outcomes. This number is a combination of 9 elements from a set of 13 elements(13 is the number of problems that the student has figured out how to do).

Now, m = 13, n = 9. The number of desired possibilities is:

D_{p} = C_{(13,9)} = \frac{13!}{9!(13-9)!} = 715

The probability is the number of desired possibilities divided by the number of total possibilities. So

P = \frac{715}{48620} = 0.015 = 1.5%

The probability the he or she will answer correctly is 1.5%

3 0
3 years ago
Hep asappppppppppppp
schepotkina [342]

Answer:

(6 , -1)

Step-by-step explanation:

2x+  y  = 11   ----------------(I)

y = 11 - 2x --------------------(II)

\frac{1}{2}x - 5y = 8

Multiply the whole equation by 2

2*\frac{1}{2}x -2*5y = 2*8

x - 10y = 16 --------------------(III)

Substitute y = 11- 2x in equation (III)

x - 10(11 - 2x) = 16

x - 110 + 20x = 16

21x - 110 = 16

21x = 16 +110

21x = 126

x = 126/21

x = 6

Plugin x = 6 in equation (II)

y = 11 - 2*6

y = 11 - 12

y = -1

5 0
2 years ago
The GCF of any two even numbers is always even. Determine whether the statement is true or false. If true, explain why. If false
choli [55]
True because<span> the common factor to both numbers would be an even number.

</span>
4 0
3 years ago
What is the length of the hypotenuse of the triangle?<br> A<br> 7 cm<br> B<br> 3 cm
photoshop1234 [79]

Answer

The answer would be 58

Step-by-step explanation:

3 to the power of 2 is 9

7 to the power of 2 is 49

add that you get 58

3 0
3 years ago
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