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algol [13]
2 years ago
9

One season, the Cougars won 20 games. They played a total of 25 games.

Mathematics
1 answer:
abruzzese [7]2 years ago
6 0

Answer:

The team lost 5 games

Step-by-step explanation:

Hope i helped

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If a coin is flipped three times what is the probability of getting heads at least twice. AND PLS HELP I NEED ANSWERS FOR A 21 P
PSYCHO15rus [73]

Answer:2/3

Step-by-step explanation: the chances are two outa three chances if this dont help at least i tried

5 0
2 years ago
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In a class of 30 students (x+10) study algebra, (10x+3) study statistics, 4 study both algebra and statistics. 2x study only alg
Vladimir [108]

Answer:

1. The Venn diagrams are attached

2. When the statistics students number = 10·x + 3, we have;

The number of students that study

a. Algebra = 128/11

b. Statistic = 213/11

When the statistics students number = 2·x + 3, we have;

The number of students that study

a. Algebra = 16

b. Statistic = 15

Step-by-step explanation:

The parameters given are;

Total number of students = 30

Number of students that study algebra n(A) = x + 10

Number of students that study statistics n(B) = 10·x + 3

Number of student that study both algebra and statistics n(A∩B) = 4

Number of student that study only algebra n(A\B) = 2·x

Number of students that study neither algebra or statistics n(A∪B)' = 3

Therefore;

The number of students that study either algebra or statistics = n(A∪B)

From set theory we have;

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 30 - 3 = 27

Therefore, we have;

n(A∪B) = x + 10 + 10·x + 3 - 4 = 27

11·x+13 = 27 + 4 = 31

11·x = 18

x = 18/11

The number of students that study

a. Algebra

n(A) = 18/11 + 10 = 128/11

b. Statistic

n(B) = 213/11

Hence, we have;

n(A - B) = n(A) - n(A∩B) = 128/11 - 4 = 84/11

Similarly, we have;

n(B - A) = n(B) - n(A∩B) = 213/11 - 4 = 169/11

However, assuming n(B) = (2·x + 3), we have;

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 30 - 3 = 27

Therefore, we have;

n(A∪B) = x + 10 + 2·x + 3 - 4 = 27

2·x+3 + x + 10= 27 + 4 = 31

3·x = 18

x = 6

Therefore, the number of students that study

a. Algebra

n(A) = 16

b. Statistics

n(B) = 15

Hence, we have;

n(A - B) = n(A) - n(A∩B) = 16 - 4 = 12

Similarly, we have;

n(B - A) = n(B) - n(A∩B) = 15 - 4 = 11

The Venn diagrams can be presented as follows;

6 0
3 years ago
Write an expression to show .... Five times the difference of 17 and 8
UkoKoshka [18]

Answer:

5(17-8)

Step-by-step explanation:

5(17-8)

5(9)

=45

4 0
3 years ago
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An object is moving at a speed of 920 yards every 3.5 hours Express the speed in miles per week
Kaylis [27]

Answer:

25.05 miles per week

Step-by-step explanation:

We know that,

1 mile = 1760 yards

⇒ 920 yards = 0.522 mile

1 week = 168 hour

We need to find ts speed in miles per week.

Speed = distance/time

v=\dfrac{920\ \text{yards}}\\\\v=\dfrac{0.522\ \text{miles}}{\dfrac{3.5}{168}\ \text{week}}\\\\v=25.05\ \text{miles/week}

So, the speed of the object is 25.05 miles per week.

6 0
3 years ago
Given the ratio of 8 ounces to 1 cup, how many ounces are in 4 cups?
malfutka [58]

Answer:

There are 32 ounces in 4 cups

6 0
2 years ago
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