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11111nata11111 [884]
2 years ago
11

In a certain Algebra 2 class of 26 students, 16 of them play basketball and 9 of them play baseball. There are 5 students who pl

ay both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Mathematics
2 answers:
Nastasia [14]2 years ago
8 0

Answer:

The answer is 11 percent.

Olegator [25]2 years ago
7 0

Answer:

  10/13 ≈ 76.9%

Step-by-step explanation:

P(A∪B) = P(A) +P(B) -P(A∩B)

P(plays basketball ∪ plays baseball)

   = P(plays basketball) +P(plays baseball) -P(plays both)

P(plays basketball ∪ plays baseball) = 16/26 +9/26 -5/26 = 20/26 = 10/13

P(plays basketball or baseball) = 10/13 ≈ 76.9%

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10 times as much as blank is 1/10 of 900
ludmilkaskok [199]

9 times 10 is 90.

90 is 1/10 of 900.

The answer is 9.

4 0
3 years ago
What are the measures of angles M and N?
romanna [79]

Answer:

mM = 113 and mN = 61

Step-by-step explanation:

In a Cyclic quadrilateral, the rule states that:

The sum opposite interior angles is equal to 180°

In the above diagram, we have cyclic quadrilateral KLMN

According to the rule stated above:

Angle K is Opposite to Angle M

So, Angle K + Angle M = 180°

Angle K = 67°

67° + Angle M = 180°

Angle M = 180° - 67°

Angle M = 113°

Angle L is Opposite to Angle N

so Angle L + Angle N = 180°

Angle L is given as = 119°

119° + Angle N = 180°

Angle N = 180° - 119°

Angle N = 61°

Therefore, Angle M = 113° and Angle N = 61°

7 0
2 years ago
A point H is 20m away from the foot of a tower on the same horizontal ground. From the point H, the angle of elevation of the po
astra-53 [7]

Answer:

a. See Attachment 1

b. PT = 12.3\ m

c. HT = 31.1\ m

d. OH = 28.4\ m

Step-by-step explanation:

Calculating PT

To calculate PT, we need to get distance OT and OP

Calculating OT;

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

tan50 = \frac{OT}{20}

Multiply both sides by 20

20 * tan50 = \frac{OT}{20} * 20

20 * tan50 = OT

20 * 1.1918 = OT

23.836  = OT

OT = 23.836

Calculating OP;

We have to consider angle 30, distance OH and distance OP

The relationship between these parameters is;

tan30 = \frac{OP}{20}

Multiply both sides by 20

20 * tan30 = \frac{OP}{20} * 20

20 * tan30 = OP

20 * 0.5774= OP

11.548 = OP

OP = 11.548

PT = OT - OP

PT = 23.836 - 11.548

PT = 12.288

PT = 12.3\ m (Approximated)

--------------------------------------------------------

Calculating the distance between H and the top of the tower

This is represented by HT

HT can be calculated using Pythagoras theorem

HT^2 = OT^2 + OH^2

Substitute 20 for OH and OT = 23.836

HT^2 = 20^2 + 23.836^2

HT^2 = 400 + 568.154896

HT^2 = 968.154896

Take Square Root of both sides

HT = \sqrt{968.154896}

HT = 31.1\ m <em>(Approximated)</em>

--------------------------------------------------------

Calculating the position of H

This is represented by OH

See Attachment 2

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

tan50 = \frac{OH}{OT}

Multiply both sides by OT

OT * tan50 = \frac{OH}{OT} * OT

OT * tan50 = {OH

OT * 1.1918 = OH

Substitute OT = 23.836

23.836 * 1.1918 = OH

28.4= OH

OH = 28.4\ m<em> (Approximated)</em>

5 0
2 years ago
What number makes the equation true? [???] ÷ 8 = 4​
Elina [12.6K]

Answer:

32

Step-by-step explanation:

math

................

3 0
2 years ago
Read 2 more answers
In a 3 hour examination of 350 questions, there are 50 mathematics problems. if twice as much time should be allowed for each ma
Margarita [4]

Answer: 7 minutes

Step-by-step explanation:

350/50=7

3*2.3333=7

3 0
3 years ago
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