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tigry1 [53]
3 years ago
6

A large high school offers AP Statistics and AP Calculus Among the seniors in this school 65% take AP Statistics, 45% take AP Ca

lculus and 30% take both If a señor is randomly selected, what the probability that they are in AP Statistics or AP Calculus but not both
Mathematics
1 answer:
Igoryamba3 years ago
4 0

Answer:

0.8

Step-by-step explanation:

P(AP statistics) = 65%

P(AP Calculus) = 45%

P(AP statistics n AP Calculus) = 30%

Probability of AP statistics or AP Calculus but not both :

Probability of event A or B :

P(AUB) = p(A) + p(B) - p(AnB)

P(AP statistics U AP Calculus) = P(AP statistics) + P(AP Calculus) - P(AP statistics n AP Calculus)

= 0.65 + 0.45 - 0.30

= 0.8

= 80%

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Add: 7/8 + 5/6 .......
Rashid [163]

Answer:

1 17/24

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Exact Form:

41/24

Decimal Form:

1.7083

Mixed Number Form:

1 17/24

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3 years ago
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Find all the missing elements:
pentagon [3]

Answer:

B = 34.2°

C = 58.2° or 121.8°

c= 10.6

Step-by-step explanation:

Step 1

Finding c

We calculate c using Pythagoras Theorem

c²= a² + b²

c = √a² + b²

a= 8, b = 7

c = √8² + 7²

c = √64 + 49

c = √(113)

c = 10.630145813

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Step 2

Find B

We solve this using Sine rule

a/sin A = b/sin B

A = 40°

a = 8

b = 7

Hence,

8/sin 40° = 7/sin B

8 × sin B = sin 40° × 7

sin B = sin 40° × 7/8

B = arc sin (sin 40° × 7/8)

B ≈34.22465°

Approximately = 34.2°

Step 3

We find C

Find B

We solve this using Sine rule

b/sin B = c/sin C

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Hence,

7/sin 34.2° = 10.6/sin C

7 × sin C = sin 34.2 × 10.6

sin C = sin 34.2° × 10.6/7

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C = arcsin(0.85)

C= 58.211669383

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Answer:

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The graph of the function is as shown in the attached figure.

As shown, we can deduce the following:

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