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3 years ago

12

Samantha is testing the probability of multiple coin flips, and she expects the probability of flipping heads three times in a r

ow to be 12.5%. In this situation, what is 12.5% considered?
A: theoretical probability

B: outcome

C: experimental probability

D: event

1 answer:

liraira [26]3 years ago

6 0

Answer:

I think its A.

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The local skating rink pays Mary a fixed rate per pupil plus a base amount to work as a skating instructor. She earns $90 for in

liq [111]

The expressions for the payment made to Mary are,
(Monday) 90 = 15m + b
(Tuesday) 62 = 8m + b
where m and b are the fee per student and the base fee, respectively. Solving for m and b, the values are 4 and 30.
The equation that represents Mary's earning is
y = 4x + 30
For 20 students,
y = 4(20) + 30 = 110
For Lisa's earnings,
y = 8x + 15
Substituting 20,
y =8(20) + 15 = 175
Thus, Lisa would earn more than Mary by $65.

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4 years ago

Jack is placing glass bottles into boxes to recycle. He can fit 12 bottles in each box.

djverab [1.8K]

His estimation is not reasonable because if you can only fit 12 bottles in a box and he has 10 boxes then he could only fit 120 out of the 200 bottles so he is short on boxes

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3 years ago

A consumer products company found that 44% of successful products also received favorable results from test market research, w

Korolek [52]

Answer:

0.80
0.289
0.20
0.711

Step-by-step explanation:

Given:

$P(S\cap F)=0.44\\P(S\cap F^{c})=0.13\\P(S^{c}\cap F^{c}) = 0.32\\P(S^{c}\cap F) = 0.11$

The rule of total probability states that:

$P(A) = P(A\cap B) + P(A\cap B^{c})$

Compute the individual probabilities as follows:

$P(S) = P(S\cap F) + P(S\cap F^{c})\\=0.44+0.13\\0.57$

$P(S^{c}) = 1 - P(S)\\=1-0.57\\=0.43$

$P(F) = P(S\cap F) + P(S^{c}\cap F)\\=0.44+0.11\\=0.55$

$P(F^{c})=1-P(F)\\=1-0.55\\=0.45$

Conditional probability of an event A given B is:

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

Compute the value of $P(S|F)$ :

$P(S|F)=\frac{P(S\cap F)}{P(F)}\\=\frac{0.44}{0.55}\\=0.80$

Compute the value of $P(S|F^{c})$

$P(S|F^{c})=\frac{P(S\cap F^{c})}{P(F^{c})}\\=\frac{0.13}{0.45}\\=0.289$

Compute the value of $P(S^{c}|F)$

$P(S^{c}|F)=\frac{P(S^{c}\cap F)}{P(F}\\=\frac{0.11}{0.55}\\=0.20$

Compute the value of $P(S^{c}|F^{c})$

$P(S^{c}|F^{c})=\frac{P(S^{c}\cap F^{c})}{P(F^{c})}\\=\frac{0.32}{0.45}\\=0.711$

3 0

4 years ago

How did Plains Indians from different nations communicate with one another?

shusha [124]

Answer:

c

Step-by-step explanation:

8 0

3 years ago

1. In a small town, there are 83 clinics serving the population of 24,742. Each clinic serves

mario62 [17]

Answer:

each clinic serves about 300 people

Step-by-step explanation:

Population of 24742 is served by 83 clinics

Then each clinic will serve

24742/83 =298.157

≈ 300

8 0

4 years ago

Read 2 more answers