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Margarita [4]
3 years ago
14

A researcher wishes to conduct a study of the color preferences of new car buyers. suppose that 50% of this population prefers t

he color green. if 16 buyers are randomly selected, what is the probability that exactly 7 buyers would prefer green? round your answer to four decimal places.
Mathematics
1 answer:
Amanda [17]3 years ago
3 0
We will use the Binomial probability formula to find the answer

The formula is given by ⁿCₓ (p)ˣ (1-p)ⁿ-ˣ

We have
n, the number of trial = 16
x, the sample we aim to try = 7
p, the probability of success = 0.5

Substitute these values into the formula

P(7) = ¹⁶C₇ (0.5)⁷ (1-0.5)¹⁶⁻⁷
P(7) = 0.1746 (rounded to four decimal places)
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Fittoniya [83]

Answer:

-2

Step-by-step explanation:

8 (-2x + 1) = 30 - (-4 + 3x)   Distribute

-16x + 8 = 30 + 4 - 3x  Combine like terms

-16x + 8 = 34 - 3x   Rearrange terms

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4 0
2 years ago
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(9-a+5a)/c (a=6,c=9)
SIZIF [17.4K]
\frac{9-a+5a}{c} = \frac{9-(6)+5(6)}{(9)}= \frac{3+30}{9} = \frac{33}{9} = \frac{11}{3}
7 0
3 years ago
Ella has a part-time job selling cupcakes at a cart in the park. She is paid $25 for a shift plus a fee of $0.25 for each cupcak
mojhsa [17]

9514 1404 393

Answer:

  A) t = 0.25c +25

  B) c = 52

  C) 3 weekday shifts

Step-by-step explanation:

A. The amount Ella earns is $0.25 per cupcake, so for c cupcakes, that is ...

  0.25c

In addition, she is paid $25, so her total amount she is paid is ...

  t = 0.25c +25

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B. In order to earn $38, the number of cupcakes sold must be ...

  38 = 0.25c +25

  13 = 0.25c . . . . . . subtract 25

  52 = c . . . . . . . . . multiply by 4

Ella sold 52 cupcakes to earn $38.

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C. On one of the average weekdays, Ella could be expected to earn ...

  t = 0.25(36) +25 = 34

Then for 3 weekday shifts, her earnings would be 3($34) = $102. (It would take Ella 3 weeks to earn $300.)

On one of the average weekend shifts, Ella could be expected to earn ...

  t = 0.25(62) +25 = 40.50

Then for 2 weekend shifts, her earnings would be 2($40.50) = $81. (It would take Ella 4 weekends to earn $300.)

Ella would earn $300 more quickly by working weekday shifts.

8 0
3 years ago
If f(x) = 5x - 1, then f^-1(x)=
lesantik [10]
F(-1)=5(-1)-1
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-6
Your answer is-6
7 0
3 years ago
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Can you answer this plzz
xxMikexx [17]

Answer:

that will be 4

Step-by-step explanation:

it goes by 4

3 0
3 years ago
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