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Mkey [24]
3 years ago
15

A day care program has an average daily expense of $75.00. The standard deviation is $5.00. The owner takes a sample of 64 bills

. What is the probability the mean of his sample will be between $70.00 and $80.00? Step 1. Calculate a z-score for $70.00 - Step 2. Give the probability for step 1.
Mathematics
1 answer:
SpyIntel [72]3 years ago
6 0
I think the answer is 61 dont quote me on it im awful at math
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PLEASE I NEED HELP WITH THIS ONE!!!
krek1111 [17]

Answer:

B

Step-by-step explanation:

Because it’s the right answer

7 0
3 years ago
At a certain gas station, 40% of the customers use regular gas (A1), 35% use plus gas (A2), and 25% use premium (A3). Of those c
grandymaker [24]

Answer:

a.)

P( A₂ ∩ B ) = P(B | A₂) × P(A₂)

P( A₂ ∩ B ) = 0.40 × 0.35

P( A₂ ∩ B ) = 0.14

b.)

P(B) = P( A₁ ∩ B )  + P( A₂ ∩ B ) + P( A₃ ∩ B )

P(B) = 0.08 + 0.14 + 0.125

P(B) = 0.345

c.)

For regular gas:

P(A₁ | B) = P( A₁ ∩ B ) / P(B)

P(A₁ | B) = 0.08 / 0.345

P(A₁ | B) = 0.232

For plus gas:

P(A₂ | B) = P( A₂ ∩ B ) / P(B)

P(A₂ | B) = 0.14 / 0.345

P(A₂ | B) = 0.406

For premium gas:

P(A₃ | B) = P( A₃ ∩ B ) / P(B)

P(A₃ | B) = 0.125 / 0.345

P(A₃ | B) = 0.362

Step-by-step explanation:

We are given the following information

40% of the customers use regular gas (A2)

P(A₁) = 0.40

35% use plus gas (A2)

P(A₂) = 0.35

25% use premium (A3)

P(A₃) = 0.25

Of those customers using regular gas, only 20% fill their tanks (event B).

P(B | A₁) = 0.20

Of those customers using plus, 40% fill their tanks

P(B | A₂) = 0.40

Whereas of those using premium, 50% fill their tanks.

P(B | A₃) = 0.5

a) What is the probability that the next customer will request plus gas and fill their tank?

We are asked to find P(A₂ ∩ B) = ?

Recall that Multiplicative law of probability is given by

P( A₂ ∩ B ) = P(B | A₂) × P(A₂)

P( A₂ ∩ B ) = 0.40 × 0.35

P( A₂ ∩ B ) = 0.14

b) What is the probability that the next customer fills the tank?

We are asked to find P(B) = ?

P(B) = P( A₁ ∩ B )  + P( A₂ ∩ B ) + P( A₃ ∩ B )

P( A₂ ∩ B ) is already calculated, we need to calculate

P( A₁ ∩ B ) and P( A₃ ∩ B )

So,

P( A₁ ∩ B ) = P(B | A₁) × P(A₁)

P( A₁ ∩ B ) = 0.20 × 0.40

P( A₁ ∩ B ) = 0.08

P( A₃ ∩ B ) = P(B | A₃) × P(A₃)

P( A₃ ∩ B ) = 0.50 × 0.25

P( A₃ ∩ B ) = 0.125

Finally,

P(B) = P( A₁ ∩ B )  + P( A₂ ∩ B ) + P( A₃ ∩ B )

P(B) = 0.08 + 0.14 + 0.125

P(B) = 0.345

c) If the next customer fills the tank, what is the probability that the regular gas is requested? Plus? Premium

For regular gas:

P(A₁ | B) = P( A₁ ∩ B ) / P(B)

P(A₁ | B) = 0.08 / 0.345

P(A₁ | B) = 0.232

For plus gas:

P(A₂ | B) = P( A₂ ∩ B ) / P(B)

P(A₂ | B) = 0.14 / 0.345

P(A₂ | B) = 0.406

For premium gas:

P(A₃ | B) = P( A₃ ∩ B ) / P(B)

P(A₃ | B) = 0.125 / 0.345

P(A₃ | B) = 0.362

5 0
4 years ago
No one has answered this one
krek1111 [17]

Answer:

\displaystyle x = \frac{25\sqrt{2}}{2}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

Angle θ = 45°

Adjacent Leg = 25

Hypotenuse = <em>x</em>

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [cosine]:                                                                   \displaystyle cos(45^\circ) = \frac{x}{25}
  2. [Multiplication Property of Equality] Multiply 25 on both sides:                 \displaystyle 25cos(45^\circ) = x
  3. Rewrite:                                                                                                         \displaystyle x = 25cos(45^\circ)
  4. Evaluate:                                                                                                         \displaystyle x = \frac{25\sqrt{2}}{2}
7 0
3 years ago
Cruz is training to compete in a triathlon. He left his house at 6:00 and ran until 7:30. Then he rode his bike until 9:45. He c
alexandr402 [8]

Answer: Cruz's biking is 16 miles per hour and his running speed is 10 miles per hour.

Step-by-step explanation:

Let x represent Cruz's speed when running.

He left his house at 6:00 and ran until 7:30. This means that the time spent while running is 1hour 30 minutes = 1.5 hours.

Distance = speed × time

Distance covered while running would be

1.5 × x = 1.5x

Then he rode his bike until 9:45. This means that the time he spent riding his bike is 2hours 15 minutes = 2 hours + 15/60 = 2.25 hours

His speed when biking was 1.6 times his speed when running. It means his speed when biking would be

1.6 × x = 1.6x

Distance covered while riding would be

1.6x × 2.25 = 3.6x

He covered a total distance of 51 miles. Therefore,

1.5x + 3.6x = 51

5.1x = 51

x = 51/5.1 = 10 miles per hour.

His biking speed would be

1.6 × 10 = 16 miles per hour.

5 0
3 years ago
Ms. Good has a bag of 15 marbles. Three are blue, six are red, and six are yellow. What is the probability that she picks a yell
Delicious77 [7]

Answer:

the chances of her picking a yellow one is 6 in 15

Step-by-step explanation:

all you have to do is divide the color that you are trying to find the probability of by the amount of that object is if that makes sense.

5 0
3 years ago
Read 2 more answers
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