How do I solve this?

Mathematics

1 answer:

Len [333]3 years ago

7 0

5 Girls + 3 Boys =8 (sample size)

Probability of choosing 1 boy P(1 B) = 3/8

Probability of NOT CHOOSING ANY BOY = 1-3/8 =5/8

Now apply the binomial probability to choose 3 Boys:

8C3(3/8)³(5/8)⁵ ==>P(All boys) = 0.28

You might be interested in

You plan on financing a new road bike for $2,500. The bike shop offers a 13.5% APR for a 24 month loan. Use this information, an

Mila [183]

This question can be approached using the present value of annuity formula. The present value of annuity is given by $PV=P\left( \frac{1-\left(1+ \frac{r}{t} \right)^{-nt}}{ \frac{r}{t} } \right)$ , where: PV is the present value/amount of the loan, P is the periodic (monthly in this case) payment, r is the APR, t is the number of payments in one year and n is the number of years.

Given that the financing is for a new road bike of $2,500 and that the bike shop offers a 13.5% APR for a 24 month loan.

Thus, PV = $2,500; r = 13.5% = 0.135; t = 12 payments (since payment is made monthly); n = 2 years (i.e. 24 months)

Thus,

 $2500=P\left( \frac{1-\left(1+ \frac{0.135}{12} \right)^{-2\times12}}{ \frac{0.135}{12} } \right) \\ \\ =P\left( \frac{1-\left(1+ 0.01125 \right)^{-24}}{ 0.01125 } \right)=P\left( \frac{1-\left(1.01125 \right)^{-24}}{ 0.01125 } \right) \\ \\ =P\left( \frac{1-0.764531}{ 0.01125 } \right)=P\left( \frac{0.235469}{ 0.01125 } \right)=20.9306P \\ \\ \Rightarrow P= \frac{2500}{20.9306} =119.44$

Therefore, his monthly payment is $119.44

6 0

3 years ago

Fei Yen's dog eats 8 ounces of dog food each day. Fei Yen bought a 28-pound bag of dog food. How many 8-ounce servings are in a

mash [69]

Answer:

How many cups of food are in the 26 lb bag? There are about 4 cups per pound, so the 26 pound bag will contain approximately 104 cups.

Step-by-step explanation:

6 0

3 years ago

During a thunderstorm, 600 millimeters of rain fell in 30 minutes. How fast did the rain fall, in millimeters per minute?

madreJ [45]

20 milliliters per minute