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maxonik [38]
2 years ago
14

A gym teacher has a large canvas bag that contains 8 tennis balls, 2 volleyballs, 1 basketball, 3 baseballs, and 5 footballs. If

you reach into the bag at random, what is the probability that you select a football?
A.5/18
B. 5/19
C. 5/14
D. 8/19
Mathematics
1 answer:
vlabodo [156]2 years ago
8 0

The total amount of balls there are is : 8 + 2 + 1 + 3 + 5 = 19 (balls)

There are 5 footballs in the bag, so the probability of you selecting a football is 5 : 19 = 5/19

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Harrizon [31]

Answer: 0.0081

Step-by-step explanation:

Let X be the number of rafts.

Given : The mean number of rafts floating : \lambda=0.4 rafts per day .

Then , for 7 days the number of rafts = \lambda_1=\lambda\times 7=0.4\times7=2.8 rafts per day .

The formula to calculate the Poisson distribution is given by :_

P(X=x)=\dfrac{e^{-\lambda_1}\lambda_1^x}{x!}

Now, the  probability that they will have to wait more than a week is given by :-

P(X>7)=1-P(X\leq7)\\\\=1-(P(0)+P(1)+P(2)+P(3)+P(4)+P(5)+P(5)+P(6)+P(7))\\\\=1-(\dfrac{e^{-2.8}2.8^{0}}{0!}+\dfrac{e^{-2.8}2.8^{1}}{1!}+\dfrac{e^{-2.8}2.8^{2}}{2!}+\dfrac{e^{-2.8}2.8^{3}}{3!}+\dfrac{e^{-2.8}2.8^{4}}{4!}+\dfrac{e^{-2.8}2.8^{5}}{5!}+\dfrac{e^{-2.8}2.8^{6}}{6!}+\dfrac{e^{-2.8}2.8^{7}}{7!})\\\\=1-0.991869258012=0.008130741988\approx0.0081

Hence, the required probability : 0.0081

4 0
3 years ago
Kira received a S90 gift card for a coffee store. She used it in buying some coffee that cost $7.28 per pound. After buying the
kolbaska11 [484]

Answer:

N/A

Step-by-step explanation:

This question is not valid because the gift card is only 90 pounds. You states that the Coffee she bought was 553 dollars. This means she will have negative profit, therefore this question is not states correctly.

3 0
3 years ago
If the government purchases multiplier is 4 and a change in government spending leads to a $500 million decrease in aggregate de
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The multiplier effect refers to the theory that government spending intended to stimulate the economy causes increases in private spending that additionally stimulates the economy.In essence,the theory is that government spending gives households additional income, which leads to increased consumer spending.

5 0
1 year ago
In five minutes, you observe that the angle of elevation of a hot air balloon, climbing vertically, changes from 25° to 60°. If
Anna71 [15]

Answer:

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Step-by-step explanation:

At first, the balloon was 300 m away at 25°, so its height can be determined as:

H_{1} = 300*tg(25)\\H_{1} = 139.89 m

After 5 minutes, the balloon was at 60°, so its height can be determined as:

H_{2} = 300*tg(60)\\H_{1} = 519.61 m

To find the distance traveled by the balloon during that period, simply subtract the second height by the first one:

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