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tensa zangetsu [6.8K]
3 years ago
15

A 12,000-lb killer whale might eat as much as 14,000 lb of fish per month (assume a 30-day month). If the average weight of a ce

rtain type of fish is 3.4 oz, estimate how many of these fish a killer whale would eat in a day.† (Round your answer to the nearest whole number.)
Mathematics
1 answer:
brilliants [131]3 years ago
8 0

Answer:

2196 fish

Step-by-step explanation:

Weight of fish that the killer whale might eat in a month (30 days) = 14,000 lb

Weight of the fish that killer whale might eat in a day = \frac{14000}{30} = \frac{1400}{3} lb.

Average weight of the fish that killer whale eats = 3.4 oz

Since,

1 pound(lb) = 16 ounces(oz)

So,

Weight of the fish that killer whale might eat in a day in ounces(oz) = \frac{1400}{3} \times 16=\frac{22400}{3} oz

Since, a certain fish weighs 3.4 oz, in order to find the number of fish that killer whale must eat, we must divide the total weight in ounces by 3.4 ounces.

So, the number of fish that killer whale would eat = \frac{22400}{3} \div 3.4 = 2196 fish

Thus, the killer whale needs to eat 2196 fish.

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I have $460 less than dotun. Altogether we have $1280. How much do we have
nalin [4]

Answer:

you have $180, total there is $1280

Step-by-step explanation:

5 0
3 years ago
Do you tailgate the car in front of you? About 35% of all drivers will tailgate before passing, thinking they can make the car i
Vesna [10]

Answer:

(a) The histogram is shown below.

(b) E (X) = 4.2

(c) SD (X) = 2.73

Step-by-step explanation:

Let <em>X</em> = <em>r</em><em> </em>= a driver will tailgate the car in front of him before passing.

The probability that a driver will tailgate the car in front of him before passing is, P (X) = <em>p</em> = 0.35.

The sample selected is of size <em>n</em> = 12.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 12 and <em>p</em> = 0.35.

The probability function of a binomial random variable is:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x}

(a)

For <em>X</em> = 0 the probability is:

P(X=0)={12\choose 0}(0.35)^{0}(1-0.35)^{12-0}=0.006

For <em>X</em> = 1 the probability is:

P(X=1)={12\choose 1}(0.35)^{1}(1-0.35)^{12-1}=0.037

For <em>X</em> = 2 the probability is:

P(X=2)={12\choose 2}(0.35)^{2}(1-0.35)^{12-2}=0.109

Similarly the remaining probabilities will be computed.

The probability distribution table is shown below.

The histogram is also shown below.

(b)

The expected value of a Binomial distribution is:

E(X)=np

The expected number of vehicles out of 12 that will tailgate is:

E(X)=np=12\times0.35=4.2

Thus, the expected number of vehicles out of 12 that will tailgate is 4.2.

(c)

The standard deviation of a Binomial distribution is:

SD(X)=np(1-p)

The standard deviation of vehicles out of 12 that will tailgate is:

SD(X)=np(1-p)=12\times0.35\times(1-0.35)=2.73\\

Thus, the standard deviation of vehicles out of 12 that will tailgate is 2.73.

4 0
3 years ago
What is 1,562 divided by 34
marishachu [46]
This would be 45.9
 Get a calculator or try long division :-)
3 0
3 years ago
Read 2 more answers
Naomi deposited money into savings account that is compunded quarterly at an interest rate of 6%. She thinks this quarterly rate
FromTheMoon [43]

Answer:

No, because 1.25% times 3 is 3.75% which is less than 6%

Step-by-step explanation:

Quarterly is every 3 months

6% interest is 1.06, 6 cents on the dollar

Monthly interest rate is 1.25% so 1.25 × 3 is 3.75

So, 1.25% times 3 is 3.75% which is 2.25% less than 6%

Hope this helps!

Have a great day!

Plz mark brainliest.

6 0
3 years ago
Peter planted 5/12 of his garden with asparagus and 3/12 with beans.
UkoKoshka [18]
Answer: He has planted 2/3 and there is 1/3 left to plant.

Explanation: You need to add your fractions together, because each of those is a section of the garden and you need the total of how much of the garden he has planted.

This isn’t too difficult because the denominators are the same.

5/12 + 3/12 = 8/12

It is 8/12 because since the denominators are the same, you just need to add the numerators. Imagine you have a pie that’s cut into 12 pieces, and you and your friends take 5, and then your family takes 3. How many or gone now? 8 pieces. From how many pieces? 12 pieces. So 8/12 pieces are gone.

So Peter has planted 8/12 of his garden. This however, can be simplified, because both of those numbers divide by 4.

8/4 = 2
12/4 = 3

So 8 is now 2, and 12 is now 3.

This is now 2/3.

If there is 2/3 gone, you need to figure out how much is left to get you to 1.

In this instance, 1 can be rewritten as 3/3, because 3 divided by 3 is 1.

In order to get from 2/3 to 1, you need to add 1/3, one more third to the two thirds you already have.

This means Peter has 1/3 left to plant.

Hope this helps :)

7 0
3 years ago
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