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AnnyKZ [126]
2 years ago
13

Denzel can mow 1/8 of his yard every 7 minutes. If he had 40 minutes to mow 3/4 of the yard, will he have enough time

Mathematics
1 answer:
ehidna [41]2 years ago
8 0

Answer:

No.  He is short by 2 minutes

Step-by-step explanation:

Given that Denzel can mow 1/8 of his yard every 7 minutes.

Hence he can mow the full yard in 7(8) = 56 minutes.

Now he has to do 3/4 of his yard and time is 40 minutes

For 3/4 of yard time taken would be = 3/4 (56) = 42 minutes.

If he had 40 minutes to mow 3/4 of the yard, he will not  have enough time  since he is short of time by 2 minutes.


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. Asking 100 students at a large university for their opinions on campus life is an example of measuring a _____.
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B

Step-by-step explanation:

I am assuming that the university has much more than 100 students so 100 people is just a small sample.

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B

Step-by-step explanation:

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3 years ago
You take a quiz with 6 multiple choice questions. After you studied your estimated that you would have about an 80 % chance of g
Arada [10]

Answer:

1.15%

Step-by-step explanation:

To get the probability of m  independent events you multiply the individual probability of each event. In this case we have m independent events, each one with the same probability, therefore:

p^{m}

0.8^{20} = 1.15\%

This is a particlar scenario of binomial distribution problem. So the binomial distribution questions are about the number of success of m independent events, where every individual event has the same p probability. In the question we have 20 events and each event has a probability of 80%. The binomial distribution formula is:

\binom{n}{k} * p^{k} * (1-p)^{n-k}

n is the number of events

k is the number of success

p is the probability of each individual event

\binom{n}{k} is the binomial coefficient

the binomial coefficient allows to find the subsets of k elements in a set of n elements.  In this case there is only one subset possible since the only way to get 20 of 20 correct questions is to getting right all questions (for getting 19 of 20 questions there are many ways, for example getting the first question wrong and all the other questions right, or getting second questions wrong and all the other questions right, etc).

\binom{n}{k} = \frac{n!}{k!(n-k)!}

therefore, for this questions we have:

\frac{20!}{20!(20-20)!} * 0.8^{20} * (1-0.8)^{0} = 1.15\%

4 0
2 years ago
❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️
leva [86]

Answer:

The answer is 4.802 × 10⁷

Step-by-step explanation:

48020000 = 4.802 × 10⁷

Thus, The answer is 4.802 × 10⁷

<u>-TheUnknownScientist</u>

3 0
3 years ago
Solve 5x(m+n) using the distributive property
Genrish500 [490]

Answer: 5xm+5xn

Step-by-step explanation:

For this exercise it is necessary to remember the following:

1) The Distributive Property states the following:

a(b+c)=ab+ac\\\\a(b-c)=ab-ac

2) The multiplication of signs:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-

Knowing this, and having the following expression given in the exercise:

5x(m+n)

You can apply the Distributive property multiplying m and n, which are inside the parentheses, by 5x.

So, you get the following result:

=(5x)(m)+(5x)(n)=5xm+5xn

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3 years ago
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