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Crank
3 years ago
8

The Taylor family went on vacation. They traveled 412 miles on Monday. At the end of the day Tuesday, the average speed of the c

ar for the day was 56 mph. What function can be used to determine the total miles (t) traveled on Monday and Tuesday where h reperesents the number of hours traveled on Tuesday
Mathematics
1 answer:
mixer [17]3 years ago
7 0

Answer:

d = 56x + 412

Step-by-step explanation:

To find the total number of miles traveled on Monday and Tuesday, use a linear equation to write the function.

y = mx+b where m is the speed or rate of change and b is the starting point.

The starting point on Tuesday is 412 miles. This is b.

The number of miles traveled on Tuesday is found by calculating 56 miles times the number of hours traveled.  This is the slope or m.

So the equation is d = 56h + 412.

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Answer: 0.009

Step-by-step explanation:

Formula we use here : Binomial distribution formula

Probability of getting success sin x trial =P(X)=^nC_xp^x(1-p)^{n-x} , where n is the sample size and p is the probability of success in each trial .

Given : A study conducted at a certain college shows that​ 65% of the​ school's graduates find a job in their chosen field within a year after graduation.

i.e. p= 0.65

Sample size : n= 11

Now, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating:-

P(X)=^{11}C_{11}(0.65)^{11}(1-0.65)^{11-11}\\\\=(1)(0.65)^{11}(1)\\\\=0.00875078317401\approx0.009

Hence, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating = 0.009

8 0
3 years ago
What is the coefficient of x in the algebraic expression (5a)x-17x^2+14a?​
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3 years ago
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Step-by-step explanation:

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4 years ago
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Colt1911 [192]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of simple arrangements and y be the number of grand arrangements.

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x\ge 2y

2. A florist can make a grand arrangement in 18 minutes =\dfrac{3}{10} hour, then he can make y arrangements in \dfrac{3}{10}y hours.

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Answer:

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Step-by-step explanation:

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