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anygoal [31]
3 years ago
12

Jack is driving from Bangor to Portland at a rate of 68 miles per hour. The distance is 107 miles. To the nearest tenth of an ho

ur, how long will the trip take?
Mathematics
1 answer:
sukhopar [10]3 years ago
4 0

Answer:

1.6 hours

Step-by-step explanation:

To solve this problem, we can plug the values into a distance equation, as shown below:

d=rt

<em>d = distance</em>

<em>r = rate</em>

<em>t = time</em>

<em />

Now, lets plug in the values:

107=68(t)

Next, divide 107 by 68:

\frac{107}{68} =t

t=1.57 <em>(don't forget to round to the nearest tenth)</em>

Your answer is 1.6 hours.

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Suppose you pick two cards from a deck of 52 playing cards. What is the probability that they are both queens?
photoshop1234 [79]

Answer:

0.45% probability that they are both queens.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes

The combinations formula is important in this problem:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes

You want 2 queens. Four cards are queens. I am going to call then A,B,C,D. A and B is the same outcome as B and A. That is, the order is not important, so this is why we use the combinations formula.

The number of desired outcomes is a combinations of 2 cards from a set of 4(queens). So

D = C_{4,2} = \frac{4!}{2!(4-2)!} = 6

Total outcomes

Combinations of 2 from a set of 52(number of playing cards). So

T = C_{52,2} = \frac{52!}{2!(52-2)!} = 1326

What is the probability that they are both queens?

P = \frac{D}{T} = \frac{6}{1326} = 0.0045

0.45% probability that they are both queens.

4 0
3 years ago
Devon bought 19 bottles of paint for his
aleksklad [387]
The estimated cost is 400$
7 0
2 years ago
The student body of 260 students wants to elect 2 representatives
oee [108]
Can u tell me more about it cause I don’t understand
8 0
3 years ago
Find a digit to make numbers that are divisible by 12 if it is possible: 9__32
alukav5142 [94]

Answer:

Step-by-step explanation:

Any digit will work if remainders are allowed.

If you want only whole number results

9132/12 = 761

9432/12 = 786

9732/12 = 881

4 0
3 years ago
Read 2 more answers
A simple random sample of 144 observations was taken from a large population. The sample mean and the standard deviation were de
Vera_Pavlovna [14]

Answer:

The standard error of mean = 10

Step-by-step explanation:

Given a simple sample of 144 observations was taken from a large population.

The size of large sample 'n' = 144

Given sample mean and the standard deviation were determined to be 1234 and 120 respectively.

Given standard deviation of sample (S)  = 120

The standard error of mean is determined by

                                                SE (X^{-} ) = \frac{S.D}{\sqrt{n} }

                                              SE (X^{-} ) = \frac{120}{\sqrt{144} } = 10

<u>Final answer</u>:-

The standard error of mean = 10

4 0
3 years ago
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