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sleet_krkn [62]
4 years ago
6

Convert each rate using dimensional analysis. Round to the nearest tenth, if necessary. 45 mi/h = ___ ft/s a. 66 c. 26.4 b. 15.6

d. 19.2
Mathematics
2 answers:
vovikov84 [41]4 years ago
8 0
I get A for this one.....66

Serjik [45]4 years ago
8 0
Here you need to make sure that your units cancel. You should end up with units of ft/sec. You should get 66 ft/sec so the correct answer is a
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There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB, how many
svp [43]

Answer:

Option A - 10

Step-by-step explanation:

Given : There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB.

To find : How many color patterns are possible?

Solution :

Total number of chips = 5

So, 5 chips can be arranged in 5! ways.

There are 3 red chips and 2 blue chips.

So, choosing 3 red chips in 3! ways

and choosing 2 blue chips in 2! ways.

As changing the places of similar chip will not create new pattern.

The total pattern is given by,

T=\frac{5!}{3!\times 2!}

T=\frac{5\times 4\times 3!}{3!\times 2}

T=10

Therefore, color patterns are possible are 10.

Option A is correct.

4 0
3 years ago
In the diagram, point O is the center of the circle. If<br> m∠ABC = 70°, what is m∠AOC?
marysya [2.9K]
I can’t see the picture I’m sorry if I can’t help you
6 0
3 years ago
4. [5 pts] Describe how and why the formula for permutations differs from the formula for combinations.
ivann1987 [24]

Answer:

They are different because of the order in the permutation matters. In combination, the order doesn't matter. In other words in a permutation 123 and 132 are different but in a combination are the same group (they have the same digits 1,2, and 3).

Step-by-step explanation:

The formula of the permutation is P(n,r)=\frac{n!}{(n-r)!}, when you are performing a permutation you pick r objects from a total of n, for the first pick you can choose from n, but for the second you have n-1, and this continues to your  pick number r in which you will choose from n-r+1, and the total of permutation is the multiplicación of this number of choices for each pick, like this:

n(n-1)(n-2)...(n-r+1)

If n!=n(n-1)(n-2)...(n-r+1)(n-r)(n-r-1)...(1) and (n-r)!=(n-r)(n-r-1)(n-r-2)...(1)

\frac{n!}{(n-r)!}=\frac{n(n-1)(n-2)...(n-r+1)(n-r)(n-r-1)...(1)}{(n-r)(n-r-1)(n-r-2)...(1)}

The factor equals above and under cancel each other.

\frac{n!}{(n-r)!}=\frac{n(n-1)(n-2)...(n-r+1)(n-r)(n-r-1)...(1)}{(n-r)(n-r-1)(n-r-2)...(1)}\\\frac{n!}{(n-r)!}=n(n-1)(n-2)...(n-r+1)

In combination, the order of the element isn't important, so from the total of permutation you have to eliminate the ones with the same objects with different order and counting just once each group, when choosing r objects the total of permutation for a single group of r objects is: r(r-1)(r-2)...(1)=r!. If you divide the total of permutations of n taking r by r! you get the combinations (where the order is not important). The formula of the combination is C(n,r)=\frac{n!}{r!(n-r)!}.

4 0
4 years ago
You have cup of cornmeal in your cupboard. A recipe for muffins calls for
Dahasolnce [82]
You would have none left. If you started with one cup of cornmeal and then you used that one cup of cornmeal to make the muffins, you would have none left
5 0
3 years ago
M- Determine whether or not the procedure described below results in a binomial distribution. If it is not​ binomial, identify a
Igoryamba

Answer:

A. Yes, the result is a binomial probability distribution.

Step-by-step explanation:

The experiment above depicts a binomial probability distribution because the 4 required conditions are met :

1.) The distribution is independent as the possible outcome of each trial is the same.

2.) There are two possible categories and the result of each trial is one of two outcomes : Yes or No

3.) The number of observation is fixed at sample size of 5500

4.) The probability of success and failure of each trial is the same for all trials in the sample.

Hence, we can conclude that the experiment depicts a binomial probability distribution.

7 0
3 years ago
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