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Anvisha [2.4K]
3 years ago
9

A dozen plain hats cost $3.60.What is the unit rate of a hat?

Mathematics
1 answer:
antoniya [11.8K]3 years ago
4 0
$0.30

Here's why:
3.60 30
--------- = -----
12 1

3.60 / 12 = .3
12 / 12 = 1
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At a local University, it is reported that 81% of students own a wireless device. If 5 students are selected at random, what is
Sphinxa [80]

Answer:

34.87% probability that all 5 have a wireless device

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they own a wireless device, or they do not. The probability of a student owning a wireless device is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

81% of students own a wireless device.

This means that p = 0.81

If 5 students are selected at random, what is the probability that all 5 have a wireless device?

This is P(X = 5) when n = 5. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{5,5}.(0.81)^{5}.(0.19)^{0} = 0.3487

34.87% probability that all 5 have a wireless device

5 0
3 years ago
Solve ax-5=b for a. So which one is right A,B,C or D
Darya [45]
It would be c

ax-5=b What you have to do is get a to be by itself

So you would add 5 to both sides:
ax-5(+5)=b(+5) = ax=b+5

And then divide x by both sides. You divide because a is multiplied by x on the left side, so to move it to the other side you’d have to do the opposite and divide:
ax /x=b+5 /x

Answer is C ... a=(b+5) /x
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Which function can be used to represent the graphed geometric sequence
Evgesh-ka [11]
It could probably be c
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Rewrite y + 3 = 0 using function notation.
liubo4ka [24]
First rewrite as y = ..., just move the +3 to the other side (sign flips):

y = -3.

Then replace y by f(x):

f(x) = -3.

This is a straight line at y=-3.

Answer B.
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3 years ago
A rope is 544 feet long. If it is cut into pieces 2 feet long, how many pieces will there be
Minchanka [31]
There will be 272 pieces. 
4 0
3 years ago
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