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Andrews [41]
3 years ago
15

area of rectangle tabletop is 4 square feet. cassie will cover the tabletop with squares tile that an area of 1 square inch. how

many tiles does cassie need to completely cover the tabletop
Mathematics
2 answers:
marshall27 [118]3 years ago
8 0
I would be guessing that since the square is 4ft squared I would imagine that it would have 2ft per side. That would mean 24inches per side. 24×4= 96inches.
96 tiles is what she needs. I am a little confused myself, hope this helps
Bond [772]3 years ago
4 0
So total area if 4 square feet
each tile is 1 square inch

How many square inches fit in 4 square feet
each square foot has 144 inches
the tabletop is 4 square feet
so it is 4 * 144 = 576 square inches

That means there will be 576 square inch tiles used. 

Hope this helps!

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In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they have been arre
Veseljchak [2.6K]

Answer:

a) 21.58% probability that exactly 3 people are repeat offenders

b) 97.91% probability that at least one person is a repeat offender

c) 3.69

d) 1.83

Step-by-step explanation:

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.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders

This means that p = 0.09

41 people arrested for DUI in Illinois are selected at random.

This means that n = 41

a. What is the probability that exactly 3 people are repeat offenders?

This is P(X = 3).

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

P(X = 3) = C_{41,3}.(0.09)^{3}.(0.91)^{38} = 0.2158

21.58% probability that exactly 3 people are repeat offenders

b. What is the probability that at least one person is a repeat offender?

Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes is 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1).

Then

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = 0) = C_{41,0}.(0.09)^{0}.(0.91)^{41} = 0.0209

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0209 = 0.9791

97.91% probability that at least one person is a repeat offender

c. What is the mean number of repeat offenders?

E(X) = np = 41*0.09 = 3.69

d. What is the standard deviation of the number of repeat offenders?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{41*0.09*0.91} = 1.83

4 0
3 years ago
Solve for x: |2x 6| − 4 = 20 (1 point) select one:
Irina18 [472]
A. x = 9 and x = 11 is the answer you are looking for

Hope I helped you ^^
4 0
3 years ago
What is the answer??
Dmitriy789 [7]

Answer:

the answer would be the second one

Step-by-step explanation:

a congruency symbol consists of a = and a ~

8 0
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