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3 years ago

Answer and explanation please

Mathematics

2 answers:

Drupady [299]3 years ago

6 0

The answer to this problem is 74

Gnom [1K]3 years ago

3 0

For the triangle, the shaded part, both the height and base are 12, so the area of it is:

1/2 (12 x 12) = 72

And the area of the whole square is 144

But what we’re looking for is the area of the unshaded region. So to find it, we’ll need to subtract the shaded from the total. So:

144 - 72 = 72

Thus, the area of the unshaded region is 72

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Point T has coordinates (-7, -3). If it's reflected across the line x = 2, what will be the coordinates of its image? A (7, -3)

anastassius [24]

B is the answer
just like the picture
( T' is not exact. it just shows the reflection)

8 0

3 years ago

How many 1/8s are there in jacob's 6 aquriums

FromTheMoon [43]

Answer:

48 1/8s

Step-by-step explanation:

a whole is 8/8 so u multiply 8 by 16 to get 48

hope this helps

please mark brainliest

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4 0

3 years ago

How many significant digits are in this number? 4,000,000?

erma4kov [3.2K]

Just one which is the 4 but you have to put the zeros in because if you won 4,103,002 on the lottery you would say oh i won 4 million you wouldn’t say i won 4

5 0

3 years ago

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

the amount a basketball coach spends at a sporting good store depends on the number of basketballs the coach buys. the situation

algol13

Answer: 0,16,32,48,64

Step-by-step explanation: the equation 16b means you will multiple 16 by whatever is in the b box. For the first b is equal to 0 so 16x0 = 0, the second b is equal to 1 so 16x1 = 16

6 0

3 years ago