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3 years ago

6 + 2 ÷ 4 × 3 - 7 + 6 + 5 ÷ 3 - 1 × 1

Mathematics

2 answers:

scoundrel [369]3 years ago

7 0

La respuesta es −2.833333333333333

ladessa [460]3 years ago

4 0

Answer:

7.16666666667. hope this helps

Step-by-step explanation:

- Zombie

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3 years ago

Hi! I need Help <br> What is the answer to (-37) - (+14)<br> Negative 37 minus positive 14

Dimas [21]

Answer: -51 my friend

Step-by-step explanation:

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3 years ago

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mojhsa [17]

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2 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

Nancy needs at least 1000 gigabytes of storage to take pictures and videos on her upcoming vacation. She

balandron [24]

Answer:

The answer to this question can be defined as follows:

In option 1, She buys 4 memory cards.

In option 2, The cost of memory is $40

Step-by-step explanation:

Given:

Available space is = 105 GB

required space = 1000 GB

256 GB memory cost $10.

Find needed memory:

= 1000 GB - 105 GB

= 895 GB

∴ the available memory is 256 GB.

∵ 256 × 4 = 1024 GB

The total memory she have = 1024 + 105 = 1129 GB

And she needs to buy 4 memory cards.

The cost of the four memory cards is= 4 ×10 = $40.

7 0

3 years ago

Read 2 more answers