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4 years ago

12

Let X and Y be the following sets:

1 answer:

kvasek [131]4 years ago

3 0

Answer:

A

Step-by-step explanation:

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Use any model to solve the story problem. A single board is 1/12 meter thick. How many boards are there in a stack of boards tha

Colt1911 [192]

If a single board measures 1/12 of a meter then it would take 12 boards to make a meter. Since, the stack is 2 meters high. You would multiply 12 and 2 to get 24. There is 24 boards in the stack.

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4 years ago

(24x3 − 14x2 + 20x + 6) ÷ (4x2 − 3x + 5) = Q + <br> R<br> 4x2 − 3x + 5

riadik2000 [5.3K]

Answer:

Q= 6x+1

R= -7x+1

Step-by-step explanation:

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3 years ago

Read 2 more answers

20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st

Sladkaya [172]

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.

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.

In this problem we have that:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that $p = 0.13$

14 drivers are stopped

This means that $n = 14$

(a) None will have an invalid license.

This is $P(X = 0)$

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

$P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423$

(b) Exactly one will have an invalid license.

This is $P(X = 1)$

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

$P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977$

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

So

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56$

8 0

3 years ago

I GIVE ANOTHER BRAINLIEST

dlinn [17]

Answer:

Answer Below

Step-by-step explanation:

Triangle #1

To solve this answer we need to multiply then <em>divide by 2</em>

$3$ x $8=24$

$24$ ÷ $2=12$

12

Triangle #2

Now we do the same thing!

$3$ x $8=24$

$24$ ÷ $2=12$

12

Rectangle #1

<em>Now we solve for the rectangle!</em>

$6$ x $8 = 48$

48

Now we add all these together!

$12 + 12 + 48 = 72$

<em>The answer is D. 72 Square Units</em>

8 0

3 years ago

Read 2 more answers

What is 3/8 divided by 4/5?

vovikov84 [41]

3/8 divided by 4/5 is the same as 3 * 5 / 8 * 4 = 15/32 or 0.46875

4 0

3 years ago