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2 years ago

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Jane is making a suit that requires 2 5/8 yards for a jacket and 1 3/4 yards for a skirt. What is the total amount of material s

he needs?
A. 4 yards.
B. 4 3/8 yards.
C. 3 2/3 yards.
D. 3 1/2 yards

1 answer:

Delvig [45]2 years ago

3 0

The total amount of material she needs is 4 3/8 yards

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|18-x|, if x<18. Pls help

damaskus [11]

Answer:

I18 - xI such that x < 18.

ok, first let's what happens if x = 18:

I18 - xI = I18 - 18I = 0

So, at the moment we have the condition:

I18 - xI > 0.

now, if x is a really large negative number, suppose, x = -100

I18 + 100I = I118I = 118

So, as x can freely move in the negative range, we can see that I18 - xI can be any positive number, so the only restriction that we have is:

I18 - xI > 0.

This means that the domain is:

D = (-∞, 18)

and the range is:

R = (0, ∞)

3 0

2 years ago

There is a bag filled with 3 blue and 4 red marbles.

tresset_1 [31]

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

In this problem:

There is a total of 3 + 4 = 7 marbles, hence N = 7.

Of those, 3 are blue, hence k = 3.

2 marbles will be taken, hence n = 2.

The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857$

$P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429$

Hence:

$p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286$

0.4286 = 42.86% probability of getting 2 of the same colour.

You can learn more about the hypergeometric distribution at brainly.com/question/4818951

3 0

2 years ago

What is the value of r?

s2008m [1.1K]

Answer:

Since opposite sides of parallelogram are equal therefore

9r-6=8r+3

r=9

EF=4r+19{opposite sides of parallelogram are equal}

=4×9+19

36+19

=55

Here is you answer.

Step-by-step explanation:

5 0

2 years ago

If x-9=2y and x+3=5y the what is the value of x

Slav-nsk [51]

For the first 1 X= 11 because all you need to do is add or subtract the numbers visible.
The second would be 2.

3 0

2 years ago

Read 2 more answers

It is estimated that 4,600 people, correct to the

Marina CMI [18]

Answer:

The minimum would be 4,500, and the maximum would be 4,700.

Step-by-step explanation:

If I am not mistaken, you simply need to add or subtract 100 to find the minimum or maximum, as it stated that 4,600 is an estimate that is valid for a range of 100 (up or down).

8 0

3 years ago