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3 years ago

Solve -3+12-5(2y-7) The solution y is:

Mathematics

1 answer:

jolli1 [7]3 years ago

8 0

Answer:

+12

Step-by-step explanation:

1. distribute the negative 5 to 2y and negative 7

2. combine like term's -3+12-10y+35

3.Get the Y value by itself -44 from both sides -44-2y=

-44 -44

4. divide negative 2 from both sides<u> 2y</u>=<u>-44</u>

-2= -2

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Alex Ar [27]

Answer:

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Step-by-step explanation:

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3 years ago

The function LaTeX: f\left(x\right)=2\cdot5^xf ( x ) = 2 ⋅ 5 x can be used to represent an exponential growth curve. Which of th

masha68 [24]

Answer:

(2,20)

Step-by-step explanation:

The given function is

$f(x) = 2 \cdot \: {5}^{x}$

To see which point is not on this curve, we must substitute the points to see which does not satisfy the equation;

For the first point we substitute x=3 and f(x)=250

$250= 2 \cdot \: {5}^{3} \: \\ 250 = 2 \times 125 \\ 250 = 250$

This is true.

For the second point (2,20), we put x=2 and y=20 to get:

$20= 2 \cdot \: {5}^{2} \\ 20 = 2 \times 25 \\ 20 = 50$

This is false, hence (2,20) does not lie on this curve.

For (1,10), we have:

$10= 2 \cdot \: {5}^{1} \\ 10 = 10$

This is also true

Finally for (2,50), we have;

$50= 2 \cdot \: {5}^{2} \\ 50 = 2 \times 25 \\ 50 = 50$

This is also true.

4 0

3 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

If I make $84000 a year, how much is that per month?

drek231 [11]

Answer:

$|-7000|

Step-by-step explanation:

divide 84000 by 12 = 7000

6 0

3 years ago

Read 2 more answers

Which number has both 2 and 5 as prime factors?

musickatia [10]

Answer:

Any multiple of 10

Step-by-step explanation:

A factor is defined as "a number or quantity that when multiplied with another produces a given number or expression." For example, the factors of 20 are 1, 2, 4, 5, 10, and 20.

When we multiply 2 and 5 together, we get 10. Multiplying this by anything else besides 0 will still yield something that has 2 and 5 as factors, for example 2 times 5 times 3 is 30. As this is just the same thing as multiplying 10 by 3, the answer is any multiple of 10.

4 0

3 years ago