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NikAS [45]
3 years ago
9

Two standard dice are rolled. What is the probability that the sum of the numbers

Mathematics
1 answer:
UkoKoshka [18]3 years ago
8 0

Answer:

Help I'm dying I'm so confused

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Ok ima try
a x 3 + c x 2 = 14
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The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value o
Nezavi [6.7K]

Answer:

k=17

Step-by-step explanation:

Given F(x)=2x+3  shifts 10 units when it is replaced with the graph f(x)=2x-k.

The method to solve this kind of questions is find where the graph meets the x axis then add ten units to it .The obtained x coordinate is the point where the second graph meets the x axis.

Now first find where the F(x)=2x+3 meets the x axis by substituting F(x)=0.

2x+3=0

x=-\frac{3}{2}

Now add 10 to this x coordinate , we get x1=10-3/2=17/2

this is x coordinate where the second line meets the x-axis.

The second line is F(x)=2x-k.

now f(x)=0 and x=17/2

On substitution we get 0=2*17/2-k

k=17

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3 years ago
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3 years ago
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The Widget Manufacturing industry has approximately 123.2 thousand Jobs in 2020, but has expected to decline at an average annua
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Answer:

35.71%

Step-by-step explanation:

So, let's determine the number of jobs the industry will have in 2030.

So, in 2020, the industry has 123,200 jobs.

Each year, the industry loses 4,400 jobs.

Thus, by 10 years in (2030), the industry would have lost (4,400)(10) or 44,000 jobs.

This means that in 2030, there will only be 123,200-79200 jobs left.

Now, percentage change is given by:

PC=\frac{New-Old}{Old}\cdot100\%

The new value is 79200 and the old value is 123,200. Substitute them:

PC=\frac{(79200)-(123200)}{123200}\cdot100\%\\

Use a calculator. Simplify:

PC=\frac{-44000}{123200}\cdot100\%\\ PC\approx-0.3571\cdot100\%\\PC\approx-35.71\%

If the result is negative, then it's a decrease. Therefore, the percentage change from 2020 to 2030 is approximately 35.71%

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LMNP is rotated 90° clockwise around the origin.<br> What are the coordinates of P'?
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