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3 years ago

Factorise 3(x+2)^2-10(x+2)+3

1 answer:

3 0

The answer is (x - 1)(3x + 5)

Let's substitute (x + 2) with a:
3(x + 2)² - 10(x + 2) + 3 = 3a² - 10a + 3 =
= 3a² - 9a - a + 3 =
= 3a * a - 3a *3 - (a - 3) =
= 3a(a - 3) - (a - 3) =
= (a - 3)(3a - 1)

Now, substitute a with x + 2:
(a - 3)(3a - 1) = (x + 2 - 3)(3(x + 2) - 1) =
= (x - 1)(3x + 6 - 1) =
= (x - 1)(3x + 5)

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If the probability of a new employee in a fast-food chain still being with the company at the end of the year is 0. 5, what is t

Mazyrski [523]

Using binomial distribution, the probability of

a. 5 will still be with the company after 1 year is 28%.

b. at most 6 will still be with the company after 1 year is 89%.

The probability of a new employee in a fast-food chain still being with the company at the end of the year is given to be 0.6, which can be taken as the success of the experiment, p.

We are finding probability for people, thus, our sample size, n = 8.

Thus, we can show the given experiment a binomial distribution, with n = 8, and p = 0.6.

(i) We are asked for the probability that 5 will still be with the company.

Thus, we take x = 5.

P(X = 5) = (8C5)(0.6⁵)((1 - 0.6)⁸⁻⁵),

or, P(X = 5) = (56)(0.07776)(0.064),

or, P(X = 5) = 0.27869184 ≈ 0.28 or 28%.

(ii) We are asked for the probability that at most 6 will still be with the company.

Thus, our x = 6, and we need to take all values below it also.

P(X ≤ 6)

= 1 - P(X > 6)

= 1 - P(X = 7) - P(X = 8)

= 1 - (8C7)(0.6)⁷((1 - 0.6)⁸⁻⁷) - (8C8)(0.6)⁸((1 - 0.6)⁸⁻⁸)

= 1 - 8*0.0279936*0.4 - 1*0.01679616*1

= 1 - 0.08957952 - 0.01679616

= 0.89362432 ≈ 0.89 or 89%.

Learn more about the binomial distribution at

brainly.com/question/24756209

#SPJ4

The provided question is incomplete. The complete question is:

If the probability of new employee in a fast-food chain still being with the company at the end of 1 year is 0.6, what is the probability that out of 8 newly hired people,

a. 5 will still be with the company after 1 year?

b. at most 6 will still be with the company after 1 year?

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1 year ago

Can Someone help me

Westkost [7]

Answer:

Step-by-step explanation:

because it says monthly fix cost and mothly means x

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2 years ago

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luna has $50 when she got to the carnival. after 12 rides, she had $26. what was the price of each ride?

stellarik [79]

Answer:

Step-by-step explanation:

Lets see how much money she spent first.

$50 - $26 = $24

Now that we know she spent $24 we can divide 24 by twelve which will tell us how much each ride costs

24 / 12 = 2

She spent $2 on each ride

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3 years ago

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What are the solutions of x2 + 10x + 16 = 0?

Ivahew [28]

−

Explanation:

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−

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(

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UNDERSTANDING CHECK:

(

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was not in the original equation. If we add

to one side of the equation, we must add the same amount to the other side of the equation to keep it balanced.

(

)

To solve, square root both sides of the equation:

√

(

)

√

−

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2 years ago

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Can someone help me and explain how you did it?

Feliz [49]

Answer:

slope: -3/5

y-intercept: (0, 4)

slope-intercept form: y = -3/5x + 4

Step-by-step explanation:

<h3><u>Finding the slope</u></h3>

To find the slope of this line, you would take two points from the table and substitute their coordinates into the slope formula.

Slope formula: $\frac{y_2-y_1}{x_2-x_1}$

I'm going to use the points (0, 4) and (5, 1). You can really use any point from the table. Substitute these points into the formula to find the slope.

(0, 4), (5, 1) → $\frac{1-4}{5-0} \rightarrow \frac{-3}{5}$

This means the slope of the line is -3/5.

<h3><u>Finding the y-intercept</u></h3>

The y-intercept will always have the value of x be 0 (so the point is solely on the y-axis), so by looking at the table we can see that the y-intercept is at (0, 4).

<h3><u>Finding the slope-intercept form</u></h3>

Since we have the slope and a point of the line, we must use point-slope form to find the equation of the line in slope-intercept form. Substitute in the point (0, 4) --you could use any point from the table-- and the slope -3/5 into the point-slope form equation.

point-slope form: y - y1 = m(x - x1) --you'll be substituting the point coordinates and slope into y1, x1, and m.

y - (4) = -3/5(x - (0))

Simplify.

y - 4 = -3/5x

Add 4 to both sides.

y = -3/5x + 4 is the equation of the line in slope-intercept form (you have both the slope and the y-intercept in this form).

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2 years ago

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