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3 years ago

How to factorise 24x+3

1 answer:

7 0

The first thing to do is to work out the biggest number that goes into bother 24 and 3. As the only that goes into three- other than 1- is itself, one can assume this is the number we are looking for.

Next, divide bother numbers by 3.
24 / 3 = 8
3 / 3 = 1

You now take 3 out of the brackets, and leave 8 and 1. 24x / 3 = 8x.

3(8x + 1)

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susan is making 8 casseroles. she uses 9 cans of beans. Each can is 16-ounces. Of she divides the beans equally among 8 casserol

kotykmax [81]

9 cans x 16 oz = 144oz
144oz ÷ 8 casseroles = 18 oz per casserole

6 0

3 years ago

Read 2 more answers

what is an equation of the line that is parallel to y equals negative 4x - 5 and passes through the point -2, 6

Bond [772]

y = - 4x - 2

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = - 4x - 5 is in this form

with slope m = - 4

• Parallel lines have equal slopes

y = - 4x + c ← is the partial equation

To find c substitute (- 2, 6 ) into the partial equation

6 = 8 + c ⇒ c = 6 - 8 = - 2

y = - 4x - 2 ← equation of parallel line

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3 years ago

Suppose a NBA basketball player has 5% chance of picking up a foul every minute he plays. What is the probability that he will p

alukav5142 [94]

Answer:

He wont foul out with probability 0.9093

Step-by-step explanation:

The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.

Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus

$P(X \leq 4) = P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4) \\= 0.95^{48}+48*0.95^{47}*0.05+{48 \choose 2}*0.95^{46}*0.05^2+\\{48 \choose 3}*0.95^{45}*0.05^3+{48 \choose 4}*0.95^{44}*0.05^4 \\= 0.085+0.215+0.266+0.215+0.127 = 0.9093$

As a consecuence, he wont foul out with probability 0.9093.

8 0

3 years ago

Alan has to finish an exam within 120 minutes. He finished the exam in 80 minutes. What is the percentage of the time he took fo

drek231 [11]

Answer:

66.67%

Step-by-step explanation:

80/120 = 66.67

7 0

3 years ago

Let x represent an unknown number. Write an equation that represents the given statement. Then find the value of the unknown num

LenaWriter [7]

Hey there! I'm happy to help!

If something is 11 less, we are subtracting 11.

-11

We have 11 less than seven times a number x.

7x-11

The word is means equals.

7x-11=-4

Now we need to isolate the x. We add 11 to both sides.

7x=7

We divide both sides by 7.

x=1.

Have a wonderful day! :D

7 0

3 years ago