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dybincka [34]
3 years ago
12

Factorise the following: x^2-14x+48

Mathematics
2 answers:
Leya [2.2K]3 years ago
8 0
I’m sorry I’m not actually answering you this is just so I can ask my questions bc I have to answer people
Novosadov [1.4K]3 years ago
6 0

Answer:

(x-8)(x-6)

Step-by-step explanation:

To factor this, you need the numbers that will multiply together to give you the third number (48 in this case) and add together to give you the second number (-14). -8 * -6 = 48. -8 + -6 = -14

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What is the approximate volume of the oblique cone? Use π ≈ 3.14 and round to the nearest tenth.
aev [14]

Answer:

235.5 units^2

Step-by-step explanation:

(3.14*5^2*9)/3 = 235.5

5 0
4 years ago
Read 2 more answers
Suppose an aerial freestyle skier goes off a ramp with her path represented by the equation y=−0.024(x−25)2+40. If the surface o
Harlamova29_29 [7]

Answer:

Suppose an aerial freestyle skier goes off a ramp with her path represented by the equation y=−0.024(x−25)2+40. If the surface of the mountain is represented by the linear equation y=−0.5x+25, find the distance in feet the skier lands from the beginning

6 0
3 years ago
412 students were surveyed about their preferences of sports. 115 students like football, 100 students like baseball, and 45 stu
Damm [24]

Answer: 242 students do not like football or baseball

Step-by-step explanation:

The total number of students that were surveyed about their preferences of sports is 412. The Venn diagram is shown in the attached photo.

If 45 students like both sports, then the number of students that like football only would be

115 - 45 = 70

Also, the number of students that like baseball only would be

100 - 45 = 55

The number if students that like at least one of the sports is

70 + 55 + 45 = 170

Therefore, the number of students that do not like football or baseball would be

412 - 170 = 242

3 0
4 years ago
Suppose the lifetime, in years, of a motherboard is modeled by a Gamma distribution with parameters α=80 and λ=4. Use the Centra
timurjin [86]

Answer:

Therefore there's a 99.99% probability the motherboard of your new computer will last for at least 15 years.

Step-by-step explanation:

This is the general idea to solve the problem.

Suppose that the mean and variance of the your distribution are .\mu , \sigma respectively. Then, according to the problem you are looking for the probability.

P(X \geq 15) = 1 - P(X

Consider then the following random variable.

T  =   X_1 + X_2 + .... + X_{14}

Using the central limit theorem  T distribution will be close to normal, and its mean and variance will be  14\mu , 14\sigma  , respectively. Therefore you just have to find the probability that a normally distributed  random variable with that mean and that variance which I just mentioned is less than 14.

For this case we have that

\mu = \alpha / \gamma  = 20 \\\sigma = \alpha(\alpha+1) / \gamma^2  -  (\alpha/ \gamma)^2  = 5

Then you have that

14\mu = 280\\14\sigma = 70\\

and we have that if  N is a normally distributed random variables with mean 280 and variance 70 we have that

P(N \leq 14 ) = 0.0001

the actual probability we are looking for is

1-P(N\leq14) =  1-(0.0001) = 0.9999

Therefore there's a 99.99% probability the motherboard of your new computer will last for at least 15 years.

5 0
3 years ago
Six less than the quotient of a number and 2 is equal to 3
Likurg_2 [28]
Let the number we are looking for be x we have that:
x/2 - 6 = 3
We can rearrange to find x:
x/2 = 9
x = 18

The number is 18
6 0
3 years ago
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