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3 years ago

What is the mean of the following set of data? Round your answer to two decimal places.

1 answer:

7 0

The mean is 73.44<span>

</span>You could've found this by adding up all the values in the data set, then dividing by how many numbers were in the data set!

66+81+60+72+79+83+60+92+68 = 661

661 ÷ 9 = 73.44

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What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where

Setler79 [48]

Answer:

$k=-16,k=-8,k=8,k=16$

Step-by-step explanation:

We are given quadratic equations as

$x^2+kx+15$

and it can be factored as

$=(x+a)(x+b)$

now, we can multiply factor term

$(x+a)(x+b)=x^2+(a+b)x+ab$

now, we can compare

$x^2+(a+b)x+ab=x^2+kx+15$

so, we get

$k=a+b$

$ab=15$

we are given that

'a' and 'b' are integers

so, we can find all possible factors

$15=(-1\times -15),(1\times 15)$

$15=(-3\times -5),(3\times 5)$

so, we can find k

At $(-1\times -15)$ :

$k=a+b$

we can plug values

$k=-1-15$

$k=-16$

At $(1\times 15)$ :

$k=a+b$

we can plug values

$k=1+15$

$k=16$

At $(-3\times -5)$ :

$k=a+b$

we can plug values

$k=-3-5$

$k=-8$

At $(3\times 5)$ :

$k=a+b$

we can plug values

$k=3+5$

$k=8$

So, values of k are

$k=-16,k=-8,k=8,k=16$

6 0

3 years ago

Are the answers true or false

insens350 [35]

Answer:

T,F,T,F

Step-by-step explanation:

4 0

2 years ago

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Janelle tips 20% for service at restaurants. When she left a restraurant, she saw the total she paid for her meal was $14.82.

wariber [46]

$12.35 because if u cross multiply 120/100 and 14.82/x u can solve algebraically and get 12.35

8 0

2 years ago

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The square root of 1.85

WARRIOR [948]

Answer:

around 1.36

Step-by-step explanation:

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1 year ago

Segment HI has a length of 25.3 inches. It can be mapped to segment GO by a reflection over the x-axis followed by a reflection

OLEGan [10]

25.3, reflections do not change the length of something and if it can be mapped on to it they should be the same

5 0

2 years ago

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