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taurus [48]
3 years ago
11

The correlation coefficient, r, between the ages of employees, x, and the number of sick days taken per year, y, equals 0.81.

Mathematics
1 answer:
alekssr [168]3 years ago
7 0

Answer:

✔ positive

✔ 1

✔ closely

✔ increases

ED2021

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Can I get some help please 11 and 12
Xelga [282]
#11 is 2 ounces because there are 16 ounces in 1 pound and if u add all the #rs you get 32, divide by 16 and u get 2.
#12 is 10 ounces because when u add the #rs up u get 54. u subtract that from 64 because that's how many ounces are in 4 pounds, so ur answer is 10
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Write the equation of the line that passes through (4, -6) and (8, 10)
snow_tiger [21]

Answer:

Line equation: y=4x−22

Slope: 4

Intercept: -22

Step-by-step explanation:

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(0,9)
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Which operations are commutative and
MariettaO [177]

Answer:

  • addition
  • multiplication

Step-by-step explanation:

When learning about commutative and associative properties, we learn that ...

  a + b = b + a . . . . . addition is commutative

  ab = ba . . . . . . . . . multiplication is commutative

But we also know that ...

  a - b ≠ b - a . . . . . . subtraction is not commutative

  a/b  ≠ b/a . . . . . . . . division is not commutative

__

We also learn that ...

  a + (b+c) = (a+b) +c . . . . addition is associative

  a(bc) = (ab)c . . . . . multiplication is associative

And of course, ...

  a - (b -c) ≠ (a -b) -c . . . . subtraction is not associative

  a/(b/c) ≠ (a/b)/c . . . . . . . division is not associative

_____

However, you can use associative and commutative properties in problems involving subtraction and division if you write the expression properly:

  a - (b - c) = a +(-(b -c)) = a +((-b) +c) = (a +(-b)) +c . . . . keeping the sign with the value makes it an addition problem, so the associative property can apply

  (a/b)/c = (a(1/b))(1/c) = a(1/b·1/c) = writing the division as multiplication by a reciprocal makes it so the associative property can apply

8 0
4 years ago
What is the factored form of the expression?<br><br> d^2 = 36d + 324
Aleonysh [2.5K]

Answer:

(x-43.45)(x+7.45)=0.

Step-by-step explanation:

We have the quadratic equation d^{2}=36d+324 i.e. d^{2}-36d-324=0

Now, the roots of the quadratic equation ax^{2}+bx+c=0 are given by x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}

So, from the given equation, we have,

a = 1, b =-36 , c = -324.

Substituting the values in x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}, we get,

x=\frac{36\pm \sqrt{(-36)^{2}-4\times 1\times (-324)}}{2\times 1}

i.e. x=\frac{36\pm \sqrt{1296+1296}}{2}

i.e. x=\frac{36\pm \sqrt{2592}}{2}

i.e. x=\frac{36\pm 50.9}{2}

i.e. x=\frac{36+50.9}{2}  and i.e. x=\frac{36-50.9}{2}

i.e. x=\frac{86.9}{2}  and i.e. x=\frac{-14.9}{2}

i.e. x = 43.45 and x = -7.45

Hence, the factored form of the given expression will be (x-43.45)(x+7.45)=0.

4 0
3 years ago
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