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butalik [34]
4 years ago
9

The number of hours per day a college student spends on homework has a mean of 6 hours and a standard deviation of 1.25 hours. Y

esterday she spent 3 hours on homework. How many standard deviations from the mean is​ that? Round your answer to two decimal places.
Mathematics
1 answer:
Angelina_Jolie [31]4 years ago
7 0

Answer:

-2.4

Step-by-step explanation:

To calculate how many standard deviations you are from the mean you use Z-score, which is exactly that.

The formula is:

Z-score = \frac{X-\mu}{\sigma} \\Where \\X: Value \\\mu: Mean \\\sigma: Standard\ deviation \\

Replacing the information given in the formula you get:

Z-score = \frac{3-6}{1.25} = -2.4

She is -2.4 standard deviations from the mean or 2.4 to the left

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Answer:

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Step-by-step explanation:

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lesya692 [45]

3(14 - 5x) = 16 - 12x

Distribute 3 throught the parentheses

42 - 15x = 16-12x

Move the variable to the left-hand side and change its sign

42 - 15x + 12x = 16

Move the constant to the right-hand side and change its sign

- 15x+12x=16 - 42

Collect like terms

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Divide both sides of the equation by -3

\boxed{x =  \frac{26}{3} }

6 0
3 years ago
Read 2 more answers
. The sum of half of the first number and 1/3 of the second number is represented by 1/2a+1/3b=9.
Damm [24]
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That is correct
7 0
3 years ago
Find the rational zeros of the polynomial function, f(x)= 4x^3-8x^2-19x-7
Dima020 [189]

Answer:

The rational zero of the polynomial are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1  .  

Step-by-step explanation:

Given polynomial as :

f(x) = 4 x³ - 8 x² - 19 x - 7

Now the ration zero can be find as

\dfrac{\textrm factor of P}{\textrm factor Q} ,

where P is the constant term

And Q is the coefficient of the highest polynomial

So, From given polynomial ,  P = -7 , Q = 4

Now , \dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q}

I.e  \dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q} = \frac{\pm 7 , \pm 1}{\pm 4 ,\pm 2,\pm 1 }

Or, The rational zero are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1

Hence The rational zero of the polynomial are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1  .  Answer

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3 years ago
Circle O has a circumference of 36π cm.
ehidna [41]

Answer:

r = 18 cm

Step-by-step explanation:

The formula for the circumference of a circle is 2πr.

Hence,

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2 years ago
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