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3 years ago

13

Which decimal is less than 9.5 when rounded to the nearest tenth?

1 answer:

Ilya [14]3 years ago

4 0

Answer:

9.43

Step-by-step explanation:

bc it is

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Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the z-score for each of the five observations. If required

Mila [183]

Answer:

$\begin{tabular}{c|ccccc}{$x$&10&12&16&17&20&z&-1.397&-0.839&0.2795&0.559&1.397&\end{tabular}$

Step-by-step explanation:

z-score is denoted by:

$z=\dfrac{x-\mu}{\sigma}$

here,

$\mu$ : mean

$\sigma$ : standard deviation (or the square root of the variance)

so first we need to find the means of our sample:

$\mu=\dfrac{10+20+12+17+16}{5}\\\mu = 15\\$

Now to find the standard deviation we first need to find the variance of the sample. The variance is the sum of the squares of the differences of each value from the mean.

$\sigma^2 = \dfrac{(10-15)^2+(20-15)^2+(12-15)^2+(17-15)^2+(16-15)^2}{5}\\\sigma^2 = 12.8$

the standard derviation is simply the square root of the variance!

$\sigma = \sqrt{\sigma^2} \\\sigma = \sqrt{12.8} \\\sigma = 3.5778$

Now that we all the values for our z-score formula. we can plug it in!

$z=\dfrac{x-\mu}{\sigma}$

$z=\dfrac{x-15}{3.5778}$

Finally we'll use each value in place of x from our sample into the formula to find the z-score of each value.

$z=\dfrac{10-15}{3.5778} = -1.397$

$z=\dfrac{20-15}{3.5778} = 1.397$

$z=\dfrac{12-15}{3.5778} = -0.839$

$z=\dfrac{17-15}{3.5778} = 0.559$

$z=\dfrac{16-15}{3.5778} = 0.2795$

We can even display the z-scores in a table: (the x-values are in ascending order)

$\begin{tabular}{c|ccccc}{$x$&10&12&16&17&20&z&-1.397&-0.839&0.2795&0.559&1.397&\end{tabular}$

5 0

3 years ago

Given that a truck can drive 25 miles with four gallons of gas, how many gallons does it need to drive 125 miles?

slega [8]

The truck gets 6.25 miles per gallon of gas
6.25 x 20 = 125 miles
the answer is C. 20 gallons

3 0

3 years ago

Read 2 more answers

If log.. (125) = 3, then x =

Naddik [55]

5x5x5=125 so it could be x=5

6 0

3 years ago

9. The ratio of boys to girls in Mrs. Reeves's class is 4 to 5. There are 20 girls in the

xxTIMURxx [149]

Answer:

boys : girls

4 : 5

multiply by 4

16 : 20

<u>total = 36</u>

3 0

2 years ago

Read 2 more answers

Directions:Use the product rule to simplify the following monomials.

abruzzese [7]

7) Answer = $-24x^8y^{11}$

$\left(8x^4y^2\right)\left(-3x^4y^9\right)$

$=-8x^4y^2\cdot \:3x^4y^9$

$=-24x^4y^2x^4y^9$

$=-24x^8y^2y^9$

$=-24x^8y^{11}$

8) Answer = $-30y^6$

$2y\left(-5\right)y^2\cdot \:3y^3$

$=-30yy^2y^3$

$=-30y^{1+2+3}$

$=-30y^6$

9) Answer = $-6x^4y^5$

$\left(-2xy\right)\left(xy\right)\left(3x^2y^3\right)$

$=-2xyxy\cdot \:3x^2y^3$

$=-6xyxyx^2y^3$

$=-6x^4yyy^3$

$=-6x^4y^5$

3 0

2 years ago