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3 years ago

Plz Help Me And thank u

Mathematics

2 answers:

fiasKO [112]3 years ago

6 0

Can you provide the answer?

Natalija [7]3 years ago

3 0

Sorry- but- Wouldn't the answer be the same as the the teal curved line? Wouldn't X= 152? Sorry, I'm no genius. .__.

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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

4 years ago

Help me show work please

masha68 [24]

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - given point

$\bullet\ (2,\ 7),\ m=-4\\\\y-7=-4(x-2)\\\\\bullet(-6,\ -2),\ m=3\\\\y-(-2)=3(x-(-6))\to y+2=3(x+6)\\\\\bullet(12,\ 5),\ m=-3\\\\y-5=-3(x-12)\\\\\bullet(7,\ -6),\ m=\dfrac{1}{2}\\\\y-(-6)=\dfrac{1}{2}(x-7)\to y+6=\dfrac{1}{2}(x-7)\\\\\bullet(4,\ -5),\ m=6\\\\y-(-5)=6(x-4)\to y=y+5=6(x-4)\\\\\bullet(-8,\ 2),\ m=-\dfrac{3}{4}\\\\y-2=-\dfrac{3}{4}(x-(-8))\to y-2=-\dfrac{3}{4}(x+8)$

8 0

3 years ago

5/13 as a decimal rounded to the nearest hundredth

motikmotik

Answer:

0.40

Step-by-step explanation:

5/13 = 0.38461538461. Hundreths place is the 2nd number after decimal so if you round 8 it'll be .40

5 0

3 years ago

Read 2 more answers

The value of (a+b)² - (a-b)² is

ANEK [815]

Answer:

4ab

Step-by-step explanation:

(a+b)^2-(a-b)^2

=a^2 + 2ab + b^2 -(a^2 - 2ab +b^2)

=a^2 + 2ab + b^2 - a^2 + 2ab - b^2

=2ab + 2ab

=4ab

5 0

3 years ago

Rachel has bought 24 pounds of dog food. She feeds her dog 3/4 pounds for each meal. For how many meals will the food last?

lilavasa [31]

Answer:

32 meals

Step-by-step explanation:

24/.75 = 32

- Please let me know if you need a further explanation

7 0

4 years ago