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3 years ago

100 POINTS PLUS BRAINLIEST!!

Mathematics

2 answers:

zalisa [80]3 years ago

4 0

3/12+8/12=11/12

11/12/2= 11/24

11/24 is the answer

Sveta_85 [38]3 years ago

3 0

Answer:

11/24

Step-by-step explanation:

We want to find the number 1/2 way between 1/2 and 2/3. Add them together and divide by 2

(1/4+2/3) ÷2

Get a common denominator of 12

(1/4*3/3 + 2/3 *4/4) ÷2

(3/12 +8/12) ÷2

(11/12) ÷2

Copy dot flip

11/12 *1/2

11/24

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I'm confused on simplifying radicals.

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To find the square root of a number, remember that there will be two factors that are the same that will give you the product.

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1 x 1 = 1

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As you can see, 4 x 4 is 16. To make sure I'm correct, remember that a square roots consists two identical factors.

4 and 4 are the same numbers.

Therefore, $\sqrt{16}$ = 4

It can also be written as $\sqrt{4 * 4}$

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Delvig [45]

Answer:

a. The mean of the sample is M=35.

The variance of the sample is s^2=39.125.

The standard deviation of the sample is s=6.255.

b. z=-1.6

c. SEM = 2.212

Step-by-step explanation:

The mean of the sample is M=35.

The variance of the sample is s^2=39.125.

The standard deviation of the sample is s=6.255.

Sample mean

$M=\dfrac{1}{8}\sum_{i=1}^{8}(27+25+32+40+43+37+35+38)\\\\\\ M=\dfrac{277}{8}=35$

Sample variance and standard deviation

$s^2=\dfrac{1}{(n-1)}\sum_{i=1}^{8}(x_i-M)^2\\\\\\s^2=\dfrac{1}{7}\cdot [(27-(35))^2+(25-(35))^2+(32-(35))^2+(40-(35))^2+(43-(35))^2+(37-(35))^2+(35-(35))^2+(38-(35))^2]\\\\\\$

$s^2=\dfrac{1}{7}\cdot [(58.141)+(92.641)+(6.891)+(28.891)+(70.141)+(5.64)+(0.14)+(11.39)]\\\\\ s^2=\dfrac{273.875}{7}=39.125\\\\\\s=\sqrt{39.125}=6.255$

b. If the population mean is 45, the z-score for M=35 would be:

$z=\dfrac{M-\mu}{\sigma}=\dfrac{35-45}{6.255}=\dfrac{-10}{6.255}=-1.6$

c. The standard error of the mean (SEM) of this group is calculated as:

$SEM=\dfrac{s}{\sqrt{n}}=\dfrac{6.255}{\sqrt{8}}=\dfrac{6.255}{2.828}=2.212$

4 0

3 years ago