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3 years ago

11

There are 32 students in a class how many ways can the Class be divided into groups with equal numbers of students are what are

they

1 answer:

kumpel [21]3 years ago

3 0

They can be divided into

2 groups of 16
4 groups of 8
8 groups of 4
16 groups of 2

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678,985,488 in expanded notation

____ [38]

Six hundred seventy-eight million nine hundred eighty-five thousand four hundred eighty-eight. (I think)

3 0

3 years ago

A data set with a mean of 34 and a standard deviation of 2.5 is normally distributed

tresset_1 [31]

Answer:

a) $z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

b) $P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

c) $z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

Step-by-step explanation:

For this case we have a random variable with the following parameters:

$X \sim N(\mu = 34, \sigma=2.5)$

From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.

We want to find the following probability:

$P(34 < X$

We can find the number of deviation from the mean with the z score formula:

$z= \frac{X -\mu}{\sigma}$

And replacing we got

$z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

For the second case:

$P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

For the third case:

$P(29 < X$

And replacing we got:

$z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

7 0

2 years ago

(HELP ASAP PLEASE!!)

Doss [256]

Answer:

Each shirt cost $<u>7</u> and each pair of shorts cost $<u>17</u> .

Step-by-step explanation:

let shirts be represented as x

let shorts be represented as y

Younger brother spent $79 on 4 new shirts and 3 pairs of shorts.

4 x + 3 y = $79 .......equation 1

Older brother purchased 7 new shirts and 8 pairs of shorts and paid a total of $185.

7 x + 8 y = $185 .......equation 2

multiply equation 1 by 7 and equation 2 by -4 and add both equations to get the value of y.

7 × (4 x + 3 y = $79) ⇒ +28 x + 21 y = $553

-4 × (7 x + 8 y = $185) ⇒ <u> -28 x - 32 y = - $740</u>

0 - 11 y = - $187 ⇒ -11 y = - $187

y = $\frac{- $187}{- 11}$ ⇒ y = $17

shorts = y = $17

put value of y in equation 1

4 x + 3 ( $17 ) = $79 ⇒ 4x + $51 = $79 ⇒ 4x = $79 - $51

4x = $28 ⇒ x = $\frac{$28}{4}$ ⇒ x = $7

Shirts = x = $7

8 0

2 years ago

12.3 Write the first five terms of the sequence whose general term is <img src="https://tex.z-dn.net/?f=a_%7Bn%7D%3D3%5E%7Bn%7D%

weeeeeb [17]

Answer:

7,13,31,85,247......

Step-by-step explanation:

$a_n =3^n + 4$

$\sf a_1=3^1 + 4 = 3 + 4 = 7\\\\a_2 = 3^2 + 4 = 9 + 4 = 13\\\\a_3 = 3^3 + 4 = 27 + 4 = 31\\\\a_4 = 3^4 + 4 = 81 + 4 = 85\\\\a_5 = 3^5 + 4 = 243 + 4 = 247$

8 0

1 year ago

Which of the following illustrates the Distributive Property of Multiplication over addition? A. a . b = b . a B.c(-3) + c(d) =

inessss [21]

Answer:

A.

Step-by-step explanation:

took the quiz

5 0

3 years ago

Read 2 more answers