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3 years ago

Question 1

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

7 0

Answer:

i8hjkdfghjkycxgigcftfiuyg

Step-by-step explanation:

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The population mean and standard deviation are given below. Find the required probability and determine whether the given sample

USPshnik [31]

Answer: Not unusual.

Step-by-step explanation:

We know that the z-scores lower than -1.96 or higher than 1.96 are considered as unusual.

Given : Sample size : n= 65

Sample mean = $\mu= 212$

Standard deviation : $\sigma=5.8$

Formula for z-score : $z=\dfrac{x-\mu}{\sigma}$

At x= 213

$z=\dfrac{213-212}{5.8}=0.172413793103\approx0.17$

Since , -1.96< 0.17 <1.96

It means the probability of a sample mean being greater than 213 is not unusual.

7 0

3 years ago

MAINTAINING SKILLS

masya89 [10]

Answer:

1. $30

2. $47.50

3. $7.20

Step-by-step explanation:

1. ( 30 + 45 + 15 ) / 3 = 30

2. ( 18 + 93 + 34 + 45 ) / 4 = 47.50

3. ( 9 + 4 + 5 + 8 + 10 ) = 7.20

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3 years ago

A kiddy pool is shaped like a cylinder and has a radius of 5 feet and a height of 2 feet. If a cubic foot holds about 7.48 gallo

VikaD [51]

Answer:

nsei ;-;

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Using fermat's little theorem, find the least positive residue of $2^{1000000}$ modulo 17.

torisob [31]

Fermat's little theorem states that
$a^p$ ≡a mod p

If we divide both sides by a, then
$a^{p-1}$ ≡1 mod p
=>
$a^{17-1}$ ≡1 mod 17
$a^{16}$ ≡1 mod 17

Rewrite
$a^{1000000}$ mod 17 as
$=(a^{16})^{62500}$ mod 17
and apply Fermat's little theorem
$=(1)^{62500}$ mod 17
=>
$=(1)$ mod 17

So we conclude that
$a^{1000000}$ ≡1 mod 17

6 0

4 years ago

Deshawn fuels 2 yachts and 6 barges.

Dovator [93]

The number of boats are 8; so, he needs a total of 8*126 gallons.

In order to get the partial products, first you have to decompose 126 in its hundreds, tens and ones, that is, 126 = 100 + 20 + 6. Then multiply each of this terms by 8, as follows

8*100 = 800

8*20 = 160

8*6 = 48

Finally you have to add the results of these multiplications, that is, 800 + 160 + 48 = 1008. Therefore, he needs 1008 gallons for all the boats.

4 0

3 years ago