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2 years ago

Find the quotient: 8,441 ÷ 21 = ________. a. 400 r 12 b. 400 r 20 c. 401 r 12 d. 400 r 20

Mathematics

1 answer:

Readme [11.4K]2 years ago

6 0

I Believe that the correct answer is option C) 401 r

8,441 ÷ 21 = 401.952380952

HOPE THIS HELPED!!!

If not please comment below

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Samuel made a list of his test scores: 88, 100, 92, 80, 85, 94, and 90. What is the lowest test score he can get on his next tes

yulyashka [42]

Answer:

he needs to get a 91 to have a mean score of 90

Step-by-step explanation:

add up all the known scores to get 629

let 's' = lowest test score

(629 + s) ÷ 8 = 90 [we divide by 8 because there are 7 known and 1 unknown score)

cross-multiply to get:

629 + s = 720

s = 720-629

s = 91

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2 years ago

A team is being formed that includes eight different people. There are eight different positions on the teams. How many differen

abruzzese [7]

Answer:

40320 different ways

Step-by-step explanation:

That problem is a permutation one

We have eight people to occupy one position in a team, without any constraint at all

Total number of events = P(8)

P (8) = 8!

P (8) = 8*7*6*5*4*3*2*1

P (8) = 40320 different ways

6 0

3 years ago

PLEASE I NEED HELP PLEASE

nexus9112 [7]

Answer: Maybe 72 cm?

Step-by-step explanation: I did 6 times 12

Sorry if it’s wrong :(

6 0

2 years ago

Read 2 more answers

Suppose a simple random sample of size n is drawn from a large population with mean mu and standard deviation sigma. The samplin

Sidana [21]

Answer:

$X \sim N(\mu,\sigma)$

Where $\mu$ the mean and $\sigma$ the deviation

Since the distribution for X is normal then we can conclude that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = \mu$

$\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,\sigma)$

Where $\mu$ the mean and $\sigma$ the deviation

Since the distribution for X is normal then we can conclude that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = \mu$

$\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}$

6 0

2 years ago

Read 2 more answers

The polynomial p{x) = x4 -2x3 + 3x2 -ax+3a-7 when divided by x+1 leaves the remainder 19. Find the values of a. Also, find the r

Mrrafil [7]

Answer:

a = 5

Remainder when p(x) is divided by x+2 = 62

Step-by-step explanation:

Given:

P(x) = x⁴-2x³+3x²-ax+3a-7

When x+1 divides the polynomial p(x) the ramainder is 19.

Applying remainder theorem,

x = -1

p(-1) = 19

Substitute the x = -1 into the polynomial expression

p(-1) = (-1)⁴-2(-1)³+3(-1)²-a(-1)+3a-7 = 19

1+2+3+a+3a-7 = 19

6-7+4a = 19

4a-1 = 19

4a = 19+1

4a = 20

a = 20/4

a = 5.

Hence, a = 5

p(x) = x⁴-2x³+3x²-5x+8

If p(x) is divided by x+2,

Then the remainder is p(-2)

p(-2) = (-2)⁴-2(-2)³+3(-2)²-5(-2)+8

p(-2) = 16+16+12+10+8

p(-2) = 62

Hence the remaider when p(x) is divided by x+2 is 62

5 0

2 years ago