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gulaghasi [49]
4 years ago
11

Why does it make sense to use 660 and 60 to estimate the quotient

Mathematics
1 answer:
Alexxx [7]4 years ago
5 0
What the qoutient sweetheart
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Fins the value of (15)^3 + (-9)^3 + (-6)^3 , without actually cubing the numbers​
Hatshy [7]

a³ + b³ + c³ + 3abc = ( a + b + c)(a² + b² + c² + ab + bc + ca)

if a + b + c = 0. then a³ + b³ + c³ = 3abc

here a + b + c = 15 + (-9) + (-6)

a + b + c = 15 - 15

a + b + c = 0

so a³ + b³ + c³ = 3abc

15³ + (-9)³ + (-6)³ = 3(15)(-9)(-6)

= 2430

so the answer is 2430

8 0
3 years ago
How do u divide 100 by 625 to get.16
jolli1 [7]
I get 6.25 I don't see that
6 0
3 years ago
Two companies, A and B, make express delivery for small-item packages in a city. Company A charges a flat fee of RM70 per packag
bazaltina [42]

Using the <u>normal probability distribution and the central limit theorem</u>, it is found that:

a) There is a 0.1922 = 19.22% probability that Company B would charge more than Company A to deliver a small-item package.

b) The mean amount charged is of RM 51.5, with a standard deviation of 21.35.

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

By the Central Limit Theorem:

  • When a <u>fixed constant k</u> multiplies a variable, the mean is k\mu and the standard deviation is k\sigma
  • When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

In this question, b is needed to solve a, so I am going to place the solution to item b first.

Item b:

Flat fee of RM20(not considered for the standard deviation), plus a variable fee of RM3.5, hence:

\mu_B = 20 + 3.5(9) = 51.5

\sigma = 6.1(3.5) = 21.35

The mean amount charged is of RM 51.5, with a standard deviation of 21.35.

Item a:

This probability is P(B - A) > 0. For the distribution, we have that:

\mu_{B-A} = \mu_B - \mu_A = 51.5 - 70 = -18.5

Since A has a constant fee, it's standard deviation is 0, hence:

\sigma_{B-A} = \sqrt{\sigma_A^2 + \sigma_B^2} = \sqrt{21.35^2} = 21.35

The probability is <u>1 subtracted by the p-value of Z when X = 0</u>, so:

Z = \frac{X - \mu}{\sigma}

Z = \frac{0 + 18.5}{21.35}

Z = 0.87

Z = 0.87 has a p-value of 0.8078.

1 - 0.8078 = 0.1922.

0.1922 = 19.22% probability that Company B would charge more than Company A to deliver a small-item package.

A similar problem is given at brainly.com/question/25403659

3 0
2 years ago
?/?/ PLease HelP!!!!!!!!!!!!!!!!!!
shtirl [24]

Answer:

what grade is this for

Step-by-step explanation:

4 0
3 years ago
The perimeter of a rhombus is 28 centimeters. What is the length of each side of the rhombus?
atroni [7]
It would be seven centimeters on each side'


8 0
3 years ago
Read 2 more answers
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