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3 years ago

Find the volume of the sphere d=18

Mathematics

1 answer:

Lyrx [107]3 years ago

5 0

Answer:

3053.62806

Step-by-step explanation:

d=18 so r=9

(check attachement)

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What is the economic term used for sustained increase in the price of goods and services?

vova2212 [387]

The economic term used to describe a period of sustained increase in the prices of goods and services is called inflation. Inflation is characterised mainly by a general increase in the prices of goods and services and a reduction in the currency's purchasing power. Hope this helps. Let me know if you need additional help!

8 0

4 years ago

What is 652.42 rounded to the hundreds place

Brilliant_brown [7]

Answer:

650.00

Step-by-step explanation:

2 is the hundreds place but since its not 5 or over it will be 0

4 0

3 years ago

The Alvin Secretarial Service procures temporary office personnel for major corporations. They have found that 60% of their invo

Hoochie [10]

Answer:

0.9942 = 99.42% probability that at least 6 of the invoices will be paid within ten working days

Step-by-step explanation:

For each invoice, there are only two possible outcomes. Either they are paid within 10 working days, or they are not. The probability of an invoice being paid within 10 working days is independent of other invoices. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

60% of their invoices are paid within ten working days.

This means that $p = 0.6$

A random sample of 18 invoices is checked.

This means that $n = 18$

What is the probability that at least 6 of the invoices will be paid within ten working days?

Either less than 6 are paid within 10 working days, or at least 6 are paid. The sum of the probabilities of these events is 1. So

$P(X < 6) + P(X \geq 6) = 1$

We want $P(X \geq 6)$ . So

$P(X \geq 6) = 1 - P(X < 6)$

In which

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

Then

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{18,0}.(0.6)^{0}.(0.4)^{18} \approx 0$

$P(X = 1) = C_{18,1}.(0.6)^{1}.(0.4)^{17} \approx 0$

$P(X = 2) = C_{18,2}.(0.6)^{2}.(0.4)^{16} \approx 0$

$P(X = 3) = C_{18,3}.(0.6)^{3}.(0.4)^{15} = 0.0002$

$P(X = 4) = C_{18,4}.(0.6)^{4}.(0.4)^{14} = 0.0011$

$P(X = 5) = C_{18,5}.(0.6)^{5}.(0.4)^{13} = 0.0045$

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0 + 0 + 0 + 0.0002 + 0.0011 + 0.0045 = 0.0058$

Finally

$P(X \geq 6) = 1 - P(X < 6) = 1 - 0.0058 = 0.9942$

0.9942 = 99.42% probability that at least 6 of the invoices will be paid within ten working days

6 0

4 years ago

What is the cube answer to 24

patriot [66]

Do you mean cube root because the cube root of 24 is 2.88 and other repeating decimals

7 0

3 years ago

Read 2 more answers

Find the answer to the equation 9x-7i >3(3x-7u)

TEA [102]

You cannot really find an exact value for the answer to this. Instead you can write the inequality in terms of the variables.

9x-7i >3(3x-7u)
9x-7i > 9x -21u
9x - 9x -7i > -21u
-7i > -21u
We need to divide both sides with -7 therefore we also need to flip the sign. Therefore, the answer is,

i<3u

8 0

3 years ago