12. Solve the inequality 809 >-11 + n.

Find the product of (1.2 · 10-2) and (3.65 · 108). In your final answer, include all of your calculations

Blababa [14]

I think the answer is this,I am not sure.....

7 0

3 years ago

A farmer has 212 acres of land for sale. He divides the land into 8 equal sections. About how many acres are in each section?

faust18 [17]

About 26 and a half acres of land in each section

4 0

3 years ago

Amelia wants to buy 6 sausage Rolls. Each sausage rolls costs 84p.Amelia pays with a £20 note. Work out how much change Amelia w

IrinaVladis [17]

Answer:

Step-by-step explanation:

6*84p=504p

504p=£5.04

£20-£5.04=14.96

8 0

3 years ago

Bottling cola A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 3

erik [133]

Answer:

$P(X$

And we can find this probability using the normal standard table or excel:

$P(Z$

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 amount of ml of a population, and for this case we know the distribution for X is given by:

$X \sim N(298,3)$

Where $\mu=298$ and $\sigma=3$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the normal standard table or excel:

$P(Z$

4 0

4 years ago

An urn contains two blue balls (denoted B1 and B2) and three white balls (denoted W1, W2, and W3). One ball is drawn, its color

alekssr [168]

Answer:

(a) Shown below.

(b) The probability that the first ball drawn is blue is 0.40.

(c) The probability that only white balls are drawn is 0.36.

Step-by-step explanation:

The balls in the urn are as follows:

Blue balls: B₁ and B₂

White balls: W₁, W₂ and W₃

It is provided that two balls are drawn from the urn, with replacement, and their color is recorded.

(a)

The possible outcomes of selecting two balls are as follows:

B₁B₁ B₂B₁ W₁B₁ W₂B₁ W₃B₁

B₁B₂ B₂B₂ W₁B₂ W₂B₂ W₃B₂

B₁W₁ B₂W₁ W₁W₁ W₂W₁ W₃W₁

B₁W₂ B₂W₂ W₁W₂ W₂W₂ W₃W₂

B₁W₃ B₂W₃ W₁W₃ W₂W₃ W₃W₃

There are a total of N = 25 possible outcomes.

(b)

The sample space for selecting a blue ball first is:

S = {B₁B₁, B₁B₂, B₁W₁, B₁W₂, B₁W₃, B₂B₁, B₂B₂, B₂W₁, B₂W₂, B₂W₃}

n (S) = 10

Compute the probability that the first ball drawn is blue as follows:

$P(\text{First ball is Blue})=\frac{n(S)}{N}=\frac{10}{25}=0.40$

Thus, the probability that the first ball drawn is blue is 0.40.

(c)

The sample space for selecting only white balls is:

X = {W₁W₁, W₂W₁, W₃W₁, W₁W₂, W₂W₂, W₃W₂, W₁W₃, W₂W₃, W₃W₃}

n (X) = 9

Compute the probability that only white balls are drawn as follows:

$P(\text{Only White balls})=\frac{n(X)}{N}=\frac{9}{25}=0.36$

Thus, the probability that only white balls are drawn is 0.36.

4 0

3 years ago