All categories

4 years ago

What is the simplified version of 10x(426)

Mathematics

2 answers:

Effectus [21]4 years ago

3 0

4260 is the answer

i dont know what you mean by simplified

Nata [24]4 years ago

3 0

426 to the first power of ten

You might be interested in

Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passe

Angelina_Jolie [31]

Answer:

a) $P(X=0)=(3C0)(0.8)^0 (1-0.8)^{3-0}=0.008$

$P(X=1)=(3C1)(0.8)^1 (1-0.8)^{3-1}=0.096$

$E(X) = np = 3*0.8= 2.4$

We expect 2.4 successes in a sample of three selected.

And the standard deviation is given by:

$Sd(X)= \sigma = \sqrt{np(1-p)}=\sqrt{3*0.8*(1-0.8)}= 0.693$

Represent the typical variation around the mean.

b) $Y \sim Binom(n=4, p=0.8)$

And we want this probability:

$P(Y=3)=(4C3)(0.8)^3 (1-0.8)^{4-3}=0.4096$

c) $Z \sim Binom(n=4, p=0.8)$

And we want this probability:

$P(Z=3)=(4C3)(0.8)^3 (1-0.8)^{4-3}=0.4096$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Part a

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=3, p=0.8)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

And we want the following probabilities

$P(X=0)=(3C0)(0.8)^0 (1-0.8)^{3-0}=0.008$

$P(X=1)=(3C1)(0.8)^1 (1-0.8)^{3-1}=0.096$

The mean is given by:

$E(X) = np = 3*0.8= 2.4$

We expect 2.4 successes in a sample of three selected.

And the standard deviation is given by:

$Sd(X)= \sigma = \sqrt{np(1-p)}=\sqrt{3*0.8*(1-0.8)}= 0.693$

Represent the typical variation around the mean.

Part b

Let Y the random variable of interest, on this case we now that:

$Y \sim Binom(n=4, p=0.8)$

And we want this probability:

$P(Y=3)=(4C3)(0.8)^3 (1-0.8)^{4-3}=0.4096$

Part c

Let Z the random variable of interest, on this case we now that:

$Z \sim Binom(n=4, p=0.8)$

And we want this probability:

$P(Z=3)=(4C3)(0.8)^3 (1-0.8)^{4-3}=0.4096$

6 0

3 years ago

This problem is about Unit rates, though I don't exactly understand, could you guys help?

antoniya [11.8K]

Answer:

6 cups of sugar for each cup of butter.

Step-by-step explanation:

cups of sugar to butter.

This is saying for every 3/4 cups of sugar you add 1/8 cups of butter

to find the cup of sugar to butter you must make 1/8 cups of butter a whole number

1/8 * 8 = 1

now multiply 3/4 by the same number you multiplied the cups of butter

3 / 4 * 8 = 6

every cup of butter gets 6 cups of sugar.

(I dont know what it is asking for, at the part on the chart. but I hope this gives an idea!)

6 0

2 years ago

The population of a town increases at a rate of 5% every year. The population of this town was 10,400 in 2017. What will the pop

galben [10]

Answer:

The population of the town in 2020 will approx. be 12,039.

Step-by-step explanation:

The initial population in the year 2017 = 10,400

Increase in population every yea r = 5%

Now, 5% of 10, 400 = $\frac{5}{100} \times 10, 400 = 520$

Hence, the population in the year 2018 = 10,400 + 520 = 10,920

Now, in the year 2019

5% of 10, 920 = $\frac{5}{100} \times 10, 920 = 546$

Hence, the population in the year 2019 = 10,920 + 546 = 11,466

Now, in the year 2020

5% of 11,466 = $\frac{5}{100} \times 11,466 = 573.3$

or, the population in the year 2020 = 11,466 + 573.3 = 12,039.3

The population of the town in 2020 will approx. be 12,039.

6 0

3 years ago

Evaluate the expression when b=3 and x= -2.<br> -b + 8x

jolli1 [7]

b=3 and x= -2.

-b + 8x

-3 + 8(-2)

-3 + -16

-19

have a great day :)

7 0

3 years ago

An enclosure at the zoo contains 16 meerkats.

Elena L [17]

Asleep. 6/16 Simplified would be 3/8

Awake. 10/16 Simplified would be 5/8

How I did it was by using the amount that was asleep and awake as numerators and the TOTAL is 16 so that is the denominator.

Hope this helps, let me know if you have any questions, have a good day!

3 0

4 years ago