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4 years ago

Answer the following using the distributive property (3,225 × 4)

Mathematics

1 answer:

Yakvenalex [24]4 years ago

7 0

Ok so

(3,225 x 4)

We would distribute each place value of 3,225 and then multiply it by 4

So the value of 3 in 3,225 is 3,000

3,000 x 4 = 12,000

The value of the first two after the 3 is 200

200 x 4 = 800

The value of the other two before 5 is 20

20 x 4 = 80

And finally, the value of the 5 is 5

5 x 4 = 20

Now, we have to add up all of our answers

12,000 + 800 + 80 + 20

Your answer is 12,900

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A population of red-bellied snakes is known to have a ratio of grey color morph to red color morph of 53:47. You wish to know th

Vsevolod [243]

Answer:

The probability is $P(X\leq 10)=0.093031581$

Step-by-step explanation:

We know that the ratio of grey color morph to red color morph is $53:47$

This can be written in terms of probability as :

$P(RedColorMorph)=\frac{47}{100}=0.47$

This means that the probability of obtain a red color morph snake in a random sample of 100 snakes is $0.47$ (If I only randomly select one snake).

Now, the number $X$ of red color morph snakes in a random sample ''n'' can be modeled as a binomial random variable. Where ''p'' is the success probability (In our case, the probability from obtain one red color morph snake out of 100 snakes) ⇒

$X:$ ''Number of red color morph snakes in the sample''

$p=0.47$

In our case, $n=30$

⇒ $X$ ~ Bi (n,p) ⇒ $X$ ~ Bi (30,0.47)

The probability function for $X$ is :

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

Where $nCx$ is the combinatorial number define as $nCx=\frac{n!}{x!(n-x)!}$ ⇒

$P(X=x)=(30Cx).(0.47)^{x}.(0.53)^{30-x}$

We need to calculate the probability of $P(X\leq 10)$

This probability is equal to :

$P(X\leq 10)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)+P(X=6)+P(X=7)+P(X=8)+P(X=9)+P(X=10)$

For example,

$P(X=6)=(30C6).(0.47)^{6}.(0.53)^{24}=0.0015446$

We need to calculate all the terms of the sum and then calculate $P(X\leq 10)$

If we use any statistical program we will find that

$P(X\leq 10)=0.093031581$

7 0

3 years ago

Patty lives on a chicken farm and can collect 80 eggs in 2 hours. At that rate how long will it take her to collect 360 eggs?

Mamont248 [21]

Answer:

9 hours

Step-by-step explanation:

First we have to calculate how many eggs she can collect in an hour. All we have to do to do this is divide 80 by 2, as if she can collect 80 in 2 hours, in one hour, half of the time, she can collect have of the eggs. This means that she can collect 40 eggs in one hour.

Now all we have to do is divide how many eggs she wants to collect by how many she can collect per hour, which will give how many hours it will take. In this case 360/40=9, so it will take her 9 hours.

3 0

3 years ago

Read 2 more answers

Examine the two similar triangles below solve for y need by 11:59 for final exam

Sloan [31]

Answer:

Step-by-step explanation:

dont listen to me this is a wrong answer

8 0

3 years ago

I forgot how to do this plz help

stepan [7]