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Zanzabum
3 years ago
5

*The rectangle has a perimeter of 38 meters.

Mathematics
1 answer:
Scilla [17]3 years ago
8 0

Answer:

Width of the rectangle = 7 meters

Length of the rectangle = 12 meters

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Perimeter of the rectangle = 38 meters

Width of the rectangle = w

Length of the rectangle = w + 5

Perimeter of a rectangle = 2(length + width)

38 = 2{(w + 5) + w}

38 = 2(w + 5 + w)

38 = 2(2w + 5)

38 = 4w + 10

38 - 10 = 4w

28 = 4w

w = 28/4

w = 7 meters

Width of the rectangle = w

= 7 meters

Length of the rectangle = w + 5

= 7 + 5

= 12 meters

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Amazon was valued at 430 billion dollars. Write this number in scientific notation
pshichka [43]

Answer:

430 billion (430,000,000,000) is 4.3 x 10^11 in scientific notation

3 0
3 years ago
You are at a stall at a fair where you have to throw a ball at a target. There are two versions of the game. In the first
Tomtit [17]

Answer:

P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729

And the probability of loss with the first wersion is 0.729

P(Y=0)=(5C0)(0.05)^0 (1-0.05)^{5-0}=0.774

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

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

Alternative 1

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

X \sim Binom(n=3, p=0.1)

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!}

We can find the probability of loss like this P(X=0) and if we find this probability we got this:

P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729

And the probability of loss with the first wersion is 0.729

Alternative 2

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

Y \sim Binom(n=5, p=0.05)

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

P(Y)=(nCy)(p)^y (1-p)^{n-y}

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

nCy=\frac{n!}{(n-y)! y!}

We can find the probability of loss like this P(Y=0) and if we find this probability we got this:

P(Y=0)=(5C0)(0.05)^0 (1-0.05)^{5-0}=0.774

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

4 0
3 years ago
There are three consecutive even integers. If twice the first integer added to the second is 268,244, find all three integers.
r-ruslan [8.4K]

Answer:

89414,89416,89418

Step-by-step explanation:

Let n bet the positive integer and then 2n is an even integer because multiplying n with 2 makes it an even integer.

Now, 2n+2, 2n+4 are the next integers.

Therefore, three consecutive integers are: 2n, 2n+2, 2n+4.

It is given that twice the first integer added to the second is 268,244 that means:

2(2n)+(2n+2)=268244

4n+2n+2=268244

6n=268242

n=44707

Therefore, three consecutive integers are:

2n=89414, 2n+2=89416, 2n+4=89418

8 0
3 years ago
HELP ASAP!!FIRST CORRECT ANSWER WILL GET BRAINLIEST!!
earnstyle [38]
-23, hope this helps
3 0
3 years ago
Read 2 more answers
Find the greatest common factor
Anuta_ua [19.1K]

Answer:

1

Step-by-step explanation:

7w^2 and 9m^3 does not have any common factor except for 1

4 0
3 years ago
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