Ask question

Ask question

All categories

2 years ago

6

find the probability of making a five digit number form 2,3,4,7,8 in such a way that 7 is the first number and 8 is the last num

ber

1 answer:

ladessa [460]2 years ago

6 0

Answer:

n(E) = 6

Step-by-step explanation:

That's to say that there are 6 five-digit numbers with 7 in the first place and 8 in the last place, using the digits 2, 3, 4, 7 and 8. Therefore n(E) = 6.

You might be interested in

X-3=10 does anyone know this

vovikov84 [41]

Answer:

Are you trying to solve for x?

x= 13

just kick the 3 to the other side, so a negative 3 would become a positive 3:

x= 10 + 3

x= 13

You can also use cymath it gives you the answer and explanation.

Hope this helps.

5 0

3 years ago

What is the perimeter of this polygon

pantera1 [17]

you would need to add the fraction

8 0

3 years ago

Read 2 more answers

Mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.

Sergeeva-Olga [200]

Answer:

a. Mason's rent will increase by $302.40 next year.

b. Mason's new rent per month next year will be $445.20.

Step-by-step explanation:

The first question is asking us how much Mason's rent will increase next year.

If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:

$420* 12=$

$5040$

Therefore, Mason is currently paying $5040 a year.

With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.

<em>6% means 6 per cent/hundred, so it can be represented as:</em>

$\frac{6}{100}$

<em>The fraction </em> $\frac{6}{100}$ <em> can be represented as (we're two places behind the decimal, in the hundredths place)</em>:

$0.06$

Now, multiply the decimal form of 6% by $5040:

$0.06*5040=$

$302.40$

Therefore, Mason's rent will increase by $302.40 next year.

-

To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:

$302.40$ ÷ $12=$

$25.20$

Now, that we know the rent per month will increase by $25.20 next year, we can add $25.20 to Mason's current rent per month:

$420+25.20=$

$445.20$

Therefore, Mason's new rent per month next year will be $445.20.

7 0

3 years ago

Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using

IgorLugansk [536]

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The product:

$A * B = \frac{1}{2} * \frac{2}{3}$

$A * B = \frac{1}{1} * \frac{1}{3}$

$A * B = 1 * \frac{1}{3}$

$A * B = \frac{1}{3}$

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The quotient:

$A / B = \frac{1}{2} / \frac{2}{3}$

Express as product

$A / B = \frac{1}{2} / \frac{3}{2}$

$A / B = \frac{1*3}{2*2}$

$A / B = \frac{3}{4}$

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

$x = \frac{1}{2}$

$y = \frac{2}{3}$

The sum:

$x + y = \frac{1}{2} + \frac{2}{3}$

Take LCM

$x + y = \frac{3+4}{6}$

$x + y = \frac{7}{6}$

Proved, because 7/6 is rational

<em>The above proof works for all values of A, B, x and y; as long as they are rational values</em>

8 0

3 years ago

Find the slope given (2,7) and (4,4)

8090 [49]

<h3>Answer:</h3>

m= -3/2

<h3>Step by step:</h3>

m=y1-y2/x1-x2 = 4-7/4-2 = -3/2

8 0

3 years ago