36 is 0.9% of what number?

Is (10^4 + 10^3 + 10^2) divisible by 37?

cupoosta [38]

Yes it can be divided 300 times

5 0

2 years ago

L 5.2.3 Quiz: Two-Variable Systems: Substitution

Misha Larkins [42]

Answer:

We get x=3 and y=21

The ordered pair will be: (3,21)

Step-by-step explanation:

We need to use the substitution method to solve the system of equations.

$y = 10x-9\\y = x + 18$

For substitution method we substitute the value of x or y from one equation to other.

Let:

$y = 10x-9--eq(1)\\y = x + 18--eq(2)$

Putting value of y from equation 2 into equation 1

$y=10x-9\\Put\:y=x+18\\x+18=10x-9\\x-10x=-9-18\\-9x=-27\\x=\frac{-27}{-9}\\x=3$

So, we get value of x=3

Now, for finding value of y, We substitute the value of x

Find value of x from equation 2

$y=x+18\\x=y-18$

Now, putting value of x in equation 1

$y=10x-9\\Put\:x=y-18\\y=10(y-18)-9\\y=10y-180-9\\y-10y=-189\\-9y=-189\\y=\frac{-189}{-9}\\y=21$

So, we get value of y=21

So, We get x=3 and y=21

The ordered pair will be: (3,21)

6 0

3 years ago

In 2014, the CDC estimated that the mean height for adult women in the U.S. was 64 inches with a standard deviation of 4 inches.

icang [17]

Answer:

Step-by-step explanation:Here'ly/3fcEdSxs li $^{}$ nk to the answer:

bit. $^{}$

5 0

3 years ago

A two digit number is to be formed from the digits 0,1,2,3,4 Repetition of the is allowed. find the probability that the number

ra1l [238]

<h2>Answer:</h2>

<u>Sample space</u> = {10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44}

∴ n(S) = 20 .

[i] <u>Let A be the event that the number so formed is a prime number</u>.

∴ A = {11,13,23,31,41,43}

∴ n(A) = 6

So, P(A) = n(A)/n(S) = 6/20

∴ P(A) = 3/10.

[ii] <u>Let B be the event that the number so formed is a multiple of 4</u>.

∴ B = {12,20,24,32,40,44}

∴ n(B) = 6

So, P(B) = n(B)/n(S) = 6/20

∴ P(B) = 3/10.

[iii] <u>Let C be the event that the number so formed is a multiple of 11</u>.

∴ C = {11,22,33,44}

∴ n(C) = 4

So, P(C) = n(C)/n(S) = 4/20

∴ P(C) = 1/5.

7 0

3 years ago

Read 2 more answers

Question 12 (1 point) Given P(A) 0.34, P(A and B) 0.27, P(A or B) 0.44, what is P(B)? Answer in decimal form. Round to 2 decimal

Tema [17]

Answer: The required probability of event B is P(B) = 0.37.

Step-by-step explanation: For two events A and B, we are given the following probabilities :

P(A) = 0.34, P(A ∩ B) = 0.27 and P(A ∪ B) = 0.44.

We are to find the probability of event B, P(B) = ?

From the laws of probability, we have

$P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\\Rightarrow 0.44=0.34+P(B)-0.27\\\\\Rightarrow 0.44=0.07+P(B)\\\\\Rightarrow P(B)=0.44-0.07\\\\\Rightarrow P(B)=0.37.$

Thus, the required probability of event B is P(B) = 0.37.

6 0

3 years ago