X + y = 10
2x + 4y = 36

Answers

Answer 1
Answer: If you would like to solve the following equations for x and y, you can calculate this using the following steps:
x + y = 10
2 * x + 4 * y = 36
_______________
x = 10 - y
2 * (10 - y) + 4 * y = 36
2 * 10 - 2 * y + 4 * y = 36
20 + 2 * y = 36
2 * y = 36 - 20
2 * y = 16    /2
y = 16/2
y = 8

x = 10 - y = 10 - 8 = 2

Result: x equals to 2 and y equals to 8.
Answer 2
Answer:


The first one is X,Y= 5

Number 2 Is x= 10 and y= 4


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A car insurance company has determined that 7% of all drivers were involved in an accident last year. If 11 drivers are selected at random, what is the probability that 3 or more were involved in an accident last year?

Answers

Using the binomial distribution, it is found that there is a 0.0369 = 3.69% probability that 3 or more were involved in an accident last year.

For each driver, there are only two possible outcomes, either they were involved in an accident, or they were not. The probability of a driver being involved in an accident is independent of any other driver, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)

C_(n,x) = (n!)/(x!(n-x)!)

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • 7% of all drivers were involved in an accident last year, hence p = 0.07.
  • 11 drivers are selected at random, hence n = 11.

The probability is:

P(X \geq 3) = 1 - P(X < 3)

In which:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

Then

P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)

P(X = 0) = C_(11,0).(0.07)^(0).(0.93)^(11) = 0.4501

P(X = 1) = C_(11,1).(0.07)^(1).(0.93)^(10) = 0.3727

P(X = 2) = C_(11,2).(0.07)^(2).(0.93)^(9) = 0.1403

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.4501 + 0.3727 + 0.1403 = 0.9631

P(X \geq 3) = 1 - P(X < 3) = 1 - 0.9631 = 0.0369

0.0369 = 3.69% probability that 3 or more were involved in an accident last year.

To learn more about the binomial distribution, you can check brainly.com/question/24863377

Answer:

Therefore the probability that 3 or more were involved in an accident last year is 0.376.

Step-by-step explanation:

Binomial distribution:

A discrete random variable X having the set {0,1,2.....,n} as the spectrum, is said to have binomial distribution with parameter n= the number of trial and p = probability of getting successes in one trial if the p.m.f of X is give by

P(X=x)=C(n,x)p^x(1-p)^(n-x)   for x=0,1,2,....,n

               =0                                   elsewhere

where C(n,x)= (n!)/(x!(n-x)!), n is a positive integer and 0<p<1.

Given that,

7% of all drivers were involved in an accident last year that was determined by a car insurance company.

p= 7%=0.07, n=11, x=3

P(X≥3)

= 1-P(X≤2)

= 1- P(X=0)-P(X=1)-P(X=2)

          =1- C(11,0)(0.07)^0(1-0.07)^(11)- C(11,1)(0.07)^1(1-0.07)^(10)- C(11,2)(0.07)^2(1-0.07)^(9)

=1- C(11,0)(0.07)^0(0.93)^(11)- C(11,1)(0.07)^1(0.93)^(10)- C(11,2)(0.07)^2(0.93)^(9)

=1-0.624

≈0.376

Therefore the probability that 3 or more were involved in an accident last year is 0.376.

in a circle graph, what is the measure of the central angle of a sector that represents 24% of the whole?

Answers

0.24*360=86.4 degrees
24/100 =x/360

100x=8640
x=86.4

What is the largest factor of 18 that is also a factor of 72

Answers

Factors of 18 are 1, 2, 3, 6, 9 , 18 ;
Factors of 72 are 1, 2, 3, 4, 6, 8, 9 , 12 , 18,  24, 36, 72 ;
The factors that are common to all two  numbers are 1, 2, 3, 6, 18 ;
The largest of the common factors is 18, so the Greatest Common Factor of 18 and 72 is 18 .

The Greatest Common Factor for 18 and 72 is 18

Choose all the numbers that 84 is divisible by.2
3
4
5
6
9
10

Answers

The number 84 is divisible by 2,3,4 and 6.

What is division?

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.

The numbers which divide 84 completely are:-

2 ⇒ 84 ÷ 2=24

3 ⇒ 84 ÷ 3=28

4 ⇒ 84 ÷ 4=21

6 ⇒ 84 ÷ 6=13

Hence, the numbers are 2,3,4 and 6.

To know more about division follow

brainly.com/question/4721701

#SPJ2

2↪84:2=24
3↪84:3=28
4↪84:4=21
6↪84:6=13

An electrician charges a one-time fee of $75 plus $25 for each hour of service. If h is the number of hours and t is the total amount billed to the customer, then the variables are related by the equation t = 25h + 75.Which variable is the independent variable?



A.T


B.
There is no relationship between the variables.


C.H

Answers

If you would like to know which variable is the independent variable, you can do this using the following steps:

t = 25h + 75
h ... the number of hours ... independent variable
t ... the total amount billed to the customer ... dependent variable

The correct result would be C. h.

The super speedway at Daytona International Speedway is 2.5 miles long. The road course there is 1.4 times as long as the super speedway. How long is the road course?

Answers

Answer:

3.5 miles

Step-by-step explanation:

From the question, we have the following information:

The super speedway at Daytona International Speedway is = 2.5 miles

long

The road course there is = 1.4 times as long as the super speedway.

How long is the road course?

The length of the road course is calculated as:

1.4 × length of the super speedway

1.4 × 2.5 miles

=>3.5 miles

Therefore, length of the road course I s 3.5 miles.