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2 years ago

15

What is the solution to the system of equations?

1 answer:

mezya [45]2 years ago

5 0

Answer:

(0, 3)

Step-by-step explanation:

i did it algebraically and then graphed it and (0, 3) checks out

it's a lot to type to show the algebraic way but i will do it if you want to see it

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A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12). Find the probability of rolling a

levacccp [35]

Answer:

$P(x>12) = 0$

Step-by-step explanation:

Given

$x = \{1,2,3,4,5,6,7,8,9,10,11,12\}$ --- outcomes

$n(x) = 12$ -- sample size

Required

$P(x > 12)$

This is calculated as:

$P(x > 12) = \frac{n(x > 12)}{n(x)}$

$n(x>12) = 0$ because none of the outcomes is greater than 12:

So:

$P(x > 12) =\frac{0}{12}$

$P(x>12) = 0$

6 0

3 years ago

QUESTION 6 What is the mean of the following set of data? Round your answer to two decimal places. 78, 82, 91, 100, 78, 92, 82,

guajiro [1.7K]

Mean is the average number. To find mean, add all the numbers and divide by how many numbers there are.

$78 + 82 + 91 + 100 + 78 + 92 + 82 + 77 + 80 = 760$

There are 9 numbers. Divide by 9

$760 \div 9 = 84.44$

Question 6 ⇒ C. 84.44

Median is the middle number when ordered from least to greatest. First order the numbers.

$4, 5, 6, 9, 10, 11, 12, 13, 15, 16$

The 2 middle numbers are 10 and 11. Add them together and divide by 2

$10 + 11 = 21 \\ 21 \div 2 = 10.5$

Question 7 ⇒ D. 10.5

8 0

4 years ago

Read 2 more answers

(6x^2y^3)^2 ÷ 4x^2y^5

SOVA2 [1]

The correct answer to this equation is 9x to the 2nd power and y

3 0

3 years ago

computing definite integral by appealing to geometric formulas Graph the following definite integral then find the exact area of

sergiy2304 [10]

First integral

Since $f(x)=3x+1$ is a linear function, its graph is a line. This means that you can decompose the area under its graph as the sum of a right triangle and a rectangle, as shown in the attached image.

All the dimensions are fairly easy to deduce: we have

$AC = 2,\ CB=6$

So, the area of the triangle is

$A_t = \dfrac{2\times 6}{2}=6$

For the rectangle, we have

$A_r = AC\times CE = 2\times 4=8$

So, the total area is $6+8=14$

Second integral

We have

$y = \sqrt{1-x^2} \implies y^2=1-x^2 \implies x^2+y^2=1$

So, this function is the upper half of the unit circle (the two halves are the functions $y=\pm\sqrt{1-x^2}$ )

Since the area of the unit circle is $\pi$ , the value of the integral is $\frac{\pi}{2}$

Third integral

It follows the exact same logic as the first one, you only have to adjust the numbers.

4 0

3 years ago

F(r) = 3.14r2. what is f(5)?

rjkz [21]

Answer:

f(5)= 78.5. I hope this helps!!

5 0

3 years ago