Find the probability that the number is in set A’ giving your answer as a decimal

Answers

Answer 1

Answer:

Answer:

0.7

Step-by-step explanation:

The probability that the number is in set A’ is the probability that a number is not in set A.

From the venn diagram attached below, they are two sets, set A and set B. Set A has 3 elements {15, 12 18}, Set B has 5 elements {12 18 10 14 16}.

The total number of elements in the universal set is 10 i.e {10 11 12 13 14 15 16 17 18 19}

therefore the number of elements in set A' is 7, i.e {10 11 13 14 16 17 19}.

the probability that the number is in set A’ = number of elements in set A'/number of elements in the universal set

probability that the number is in set A’ = 7 / 10 = 0.7

Answer 2

Answer:

Answer:

0.7

Step-by-step explanation:

count them up and decide by how many there are then simplify

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Change the fraction 3 /4 to a percent. A. 63% B. 133% C. 75% D. 34%
What is the image of (-4,-7)(−4,−7) after a reflection over the x-axis?
Simplify the following expression:-9(14p - 8) - 4p
What is the answer for N+4=6

Label the place value 9 is in 7854.209

Answers

Thousandth ( Tth )
The reason is just because of the place value laws.

What is the work to this ? 6=-3(x+2)

Answers

♥ To solve this you are going to find x. ♥

♥ X in this case is representing a unknown variable, meaning we are not sure of the number x, and to finish the solution to your problem we have to find x.

♥ So to find x the first step is to simplify both sides of the equation.

♥ Starting with distribution:

$6=(-3)(x)+(-3)(2) \n 6=-3x+-6 \n 6=-3x-6$

♥ Now we want to flip the equation.

$-3x-6=6$

♥ Our next and almost final step, is to add the number -3 to both sides of our problem. This is going to help us tremendously.

$-3x-6+6=6+6 \n -3x=12$

♥ Now our last step before we get our answer is to divide both sides of the problem. In this case we are going to do this:

$(-3x)/(-3) = (12)/(-3)$

♥ And then because of that we get our final answer of: -4.

♥ x=-4 ♥

The equation of a line is 2(y + 1) = 10x + 3. The y-intercept of the line is ______ , and the slope of the line is ______.

Answers

Answer:

The y-intercept of the line is $(1)/(2)$ , and the slope of the line is 5.

Step-by-step explanation:

The equation of a line is 2 (y + 1 ) = 10x + 3

We have to find y-intercept and slope of the given line.

We will convert this equation into the standard form of the equation of a line.

2(y+1) = 10x + 3

2y + 2 = 10x + 3

2y = 10x + 3 - 2

2y = 10x + 1

y = $(1)/(2)$ (10x + 1)

y = 5x + $(1)/(2)$

Now the slope of the line is 5 and y-intercept will be $(1)/(2)$ .

2(y+1) = 10x + 3
2y + 2 = 10x + 3
2y = 10x +1
y = 10/2x + 1/2

y = 5x + 1/2

Y-intercept is 1/2
Slope/m is 5

Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer. 1 inch ≈ 1.578 × 10 -^5 miles.

Answers

Answer:

7.763×10^7 inches

Step-by-step explanation:

$(1225\,mi)(1\,in)/(1.578\cdot 10^(-5)\,mi)=(12.25)/(1.578)\cdot 10^(2-(-5))\,in \approx 7.763\cdot 10^7\,in$

When writing 1225 in scientific notation, it is convenient to choose an exponent so that the division result comes out with the right scale factor. It is easy to see that 1.2 < 1.6, so use of numbers with exactly one digit to the left of the decimal point would result in a fraction as an answer. We want the answer to have 1 digit left of the decimal point, so by scaling the operands to be 12. and 1.6, we get that result. Of course, the powers of 10 are adjusted accordingly.

This scaling process only matters if you're computing the results by hand. Any calculator can properly keep track of the required exponents.

"Back in the day" when slide rules were the calculating tool of choice, the operands and answer to any multiplication or division problem were only shown as 3 (sometimes 4) significant digits. All of the power-of-ten scaling was done "by hand" (usually, mentally). That is, the division would be 1225/1578 ≈ 776 × some scale factor. This is where thinking of the numbers as 12.25/1.578 = 7.76 comes in handy.

Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pine tree is 2121 21 meters. The height of 44 4 fir trees stacked on top of each other is 2424 24 meters taller than one pine tree. How tall are the types of trees that Logan genetically engineered?

Answers

Answer: The height of fir tree is 9 meters and the height of pine tree is 12 meters.

Step-by-step explanation:

Given : The combined height of one fir tree and one pine tree = 21 meters.

Since, the height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Let x be the height of fir tree and y be the height of pine tree.

Then we get the following equations:

$x+y=21...............(1)\n4x-y=24.........(2)$

Adding (1) and (2) we get

$5x=45\n\Rightarrow\ x=9$

Substitute the value of x in (1), we get

$9+y=21\n\Rightarrow\ y=21-9=12$

Hence, the height of fir tree is 9 meters and the height of pine tree is 12 meters.

Which of the following gives an example of a set that is closed under multiplication? Choose all that apply.. . . . A. The product of a perfect cube and a perfect cube. B. The product of 0 and 0. C. The product of a whole number and a whole number. D. The product of a perfect square and a perfect square. . I think its b and c? help anyone...

Answers

All the four choices that are given in the question can be considered as as examples of a set that is closed under multiplication. The correct options among all the options that are given in the question are options "A", "B", "C" and "D". I hope that the answer has come to your help.