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Ivan
3 years ago
5

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is

Mathematics
1 answer:
andriy [413]3 years ago
7 0

Answer:0.2

Step-by-step explanation:

A=3

P(A)=P(3)

=0.2

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Solve x – 7 > –8.
IgorC [24]
Question 1.

x - 7 > - 8

Adding 7 to both sides, we get:

x - 7 + 7 > - 8 + 7

x > -1

Thus the answer to the inequality is option Fourth.

Question 2.

A number exceeds 66. Let that number be x. The number exceeds 66 means that the number is larger than 66. So in form of an expression we can write the inequality as:

x is greater than 66

x > 66

So, option 1st gives the correct answer.


Question 3.

The tiles are square shaped and area of a square can be calculated as the square of its Length.

Area of square = (Length)²

If we are given the Area, we can find the length as:

Length = \sqrt{Area}

For Tile A, the length will be:

Length= \sqrt{9}=3  
So length is a Rational number

For Tile B, the length will be:

Length= \sqrt{25}=5  
So length is a Rational number

For Tile C, the length will be:

Length= \sqrt{34}  
So, Length is not Rational.

For Tile D, the length will be:

Length= \sqrt{76}  
Length is not Rational

Thus, the lengths of Tile A and Tile B are rational only.

Therefore, the correct answer is 1st option  
8 0
3 years ago
Find f-1(x), if f(x) = 3x – 6. Justify your
Sergio039 [100]
Answer: 1/3 (x + 6)

Explanation: given f(x) = 3x - 6.
Let y = f(x) and so y = 3x - 6.
Trade places between x and y.
x = 3y - 6
Solve for y
x + 6 = 3y
y = x + 6/3
Now the new y is the inverse and so y = f-1(x)
f-1(x) = 1/3(x + 6)
4 0
2 years ago
What is an equation of the line that is parallel to y=3x-8 and passes through the point, (4,-5)
VladimirAG [237]

Answer:

y= 3x-17

Step-by-step explanation:

When finding a parallel equation to y=mx+b, mx will always stay the same. So we have to find b.

In order to do this you plug the parallel lines passing point into the equation.

-5(y) goes into the y's spot. 4(x) goes into the x's spot.

-5 = 3 x 4 + b

-5 = 12 + b

-5 - 12 = 12 - 12 + b

-17 = b

y=3x-17

5 0
2 years ago
Need help with this question plz!!
mel-nik [20]

Let us consider the image on the left that is the image in which 1 and 2 , 3 and 4 are connected as image 1 and the other as image 2.

1. All Vertices are connected by the least amount of edges. True

2. Vertex 1 and 2 are not connected. This is false for image

1 and true for image 2

3.  Vertex 3 and 4 are not connected. This is false for image

1 and true for image 2

4. You can get to Vertex 1 from Vertex 4 by going through Vertex 3. This is true for image 1

5 0
3 years ago
Read 2 more answers
At what rate per annum ci will RS 2000 amount to RS 2315.35 in 3 years
Mashutka [201]

<u>ANSWER: </u>

Rate per annum at which CI will amount from RS 2000 to RS 2315.35 in 3 years is 5%

<u>SOLUTION: </u>

Given,  

P = RS 2000

C.I = RS 2315.35

T = 3 years

We need to find the rate per annum. i.e. R = ?

We know that,  

When interest is compound Annually:

Amount $=\mathrm{P}\left(1+\frac{\mathrm{R}}{100}\right)^{n}$

Where p = principal amount

r = rate of interest

n = number of years

$2315.35=2000 \times\left(1+\frac{R}{100}\right)^{3}$

$\left(1+\frac{R}{100}\right)^{3}=\frac{2315.35}{2000}$

$\left(1+\frac{R}{100}\right)^{3}=1.157$

$1+\frac{R}{100}=\sqrt[3]{1.157}$

$1+\frac{R}{100}=1.0500$

$\frac{R}{100}=1.05-1$

$\frac{R}{100}=0.05$

R = 5%

Hence, rate per annum is 5 percent.

3 0
3 years ago
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