k/π = 6.7 (Solve For k)

To find if events A and B are mutually exclusive given a sample space, check if they can occur at the same time. If P(A AND B) = 0, they are mutually exclusive. If they share common outcomes, they are not mutually exclusive.

To determine if two events in a sample space are mutually exclusive, you need to evaluate if the two events can occur simultaneously. If two events, A and B, are mutually exclusive, this means that they cannot happen at the same time, and therefore the probability of A AND B occurring together, denoted as P(A AND B), is zero.

Answer:

it is 40 f to -3 f

Step-by-step explanation:

so i just subtracted and got 3 supposedly. than ad another 37 and got 40 so it is 40 f to - 3 f

The sum of the two consecutive positive integers, approximated to be 51 and 52, is 103.

If the quotient of two consecutive positive integers is 1.02, it indicates a very small difference between the two integers.

However, since integers cannot have fractional parts, the quotient cannot be exactly 1.02. If we assume the quotient is approximately 1.02, it means the two consecutive integers are very close to each other.

Let's solve it:

Let's denote the smaller integer as x, then the larger one would be x + 1.

So, we have:

[tex]\[\frac{x}{x + 1} \approx 1.02\][/tex]

Now, we can cross multiply:

[tex]\[x \approx 1.02(x + 1)\][/tex]

[tex]\[x \approx 1.02x + 1.02\][/tex]

Subtract 1.02x from both sides:

[tex]\[0.02x \approx 1.02\][/tex]

Now, divide both sides by 0.02:

[tex]\[x \approx \frac{1.02}{0.02}\][/tex]

[tex]\[x \approx 51\][/tex]

So, one integer is approximately 51. The next consecutive integer would then be 52.

The sum of these two integers is 51 + 52 = 103.

Thus, the sum of the two consecutive positive integers is approximately [tex]\(\boxed{103}\).[/tex]

1:4 is the answer to the question.

Answer:

Option B. 1 : 4.

Step-by-step explanation:

In a lab 30% acid solution and 5% acid solution were mixed to prepare 10% acid solution.

We have to calculate the ratio of both the acids should be mixed to prepare 10% acid solution.

Let the volume of 30% solution was used = x ml

and the volume of 5% acid was used = y ml

Therefore the equation will form as

30%.x + 5%.y = 10%.(x + y)

0.30x + 0.05y = 0.10(x + y)

Now we transfer the similar terms in one side of the equation.

0.30x - 0.10x = 0.10y - 0.05y

0.20x = .05y

[tex]\frac{x}{y}= \frac{.05}{0.20}[/tex]

x : y :: 1 : 4

Therefore solutions will be mixed in a ratio of 1 : 4

Option B. 1 : 4 is the right answer.  

Answer:

4.47

Step-by-step explanation:

Given : [tex]\sqrt{20}[/tex]

To Find : Which is a better approximation

Solution:

20 lies between two perfect squares i.e. 16 and 25

Square root of 16 = 4

Square root of 25 = 5

So, Square root of 20 must lie between 4 and 5

Using calculator

The [tex]\sqrt{20}=4.47[/tex]

Hence a better approximation of the square root of 20 is 4.47.

The system of equations are  24 = 2(l + w) and l = 2w - 3 option third is correct.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let l be the length and w be the width of the rectangle

By the formula of perimeter:

24 = 2(l + w)

l = 2w - 3 (The length is 3 feet less than twice the width)

The system of equations:

24 = 2(l + w)

l = 2w - 3

Thus, the system of equations are  24 = 2(l + w) and l = 2w - 3 option third is correct.

Learn more about the rectangle here:

https://brainly.com/question/15019502

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The points T and S will have the same abscissa, and the points Q and R have the same abscissa. Then the correct options are A and D.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The pair of points that have equal X coordinates that is abscissa will be

From the diagram, the coordinate of the points R, Q, S, and T will be

R ⇒ (-5, -7)

Q ⇒ (-5, 6)

S ⇒ (5, -6)

T ⇒ (4, 6)

The points Q and R have the same abscissa.

Then the correct options are A and D.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

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Answer: (2,3) C’

Step-by-step explanation:

I took the test and got it right

There were 340,000 cattle placed on feed

How many of the 340,000 cattle placed on feed were between 700 and 799 pounds?

Given the fraction of total cattle for 700 - 799 pounds is 2/5

Let x be the number of cattle between 700 - 799 pounds

We make a proportion using the fraction

[tex]\frac{2}{5} = \frac{x}{340,000}[/tex]

Cross multiply it and solve for x

340000* 2 = 5x

680000 = 5x

Divide by 5 on both sides

So x= 136,000

There were 136,000 cattle between 700 and 799 pounds