Which relation is a function?

Can someone help me please?!!!

The probability of scoring a goal exactly 8 times by Jon is given by 0.0234. It is obtained using the prerequisite knowledge of binomial distribution and probability.

What is Binomial Distribution in Probability?

When each trial has a probability of occurring equally likely, then the number of trials or observations is outlined using the binomial distribution. The chance of observing a specific number of successful outcomes in a specific number of trials is determined by using the binomial distribution.

Calculation of the probability of the given event

Total no. of possible outcomes, n = 11

The probability that Jon will kick the ball in the net, p(x) = 0.4

The probability that Alex will kick the ball in the net, q(x) = 0.6

Using Binomial Distribution, we get,

P(x = r) = C(n,r) × (p)r × q(n - r)

where x is the score made by Joe

P(x = 8) = C(11,8) × (0.4)8 × (0.6)3

             = 0.0234

Hence, the probability that Jon will score exactly 8 times is 0.0234.

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Answer:

Step-by-step explanation:

12312ejljaslkjkfdsjkdsfafsd

Answer: for sure

Step-by-step explanation:

Answer: How do you solve age problems in algebra?

If the age of a person is 'x', then 'n' years after today, the age = x + n. Similarly, n years in the past, the age of this would have been x – n years. Answer: Suppose that the present age of the son is = x years. Then the father's age is (60 -x) years.

Step-by-step explanation: hope this helpss!!!

The equation representing the inequality is 2·x² + 16·x + 32 ≥ 254

The width of the photo on the cake is x.

The dimensional relationship mentioned between the dimensions of the cake & the photo on the cake mentioned in the question are:

Width of cake = Width of photo + 4 inches

i.e., W = x + 4

And, Length of the Cake is twice the Width of the cake

i.e., L = 2*W

Also, It is mentioned that the Area of the Cake is 254 sq inches.

We know Formula to calculate the Area of a rectangle is :

          =>   Area = Length * Width

          =>   254  ≤ 2*W * (x+4)     =>   254 ≤ 2(x+4)*(x +4)

          =>   2·x² + 16·x + 32 ≥ 254

Hence, The inequality representing this case is 2·x² + 16·x + 32 ≥ 254

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An inequality to determine the minimum number of hours he needs to practice on each of the 2 days 0.835.

Definition and importance Imbalance or monetary disparity alludes to the contrast between the rich and poor, the endlessly the less wealthy - it is shown by individuals' various situations inside the financial conveyance - abundance, pay and pay. Imbalance is huge in a general public where hardly any individuals own a lopsided measure of the financial pie. In order to solve the inequality, the variable should be on one side, without coefficients or constants. Divide to cancel out coefficients and add or subtract to remove constants. Once you have isolated the variable, you have solved the inequality. Approach the inequality as you would an equation. Social imbalance alludes to the lopsided economic wellbeing in any general public, coming about because of inconsistent open doors, and lower awards for exertion. This sort of divergence is brought about by a sensation of being unjustifiably treated, or of segregation in host of regions, like restricted admittance to quality training and occupations. Notwithstanding pay imbalance, individuals who have specific individual attributes, either from birth, or which have been constrained on them by others, are in many cases the subject of inconsistent social treatment. These attributes incorporate such things as race, skin tone, and eye shape, as well as parentage, the guardians' societal position, inability, orientation and orientation character.

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Answer:

-3, -11/2

Step-by-step explanation:

Look up "midpoint formula"

Answer:

52.948 m²

Step-by-step explanation:

→ State the formula for the area

length × width

→ Substitute in the numbers

8.68 × 6.1 = 52.948 m²

Answer:

1/4*6/2=6/8

3/4

Step-by-step explanation:

Answer: -6 7/8

Step-by-step explanation:

-2 1/4 - 4 5/8=

(-2 1/4 - 4 5/8)*8/8=     ==> Multiply by 8 since it is the LCM of 4 and 8 and will get rid of denominators

(-16 8/4 - 32 40/8)/8=

(-(16+2)-(32+5))/8=

(-18-37)/8=

-55/8=

-(48+7)/8=-6 7/8

Answer:

x = 36

Step-by-step explanation:

3/4 a number b divided by 5 is 15b/4

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction).

3/4 a number b:

=3b/4

Divided by 5:

=3b/4/5

We have to multiply numerator with the dominator by 5 to remove the double fraction:

=3b*5/4

=15b/4

3/4 a number b divided by 5 is 15b/4

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He made the mistake on line 1.

2x^2 - 8x + 5....move the 5 to the other side

2x^2 - 8x = -5....now divide by 2

x^2 - 4x = -5/2

x^2 - 4x + 4 = -5/2 + 4

(x - 2)^2 = -5/2 + 8/2

(x - 2)^2 = 3/2

x - 2 = (+-)sqrt 3/2

x = 2 + sqrt 3/2 or x = 2 - sqrt 3/2

He made mistake on line 1.

Marvin was completing the square, and his work is shown below. Identify the line where he made his mistake. f(x) = 2x2 − 8x + 5. Line 1: f(x) = 2(x^2 − 8x) + 5 Line 2: f(x) = 2(x^2 − 8x + 16) + 5 − 32 Line 3: f(x) = 2(x − 4)^2 − 27

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Absolute value equation that has the solutions x=2 and x=9 is |x - 5.5| = 3.5

absolute value equation is |x - 5.5| = 3.5

Generalizations of the absolute cost for actual numbers arise in a huge form of mathematical settings. as an example, an absolute value is likewise defined for the complicated numbers, the quaternions, ordered jewelry, fields and vector spaces. absolutely the price is closely associated with the notions of value, distance, and norm in numerous mathematical and bodily contexts.

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Complete the square to write

ax² + bx + c = a (x + b/(2a))² - (b² - 4ac)/(4a)

The quadratic has a double root at x = -b/(2a) if the constant term (b² - 4ac)/(4a) vanishes, which happens if b² - 4ac = 0.

Let A, B, and C be random variables representing the value of the first, second, and third roll of the die. They are independent and identically distributed with PMF

Pr [X = x] = 1/6

if x ∈ {1, 2, 3, 4, 5, 6}, and 0 otherwise.

We want to find

Pr [B² - 4AC = 0]

Note that

B² - 4AC = 0   ⇒   B² = 4AC   ⇒ (B/2)² = AC

which tells us that B must be even, and also that AC is a perfect square. Then there are 5 possible outcomes that satisfy the conditions:

• If B = 2, then AC = 1   ⇒   A = C = 1

• If B = 4, then AC = 4   ⇒   A = 1, C = 4 or A = C = 2 or A = 4, C = 1

• If B = 6, then AC = 9   ⇒   A = C = 3

and there are 6³ = 216 total possible outcomes in the sample space. So,

Pr [B² - 4AC = 0] = 5/216

Answer:

9

Step-by-step explanation:

If boy can mow a lawn in 90 minutes and his sister can mow the same lawn in 60 minutes, then it will take 36 minutes to mow the lawn if both mowing at the same time

Given,

The time taken for the boy to mow a lawn= 90 minutes

The time taken for the sister to mow a lawn= 60  minutes

Work done by the boy in one minute= [tex]\frac{1}{90}[/tex]

Work done by the sister in one minute= [tex]\frac{1}{60}[/tex]

When both mowing at the same time

[tex]\frac{1}{90}+\frac{1}{60}=\frac{1}{36}[/tex]

Then, the time taken when both mowing at the same time = 36 minutes

Hence, if boy can mow a lawn in 90 minutes and his sister can mow the same lawn in 60 minutes, then it will take 36 minutes to mow the lawn if both mowing at the same time

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Answer:

7:13

Step-by-step explanation:

5:43

1 hour from 5:43 will be 6:43

17 mins from 6:43 will be 7:00

13 mins from 7:00 will be 7:13

The second point on the line k,m,n,l is where the midpoint, m, is found by adding kl to the equation.

A segment's midway is the point on a reference line where two congruent segments meet. The segment's midpoint seems to be the point located halfway between the ends of two segments.

The midpoint is the point on the section that lies halfway between the endpoints.

A line segment's midpoint can be calculated by using two endpoints (x1, y1) and (b, c) (x2, y2).

Add all of the x coordinates together and divide by two to determine the x coordinate of the midpoint.

Add all of the y-coordinates together and divide by two to get the y value of the midway.

It is critical to understand that a midpoint is indeed the midpoint of a line segment.

m = ((x + X)/2,(y + Y)/2) then determines the midpoint m.

We must demonstrate that the distance between m and l is equal to the distance between m and k and that this value is half the distance from k to l to show that m is, in fact, the midpoint of the horizontal line kl.

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point m is the midpoint of segment kl. point n is the midpoint of segment ml. a line with the points of k, l, m, and n, in which point m is the midpoint?