Which situation involves a conditional probability?
O A. The probability that you roll a 6 on a number cube
O B. The probability that you are given a book for your birthday
C. The probability that you make a second free throw given that you
made the first free throw
O D. The probability that you make two free throws in basketball

Answer:

area is 60.75 m^2

Step-by-step explanation:

Answer:

d = 1 + 3p  

Step-by-step explanation:

Leon already ran 1 miles on his own and he is expected to cover a distance d of 3 miles during each practice. The number of practices is expressed as p and the distance covered is expressed as d.

For every track practice he is expected to cover a distance of 3 miles. Recall he has already cover 1 mile on his own.

Therefore, the relationship between the practices p and the distance d can be expressed as follows.

number of track practice = p

distance covered = d

The distance covered  d in miles is 1 miles plus the number of track practice p multiply by 3

d = 1 + 3p  

A perfect square trinomial is a quadratic expression that can be written as the square of a binomial.

For example, x^2 + 2x + 1 is a perfect square trinomial because it can be factored as (x + 1)^2. When factoring a perfect square trinomial, we can use the formula (a + b)^2 = a^2 + 2ab + b^2. This means that if we have a trinomial of the form x^2 + 2bx + b^2, we can factor it into (x + b)^2. In other words, the binomial factors will be the same, so we call them conjugates. In this case, the conjugates are (x + b) and (x + b), or simply (x + b)^2. A perfect square trinomial is a quadratic expression that can be factored into the product of two identical binomials. In the given example, (x + 1)(x - 1) is not a perfect square trinomial, but rather a difference of squares. A perfect square trinomial would have factors like (x + 1)(x + 1) or (x - 1)(x - 1). These factors are called conjugates when the signs are opposite, as in the original example. The perfect square trinomial can be expressed in the form (x ± a)², where a is a constant. To identify a perfect square trinomial, look for an expression that can be factored into identical binomials with matching terms and coefficients.

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Answer:

I think its 183 1/3

It's what I figured out & the other answer says the same.

Step-by-step explanation:

You like TommyInnit, too? Poggers! <3

Answer:

183 1/3

Step-by-step explanation:

I'm assuming that x and y are directly proportional.

So anyways:

5.5 divided by 3/4 is 7 1/3.

Because this is directly proportianol, you'll also have to mutiply y by 7 1/3.

So: 25 times 7 1/3 equal to 183 1/3

Hope this helps!

The unit rate of commercials per hour is 12 commercials per hour

From the question, we have the following parameters that can be used in our computation:

Time = 1 1/2 hour

Commercials = 18

The unit rate of commercials per hour is calculated as

Unit rate = Commercials/Time

Substitute the known values in the above equation, so, we have the following representation

Unit rate = 18/(1 1/2)

Evaluate

Unit rate = 12

Hence, the unit rate is 12

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Answer: 12

Step-by-step explanation: The unit rate of commercials per hour is 12 commercials per hour

How to determine the unit rate of commercials per hour?

From the question, we have the following parameters that can be used in our computation:

Time = 1 1/2 hour

Commercials = 18

The unit rate of commercials per hour is calculated as

Unit rate = Commercials/Time

Substitute the known values in the above equation, so, we have the following representation

Unit rate = 18/(1 1/2)

Evaluate

Unit rate = 12

Hence, the unit rate is 12

1)

Given expression:

x/(7x + x²)

Now,

take x common from the denominator,

= x/x(7+x)

= 1/7+x

Thus x≠-7, 0

2)

Given expression:

5x³/7x³ + x^4

Now take x³ common from denominator.

Then,

= 5x³/x³(7 + x)

= 5/(7+x)

Thus x≠ 0, -7

3)

Given expression:

x+7/x² +4x - 21

Now factorize the quadratic equation,

= x+7/(x+7)(x-3)

= 1/x-3

Thus x ≠ 3 , -7

4)

Given expression:

x² + 3x -4 / x+ 4

Now factorize the quadratic equation,

= (x+4)(x-1)/ x+4

= x-1

Thus x≠1

5)

Given expression:

2/3a * 2/a²

Now, multiply

= 4/3a³

Thus a≠0

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Answer:

Step-by-step explanation:

Answer:

To expand (x + 4)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². In this case, a = x and b = 4.

So,

(x + 4)² = x² + 2(x)(4) + 4²

= x² + 8x + 16

Thus, (x+4)² when expanded and simplified gives x² + 8x + 16.

Step-by-step explanation:

Answer:

x²n+ 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

Answer: $150

Step-by-step explanation:

From the question, we are informed that the balance of Stephanies average balance checking account at the beginning of last cycle was $200 and that the only transaction for the cycle was a check that Stephanie wrote for $100 which cleared exactly halfway through the cycle.

Since the $100 check was cleared halfway, the amount that Stephanies checking account will pay interest last cycle will be for us to deduct half of $100 from $200. This will be:

= $200 - 1/2($100)

= $200 - $50

= $150

The limit of the sequence (1) {2}, (2) {(-1)^n}, and (3) {n sin(n)}, converges to DNE (does not exist) or the sequence diverges. The limit of the sequence (4) {sin(nπ)} is undefined, as it oscillates between -1 and 1.

In the case of sequence (1) {2}, the limit is a constant value, and the sequence converges to that value. However, in the case of sequence (2) {(-1)^n}, the sequence oscillates between -1 and 1, and there is no single value that it approaches as n tends to infinity. Therefore, the limit does not exist, and the sequence diverges.

Sequence (3) {n sin(n)} also does not have a limit as n tends to infinity. The term n sin(n) oscillates between positive and negative values without approaching a specific value. Hence, the limit of this sequence is DNE, and it diverges.

In the case of sequence (4) {sin(nπ)}, the term sin(nπ) oscillates between -1 and 1 as n varies. Since there is no convergence to a specific value, the limit of this sequence is undefined.

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The solution to the given equation is -25.

The given equation is:2x/(x+5) = (2x-5)/x

The above equation has a denominator x(x + 5)

So, the equation can be rewritten as follows:

2x(x) = (2x - 5)(x + 5)2x² = 2x² + 5x - 25x² - 5x = -25x²x(1 + 5x) = -25x²

Dividing by x as x ≠ 0 and x + 5 ≠ 0x = -25

Therefore, the solution to the given equation is: -25.

The solution to the given equation is -25.

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Answer:

X= 4

Step-by-step explanation:

28 = 4(x+3)

7 = x+3

x = 4

x=4

All sides of a square are the same

28/4 is 7

x+3=7

x=4

Answer:192

Step-by-step explanation:

Step-by-step explanation:

5,200,000 = 5.2 × 10⁶

so, we have

(5.2 × 10⁶) × (8.3 × 10²) - (3.1 × 10⁸)

(5.2 × 8.3 × 10⁸) - (3.1 × 10⁸)

(43.16 × 10⁸) - (3.1 × 10⁸) = 40.06 × 10⁸ = 4.006 × 10⁹

A) The slope represents the probability of winning for each rank.

B) The y-intercept means the probability of winning for an unranked school.

C) The probability of winning for a school ranked number 4 is; 78%

The formula representing the general form of an equation in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

A) From the given graph, we see that the y-axis represents the probability of winning for each rank while the x-axis represents the ranks of the schools. Thus;

Slope unit = Probability of winning/Rank

B) The y-intercept is the point at which the graph crosses the y-axis. In this case, it means no ranked school and that is the probability of winning for an unranked school.

C) The linear equation is given by the formula;

y = -6.4x + 103.8

Thus, for a rank of 4, we have;

y = -6.4(4) + 103.8

y = 78.2 ≈ 78%

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Answer:

The place value of 5 is HUNDREDTH

Explanation:

From the right-hand side, the place value of:

8 is Hundred

2 is Ten

6 is Unit

1 is Tenth

and finally, what we are required to tell,

5 is Hundredth.

Answer:

126°

Step-by-step explanation:

1. We know that 54 degrees and its adjacent are a linear pair, meaning that they add up to 180 degrees. To find the measure of the adjacent angle, we subtract 54 from 180.

2. Now, we know that adjacent of 54 is 126. Also, we know that \(l\) ║ \(m\) ║ n, and x and 126 degrees are corresponding angles. Corresponding angles are congruent within angle measures, so x = 126 degrees.

Answer:

a is correct

Step-by-step explanation:

0.1, 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2

Hope this helps!

To determine the force t2 needed to pull the rope over the two fixed drums, we must first consider the forces acting on the rope. The force t1 applied at point A will create a tension force along the length of the rope, and this tension force will be transferred to point B. At point B, the tension force will need to overcome the frictional forces acting on the drums in order to move the rope.

The frictional forces acting on the drums are caused by the angles of contact and the coefficients of static friction. The angles of contact are the angles formed by the rope and the drums, and the coefficients of static friction are the values that represent the resistance of the surfaces to sliding against each other. The greater the angle of contact and the higher the coefficient of static friction, the greater the frictional force acting on the rope.

To determine the force t2 needed to overcome these frictional forces, we can use the following equation:

t2 = t1 * e^μθ

Where μ is the coefficient of static friction and θ is the angle of contact. We can plug in the values given in the problem to get:

t2 = t1 * e^(0.3 * 120°) ≈ 1.54t1

Therefore, the force t2 needed to pull the rope over the two fixed drums is approximately 1.54 times the force t1 applied at point A.

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Answer:

0.0022x

Step-by-step explanation:

Given that,

The credit card company raised her APR from 14% to 15.2%.

Her average daily balance this month is x dollars.

We need to find the algebraically the increase in this month's finance charge due to the higher APR. It can be calculated as follows :

\(y=x\times \dfrac{12\%}{14}-x\times \dfrac{15.2\%}{14}\\\\=x\times \dfrac{12}{1400}-x\times \dfrac{15.2}{1400}\\\\=-0.0022x\)

So, the required increase in the month's finance is 0.0022x.

Answer:

0.001x

Step-by-step explanation:

In parallelogram lonm, om is 34.

What is parallelogram?

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of equal size.

A quadrilateral with the opposing sides parallel is called a parallelogram. A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.

First we have OQ =QM,

So 2x+3=3x-4,

x =7.

Hence OM =2(17)=34.

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Answer: D) 34

Step-by-step explanation:

edge 2023

Answer:

2

Step-by-step explanation:

10/ 5 = 2

15 / 5 = 3

2/3

Answer:   2

Step-by-step explanation:

If you do 3+3+3+3+3 it is 15 and then you did it 5 times so you could do 10 divided by 5 to get 2.so2 is your answer.

To find the formula for an exponential function that passes through the two given points (0, 7000) and (3, 7), we can use the general form of an exponential function, which is y = a * e^(bx), where a and b are constants.

Using the point (0, 7000), we have y = 7000 when x = 0. Substituting these values into the equation, we get 7000 = a * e^(b * 0). Simplifying, we have 7000 = a * e^0, which gives us a = 7000. Next, we use the point (3, 7). Substituting these values into the equation, we get 7 = 7000 * e^(b * 3). Dividing both sides by 7000, we have 7/7000 = e^(3b). Taking the natural logarithm (ln) of both sides, we get ln(7/7000) = 3b. Finally, we can solve for b by dividing both sides by 3: b = ln(7/7000) / 3. Now that we have the values of a and b, we can write the formula for the exponential function as y = 7000 * e^[(ln(7/7000)/3) * x].

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Answer:

D. 74⁻⁶ (74^-6)

Step-by-step explanation:

Looking at the expression, I remember the following: 1 over an exponent (as a fraction) is the same thing as a negative exponent. None of these answers involve an exponent except for D (although A does involve a negative number). So D, which is 74⁻⁶, is the answer here.

Answer:

look below.

Step-by-step explanation:

as z= 7

3z -3

3(7) -3 =21-3 =18

Answer:

=> membership fee = $50

=> monthly fee = $55

=> First month = 105$

=> 50 + 55(x)

=> 50 + 55 (15)

=> 50 + 825

=> 875

Workout gym

=> membership fee = $200

=> monthly fee = $45

=> First month = 245$

=> 200 + 45(x)

=> 200 + 45(15)

=> 200 + 675

=> 875

Step-by-step explanation:

Answer:

-78

Step-by-step explanation:

You get -78 if you substitute x=-3 into the cubic.

Answer:

8.5

Step-by-step explanation:

Applying pythagora's theorem,

hypotenuse^2 = opposite^2 + adjacent^2

but, hypotenuse = 9

opposite = X

adjacent = 1/2(base of triangle)= 1/2(6)

adjacent = 3

9^2 = X^2 + 3^2

X^2 = 81 - 9

X^2 = 72

X = 8.5

Answer:

5/2 but simplified its 2 1/2

Step-by-step explanation:

it took him 5/2 hours but simplified into mixed fraction its 2 hours and a half

( 2 1/2 )

hope this helps :)

- by chance may i get brainliest