Select the equation whose graph has a y-intercept with a positive y-coordinate. o y = 5x²-3x - 5 O y = x2 - 10x O y = x2 +3x-2 y = (x + 1)(x + 2)

These are a legitimate probability distribution:

To have a legitimate probability distribution, the probabilities for all possible values of X must satisfy two conditions:

Each probability value must be between 0 and 1, inclusive.

The sum of all probability values must equal 1.

Check if the given probabilities satisfy these conditions:

P(X=-3) = 0.14 (valid)

P(X=1) = 0.1 (valid)

P(X=3) = 0.135 (valid)

P(X=5) = 0.306 (valid)

Now, calculate the remaining probability to check if it satisfies the second condition:

P(X=6) = 1 - (P(X=-3) + P(X=1) + P(X=3) + P(X=5))

P(X=6) = 1 - (0.14 + 0.1 + 0.135 + 0.306)

P(X=6) = 1 - 0.681

P(X=6) = 0.319

Since the calculated probability is valid (between 0 and 1), There is a legitimate probability distribution for the discrete random variable X:

P(X=-3) = 0.14

P(X=1) = 0.1

P(X=3) = 0.135

P(X=5) = 0.306

P(X=6) = 0.319

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Answer:

The scientific notation will be 7.55 x 10^-2

Step-by-step explanation:

You need to make the number at least 1 but below 10 so you would move the decimal over 2 places to the right

Hope this helps :)

Answer:

7.55 x 10⁻²

Step-by-step explanation:

0.0755

As we move the decimal two spaces to the right it will be a negative integer.

7.55 x 10⁻²

Look at attached image.

Answer:

You got your negatives messed up.  The answer was -5y-4x

Step-by-step explanation:

Expression: -8y + 5x + 3y -9x

Your objective: Simplify the expression

The First step, Combine like terms meaning -8y+3y and -9x+5x

Solve, -8y+3y

That would equal -5y

Next solve -9x + 5x

That would equal -4x

Write your expression in simplest form:

-5y-4x

What you did:

You combined like terms but didn't follow the negative rules

Remember: Positive and Negative =  Negative

                   Negative and Negative = Positive

        For example -8y + 3y

You chose to add -8 and 3 which you got -11

What you were supposed to do was to subtract.

A helpful trick: Since they are like terms you could rearrange the questions like this 3y-8y+5x-9x, You can see that you have to do subtraction left to right

3y-8y= -5y

5x-9x= -4x

Solution: -5x-4x

The weight of the empty bucket is 3 kg.

Let the weight of the empty bucket be x kg.

We have been given that Lisa's bucket weighs 21 kg when it is full of water.

We have also been given that after Lisa pours out half the water from the bucket, it weighs 12 kg.

Now, let us consider the weight of the water in the bucket.

Let the weight of the water in the bucket be y kg.

Since we know that the total weight of the bucket and water is equal to 21 kg, we can write the equation: x + y = 21. (Equation 1)

When Lisa pours out half the water from the bucket, the weight of the water remaining in the bucket is y/2.

Now, the total weight of the bucket and the remaining water is 12 kg.

We can represent this information using the following equation: x + (y/2) = 12. (Equation 2)

Now, we can solve the above two equations simultaneously to obtain the value of x.

To do this, we can first find the value of y from Equation 1:y = 21 - x. (Equation 3)

Substituting this value of y in Equation 2, we get: x + (21 - x)/2 = 12

Simplifying the above equation, we get:2x + 21 - x = 24⇒ x = 3 kg

Hence, the weight of the empty bucket is 3 kg.

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The probability values for the questions posed are :

A.)

Number of students Taking a public speaking class majoring in business administration.

P(PS or BA) = 55/100 = 11/20

Therefore, the probability of PS or BA is 11/20

B.)

For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.

Hence, as inferred from P(A|B) ; probability of A given B.

C.)

P(PS|BA) = n(PSnBA) / n(BA)

n(PS) = 10+20 = 30

n(PSnBA) = 10

P(PS|BA) = 10/30 = 1/3

Therefore , the probability of PS|BA is 1/3.

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Answer:

To find the amount of the discount, we need to multiply the purchase price by 20% or 0.20.

Discount = $365 × 0.20 = $73

So, the discount on a $365 purchase is $73.

The price after the discount would be $365 - $73 = $292.

To calculate the discount on a $365 purchase with a 20% discount, you can follow these steps:

1. Calculate the discount amount:

Discount = 20% x $365 = $73

2. Subtract the discount from the original price:

Final price = $365 - $73 = $292

Therefore, the final price of the $365 purchase with a 20% discount is $292.

Answer:

Step-by-step explanation:

1. In some zoos the are more elephants than giraffes, then this conjecture can be true sometimes, however, this can not always be true because some zoo could have more giraffes

2. This can be true unless that turtle ages, or another is found that is taken into captivi9ty and found to be older

3. While most American bison are usaually below 6 feet, that is no gureantee there is no occasaional taller American Bison.

I do not know if these meet your teacher's starndard, but I hope they do. Please thanks and rate!

Answer:

Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:

7 + 24 + 14 + 1 + 4 = 50

Therefore, there are 50 individuals included in the summary.

Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.

Answer:

200

Step-by-step explanation:

Answer:

6 boxes

Step-by-step explanation:

4boxes = 140RS

x. = RS 210

x = RS210×4/140

x= 6 boxes

Answer:

Chaeyoung!!!!

Step-by-step explanation:

I love Twice!!!

1/2 is the probability of getting at least one answer correct

Given that: the exam has 4 multiple choice with 5 possible answers. This means there are 20 possible choices ( 5×4 = 20).

That means each problem has a probability of 1/20 correct answer. The probability of getting at least one answer means you either get one, two, three or four correct answers. Thus:

P (at least one correct) = P(1) + P(2) + P(3) + P(4)

                                      = 1/20 + 2/20 + 3/20 + 4/20

                                      = (1+2+3+4)/20

                                     = 10/20

                                     =   1/2

Therefore, the probability of getting at least one answer correct is 1/2

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The probability of getting at least one answer correct is equal to 7

That I guess at least one answer correctly means that I could get all four answers correct or three answers correct or two answers correct or only one answer correct. The probability of getting any one answer is 1/4 and probability of not getting an answer is 1 - 1/4=3/4. Or implies addition.

probability of getting all four answers correct = 1/4 +1/4 + 1/4 + 1/4 = 4/4 = 1

probability of getting three answers correct = 1/4 +1/4 + 1/4 + 3/4 = 6/4 = 3/2

probability of getting two answers correct = 1/4 +1/4 + 3/4 + 3/4 = 8/4 = 2

probability of getting all four answers correct = 1/4 +3/4 + 3/4 + 3/4 = 10/4 = 5/2

The probability of getting at least one answer correct = 1 + 3/2 + 2 + 5/2

The probability of getting at least one answer correct = (2 + 3 + 4 + 5)/2

The probability of getting at least one answer correct = 14/2

Thefore, the probability of getting at least one answer correctly is the whole number 7

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Answer:

Step-by-step explanation:

You could say that since h(x) is one-to-one, it must have an inverse. And since h is one-to-one, it's inverse must also be one to one.

Answer:

D

Step-by-step explanation:

A. when using elimination all number cancel out making it infinite solutions

B. has the same slope meaning the lines are parallel and will never intersect

C. when you isolate the y on 1 side for the 1st equation the equations are the same meaning infinite solutions

so d is the only one left

Hope this helps or makes sense.

When a point (x,y) is reflected across the line y = x:

We have the transformation rule:

That is, the x-coordinate and y-coordinate change places.

For example:

If we reflect the point (2,5) over y=x, the image of the given point will be:

If the coordinate has a positive x and negative y, the transformation will be:

Answer:

domain- 9,8,7,6. Range: -2

Step-by-step explanation:

Domain is always x and range is always y

Answer:

The square at angle EOG represents a right angle, meaning the angle there is 90 degrees.

Thus,

\(3y+27=90\)

\(3y=63\)

\(y=21\)

The angles on a straight line add up to 180 degrees.

Therefore,

\(x+90+8x+18=180\)

\(9x+108=180\)

\(9x=72\)

\(x=8\)

Answer:

1) One of the equations that represents this scenario is A – B = 100.

2)One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.

4) To eliminate the B variable, multiply the first equation by 7 and the second by 8.

Step-by-step explanation:

Answer:

a b and d

Step-by-step explanation:

if the angles are the same, and side lengths are equally decreased or increased (depending if you are scaling up or down)

Answer:

C. B = (19)(14)

Step-by-step explanation:

Given:

length (l) = 19 in.

width (w) = 14 in.

height (h) = 11 in.

Formula for volume of the rectangular prism = Bh

Base area (B) = l*w

Base area (B) = (19)(14) in.²

Formula for finding base area: B = (19)(14)

The minimum profit occurs at L = 0, where Q = 0.

To find the value of L that maximizes the profit Q = L²\(e^{(0.01L)\).

We need to differentiate Q with respect to L and find the critical points where the derivative equals zero.

Then we can determine whether each critical point is a maximum or a minimum by examining the second derivative.

Testing for critical points:Q = L²\(e^{(0.01L)\)

Q' = \(2Le^{(0.01L)\) + \(0.01 L^2e^{(0.01L)\)

= 0(2L + 0.01L²) \(e^{(0.01L)\)

= 0L (critical point) or 200 \(e^{(0.01L)\)

= 0 (extraneous, ignore)

2L + 0.01L² = 0L(2 + 0.01L) = 0L = 0 or L = -200 (extraneous, ignore)

The only critical point is at L = 0.

Testing for maximum or minimum:Q'' = \(2e^{(0.01L)\) + 0.02Le^(0.01L) + 0.0001L²\(e^{(0.01L)Q''(0)\)

= \(2e^{(0)\) = 2Since Q''(0) > 0,

The critical point at L = 0 is a minimum.

Therefore, there is no value of L that maximizes the profit.

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The values of L that will maximize the profit are 0 and -200

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

\(Q = L\²e^{0.01L\)

Differentiate the function

So, we have

\(Q' = \frac{L \cdot (L + 200) \cdot e^{0.01L}}{100}\)

Set the equation to 0

\(\frac{L \cdot (L + 200) \cdot e^{0.01L}}{100} = 0\)

Cross multiply

\(L \cdot (L + 200) \cdot e^{0.01L} =0\)

When expanded, we have

L = 0, L + 200 = 0 and \(e^{0.01L} =0\)

When solved for L, we have

L = 0 and L = -200

Hence, the values of L are 0 and -200

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Responder:

Expressão monomial de terceiro grau

Explicação passo a passo:

O número de expressões de um termo algébrico. Contém é usado para nomeá-los em:

Monomial = 1 termo.

Binomial = 2 termos

Trinomial e assim por diante; A expressão fornecida acima contém apenas um único termo '7x³', portanto, é uma expressão monomial. A maior potência em que a variável na equação quadrática é elevada é chamada de potência;

A expressão acima é elevada à potência 3. Portanto, a equação quadrática é um monômio elevado à potência 3.

Portanto, é um monômio de terceiro grau.

Answer:

5 km / 15 km/h = 0.3333 hours

Step-by-step explanation:

This is calculated by dividing the distance he has to travel (5 km) by his average speed (15 km/h) and then converting the result to minutes.

0.3333 hours x 60 minutes/hour = 20 minutes

Answer:

4/7

Step-by-step explanation:

Answer:

The rate of change relates the change in population to the change in time.  The population increased by 2212−1900=312 people over the four-years.  To find the rate of change, divide the change in the number of people by the number of years.

2212−19004=3124

3124/4 =78

So the population increased by 78 people per year.

Because we are told that the population increased, we would expect the slope to be positive.  This positive slope we calculated is therefore reasonable.

Answer:

(-1,3)

Step-by-step explanation:

Where the two lines intersect, they have equal values

-4x-1       =      -2x + 1

-2 = 2x

x = -1    

  Now, you have 'x'  ....use this value in either of the equations to find 'y'

-2 (-1) + 1 = y = 3  

(-1,3)

the length of the rope is approximately 11.9 feet.

What is right angle triangle?

The term "right-angled triangle" refers to any triangle with an internal angle that is either a right angle or 90 degrees in value. The right triangle or the 90-degree triangle are other names for this triangle because of this. Right triangles have "opposite" and "adjacent" sides, which refer to the sides that are across from and next to respective angles, respectively. When a right triangle is formed, the hypotenuse is its longest side.

We can consider the flagpole, the ground, and the rope as forming a right triangle. The angle between the flagpole and the rope is 90 degrees, and the angle between the rope and the ground is 35 degrees. Therefore, the angle between the flagpole and the ground is 90 - 35 = 55 degrees.

Let's call the length of the rope "r". We can use the trigonometric function tangent to find r:

tan(35°) = opposite/adjacent = r/20

Multiplying both sides by 20, we get:

r = 20 tan(35°)

Using a calculator, we get:

r ≈ 11.9 feet

Therefore, the length of the rope is approximately 11.9 feet.

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Answer:

27 and 13

Step-by-step explanation:

let the second number be x then the first number is x - 14

sum the 2 numbers and equate to 40

x - 14 + x = 40

2x - 14 = 40 ( add 14 to both sides )

2x = 54 ( divide both sides by 2 )

x = 27

x - 14 = 27 - 14 = 13

the first number is 27 and the second number is 13