Write the equation of the line that is perpendicular to the x-axis and contains point (0,4)

The probability that a customer will use plus gas and fill the tank is 0.21 or 21%.

Let's use the following notation:

R: the event that a customer uses regular gas

P: the event that a customer uses plus gas

M: the event that a customer uses premium gas

F: the event that a customer fills their tank

We are given:

P(R) = 0.4, P(P) = 0.35, P(M) = 0.25

P(F|R) = 0.3, P(F|P) = 0.6, P(F|M) = 0.5

We want to find P(P and F), the probability that a customer uses plus gas and fills their tank. We can use the following formula:

P(P and F) = P(F and P) = P(F|P) * P(P)

Substituting the values, we get:

P(P and F) = P(F|P) * P(P) = 0.6 * 0.35 = 0.21

Therefore, the probability that a customer will use plus gas and fill the tank is 0.21 or 21%.

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Answer:

If you plug in 0 for the x value, you get y=−11.

Step-by-step explanation:

okkkkkk

hope it help mark as brainlist

Answer:

-5

Step-by-step explanation:

y=3x-5

-3x+y=-5

y=-5

A) we would send Order A to Factory 3.

B) we would send both Order B and Order C to Factory 3.

B 7,000 Factory 3

C 30,000 Factory 3

Total number of units produced for the company today: 37,000

Average cost per unit for all production today: $9.00

To make decisions about which factory to send the orders to on Monday and Tuesday, we need to compare the costs per unit for each factory and consider the total number of units to be produced. Let's go through each day's scenario and make the production decisions.

a) Monday: Order A for 15,000 units

To decide which factory to send the order to, we compare the costs per unit for each factory. We select the factory with the lowest cost per unit to minimize the average cost per unit for the company.

Let's assume the costs per unit for each factory are as follows:

Factory 1: $10 per unit

Factory 2: $12 per unit

Factory 3: $9 per unit

To calculate the total cost for each factory, we multiply the cost per unit by the number of units:

Factory 1: $10 * 15,000 = $150,000

Factory 2: $12 * 15,000 = $180,000

Factory 3: $9 * 15,000 = $135,000

Based on the calculations, Factory 3 has the lowest total cost for producing 15,000 units, with a total cost of $135,000. Therefore, we would send Order A to Factory 3.

b) Tuesday: Order B for 7,000 units and Order C for 30,000 units

We have two options: sending each order to a separate factory or sending both orders to the same factory. We need to compare the average cost per unit for each option and select the one that results in the lowest average cost per unit.

Let's assume the costs per unit for each factory remain the same as in the previous example. We will calculate the average cost per unit for each option:

Option 1: Sending orders to separate factories

For Order B (7,000 units):

Average cost per unit = ($10 * 7,000) / 7,000 = $10

For Order C (30,000 units):

Average cost per unit = ($9 * 30,000) / 30,000 = $9

Total number of units produced for the company today = 7,000 + 30,000 = 37,000

Average cost per unit for all production today = ($10 * 7,000 + $9 * 30,000) / 37,000 = $9.43 (rounded to two decimal places)

Option 2: Sending both orders to the same factory (Factory 3)

For Orders B and C (37,000 units):

Average cost per unit = ($9 * 37,000) / 37,000 = $9

Comparing the two options, we see that both options have the same average cost per unit of $9. However, sending both orders to Factory 3 simplifies the production process by consolidating the orders in one factory. Therefore, we would send both Order B and Order C to Factory 3.

Production Report for Tuesday:

Order # of Units Factory

B   7,000      Factory 3

C  30,000    Factory 3

Total number of units produced for the company today: 37,000

Average cost per unit for all production today: $9.00

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Answer:

x = y/4 + 5/4  

y = 4x-5

Step-by-step explanation:

I hope this helps!

so the probability will be: p(red)=2652=0.5 or 50% as we could guess immediatelly.

Applying the definition of perpendicular bisector, the value of x is: 10.

A perpendicular bisector can be defined as any line segment that bisects another line segment. That is, it divides another line segment into two equal parts having the same length.

Since AD is the perpendicular bisector of BD, then, BD = DC.

BD = 5x - 10

DC = 3x + 10

Substitute

5x - 10 = 3x + 10

Combine like terms

5x - 10 + 10 = 3x + 10 + 10 [addition property of equality]

5x = 3x + 20

5x - 3x = 3x + 20 - 3x [subtraction property of equality]

2x = 20

Divide both sides by 2

2x/2 = 20/2 [division property of equality]

x = 10

The value of x is 10.

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Answer:

Step-by-step explanation:

Touching angles have to equal  the full amount of degrees. This means oppisite angles are the same so 7/6, 5/8, 1/4, 2/3. This then means that 1/4 and 5/8 are the same. 3 and 5 would add up to the full amount of a flat line. 2 and 7 could as well, but diffrently (i dont remebr the terms lol). 6/8 would be supplementary, but wouldnt show that the lines are parrlele. Nether would D, as it is true but not helpful.  B seems the most likely at this point with a being a close second. I am so sorry I couldnt be more helpful

Answer:

The answer would be b ;0

Answer:

$478.80

First I added up al the people, which equaled 38.

Then, I multiplied 38 by 12 and got 456

Finally I added the tax (22.80) and got $478.80

Answer:

false

Step-by-step explanation:

The statement "Construct validity ensures that the measure includes an adequate and representative set of items." is true because researchers can determine the extent to which a measure has construct validity and whether it includes an adequate and representative set of items.

Construct validity is established by accumulating evidence through various means. One way to establish construct validity is by examining the content of the measurement tool. This involves carefully selecting items that represent the construct of interest.

In mathematical terms, we can think of construct validity as a process of creating a mathematical model that accurately reflects the construct being measured. This model should include a comprehensive set of items that adequately represent the construct.

In practice, researchers employ statistical techniques such as factor analysis to examine the relationships between the items and the construct.

Construct validity also involves assessing the convergent and discriminant validity of the measure. Convergent validity refers to the degree to which different items measuring the same construct are positively related to each other.

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Answer: F = 661.56

Step-by-step explanation: interest formula: F = Pe^(rt)

F = future value

P = present value = 500

r = interest rate = 0.04

t = years = 7

F = 500e^(0.04 * 7)

We can conclude that there is not enough evidence to suggest that the variance of the sodium content differs between the two brands.

The problem provides measurements of the sodium content in samples of two brands of chocolate bar. To find if there is a difference in variance between the two brands, we can conduct a two-sample F-test for equality of variances at a 0.05 significance level.

The following is the null and alternative hypotheses for the test:

H0: The variances of sodium content in brand A and brand B are equal.

H1: The variances of sodium content in brand A and brand B are different.

If the test statistic is greater than the critical value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Using the data given, we find the sample variances for both brand A and B:

Variance of Brand A, s2A = 9.84

Variance of Brand B, s2B = 8.45

We calculate the F-statistic:

F = s2A / s2B = 1.16

The degrees of freedom for both brand A and B are dfA = 8 and dfB = 12 respectively.

We then find the critical values of F from an F-distribution table for dfA = 8 and dfB = 12, and at a 0.05 significance level. The critical values are 0.240 and 3.053 respectively.

Since our test statistic F = 1.16 is less than the critical value 3.053, we fail to reject the null hypothesis.

Therefore, we can conclude that there is not enough evidence to suggest that the variance of the sodium content differs between the two brands.

Thus, the chocolate bars of both brands can be assumed to have the same variance for sodium content.

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H= 20°

Explanation

as HJ is congruent to HK , here we have an isosceles triangle, The angles opposite to equal sides are equal in measure,so

Step 1

also, we know the sum of the internal angles in a triangle equals 180, so

Step 2

now, replace in angle H

therefore, the measurement fo H is

H= 20°

I hope this helps you

Answer:

15.588

Step-by-step explanation:

3-5.5=-2.5

3^2.5=15.588

Answer:

Your answer is

$5 after 3.75 miles

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Answer:

5$ after 3.75 miles

Hope this helps!  :)

Step-by-step explanation:

A discrete random variable can only assume a finite number of values, while a continuous random variable can take on any value within a range.

A random variable that can only take on a finite number of possible values is known as a discrete random variable.

Consider the number of defective light bulbs in a box of ten light bulbs. Because the number of defective bulbs might be 0, 1, 2, 3, or more, it is a discrete random variable.

It is a continuous random variable if the random variable can take on any value within a range. For example, the height of an individual can range from 5 feet 0 inches to 6 feet 5 inches; this is a continuous random variable.

Discrete random variable: It can only assume a specific number of values and is usually used for counting.

It is a random variable with a finite number of outcomes, like flipping a coin or rolling a dice.Continuous random variable:

It can take on any value in a range and is usually used for measuring.

It is a random variable that has a range of outcomes and is described using intervals instead of individual values.

For instance, the number of red M&M's in a jar is discrete, while the weight of a student is continuous.

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Out of red, blue, green, and yellow, the probability of red is the most marble to be selected.

A possibility that deals with the occurrence of random occurrences is referred to as probability. All occurrences must have a chance of occurring at least once, or 1.

P(E) = The proportion of positive outcomes to all outcomes.

It is provided to us that,

1/2 of the bag's red marbles are red.

1/4 of the bag's contents are blue marbles.

1/6 of the bag's contents are green marbles.

1/12 of the bag's contents are yellow marbles.

Calculating the probability of picking each marble color will help us identify which shade is most likely to be picked. The odds of choosing a red stone are 1/2, a blue marble is 1/4, a green marble is 1/6, and a yellow marble is 1/12.

We need to determine a common denominator so that we can compare the probabilities. 12 is the common factor between the numbers 2, 4, 6, and 12. Thus, the probabilities may be rewritten as:

The probability of obtaining a red marble is 6/12.

The probability of obtaining a blue marble is 3/12.

The probability of obtaining a green stone is 2/12.

The probability of obtaining a yellow stone is 1/12.

Red marbles are the most likely to be picked among all the shades since their likelihood of being chosen is the highest.

Hence, based on probability calculations, the correct answer is a red marble.

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The transformation as a whole is given by P → Q → R → S. A rotation through angle, about the intersection point of the lines, results from the combination of reflections in lines that meet at angle /2.

Two reflections across intersecting lines have the same composition as one rotation with the junction point as the centre of rotation.

By (0,-1/2), the initial translation is provided.

Given by is the reflection along the x-axis (x,-y)

By (0,1/2), the final translation is indicated. Hence, the transformation as a whole is provided by

(x,y) → (x,-y) → (x,-y+1/2) → (x,y+1)

This demonstrates that the resulting isometry moves the values of (x,y) by one unit in the positive y-direction to (x,y+1).

The whole transformation is provided by:

P → P + (0,d/2) → Q → Q - (0,d/2)

The total transformation is given by:

P → P + (d/2,0) → (x,-y) → (x,y) → Q

where Q is positioned (x,y). Adding the two transformations together, we obtain:

P → P + (0,d/2) → Q → Q - (0,d/2) = P + (d,0)

This demonstrates that a translation across distance d, in the direction perpendicular to the lines of reflection, results from the combination of reflections on parallel lines spaced d/2 apart.

The total transformation is given by:

P → Q → R → S

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Answer:

C: y=-3x

Step-by-step explanation:

Rise over run: in this case you go down so -3/1=-3

Answer:

The symbol (∞) is read as infinity. and indicates that the set is unbounded to the right on a number line. Interval notation requires a parenthesis to enclose infinity. The square bracket indicates the boundary is included in the solution.

Step-by-step explanation:

Answer:

360 ft

Step-by-step explanation:

to find the total distance between the bases, you would multiply 90 by 4!

if it helps, since there are 4 bases, each of them being the same distance apart, they would make a square. each side of the square would be 90 ft. then find the perimeter! 90×4=360!

The area of the region is (25/4)π + 50 square units.

The given equations are in polar coordinates. The first curve is defined by the equation r = 5 − 5 sin(θ) and the second curve is defined by the equation r = 5.

To find the area of the region that lies inside the first curve and outside the second curve, we need to integrate the area of small sectors between two consecutive values of θ, from the starting value of θ to the ending value of θ.

The starting value of θ is 0, and the ending value of θ is π.

The area of a small sector with an angle of dθ is approximately equal to (1/2) r² dθ. Therefore, the area of the region can be calculated as follows:

Therefore, the area of the region that lies inside the first curve and outside the second curve is (25/4) π + 50 square units.

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Answer:

2x^2+10x+8

Step-by-step explanation:

(2x+2)(x+4)

=(2x+2)(x+4)

=(2x)(x)+(2x)(4)+(2)(x)+(2)(4)

=2x^2+8x+2x+8

=2x^2+10x+8

Answer:

Work shown below!

Step-by-step explanation:

\((2x+2)(x+4)=2x^{2} +8x+2x+8=2x^{2} +10x+8\)

Answer:

0.1

Step-by-step explanation:

r = y/x

r = 1.4 / 14 = 0.1

YOUR FATHER CAN TRAVEL 1837.0 MILES ON 55 GALLONS OF PETROL.  

BRAINLIST PLEASE

You're looking for the percent, so your equation would be:

x% × 200 = 0.5

(x/100) × 200 = 0.5

2x = 0.5

x = 0.25

So, 0.25% of 200 is 0.5.

* You can check your work by multiplying 0.25% × 200. Surely enough, it does give you 0.5.

Answer = 0.25%

Answer:

0.25%

Step-by-step explanation:

Uhm, well I don't know how to explain but I know it's correct.

Answer:

1080 total inches of ribbon. 60 pieces of ribbon can be cut.

Step-by-step explanation:

Firstly, the dressmaker has 15 rolls of ribbon that are 6 feet in length. Multiply those to see how many feet in total, 90. Then multiply this by 12 (there are 12 inches in a foot) to get the amount of total inches: 1080.

This is the answer to the question below the problem.

To answer the bigger question at hand:

You would need to take 1080 divided by 18 to find how many pieces the dressmaker can cut. She can cut exactly 60 pieces from her 15 rolls of ribbon.