In P, answer the following:
A. Name a radius
B. Name a diameter
C. Name a cord
D. Name a central angle
E. Name a tangent to the circle

Martin will have to wash 96 cars each month on average to meet his goal of washing 1,200 cars this year.

What is average ?

Average, also known as mean, is a statistical measure that represents the central value of a dataset. It is calculated by adding up all the values in the dataset and dividing by the total number of values. The average can be used to provide a general idea of the value of the dataset and to compare different datasets. There are different types of averages, including arithmetic mean, geometric mean, and median.

According to the question:
To find out how many cars Martin will have to wash each month on average, we need to first find out how many weeks there are in a year:

52 weeks/year

Then we can use this information to calculate how many cars Martin will have to wash each week:

1,200 cars/year ÷ 52 weeks/year = 23.08 cars/week

Since Martin cannot wash a fraction of a car, he will have to round up to 24 cars/week.

Finally, we can calculate how many cars Martin will have to wash each month on average:

24 cars/week x 4 weeks/month = 96 cars/month

Therefore, Martin will have to wash 96 cars each month on average to meet his goal of washing 1,200 cars this year.

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Answer:

Step-by-step explanation:

he's rich

Xavier will have $1278 left over from his paycheck after spending 20% on a new mattress and 29% on fixing a leak.

To find out how much will be left over from Xavier's paycheck after he spends 20% on a new mattress and 29% on fixing a leak, we can follow these steps:

Therefore, Xavier will have $1278 left over from his paycheck.

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In the following question, among the conditions given, the cop of a Carnot refrigerator, when t(cold) is 275 k and t(hot) is 158 c. Then the COP of the Carnot refrigerator is 1.76 (written as a fraction "88/50").

The COP of a Carnot refrigerator is calculated as: COP = T(Cold) / (T(Hot) - T(Cold))The COP of a Carnot refrigerator is given by the formula:

COP = T(Cold) / (T(Hot) - T(Cold))Where T(Cold) is the temperature of the cold reservoir and T(Hot) is the temperature of the hot reservoir.

T(Cold) = 275 K and T(Hot) = 158 °C = 431 K By substituting these values into the formula: COP = 275 / (431 - 275)COP = 275 / 156COP = 1.76 The COP of the Carnot refrigerator is 1.76 (written as a fraction 88/50).

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Therefore, the amount of heat produced when 52.40 g of methane, CH4, burns in an excess of air is -39568.2 kJ

The amount of heat produced when 52.40 g of methane, CH4, burns in an excess of air can be calculated using the following equation:

[tex]Q = mcΔT[/tex]

Where Q is the amount of heat produced (in kJ), m is the mass of the methane (in g), and ΔT is the change in temperature (in K).

Using the equation, the amount of heat produced can be calculated as follows:

Q = [tex](52.40 g)(-753.15 K) = -39568.2 kJ[/tex]
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the correct answer is: none of these, as only binomial distribution is applicable to this scenario.

a) This scenario follows the binomial distribution, as we are drawing marbles with replacement and interested in the number of successes (getting a blue marble) in a fixed number of trials.

b) The Poisson distribution is used to model the number of events occurring in a fixed time interval, given a certain rate of occurrence. It is not applicable in this scenario.

c) The hypergeometric distribution is used to model the probability of obtaining a certain number of successes in a sample without replacement, given a finite population of items that can be classified into successes and failures. In this scenario, we are drawing with replacement, so the hypergeometric distribution is not applicable.

d) Therefore, the correct answer is: none of these, as only binomial distribution is applicable to this scenario.

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Answer:

Step-by-step explanation:

(4x - 5)(4x + 5) Option 1

16x^2 + 20x - 20x - 25

Answer: 9 miles

Step-by-step explanation: The speed of 12 miles per hour means that for every hour, Clare is 12 miles further from the starting point. 1 hour = 12 miles Since an hour is equivalent to 60 minutes, 60 mins = 12 miles We can divide both sides by 60 to find the distance travelled per minute. 1 min = 12 ÷60= 0.2 miles Multiply both sides by 45 to find the distance travelled in 45 minutes: 45 mins = 0.2(45)= 9 miles Given that the starting position is at zero, Clare's position is at 9 miles after 45 minutes.

Answer:

x=7

Step-by-step explanation:

28/4 = 7

Answer:x=7

Step-by-step explanation:

The exponentially smoothed forecast for period 4 is 106.6.

As per given information,

Time period Actual series  Forecast series  Forecast error  1  100  100 0 2 110 3 115

Smoothing constant α=0.3

For calculating exponentially smoothed forecast for period 4,

First, we need to calculate exponentially smoothed forecast for period 2.

Smoothed forecast for period 2 = α (Actual demand for period 1) + (1-α) (Smoothed forecast for period 1)

= 0.3 (100) + (0.7) (100)= 30 + 70= 100

Next, we can calculate exponentially smoothed forecast for period 3.

Smoothed forecast for period 3 = α (Actual demand for period 2) + (1-α) (Smoothed forecast for period 2)

= 0.3 (110) + (0.7) (100)

= 33 + 70

= 103

Now, we can calculate exponentially smoothed forecast for period 4.

Smoothed forecast for period 4 = α (Actual demand for period 3) + (1-α) (Smoothed forecast for period 3)

= 0.3 (115) + (0.7) (103)= 34.5 + 72.1

= 106.6

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Answer:

x = 17/4, or 4.25

The x-intercept is (4.25, 0)

Step-by-step explanation:

We can get the intercepts by isolating x and y.

4x - 3y = 17

Subtract 4x from both sides.

-3y = -4x + 17

Divide both sides by -3.

y = 4/3x - 17/3

Input 0 for x.

y = -17/3

The y-intercept is (0, -17/3)

4x - 3y = 17

Add 3y to both sides.

4x = 3y + 17

Divide both sides by 4.

x = 3/4y + 17/4

Input 0 for y.

Answer:

For me it's C.

Step-by-step explanation:

the third one if you would like me to explain tell me.

The solutions to the trigonometric equations [tex]2cos(x) - \sqrt{30} = 0[/tex] in the interval [tex][0, 2\pi)[/tex] are x ≈ [tex]0.5514 + 2n\pi[/tex], where n is an integer.

Given that the equation  [tex]2cos(x) - \sqrt{30} = 0[/tex] in the interval [tex][0, 2\pi)[/tex]

To find all the solutions to the equation  [tex]2cos(x) - \sqrt{30} = 0[/tex] in the interval [tex][0, 2\pi)[/tex] ,  solve for x by isolating the cosine term and then applying the inverse cosine function.

Here are the steps to solve the equation:

Add [tex]\sqrt{30}[/tex] to both sides:

[tex]2cos(x) = \sqrt{30}[/tex]

Divide both sides by 2:

[tex]cos(x) = \sqrt{30} / 2[/tex]

Find the inverse cosine ([tex]cos^{-1}[/tex]) of both sides:

[tex]x = cos^{-1}(\sqrt{30} / 2)[/tex]

To determine the values of x in the interval [tex][0, 2\pi)[/tex] that satisfy the equation.

Evaluate [tex]cos^{-1}(\sqrt{30} / 2)[/tex] to find its approximate value.

[tex]cos^{-1}(\sqrt{30} / 2) = 0.5514[/tex] radians

Since the cosine function has a periodicity of [tex]2\pi[/tex], we can find other solutions by adding multiples of [tex]2\pi[/tex] to the initial solution.

So, the solutions in the interval  [tex][0, 2\pi)[/tex] are:

x ≈ 0.5514 radians

x ≈ [tex]0.5514 + 2\pi[/tex]

x ≈ [tex]0.5514 + 4\pi[/tex]

...

To simplify, express the solutions as:

x ≈ [tex]0.5514 + 2n\pi[/tex]

where n is an integer.

Therefore, the solutions to the trigonometric equations [tex]2cos(x) - \sqrt{30} = 0[/tex] in the interval [tex][0, 2\pi)[/tex] are x ≈ [tex]0.5514 + 2n\pi[/tex], where n is an integer.

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Option (C) is correct which is "Jessie should use volume to determine that the cardboard box requires 240 in3 of paint."

The measurement of three-dimensional space is volume.

It is typically quantified using a variety of imperial or US-standard units as well as SI-derived units.

The concept of length and volume are related.

Volume is the three-dimensional space inhabited by matter or encompassed by a surface, and it is measured in cubic units.

The SI unit of volume is the cubic meter (m³), which is a derived unit.

So, the volume would be:

length x breadth x height

Step 1 : substitute the values given

Step 2 : 10 x 4 x 6

Then, we got: 240 inches

Therefore, option (C) is correct which is "Jessie should use volume to determine that the cardboard box requires 240 in3 of paint."

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Answer:

c

Step-by-step explanation: I was correct

The percentile rank of age 30 is 27.586%.

The percentile rank of age 30 can be calculated using the following equation:

Percentile rank = (number of scores below 30 / total number of scores) x 100

In this case, the total number of scores is 29, and there are 8 scores below 30 (18, 21, 22, 25, 26, 27, 29, and 30). Therefore, the percentile rank of age 30 is:

(8/29) x 100 = 27.586%

The percentile rank of age 30 is 27.586%.

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The probability of 4 defective cell phones in a sample of 25 can be found using the binomial probability formula and is equal to 0.0263.

Probability is a branch of mathematics that deals with calculating the likelihood of a given event occurring. In probability, we calculate the number of ways an event can happen and divide it by the total number of possible outcomes.

Probability ranges from 0 to 1, with 0 indicating no chance of occurrence and 1 indicating that the event will definitely occur.

If there are only two possible outcomes in a given event, the binomial probability formula is used to calculate the probability of the event happening.

The binomial probability formula is given by: P(X = x) = (nCx)px(1 - p)n - x

Where, P(X = x) is the probability of x successes in n trials

nCx is the number of ways x successes can occur in n trials

px is the probability of a single success in a given trial(1 - p)n - x is the probability of the remaining trials being failures.

The probability of 4 defective cell phones in a sample of 25 can be calculated using the binomial probability formula.

P(X = 4) = (25C4)(0.06)4(0.94)21 = 0.0263.

Therefore, the probability of 4 defective cell phones in a sample of 25 is 0.0263.

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Answer:

1-

a. 19

b. -8

2-

a. -31

b. 0

c. -10.7

d. -3/7

e. 4

3-

a. -5

b. -60

c. 0

d. -1/4

4. -13/2

5. -85/18

6.  -5/12

7. -11

8. 16/11

9. -20/27

10.  26/11

11. -55/9

Step-by-step explanation:

why did i do this