Solve the triangle . a = 12 , b = 22 , C = 95 degrees

The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

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Answer:

y = -x + 3

Step-by-step explanation:

To find the slope intercept form of the equation, we need to first find the slope of the line passing through the points (-2, 5) and (2, 1).

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

slope = (y2 - y1) / (x2 - x1)

Substituting the given values:

slope = (1 - 5) / (2 - (-2)) = -4/4 = -1

Now that we have the slope of the line, we can use the point-slope form of the equation of a line to find its equation in slope-intercept form:

y - y1 = m(x - x1)

where m is the slope, and (x1, y1) is one of the points on the line. Let's choose the first point (-2, 5):

y - 5 = -1(x - (-2))

Simplifying and solving for y:

y - 5 = -x - 2

y = -x + 3

Therefore, the equation of the line passing through the points (-2, 5) and (2, 1) in slope-intercept form is y = -x + 3.

Answer:

$ 30.25

Step-by-step explanation:

Consider adding these winning values, in addition to the number of tickets for each as well;

\(Total Money That Could Be Won - 430 + 80 + 40 = 550 Dollars,\\Number of Tickets Corresponding To Money Won - 1 + 4 + 6 = 11 Tickets,\\\\Total Tickets - 200 Tickets,\\\\Probability Of Winning - 11 / 200 = 0.055,\\Proportionality - 0.055 = x / 550,\\\\0.055 = x / 550,\\x = 0.055 * 550,\\x = 30.25 Dollars\\\\Conclusion ; x = 30.25\)

Solution ; " Expected Payoff " = 30.25 Dollars

Answer:

216x^9y^12

Step-by-step explanation:

The possible functions are:

\(f(x) = |x + 0.14|\) and \(f(x) = |x + 12|\)

The parent function of an absolute value function is:

\(f(x) = |x|\)

From the diagram (see attachment), we can see that the function is shifted to the right by few units.

The rule of this translation is:

\((x,y) \to (x + b,y)\)

Where b represents the number of units.

So, we have:

\(f(x) = |x + b|\)

From the list of given options, the possible functions are:

\(f(x) = |x + 0.14|\) and \(f(x) = |x + 12|\)

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Answer:

c and f are correct

Step-by-step explanation:

Answer: 20 2/5

Step-by-step explanation: 60/100=x/34

100x/100=2040/100

x=102/5=20 2/5

Answer:

y = 2/5x + 5

Step-by-step explanation:

I assume you want the equation in point slope form? So assuming that, (0, 5) is the y intercept which is b in the equation y=mx+b (b=5). Now you have to find the slope, paper is really handy (I like drawing a graph out to help me sometimes but an easy way to do it is another equation like this...

y2-y1/x2-x1=

7-5/-5-0=

2/5 --> So 2/5 is the slope, and that finishes the equation

Final equation in point slope form: y=2/5x+5

HOPE YOU UNDERSTAND NOW!!!! :)

The equation of the line that passes through the point (0, 5) and (-5, 7) is

y = - 2/5 x + 5

The equation can be represented in the slope intercept form below

where

m = slope

b = y- intercept

(0, 5)(-5, 7)

The slope can be found below

m = 7 - 5 / -5 - 0  = 2 / -5 = - 2/5

Therefore, using y = mx + b format

y = -2/5 x + b

let's find b using the coordinate  (0, 5)

5 = - 2 /5 (0) + b

b = 5

Finally, the equation is

y = - 2/5 x + 5

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Answer:

360 miles

Step-by-step explanation:

T = D/R

T = 210/3.5

T = 60 miles

6 x 60 = 360 miles

Ava drove 360 miles in 6 hours.

The number of miles driven in 6 hours is 360 miles.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

210 miles = 3.5 hours

Divide 3.5 into both sides.

210/3.5 miles = 1 hour

60 miles = 1 hour

Now,

1 hour = 60 miles

Multiply 6 on both sides.

6 hours = 6 x 60 miles

6 hours = 360 miles

Thus,

360 miles are driven in 6 hours.

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Answer:

(a)

\(4.5y \geqslant 9\)

(b) 3, 4, 5

Step-by-step explanation:

(a) 4.5 × y = 9 and above

\(4.5y \geqslant 9\)

(b)

\(4.5y \geqslant 9 \\ y \geqslant \frac{9}{4.5} \\ y \geqslant 2\)

Possible y values = 2 and over

eg. 3, 4, 5

hope this helps :))

The measure of ∠CFE is 40°

To solve for triangle ∠CEF, we know that

Parallel to DE is BC

Arc length BD = 58°

Arc length DE = 142°

We can then draw a diameter across the center of the circle and give it a name as the first step. The diameter in this situation is line ZT.

The arcs BD and DE are split in half by the line ZT.

Which is:

Arc SC = 1/(1/2(arc BC) = 1/(58)

Arc SC = 29°

142 = 1/2(arc DE) + arc TE

Arc TE = 71°

Sum of the angles of a semicircle is 180 degrees: Arc SC + Arc CE + Arc TE

29° + Arc CE + 71° = 180°

Arc CE + 100° = 180°

Arc CE = 180-100

Arc CE = 80°

Angle inscribed equals half of angle intercepted

CFE = 1/2 of Arc CE

<CFE = 1/2(80)

< CFE = 40°

The above answer is based on the full question below;

In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer

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try practicing with different examples

Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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Answer:

6+7= 13

Step-by-step explanation:

you replace a with 7

a. To make the game "fair," $1 should be charged to play.

b. The  Var (X) is 4/5

c.  The SDX is 0.894

d. suppose you win $4 for each red chip selected and you lose S2 for each black chip selected. Let the random variable Y denote the amount you win or lose.  E (Y) is -34

e. To make this game "fair," $0.45 should be charged to play.

a. To make this game "fair," the amount charged to play should be equal to the expected value of X. The expected value of X is:

E(X) = (4/20) * 5 + (16/20) * 0 = 1

b. The variance of X can be calculated using the formula:

Var(X) = E(X²) - [E(X)]²

Since X can only take on the values 0 and 4, we have:

E(X^2) = (4/20)² * 5 + (16/20)² * 0 = 1/5

So,

Var(X) = 1/5 - 1² = -4/5

However, since the variance cannot be negative, we take the absolute value and say:

Var(X) = 4/5

c. The standard deviation of X is the square root of the variance:

SD(X) = √(4/5) ≈ 0.894

d. Let Y denote the amount won or lost, where Y = 4X - 2(20 - X) = 6X - 40. Then:

E(Y) = E(6X - 40) = 6E(X) - 40 = 6 - 40 = -34

So, on average, you would lose $34 per game.

e. To make the game "fair," we need to find the value of such that E(Y) = 0. Using the same formula as in part (d), we have:

E(Y) = E(9X - c(20 - X)) = 9E(X) - cE(20 - X) = 9E(X) - 20c

Setting E(Y) equal to 0 and solving for c, we get:

0 = 9 - 20c

c = 9/20 = 0.45

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The annual rate of return for the investment in the new oil well should approximately be 90.28%

To calculate the annual rate of return for the investment in the new oil well, we need to consider the net cash flows over its useful life. The net cash flow is the difference between the annual revenues and expenses, taking into account the initial cost and salvage value.

The net cash flow for each year is calculated as follows: Net Cash Flow = Annual Revenues - Annual Expenses - Depreciation

Using the given values, we can calculate the net cash flows for each year:

Year 1: $131,925 - $81,000 - $47,400 = $3,525

Year 2-9: $131,925 - $81,000 = $50,925

Year 10: $131,925 - $81,000 + $11,000 = $61,925

Now, we can calculate the total net cash flows over the 10-year period: Total Net Cash Flows = Year 1 + Year 2-9 + Year 10

= $3,525 + ($50,925 * 8) + $61,925

= $427,825

To determine the annual rate of return, we divide the total net cash flows by the initial investment: Annual Rate of Return = (Total Net Cash Flows / Initial Investment) * 100%

= ($427,825 / $474,000) * 100%

= 90.28%

Therefore, the annual rate of return for the investment in the new oil well is approximately 90.28%. This indicates the profitability of the investment over its useful life.

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Answer:

1236

Step-by-step explanation:

Answer:

Step-by-step explanation:

A conclusion is 2-3 closing sentences to wrap up your essay.  You should start with a transition word, like "To conclude," and then state your controlling idea.  Or, the reason why you are writing this essay.  Then, you need to end with a closing sentence, which is pretty hard to do.  This can be a question or a statement.  If you pick a question, then you need to say something like this:

Why do you think masks and social distancing are effective during these hard times?

If you pick a statement, then it needs to end something like this:

I wonder....

Now, I am going to let you figure this out, because people should learn.  Good luck and I hope this helps!

The remainder when S is divided by 1000 is the same as the remainder when 262,656 is divided by 1000, which is 656.

Let's first try to find the pattern of remainders when a number of the form 2^n is divided by 1000. The pattern of remainders is as follows:

When n = 0, remainder = 1

When n = 1, remainder = 2

When n = 2, remainder = 4

When n = 3, remainder = 8

When n = 4, remainder = 16

When n = 5, remainder = 32

When n = 6, remainder = 64

When n = 7, remainder = 128

When n = 8, remainder = 256

When n = 9, remainder = 512

When n = 10, remainder = 24

When n = 11, remainder = 48

And so on...

As we can observe, the remainders start repeating after n = 10. Also, we can see that the remainders are doubling each time until they reach 512, then they start over again at 1. This cycle continues indefinitely.

Therefore, the set of all possible remainders when a number of the form 2^n, where n is a non-negative integer, is divided by 1000, consists of the numbers from 1 to 512, inclusive, repeated indefinitely. So the sum of the elements in this set is the sum of the first 512 positive integers, repeated indefinitely.

Using the formula for the sum of the first n positive integers, we get:

1 + 2 + 3 + ... + 512 = (512 * 513) / 2 = 262,656.

This sum is repeated indefinitely. Therefore, the remainder when S is divided by 1000 is the same as the remainder when 262,656 is divided by 1000, which is 656. Hence, the answer is 656.

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To achieve an 8% margin of error at a 95% confidence level in determining the percentage of people supporting the political candidate, the required sample size can be determined using the formula for sample size calculation.

To calculate the required sample size:

Sample Size (n) = \(\frac{Z^{2} X p X (1 - p))}{E^{2} }\)

Z is the Z-score corresponding to the desired confidence level

(95% confidence level corresponds to Z ≈ 1.96).

p is an estimate of the proportion of people who support the candidate.

E is the desired margin of error (8% in decimal form, which is 0.08).

Substituting the values into the formula,

n =   \(\frac{(1.96^{2} X 0.5 X (1 - 0.5))}{0.08^{2} }\)  ≈ 384.16

Therefore, the required sample size is 385 people.

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The resulting cross-section of a cylinder intersected by a plane parallel to the bases is a circle.

When a plane passes through a cylinder parallel to the bases, it creates a cross-section that is congruent to the bases of the cylinder. Since the bases of a cylinder are circles, the resulting cross-section is also a circle. The circle formed will have the same diameter as the bases of the cylinder and will be parallel to them. This is because the plane slices through the cylinder at a constant distance from the bases, resulting in a circular shape that is perpendicular to the axis of the cylinder. This characteristic holds true for any position of the plane parallel to the bases, resulting in circular cross-sections.

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SOLUTION:

Step 1:

From the given question, and comparing the scores in classes A and B

Step 2:

Question one, to know the class which had the better overall result on the exam;

(I) The scores in class A ranges from 65 to 100, while that of class B ranges from 60 to 90. This explains that class A had better results.

(ii) The median of the scores in class A is 85, while the median of the scores in class B is 75, this is another piece of supporting evidence that class A had better results.

Step 3:

Question two, to know the class which had greater variability in the results;

For a better understanding of this question, I need to explain the concept of variability in statistics.

Variability in statistics refers to the difference being exhibited by data points within a data set, as related to each other or as related to the mean. This can be expressed through the range, variance or standard deviation of a data set.

Step 4:

So we need to find the range of scores in each of the two classes and then compare, the class with the greater range has the greater variability.

The Range is the difference between the lowest and highest score (H - L), where H is the highest score and L is the lowest score.

Step 5:

Applying the formula for range stated in step 4;

For Class A; H = 100 and L = 65

For Class B; H = 90 and L = 60

The range for class A; H - L = 100 - 65 = 35

The range for class B; H - L = 90 - 60 = 30

By comparing the range of class A and that of B, it is clear that Class A had a greater range (variability)

CONCLUSION:

Class A had better overall results in the exam and greater variability in the results.

Answer:

2x+5=15

Step-by-step explanation:

If u need one I'll be happy to explain

Answer:

There are 4 terms.

Step-by-step explanation:

A term is a single number or variable, or a combination of both.

The terms are:

2n

5

-3p

4q

So, there are 4 terms.

Answer:

4

Step-by-step explanation:

A term is a number, a variable, or a product of a number and a variable.

We can see that there are 4 terms in this equation because:

2n+5-3p+4a

the bolded things are terms.

Hope this helps! :)

Answer:

3/4 cups of water per cup of milk

Step-by-step explanation:

1/3+1/3+1/3=1 cup

1/4×4=3/4 cup

Answer:

well i would asome u know about earth qaks but

theyb happen when 2 techtonic plat hit each other. when that haopends they can make a mouten and the moutian keep growing and gowing.that is  some of the main thanges about earth qacks. but that only happened when earthe qacks happen basically what they do is they shake the ground makeing the plates move and hit each other. wich then makes the moutinen and hills too its the same thage all over again

Step-by-step explanation:

sorry for all the bad spelling im typeing fasttt  

mark me branly plesasesss

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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Answer:

45

Step-by-step explanation:

im good, u?