determine the associated risk measure in this equipment investment in terms of standard deviation.

Answer:

10 because it goes by 2 so 5 x2 is 10 so 3 x2 is 6 so its x 2

Answer: 20

Step-by-step explanation: They are both equal to each other, so 3x+50=6x-10. Then just solve for x by canceling out both sides.

The probability that the student will be a student who lives on campus is 0.24

In math the term probability is referred as the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Here we have given that one full-time student who is a freshman or sophomore is selected at random.

Here we need to find the probability that the student will be a student who lives on campus.

Here we know that the probability that a student is a sophomore is calculated as,

=> P(S) = 19/42 = 0.45.

Whereas the probability that a student has a freshman is calculated as,

=>P(H)=25/42=0.6.

Then the probability that the student will be a student who lives on campus is calculated as,

=> P(H∩S)=P(S)+P(H)−P(S∪H)

Apply the values then simplify this one then we get,

=> 0.45+0.6−(42−8)/42=0.24

Complete Question:

Suppose that a certain college class contains 42 students and then if one full-time student who is a freshman or sophomore is selected at random, what is the probability that the student will be a student who lives on campus?

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Answer: 60,004.41 kilograms

Step-by-step explanation:

Given: Weight of Blue whales = \(1.362 \times 10^5\) kilograms

= \(1.3621\times 100000=136210\)

Weight of blue whale = 2.27 x (weight of largest dinosaur )

\(136210=2.27\times \text{(weight of largest dinosaur)}\\\\\Rightarrow\ \text{(weight of largest dinosaur)} =\dfrac{136210}{2.27}\\\\\Rightarrow\ \text{(weight of largest dinosaur)}=60004.41\)

Hence, The weight of largest dinosaur = 60,004.41 kilograms

The area of a semi-circle is half of the area of a full circle. To find the area of a semi-circle, you need to know the radius of the circle. The formula to find the area of a full circle is A = πr², where A is the area and r is the radius.

To find the area of a semi-circle, you simply divide this formula by 2, giving you A = ½πr². This means that the area of a semi-circle is equal to half of the area of a full circle with the same radius. So, if the radius of the circle is 5 units, the area of the semi-circle would be ½π(5²) = 39.27 square units.
The area of a semicircle can be calculated using the formula A = (1/2)πr², where A represents the area and r is the radius of the semicircle. To find the area, you simply need to know the length of the radius and plug it into the formula. Keep in mind that a semicircle is exactly half of a full circle, which is why the formula includes the (1/2) term. So, if you have the radius of the semicircle, you can quickly calculate its area using the given formula.

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Answer: D

Step-by-step explanation: Assuming the left point is A at (-2,2) and the right point is B at (3,1) we can determine the slope by using the “Rise over Run” rule where the change in Y is the “Rise” and the change in X is the “Run”. By setting up the equation y2-y1/x2-x1 we can plug in the coordinates from the variables and get 1-2/3+2 which leaves us with our answer m= -1/5

The theater has a total of 945 seats.

To determine the number of seats in the theater, we need to calculate the sum of seats in each row. The first row has 25 seats, and each subsequent row increases by one seat. Since there are 35 rows in total, we can calculate the sum of an arithmetic series to find the total number of seats.

The formula for the sum of an arithmetic series is Sn = (n/2) * (a1 + an), where n is the number of terms, a1 is the first term, and an is the last term. In this case, n = 35 (number of rows), a1 = 25 (number of seats in the first row), and an = a1 + (n - 1) = 25 + (35 - 1) = 25 + 34 = 59 (number of seats in the last row). Plugging these values into the formula, we get Sn = (35/2) * (25 + 59) = 17.5 * 84 = 1470. Therefore, the theater has a total of 945 seats.


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Answer: 10+12x=58

Step-by-step explanation:

The equation would be 10+12x=58, where x is the amount of additional hours babysitting besides the first hour.

To solve: move terms to one side (subtract 10) so you'd get 12x=48

The answer to this equation would be x=4 (you divide by 12)

To check if correct: plug in 4, to get 10+12(4)=58 which is 10+48=58 which gets 58=58

So the time worked was a total of 5 hours since you have to add on the first hour, but the solution to your equation represents just the amount of additional hours worked besides the first hour.

60% of the people in the room are married men.

We can use the information that the probability of a randomly selected woman being single is 2/5 to find the fraction of people in the room who are married men.

Let's call the fraction of people in the room who are married men x. The fraction of people in the room who are single women is (2/5) and the fraction of people in the room who are married men and their wives is (1-x)

Since there are only single women and married men with their wives at the party, we know that the sum of the fractions of single women and married men and their wives must be 1.

(2/5) + (1-x) = 1

We can solve this equation for x:

x = 1 - (2/5) = 3/5

So the fraction of people in the room who are married men is 3/5 or 0.6

So, 60% of the people in the room are married men.

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Answer:

5%

Step-by-step explanation:

Percent error = (actual - estimated) / actual x 100

(240 - 228) / 240 x 100 = 5%

Answer:

3 candy bars for 0.30

Step-by-step explanation:

The same amount of bars for less is the better buy

Answer:

3 candy bars for $0.30 each is the better buy

Step-by-step explanation:

We must do the math to find out how much 3 candy bars will cost for 30 cents each.

0.30 x 3 = 0.90

Therefore, three candy bars cost 90 cents. 90 cents is less than a dollar and 50 cents. Therefore, the 3 candy bars for $0.30 each is the better deal.

He needs to make 15 throws if the ratio is the same as the first game

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

Player was successful on 18 out of his 24 last free throws attempts

Using the above as a guide, we have the following:

Proportion = 18/24

For the number of games, we have

Throws made = Proportion  * Number of throws

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

Throws made = 18/24 * 20

Evaluate

Throws made = 15

Hence, the number of throws made is 15

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Answer:

what is harry unpaid balance

0$74.89

Answer:

9 hours

Step-by-step explanation:

605 miles/11 hours = 55miles/hour

495 miles (time) = 495 / 55 =9
So, 9 hours

Answer:

i just need points srry

Step-by-step explanation:

Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

The length of the whole compound curve is approximately 103.7 ft.

The first circular curve has a radius of r₁ = 300 ft and a central angle of θ₁ = 30°. Plugging these values into the formula, we get:

L₁ = (30/360) x 2π x 300

= 52.36 ft

The second circular curve has a radius of r₂ = 200 ft and a central angle of θ₂ = 25°. Plugging these values into the formula, we get:

L₂ = (25/360) x 2π x 200

= 21.81 ft

The third circular curve has a radius of r₃ = 150 ft and a central angle of θ₃ = 45°. Plugging these values into the formula, we get:

L₃ = (45/360) x 2π x 150

= 29.53 ft

Now that we have the length of each circular curve, we can find the length of the whole compound curve by adding them together:

LC = L₁ + L₂ + L₃

= 52.36 + 21.81 + 29.53

= 103.7 ft

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Answer:

She completed 75% of the trip

Step-by-step explanation:

375 miles of 500 miles= 375/500

375/500=0.75

0.75 x 100=75%

The temperature will be above 0°C between January and May.

What months will the temperature be above 0°C?

The temperature in degrees Celsius for any month (m) of a certain city is determined by the following formula:

T(m) = 4sin(π/6m) + 2.

To determine the months during which the temperature will be above 0°C,

we need to substitute 0 for T(m), then solve for m.

4sin(π/6m) + 2 = 0

Subtracting 2 from both sides of the equation, we get

4sin(π/6m) = -2

Dividing both sides of the equation by 4, we have:

sin(π/6m) = -1/2

To find the value of m that makes the sine of π/6

m equal to -1/2,

we need to evaluate the inverse sine function of -1/2.

This value will give us the smallest positive angle whose sine is -1/2.

The inverse sine of -1/2 is -π/6 or 5π/6.

Since we want the value of m,

we will divide each of these angles by π/6 to obtain the corresponding values of m.

-π/6 / π/6 = -1 and 5π/6 / π/6 = 5/2.

Thus, the smallest positive values of m that make the temperature above 0°C are m = 1 and m = 5/2.

These correspond to January and May, respectively.

Therefore, the temperature will be above 0°C between January and May.

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just to clarify, bank loans over such a period and for such purposes are using a compound interest rate, and often, not always the compounding period is yearly, so we'll be assuming is a compound interest per year.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$300000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &25 \end{cases} \\\\\\ A=300000\left(1+\frac{0.08}{1}\right)^{1\cdot 25}\implies A=300000(1.08)^{25}\implies A\approx 2054542.56\)

Mrs. Morris wants to borrow $300,000 from the bank. If she gets an interest rate of 8% and has to pay off her loan in 25 years. Over the next 25 years, the total interest will be $ 600,000.

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

\(I = \dfrac{P \times R \times T}{100}\)

Mrs. Morris wants to borrow $300,000 from the bank. If she gets an interest rate of 8% and has to pay off her loan in 25 years.

Principal = P = $ 300,000

Rate = R= 8 %

Time = T= 25 years

Simple Interest

\(I = \dfrac{P \times R \times T}{100}\)

\(I = \dfrac{300,000 \times 8 \times 25}{100}\\\\I = 600000\)

SI= $ 600,000

Over the next 25 years, the total interest will be $ 600,000.

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Answer:

No

Step-by-step explanation:

x=(b-5)/c≠(5-b)/c

supposedly

b=6

c=1

x=6-5/1=1

x=5-6/1= -1

1≠ -1

Answer:

No

Step-by-step explanation:

x = b - 5 / L equal to - (5 - b) / L

To dilate a point at a point, you start by selecting a center of dilation and a scale factor.

Then, for each point that you want to dilate, you do the following:

For example, if you wanted to dilate point P by a scale factor of 2, with the center of dilation at O, you would draw a line segment from O to P, double its length, and then draw a new line segment from O to the new point, using the new length that you calculated. The new point would be the point that you arrive at when you complete this line segment.

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When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b).

When should you use point-slope form?

When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.

One of the three ways we can express a straight line is using the point slope form, also known as the point-gradient form. By merely knowing one point on the line and the slope of the line, we may use this form to get the equation of the line.

The slope and y-intercept of the matching line can be rapidly determined when we have a linear equation in slope-intercept form. This enables us to graph it as well.

The equation of a line can be represented in either slope-intercept form or point-slope form.

Slope-intercept form:

The slope-intercept form of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of the line passing through the points (3,5) and (6,11) in slope-intercept form, we can use the point-slope formula to find the slope and then use one of the points to find the y-intercept.

Point-slope form:

The point-slope form of a line is given by y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

To find the equation of the line passing through the points (3,5) and (6,11) in point-slope form, we can use the point-slope formula and one of the points.

Using the point-slope formula, the slope of the line is (11 - 5) / (6 - 3) = 6/3 = 2.

So, the equation of the line in slope-intercept form is:

y = 2x + b

We can use the point (3,5) to find the y-intercept:

5 = 2 * 3 + b

Solving for b, we get b = -1.

So the equation of the line in slope-intercept form is:

y = 2x - 1

In point-slope form, using the point (3,5), the equation of the line is:

y - 5 = 2(x - 3)

Both forms represent the same line, just in different ways.

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The line that is perpendicular to the equation of a line given is y = -2x + 3

The equation of a perpendicular line can be found using the slope of the line first and then applying the points through which the line passes through.

For the given question, the equation of the line is y = 1/2x + 11 and the point is (6, -9).

To find an equation of a line;

The equation of the line can be modified into y - y₁ = m(x - x₁)

substituting the values into the equation above gives y = -2x + 3

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River has been losing money for 11 days.

To find out how many days River has been losing money, we need to divide the total debt by the amount he goes into debt each day.

Given that River goes into debt 2 1/2 (or 2.5) every day and he is currently 27.50 in debt, we can set up the following equation:

2.5 * x = 27.50

where x represents the number of days River has been losing money.

To solve for x, we divide both sides of the equation by 2.5:

x = 27.50 / 2.5

x = 11

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ANSWER

B. 10 laps in 205 seconds

EXPLANATION

If we write the rate of laps to seconds as a fraction we have:

I simplified the fraction and got 2/41. An equivalent rate must give the same simplified fraction. For option B:

We can reduce both rates to the same rate: 2 laps every 41 seconds. Therefore, these two rates are equivalent.

Answer:

your answer is A, C, B

Step-by-step explanation:

I did the assignment.

Answer:

the answer is:

Step-by-step explanation:

1. A

2. C

3. B

Answer:

{-2,-1,0,1,2,3,4,}

Step-by-step explanation:

2x - 8 >= -12

2x >= -12 + 8

2x >= -4

x >= -4/2

x >= -2

Integer values in the interval: {-2,-1,0,1,2,3,4,}