Pauline withdrew $7.50 from her savings account every day for 3 days. Which expression is the best choice to help her determine the total amount of money she withdrew? A.(7.50)(−3) = −22.50; she withdrew $22.50 B.(−7.50)(3) = −22.50; she withdrew $22.50 C.(−7.50)(−3) = 22.50; she withdrew $22.50 D.(7.50)(3) = 22.50; she withdrew $22.50

Answer:

Use the formula pi r^2. You are finding the radius. Plug the numbers in.

Answer:

Should be the second one.

First you have to think that the entire circle is blue. So the area of the blue circle is: 3.14*11^2 = 379.94.

Then you have to look at the smaller circle. There the radius is: 3. So the area would be: 3.14*3^2 = 28.26

They are asking you to find the shaded area. So you subtract the bigger circles area with the smaller circle.

379.94 - 28.26 = 351.68 to the exact.

The correct option among the given choices is $4,918.16.

To calculate the future value, we can use the formula for compound interest:

FV = P * (1 + r/n)^(n*t)

Where:

FV is the future value

P is the principal amount (initial investment)

r is the interest rate (in decimal form)

n is the number of compounding periods per year

t is the number of years

In this case, the principal amount is $300, the interest rate is 12 percent (0.12), the compounding is semiannual (n = 2), and the time period is 24 years. Plugging these values into the formula, we get:

FV = $300 * \((1 + 0.12/2)^(2*24)\)

  ≈ $300 * \(1.06^{48}\)

  ≈ $300 * 4.91816

  ≈ $1,475.45

Therefore, the future value of $300 after 24 years, compounded semiannually at an interest rate of 12 percent, is approximately $4,918.16. Among the given options, the closest match is $4,918.16.

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The tangent point and a second tangent point of a line with the same slope as the given line are (2.67, 6) and (2.57, 6.1).

The slope of the given line is -0.75.

The radius of the circle is |6 - 1.25| / -0.75 = 7.

The equation of the tangent line is y = -0.75x + c.

Substituting the coordinates of the center of the circle into this equation, we get 6 = -0.75 * 2 + c

Solving for c, we get c = 8.

The equation of the tangent line is y = -0.75x + 8.

The point of tangency is the point where the tangent line intersects the circle. To find the point of tangency, we need to solve the equation of the tangent line for x.

y = -0.75x + 8

6 = -0.75x + 8

-2 = -0.75x

x = 2.67

The point of tangency is (2.67, 6).

The second tangent point is the point where the tangent line intersects the circle at a different location. The direction of the tangent line is the same as the direction of the vector (-0.75, 1).

We can move the point of tangency a small distance in the direction of the tangent line by adding a small multiple of the vector (-0.75, 1) to the point of tangency.

Let's add a multiple of 0.1 to the point of tangency.

(2.67, 6) + 0.1 * (-0.75, 1)

= (2.57, 6.1)

The second tangent point is (2.57, 6.1).

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The line y = - 0.75x + 1.25 is tangent to a circle whose center is located at (2, 6) Find the tangent point and a second tangent point of a line with the same slope as the given line

The z-score corresponding to a sample mean of 84 for a sample size of 9 scores, with a population mean of 80 and a population standard deviation of 12, is 1.

To find the z-score corresponding to a sample mean of m = 84 with a population mean (μ) of 80 and a population standard deviation (σ) of 12, the z-score can be calculated using the formula z = (x - μ) / (σ / √n).

In this case, the population mean (μ) is 80 and the population standard deviation (σ) is 12. The sample mean (m) is given as 84, and the sample size (n) is 9.

To calculate the z-score, we use the formula:

z = (x - μ) / (σ / √n)

Substituting the given values, we have:

z = (84 - 80) / (12 / √9)

Simplifying the expression, we get:

z = 4 / (12 / 3)

z = 4 / 4

z = 1

Therefore, the z-score corresponding to a sample mean of 84 for a sample size of 9 scores, with a population mean of 80 and a population standard deviation of 12, is 1. This indicates that the sample mean is one standard deviation above the population mean. The z-score allows us to compare the sample mean to the population distribution and assess how unusual or typical the sample mean is relative to the population.

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Answer:

x= 4

The number is 4

Step-by-step explanation:

Make it into an equation

1/4x + 3 = 4

1/4 = 4-3

1/4x = 1

x= 1 × 4

x= 4

Answer:

63

Step-by-step explanation:

I side=9 nails*1= 9nails

7 sides= 9*7 nails= 63 nails

Each birdhouse requires 63 nail.

Hope this helps!

Answer:

S / 2πh

Explanation:

2πrh are all multiplied together to make S, so in order to isolate the r, we need to divide (the opposite operation of multiplication) 2πh from both sides.

Answer:

-2/3

Step-by-step explanation:

To find the slope of a line passing through two given points, we can use the slope formula:

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

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the coordinates (-5,-4) and (-2,-6), we have:

slope = (-6 - (-4)) / (-2 - (-5))

slope = (-6 + 4) / (-2 + 5)

slope = -2 / 3

Therefore, the slope of the line passing through the points (-5,-4) and (-2,-6) is -2/3.

The throughput time for the particular order was option (d) 39.1 hours.

Throughput time is the total amount of time required for a product or service to move through a production or service delivery system, including all the time spent in processing, waiting, inspection, movement, and queuing.

The throughput time can be calculated as the sum of all the times involved in the process, including the waiting time, processing time, inspection time, move time, and queue time. Therefore:

Throughput time = Wait time + Process time + Inspection time + Move time + Queue time

Throughput time = 20.0 + 2.8 + 1.8 + 3.7 + 10.8

Throughput time = 39.1 hours

Therefore, the correct option is (d) 39.1 hours

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The distribution that t follows is the maximum of three independent exponential distributions with a mean of 5 minutes each.

Each block takes an exponential amount of time with a mean of 5 minutes, which means that the time it takes to compile each block follows an exponential distribution with a rate parameter of 1/5. Since the blocks are being compiled independently of each other, the time it takes to compile all three blocks is the maximum of the three independent exponential distributions.

This distribution is known as the maximum of exponential distributions or the generalized extreme value distribution with a shape parameter of 0 and scale parameter of 5 minutes. Therefore, t follows a generalized extreme value distribution with a shape parameter of 0 and scale parameter of 5 minutes.

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Answer:

The solution of the equation a(x) = b(x) is (9, 5.5)

Step-by-step explanation:

The solution of the system of the linear equations is the common ordered pair in their solutions, this solution is the point of intersection of the lines which represent the two equations graphically

In the given figure

∵ There are two lines, the blue line, and the red line

→ Let the blue line represents a(x) and the red line represents b(x)

∵ The solution of the equation a(x) = b(x) is the point of intersection of

    the two lines

∵ The x-coordinate of this point is 9

∵ The y-coordinate of this point is between 5 and 6 (5.5)

∴ The coordinates of the point of intersection are (9, 5.5)

∴ The solution of the equation a(x) = b(x) is (9, 5.5)

Answer:

15

Step-by-step explanation:

0.75 lemon grass seedling and a black pepper seedling from a plant nursery

Answer:

x = 4

Step-by-step explanation:

Okay so for this equation we have this:

-5(3x - 2)= - 50

because the 3x and -2 are in a parentheses that shows we have to multiply -5 we do like this:

(3x(-5) - 2(-5)) = -50

-15x + 10 = -50

Since we want to get rid of the 10 we are going to subtract 10 from both sides:

-15x + 10 = -50

       - 10    -10

Since we are actually going to add -10 to -50 its going to look more like this:

-15x = -60

Now we are going to divide -15 from -15x and -60 in order to segregate -15 from x:

-15x/-15 = -60/-15

x = 4

Now we double check our work by placing 4 where x once was:

-5(3(4) - 2)= - 50

-5(12 - 2) = -50

-60 + 10 = -50

-50 = -50

Hope this helps

The sample in this example is D) the small group of college students who are observed. The correct option is D.

The researcher has identified college students as her group of interest, but it is not feasible or practical to observe or study all college students. Therefore, she needs to select a subset of college students, which is known as a sample. In this case, she has chosen to observe a small group of local college students, which is the sample. It is important to note that the sample needs to be representative of the larger population of interest, in this case, all college students, in order for the results to be applicable to the larger group.

While the sample in this example is only a small group of local college students, the researcher would need to ensure that they are representative of all college students in order for the results to be generalizable.

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Answer:

14

Hope this helps

Answer:

14

Step-by-step explanation:

2 x 7 = 7 + 7

7+7=14

Answer:

Area of Desert 1 = 12,000,000     Area of Desert 2 = 3,000,000

Step-by-step explanation:

x+y=15,000,000

x=4y

4y+y=15,000,000

5y=15,000,000

y=3,000,000

Answer:

-5/6

Step-by-step explanation:

to find the slope between to lines we can subtract the second y by the first y and subtract the second x by the first x and dividing them by each other

(18 - 3) / (-21 + 3)

minusing a negative is basically adding

after subtracting them you get this

15 / -18

then reduce

-5/6

the slope is -5/6

Answer: i think it’s A

Step-by-step explanation:

Answer: it’s c

Step-by-step explanation:

Answer:

R=70.20-$0.80(12)

Step-by-step explanation:

Answer:

239 miles per gallon for a round trip.

Step-by-step explanation:

you'd need to achieve 238,900 / 2000 = 119.5 miles per gallon for a one way trip,

The surface area of the prism is 200 cm².

The total surface area of the prism is calculated by applying the formula for total surface area of prism.

S.A = bh + (s₁ + s₂ + s₃)L

where;

The surface area of the prism is calculated as;

S.A = 8 cm (15 cm) + (8 cm + 15 cm + 17 cm) x 2cm

S.A = 120 cm² + 80 cm²

S.A = 200 cm²

Thus, the surface area of the prism is calculated using the formula for surface of right prism.

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Answer:

I'm assuming that Otto gave the shopkeeper a certain amount of money to pay for the gloves and is expecting some change back. To calculate how much change he will receive, we need to know the amount of money he gave to the shopkeeper.

Assuming Otto gave the shopkeeper 100 kr to pay for the gloves, we can calculate the change he will receive as follows:

Change = Amount paid - Cost of gloves

Change = 100 kr - 76.70 kr

Change = 23.30 kr

Therefore, Otto will receive 23.30 kr back from the shopkeeper. If he gave a different amount of money, you can simply subtract the cost of the gloves from that amount to calculate the change.

The probability that exactly two of the machines break down in an 8-hour shift is 0.059 or 5.9%.

Assuming that the probability of a machine breaking down in a given hour is 0.05, the probability that exactly two of the machines break down in an 8-hour shift can be found using the binomial probability formula. The formula for binomial probability is:

P(X = k) = (n choose k) × \(p^k \times (1 - p)^{(n - k)}\)

P(X = k) is the probability that the random variable X takes the value k, n is the number of trials (in this case, 8 hours),p is the probability of success in a single trial (in this case, 0.05), and(k choose n) = n! / (k! × (n - k)!) is the binomial coefficient.

Substitute the given values into the formula to find the probability that exactly two of the machines break down in an 8-hour shift:

P(X = 2) = (8 choose 2) × \(0.05^2 \times (1 - 0.05)^{(8 - 2)}\)

= 28 × 0.0025 × 0.83962

≈ 0.059

Thus, the probability is 0.059 or 5.9%.

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