Brennon has a summer job working for the
park district. After 18 hours of work, he earned
$153. How much money will he make after 25
hours of work?

Answer:

D = 3 √5 units

Step-by-step explanation:

Here, we want to find the distance between these two points

to get this, we use the distance formula as follows

D = √(x2-x1)^2 + (y2-y1)^2

so we have for (3,-6) and (9,-3)

D = √(3-9)^2 + (-6 + 3)^2

D = √(36 + 9)

D = √(45)

D = 3√5 units

Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

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Work Shown:

r = 3 is the radius of the circular base

h = 12 is the height of the cylinder

pi = 3.14 approximately

SA = surface area of the cylinder

SA = 2pi*r^2 + 2pi*r*h

SA = 2*3.14*3^2 + 2*3.14*3*12

SA = 282.6

Answer:

D

Step-by-step explanation:

Well, since t = time in air, we already know that it traveled 2 seconds.

H = height in meters, and H = 18

So, after 2 seconds the object is 18m in the air

So, option D

The missing angles and side measures are:

Angle A = 40°

Angle C = 70°

Side AC = 12 cm

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle ABC is an isosceles triangle.

This means,

Two sides of the triangle are equal and the angle opposite to the sides are also equal.

Now,

Angle C and Angle B are equal.

Angle C = Angle B = 70°

The sum of the three angles is 180 degrees.

Angle A + Angle B + Angle C = 180

Angle A + 70 + 70 = 180

Angle A = 180 - 140

Angle A = 40°

Thus,

The angles of the triangle are 70, 70, and 40.

The sides of the triangle are 12 cm, 12 cm, and 8 cm.

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Answer:

Step-by-step explanation:

Answer:

Hello! answer: 9 units to the left of point y

Step-by-step explanation:

Here is a graph representation! So you can see how this is the correct answer do NOT be tricked. They wanted you to make points labelled "X and Y" but they couldve been trying to trick you because when graphing you do x then y but do not get confused because those are just what the points are labelled how you label you have to do x then y so think of it as walking on the link in the middle then you go up or down except if its a 0

so I went across to 2 then went down to -1 then I walked to 11 then went down to -1 I marked each of the points and saw that x is 9 units to the left of point y see those little boxes you just count by each and you will see there are 9 and x is 9 units to the left of y therefore C is the answer. Hope that helps!

The number of regular sodas served is 12.

Percentage is the fraction of an amount that is expressed as a number out of hundred. The sign that is used to represent percentage is %. Percentage is a measure of frequency.

Number of regular sodas served = percentage of regular sodas served x number of sodas served

= 25% x 48

= 25/100 x 48 = 12

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To determine the percentile rank for a score of 50 in a distribution with a mean of 40 and a standard deviation of 5, we can calculate the z-score for the score of 50 and then use a standard normal distribution table to find the corresponding percentile rank.

The z-score formula is:

z = (x - μ) / σ

where x is the score, μ is the mean, and σ is the standard deviation.

Plugging in the values:

z = (50 - 40) / 5

z = 10 / 5

z = 2

To find the percentile rank corresponding to a z-score of 2, we can consult a standard normal distribution table or use a calculator. A z-score of 2 corresponds to a percentile rank of approximately 97.7%.

Therefore, none of the provided options (15%, 30%, 95%, 50%) best represents the percentile rank for a score of 50. The correct answer is not given in the options.

Regarding the second part of your question, given a critical z-score of +1.65 and an observed z-score of +1.20, you would fail to reject the null hypothesis. This is because the observed z-score (+1.20) is smaller than the critical z-score (+1.65).

The answer is 12.

fkfkfkfk

P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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Answer:41.8

Step-by-step explanation:

Answer:

24.95-6.95= 18

18 divided by 8 = 2.25

So each tube of paint cost 2.25 dollars

Step-by-step explanation:

for the first equation we are subtracting the cost of the canvas from the total cost to find the cost of 8 tubes of paint and we get that 8 tubes of paint cost 18 dollars. Next we divide 18 by 8 to get the cost of a single tube of paint and we get 2.25.

Answer:

hi you can solve this sum by 4×side formula

Step-by-step explanation:

plz solve and check you equation

At the rate of 45(3/5) pages per hour Nolan reads the book.

As per the question,

Nolan read 7(3/5) pages in (1/6) of an hour.

Total number of pages read by the Nolan = \(7\frac{3}{5} = \frac{38}{5}\)

Time taken by her = (1/6) Hour

We have to determine the rate per page per hour with which she is reading the book.

As rate can be calculated by dividing the total number of pages read by Nolan by the time she takes her to read the page.

So, for calculating the rate we will divide (38/5) pages by (1/6) Hour.

So, the rate of Nolan will be

\(\frac{\frac{38}{5}}{\frac{1}{6}}\\\\=\frac{38 \times 6}{5} \\\\= \frac{228}{5} = 45.6 = 45\frac{3}{5}\)

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Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

Answer:

it is 45.75 that is the answer

The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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∠1 and ∠2 are right angles because the measure of both angles is 90° and supplementary angles because the sum of both angles is 180°.

A triangle is a polygon that has three sides and three angles and the sum of the angle of the triangle is 180 degrees.

The figure is attached in the picture, please refer to the attached picture.

Given that:

So,

\(\angle2 = 90^\circ\) (vertically opposite angles are equal)

\(\angle1 + \angle2 = 180^\circ\) (Linear Pair)

\(\angle1 = 180 - 90\)

\(\angle1 = 90^\circ\)

\(\angle1 = \angle2 = 90^\circ\)

So, ∠1 and ∠2 are right angles because measure of both angles is 90°.

Adjacent angles because both a common arm and a common vertex.

Thus, ∠1 and ∠2 are right angles because the measure of both angles is 90° and supplementary angles because the sum of both angles is 180°.

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Answer: 1, 4, 5

Step-by-step explanation:

I took the quiz

Here are the steps, hope it helps!

The test statistic is t = 24.135. (option d)

To perform the hypothesis test, we need to calculate a test statistic. In this case, we can use a two-sample t-test since we are comparing the means of two independent samples. The formula for the t-test is:

t = (x₁ - x₂) / (s_p * √(1/n₁ + 1/n₂))

where x₁ and x₂ are the sample means, s_p is the pooled standard deviation, n₁ and n₂ are the sample sizes.

Using the data provided, we can calculate the sample means and standard deviations for the two samples:

x₁ = 26.3%, s₁ = 0.37%, n₁ = 6

x₂ = 16.9%, s₂ = 0.57%, n₂ = 6

As per the percentage, we can then calculate the pooled standard deviation:

s_p = √(((n₁-1)*s₁² + (n₂-1)*s₂²) / (n₁+n₂-2))

s_p = √(((6-1)*0.37² + (6-1)*0.57²) / (6+6-2)) = 0.471%

Finally, we can calculate the t-statistic:

t = (26.3 - 16.9) / (0.471 * √(1/6 + 1/6)) = 24.135

Therefore, the test statistic is d) t = 24.135.

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Complete Question:

Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of saturated fat for a sample of 6 brands of stick margarine (solid fat) and for a sample of 6 brands of liquid margarine and obtained the following results:

Stick = [26.1, 26.5, 26.5, 25.8, 26.7, 26.2]

Liquid = [16.6, 16.5, 17.1, 17.5, 17.7, 16.3]

We want to determine if there a significant difference in the average amount of saturated fat in solid and liquid fats. What is the test statistic? (assume the population data is normally distributed)

a) t = 34.225

b) z = 34.225

c) z = 34.725

d) t = 24.135

e) t = 34.725

The group of volunteers can make a total of 200 masks out of 25 yards of fabric.

To calculate the number of masks that can be made, we divide the total amount of fabric (25 yards) by the amount of fabric required per mask (1/8 yard). To do this, we first convert the fraction 1/8 to decimal form, which is 0.125. Then, we divide the total fabric (25 yards) by the fabric required per mask (0.125 yards). This can be done by dividing 25 by 0.125, which equals 200. Therefore, the group of volunteers can make a total of 200 masks out of 25 yards of fabric. Each mask requires 1/8 yard of fabric, so dividing the total fabric by the fabric required per mask gives us the total number of masks that can be made.

Calculation steps:
1. Convert the fraction 1/8 to decimal form: 1/8 = 0.125.
2. Divide the total fabric (25 yards) by the fabric required per mask (0.125 yards):
  25 / 0.125 = 200.


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Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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Answer: 9.99m

Step-by-step explanation:

So you have a right triangle, and from that you should be able to get all three angles because you have the 90 degree angle, the 11.3 angle, and the mystery angle, so you do the equation 180 (the total amount of degrees for a triangle) - 90 - 11.3, which gives you 78.7, then calculate the rest from there. (You can calculate from only having one side and three angles)

The length of the straw in a rectangular box of dimensions 9 by 6 by 8 inches is the diagonal of the box, which can be found using the Pythagorean theorem. The length of the diagonal is sqrt(181) inches or about 13.4536 inches.

Answer:

The answer is B. 0.71

Step-by-step explanation:

The probability that the participant brought both a microwave and a console is 0.65.

Since a survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a video game console, and 50 brought neither a microwave nor a game console, to determine what is the probability that the participant brought both a microwave and a console the following calculation must be performed:

Therefore, the probability that the participant brought both a microwave and a console is 0.65.

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Answer:

\(x=e^5\approx148.413\)

Step-by-step explanation:

\(4\ln x-8=12\\\\4\ln x=20\\\\\ln x = 5\\\\x=e^5\)

Answer:

The correct statements are:

* The scatter plot has a cluster with a span for variable A from 2 to 7.

* The scatter plot has an outlier at (15, 2).

A scatter plot is a graph that shows the relationship between two variables. The points on the graph are plotted by their coordinates. The independent variable is plotted on the x-axis, and the dependent variable is plotted on the y-axis.

In the scatter plot, the points are clustered around a line. The line represents the relationship between the two variables. The cluster of points means a strong correlation between the two variables. The outlier at (15, 2) indicates that one data point does not fit the general trend.

Step-by-step explanation:

The probability that a randomly selected woman is taller than 5 ft 10 in (70 inches) is approximately 0.0143 or 1.43%.

To find the probability that a randomly selected woman is taller than 5 ft 10 in, we need to convert the height to inches and then calculate the probability using the Normal distribution.

5 ft 10 in is equivalent to 5(12) + 10 = 70 inches.

Let's calculate the z-score corresponding to a height of 70 inches using the formula: z = (x - μ) / σ

where x is the observed value, μ is the mean, and σ is the standard deviation. In this case, x = 70 inches, μ = 63.8 inches, and σ = 2.8 inches.

\(z=\frac{70-63.8}{2.8} = 2.214\)

Using a standard Normal distribution table or calculator, we can find the probability associated with this z-score.The probability of a randomly selected woman being taller than 5 ft 10 in (70 inches) can be found by calculating the area under the Normal distribution curve to the right of z = 2.214.

P(Z > 2.214) = 1 - P(Z ≤ 2.214)

By looking up the corresponding probability in the standard Normal distribution table or using a calculator, we find that P(Z ≤ 2.214) ≈ 0.9857.

Therefore, P(Z > 2.214) = 1 - 0.9857 =0.0143.

Thus, the probability that a randomly selected woman is taller than 5 ft 10 in (70 inches) is approximately 0.0143 or 1.43%.

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