I need help on this question

Answer:

2/5

Step-by-step explanation:

slope= y2-y1 / x2-x1

in this case:

y2=7                            y1=5                      x2= 8                      x1=3

plug that into the formula above to get the answer

slope= 2/5 or 0.4

Answer: Let's call the total amount of grass that Austin collected "G" in kilograms. We know that he collected 30 9/10 kilograms, which can be written as a mixed number or an improper fraction:

30 9/10 = 309/10

So, we have:

G = 309/10

We also know that 2/3 of the grass he collected was blue grass. So, let's call the amount of blue grass "B" in kilograms. We can set up an equation based on the information given:

B = (2/3)G

Substituting G = 309/10, we get:

B = (2/3)(309/10)

B = 206/5

B = 41 1/5

Therefore, the total amount of blue grass Austin collected was 41 1/5 kilograms.

Step-by-step explanation:

Answer:

Properties of Hyperbolic Functions

This function's domain is (−∞,∞) and the range is (−1,1) .

Step-by-step explanation:

Hope this helps! =D

The area of the rectangle is 48 in².

The area of the triangle is 24 in².

The area of the triangle is half the area of the rectangle.

To calculate the area of a rectangle, we multiply the length of the rectangle by its width. And to calculate the area of a triangle we multiply the base of the triangle to the height of the triangle and divide by 2.

To calculate the area of the rectangle, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute into equation 1

Also, the area of the triangle is given by the formula below

Where:

Substitute into equation 2

Hence, the area of the triangle is half the area of the rectangle.

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Step 1: The test statistic is 56.56.

Step 2: Using a chi-square distribution table with 30 degrees of freedom (n - 1), we find that the p-value is less than 0.0001.

Step 3: The rejection region for a left-tailed test with 30 degrees of freedom at the 10% level of significance is any test statistic less than 18.307.

Step 4: The test statistic of 56.56 is greater than the critical value of 18.307.

Step 5:  The 90% confidence interval for the variance of force on the helmets is [1615.46, 4123.82]

In statistics, variance is a measure of the spread or dispersion of a set of data points. It is calculated as the average of the squared differences from the mean.

Step 1: To test whether the standard deviation is significantly less than 40, we can use a chi-square test with the null hypothesis H0: [tex]σ^{2}[/tex] ≥ 1600 lbs² and the alternative hypothesis H1: σ² < 1600 lb[tex]s^{2}[/tex]. The test statistic is:

chi-square = (n - 1) *[tex]s^{2}[/tex] / [tex]σ^{2}[/tex]

where n is the sample size, [tex]s^{2}[/tex] is the sample variance, and [tex]σ^{2}[/tex] is the population variance under the null hypothesis.

Substituting the given values, we have:

chi-square = (31 - 1) * 2350 / 1600 = 56.56

Rounding to two decimal places, the test statistic is 56.56.

Step 2: To determine the p-value for a left-tailed test, we need to find the area under the chi-square distribution to the left of the test statistic. Using a chi-square distribution table with 30 degrees of freedom (n - 1), we find that the p-value is less than 0.0001.

Step 3: The rejection region for a left-tailed test with 30 degrees of freedom at the 10% level of significance is any test statistic less than 18.307.

Step 4: Since the test statistic of 56.56 is greater than the critical value of 18.307, we reject the null hypothesis and conclude that there is sufficient evidence to indicate that the standard deviation is significantly less than 40 at the 5% level of significance.

Step 5: To calculate a 90% confidence interval for the variance of force on the helmets, we can use the formula:

[(n - 1) * [tex]s^{2}[/tex]/ chi-square upper, (n - 1) * [tex]s^{2}[/tex] / chi-square lower]

where chi-square upper and chi-square lower are the upper and lower critical values, respectively, from the chi-square distribution table for 30 degrees of freedom at the 5% level of significance. Substituting the given values, we have:

chi-square upper = 45.722

chi-square lower = 18.307

[(31 - 1) * 2350 / 45.722, (31 - 1) * 2350 / 18.307] = [1615.46, 4123.82]

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The surface areas of the prisms are listed below:

Case 1: 94 in²

Case 2: 72 cm²

Case 3: 40.5 m²

Case 4: 39.1 mm²

Case 5: 130 ft²

Case 6: 136 m²

In this problem we find six cases of prisms, whose surface areas have to be found. Surface area is the sum of the areas of all faces in the prism. Face have either a rectangular or a triangular form, whose area formulas are:

Rectangle

A = b · h

Triangle

A = 0.5 · b ·h

Where:

Now we proceed to determine the surface areas:

Case 1

A = 2 · (4 in) · (5 in) + 2 · (3 in) · (4 in) + 2 · (5 in) · (3 in)

A = 40 in² + 24 in² + 30 in²

A = 94 in²

Case 2

A = 2 · 0.5 · (3 cm) · (4 cm) + (5 cm) · (4 cm) + (5 cm) · (3 cm) + (5 cm)²

A = 12 cm² + 20 cm² + 15 cm² + 25 cm²

A = 72 cm²

Case 3

A = 2 · (3 m) · (7 m) + 2 · (6 m) · (7 m) + 2 · (6 m) · (3 m)

A = 10.5 m² + 21 m² + 9 m²

A = 40.5 m²

Case 4

A = 2 · 0.5 · (4 mm)² + 2 · (4 mm) · (3 mm) + (5.7 mm) · (3 mm)

A = 16 mm² + 6 mm² + 17.1 mm²

A = 39.1 mm²

Case 5

A = 2 · (10 ft) · (5 ft) + 2 · (5 ft) · (1 ft) + 2 · (10 ft) · (1 ft)

A = 100 ft² + 10 ft² + 20 ft²

A = 130 ft²

Case 6

A = 2 · 0.5 · (6 m) · (4 m) + 2 · (7 m) · (5 m) + (7 m) · (6 m)

A = 24 m² + 70 m² + 42 m²

A = 136 m²

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The money in the account will be $252.

For simple interest, use the formula:

I = Prt

where I stands for interest earned, P for principle (amount paid in the beginning), r for yearly interest rate (in decimal form), and t for the time in years.

P equals $200, r equals 0.052, and t equals 5. With these values entered into the formula, we obtain:

I = Prt = ($200)(0.052)(5) = $52

The account will thus have $52 in interest after 5 years. After five years, we add the interest to the principal to determine the account's total balance:

Total = $200 + $52 = $252

Therefore, after five years, the account will have $252.

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Answer:

Since line segment PQ is the result of reflecting line segment AB across the x-axis, we know that the y-coordinates of corresponding points on AB and PQ are the same but have opposite signs.

So if P has coordinates (2,-2) on PQ, then its corresponding point on AB must have coordinates (2, 2). Similarly, if Q has coordinates (8,-2) on PQ, then its corresponding point on AB must have coordinates (8, 2).

Therefore, the length of line segment AB is the distance between points (2, 2) and (8, 2) on the coordinate plane, which is:

AB = |8 - 2| = 6

So the answer is B) 6

Answer:

I believe it's 148.

Step-by-step explanation:

You must do L x W x H to find the volume of a rectangular prism or cube.

The value of x in the circle is 19.5 .

What is secant line of circle?

A secant is a straight line that intersects a circle at least twice in different places. We can draw an endless number of secants on a circle since a circle has an infinite number of points around its perimeter.

Here the given circle using formula for secant line ,

(A+B).B = (C+D).D

Here A = x , B = 8 , C= 12 and D=10. Then,

=> (x+8).8= (12+10).10

=> 8x+64 = 22*10

=> 8x+64 = 220

=> 8x = 220-64 = 156

=> x = 156/8 = 19.5

Hence the value of x in circle is 19.5.

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Answer:6

Step-by-step explanation:

According to the given information, we know that:

Force (F) is constant

Mass (m) of the first object is 4 kg, and its acceleration (a) is 13 m/s².

Using Newton's second law of motion, we know that:

F = m*a

Solving for the force (F) acting on the first object:

F = m*a = 4 kg * 13 m/s² = 52 N

Now, if the same force acts upon an object with a mass of 26 kg, we can use the same equation to find its acceleration (a):

F = m*a

a = F/m

a = 52 N / 26 kg = 2 m/s²

Therefore, the acceleration of the second object is 2 m/s².

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The closest answer among the given options is B) 2,100.

To estimate the number of people in the town who would name chocolate as their favorite ice-cream flavor, we can use proportions. We know that 7 out of 50 people in the sample named chocolate as their favorite. To find the proportion of chocolate lovers in the sample, we can divide the number of chocolate lovers by the total number of people surveyed:

7 chocolate lovers / 50 people surveyed = 0.14

Now, we can apply this proportion to the total population of the town to estimate the number of chocolate lovers:

0.14 * 14,878 (total population) ≈ 2,082.92

Since we can't have a fraction of a person, we can round this number to the nearest whole number:

Approximately 2,083 people in the town would be expected to name chocolate as their favorite ice-cream flavor.

The closest answer among the given options is B) 2,100.

Therefore, we can say: limit sin(x) as x approaches pi/2 does not exist lim sin(x) as x approaches 0 = 0.

Although the function (sin x)/x is not defined at zero, it approaches 1 arbitrarily close as x approaches zero. In other words, when x gets closer to zero, the limit of (sin x)/x = 1.

We can put g(x) equal to -1/x and h(x) equal to 1/x because sin(x) is always between -1 and 1. As x approaches either positive or negative infinity, we know that the limit of both -1/x and 1/x is zero, and as a result, the limit of sin(x)/x is also zero.

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Answer:9

Step-by-step explanation:

Sam completed more of his science fair project than Paul.

To determine who completed more of their science fair project, we can compare the completion percentages of Paul and Sam.

Paul completed 65% of his science fair project, which can be expressed as 0.65 or 65/100.

Sam completed 17/24 of his science fair project, which can also be expressed as a decimal by dividing 17 by 24, which is approximately equal to 0.7083 or 70.83%.

Comparing the two completion percentages, we can see that Sam completed a higher percentage (70.83%) of his science fair project compared to Paul (65%). Therefore, Sam completed more of his science fair project than Paul.

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The total cost of metal that made up the cylinder tank is 4220.16 dollars.

The cylinder has a diameter of 8 ft and a height of 2 ft. The cylinder tank is made up of metals. The metal cost 28 dollars for each foot .

Therefore, the cost of the whole metal for the cylinder tank can be found as follows:

surface area of a cylinder = 2πr(r + h)

where

Therefore,

r = 8 / 2 = 4 ft

h = 2 ft

surface area of a cylinder = 2 × 3.14 × 4(4 + 2)

surface area of a cylinder = 25.12(6)

surface area of a cylinder = 150.72 ft²

Therefore,

1 ft² = 28 dollars

150.72 ft² = ?

cross multiply

cost of the whole metal of the cylinder = 150.76 × 28

cost of the whole metal of the cylinder = 4220.16 dollars

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The distance that the fish was able to travel in all was 23. 9 meters .

The distance from Harry to the fish' s hole can be found by the Pythagorean theorem:

a ² + b ² = c ²

7 ² + 7 ² = c ²

49 + 49 = c²

98 = c²

c = 9. 9

The total distance that the fish traveled can then be found by summing the distance it already traveled with the distance to Harry's:

= 14 + 9. 9

= 23. 9 meters

The fish traveled approximately 23.9 meters in all, rounded to the nearest tenth.

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Answer:

$14.612

Step-by-step explanation:

40% = 0.4

Find a 40% tip on a 36.53 meal.

We Take

36.53 x 0.4 = $14.612

So, the tip is $14.612

The cumulative probability of obtaining a sample result will be approximately 0.0001

We have to apply Formula of Binomial Distribution:

P(X ≤ 168) = ΣP(X = i) for i = 0, 1, 2, .., 168, here in a sample of size n, P(X = i) is the probability of getting exactly i success

We assume that company's claim is true, 0.8 is the probability of success for each trial

P(X = i) = (200 choose i)×[tex]0.8^{i}[/tex] ×[tex]0.2^{200- i}[/tex]

By using this, we can easily find that cumulative probability is 0.0001

So, the probability is very low, this means that company's claim of an 80% success rate can be incorrect

So, further analysis may be needed to draw some conclusions and results

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The equation of a parabola with a vertex at (-1, -1) is y = (x +1)²- 1.

it will cost Vince $5,175 to get new carpet installed, assuming the area to be covered is 500 square feet.

To calculate the cost for Vince to get new carpet installed, we need to add up the cost of the carpet, padding, labor, and hauling away the old carpet.

Let's assume that the area to be covered is 500 square feet. Then, the cost for each component can be calculated as follows:

Cost of carpet = $8/sq ft * 500 sq ft = $4,000

Cost of carpet padding = $0.30/sq ft * 500 sq ft = $150

Cost of labor = $0.75/sq ft * 500 sq ft = $375

Cost of hauling away old carpet = $1.30/sq ft * 500 sq ft = $650

Total cost = Cost of carpet + Cost of carpet padding + Cost of labor + Cost of hauling away old carpet

= $4,000 + $150 + $375 + $650

= $5,175.

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The rate at which Sheila charges customers for each serving =  $2.5 per serving.

Here the table that shows the cost of a cake from Sheila based on the number of servings is:

SERVINGS          TOTAL COST

    100                       $280

    150                       $405

    200                       $530

    250                       $655

We need to find the rate at which Sheila charge customers for each serving.

Consider points (x₁, y₁) = (100, 280) and  (x₂, y₂) = (200, 530)

where x is the number of servings and y coordinate represents the cost of servings.

The rate at which Sheila charges customers for each serving would be,

r = (y₂ - y₁) / (x₂ - x₁)

r = (530 - 280) / (200 - 100)

r = 250 / 100

r = 2.5

Therefore, the required rate is $2.5 per serving.

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According to the given information, the perimeter of the given right-angle triangle is 30ft.

Pythagoras' theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

We can use the Pythagorean theorem to find the length of the missing side of the right triangle, BC:

[tex]BC^2 = AB^2 - AC^2\\BC^2 = 13^2 - 12^2\\BC^2 = 169 - 144\\BC^2 = 25[/tex]

BC = 5

Now that we know all three sides of the triangle, we can find the perimeter by adding them together:

Perimeter = AB + AC + BC

Perimeter = 13 + 12 + 5

Perimeter = 30

Therefore, according to the given information, the perimeter of the given right-angle triangle is 30ft.

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Answer:

75lbs

Step-by-step explanation:

if the mean of the packages was 15 then all the items averaged to 5 pounds each meaning they had a total of 15*5 or 75lbs

Answer:

68 3/4 yds

Step-by-step explanation:

trust me :)

Answer:

see below

Step-by-step explanation:

area of triangle formula  = 1/2 base * height

so 1/2*6*22 =66

not sure why there's no choice of 66

Sampling methods that may be biased for finding the percentage of defective boards in a sawmill production are: selecting 30 consecutive boards, emailing customers and relying on their responses, and selecting every 40th board produced. So, the correct answer is A, B and D.

The biased sampling methods are Examining 30 consecutive boards one hour after production begins may be biased because it only captures a snapshot of the production at that specific time, and the boards selected may not be representative of the entire batch produced during the day.

Emailing customers to ask about defective boards may be biased because the response rate may vary among customers, and customers who experienced a higher or lower number of defective boards may be more likely to respond.

Selecting 20 boards at random each day for 5 days and examining them is less likely to be biased, as long as the selection process is truly random and representative of the entire production.

Selecting every 40th board produced over the course of one week is also less likely to be biased if the production process is consistent and there are no patterns or variations in the production that would affect the quality of every 40th board. So, the correct answer for biased is A, B and D.

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False. While all relationships should be valued and respected, it's unrealistic to say that they all have equal weight. Some relationships may be closer and more intimate than others, or may require more time and energy to maintain.

Additionally, some relationships may have greater consequences or impact on our lives than others. It's important to prioritize and nurture our relationships based on their individual significance and value to us.
In the context of relationships, the term "weight" refers to the importance or influence of a particular relationship. Not all relationships have equal weight because the significance of each relationship varies based on factors such as trust, communication, shared experiences, and emotional connections.

Some relationships are naturally stronger and more influential than others due to these factors, making them more valuable and impactful in a person's life. In contrast, weaker relationships may not have the same level of trust, connection, or influence, making them less important overall. It is essential to recognize and nurture the stronger relationships in one's life to maintain a healthy support system and overall well-being.

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Answer:

153.47 Miles

Step-by-step explanation:

Starting with the total return fee you subtract the base fee from it

Then Divide the that total by .76

And there you go

Thanks for the Submission

The height of the cylinder, given the volume and the diameter of the base, would be 2, 592.46 feet

The given diameter of the base is 10 inches, so we need to find the radius first. The radius is half the diameter:

Radius (r) = Diameter / 2 = 10 inches / 2 = 5 inches

We also need to convert the radius from inches to feet since the volume is given in cubic feet:

5 inches = 5/12 feet = 0.4167 feet

Volume of a cylinder:

Volume (V) = πr²h

450π = π x (0.4167)^2 x h

450 = (0.4167)^2 x h

h = 450 / (0.4167)^2 = 2, 592.46 feet

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