There are six girls and ten boys in a class. Three of the girls and four of the boys wear glasses.
a The teacher chooses one person at random. What is the probability that the teacher chooses:

The total volume is the one in option C, 708 cubic centimeters.

We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.

Then the volume of the first prism is:

V = 8cm*6cm*13cm = 624 cm³

And the volume of the second prism is:

v' = 3cm*4cm*7cm = 84 cm³

Adding that we will get:

total volume =  624 cm³+  84 cm³ = 708 cm³

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Step-by-step explanation:

To find the slope of the line between two points, you can use the formula:

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

Plugging in the given coordinates, we have:

m = (-4 - (-2)) / (2 - (-2))

m = (-4 + 2) / (2 + 2)

m = (-2) / (4)

m = -1/2

The slope of the line through the points (-2, -2) and (2, -4) is -1/2.

Answer: 2/13.86

Step-by-step explanation:

A lines rate of change is equal to it's slope

Slope is rise over run (Y/X)

The point is up 2 on the Y axis and over 13.86 on the X axis

The slope is= 2/13.86

Using the secant-secant theorem, the possible values of x are x = 6 and x = -10. -10 cannot be a value of x because length cannot be negative.

From the question, we are to determine the value of x in the given diagram.

The Secant-secant theorem states that

"Given two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other segment and its external segment"

Thus,

We can write that

5 × (5 + 7) = x × (x + 4)

Simplifying

5 × 12 = x² + 4x

60 = x² + 4x

x² + 4x - 60 = 0

Solve the quadratic equation

x² + 4x - 60 = 0

x² + 10x - 6x - 60 = 0

x(x + 10) - 6(x + 10) = 0

(x - 6)(x + 10) = 0

x - 6 = 0 or x + 10 = 0

x = 6 or x = -10

Since x cannot be negative,

x = 6

Hence, the value of x is 6

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Answer:b

Step-by-step explanation:b

9. The ball returns to 98.00% of its previous height after each bounce Option B

10. It will take 183 bounce until the ball bounces back to a height less than 3 inches.  Option B

To solve for k% of previous height after each bounce, we say

10×(k/100)⁵ = 9.04

k = [tex](9.04/10)^{1/5}[/tex]×100

k = 98.00

To find out how many bounces it takes for the ball to bounce back to a height less than 3 inches (or 0.25 feet), we use the inequality

10 × (0.961)ⁿ < 0.25

The logarithm of both sides gives

n × log(0.961) < log(0.025)

n > log(0.025) / log(0.961)

n > 182.593

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The two answers that describe the unit rate at which Darrell walks are 1.5 seconds per meter and 1.5 meters per second

To find the unit rate at which Darrell walks, we need to determine how many meters he walks per second. We are given that he walks 90 meters in 60 seconds.
Step 1: Divide the total distance by the total time to find the unit rate.
Unit rate = (total distance) / (total time)
Step 2: Plug in the given values and calculate.
Unit rate = 90 meters / 60 seconds
Step 3: Simplify the fraction.
Unit rate = 1.5 meters per second
The two answers that describe the unit rate at which Darrell walks are:
1. 1.5 meters per second
2. 30 seconds per meter (the reciprocal of the unit rate)

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The statement is examined using the equation to find that

1. False

2. False

3. True

4. False

The given equation is

f(x) = 32 / ( 1 + e⁰°⁵ˣ)

Evaluating the first statement by substituting

For x = 3, f(3 ) gives 5.84

For x = 6, f( 6) gives  1.52

5.82 - 1.52 is not equal to 9 ft hence the statement is False

Evaluating the second statement by substituting

when x = 0, the function gives 16 which is against 2 ft hence False

Evaluating the third statement by substituting

For x = 1, f(1) = 12.08 this is less than 16 ft hence a decline hence this is True

fourth statement

The trees maximum height, captured should be 16 ft not 35 ft hence False

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The term (100 C 15) represents the number of ways to choose 15 defective screws out of 100 packs.

In a scenario where there are 2 defective screws out of 100 packs, each containing 500 screws, we can calculate the probability of obtaining 15 defective screws. Let's assume that each pack is independent of the others.

The probability of a single screw being defective is 2/500, as there are 2 defective screws out of 500 in each pack.

Conversely, the probability of a screw being non-defective is 498/500.

To find the probability of obtaining exactly 15 defective screws, we can use the binomial distribution formula. The probability (P) can be calculated as follows:

P = (100 C 15) * (2/500)^15 * (498/500)^85

The term (100 C 15) represents the number of ways to choose 15 defective screws out of 100 packs.

By plugging these values into the formula and performing the calculations, the probability of obtaining exactly 15 defective screws can be determined. However, I am unable to perform the calculation for you within the given word limit.

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[tex]\cos(40^o )=\cfrac{\stackrel{adjacent}{32}}{\underset{hypotenuse}{x}} \implies x=\cfrac{32}{\cos(40^o)}\implies x\approx 41.77[/tex]

Make sure your calculator is in Degree mode.

Answer:14/165

Step-by-step explanation:

its a fraction i did the same qestion and got it right

The mean absolute deviation for the data-set in the table is given as follows:

1.52 million.

The mean for the data-set in this problem is given as follows:

(1.5 + 3.8 + 1.3 + 1.6 + 2.9 + 1.4 + 0.9 + 2.3 + 8.4 + 1.3)/10 = 2.54.

The deviations are given as follows:

Hence the mean absolute deviation is given as follows:

(1.04 + 1.26 + 1.24 + 1.06 + 0.46 + 1.14 + 1.64 + 0.24 + 5.86 + 1.24)/10 = 1.52 million.

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Answer:

dwdaddaw

Step-by-step explanation:

ad plus devide

if we will divide 137 with 100 and then multiply it with 680 you will gett your answer

the answer is 931.6

Answer:

931.6

Step-by-step explanation:

We need to change the percent to decimal form.

137%  = 1.37

Multiply this by 680.

1.37 * 680

931.6

Answer: If the number is placed on the X as in (X,Y) the X value will rise but the Y value will stay the same, but if the number is played on the Y, the Y value will go up, and the X value will stay the same

The measure of value of ∠5 is 83°.

Now, It is given that;

Two Lines m and n are parallel with each other and l is the transversal crossing the two given parallel lines.

And, m∠6 = 97°,

Since, Two rays combined into an angle have a single terminal. The point is known as the vertex of the angle, while the rays are known as its sides, occasionally as its legs, and occasionally as its arms.

Hence, Then by using the property of liner pair angles, we have

⇒ m∠5 + m∠6=180°

(Because they form a linear pair angles.)

⇒ m∠5 + 97 = 180

Subtract 97 both side, we get;

⇒ m∠5 + 97 - 97 = 180 - 97

⇒m∠5 = 180 - 97

⇒m∠5 = 83°.

Therefore, the value of the measure of ∠5 is,

⇒ ∠5 = 83°.

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There is a bias because the question suggests a particular answer. Option B

A systematic inaccuracy or departure from the true value that causes inaccurate conclusions to be drawn about a population or topic under study is referred to as bias in research. Any step of the research process, including study design, data collecting, analysis, and interpretation, is susceptible to bias.

It may be caused by a number of variables, including the sample strategy, participant selection, measuring methods, the researcher's own ideas and preconceptions, or the influence of outside variables like funding sources or political motivations.

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Given that this is an isosceles triangle, then the lengths of the sides opposite the two 45º angles have to be the same length.

For this reason, x = 8.

And since x = 8 and there's only one answer with x=8, the first option must be the answer.

You can calculate the value of y using the Pythagorean Theorem.  

   [tex]y^2 = 8^2+8^2[/tex]
which will lead you to [tex]y=8\sqrt{2}[/tex].  

The solutions of the given equations are x = 0 and x = -36.

We have,

To solve these equations:

9x - 7 = -7

We can add 7 to both sides to isolate the variable:

9x - 7 + 7 = -7 + 7

Simplifying the left-hand side and the right-hand side, we get:

9x = 0

Finally, dividing both sides by 9, we get:

x = 0

Next, to solve:

-1 = 5 + x/6

We can begin by subtracting 5 from both sides:

-1 - 5 = 5 + x/6 - 5

Simplifying the left-hand side and the right-hand side, we get:

-6 = x/6

Finally, multiplying both sides by 6, we get:

-36 = x

Thus,

The solutions of the given equations are x = 0 and x = -36.

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The complete question.

9x - 7 = -7

-1 = 5  + x/6

The solution is it's hard to say which company would be cheaper to hire based on the information provided, but it's recommended to check the warranty, prices of parts, and reputation of both companies, and to get a second opinion or quote from both companies before making a decision.

Here,

we can see that the function C(x) = 25x + 75 represents the labor cost (in dollars) for Bob's Auto Repair to replace your alternator, where x is the number of hours. We can use this function to find the cost of replacing an alternator that is estimated to take 5 hours of labor.

C(5) = 25(5) + 75 = 125 + 75 = 200

We also have the labor cost for the main competitor, Budget Auto Repair, in a table format.

Hours Cost

1          $90

2         $130

3         $170

We can see that the cost of labor increases as the number of hours increases. From the information provided it's hard to say which company would be cheaper to hire, however the company with the function C(x) = 25x + 75 would be cheaper if the alternator takes more than 4 hours of labor, otherwise Budget Auto Repair would be cheaper.

It's important to check the warranty, prices of parts, and reputation of both companies. If a company has a good reputation and a good warranty, it may be worth paying a little more for labor.

It's also a good idea to get a second opinion or ask for a quote from both companies before making a decision.

In conclusion, it's hard to say which company would be cheaper to hire based on the information provided, but it's recommended to check the warranty, prices of parts, and reputation of both companies, and to get a second opinion or quote from both companies before making a decision.

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complete question:

19) The function C(x) = 25x+75 represents the labor cost (in dollars) for Bob's Auto Repair to replace

your alternator, where x is the number of hours. The table below shows sample labor costs from its main

competitor, Budget Auto Repair. The alternator is estimated to take 5 hours of labor. Which company

would you hire? Explain.

Hours 1,2,3

Cost

$90 $130 $170

The average gas mileage of the cars traded is 15.8 miles per gallon round to the nearest.

Let's assume that the average gas mileage of the cars traded in is x miles per gallon. According to the problem, the average increase in gas mileage for the new car purchased versus the car traded in was 61%. This means that the new car gets 61% more miles per gallon than the car traded in. We can express this relationship mathematically as:

25.4 = x + 0.61x

Simplifying the right-hand side of the equation, we get:

25.4 = 1.61x15.78

Dividing both sides by 1.61, we get:

x = 15.78

Therefore, the average gas mileage of the cars traded in was approximately 15.8 miles per gallon, rounded to the nearest tenth.

To understand this result, we can interpret it as follows: for the first week of the "Cash for Clunkers" program, the average gas mileage of the new cars purchased was 25.4 miles per gallon, which is 61% higher than the average gas mileage of the cars traded in. This suggests that the program was successful in incentivizing people to trade in their old, less fuel-efficient cars for new, more fuel-efficient cars.

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Answer:

Step-by-step explanation:

Pneumonoultramicroscopicsilicovolcanoconiosis

Answer: Supercalafragilisticexpialadocious

Step-by-step explanation:

The area of the pentagon using the composite area formula is 37 in².

A pentagon is one of the many types of polygon having five sides and five angles.

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

Formula:

From the diagram,

Given:

Substitute these values into equation 1

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Answer: 8000

Step-by-step explanation:

If the volume of an open rectangular object or space is 24.3m³ with a height of 2.7m, the surface area is 9m.

The surface area can be determined by dividing the volume by the height.

This is because the product of the surface area and the height gives the volume.

The surface area is a product of the length and width, while the volume is the product of the length, width, and height.

Volume = 24.3m³

Height = 2.7m

Surface area = 9m (24.3m³ ÷ 2.7)

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The size tray of plants which is the best value for money is large tray.

A small tray of 10 plants costs £2.50

Cost per unit = Total cost / number of plants

= £2.50 / 10 plants

= £0.25 per plant

A medium tray of 40 plants costs £8.40

Cost per unit = Total cost / number of plants

= £8.40 / 40 plants

= £0.21 per plant

A large tray of 90 plants costs £12.60

Cost per unit = Total cost / number of plants

= £12.60 / 90 plants

= £0.14 per plant

Hence, the large tray of 90 plants costs £12.60 is the best buy for your money.

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Answer:

The domain of a function is the set of all possible input values for the function. In this case, the function is a graph, so the domain is the set of all possible x-values that correspond to points on the graph.

To find the domain, we need to consider all of the points on the graph. We can see that the graph extends infinitely to the left and right, so all real numbers are possible input values. Therefore, the domain of the function is all real numbers, or R.

Here is a more formal definition of the domain of a function:

The domain of a function is the set of all real numbers x for which the function f(x) is defined.

In other words, the domain is the set of all input values for which the function produces a valid output value.

Step-by-step explanation:

A type of transportation is LEAST likely to take more than 30 minutes include the following: d. train.

In order to determine the type of transportation that is least likely to take more than 30 minutes for Conrad to get to an appointment at the other end, we would have to compare the median minute for each data set (type of transportation) that is represented on the box-and-whisker plot shown above.

By critically observing the box-and-whisker plot, we can reasonably infer and logically deduce that a train is the type of transportation that is least likely to take more than 30 minutes because its median minute is the lowest compare to the other data set (type of transportation) that is represented on the box-and-whisker plot shown above.

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