Which of the following functions is graphed below?​

The total surface area of the given cylinder is; MA sq. units

The curved surface of a cylinder is also known as its lateral surface. The area of this lateral surface is referred to as the lateral surface area of the cylinder.

Meanwhile, the formula for the total surface area of the cylinder is;

Total surface area = Lateral surface area + base area

We are given;

lateral surface area = M sq. units

Area of base = A sq. units.​

Thus;

Total surface area = M * A

Total surface area = MA sq. units

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Answer:

76%

Step-by-step explanation:

number of girls is 6

number of boys is 25-6=19

percentage of boys = number of boys ÷ total no of students * 100

so... (19÷25)*100=76%

Answer:

Six rotations around the unit circle correspond to 2160 °.

Step-by-step explanation:
We know that One rotation around a circle is equal to 360 degrees :

i.e.          1 rotation     =     360 ° ........(i)
Hence,   6 rotations  =    ( 6 × 360 ° )

So for 6 rotations, we have 2160 °.

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to get his wage for the next day, you would do 18x1.2, which equals 21.6, so he would now be making $21.6 per hour.

The formula which we would use to know the probability that it is a defective tire of brand A is P(A|D) = P(D|A)P(A) / P(D). P(D) is the probability that a tire produced is defective.

Probability is a numerical description of how possible an event to happen. Tha value of probability is between 0 to 1. Zero probability means something is impossible to happen. Probability 1 shows certainty.

A car producer stocks three types of tires. They are A, B, and C.

The percentage of defective tires is 2%, 1% and 5%, respectively. Someone picks a tire randomly and he gets brand A.

Find the formula to know the probability that it is a defective tire!

The options are

a) P(A|D) = P(D|A)P(A) / P(D)

b) P(D|A) = P(A|D)P(D) / P(A)

c) P(A|D)= P(D/A)P(D) / P(A)

d) P(D|A)= P(A|D)P(A) / P(D)

From the information, we get:

The probability that it is a defective tire of brand A = P(A|D). The formula is

P(A|D) = P(A∩D) / P(D)

P(A|D) = P(D|A)P(A) / P(D)

Hence, if we want to know the probability that it is a defective tire, the formula would be P(A|D)= P(D|A)P(A) / P(D).

The answer is (a).

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Equation of line having passing points (-6,0) and (0,-24) is 4x + y + 24 = 0

What do you mean by equation of line?

The general equation for every straight line is y = mx + c, where m is the gradient (or degree of steepness) of the line and c is the y-intercept (the point in which the line crosses the y-axis).

The variables x and y are related to coordinates on the line in the linear equation y = mx + c.

The formula y = mx + c yields a result for y when we enter a value for x.

As y depends on the value of x, it follows that x is an independent variable and y is a dependent variable.

Two passing points of line are (-6,0) and (0,-24)

Equation of line having two passing points as (a,b) and (c,d) is

\((y-b) = \frac{d-b}{c-a} (x-a)\)

So, here equation of line become ,

\((y - 0) = \frac{-24-0}{0+6}(x+6)\)

⇒ \(y = \frac{-24}{6}(x+6)\)

⇒ y = -4(x+6)

⇒ y = -4x - 24

⇒ 4x + y + 24 =0

Hence, equation of line having passing points (-6,0) and (0,-24) is 4x + y + 24 = 0

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She will need to round up to 4 gallons to ensure she has enough paint for the job. we first need to find the total square footage of her room's walls.

Since there are four walls, the total square footage of the room's walls is 4 x 184 = 736 square feet. Since Maria wants to paint two coats on each wall, she will need twice the amount of paint.

Therefore, she needs to buy enough paint to cover 1472 square feet (736 x 2). Since one gallon of paint can cover 450 square feet, Maria will need 1472/450 = 3.27 gallons of paint. She will need to round up to 4 gallons to ensure she has enough paint for the job.

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The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.

The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.

In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.

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Answer:

14.25

Step-by-step explanation:

5.7*5/2=14.24*2/5, and 5.7*5/2=14.25

If the sample is not truly representative, the conclusion may not accurately reflect the actual average age of all the students at the college.

Based on the given information, it can be concluded that the average age of all the students at City College is likely around 20. However, it's important to note that this conclusion is only valid if the sample of 90 students is representative of the entire student population at City College. If the sample is not truly representative, the conclusion may not accurately reflect the actual average age of all the students at the college.

The average age in a sample of 90 students at City College is 20. However, based on this sample alone, it cannot be conclusively determined that the average age of all the students at City College is also 20. This is because the sample may not be fully representative of the entire student population. More information or a larger sample would be needed to make a more accurate conclusion about the average age of all students at City College.

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If the sample of 90 students is representative of the entire student population at City College, then we can conclude that the average age of all students is approximately 20 years old.

Based on the given information, the average age in a sample of 90 students at City College is 20.

To determine if this sample can be used to conclude the average age of all students at City College, we need to consider these terms:
Sample:

A subset of a population, which in this case is the group of 90 students at City College.
Population:

The entire group of students at City College that we want to make a conclusion about.
Average (Mean) Age:

The sum of ages divided by the total number of students, in this case, 20 years.
Representativeness:

How well the sample reflects the characteristics of the entire population.
If the sample of 90 students is representative of the entire student population at City College, then we can conclude that the average age of all students is approximately 20 years old.

However, if the sample is not representative, the conclusion may not be accurate.

To make a more accurate conclusion, it is important to ensure that the sample is representative by using a larger sample size or random sampling methods.

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The percentage of male guinea pigs in the pen at the pet store is 30%.

The percentage refers to the ratio of a number or value compared to another.

Percentages are the results of division operations multiplied by 100.

The ratio of female to male guinea pigs = 7:3

The sum of ratios = 10

The percentage of female guinea pigs = 70% (7/10 x 100)

The percentage of male guinea pigs = 30% (3/10 x 100)

Thus, we can conclude that whereas there are 70% of female guinea pigs in the pet store's pen, 30% are male.

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The probability that a randomly selected unit will contain at least one surface-finish defect is 0.0952.

The number of surface finish flaws in this issue will follow a Poisson distribution, and since the mean is given, it is necessary to obtain the probability. More solutions will be found by using the Poisson distribution's normal approximation.

The following formula can be used to determine the likelihood that a randomly chosen unit will have at least one surface finish flaw:

The distribution's average and standard deviation are λ = 0.1

P(X ≥ 1) = 1 − P(X < 1)

P(X ≥ 1) = 1 − P(X = 0)

P(X ≥ 1) = 1 − \(\frac{e^{-0.1}(0.1)^0}{0!}\)

After simplification

P(X ≥ 1) = 0.0952

​

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Answer:

j=$1.75/lb

t=$2.5/lb

Step-by-step explanation:

(1) 5t+6j=23

(2) 3t+2j=11, t=11/3 - 2j/3

sub t into (1):

5(11/3 - 2j/3) +6j = 23

55/3 -10j/3 +6j =23

8j/3=14/3

8j=14

j=7/4

sub j into t:

t=11/3 -2(7/4)/3

t=5/2

Let's assume that the initial velocity of the frog is zero. Using the kinematic equations of motion, the height of the frog at any time can be determined as given below.
s = ut + 1/2at², where s is the distance, u is the initial velocity, a is the acceleration, and t is the time taken.
Here, s = 1.24 m - h (since the initial height of the frog is 1.24 m), u = 0 (since the initial velocity of the frog is zero),
a = -9.8 m/s² (the acceleration due to gravity), and t is the time taken. Let's assume that the frog reaches the ground after t seconds. Hence, 4.3 ft = 1.3 m

The height of the frog when it is at 4.3 ft above the ground can be written as: 1.3 m = -4.9t² + 1.24 m
By solving the above equation for time, we get, t = 0.575 s. The time taken by the frog to reach the ground is 0.575 seconds. Therefore, the horizontal distance traveled by the frog can be determined as: d = vt, where d is the horizontal distance, v is the velocity of the frog, and t is the time taken. v can be determined using the formula:
v = u + at. Here, u = 0 (since the initial velocity of the frog is zero), a = -9.8 m/s² (the acceleration due to gravity), and t is the time taken. Hence, v = -9.8 x 0.575 = -5.63 m/s. Thus, the horizontal distance traveled by the frog is given by:
d = vt = -5.63 x 0.575 = -3.24 m. Since the distance cannot be negative, the horizontal distance traveled by the frog is 3.24 m. Using the same method, we can determine the horizontal distance traveled by the frog in the other direction. Therefore, the two distances from the base of the stump where the frog was 4.3 feet above the ground after it jumped are 3.24 m and -3.24 m.

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Answer:

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

12x+5=6+12x

0x+5=6

5 cannot equal 6

The income you need to afford a $425,000 house is largely dependent on your debt-to-income ratio, credit score, and down payment. However, a general rule of thumb is to have an annual income that is at least three times the purchase price of the home, which in this case would be $1,275,000.

To more accurately determine the income needed to afford a $425,000 house, consider factors such as the interest rate on the mortgage, property taxes, homeowners insurance, and any homeowner association fees.

These additional expenses can significantly impact your monthly mortgage payment and thus your income requirements.
It's important to keep in mind that lenders have varying criteria when determining mortgage eligibility and income requirements, so it's best to speak with a mortgage professional to get a more accurate estimate based on your individual circumstances.

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The points which are on the axes 9 units from the origin is (0,9)

First, let's recall what the origin is. The origin is the point where the x and y axes intersect, which in this case is (0,0). To find the distance between the origin and a point on the graph, we can use the distance formula, which is:

distance = √((x₂ - x₁)² + (y₂ - y₁)²)

where (x₁, y₁) is the coordinates of the origin and (x₂, y₂) is the coordinates of the point we are interested in.

To make things easier, we can plot the circle with radius 9 on the graph. This circle will intersect with the x and y axes at points that are 9 units away from the origin. We can see that the points that lie on the axes 9 units away from the origin are:

   • Point I at (0,9)

   • Point P at (0,-9)

   • Point J at (-9,0)

   • Point E at (5,0)

These are the four points that are 9 units away from the origin. We can verify this by calculating the distance between each point and the origin using the distance formula. For example, the distance between point I and the origin is:

distance = √((0 - 0)² + (9 - 0)²) = √81 = 9

And we can see that the distance is indeed equal to 9, which means that point I is on the circle with radius 9 centered at the origin.

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Answer:

Step-by-step explanation:

find "Y"

180 - 51 - 56 = 73°

the sum of the interior angles in a triangle is 180°

Find "x"

x = 180 - 73 - 72

x = 35

Answer:

60

Step-by-step explanation:

y =  k/x ( as y is inversely proportional to x)

yx = k

--> k = yx

k = (6)(10)

k = 60

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Carrie will arrive at home at 4:02 PM on the same day she leaves.

To determine the time Carrie will arrive, we need to add the number of minutes it takes her to get home to her departure time.

Carrie leaves for home at 1:32 PM. To convert this time to minutes, we multiply the hours (1) by 60 and add the minutes (32). This gives us a total of 92 minutes.

Next, we add the 58,858 minutes it takes Carrie to get home to the departure time of 92 minutes:

92 minutes + 58,858 minutes = 58,950 minutes.

Now, we need to convert the total minutes back to hours and minutes. Since there are 60 minutes in an hour, we divide 58,950 by 60:

58,950 minutes ÷ 60 = 982.5 hours.

The decimal part represents the remaining minutes. To convert this decimal to minutes, we multiply it by 60:

0.5 (decimal part) × 60 = 30 minutes.

Therefore, Carrie will arrive at 982 hours and 30 minutes after her departure time.

To convert this back to a 12-hour clock format, we divide 982 by 12, which gives us a quotient of 81 with a remainder of 2. This means Carrie will arrive 81 days after her departure time, with an additional 2 hours and 30 minutes.

As for the exact time she will arrive on the day she leaves, we need to add the 2 hours and 30 minutes to her departure time:

1:32 PM + 2 hours and 30 minutes = 3:62 PM.

However, since we are using a 12-hour clock format, we need to adjust the time to the correct format:

3:62 PM can be rewritten as 4:02 PM.

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The area of hexagon is found to be 18 square units by using the giving conditions.

P = 6a, where an is the length of one of its sides, is the formula for a regular hexagon's perimeter. Here, the hexagon's interior angles are all 120 degrees.

Given: The perimeters of an equilateral triangle and a regular hexagon are equal.

We need to find the area of the hexagon.

Let,

x = side of trainagle

a = side of hexagon

3x = 6a

x = 2a

Area of equilateral triangle = (\(\sqrt{3}\)/4)x² = 12 square units

Area of hexagon is given as follows:

= 6(\(\sqrt{3}\)/4)a²

= (6\(\sqrt{3}\)/4)(x²/4)

= 12(6)/4

= 18 square units

Therefore, the area of hexagon is found to be 18 square units by using the giving conditions.

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Answer:

B.) t = (1.06)25

Step-by-step explanation:

Answer: The domain of f-1(x) is all real numbers and the range is all real numbers greater than 0.

Step-by-step explanation:

The inverse function of f(x) = ln(x) is:

f-1(x) = exp(x).

And as:

The domain of f(x) is: x ∈ R, x > 0.

The range of f(x) is: x ∈ R

Then for the inverse, we should have the opposite:

The domain of f-1(x) is: x ∈ R  (the exponential function does not have any problems like the logarithm, so you can actually input any real value).

The domain is: x ∈ R, x > 0.l

Because, for example:

e^0 = 1

e^-1 = 1/e > 0.

e^-n = 1/e^n > 0.

e^x is always positive, then the range is the set of all real numbers large than zero.

Answer:

The answer is C.

Step-by-step explanation:

4 (1/16)  =  4/16   =  1/4

(1/4) / 4    =   1/16  each day

Answer:

\(\frac{5}{24}\) of the book each day

\(83\frac{1}{3}\) % of the book each day

Step-by-step explanation:

1 - ⅙

⅚

⅚ ÷ 4

\(\frac{5}{24}\)

The possible values of X, which represents the number of nonzero digits in a randomly selected 4-digit PIN without any digit restrictions, range from 1 to 4.

In a randomly selected 4-digit PIN, each digit can take on any value from 0 to 9, inclusive. To determine the possible values of X, we need to consider the different scenarios for the number of nonzero digits in a PIN.

If all four digits in the PIN are nonzero, then X = 4. There are 9 choices for each digit (1-9), resulting in \(9^4\)= 6561 possible PINs.

If exactly three digits in the PIN are nonzero, then X = 3. The nonzero digit can be in any of the four positions, and there are 9 choices for that digit. The remaining two positions can be filled with any digit from 0 to 9, resulting in a total of 4 * 9 * 10 * 10 = 3600 possible PINs.

If exactly two digits in the PIN are nonzero, then X = 2. There are 9 choices for each nonzero digit, and the remaining two positions can be filled with any digit from 0 to 9. Considering all possible combinations, we have a total of (4 choose 2) * \(9^2\) * 10 * 10 = 3240 possible PINs.

If exactly one digit in the PIN is nonzero, then X = 1. There are 9 choices for the nonzero digit, and the remaining three positions can be filled with any digit from 0 to 9. Taking all possible combinations into account, we have a total of (4 choose 1) * 9 *\(10^3\) = 3600 possible PINs.

Therefore, the possible values of X range from 1 to 4, depending on the number of nonzero digits in the randomly selected 4-digit PIN with no restrictions on the digits.

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Answer:

C. 4/7

D. 8/11

Step-by-step explanation:

4/7 = 0.571428571428

8/11 = 0.727272727272727

These are repeating decimals, unlike the first two:

A. 2/5 = 0.4

B. 8/10 = 0.8

Answer:

8/11 (D)

Step-by-step explanation:

Popped it into a calculator that turns fractions into decimals, and I got 0.7272727... (repeating) Hope this helps!

Answer:

length=91

width=2

Step-by-step explanation:

182/2=91

91*2=182

Answer: Circle: 4 Square: 18 Triangle: -5

Step-by-step explanation: Hope this helps! :)

Answer:

O = 4   Diamond = 18      Δ = - 5

Step-by-step explanation:

The O is 4 because in clue 2 we see that 3 x 4 = 12

Now we can solve clue 1.

Diamond + 2 = 5 * O

Diamond + 2 = 5 * 4

Diamond + 2 = 20          Subtract 2 from each side

Diamond = 20 - 2

Diamond = 18

And now we can solve clue 3 for the Δ

2 * O = Diamond + 2 * Δ

2 * 4 = 18 + (2 * Δ)

8 = 18 + (2 * Δ)            Subtract 18 from both sides.

8 - 18 = (2 * Δ)  

- 10 = (2 * Δ)                Divide each side by 2

- 10 / 2 = (2 * Δ) / 2              The 2 on the right will cancel

- 10 / 2 = Δ

-5 = Δ

So       O = 4   Diamond = 18      Δ = - 5