how to make 18.2% in to decimal​

Answer:

V = 96.16

Step-by-step explanation:

Formula:

V = πr²h

r = d/2 = 1.75

V = 3.14(1.75)²10

V = 96.16

Answer:

D

Step-by-step explanation:

Have a great summer :)

Answer:

C

Step-by-step explanation:

The slope is negative, so we can exclude the graph A and D

If we substitute y with 2 and x with -3 we have

2 = -4/3 (-3) -2

2 = 4 - 2

2 = 2

the equality is verified so C is the answer

Answer:

Variable: m

3 more than twice as many ringtones as Mary:

3+2m

3+2(5)

3+10

13

Step-by-step explanation:

Answer:

I got you

Step-by-step explanation:

The variable m represents the number of ringtones Mary has. The algebraic expression for this phrase is 2m + 3, where m is the number of ringtones Mary has. If Mary has 5 ringtones, then the total amount of ringtones is 2*5 + 3 = 13.

Hope this helps and let me know if you need me to explain something further!

3 (hight) × 8 (base) = 24

24 ÷ 2 = 12 (area of triangle)

12 × 2 = 24 (because there are 2 triangles)

5 × 7 = 35 (because length times width)

35 × 2 = 70 (because there are 2 rectangles)

8 × 7 = 56 (because of the base)

24 + 12 + 24 + 35 + 70 + 56 = 221

In fact, if we knew that 64 = 8 sqrt 64 = pm 8 64 = 8, then x would no longer be a function and would instead be a relationship, causing the graph to be repeated twice with the value 64. (en 8 y -8).

For instance, the 64-bit number, which is written as 4, is 4, since 64. Additionally, it is the length of a 64-volume cube's arista.

What our community finds fascinating. La raiz sexta es 2 because cuando dividimos 64/2 obtenemos un resultado especfico and cuando multiplicamos seis veces dos obtenemos 64.

conversation of 64 into binary

Binary value for 64 is 1000000. In a binary number system, we only utilize the digits 0 and 1, as opposed to the decimal number system, which uses the numbers 0 to 9 to express a number (bits).

= \(64_{10}\) = \(1000000_{2}\)

here, the binary of \(64_{2} = 1000000_{2}\)

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The internet protocol that contains the IP address is the Internet Protocol (IP), the correct option is Internet protocol. The other options, TCP and SMTP, are protocols that operate on top of IP and do not contain the IP address themselves.

The correct answer is the Internet Protocol (IP). IP is responsible for delivering packets of data from the source to the destination based on IP addresses, while other protocols like TCP and SMTP handle different aspects of data transmission and communication.

Therefore, the correct option is Internet protocol.

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The correct answer is the value x such that: P(X ≥ x) = 0.95

(a) The sum of independent exponential variables with the same rate parameter follows a gamma distribution. In this case, since each T_i follows an exponential distribution with a rate parameter of 1/100 (mean of 100), the sum ∑_{i=1}^{10} T_i follows a gamma distribution with shape parameter k = 10 and scale parameter θ = 100. Therefore, ∑_{i=1}^{10} T_i ∼ Gamma(10, 100).

(b) To find the probability of successful operation for at least 1.5 years, we need to calculate the cumulative distribution function (CDF) of the gamma distribution at 1.5 years (547.5 days). Using the gamma CDF, denoted by F_X(x), we have:

P(X ≥ 547.5) = 1 - F_X(547.5)

Using the gamma CDF with shape parameter k = 10 and scale parameter θ = 100, we can calculate this probability.

(c) To determine the number of spares needed to be 95% sure of successful operation for at least two years, we need to find the point where the cumulative distribution function (CDF) of the gamma distribution is 0.95. In other words, we need to find the value x such that: P(X ≥ x) = 0.95

Using the gamma CDF with the appropriate shape and scale parameters, we can solve for x.

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Answer:

1: 282 children were surveyed

2: 39 children liked only the Little Mermaid

3: 43 children liked only the 101 Dalmatians

4: 56 children liked Micky Mouse only

Step-by-step explanation:

For question number one I simply added all the children's answers together.

For questions 2-3 I looked at the data given.  

Hope this helps! :)

Answer: Yes

Step-by-step explanation:

The number of roots of the equation 1/x = x² + 1 is given as follows:

One.

The number of solutions of the system of equations is given by the number of times which the two functions intersect.

When the two functions intersect, we have that:

1/x = x² + 1

Hence:

1/x  - (x² + 1) = 0.

Which is the number of roots of the equation.

From the graph, the two functions intersect at one point, hence the number of roots is of one.

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Answer:

1

Step-by-step explanation:

|x| means the absolute value, which is 4 and -4

Answer:

A

Step-by-step explanation:

So we have the equation:

\(|x|=4\)

Solve for x. Use the definition of absolute value:

\(|x|=4\)

This means that:

\(x=4\text{ or } x=-4\)

And... we're done :)

The answer is A.

Answer:

WP=25%

Step-by-step explanation:

Equation:

WP*72=18

WP=18/72

WP=0.25

WP=25%

Answer:

12.96

Step-by-step explanation:

%/100

The shortest possible length that Zara's fence could be is 12 feet long.

The fence panels Zara uses are 6 feet long each and the fence panels that Chester uses is each 4 feet long.

The multiple of the number 6: 6, 12, 18, 24

The multiple of the number 4: 4, 8, 12, 16, 20, 24

The numbers 6 and 4 have the same multiple 12, 24. The least common multiple of them is 12.

So Zara's fence has the shortest length is 12 feet, because Zara and Chester have the same length fence as Zara uses fence panels that are each 6 feet long. Chester uses are 4 feet long.

The shortest length of Zara's fence is 12 feet.

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Answer: Choice D) 76

Explanation:

"Sum" means we add the numbers

63+13 = 76

Answer:

D

Step-by-step explanation:

63+13= 76 because sum is add :)

This situation does not contradict Rolle's Theorem because Rolle's Theorem requires the function to be continuous on a closed interval and differentiable on an open interval, which is not satisfied by f(x) = tan x in the interval (0, π).

To show that f(0) = f(π), we evaluate the tangent function at these points. At x = 0, tan(0) = 0, and at x = π, tan(π) = 0. Therefore, f(0) = f(π).

To investigate whether there exists a number c in the interval (0, π) such that f'(c) = 0, we need to find the derivative of f(x). The derivative of tan x is given by f'(x) = sec² x. However, the secant squared function is never equal to zero. Therefore, there is no c in the interval (0, π) where f'(c) = 0.

This situation does not contradict Rolle's Theorem because Rolle's Theorem requires certain conditions to be met. First, the function must be continuous on the closed interval [a, b], which is not satisfied by f(x) = tan x since it is not defined at x = π/2. Second, the function must be differentiable on the open interval (a, b), but f'(x) = sec^2 x is not defined at x = π/2. Thus, the requirements of Rolle's Theorem are not fulfilled, and its conclusion does not apply to f(x) = tan x in the interval (0, π).

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Answer:117

Step-by-step explanation:

I’m good at math

Answer:

117 Roses

Step-by-step explanation:

234 *0.5 = 117

For this problem we have the following expression given:

And we can conclude that it's incorrect since:

And 325 is not equal to 9

Answer:

A

Step-by-step explanation:

slope is -1 and y intercept is -4

The probability of flipping a tail and obtaining a white marble from the bag is 1/6

The sample space is given as:

Coin = 2 faces

White Marble = 1

Purple Marble = 2

The probability of obtaining a tail is:

P(Tail_= 1/2

The probability of obtaining a white marble from the bag is:

P(White) = 1/3

So, the required probability is:

P = 1/2 * 1/3

Evaluate

P = 1/6

Hence, the probability of flipping a tail and obtaining a white marble from the bag is 1/6

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The equation of the line;

Problem statement

Write the equation of the line; with the given properties, in slope-intercept form.

Slope (m)= -5 through (-5, 5)

Solution

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the

y-intercept.

Since (-5, 5 ) is a point on the line, we can "plug in" -5 for x and 5 for y into our equation to obtain

We now substitute for b now

The equation of the line;

From the given information , upon analysis, the correct statements are A and D.

To determine which statements are true, let's analyze the given information. We have a triangle ABC, where AB is congruent to BC. D is the midpoint of AC, and BD is perpendicular to AC. The length of AD is given as 4x, and CD is given as x+9.

A. To verify if BD bisects AC, we need to check if AD is congruent to DC. We know that AD = 4x and CD = x+9. Setting them equal to each other, we have 4x = x+9. Solving this equation, we find x = 3. Substituting x = 3 back into the lengths, we have AD = 4(3) = 12 and CD = 3+9 = 12. Therefore, AD is congruent to CD, confirming statement A is true.

B. To determine if △ABC is isosceles, we need to check if AB is congruent to BC. Given that AB is congruent to BC, statement B is true.

C. To verify if BD is the perpendicular bisector of AC, we need to check if BD is perpendicular to AC and if it bisects AC. We know that BD is perpendicular to AC, but it does not necessarily bisect AC. Since statement C is not necessarily true, it is false.

D. The length of AD is given as 4x. We found earlier that x = 3, so substituting this value, we have AD = 4(3) = 12. Therefore, statement D is true.

The statements that must be true are A and D. BD bisects AC, and AD is equal to 12.

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The ladder reaches approximately 22.7 feet up the wall. B.

To determine how high up the wall the ladder reaches, we can use trigonometry.

We have a right triangle formed by the ladder, the wall, and the ground.

The length of the ladder represents the hypotenuse of the triangle, the distance from the foot of the ladder to the wall represents the adjacent side, and the height we want to find represents the opposite side.

Given that the ladder makes an angle of 74° with the level ground and the distance from the foot of the ladder to the wall is 6.5 feet, we can use the cosine function to find the length of the ladder.

cos(74°) = adjacent/hypotenuse

cos(74°) = 6.5/hypotenuse

Solving for the hypotenuse:

hypotenuse = 6.5 / cos(74°) ≈ 22.7 ft

We can use trigonometry to calculate how high up the wall the ladder extends.

The ladder, the wall, and the floor come together to create a right triangle.

The height we're looking for corresponds to the opposite side, the distance from the ladder's foot to the wall corresponds to the adjacent side, and the length of the ladder corresponds to the triangle's hypotenuse.

We can use the cosine function to determine the length of the ladder given that it forms a 74° angle with the level ground and that it is 6.5 feet from the bottom of the ladder to the wall.

adjacent/hypotenuse = cos(74°)

6.5 cos(74°) hypotenuse

The hypotenuse may be calculated as follows: hypotenuse = 6.5 / cos(74°) 22.7 foot

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=============================================

Explanation:

x = number of cups

y = total height

We have these ordered pairs

(x1,y1) = (2,16)

(x2,y2) = (4,20)

Let's find the slope of the line through those points.

\((x_1,y_1) = (2,16) \text{ and } (x_2,y_2) = (4,20)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{20 - 16}{4 - 2}\\\\m = \frac{4}{2}\\\\m = 2\\\\\)

A slope of 2, aka 2/1, means each time x goes up by 1, the y value goes up by 2.

It means each time we add a cup, the total height goes up by 2 cm.

This isn't the final answer, but it helps get us there.

------------

We'll then use point-slope form to determine the equation.

\(y-y_1 = m(x - x_1)\\\\y-16 = 2(x - 2)\\\\y = 2(x - 2)+16\\\\y = 2x - 4+16\\\\y = 2x + 12\\\\\)

The last step is to plug x = 1 into that equation to determine the height of 1 cup.

So,

\(y = 2x + 12\\\\y = 2*1 + 12\\\\y = 2 + 12\\\\y = 14\\\\\)

We have x = 1 cup lead to a total height of y = 14 cm.

The final answer is 14 cm.

-----------------

Notice that adding on 2 cm (the slope) gets us to 14+2 = 16 cm which is the height of two cups stacked together. A lot of the 2nd cup's height is part of the 1st cup's height. Only the 2 cm at the top is going to be added.

We could see that if we used x = 2.

\(y = 2x + 12\\\\y = 2*2 + 12\\\\y = 4 + 12\\\\y = 16\\\\\)

That confirms the left-most part of the diagram.

Now try x = 4.

\(y = 2x + 12\\\\y = 2*4 + 12\\\\y = 8 + 12\\\\y = 20\\\\\)

That works as well. It helps confirm we have the correct equation, and also confirms the final answer is correct. Another way to confirm is to either graph or use a table.

If you wanted to find the height of 8 cups, then,

\(y = 2x + 12\\\\y = 2*8 + 12\\\\y = 16 + 12\\\\y = 28\\\\\)

To develop Q-Q plots for the exponential and uniform distributions, we first need to order the data in ascending order: 9, 24, 50, 89.

For the exponential distribution, we use the formula F(x) = 1 - e^(-λx) where λ is the rate parameter. We estimate λ using the sample mean, which is 43. We then compute the expected values of F(x) for each observation: 0.001, 0.16, 0.52, 0.83. We plot these expected values against the ordered data on a Q-Q plot.

For the uniform distribution, we estimate the parameters as a = 9 and b = 89, the minimum and maximum values in the data set. We then compute the expected values of F(x) for each observation using the formula F(x) = (x-a)/(b-a). The expected values for each observation are: 0, 0.167, 0.556, 1.

Looking at the Q-Q plots, we can see that the data points lie closer to the diagonal line for the uniform distribution than the exponential distribution. This suggests that the uniform distribution is a better fit for the data than the exponential distribution.

In summary, based on the Q-Q plots, we can conclude that the uniform distribution appears to be a better fit for the data than the exponential distribution. This may be due to the fact that the data set is relatively small and does not exhibit the exponential decay pattern often seen in larger data sets.

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Answer:

B

Step to Step Explaintion:

The ratio of junior to adult = 6/5

What is proportion?

An equality between two ratios. According to proportion, if 2 sets of given numbers area unit increasing or decreasing within the same quantitative relation, then the ratios area unit aforesaid to be directly proportional to every different.

Main body:

Given - data in the question

To find answer the question

Solution - Let no of junior, children and adults be x, y, z respectively.

Now, ratio of junior to children = 1/3

So, x = 3y

Ratio of children to adult = 5/2

So, 5y = 2z

.(2)

So, from (1) we get, y = x / 3

So, 5x / 3 = 2z

⇒5x = 6z

⇒ x/z=6/5

Hence, the ratio of junior to adult = 6/5

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The expression that is equivalent to the given expression, (64xy^4)^1/2, is  \(8 x^{1/2} y^{2}\)

From the question, we are to determine the expression that is equivalent to the given expression.

The given expression is

(64xy^4)^1/2

First, we will write the expression properly.

The given expression written properly is

\((64xy^{4})^{1/2}\)

Simplifying the expression

\((64xy^{4})^{1/2}\)

Apply the exponent law of indices

\((64^{1/2} \times x^{1/2} \times y^{4 \times {1/2}})\)

\((64^{1/2} \times x^{1/2} \times y^{2})\)

Express 64 as an exponent

\((8^{2})^{1/2}} \times x^{1/2} \times y^{2}\)

\(8 \times x^{1/2} \times y^{2}\)

\(8 x^{1/2} y^{2}\)

Hence, the expression is \(8 x^{1/2} y^{2}\)

Here is the complete question:

Which expression is equivalent to (64xy^4)^1/2

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The point on the number line that is two-fifths of the way from -9 to 17 is 1.4.

To find the point that is two-fifths of the way from -9 to 17 on the number line, we need to calculate the distance between these two points and then determine two-fifths of that distance.

The distance between -9 and 17 can be calculated by subtracting -9 from 17:

Distance = 17 - (-9)

               = 17 + 9

               = 26

Now, we need to find two-fifths of this distance:

Two-fifths of the distance = (2/5) * 26 = (2 * 26) / 5 = 52 / 5 = 10.4

To find the point, we add 10.4 to -9:

Point = -9 + 10.4 = 1.4

Therefore, the point on the number line that is two-fifths of the way from -9 to 17 is 1.4.

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Answer:

21

Step-by-step explanation:

Answer:

c=18

Step-by-step explanation:

180=82+1+43+3c

180-126=3c

54=3c

18=c