Peter can run 10 kilometers in 2 hours at a steady rate how long will it take him to run 30 kilometers

 // 4

   public Clock(int hours, boolean isTicking, int diff) {

       this.hours = hours;

       this.isTicking = isTicking;

       this.diff = diff;

   }

}

class Clock {

   private int hours;

   private boolean isTicking;

   private int diff;

   // 4

   public Clock(int hours, boolean isTicking, int diff) {

       this.hours = hours;

       this.isTicking = isTicking;

       this.diff = diff;

   }

}

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l= 4.2 m = 4.2 * 100 = 420 cm

b = 1.4 m = 1.4*100 = 140 cm

h =1.2 m =1.2 *100 =120 cm

Volume of cuboid = l*b*h =  420 * 140 * 120  = 705600 cubic cm

Volume of cube = a*a*a = 20*20*20 = 8000 cubic cm

No.of cubes = Volume of cuboid / volume of cube

      = 705600 / 8000 = 882 cubes

or  420*140*120 / 20*20*20 = 42*14*12/2*2*2 = 21*7*6 = 882 cubes

Answer:

A. -386

Step-by-step explanation:

The approximate residual value for year 4 is that

graph down below:

Answer:42

Step-by-step explanation:

Hence inverse of the function h is

h⁻¹ :x→  2/(x-1)  -1

An inverse function is a function that "undoes" the action of another function. In other words, if a function f(x) takes an input x and produces an output y, then its inverse function, denoted as f⁻¹(y) or sometimes as g(y), takes the output y and produces the input x such that f(x) = y.

 A function is a rule that associates each element of a set (called the domain) with a unique element of another set (called the range or codomain).

Given function

f(x)=1+1/x for x>0

g(x)=(x+1)/2  for x>0

Given: h=fg

h=f(g(x))

h=1+1/(x+1)/2

Now, taking the inverse of the function h,

h=1+1/(x+1)/2

h-1=1/(x+1)/2

1/(h-1)=(x+1)/2

2/(h-1)=x+1

x=2/(h-1) -1

Hence inverse of the function h is

h⁻¹:x→ 2/(x-1) -1

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The correct phrase commonly used to word conditional probabilities is "given that." This phrase explicitly indicates the condition or event on which the probability calculation is based and emphasizes the dependence between events in the probability calculation.

Let's discuss each option in detail to understand why the correct phrase is "given that" when wording conditional probabilities.

"Dependent": The term "dependent" refers to the relationship between events, indicating that the occurrence of one event affects the probability of another event. While dependence is a characteristic of conditional probabilities, it is not the specific wording used to express the conditionality.

"Given that": This phrase explicitly states that the probability is being calculated based on a specific condition or event being true. It is commonly used to introduce the condition in conditional probabilities. For example, "What is the probability of event A given that event B has already occurred?" The phrase "given that" emphasizes that the probability of event A is being evaluated with the assumption that event B has already happened.

"Either/or": The phrase "either/or" generally refers to situations where only one of the two events can occur, but it does not convey the conditional nature of probabilities. It is often used to express mutually exclusive events, where the occurrence of one event excludes the possibility of the other. However, it does not provide the specific condition on which the probability calculation is based.

"Mutually exclusive": "Mutually exclusive" refers to events that cannot occur simultaneously. While mutually exclusive events are important in probability theory, they do not capture the conditionality aspect of conditional probabilities. The term implies that if one event happens, the other cannot occur, but it does not explicitly indicate the specific condition on which the probability calculation is based.

In summary, the correct phrase commonly used to word conditional probabilities is "given that." It effectively introduces the condition or event on which the probability calculation is based and highlights the dependency between events in the probability calculation.

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Answer:

You have a 1/7 chance of getting a blue.

I'd expect 5th time maybe.

Its just a guess btw.

Answer:

40

Step-by-step explanation:

total: 56+80+40+24 = 200

(80x100)/200

Answer:

What you first want to do is see what all of the numver of students add up to:

80 + 40 = 120

120 + 24 = 144

144 + 56 = 200

So there are a total of 200 votes. 40 of the 200 vote mystery, so you need to find how many times 40 will go into 200. To find this you can just divide.

200/40 = 5

5% prefer mystery books!

Step-by-step explanation:

Hope it helps! =D

I think I did the math wrong, but just by looking Im pretty sure its 5%

11. The area difference between them is 96 square units (192 - 96).

12. The trough stands 4 feet tall.

11. The area of Figure A is 96 square units (12 x 8) and the area of Figure B is 192 square units (16 x 12). The difference in their areas is 96 square units (192 - 96).

12. Let the height of the trough be h. The volume of the trough is given by the formula:

Volume = base area x height

Substituting the given values:

96 = 24h

Dividing both sides by 24:

h = 4

Therefore, the trough is 4 feet tall.

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Answer:

45cm

Step-by-step explanation:

Answer:

45

explain answer here:

well i just took the test..... love ya !!

hope u get a good grade !!

Answer:

DOC = 70

BOC = 110

AOD = 110

Step-by-step explanation:

AOB is supplementary to BOC and AOD, which means together they equal 180. 180-70=110, so BOC and AOD are both 110.

AOB and DOC are vertical angles to each other, so are AOD and BOC. Vertical angles are always equal to each other. So since AOB is 70, so is DOC.

Hope this makes sense:)

4x - 5y = -9

-4x + y = -7

Step 1

Eliminate variable x

Different sign eliminate x and add.

-5y + y = -9 + (-7)

- 4y = -9 - 7

- 4y = -16

y = -16/-4

y = 4

Step 2

Substitute y in any equation and find x.

-4x + y = -7

-4x + 4 = -7

-4x = -7 - 4

-4x = -11

x = -11/-4

x = 11/4

X = 11/4 Y = 4

Neither X nor Y can be well-approximated by a normal random variable, the proportion of exams with passing scores is .7734, the exam score for an exam whose z-score is 1.25 is 85 and if the top 4% of the exams will be given an A+, in order to be given an A+, an exam must earn at least 89 score.

Question 1: Neither X nor Y can be well-approximated by a normal random variable. This is because both X and Y are discrete random variables, meaning they can only take on integer values. Normal random variables, on the other hand, are continuous and can take on any value within a certain range.

Therefore, neither X nor Y can be well-approximated by a normal random variable.

Question 2: The proportion of exams with passing scores is .7734. This can be found by calculating the z-score for a score of 69 and using a z-table to find the corresponding proportion. The z-score is (69-75)/8 = -0.75. Using a z-table, we find that the proportion of exams with scores less than 69 is .2266.

Therefore, the proportion of exams with passing scores is 1-.2266 = .7734.

Question 3: The exam score for an exam whose z-score is 1.25 is 85. This can be found by using the formula for z-scores: z = (x-µ)/σ. Plugging in the values for z, µ, and σ, we get 1.25 = (x-75)/8.

Solving for x, we get x = 85.

Question 4: In order to be given an A+, an exam must earn at least a score of 89. This can be found by using the formula for z-scores and a z-table. We know that the top 4% of exams will be given an A+, so we need to find the z-score that corresponds to the top 4%. Using a z-table, we find that this z-score is 1.75.

Plugging this into the formula for z-scores, we get 1.75 = (x-75)/8. Solving for x, we get x = 89.

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When Susan and Jessica play a card game, Susan wins 60% of the time. If they play 9 games, the probability that Jessica will have won more games than Susan is 0.391 or 39.1%.

Explanation:The probability that Susan wins is 0.60. So, the probability that Jessica wins is 1 - 0.60 = 0.40.

Therefore, if they play 9 games, the probability that Jessica will have won more games than Susan is as follows:P(Jessica wins 5 or 6 or 7 or 8 or 9 games) = P(Jessica wins 5 games) + P(Jessica wins 6 games) + P(Jessica wins 7 games) + P(Jessica wins 8 games) + P(Jessica wins 9 games)

We will use the binomial probability distribution formula to calculate each of these probabilities'(X=k) = C(n, k)pk(1-p)n-k

where C(n, k) is the number of combinations of n things taken k at a time, p is the probability of success, and n is the number of trials. For example, C(9, 5) = 126 because there are 126 ways to choose 5 games out of 9.

We can use the binomial probability distribution formula to calculate P(Jessica wins 5 games) as follows:P(Jessica wins 5 games) = C(9, 5) (0.40)5 (0.60)4 = 0.0885P(Jessica wins 6 games) = C(9, 6) (0.40)6 (0.60)3 = 0.1387P(Jessica wins 7 games) = C(9, 7) (0.40)7 (0.60)2 = 0.1792P(Jessica wins 8 games) = C(9, 8) (0.40)8 (0.60)1 = 0.1451P(Jessica wins 9 games) = C(9, 9) (0.40)9 (0.60)0 = 0.0197P(Jessica wins more games than Susan) = 0.0885 + 0.1387 + 0.1792 + 0.1451 + 0.0197 = 0.5712P(Jessica wins more games than Susan) = 0.5712

Therefore, the probability that Jessica will have won more games than Susan is 0.5712 or 57.12%.

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As per the given data, r'(t) · r''(t) = \(108e^{(2t)} - 72e^{(-2t)} + 72te^{(2t)\).

To discover t(zero), we want to alternative 0 for t inside the given feature r(t). This offers us:

\(r(0) = 3e^{(2(0)}), 3e^{(-2(0)}), 3(0)e^{(2(0)})\\\\= 3e^0, 3e^0, 0\\\\= 3(1), 3(1), 0\\\\= 3, 3, 0\)

Therefore, t(0) = (3, 3, 0).

To find r''(0), we need to locate the second one derivative of the given feature r(t). Taking the by-product two times, we get:

\(r''(t) = (3e^{(2t)})'', (3e^{(-2t)})'', (3te^{(2t)})''= 12e^{(2t)}, 12e^{(-2t)}, 12te^{(2t)} + 12e^{(2t)}\)

Substituting 0 for t in r''(t), we have:

\(r''(0) = 12e^{(2(0)}), 12e^{(-2(0)}), 12(0)e^{(2(0)}) + 12e^{(2(0)})\\\\= 12e^0, 12e^0, 12(0)e^0 + 12e^0\\\\= 12(1), 12(1), 0 + 12(1)\\\\= 12, 12, 12\)

Therefore, r''(0) = (12, 12, 12).

Finally, to discover r'(t) · r''(t), we need to calculate the dot made of the first derivative of r(t) and the second spinoff r''(t). The first spinoff of r(t) is given by using:

\(r'(t) = (3e^{(2t)})', (3e^{(-2t)})', (3te^{(2t)})'\\\\= 6e^{(2t)}, -6e^{(-2t)}, 3e^{(2t)} + 6te^{(2t)\)

\(r'(t) · r''(t) = (6e^{(2t)}, -6e^{(-2t)}, 3e^{(2t)} + 6te^{(2t)}) · (12, 12, 12)\\\\= 6e^{(2t)} * 12 + (-6e^{(-2t)}) * 12 + (3e^{(2t)} + 6te^{(2t)}) * 12\\\\= 72e^{(2t)} - 72e^{(-2t)} + 36e^{(2t)} + 72te^{(2t)\)

Thus, r'(t) · r''(t) = \(108e^{(2t)} - 72e^{(-2t)} + 72te^{(2t)\).

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The IQR for Player A is larger than the IQR for Player B, we can conclude that Player A is more consistent.

Consistent means being the same or similar in quality, value, or state over time. It refers to something that has been regular, unchanging, and reliable. Consistency is important in many aspects of life, from personal relationships to business operations. Consistency can be seen in behavior, attitude, performance, and results.

The measure of variability that would be best to determine which player was more consistent would be the interquartile range (IQR). We can calculate the IQR for each player by subtracting the third quartile (Q3) from the first quartile (Q1).
For Player A, the Q3 is 5 and the Q1 is 1, so the IQR is 5 - 1 = 4.
For Player B, the Q3 is 4 and the Q1 is 1, so the IQR is 4 - 1 = 3.
Since the IQR for Player A is larger than the IQR for Player B, we can conclude that Player A is more consistent.

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The value of x in the solution to this system of equations y + 2x = -1 and y=x+4 is 3.

The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients. To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

Given,

Equations:

y + 2x = -1

y = x + 4

y - x = 4

Using elimination method,

y + 2x = -1

y - x = 4

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

x = 3

The value of x in the solution to this system of equations y + 2x = -1 and y=x+4 is 3.

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Answer:

50

Step-by-step explanation:

Since it's given that these are similar triangles then the measure of angles are equal

2y - 40 = y + 10 transfer like terms to the same side of equation

2y - y = 10 + 40 do the calculation (notice how the terms changes sign from + to - and from - to + when they are transferred)

y = 50

The midpoint of the given line segment with the given endpoints

(-3, 8) and (2, -4) is (-0.5, 2)

The formula for calculating the midpoint of coordinate is expressed as;

M(x, y) = (x₁+x₂/2, y₁+y₋/2 )

Given the coordinate points( -3, 8) and (2, -4)

Substitute

M(x, y) = (-3+2/2, 8-4/2)

M(x, y)= (-1/2, 4/2)

M(x, y) =(-0.5, 2)

Hence the midpoint of the given line segment with the given endpoints

(-3, 8) and (2, -4) is (-0.5, 2)

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Answer;

71.43%

Explanation:

Given

Total pizza = 7 pizzas

Amount of pizza Oriah ate = 5 pizzas

percentage of the amount ate = Amount ate/Total pizza * 100

percentage of the amount ate = 5/7 * 100

percentage of the amount ate = 500/7

percentage of the amount ate = 71.43%

Hence the percentage Orian ate is 71.43%

The surface area and volume of the rectangular prism are equal to 216 square units and 216 cubic units, respectively.

Despite the brevity of the statement, we can find the answer by considering the rectangular prism as a cube, that is, every side has a measure of 6 units. The volume is equal to the product of the base area and the height of the prism and the surface area is equal to the sum of the areas of the six faces:

V = 6³

V = 216

A = 6 · 6²

A = 6³

A = 216

The surface area and volume of the rectangular prism are equal to 216 square units and 216 cubic units, respectively.

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Answer:

yes, It's  a right triangle.

Step-by-step explanation:

First, lets convert the 4 feet into inches. You get 48 inches. 48 squared plus 55 squared equals 5329 which is equal to 73^2.

Find H

\(\\ \rm\rightarrowtail H^2=36^2+15^2\)

\(\\ \rm\rightarrowtail H^2=39^2\)

\(\\ \rm\rightarrowtail H=39\)

Now

\(\\ \rm\rightarrowtail sinR=\dfrac{P}{H}=\dfrac{15}{39}=\dfrac{5}{13}\)

\(\\ \rm\rightarrowtail cosR=\dfrac{B}{H}=\dfrac{36}{39}=\dfrac{12}{13}\)

\(\\ \rm\rightarrowtail tanR=\dfrac{P}{B}=\dfrac{5}{12}\)

\(\\ \rm\rightarrowtail sinT=\dfrac{36}{39}=\dfrac{12}{13}\)

\(\\ \rm\rightarrowtail cosT=\dfrac{5}{13}\)

\(\\ \rm\rightarrowtail tanT=\dfrac{12}{5}\)

Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

If a tractor with a 24-inch diameter wheel travels 4 miles, the wheel will make approximately 211,200 revolutions.

To calculate the number of wheel revolutions, we need to determine the distance covered by each revolution of the wheel and then divide the total distance traveled by the tractor by that distance. The circumference of a circle is calculated by multiplying its diameter by π (pi), which is approximately 3.14159. In this case, the diameter of the wheel is 24 inches, so its circumference would be 24 × 3.14159 = 75.398 inches.

Next, we need to convert the distance traveled by the tractor from miles to inches. Since 1 mile is equal to 63,360 inches (12 inches in a foot and 5,280 feet in a mile), we can calculate that 4 miles would be equal to 253,440 inches.

To find the number of revolutions, we divide the total distance traveled by the circumference of the wheel: 253,440 inches ÷ 75.398 inches per revolution = approximately 3,360 revolutions. Therefore, the wheel on the tractor would make approximately 3,360 revolutions if the tractor travels 4 miles.

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VY is approximately 16.90.

To find VY, we can use the law of sines in triangle UYV.

The law of sines states that for any triangle with sides a, b, and c, and opposite angles A, B, and C, the following relationship holds:

a/sin(A) = b/sin(B) = c/sin(C)

In our triangle UYV, we have the following information:

UY = 11 (given)

m(UX) = 80.6° (given)

YZ = 17 (given)

We need to find VY.

Let's label the angle at V as angle VYU (m(VYU)).

We know that the sum of the angles in a triangle is 180°, so we can find m(VYU) as follows:

m(VYU) = 180° - m(UX) - m(UYV)

= 180° - 80.6° - 90°

= 9.4°

Now, applying the law of sines:

VY/sin(9.4°) = UY/sin(90°) [Angle UYV is a right angle]

= 11

To find VY, we can rearrange the equation:

VY = sin(9.4°) × 11 / sin(90°)

Using a calculator, we find:

VY ≈ 1.536 × 11 / 1

≈ 16.896

Rounded to the nearest hundredth:

VY ≈ 16.90

Therefore, VY is approximately 16.90.

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In a dataset or graph, outliers are extreme values that greatly deviate from the dominant pattern of values.

In order to identify the outlier, search for a value that is significantly greater or smaller than all the other values. Due to its extreme size compared to all other numbers, the number 267 is an outlier.

a value that "lies outside" (i.e., is significantly smaller or substantially bigger) most of the other values in a set of data For instance, both 3 and 85 in the scores 25, 29, 3, 32, 85, 33, 27 and 28 are "outliers".

A data point that is an outlier in a data graph or dataset you are dealing with is one that is extraordinarily high or extraordinarily low in comparison to the nearest data point and the rest of the nearby coexisting values. Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.

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