Simplify.


7√3 / 5 - 2√6

The probability of the spinner stopping on an even number or a multiple of 3 is 20/30, which simplifies to 2/3.

To calculate the probability of the spinner stopping on an even number or a multiple of 3, we need to count the number of regions on the wheel that satisfy this condition and divide by the total number of regions on the wheel.

First, let's count the number of regions on the wheel that are even numbers.

There are 15 even numbers between 1 and 30: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, and 30.

Next, let's count the number of regions on the wheel that are multiples of 3.

There are 10 multiples of 3 between 1 and 30: 3, 6, 9, 12, 15, 18, 21, 24, 27, and 30.

However, some regions are both even and multiples of 3 (i.e., 6, 12, 18, 24, and 30), so we need to subtract the number of overlapping regions to avoid double-counting.

This gives us a total of 15 + 10 - 5 = 20 regions that satisfy the condition.

Therefore, the probability of the spinner stopping on an even number or a multiple of 3 is 20/30, which simplifies to 2/3.

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The probability that he selects a dime and then a quarter without replacement is 1/10

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here: John has 8 dimes 5 pennies and 3 quarters.

Total number of coins that John has is =8+5+3

                                                                =16

Thus the probability of picking a dime is P(dime)= 8/16

                                                                                 =1/2

Therefore the conditional probability that John picks a dime and then a quarter is given by

P(dime/quarter)=1/2×3/15  ( As the dime picked is not replaced)

                         =1/10

Hence, the probability that he selects a dime and then a quarter without replacement is 1/10

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Answer:

Step-by-step explanation:

l = (wh)/a(w+p)

wh = la(w+p)

w = (la(w+p))/h

The volume of the layered cake is 16 cubic inches

From the question, we have the following parameters that can be used in our computation:

Layers = 2

Length of each layer = 2 inches

Using the above as a guide, we have the following:

Dimension = 2 inches by 2 inches by 2 * 2 inches

The volume of the layered cake can be calculated as

Volume = Product of dimensions

substitute the known values in the above equation, so, we have the following representation

Volume = 2 * 2 * 2 * 2

Evaluate

Volume = 16 cubic inches

Hence, the volume of the layered cake is 16 cubic inches

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Answer:

Step-by-step explanation:

I’m not too good with this but the answer should be 87.5

Answer:

82 degrees.

Step-by-step explanation:

Hope this helps!

Answer:

41r6

Step-by-step explanation:

you dived 125 by 3

Answer:

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Step-by-step explanation:

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The rate of change at which the temperature increases is 4.5° per hour.

The rate at which the temperature changes is equal to the quotient between the change in temperature and the time in which that change happens.

The change in temperature is:

93° - 84° = 9°

It happens between 3:00pm and 5:00 pm, so that change happens in two hours, then the rate of change of the temperature is:

r = 9°/2h = 4.5° per hour.

The temperature increases 4.5° per hour.

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Given equation g = x-1/k in terms of x would be x = 1 + gk

for given question,

we have been given an equation g = x-1/k

Dyani began solving the equation g = x-1/k for x by using the addition property of equality.

We solve given equation for x.

⇒ g = x-1/k                      ..........(Given)

⇒ gk = (x - 1/k)k               .........(Multiply both the sides by k)

⇒ gk = x - 1

⇒ gk + 1 = x - 1 + 1           .........(Add 1 to each side)

⇒ gk + 1 = x

⇒ x = 1 + gk

Therefore, given equation g = x-1/k in terms of x would be x = 1 + gk

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Answer: (x+2)

Step-by-step explanation:

The factor of the polynomial expression is "(x+2)".

\(\to x^3+2x^2-9x-18\)

factor=?

\(\to x^3+2x^2-9x-18=0\\\\\to x^2(x+2)-9(x-2)=0\\\\\to (x+2)(x^2-9)=0\\\\\to (x+2)(x^2-3^2)=0\\\\\to (x+2)(x-3)(x+3)=0\\\\\)

Therefore, the answer is "\((x+2)\)".

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With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

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The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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The first runner covers 30 yards in 4 seconds, a speed of 5 yards per second. The second runner covers a distance of 20 yards in 4 seconds but starts 10 yards ahead. Both runners have a speed of 5 yards per second.

The first runner maintains a constant speed of 5 yards per second and covers a distance of 30 yards in 4 seconds. The second runner also has a speed of 5 yards per second but starts 10 yards ahead. Therefore, the second runner covers a shorter distance of 20 yards in the same 4 seconds.

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Answer:

2 is the answer thanks pls give brainliest

Answer: 6x

Step-by-step explanation:

so consider x as the number,

twice of x= 2x

2x tripled= 2x*3

               = (2*3)x

               = 6x

Answer:

Step-by-step explanation:

This is a geometric means problem. Namely, n is the geometric mean between the 2 smaller triangles within that larger one. Set up the problem accordingly:

\(\frac{28}{n}=\frac{n}{7}\) and cross multiply:

\(n^2=196\) so

n = 14

Answer:

No she should add extra lengths

Step-by-step explanation:

The difference between scaled copy  and jada drawing is that it is in the ratio

8:4

2:1

that is the scaled copy is twice as large as the jada drawing itself.

So every dimension is doubled or made twice as large as the initial measurement. Andre should not add 4 units to all sides instead the drawing is made twice as large . It will serve the same purpose of enlarging the drawing while maintaining its shape. If extra mesurements are added the drawing will be changed.

To find the interior of Y

Y = 180 - 135

Y = 45

The interior of Z is 49 because the angles are mirrored to each other

then, to find x,

X = 180 - 45 - 49

X = 86

so your answer should be 86.

Answer:

5

Step-by-step explanation:

18-13=5

Answer:

5 more then he did before unluss your adding both 18+13=31

Step-by-step explanation:

Answer:

You can't answer this question without knowing the total amount of money they all had in total.

Answer:

I think the correct answer is B

A line plot takes a frequency table and plots each occurrence of a data point on a number line.

Frequency directs to the number of times an event or a value appears. A frequency table exists a table that details items and depict the number of times the items occur.

A line plot takes a frequency table and plots each occurrence of a data point on a number line.

Therefore, the correct answer is option B. frequency table.

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Answer:

Linear inches

Step-by-step explanation:

or really, any linear dimension – simply refer to the sum total of your bag's length, width and depth.

Answer:

These are based on the main compartment inside the suitcase and are measured in liters with an average capacity of 20 liters, whilst most large cases have an average capacity of 100 liters.

Step-by-step explanation:Brainliest

Answer:

The answer is x = 4

Step-by-step explanation:

1. First you need to distribute the 3/4 * (x + 8). This looks like (3/4) * (x) + (3/4) * (8) = 9

2. Next you simplify the distributed equation, 3/4x + 6 = 9

3. Now subtract 6 from both sides, 3/4x = 3

4. Multiply both sides by 4/3, 4/x * 3/4x = 3 * 4/3

5. Simplify, x = 4

Answer: 75%

Step-by-step explanation:

common sense

Answer:

Step-by-step explanation:

If x varies directly as y and inversely as z, then we can write:

x = k * (y / z)

where k is a constant of proportionality.

We can find the value of k by substituting the given values of x, y, and z:

3 = k * (4 / 8)

Simplifying the right-hand side:

3 = k * 0.5

k = 6

Now we can use this value of k to find x when y is 3 and z is 2:

x = 6 * (3 / 2)

x = 9

Therefore, when y is 3 and z is 2, x is equal to 9.

Answer:

Do reciprocal of that and diameter formula and when your answer will come me just do square multiple of that

Answer:

\(4,060\)

Step-by-step explanation:

\(\binom{30}{3}=\boxed{4060}\)

There are 30 teachers for the principal to choose from initially. After the principal chooses one, there will be 29, 28, 27, and so on.

Since the principal is only choosing 3, there are \(30\cdot 29\cdot 28=24,360\) permutations. However, the order of which the principal chooses the teachers does not matter. In other words, without loss of generality, let the name of three of the teachers be Adam, Bernie, and Carla. Regardless of whether the principal chooses Adam then Bernie then Carla or Carla then Adam then Bernie, etcetera, the same three teachers are still being chosen.

Thus, we must divide by the number of ways you can rearrange three distinct teachers, which is \(3!\).

Therefore, the desired answer is \(\frac{24360}{3!}=\frac{24360}{6}=\boxed{4,060}\)