What is the product?
1
12
64
2
78
30
6
32
78 30
6
64
78 30
6
32
39
15
6
64
39 30

Answer: 47 students

Step-by-step explanation:

430 students went on a trip with the majority of them going on buses.

7 students however, had to use cars.

The number of students who used buses are:

= 430 - 7

= 423 students

The number of students in each bus is:

= No. of students taking buses / no. of buses

= 423 / 9 buses

= 47 students

Answer:

400 ft.

Step-by-step explanation:

100 - (-300)

= 100 + 300

= 400 ft.

The probability that the sample mean is between 190 lbs and 205 lbs is approximately 0.9617.

The sample mean to lie within 2.83 lbs of the population mean with probability 68%, or in other words, we expect the sample mean to be between 197.17 lbs and 202.83 lbs with probability 68%.

The sample mean weight of 50 baby elephants is a normally distributed variable with a mean of 200 lbs and a standard deviation of \(20/\sqrt{(50)} lbs = 2.83 lbs\)(by the central limit theorem).

The standard normal distribution to calculate the probability that the sample mean is between 190 lbs and 205 lbs:

z1 = (190 - 200) / 2.83 = -3.53

\(z2 = (205 - 200) / 2.83 = 1.77\)

\(P(-3.53 < Z < 1.77) = P(Z < 1.77) - P(Z < -3.53)\)

= 0.9619 - 0.0002

= 0.9617

The interval within which we expect the sample mean to lie within probability 68%, we need to find the values of x that satisfy the following equation:

\(P(\mu - x < X < \mu + x) = 0.68\)

X is the sample mean weight and \(\mu = 200\) lbs.

Using the formula for the standard error of the mean, we can rewrite this equation as:

\(P(-x / (20 / \sqrt{(50)}) < Z < x / (20 / \sqrt{(50)})) = 0.68\)

Z is a standard normal variable.

From the standard normal distribution table, we find that the 68% probability interval is from -1 to 1.

Therefore, we can solve for x as follows:

\(x / (20 / \sqrt{(50)}) = 1\)

\(x = 20 / \sqrt{(50)}\)

\(x \approx 2.83\)

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Answer:

57

Step-by-step explanation:

Replace the variable with the said number

(8 x (2²))+(8 x 2)+9

Simplify

8 x 4 + 8 x 2 + 9

32 + 16 + 9

Solve

32 + 16 + 9 = 57

Answer:44

Step-by-step explanation:

Answer:

x=±8

Step-by-step explanation:

You add 11 on both sides

x^2=53+11

x^2 = 64 so

x=8 or x=-8

The only option that represents the correct repeating decimal is; Option C; 0.35 + 0.0035 + 0.000035

We want to find the option that is equal to the repeating decimal 0.353535.

Option A; 35 + 0.35 + 0.0035

When we add the above, we arrive at 35.3535 which is not equal to 0.353535. Thus, option A is incorrect.

Option B; 0.0035+ 0.000035 + 0.00000035

When we add the above, we arrive at 0.00353535 which is not equal to 0.353535. Thus, option B is incorrect.

Option C; 0.35 + 0.0035 + 0.000035

When we add the above, we arrive at 0.353535 which is not equal to 0.353535. Thus, option C is correct.

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Answer:

1.) C - 0.35+0.0035+0.000035+...

2.) The first term of the geometric series is 0.35.

3.) The common ratio of the geometric series is 0.01

4.) The simplified fractional representation of 0.353535... is 35 / 99

Step-by-step explanation:

Edge

Answer:

I am deeply sorry.

Step-by-step explanation:

I am really sorry about how long it takes you to do "this". My best advice is to take a break and think it out slowly.

Ratio of carnations to all flowers

= 4/13 or 4:13 or 4 carnations to 13 flowers.

A ratio can be defined as the relationship or comparison between two numbers of the same unit to check how bigger is one number than the other one.

Given,

There are 6 roses 8 carnations and 12 tulips

Total flowers = 6 + 8 + 12 = 26

Ratio of carnations to all flowers

= 8/26

= 4/13

or 4:13

or 4 carnations to 13 flowers.

Hence,

4/13 or 4:13 or 4 carnations to 13 flowers

is the ratio of carnations to all flowers.

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the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:

C = {0, 6, 12, 18}

A = {2, 4, 6, 8, 10, 12}

We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.

Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.

Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

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Answer: D. -0.002

Step-by-step explanation: You always do the stuff in parenthesis first (P.E.M.D.A.S.). -1/6 is about -0.167. Next you do -0.167 to the fourth power, which is -0.0007777963. Finally, you multiply that number and 2. And BOOM: you get -0.0015555926, which rounds up to -0.002!

Answer:

1 metre =100centimeter

Calculate the force exerted by each charge on the third charge using the following formula: F = k|q1q2| / r^2, where: F is the force exerted by the charge, k is the Coulomb constant (8.988 × 10^9 N m^2 C^-2) , q1 and q2 are the charges of the two point charges

Here are the detailed steps on how to determine the magnitude and direction of the total force exerted by two point charges on a third charge:

Calculate the force exerted by each charge on the third charge using the following formula: F = k|q1q2| / r^2

where:

In this case, we have:

Add the forces exerted by each charge to find the total force exerted on the third charge.

Ftotal = F1 + F2 = 10.84 N

[Diagram of the three charges, with the force vectors pointing towards the right.]

Therefore, the magnitude of the total force exerted by the two point charges on the third charge is 10.84 N and the direction of the force is to the right.

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You can find the coefficient of variation for your data set using a TI-84 calculator by following the below steps.

To find the coefficient of variation (CV) using a TI-84 calculator, follow these steps:

1. Enter the data set values into a list on your calculator. For example, if your data is stored in the list L1, enter the values into L1.

2. Calculate the mean of the data set using the calculator's statistical functions. Press the [STAT] button and navigate to the "Calc" menu. Choose the appropriate mean function (e.g., "1-Var Stats" or "mean") and select the list that contains your data (e.g., L1).

3. Calculate the standard deviation of the data set using the calculator's statistical functions. Press the [STAT] button, navigate to the "Calc" menu, and choose the appropriate standard deviation function (e.g., "1-Var Stats" or "stdDev"). Select the list containing your data (e.g., L1).

4. Divide the standard deviation by the mean and multiply by 100 to calculate the coefficient of variation. Store the standard deviation and mean values in variables if necessary. Use the formula CV = (stdDev / mean) * 100 to calculate the coefficient of variation.

By following these steps, you can find the coefficient of variation for your data set using a TI-84 calculator.

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To find the coefficient of variation on a TI-84 Plus calculator, enter the dataset into a list, calculate the mean and standard deviation, and then divide the standard deviation by the mean and multiply by 100.

To find the coefficient of variation on a TI-84 Plus calculator, follow these steps:

By following these steps, you can find the coefficient of variation for a dataset using a TI-84 Plus calculator.

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   "

Answer:

1/2 + 1/4 = 2/4 + 1/4 = 3/ 4

first box = 2

last box= 3/4

Answer:

A Benjamin Franklin

B George Washington

C Abraham Lincoln

D John Adams

Answer:

The answer is "\(48 \ cm^2\)"

Step-by-step explanation:

Area of every face:

\(A=bh\\\\\)

   \(=2\times 2\\\\=4 \ cm^2\\\)

count overlaps and times by 2:

So,

\(\to 6 \times 2= 12\)

There are 12 unpainted faces each face is \(4 \ cm^2\\\\\)

\(\to 12 \times 4 \ cm^2\\\\\to 48 \ cm^2\)

Answer:

Slower

Step-by-step explanation:

If 100 cans per 20 minutes continues, it would be 200 cans per 40 minutes, which is more than 160 cans per 40 minutes

Answer:

63 for the whole figure, for the different shaded regions it goes as follows, 17.5 for the white area and 45.5 for the grey area

Step-by-step explanation:

The correct answer is option a. $7,594.46.

To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:

Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate

In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.

Let's calculate the amount you would reduce the amount you owe in the first year:

Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825

Installment = $12,825

Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.

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Answer:

15

option 4 is correct ................

The margin of error would be smaller if the true population size is only 200.

To calculate the margin of error for a given confidence level, we use the formula:

where z is the z-score corresponding to the desired confidence level.

Assuming a population size of 500, a sample size of 36, a sample mean of 50, and a standard deviation of 10, the margin of error for a 95% confidence level can be calculated as:

However, if the true population size is only 200, the margin of error would be smaller because the formula assumes a larger population size. To recalculate the margin of error using the actual population size of 200, we use the formula:

where N is the population size, n is the sample size, and the rest of the variables are the same as before.

Plugging in the values, we get:

Therefore, the margin of error would be smaller if the true population size is only 200.

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The explicit formula to represent the given  situation is

Explicit: pn = 14 + 9*n

Here we want to express the number of pizza delivered. Lets try to understand the case.

If we buy one pizza (p1) the cost is 14 because of the delivery plus 9 for the cost of the pizza. So:

p1 = 14 + 9 = 23

If we buy 2 pizzas (p2) we have to pay 14 for the delivery and 9 for each pizza:

p2 = 14 + 9 + 9 = 14 + 2*9 = 32

If 3 pizzas are bought (p3) the reasoning is the same, 14 for the delivery and 9 for each pizza:

p3 = 14 + 9 + 9 + 9 = 14 + 3*9 = 41

Here we can see a pattern: for any amount of pizzas n the cost will be 14 plus n-times 9, the price of a pizza. It is:

pn = 14 + 9*n

But we can separate the last equation in such a way:

pn = 14 + 9*(n-1) + 9 , as 9*(n-1) + 9 = 9*n

But if our general formula it true, the first to terms on the right are the vost of buying n-1 pizzas, so:

pn = pn-1 + 9

We can keep on separating terms as we did to arrive to this form, this is, separating the 9n in  9*(n-2) + 9*2,  9*(n-3) + 9*3, ...,  9*(n-m) + 9*m for any m < n . Here I will keep pn = pn-1 + 9 as the Recursive Formula, but you could use other formulation with, e.g., pn-2, pn-3, etc, using the above recursion.

Now, the explicit formula is such that gives as the value of any amount, finding all the terms of the sequence with those not depending on previous terms (contrary to the recursive). This formula was showed above and is: pn = 14 + 9*n. This is, given any number of pizzas we can find the cost without knowing the cost of previous values.

So, we have:

Recursive: pn = pn-1 + 9

Explicit: pn = 14 + 9*n

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Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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The factors of the polynomial x^3-9x^2+27x-27 are (x -3), (x - 3) and (x - 3)

The polynomial you provided is x^3-9x^2+27x-27. If you know one of the factors of this polynomial, we can use that to find the remaining factors.

One factor of this polynomial is (x-3) as it gives remainder zero when divided by (x-3)

quotient is  x² - 6x + 9

remainder is zero

So the remaining factors are (x-3) and x² - 6x + 9

Alternatively, we can factor the remaining quadratic polynomial  x² - 6x + 9

by using Factor theorem or by using difference of squares

x² - 6x + 9 = (x - 3)²

So the remaining factors are (x-3) and (x - 3)

So the original polynomial can be factored as (x-3)(x-3)(x-3) = (x-3)³

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the Nash equilibrium is not necessarily the best or most desirable outcome for the players involved. It simply represents a stable state where no player has an incentive to unilaterally deviate from their chosen strategy.

To determine the Nash equilibria in a game, we need to analyze the strategies of each player and identify the combinations of strategies where no player has an incentive to unilaterally deviate.

Given the options:

1. (P1=Shot, P2=Shot)

2. (P1=No shot, P2=No shot)

3. (P1=Shot, P2=No shot)

4. (P1=No shot, P2=Shot)

Let's analyze each combination:

1. (P1=Shot, P2=Shot):

If both players choose to shoot, they both face the risk of being shot and getting injured. Neither player has an incentive to deviate from this strategy, as changing to "No shot" would expose them to the risk of being shot without being able to retaliate. Therefore, (P1=Shot, P2=Shot) is a Nash equilibrium.

2. (P1=No shot, P2=No shot):

If both players choose not to shoot, they avoid the risk of being injured. Again, neither player has an incentive to unilaterally deviate from this strategy, as changing to "Shot" would expose them to the risk of being injured without gaining any advantage. Therefore, (P1=No shot, P2=No shot) is a Nash equilibrium.

3. (P1=Shot, P2=No shot):

If Player 1 chooses to shoot while Player 2 chooses not to shoot, Player 1 has an advantage and can potentially eliminate Player 2 without being injured. In this scenario, Player 2 may have an incentive to deviate from "No shot" and switch to "Shot" to protect themselves. Therefore, (P1=Shot, P2=No shot) is not a Nash equilibrium.

4. (P1=No shot, P2=Shot):

Similarly, if Player 1 chooses not to shoot while Player 2 chooses to shoot, Player 2 has an advantage and can potentially eliminate Player 1 without being injured. In this scenario, Player 1 may have an incentive to deviate from "No shot" and switch to "Shot" to protect themselves. Therefore, (P1=No shot, P2=Shot) is not a Nash equilibrium.

Based on the analysis, the Nash equilibria in this game are:

- (P1=Shot, P2=Shot)

- (P1=No shot, P2=No shot)

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Answer:

12

Step-by-step explanation:

area is base x height. 3×3 is 9. all sides of a square are equal so 3+3+3+3= the perimeter which is 12.

Answer:

12

Step-by-step explanation:

A square having an area of 9 cm² means it’s side lengths must be equal to √9 which is 3 now to find the perimeter we multiply 3 by 4 as a square has 4 sides:

3×4=12

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

The triangles are similar   so

x + 46 + 78 = 180

x = 56°

Answer:

280

Step-by-step explanation:

Answer:

Cassandra 10, Borg 7

Step-by-step explanation:

Let c be Casandra's age and b be Borg's age. We can set the equation c-b=3. We can also set the equation 8c+2b=94. From the first equation we get c=b+3. Substitute this for c to get 8(b+3)+2b=94. Simplify to get 10b+24=94. Subtract then divide to get Borg's age is 7. Then since Cassandra is 3 yrs older than Borg, Cassandra's age is 10