My teenage son consumed 8 donuts in one sitting. 8 donuts is ....(a)a lower bound on how many donuts he can eat in one sitting.(b)an upper bound on how many donuts he can eat in one sitting.(c)the exact number of donuts that he can eat in one sitting.(d)none of the other answers is correct.

Answer:

see below

Step-by-step explanation:

4a - 3 - 2a

Combine like terms

4a-2a  -3

2a -3

3 - 2a + 7

Combine like terms

-2a +3+7

-2a +10

Answer:

Kappa

Step-by-step explanation:

Mochi weighed 1 pound when he was born, and Kappa weighed 2 pounds when he was born. Therefore, Kappa is the answer.

Answer: kappa

Step-by-step explanation: the chart goes

0, 2, 4, 6, 8...etc it goes by two’s.

Answer:

x = 10\(\sqrt{3}\), y = 10

Step-by-step explanation:

Using the sine/ cosine ratios in the right triangle and the exact values

sin60° = \(\frac{\sqrt{3} }{2}\) , cos60° = \(\frac{1}{2}\) , then

sin60° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{20}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2x = 20\(\sqrt{3}\) ( divide both sides by 2 )

x = 10\(\sqrt{3}\)

and

cos60° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{y}{20}\) = \(\frac{1}{2}\) ( cross- multiply )

2y = 20 ( divide both sides by 2 )

y = 10

The upper bound is 1842 and lower bound is 1692. By using these boundaries and t-table, the sample mean is 1767 and sample standard deviation = 133.98.

Here, the two boundaries are 1692 and 1842.

Mean = (1692+1842) /2 = 1767

Here the degree of freedom, df = (n-1) = 25-1 =24

Margin of error = (1842-1692)/2 = 75

Confidence level = 99%

From the t table, value of T with confidence level 99% and df= 24 is 2.80

The equation for margin of error is M = Ts/√n

            M= 75 , T= 2.80, n =25

75 = (2.80 × s) / √25

75 = 2.80s/ 5

s = (75×5)/2.80 = 133.928 = 133.93

So the sample mean is 1767 and the standard deviation is 133.93.

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the probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.0564 rounded to three decimal places. The final answer is 0.056.

The problem given can be solved by using the central limit theorem.

According to the central limit theorem, if the sample size is sufficiently large, then the sample mean will follow a normal distribution with a mean of μ and a standard deviation of σ/√n, where n is the sample size.Using this formula, we can find the probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years. The formula is:

P(Z < (X-μ)/(σ/√n))

where Z is the standard normal distribution, X is the value we want to find the probability for, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case, X = 21.8, μ = 22, σ = 2, and n = 100. Plugging these values into the formula, we get:

P(Z < (21.8-22)/(2/√100)) = P(Z < -1.58)

Using Excel or a standard normal distribution table, we can find that the probability of Z being less than -1.58 is 0.0564.

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Improper integral converges and its value is 2.

We can use the integration by parts formula:

∫u dv = uv - ∫v du

where u = x^2 and dv = e^(-x) dx. Then we have

∫\(x^2 e^{-x} dx = -x^2 e^{-x} - 2x e^{-x} - 2 e^{-x} + C\)

To evaluate the integral from 0 to infinity, we take the limit as b approaches infinity of the definite integral from 0 to b:

∫_0^∞ \(x^2 e^{-x}\) dx = lim┬(b→∞)⁡〖∫_\(0^b x^2 e^{-x} dx\)〗

= lim┬(b→∞)\([-b^2 e^{-b} - 2b e^{-b} - 2 e^{-b} + 2]\)

Since \(e^{-b}\) approaches 0 as b approaches infinity, we have

lim┬(b→∞)⁡\([-b^2 e^{-b} - 2b e^{-b} - 2 e^{-b} + 2] = 2\)

Therefore, the improper integral converges and its value is 2.

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Answer:

5,600 g of flour

10,000g of sugar

3,200g of ginger

4,400g of butter

Just have to multiply each ingredient by 40

Answer:

1/4 of a dollar

Step-by-step explanation:

25x4=100

Answer:

25 dollars fo sho

Step-by-step explanation:

Answer:

-0.67

Step-by-step explanation:

formula for z-score is:

z = (x - υ) /σ

where x is the observed value (100), υ is the mean (110) and σ is the standard deviation (15).

z = (100 - 110) /15

= -10/15

= -2/3

= -0.67

Answer:

Sure!

Step-by-step explanation:

Answer: 95 percent confidence interval

Step-by-step explanation: "you have a 5 percent chance of being wrong. with a 90 percent confidence interval, you have a 10 percent chance of being wrong a 99 percent confidence interval would be wider than a 95 percent confidence interval for example plus or minus 4.5 percent instead of 3.5 percent"

The total amount she will have in her account at the end of 7 years would be $580.80.

What is simple interest?

Simple interest is calculated on the loan principal or the first deposit into a savings account. Because simple interest does not compound, a creditor will only pay interest on the principal amount, and a borrower will never be required to pay more interest on the previously accumulated interest.

The simple interest can be calculated by using the formula,

A = P(1 + rt)

Where,

A = Total Amount

P = Principal Amount

r = Rate of Interest per year in decimal

t = Time Period involved in months or years

Given data:

P = $480, r = 3%, t = 7 years, A = ?

Putting these values in the simple interest formula, we get

            A = 480 × (1 + 0.03 × 7)

            A = 590.80$

Hence, The total amount she will have in her account at the end of 7 years would be $580.80.

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If the confidence level were increased to 99%, the width of the confidence interval increases, when decreased to 80%, the width of the confidence interval decreases.

A confidence interval provides a range of estimated values for a population parameter's real value. A confidence level is connected to confidence intervals. The width of the confidence interval grows as the confidence level increases. The width of the confidence interval reduces as the confidence level goes down.

Since the margin of error grows as the confidence level does as well, the confidence interval will be bigger. Hence it increases for 99% and decreases for 80%.

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Assumption 1: \(\triangle ABE \sim \triangle ACD/tex]

\(\frac{x}{10}=\frac{3}{15} \implies x=2\)

Assumption 2: \(\triangle ABE \sim \triangle ADC\)

\(\frac{x}{15}=\frac{3}{10} \implies x=4.5\)

Answer:

6+8÷2×4

6+16

=22

Step-by-step explanation:

add the numbers

calculate the new expression

add the numbers

Answer: hint use pemdas

Step-by-step explanation:

To determine the probability that Alice will flip more heads than Bob, we can use the concept of binomial probability.

Let's consider the number of heads flipped by Alice as a random variable X, which follows a binomial distribution with parameters n = 1201 (number of trials) and p = 0.5 (probability of getting a head on a fair coin). Similarly, the number of heads flipped by Bob can be represented as a random variable Y, which follows a binomial distribution with parameters n = 1200 and p = 0.5.

To calculate the probability that Alice will flip more heads than Bob, we need to find P(X > Y). This can be done by summing up the probabilities of all possible values of X that are greater than the corresponding values of Y.

P(X > Y) = P(X = 1201) + P(X = 1200) + ... + P(X = 1200 - 1200)

We can simplify this expression by noticing that P(X = k) = P(Y = k) for any given value of k.

Therefore, P(X > Y) = P(X = 1201) + P(X = 1200) + ... + P(X = 601)

Using the binomial probability formula, the probability of getting exactly k heads out of n trials is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where C(n, k) represents the number of ways to choose k successes out of n trials, given by the binomial coefficient formula:

C(n, k) = n! / (k! * (n - k)!)

Now we can calculate the probability:

P(X > Y) = P(X = 1201) + P(X = 1200) + ... + P(X = 601)

        = [C(1201, 1201) * 0.5^1201 * 0.5^0] + [C(1201, 1200) * 0.5^1200 * 0.5^1] + ... + [C(1201, 601) * 0.5^601 * 0.5^600]

This calculation involves summing up a large number of terms, so it can be computationally intensive. However, we can approximate the probability by using methods such as Monte Carlo simulation or statistical software.

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Answer:

X+6+x=3x-3

2x+6=3x-3

6+3=3x-2x

9=x

Step-by-step explanation:

The area of the triangle xyz is 33.941...

To calculate area of triangle, we need to take the base and height's measurement.

Formula- 1/2 x Base x Height

However, Area may also be calculated when we know the 3 sides of the triangle.

It is known as "Heron's Formula"

Simply use this 2 step process :

Step 1-

Calculate "S" (which is half of the triangle's perimeter)

S = (side1 + side2 + side3) / 2

Naming the sides as a b and c respectively.

4 inches = a

5 inches = b

7 inches = c

 S = ( a + b + c ) / 2

S = ( 4 + 5 + 7 ) / 2

S = 16/2

S = 8

Step 2: Calculating the area of the triangle XYZ

Formula:

Area ( A ) = √S(S−a)(S−b)(S−c)

put the values and you will get the answer.

A = √8(8−4)(8−5)(8−7)

A = 33.941..

The area of the triangle xyz is 33.941...

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Answer:

14 square inches

Step-by-step explanation:

Area of triangle = (h.b)/2

The height and base aren't specified, and no pic is provided

So I'll assume that the height is 4 and base is 7 ( or the opposite)

Area = (4.7)/2

= 14 square inches

If the height is 5 and base 7 ( or the opposite)

Area = (5.7)/2

= 17.5 square inches

If the height is 4 and base is 5 ( or the opposite)

Area= (4.5)/2

= 10 square inches

Answer:

7.2

Step-by-step explanation:

(6)^2 + (4)^2

36 + 16

52

square root of 52 = 7.2

Answer:

B) 1225

Step-by-step explanation:

We know

Javier is on a diet where he cannot consume more than 1800 calories a day.

Before his last meal, he had consumed 1150 calories but burnt half of the calories.

1150 / 2 = 575 calories

So, before the last meal, he had consumed 575 calories.

How many calories can Javier consume without exceeding his limit?

1800 - 575 = 1225 calories

So, the answer is B) 1225

Answer:

6(x+2y)

Step-by-step explanation:

Answer:

Rs 5200

Step-by-step explanation:

if the length of the painting is 40 cm and its breath is 25 cm . The cost of border putting in border is Rs 40 per m . Cost of the border = Perimeter of the rectangle × Cost of border per meter . Therefore the cost of putting the border in the painting is Rs 5200 .

The 20th digit of p after the decimal point is 0 because the probability of guessing the password correctly after 20 tries is a very small value.

Since the password is 1 digit long initially and each incorrect guess increases its length by 1 digit, the number of possible passwords for each length is 9 (from 1 to 9). The probability of guessing the correct password on the first try is 1/9. If the guess is incorrect, the password length increases to 2 digits, and the probability of guessing correctly on the second try is 1/90 (1/10 for the leading digit and 1/9 for the second digit). Similarly, for each subsequent guess, the probability of guessing correctly decreases by a factor of 10 because there is one more digit to guess.

Therefore, the probability distribution can be represented as a geometric series with a common ratio of 1/10. The probability of guessing correctly on the nth try is given by the formula p_n = (1/9) * (1/10)^(n-1).

To find the 20th digit of p after the decimal point, we need to calculate p_20. Substituting the values into the formula, we have p_20 = (1/9) * (1/10)^(20-1) = (1/9) * (1/10)^19.

The expression (1/10)^19 is a very small value, and when multiplied by 1/9, the result is even smaller. As a result, the 20th digit of p after the decimal point is 0.

In summary, the 20th digit of p after the decimal point is 0 because the probability of guessing the password correctly after 20 tries is a very small value.

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Without knowing the actual scores of Jazz from the new game, it is impossible to determine the outlier of the set or if the mean would increase or decrease by removing it.

In general, an outlier is defined as a data point that is significantly different from other data points in the same set. The determination of an outlier depends on the specific context and the method used for detecting it. Common methods include using the interquartile range, z-score, or visual inspection of a boxplot.

Regarding the effect of an outlier on the mean, it depends on the magnitude and direction of the deviation of the outlier from the rest of the data. If the outlier has a large deviation from the rest of the data, it can significantly affect the mean and cause it to increase or decrease, depending on the direction of the deviation. On the other hand, if the outlier has a small deviation from the rest of the data, it may not have a significant effect on the mean.

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Answer: 360 miles hope this helps :D

Step-by-step explanation: 30/4=  1 mile every 7.5 min

7.5min times 48 equals 360 miles

Answer:

61.25 dollars

Step-by-step explanation:

We can use a ratio to solve

4 yards            7 yards

--------------  = -----------------

35 dollars         x dollars

Using cross products

4x = 35*7

4x =245

Divide each side by 4

4x/4 = 245/4

x =61.25

By evaluating the exponential equation, we will see that the amount that Erica owes after 6 years is $8551.56

Here we just need to use the exponential equation:

A = P*(1 + r/n)^(n*t)

Where A represents the amount owed t years after, and the other letters represent:

Replacing all that in the given quadratic equation we will get:

A = $5,300*(1 + 0.08/12)^(12*6) = $8551.56

Then the amount that Erica owes is $8551.56

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Answer:

Unknown, Solve for x or y?

Step-by-step explanation:

You need to elaborate on your answer... sorry.

In the meantime, here is Microsoft Math Solver, With your equations:

https://mathsolver.microsoft.com/en/solve-problem/x-y%20%3D%20%203

You can use this tool next time :)

Have a great day,

Nate

A is correct.

5^2=25

2^3=8

3^2=9

25+8x9