Which expression gives the surface area of a sphere with radius 3x?

Using the normal distribution, it is found that:

a) The 10th percentile for incubation times is of: 18.72 days.

b) The incubation times that make up the middle 95​% are of: Between 18.04 and 21.96 days.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for the incubation times are presented as follows:

\(\mu = 20, \sigma = 1\)

The 10th percentile for the distribution is X when Z = -1.28, which is the value of Z with a p-value of 0.1, hence:

-1.28 = (X - 20)/1

X - 20 = -1.28

X = -1.28 + 20

Z = 18.72 days.

Considering the symmetry of the normal distribution, the bounds of the middle 95% of values are given as follows:

Hence the lower bound is:

-1.96 = (X - 20)/1

X - 20 = -1.96

X = -1.96 + 20

Z = 18.04 days.

The upper bound is:

1.96 = (X - 20)/1

X - 20 = 1.96

X = 1.96 + 20

Z = 21.96 days.

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we have

198 --> 200

25 --> 30

so,

answer: 200 x 30 = 6000

Answer:

16.8

Step-by-step explanation:

Nicole would have $73,036.70 - $56,772.25 = $16,264.45 more money than Bentley after 14 years at the given interest rate.

Simple interest refers to an interest rate where the interest is just calculated on the principal sum of money. For the duration of the loan or investment, the interest rate is only applied once to the principal sum. On the other hand, compound interest is a type of interest where the interest is computed using both the principal and the interest from prior periods. After each compounding period, the interest rate is applied to the newly created balance.

The compound interest is given as:

\(A = P * e^{(rt)}\)

Substituting the given values:

\(A = 29000 * e^{(0.0541 * 14)} = $73,036.70\)

Now, after 14 years:

\(A = P * (1 + r/100)^t\)

Substituting the values:

\(A = 29000 * (1 + 0.04885)^{14} = $56,772.25\)

Hence, Nicole would have $73,036.70 - $56,772.25 = $16,264.45 more money than Bentley after 14 years

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A technical change that increases the productivity of capital in the Cobb-Douglas production function is represented by an increase in the β parameter.

In the Cobb-Douglas production function f(l,k) = alαkβ, where l represents labor input, k represents capital input, and α and β are positive constants representing the output elasticity of labor and capital, respectively, a technical change that increases the productivity of capital can be represented by an increase in the β parameter.

By increasing the β parameter, the production function assigns a higher weight to the capital input, indicating that an increase in capital will have a greater impact on output. This represents an improvement in the productivity of capital, reflecting technological advancements or changes that make capital more efficient in the production process.

In summary, a technical change that increases the productivity of capital in the Cobb-Douglas production function is represented by an increase in the β parameter.

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Applying the quotient rule, the derivative of the function is given by:

\(f^{\prime}(x) = \frac{3(3x - 6)^2(3(2x - 2) - 2(3x - 6))}{(2x - 2)^4}\)

Suppose a quotient function defined as follows:

f(x) = g(x)/h(x).

The derivative of the function is defined according to the following rule:

f'(x) = [g'(x)h(x) - h'(x)g(x)]/(h(x))²

For this problem, the function is given by:

f(x) = (3x-6)³ /(2x-2)³.

Hence the parameters are:

Applying the power rule and the chain rule, the derivatives of the functions are:

Hence the derivative of the function is:

\(f^{\prime}(x) = \frac{9(3x - 6)^2(2x - 2)^3 - 6(2x - 2)^2(3x - 6)^3}{(2x - 2)^6}\)

\(f^{\prime}(x) = \frac{3(3x - 6)^2(2x - 2)^2(3(2x - 2) - 2(3x - 6))}{(2x - 2)^6}\)

\(f^{\prime}(x) = \frac{3(3x - 6)^2(3(2x - 2) - 2(3x - 6))}{(2x - 2)^4}\)

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Answer:

The slope is \(\frac{5}{2}\) (5/2)

Step-by-step explanation:

Key skills needed: Subtraction, Division, Slope Formula

1) So to find the slope here, we use the slope formula.

Given 2 points \((x_1, y_1)\) and \((x_2, y_2)\)

To find the slope you do: \(\frac{y_2-y_1}{x_2-x_1}\)

2) So in this case, the 2 points are (-1,-2) and (1,3)

3) We can use the slope formula to find the slope

Now we do \(\frac{y_2-y_1}{x_2-x_1}\)

This would be: \(\frac{3-(-2)}{1-(-1)}\)

If you are subtracting -2, that means you add 2. If you are subtracting -1, then that means you add 1.

This means ---> \(\frac{3+2}{1+1}\)

3+2 is 5, and 1+1 is 2 so your slope would be \(\frac{5}{2}\) (5/2)

Hope you understood and have a nice day!! :D

Answer:

200 I think that is it. If not I'm not sure.

To find the images of v and u under the composite transformation (T2T1), we need to apply the linear transformations T1 and T2 in sequence.

Let's start by calculating (T1(v)):

T1(v) = 2v - 7u

Next, we apply T2 to the result:

T2(T1(v)) = T2(2v - 7u)

Using the given values for T2, we substitute v and u:

T2(T1(v)) = T2(2v - 7u) = 2(2v - 7u) + 2(-6v + 3u)

Simplifying further:

T2(T1(v)) = 4v - 14u - 12v + 6u

Combining like terms:

T2(T1(v)) = -8v - 8u

Therefore, the image of v under the composite transformation (T2T1) is -8v - 8u.

Similarly, let's calculate (T1(u)):

T1(u) = -6v + 3u

Now we apply T2 to the result:

T2(T1(u)) = T2(-6v + 3u) = 4(-6v + 3u) + 2(-7u - 4u)

Simplifying further:

T2(T1(u)) = -24v + 12u - 14u - 8u

Combining like terms:

T2(T1(u)) = -24v - 10u

Therefore, the image of u under the composite transformation (T2T1) is -24v - 10u.

In summary:

(T2T1)(v) = -8v - 8u

(T2T1)(u) = -24v - 10u

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This is impossible to solve.

For an equation or inequality to be solvable, there must be the same number of inequalities as variables. Here, there is an x and there is a y. This means that you need at least two inequalities to solve it.

You can, however, rearrange to get x or y on one side.

This can be done for x:

5x < 10 + 2y

x < 2 + 2/5y

Or it can be done for y:

5x < 10 + 2y

5x - 10 < 2y

2.5x - 5 < y

Answer:

56-25

= 31

Step-by-step explanation:

Answer: Marcus has 31 marbles

Step-by-step explanation: Tom has 25 marbles and there is 56 total so you subtract 25 from 56 and it sums up to 31. Your welcome.

Answer:

19

Step-by-step explanation:

The expressions that equal 36 is:

E) 53 − (2. 5 × 30) − 20

Evaluated the mathematical expressions in each response to see if they equal 36.

A. (14⋅32)2−28 = (448)² - 28 = 14⁴ - 28 = 2016 - 28 = 1988, not equal to 36.

B. 23 + (58−54)2 + 122 = 23 + (4)² + 12 = 23 + 16 + 12 = 51, not equal to 36.

C. 92 − (43 + 32) + 30050 = 9² - (7 + 3) + 30050 = 81 - 10 + 30050 = 30021, not equal to 36.

D. 124 + (82 − 42) − 99 = 124 + (64 - 16) - 99 = 124 + 48 - 99 = 73, not equal to 36.

Thus, only the expressions listed in my previous answer equal 36.

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there are websites such as

mathpapa

algebra tiger - favorite

and many more that will give you the CORRECT answer and will give u a step by step explanation on how it was answered

Answer:

The largest possible result she can get is 550

Step-by-step explanation:

Here we have that to find the largest possible result, the numbers from which the last number is subtracted from should be the largest possible, hence

Whereby, we had K × A × N + G × A - R × O × O, then;

K ------- 9

A---------8

N---------7

G---------6

A---------8

R---------2

O---------1

O---------1

will give, 504 + 48 - 2 = 550

If however, the A = 7 and N = 8 we have;

504 + 42 - 2 = 544

Hence, the largest possible result she can get = 550.

Answer:

LAST TABLLEE

Step-by-step explanation:

We are given a equation m²-10m+16

We have to find which diagram represents the factor of m²-10m+16 we will use splitting the middle term method:  

m²-10m+16 can also be written as

m²-8m-2m+16

= m(m-8)-2(m-8)

=(m-2)(m-8)

so, Last Table represents the factors of m²-10m+16

Increasing the width of a confidence interval can be achieved by:
a) Increasing the confidence level: A higher confidence level requires a wider interval to capture the true population parameter with greater certainty.
b) Decreasing the number in the sample: A smaller sample size results in less precision and a wider confidence interval due to increased sampling variability.
c) Increasing the variance: A larger variance implies greater dispersion in the data, which requires a wider confidence interval to accommodate the increased uncertainty.

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Increasing the confidence level or decreasing the sample size would increase the width of a confidence interval. c

Conversely, decreasing the confidence level or increasing the sample size would decrease the width of the confidence interval.

Decreasing the variance of the data would also decrease the width of the confidence interval.

As it would make the data points more tightly clustered around the mean, reducing the uncertainty of the estimate.

On the other hand, a smaller confidence level or a larger sample size would result in a narrower confidence interval.

The breadth of the confidence interval would be reduced if the data's volatility was reduced.

The data points would become more closely packed around the mean, lowering the estimate's level of uncertainty.

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Answer:

c because she wants to spend less than 113 and if she sent 160 that would be 113 so has to be less

Step-by-step explanation:

113>97+.1x

16>.1x

160>x

The given sequence is convergent and the limit is 1.

What is a sequence?

In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.

Here, we have

Given: aₙ = (n/2) sin(2/n)

First, we will find the limit of a given sequence.

aₙ = \(\lim_{n \to \infty} (n/2)sin(2/n)\)

We apply L'hospital's rule here and we get

aₙ = \(\lim_{n \to \infty} {cos(2/n)(-2/n^2)}/(-2/n^2)\)

aₙ = \(\lim_{n \to \infty} cos(2/n)\)

aₙ = 1

We concluded that the given series is convergent.

Hence, the given sequence is convergent and the limit is 1.

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Answer:

i think it is. r = -s + 3z could be wrong sorry if it is

Hi there! :)

\(\large\boxed{x = -6}\)

Solve for x:

4x + (-3) = 5x + 3

Adding a negative number is simply subtracting, therefore:

4x - 3 = 5x + 3

Subtract 4x from both sides:

4x - 4x - 3 = 5x - 4x + 3

-3 = x + 3

Subtract 3 from both sides:

-3 - 3 = x + 3 - 3

-6 = x

Answer:

\(x=-6\)

Step-by-step explanation:

Isolate the variable.

\(4x+(-3)=5x+3\)

\(4x=5x+6\)

\(0=x+6\)

\(x=-6\)

Hope this helps!

Option C: 0.8889 is the probability of choosing an orange marble and a green marble.

So there are in total 10 marbles.

Two marbles can be chosen in \(^{10}C_2\) ways = 90/8

Now the favorable event is when one green marble and one orange marble  is chosen. The number of ways this can be done is \(^{2}C_1 \times ^{2}C_1 = 4\)

The resultant probability is calculated by:

\(P(E) = \dfrac{Number \:of\: Favourable \:cases}{ Number\: of\: total \:cases}\\= \dfrac{4}{\frac{90}{2}}\\\\= \dfrac{8}{90}\\\\\approx 0.08889\)

Thus the needed probability is 0.08889 given by option C.

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Answer:

b

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

Carla earned $32 in commission.

Step-by-step explanation:

Multiply 400 by .08 (or 8/100) to get your answer.

Answer:

- 26, - 7 , 1 , 3 , 8 , 10

hope it helps and your day will be full of happiness

Answer:

Greatest

2(5)

I-8I

3

I-1I

-12+5

4(-6)

Step-by-step explanation:

absolute value of -8 = 8

-12+5= -7

2(5) = 10

4(-6)=-24

absolute value of -1 = 1

3

Answer:

6

Step-by-step explanation:

1/4= 6 men

1/2=12 men

therefore 24-12-6=6 men

Answer:  0.6 in 10 % ; 0.4 in 15 %

Step-by-step explanation:

1. (x*10%) + (y*15%)/ x+y=12%

2. x+y = 1  x= 1-y

(0.1x + 0.15y/ x+y= 12/100) * 100

(10x + 15y/x+y = 12)*(x+y)

10x+15y= 12x + 12y

-2x=-3y

2x = 3y   2(1 - y)= 3y

2-2y=3y   2= 5y

y= 0.4

x= 0.6

Answer:

That is  1/5.

Step-by-step explanation:

It is also 20%(if you need that too.)

Answer:

5. c = 13

6. b = 6

Step-by-step explanation:

Our equation is a^2 + b^2 = c^2

5. 144 + 25 = 169

Then square root 169

c = 13

6. 64 + b^2 = 100

b^2 = 36

b = 6

Answer:

If Sanjay wants to make 24 but the recipe makes 8, then do the recipe 3 times to get 24 (8 x 3 = 24)

135 x 3 = 405

1 x 3 = 3

2 x 3 = 6

130 x 3 = 390

1 x 3 = 3

2 x 3 = 6

So Sanjay would need the following to make 24 pancakes:

405g flour

3tsp baking powder

6tbsps sugar

390mL milk

3 eggs

6tbsps oil

Answer:

405 g flour

3 tsb baking soda

6 tbsps sugar

390 mL milk

3 eggs

6 tablespoons oil