A dataset has a mean of 14.56 and a variance of 11 . Suppose we add the value 98 to each of the sbervations in the dataset. Report the the standard deviation of the resulting dataset. Report your inswer to 2 decimal places.

Let x = percentage of carbon dioxide in the room as a function of time t (in minutes) is x(t) = 0.15% + (0.05% - 0.15%) * (1 - (2t/180)), where t is time in minutes.

This equation is derived by considering the balance of carbon dioxide in the room. The rate of change of the percentage of carbon dioxide in the room is equal to the difference between the rate of inflow of fresh air (with 0.05% carbon dioxide) and the rate of outflow of mixed air (with x% carbon dioxide). This equation can be used to calculate the percentage of carbon dioxide in the room as a function of time.  

As time increases, the percentage of carbon dioxide in the room decreases since the rate of inflow of fresh air is greater than the rate of outflow of mixed air. Initially, the percentage of carbon dioxide in the room is 0.15% and as time increases, it decreases to 0.05%. In other words, the percentage of carbon dioxide in the room approaches 0.05% asymptotically as t increases.

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Answer:

12-2n

Step-by-step explanation:

Difference means to subtract

Times means to multiply

A number would be the variable

Answer: Absolute value will alwase be a positive number, while solving an equation that does not involve absolute value could be any number. Positive, negativ, you name it. They ae similer, because either way, you are trying to figure out a varible. -hope this helped! if i misunderstood anything, let me know! i love to improve :D

From the experiment conducted by Marcie with a bag of marbles,

Total number of times a purple marble is drawn, i.e purple is 1

Total number of different colors of marbles drawn, i.e whole is 20 as shown below

The formula to find the proportion of purple marble drawn by Marcie is

Where

Substitute the values into the formula of proportion above

Hence,

Based on Marcie's experiment, the proportion of purple marble in the bag she would expect is 5%

Equation of the tangent at (0, 1/7) is y = (5/36)x + 1/7.

To find an equation of the tangent line to the curve y = (1 + x)/(6 + \(e^{x}\) ) at the point (0, 1/7), we need to find the slope of the tangent line at that point and then use point-slope form to write the equation of the line.

To find the slope of the tangent line, we need to take the derivative of y with respect to x, and evaluate it at x = 0:

y' = [(6 +  \(e^{x}\))(1) - (1 + x)( \(e^{x}\))]/\((6+e^{x} )^{2}\)

At x = 0, we have:

y' = [(6 + \(e^{0}\))(1) - (1 + 0)(\(e^{0}\))]/\((6+e^{0} )^{2}\) = 5/36

So, the slope of the tangent line at (0, 1/7) is 5/36.

Now, we can use point-slope form to write the equation of the tangent line:

y - \(y_{1}\) = m(x - \(x_{1}\))

where m is the slope we just found, and (\(x_{1}\), \(y_{1}\)) is the point we're given, (0, 1/7).

Substituting the values, we get:

y - 1/7 = (5/36)(x - 0)

Simplifying, we get:

y = (5/36)x + 1/7

Therefore, the equation of the tangent line to the curve y = (1 + x)/(6 +  \(e^{x}\)) at the point (0, 1/7) is y = (5/36)x + 1/7.

Correct Question :

Find An Equation Of The Tangent Line To The Given Curve At The Specified Point.  y =(1+x)/(6+\(e^{x}\)) , (0, 1 /7 ).

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The exact value of secθ in simplest radical for is 1.083

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

We are Given θ is an angle in standard position.

Its terminal side passes through the point (12, -5).

To find the exact value of secθ in simplest radical form.

When θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of secθ is:

So, we have x = 12 and y = -5 which is in the first quadrant.

Therefore,

r² = x² + y²

r² = ( 12 )² + ( -5 )²

r² = 144 + 25

r² = 169

r = 13

Then,

sec θ = 1/cosθ

sec θ = [ 1/(x/r) ]

sec θ = r/x

sec θ = 13/12

sec θ = 1.083

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Answer: There is 126 more freshmen than sophomores.

Step-by-step explanation:

Subtract the number of freshmen by the number of sophomores.

678 - 552 = 126

The sides of the quadrilateral are

FG = 11

GH = 22

HJ = 33

FJ = 44

When the quadrilateral are similar according to the ratio 7 : 11 and the similar sides are:

FG : AB

GH : BC

HJ : CD

FJ : AD

Since FJ : AD the ratio is 11 : 7, therefore where FJ = 11 then AD = 7 = x

FG : AB

AB = 2x = 2 * 7 = 14

For FG

11 ⇔ 7

FG ⇔ 14

cross multiplying

7 * FG = 14 * 11

FG = 22

For GH

11 ⇔ 7

GH ⇔ BC = 3 * 7 = 21

cross multiplying

7 * GH = 21 * 11

GH = 33

For HJ

11 ⇔ 7

HJ ⇔ CD = 4 * 7 = 28

cross multiplying

7 * GH = 28 * 11

GH = 44

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Estimate the probability of obtaining a complete set of pictures, randomly generated numbers can be used to simulate the process of selecting cereal boxes. By repeating this simulation multiple times, we can calculate the proportion of times a complete set is obtained and use it as an estimate of the probability.

To model the likelihood of obtaining a complete set of pictures, we can create a simulation using randomly generated numbers. In this simulation, we repeat the process of selecting cereal boxes multiple times, mimicking the real-world scenario.

For each simulation, we randomly select five cereal boxes and check if they contain a complete set of pictures. We keep track of the number of simulations where a complete set is obtained. By dividing this count by the total number of simulations, we can estimate the probability of ending up with a complete set of pictures.

By running this simulation thousands or even millions of times, we can obtain a more accurate estimate of the probability. The more simulations we run, the closer our estimate will be to the true probability.

This approach allows us to account for the randomness involved in selecting the cereal boxes and provides an estimate of the probability based on the simulated outcomes.

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Answer:y = 9x

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

\(2(m − 3) + 3(m + 4)\)

\(2m - 6 + 3m + 12\)

\(5m + 6\)

Answer:

20

Step-by-step explanation:

Answer:

This sh't confusing but I think the answer is bank B

Step-by-step explanation:

Answer:

\(\frac{24}{35}\)

Step-by-step explanation:

\(\frac{9}{10} - \frac{3}{14}\)

We need to determine the least common denominator (LCD) of 10 and 14 in order to subtract both fractions.  A great way to do so is finding their least common multiply (LCM):

The prime factors of 10 are: 1, 2, and 5

The prime factors of 14 are: 1, 2, 7.

Therefore, the LCM of 10 and 14 are: 1 × 2 × 5 × 7 = 70

The LCD of 10 and 14 is 70.

Next, we need to rewrite the given unlike fractions into like fractions using the LCD.

\(\frac{9}{10}\) ×  \(\frac{7}{7}\) = \(\frac{63}{70}\)

\(\frac{3}{14}\) ×  \(\frac{5}{5}\) = \(\frac{15}{70}\)

Subtract both fractions:

\(\frac{63}{70}\) -  \(\frac{15}{70}\) = \(\frac{48}{70}\)  

Reduce \(\frac{48}{70}\) to its simplest form:

\(\frac{48}{70}\) ÷ \(\frac{2}{2}\) = \(\frac{24}{35}\)

Therefore, the correct answer is  \(\frac{24}{35}\).

Answer: The answer to your question is to not ask clearly you just answered your own question like yoooooooooooooooooooo.

Step-by-step explanation:

Answer:

(a)Yes, she would make a profit of $300

(b)4 years

Step-by-step explanation:

The probability distribution table of Claire's profit is presented below.

\(\left|\begin{array}{c|c|c|c|c}$Profit, x&-\$10000&\$0&\$5000&\$8000\\P(x)&0.2&0.4&0.3&0.1\end{array}\right|\)

(a)Expected Profit = (-10000 X 0.2)+(0 x 0.4)+(5000 X 0.3)+ (8000 X 0.1)

=$300

Claire should invest in the company as she is expected to make a profit of $300.

(b)If Claire’s initial investment is $1,200 and the expected value for the new business stays constant

$1200/$300=4

Therefore, it will take her 4 years to earn back her initial investment.

Answer:

4

Step-by-step explanation:

because i know

Answer:

9,007,308

Step-by-step explanation:

hope this helps! :)

Answer:

Step-by-step explanation:

Expressed symbolically, this number is 9,007,308

There is insufficient evidence to substantiate the publisher's claim at the 0.05 level of significance.

To determine if there is sufficient evidence to substantiate the publisher's claim, we need to conduct a hypothesis test.

Let's assume the null hypothesis is that the proportion of readers who own a personal computer is equal to 0.32.

The alternative hypothesis is that the proportion is greater than 0.32.

We can use a one-tailed z-test for proportions to test the hypothesis.

At the 0.05 level of significance, the critical z-value for a one-tailed test is 1.645.

If our calculated z-value is greater than 1.645, we reject the null hypothesis and conclude that there is sufficient evidence to support the publisher's claim.

Assuming we take a random sample of readers and find that 350 out of 1000 readers own a personal computer, the calculated z-value can be computed as:

\(z = (p - P) / \sqrt( P(1-P) / n )\)

where

p = sample proportion = 350/1000 = 0.35

P = hypothesized proportion = 0.32

n = sample size = 1000

z = (0.35 - 0.32) / sqrt( 0.32 * 0.68 / 1000 )

z = 1.42

Since the calculated z-value (1.42) is less than the critical z-value (1.645), we fail to reject the null hypothesis.

Therefore, there is insufficient evidence to substantiate the publisher's claim at the 0.05 level of significance.

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Answer:

D) 42.31%

Step-by-step explanation:

If 121 people went to the amusement park out of 286 total students, then the percentage of surveyed students that chose the amusement park would be 121/286=0.4230769231=42.31%, making option D correct.

Answer:

40%

Step-by-step explanation:

Aquí, tuvimos que 5 trabajadores habían terminado el 60% del muro.

Entonces, el porcentaje que queda por hacer sería el porcentaje total, el porcentaje realizado por los 5 trabajadores.

Matemáticamente, el porcentaje total será del 100%.

Entonces, el porcentaje total realizado por los trabajadores restantes será 100% - 60% = 40%

Answer:

6:9  14:21    

Step-by-step explanation:

Answer:

6:9 and 14:21 are equivalent to 2:3

Answer:

16. -16+7=-9

17. -11+1=-10

18. 12+13=25

19. -4+(-8)=-12

If a function is not continuous, it may or may not be differentiable.

The differentiability of a function is not determined solely by its continuity.

A continuous function is a function that can be drawn without picking up a pen. In mathematical terms, a function f(x) is continuous if, as x approaches a point a, f(x) approaches f(a).

For a function to be differentiable, it must be continuous. If a function is not continuous, it is not differentiable. However, the opposite is not always true; a function may be continuous but not differentiable.

In summary, a function that is not continuous may or may not be differentiable, while a function that is differentiable must be continuous.

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The equilibrium of this game is {s1 = 1/2, s2 = 1/4} and Player 2 plays A if sA2 = 3/4 and plays B if sB2 = 1/2.

Consider the following two-player game. Si = [0, 1], for i = 1, 2. Player 2 is equally likely to be type A or type B, and the realization of her type is private information to her.

Payoffs are as follows:

u1(s1,s2)=1−[s1 −(1/2)s2]^4

uA2(s1,sA2)=100−[sA2 −s1−1/4]^2

uB2 (s1,sB2 )=100−[sB2 −s1]^2.

To find a Bayes-Nash equilibrium of this game, we need to solve this problem by backwards induction.

The equilibrium of this game is {s1 = 1/2, s2 = 1/4} and Player 2 plays A if sA2 = 3/4 and plays B if Subs = 1/2.

A Bayes-Nash equilibrium is a pair of strategies, one for each player, such that each player's strategy is optimal given the other player's strategy and her private information about the game.

This is a refinement of the Nash equilibrium that takes into account the players' information about the game.

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A. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.

B. The source of the variability is due to chance or sampling error, which arises from taking a sample instead of surveying the entire population.

C.  The sampling distribution of p is approximately normal.

D. We find that the probability is 0.0912 or about 9.12%.

E. We get:z = (0.75 - 0.82) / sqrt[0.82(1-0.82)/100] = -2.29

a. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.

b. The sample proportion, p, is a random variable because it varies from sample to sample. The source of the variability is due to chance or sampling error, which arises from taking a sample instead of surveying the entire population.

c. The sampling distribution of p is approximately normal if the sample size is sufficiently large and if np ≥ 10 and n(1-p) ≥ 10, where n is the sample size and p is the population proportion. In this case, we have:

Sample size (n) = 100

Population proportion (p) = 0.82 Thus, np = 82 and n(1-p) = 18, both of which are greater than 10. Therefore, the sampling distribution of p is approximately normal.

d. To calculate the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.85, we need to find the z-score and then look up the corresponding probability from the standard normal distribution table. The formula for the z-score is:

z = (p - P) / sqrt[P(1-P)/n]

where p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:

z = (0.85 - 0.82) / sqrt[0.82(1-0.82)/100] = 1.33

Looking up the corresponding probability from the standard normal distribution table, we find that the probability is 0.0912 or about 9.12%.

e. Yes, it would be unusual for a survey of 100 Americans to reveal that 75 or fewer are satisfied with the way things are going in their life. To check if it is unusual or not, we need to calculate the z-score and find its corresponding probability from the standard normal distribution table. The formula for the z-score is:

z = (p - P) / sqrt[P(1-P)/n]

where p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:

z = (0.75 - 0.82) / sqrt[0.82(1-0.82)/100] = -2.29

Looking up the corresponding probability from the standard normal distribution table, we find that the probability is 0.0106 or about 1.06%. Since this probability is less than 5%, it would be considered unusual to observe 75 or fewer Americans being satisfied with the way things are going in their life.

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Answer:

expression a and c

Step-by-step explanation:

A. 9x-3x-4 = 6x-4

C. 5x+x-4 = 6x-4

hope this helps

Answer:

Expression A and C

Step-by-step explanation:

When Expression A is simplified it is 6x - 4. And for Expression C you add 5x and x, and then it’s 6x - 4. That makes them the same expression. So your answer would be Expression A and C.

I hope it helps! Have a great day!

Muffin ^^