Find an equation of the tangent line to the curve at the given point.y = 5x^2 − x^3, (1, 4)

The mean and the standard deviation of the sampling distribution of x are given as follows:

Mean: 225 seconds.

Standard deviation: 19 seconds.

How to acquire the mean and the standard deviation of the sampling distribution of x?

The mean and the standard deviation of the sampling distribution of x are characterized according to the Central Limit Theorem, which expresses that:

The mean is equivalent to the population mean.

The standard deviation is the division of the population standard deviation by the square foundation of the example size.

The boundaries for this issue are given as follows:

Population mean of 225 seconds.

Population standard deviation of 60 seconds.

Test size of 10 seconds.

Subsequently the standard deviation for the sampling distribution of x is given as follows:

s = 60/sqrt(10) = 19 seconds.

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Answer:

D. \(-360\,\frac{km}{h}\)

Step-by-step explanation:

Physically speaking, average acceleration (\(\bar a\)), measured in kilometers per square hour, is defined by following formula:

\(\bar a = \frac{v_{f}-v_{o}}{t_{f}-t_{o}}\) (1)

Where:

\(v_{o}\), \(v_{f}\) - Initial and final speed, measured in kilometers per hour.

\(t_{o}\), \(t_{f}\) - Initial and final instant, measured in hours.

The initial and final instants are, respectively:

\(t_{o} = 5\,min\times \frac{1\,h}{60\,min}\)

\(t_{o} = 0.083\,h\)

\(t_{f} = 9\,min \times \frac{1\,h}{60\,min}\)

\(t_{f} = 0.15\,h\)

If we know that \(t_{o} = 0.083\,h\), \(v_{o} = 60\,\frac{km}{h}\), \(t_{f} = 0.15\,h\) and \(v_{f} = 36\,\frac{km}{h}\), then the average acceleration of Kelly is:

\(\bar a = \frac{36\,\frac{km}{h}-60\,\frac{km}{h}}{0.15\,h-0.083\,h}\)

\(\bar a = -358.209\,\frac{km}{h^{2}}\)

The correct answer is D.

Answer:

Step-by-step explanation:

Answer:

4 < √21 < 5

Step-by-step explanation:

√16 = 4

√25 = 5

4 < √21 < 5

Answer:

only bots have this tip of work

Step-by-step explanation:

Answer:

47.43

Step-by-step explanation:

To find 51% of the number 93, multiply the latter by 0.51:

0.51(93) = 47.43

Answer:

47.43

Step-by-step explanation:

51% of 93

\(\frac{51}{100}\times \frac{93}{1}\)

\(=\frac{4743}{100\times \:1}\)

\(=\frac{4743}{100}\)

Answer:

A,C

Step-by-step explanation:

Answer:

  (2, 5)

Step-by-step explanation:

You want the ordered pair that is a solution to y ≤ 4x -3 from those on the list:

The attachment shows a graph of the inequality, along with the offered solution points. The only solution among those shown is (2, 5). That solution lies on the boundary line. The "≤" symbol means the boundary line is included in the solution set.

We can use a calculator to check the solutions, too. Rearranging, we have ...

  4x -3 -y ≥ 0

The calculator in the second attachment is able to make this calculation using the list of x-values and the list of y-values. The solution list only has one number that is not less than zero. That corresponds to (x, y) = (2, 5).

__

Additional comment

We like to avoid having to enter the same equation over and over with different data. That is why we have chosen the solution methods here. A spreadsheet can repeat the calculation and comparison for you, too.

#95141404393

The Average Speed of the runner is 6.25 meters per second when the  runner ran 3000 m in exactly 8 minutes.

Average speed combines the concepts of speed and average, which refers to a mean calculated from several different data points.

If the motion can be timed and the distance measured, you can determine the average speed for any kind of motion.

calculation

The distance traveled (\(s\)), in meters, divided by the time (\(t\)), in seconds, gives the runner's average speed (\(v\)), in meters per second. We make all necessary substitutions before computing the outcome. Remember that one minute is equal to 60 seconds.

The average running speed of the runner is: if we know that  s = 3000 m and t = 480 s .

v = s / t

v = 3000 / 480

v = 6.25 m / s

Running at a pace of 6.25 meters per second on average.

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Answer:

0.6275

Explanation:

We were given the following informationL

Flounder = 278

Red Drum = 382

Black Drum = 194

Bluefish = 348

Sea Trout = 159

Total = 278 + 382 +194 + 348 + 159 = 1,361

The probability that the next fish caught is a drum or a flounder is given by:

Therefore, the probability of the next fish being a Drum or Flounder is: 0.6275

To conduct the survey and collect information on environmental issues from 50 individuals, you can follow these steps.

1. Prepare a questionnaire on environmental issues: Water depletion, soil degradation, biodiversity, wells, afforestation, chemical fertilizers.

2. Approach 50 individuals for opinions on environmental issues.

3. Record responses and compile data from interviews or surveys.

4. Create a double bar graph with issues on the horizontal axis.

5. Use side-by-side bars for "Agree" and "Disagree" responses.

6. Label the graph with title, axes, and legend.

7. Use colors or patterns to differentiate bars for clarity.

1. Prepare a questionnaire with the list of environmental issues mentioned  -  Depletion in water , Soil degradation , Biodiversity , Construction of Wells , Afforestation , and Chemical Fertilizers.

2. Approach 50 individuals , either through in-person interviews , online surveys , or any other suitable method , and ask them to mark their answers as "Agree" or "Disagree" for each environmental issue.

3. Record the responses for each individual and compile the data.

4. Once you have the data , create a double bar graph to represent the information. Use the horizontal axis to represent the environmental issues (e.g. , Depletion in water , Soil degradation , etc.) , and the vertical axis to represent the count or percentage of respondents.

5. Create two bars side by side for each environmental issue , one representing the count or percentage of individuals who agreed and the other representing those who disagreed.

6. Label the graph appropriately , including a title , axis labels , and a legend to differentiate between the "Agree" and "Disagree" bars.

7. Use different colors or patterns to make the bars visually distinguishable.

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The equation of the line in slope intercept form is y = -2 / 3 x - 6.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, let's find the slope of the line.

using (0, -6) and (3, -8)

m = -8 + 6/ 3 - 0

m = - 2 / 3

m = - 2 / 3

Therefore, let's find the y-intercept as follows:

using (0, -6)

y = - 2 / 3 x + b

-6 = - 2 / 3 (0) + b

b = -6

Therefore, the equation of the line is y = -2 / 3 x - 6.

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Answer:

59 degrees

Step-by-step explanation:

98+23=121

180 (total angle in a triangle) - 121 = 59 degrees

brainliest plz

Answer:

A. 59°

Step-by-step explanation:

Answer:

Understandable. Have a good day.

thats so cool btw thanks for the free points have a great day !

Answer:120

Step-by-step explanation:

LCM of 8 and 15

Answer:

Check your question well

Step-by-step explanation:

U didn't ask to draw angle p so how can we get the angle r

(1) One of the six countries sent 41 representatives to the congress --> obviously x6=41x6=41 --> x1+x2+x3+x4+A=34x1+x2+x3+x4+A=34.

Given: x1<x2<x3<x4<A<x6x1<x2<x3<x4<A<x6 and x1+x2+x3+x4+A+x6=75x1+x2+x3+x4+A+x6=75. Q: is A≥10A≥10

Can A≥10A≥10? Yes. For example: x1=2x1=2, x2=3x2=3, x3=8x3=8, x4=10x4=10, A=11A=11 --> sum=34sum=34 (answer to the question YES);

Can A<10A<10? Yes. For example: x1=4x1=4, x2=6x2=6, x3=7x3=7, x4=8x4=8, A=9A=9 --> sum=34sum=34 (answer to the question NO).

(2) Country A sent fewer than 12 representatives to the congress --> A<12A<12.

The same breakdown works here as well:

Can 12>A≥1012>A≥10? Yes. For example: x1=2x1=2, x2=3x2=3, x3=8x3=8, x4=10x4=10, A=11A=11, x6=41x6=41 --> sum=75sum=75 (answer to the question YES);

Can A<10A<10? Yes. For example: x1=4x1=4, x2=6x2=6, x3=7x3=7, x4=8x4=8, A=9A=9, x6=41x6=41 --> sum=75sum=75 (answer to the question NO).

(1)+(2) The given examples fit in both statements and A in one is more than 10 and in another less than 10. Not sufficient.

The answer of this Conditional Probability Question is 0.6

What is Conditional Probability?

Conditional probability is a measure of the probability of an event occurring given that another event has already occurred. It is calculated by taking the probability of the event occurring and dividing it by the probability of the initial event. For example, the probability of drawing a red card from a deck of cards, given that you have already drawn a card, is 26/51 (52 cards in a deck, minus the one already drawn). Conditional probability is an important concept in statistics and probability theory, and is used to make predictions about future events given the knowledge of past events.

Let us take a sample pace of 100

and we know P = favorable outcome/Total Outcomes

P = 60/100

P = 0.6

We need to always remember that Probability is always between 0 and 1 including both

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Answer:9

Step-by-step explanation:

I'm assuming the equation is : \(9^{6}\)=\(x^{3}\)*\(9^{3}\)

1) \(9^{6}\)=531441

  \(9^{3}\)    =729

2) 531441=729  \(x^{3}\)

3) \(\frac{531441}{729}\)= \(x^{3}\)

4)729=\(x^{3}\)

5) \(\sqrt[3]{729}\) =\(\sqrt{x}\)^3    

6) 9=x

When the consumption schedule lies below the 45-degree reference line, it means that at every level of income, people are consuming less than their income.

The consumption schedule represents the relationship between income and consumption in an economy, while the 45-degree reference line represents the line where income and consumption are equal.

In this scenario, saving occurs because people are not spending all of their income. The difference between their income and consumption is their savings. Thus, the amount of saving in the economy will increase as the consumption schedule moves further below the 45-degree reference line.

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When the consumption schedule lies below the 45-degree reference line, saving what does it means?

There is sufficient evidence to conclude that the average number of hours women work each week is more than 80 hours

The hypothesIs are

Ha : μ>80

Given the sample size n=68 and sample mean X 83 , sample standard deviation s=10

The test statistic is

t = x~ - 80/s/√n

t= 83-80/10/√68

t- 2.4738634

The P-value of the test is

P-value P(T> 2.4738634)

P-value 0.0080

When  α=0.05,

Reject the null hypothesis since P-value 0.0080 a 0.05

i) The -a) 10090 two-sided confidence interval for mean based on the sample data is

{x}\pm t_{1-\α /2,n-1}\frac{s}/{√n}

Here the 95% confidence interval is

= 83 ± t1-0.05/2,67 10/V68

= (80.58,85.42)

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Answer:

f(x) = cos x

cos 0= 1

cos pi = -1

cos pi/2 = 0

Answer:

about 17.21 feet

Step-by-step explanation:

Set your calculator to degree mode.

The figure is omitted--please sketch it to confirm my answer.

\( \sin(73) = \frac{h}{18} \)

\(h = 18 \sin(73) = 17.21\)

Answer: 8

Step-by-step explanation: hope this helps

The degree of a polynomial is the highest exponent of its variable. When multiplying monomials and binomials, we add the exponents of the variables to get the degree of the resulting polynomial.

However, the degree of the product can be different from the degree of the factors because of the distributive property of multiplication.

When we multiply a monomial by a binomial, we need to distribute the monomial to each term of the binomial. This results in new terms that may have different degrees than the original terms. For example, when multiplying the monomial x^2 by the binomial (2x + 3), we get:

x²(2x + 3) = 2x³ + 3x²

The degree of the monomial x² is 2, and the degree of the binomial (2x + 3) is 1. However, the degree of the resulting polynomial 2x³ + 3x² is 3 because the term 2x³ has a higher degree than any of the original terms.

Similarly, when we multiply two binomials, we need to distribute each term of one binomial to each term of the other binomial. This can also result in new terms with different degrees than the original terms.

Therefore, the degree of the product can be different from the degree of the factors when multiplying monomials and binomials because of the distributive property of multiplication.

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The no. of ways could those question be ordered is  1307674368000 ways A combination is what?

When selecting components from a collection using the combination method, the sequence of selection is unimportant, in contrast to permutations. In simpler scenarios, the number of combinations can be counted.

The act of combining n objects into k groups, one at a time, without repetition Repetition-allowed combinations are usually referred to as k-selection or k-combinations with repetition.

Given

that, Total no of question in quiz is 15 The no. of ways could those question be ordered is 15! ways =  1307674368000 ways The number of possible ways for those questions is 1307674368000.

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Answer:

Z = 75°

Step-by-step explanation:

Z is equal to 75°

hope that will help you

Answer:

200.96in^2

Step-by-step explanation:

If the 1st cookie cake is 8" for its diameter and the 2nd cookie cake will have twice the length diameter of the 1st cookie cake .You will do 2 × 8 to get the diameter of the 2nd cookie cake.

First cookie cake diameter is 8".

Second cookie cake's diameter is 16".

Since we need the radius to find the area of the 2nd cookie cake we're going to do 16 / 2 which equals 8 so 8 is the radius.

A=(pi)r^2

A=(pi)8^2 *to the 2nd power means times by the same number

A=(pi)64

A= (3.14)(64)

A=200.96

=200.96^2

pi= 3.14 *for this problem

The differences that exists between r and p are:

When points in a scatter plot are plotted against a linear regression line based on those points, as in the example when solving for cumulative savings over time, the sample correlation coefficient (r) is a measurement of how closely the points are associated.

The correlation coefficient (ρ) is a metric for estimating how closely two variables' movements are related. The Pearson product-moment correlation is used to calculate the most popular correlation coefficient, which is used to assess the linear relationship between two variables.

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The deterministic finite automaton (DFA) M3 for the language L3, where strings have more than 3 'c' symbols and do not end in 'c', is designed with states q0, q1, q2, q3, and q4. Transitions and loops are created to determine acceptance.



To build a deterministic finite automaton (DFA) for the language L3 = {x ∈ {a, b, c}* | x has strictly more than 3 'c' symbols and does not end in 'c'}, we can design the following DFA M3:1. Start with an initial state q0.

2. Create a loop on q0 for 'a', 'b', and 'c' inputs, leading back to q0.

3. From q0, transition to a state q1 on input 'c'. This represents the first 'c' encountered.

4. From q1, create a loop for 'a' and 'b' inputs, leading back to q1.

5. Transition from q1 to q2 on input 'c'. This represents the second 'c' encountered.

6. Similarly, create a loop on q2 for 'a' and 'b' inputs, leading back to q2.

7. Transition from q2 to q3 on input 'c'. This represents the third 'c' encountered.

8. From q3, create a loop for 'a', 'b', and 'c' inputs, leading back to q3.

9. Create a final accepting state q4 and transition from q3 to q4 on 'a' or 'b' inputs.

In this DFA, any string that ends with 'c' or has less than three 'c' symbols will not reach the accepting state q4, hence not belonging to L3.

Therefore, The deterministic finite automaton (DFA) M3 for the language L3, where strings have more than 3 'c' symbols and do not end in 'c', is designed with states q0, q1, q2, q3, and q4. Transitions and loops are created to determine acceptance.

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