Question 14 < if h(x) = 7+6f(x), where f(5) = 7 and f'(5) = 3, find h'(5). = h'(5) = Question Help: Message instructor Submit Question

The critical value of t is approximately 1.895.

The critical value of t is approximately 2.626.

What is Confidence Interval?

In statistics, a confidence interval is a range of values calculated from a sample of data that is likely to contain the true value of an unknown population parameter with a certain level of confidence, usually expressed as a percentage. It is a measure of the precision and reliability of an estimate.

a) Using a t-distribution calculator or a t-table with 7 degrees of freedom and a 90% confidence level, the critical value of t is approximately 1.895.

b) Using a t-distribution calculator or a t-table with 103 degrees of freedom and a 99% confidence level, the critical value of t is approximately 2.626.

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Answer:

Red: 2.035 x 10(4)

Step-by-step explanation:

Answer:

Red.

Step-by-step explanation:

Scientific notation consists of the ones place with a decimal right after it and a 10 to the something power next to it, therefore red is your answer.

Answer:

- 4(4z + 3)

Step-by-step explanation:

- 16z - 12 ← factor out - 4 from each term

= - 4(4z + 3)

The surface area is increasing at the rate of (60 x + 150) cm² per second.

Let the side of the cube be x cm.

s = x cm

Surface area of the cube will be:

S = 6 x² cm²

Now, we are given that, the side of the cube is expanding 5 cm per second.

So, the side of the cube after 1 second will be:

s' = x + 5 cm

Surface area will be:

S' = 6 (x + 5)² cm²

S' = (6x² + 150 + 60 x) cm²

Change in the surface area is:

ΔS = (6x² + 150 + 60 x) cm² - 6 x² cm²

ΔS = (60 x + 150) cm²

Therefore, the surface area is increasing at the rate of (60 x + 150) cm² per second.

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The perimeter of the triangle is 170 inches.

To solve for the perimeter, we first need to find the length of the perpendicular height. We can do this using the sine function:

sin(35°) = 46/x

x = 46/sin(35°) = 65 inches

Now that we know the length of the perpendicular height, we can find the length of the base of the triangle using the cosine function:

cos(35°) = 65/x

x = 65/cos(35°) = 75 inches

The perimeter of the triangle is the sum of the lengths of the three sides, so the perimeter is:

P = 65 + 75 + 30

= 170 inches

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This pooled estimate provides a common probability of success for both populations under the null hypothesis H0: p1 = p2, and is used in the calculation of the test statistic for the hypothesis test.

To calculate the best pooled estimate p for the population probability of success using H0: p1 = p2, we first need to calculate the individual sample proportions for each population.

The sample proportion for the first population is r1/n1, and the sample proportion for the second population is r2/n2.

Then, we can calculate the pooled estimate p as:

p = (r1 + r2) / (n1 + n2)

This is the weighted average of the sample proportions, where the weight is proportional to the sample size.

Using this pooled estimate p, we can then calculate the test statistic for the hypothesis test of difference of proportions.

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Answer:

P = 2(l+w) ----------(1)

P = 4l----------- (2)

P= 32x- 12

4l = 32x- 12

l = 8x- 3

One side will be equal to 21 units and the perimeter will be 84 units when x=3.

Step-by-step explanation:

The perimeter is given by the formula

P = 2(l+w) ----------(1)

where p= perimeter , l= length and w= width.

But a square has the length equal to the width so w= l and the formula becomes

P = 2( l+l)

P = 2 (2l)

P = 4l----------- (2)

The perimeter of the square is

P= 32x- 12

or

4l = 32x- 12

dividing the whole equation by 4 we get

l = 8x- 3

So the length of one side can be obtained by dividing the perimeter by 4.

If x= 3

then

l= 8(3)-3

l= 24- 3

l = 21

One side will be equal to 21 units and the perimeter will be 84 units.

P = 4l = 4(21)= 84

Expressions is equivalent to -m²-7m+21.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

When reduced to their most basic form, two or more ratios are said to be similar if their values are the same. Equivalent ratios include 1:2, 2:4, and 4:8. In their simplest form, all three ratios have the same value of 1:2.

Since both expressions' values are constant for all values of x, the equivalent expressions 3(x + 2) and 3x + 6 are also identical expressions. 3x + 6 = 3 × 4 + 6 = 18.          

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From the initial information, we can find out how many sweaters a single machine can prepare in a day. After that, we can use this information to find out how many sweaters the remaining machines can prepare in 10 days.

Initially, there are 15 machines working for 6 days to prepare 360 sweaters. So, a single machine can prepare 360/(15*6) = 4 sweaters per day.

If 3 machines break, there are 15 - 3 = 12 machines left.

Therefore, in 10 days, the remaining 12 machines can prepare 12 machines * 4 sweaters/machine/day * 10 days = 480 sweaters.

The remaining machines can prepare 480 sweaters in 10 days.

If 15 machines prepare 360 sweaters in 6 days, than

each machine produces = 360 sweaters / 15 machines

                                         = 24 sweaters in 6 days.

If 3 machines get out, the remaining machines are 15 - 3 = 12 machines.

Since we know that each machine produces 24 sweaters in 6 days.

We can calculate the rate at which they produce sweaters per day:

Rate per machine per day = 24 sweaters / 6 days = 4 sweaters per day.

The total number of sweaters that can be prepared in 10 days by the remaining machines is:

Total sweaters = (Rate per machine per day) * (Number of machines) * (Number of days)

                         = 4 sweaters per day * 12 machines * 10 days

                         = 480 sweaters.

Therefore, the remaining machines can prepare 480 sweaters in 10 days.

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Answer:

a = 374

Step-by-step explanation:

Given that:

Cost of children ticket = $6

Cost of adult ticket = $9

Total amount spent = $1219

Total number of people = 16

Let :

Children = c

Adult = a

a + c = 16 - - 1

6c + 9a = 1219 - - - 2

From 1

c = 16 - a

Using 2

6(16 - a) + 9a = 1219

96 - 6a + 9a = 1219

3a = 1123

a = 374.33

Adult = 374.33

The number should be a whole number, maybe there is a problem with the parameters given.

The area of the sandbox whose base is 3.5 meter and height is 2.4 meter is 4.2 m².

Given:

Base = 3.5 m

Height = 2.4 m

First, the area of the sandbox formula:

Area = 1/2 x base x height.

Next,  substitute b = 3.5 meters and h = 2.4 meters.

Area = 1/2 * (3.5) * (2.4).

Now, simplify by multiplying 1/2, 2.4, and 3.5.

Area = 1/2 x 2.4 x 3.5

Area = 4.2 square meters.

Thus, The area of the sandbox is 4.2 m².

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The question attached here seems to be incomplete, the complete question is:

Lokota wants to build a sandbox for his little brother. Determine the amount of sand he needs by finding the area of the sandbox. Use the drop-down menus to complete the statements.

First, write the formula: A = 1/2 bh
Next, use parentheses when you substitute __ for b and __ for h.

Now, simplify by ___ 1/2, 2.4, and 3.5.

The area of the sandbox is ___ m²

Answer:

C. time series

C. time series Step-by-step explanation:

A time series is a sequence of observations on a variable measured at successive points in time or over successive periods of time

A perfect linear relationship is essential for making accurate inferences in regression analysis. If the relationship between the variables is not linear, the results from the analysis may not be valid or reliable.

Option (a) would have resulted in a violation of the conditions for inference, as it would not be a representative sample of the population. Inference relies on the sample being representative of the population, and selecting the entire sample from one classroom would not be a random selection from the population.

Options (b), (c), (d), and (e) do not necessarily violate the conditions for inference. The sample size of 15 may affect the precision of the estimate, but it does not necessarily violate the conditions for inference.

A perfect linear relationship is essential for making accurate inferences in regression analysis. The scatterplot not showing a perfect linear relationship is expected in most cases, as perfect linear relationships are rare in real-world data. The histogram having an outlier may affect the distribution, but it does not necessarily violate the conditions for inference. And the standard deviation of foot length is different from the standard deviation of height is expected, as they are measuring different variables.

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The cost to ship 2000 lbs of goods from Atlanta to New Orleans using overnight shipping is $8000 option (A).

To calculate the cost of shipping 2000 lbs of goods from Atlanta to New Orleans (470 miles) using overnight shipping, we need to determine the appropriate price per 100 lbs based on the given distance and then apply the 100% premium for overnight shipping.

First, we need to determine the price per 100 lbs based on the distance of 470 miles. Looking at the given table, the distance falls into the range of 401-600 miles, which has a price of $200 per 100 lbs.

Since we have 2000 lbs of goods, we need to calculate the number of 100 lb units: 2000 lbs / 100 lbs = 20 units.

Now, we can calculate the cost of shipping without the overnight premium: 20 units * $200 per unit = $4000.

As the premium for overnight shipping is 100%, we need to double the cost: $4000 * 2 = $8000.

Hence, the correct answer is A) $8,000.

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Answer:

The distance between Mary's house and her grandmother's house is approximately 49.73 miles.

The 3 traveled the following distances:

Theo rode 50 miles, Mary drove 49.73 miles, and Nancy drove 53.299 miles.

Step-by-step explanation:

Mary's route is indeed the hypotenuse of a given triangle, that has a 13-mile adjacent hand and a 48-mile wrong side. They can solve for the length of the other side of the triangle using Pythagoras' theorem because we have two sides of the triangle.

Let us just say that triangle's ellipse is x square miles. Pythagoras's theory stated that

\(x = \sqrt{(13^2 + 48^2)} \\\\\)

  \(= \sqrt{169 + 2,304} \\\\ = \sqrt{2,473}\\\\ = 49.729\\\)

Mary's route was 49.73 square miles, to sum it up.

Nancy drove \(\sqrt{2,840} \ miles = 53.2916 \ miles\)

As a result, Mary rode the shortest distance of 49.73 miles, Theo drove 50 miles, and Nancy drove 53.299 miles.

Answer:

49.73

Mary, Theo, Nancy

Step-by-step explanation:

Approximately how many miles did Mary drive to her grandmother’s house?

✔ 49.73

Order the distances that each family member drove to their grandmother’s house from least to greatest.

✔ Mary, Theo, Nancy

Answer:

They are 12, 13, 14 and 15.

Step-by-step explanation:

If the least integer is x, then:

x + x + 1 + x + 2 + x + 3 = 54

4x + 6 = 54

4x = 48

x = 12.

We are given that:

Now, recall that when given two congruent triangles the order matters, in this case, the corresponding sides are:

and the corresponding angles are:

Using the CPCTC we get that:

Answer:

Answer:

Q1) 58 km/h

Q2) 240 km

Q3) 4 hours

Step-by-step explanation:

1) devide 147 and 3

2) multiply 80 and 3

3) devide 240 and 60

Answer:

58

240

4

____________________

ANSWER:

140

EXPLANATION:

Given:

We can go ahead and simplify as seen below;

Therefore the answer is 140

Q. If the graph of the parent function f(x) = x is shifted 7 units down, which of the following equations would the new graphed line represent?

Answer:

The value of p is -9.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(p-3)/(9-6)

m=(p-3)/3

-4=(p-3)/3

-4*3=p-3

-12=p-3

p=-12+3

p=-9

The Boolean expression for A being scheduled in at least one of the three periods is XA1 OR XA2 OR XA3.

The Boolean expression for A not being scheduled in more than one period is (XA1 XOR XA2) AND (XA2 XOR XA3) AND (XA3 XOR XA1).

The Boolean expression for A and B not being scheduled in the same period is (XA1 XOR XB1) AND (XA2 XOR XB2) AND (XA3 XOR XB3).

(a) To evaluate whether class A is scheduled in at least one of the three periods, we use the OR operator between the three variables: XA1 OR XA2 OR XA3. If at least one of these variables is true, the expression will evaluate to true (1), meaning that class A is scheduled in at least one period.

(b) To ensure that class A is not scheduled in more than one period, we use the XOR (exclusive OR) operator between all possible pairs of variables.

If two variables are true (1) at the same time, the expression will evaluate to false (0), meaning that class A is not scheduled in more than one period. We need to use the AND operator between all three pairs of XOR expressions to ensure that they are all true.

(c) To ensure that class A and class B are not scheduled in the same period, we use the XOR operator between the corresponding variables for each class:

XA1 XOR XB1, XA2 XOR XB2, and XA3 XOR XB3.

If any of these expressions evaluate to true (1), it means that class A and class B are not scheduled in the same period. We need to use the AND operator between all three expressions to ensure that they are all true.

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Answer:

If the expected value of the game is 5.6, this means that on average you can expect to earn 5.6 points per game if you were to play the game many times. However, since the point values available in the game are 20, 10, and 2, you cannot earn exactly 5.6 points in any single game.

Instead, over many games, the average number of points you would earn per game would approach the expected value of 5.6. For example, if you played the game 100 times, you might earn 2000 points if you got 20 points every time, 1000 points if you got 10 points every time, or 200 points if you got 2 points every time. But if you averaged your points across all 100 games, the average should be close to the expected value of 5.6 points per game.

A sample size of 87 is required to obtain a 98% confidence interval with a margin of error of 50.

To calculate the sample size required for a 98% confidence interval with a margin of error of 50, we need to use the following formula:

n = [Z*(σ/ME)]^2

where:

n = the sample size needed

Z = the Z-score for the desired confidence level (98% or 2.33)

σ = the standard deviation of apartments for rent in the area ($200)

ME = the margin of error ($50)

Plugging in the given values, we get:

n = [2.33*(200/50)]^2

n = [9.32]^2

n ≈ 86.7

Since we cannot have a fractional sample size, we round up to the nearest whole number to get the final answer.

Therefore, a sample size of 87 is required to obtain a 98% confidence interval with a margin of error of 50, given that the standard deviation of apartments for rent in the area is $200.

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The total volume of the cubes in factored form is  (4p + 2q^2)(16p^2 -  8pq^2 + 4q^4)

The volume of a figure or a three dimensional shape is the amount of space inside the figure or the three dimensional shape

The two cubes are stacked upon one another, so they form a composite figure.

The side lengths of the cubes are given as

Cube 1 = 4p

Cube 2 = 2q^2

The volume of each cube is calculated as:

Volume = Side length^3

So, the total volume is

Total = (4p)^3 + (2q^2)^3

Evaluate the exponents

Total = 64p^3 + 8q^6

Using the sum of cubes, we have the factored form to be

Total = (4p + 2q^2)(16p^2 -  8pq^2 + 4q^4)

Hence, the total volume of the cubes in factored form is  (4p + 2q^2)(16p^2 -  8pq^2 + 4q^4)

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Complete question

A cube with side length 4p is stacked on another cube with side length 2q^2. What is the total volume of the cubes in factored form?

Answer:

B

Step-by-step explanation:

there are 30 buildings...

Answer: B

Step-by-step explanation:

In goverment  , a geographic information system (gis) is used to make the best use of personnel and equipment while dealing with a tight budget and maintaining crime statistics.

A good example of geographic segmentation is a clothing retailer that offers different products based on the weather and season in which their online customers live. Customers in New York need very different clothing during the winter months than customers in Los Angeles.

Geographic Sentence Example.Geographic isolation somewhat encourages state-owned industry I've been Living in the same geographical area all her life, she is exposed to only a small part of the biosphere. They laid a solid foundation with the publication of Charles Tissot's Geographical Comparisons (1884).

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Answer:

3.84 x 10^-19

Step-by-step explanation:

a93x

Answer:

3.84 x 10^-19

Step-by-step explanation: