A man trying to improve his health wanted to see if there was a linear relationship between how many miles he ran and his heart rate in beats per minute. After recording how many miles he ran and his heart rate for 12 different days he created this 95% confidence interval for 3 miles (160,180). The twelve different days could be considered a random sample of all of his run days. Which of these options below is the best interpretation of the confidence interval?


a. It can be stated with 95% confidence that his average heart rate after running 3 miles is between 160 and 180 beats per minute.

b. 95% of all people who run 3 miles will have a heart rate between 160 and 180 beats per minute.

c. It can be stated with 95% confidence that of the 12 days sampled every time he ran 3 miles his heart rate was between 160 and 180 beats per minute

d. It can be stated with 95% confidence that every time he has a heart rate between 160 and 180 beats per minute he will have just run 3 miles

The coordinate of point 3 / 10 away from A in the direction of AB is (6, 4).

Section formula is used in Coordinate geometry to find the ratio between two points on a line given one another point on the line.

Given that,

AB is a line segment.

The coordinate of A is (-4, -6) and that of B is (9, 7).

The distance of the point C 3 / 10 from A is 7 / 10 from B.

Suppose the point is C and its coordinate is (x, y).

Thus, the point c divides AB in the ratio AC : CB = 3 : 10.

Now, use section formula to get the coordinate of the given point as,

x = (mx₁ + nx₂) / (m + n)  and y = (my₁ + ny₂) / (m + n)

Substitute the respective values to get the coordinates of C as,

x = (3 × -4 + 10 × 9) / (3 + 10)  and y = (3 × -6 + 10 × 7) / (3 + 10)

⇒ x = 6 and y = 4

Hence, the coordinate of the given point is (6, 4).

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The outstanding balance right after the 12th payment has been made is approximately $17,752.60.

To find the loan amount L, we can calculate the present value of the future payments using the given interest rate and payment schedule.

First, let's calculate the present value of the first 16 payments of $1,000 each. These payments occur at the end of each month. We'll use the formula for the present value of an ordinary annuity:

\(PV = P * [1 - (1 + r)^(-n)] / r\)

Where:

PV = Present value

P = Payment amount per period

r = Interest rate per period

n = Number of periods

Using the given interest rate of 12% per year compounded monthly (1% per month) and 16 payments, we have:

PV1 = $1,000 * [1 - (1 + 0.01)^(-16)] / 0.01

Calculating this expression, we find that PV1 ≈ $12,983.67.

Next, let's calculate the present value of the final 8 payments of $2,000 each. Again, using the same formula, but with 8 payments, we have:

PV2 = $\(2,000 * [1 - (1 + 0.01)^(-8)] / 0.01\)

Calculating this expression, we find that PV2 ≈ $14,148.70.

The loan amount L is the sum of the present values of the two sets of payments:

L = PV1 + PV2

≈ $12,983.67 + $14,148.70

≈ $27,132.37

Therefore, the loan amount L is approximately $27,132.37.

Next, to find the outstanding balance right after the 12th payment has been made, we can calculate the present value of the remaining payments. Since 12 payments have already been made, there are 12 remaining payments.

Using the same formula, but with 12 payments and the loan amount L, we can calculate the present value of the remaining payments:

Outstanding Balance = L * [1 - (1 + 0.01)^(-12)] / 0.01

Substituting the value of L we found earlier, we have:

Outstanding Balance ≈ $27,132.37 * [1 - (1 + 0.01)^(-12)] / 0.01

Calculating this expression, we find that the outstanding balance right after the 12th payment has been made is approximately $17,752.60.

Therefore, the outstanding balance right after the 12th payment has been made is approximately $17,752.60.

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Answer:

9 and 10

Step-by-step explanation:

39/4 equals 9.75, meaning it is in between 9 and 10

Answer:

$2.2

Step-by-step explanation:

so first you divide 250 by 67.50 whatever that is is the answer

Answer: Can you tell me how do you want it answered?

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

10x + 30 = 8x + 48

-8x = -8x

______________

2x +30 =48

-30= -30

__________

2x/2 = 18/2

x = 9

Answer:

I have answered this question before it is A on the paper

Answer:

Area: 391.92 ft²

Perimeter: 84.4 ft

Step-by-step explanation:

Area of rectangle = L × W

We Take

13.8 × 28.4 = 391.92 ft²

Find the Perimeter of the Rectangle

We Take

28.4 + 13.8 + 28.4 + 13.8 = 84.4 ft

So, Area: 391.92 ft²

     Perimeter: 84.4 ft

Answer:

Area = 391.92 square feet

Perimeter = 84.4 feet

Step-by-step explanation:

The area of a rectangle is the product of its width and length.

The perimeter of a rectangle is twice the sum of its width and length.

Given the width of the rectangle is 28.4 feet and its length is 13.8 feet:

\(\begin{aligned}\textsf{Area of the rectangle}&=\sf width \times length\\&=28.4 \times 13.8\\&=391.92 \sf \;\;square\;feet\end{aligned}\)

\(\begin{aligned}\textsf{Perimeter of the rectangle}&=\sf 2(width +length)\\&=2(28.4 +13.8)\\&=2(42.2)\\&=84.4 \sf \;\;feet\end{aligned}\)

There is a total number of 5 + 3p pets in altogether

From the question, we have the following parameters that can be used in our computation:

Cats = 5

Dogs = 3p

The total number of pets is the sum of the number of dogs and the number of cats

This is represented as

Pets = Cats + Dogs

Substitute the known values in the above equation

So, we have the following equation

Pets = 5 + 3p

The above equation cannot be further simplified

Hence, the expression is 5 + 3p

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Answer:

4 Hot dogs packages and 5 hot dog buns packages.

Step-by-step explanation:

This question seems to be regarding the LCM or the least common multiple. Least common multiple is found by figuring out the first time when both numbers, in this case 10 and 8 have the multiple. You can do this by setting up a table with the multiples of each number.

8  | 16 | 24 | 32 | 40

10 | 20| 30 | 40

We can see that the LCM is 40 so we can see that we need 4 Hot Dog packets and 5 buns packets.

Answer:

89,000 I think

Step-by-step explanation:

just subtract 125,000 by 36,000

although Its a guess

Answer:

$89,000

Step-by-step explanation:

To find your equity, subtract the outstanding balance from your home value:

125,000 - 36,000

= 89,000

So, your equity is $89,000

Answer:

A:(1/3x)+(x-2/4x^2+9)

Step-by-step explanation:

Edg2022

Answer:

the number that appears the most in a data set

Step-by-step explanation:

example

3,4,5,2,3,3,3,7,7

Mode:3

A poster is being designed that is to contain 2 150. In of printed material with margins of 2 inches at the top and bottom and 3 inches at each side. the dimensions that will minimize the amount of paper used is that should be 12 inches wide by 6 inches tall.

The margins are 2 inches at the top and bottom and 3 inches at each side. The margins are then added to the two 150s, making a total width of 12 inches and a total height of 6 inches. This is the minimum amount of paper that can be used for the poster.   In order to minimize the amount of paper used, it is important to consider the size of the margins.

The margins should be kept as small as possible in order to maximize the amount of space available for the printed material. Generally speaking, a margin of 1 inch is sufficient for most printed materials. If a larger margin is necessary, then the overall dimensions of the poster should be adjusted accordingly.

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Answer:

i think -1/26

Step-by-step explanation:

(y2 - y1) / (x2 - x1)

(-15+16) /(-7-19)

1/-26

The minimum number of candidates required to ensure that 2 candidates will have the same score is 31. Answer: \boxed{31}.

We are given that 20 problems in a mathematics competition. The scores of each problem are allocated in the following ways: 3 marks will be given for a correct answer, 1 mark will be deducted from a wrong answer, and 0 marks will be given for a blank answer.

We have to find the minimum number of candidates required to ensure that 2 candidates will have the same scores in the competition.Let's use the Pigeonhole Principle to solve the problem. In this case, the pigeons are the possible scores and the holes are the candidates.

The range of possible scores is 0 to 60 (inclusive). A score of 60 is possible if all 20 problems are solved correctly, and a score of 0 is possible if none of the problems are solved correctly.

Therefore, there are 61 possible scores: 0, 1, 2, 3, ..., 59, 60.To ensure that 2 candidates have the same score, we need at least 2 candidates to have each score.

The minimum number of candidates required is therefore the smallest integer n that satisfies:2n > 61n > 30.5The smallest integer greater than 30.5 is 31.

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Answer: 2.5%

Step-by-step explanation:

60 divided by 24 equals 2.5

Answer:

24

Since they washed a total of 60 cars, then according to the question they washed 40%(40 per cent) of 60 cars on Sunday.

Per

c

e

n

t

is simply per

h

u

n

d

r

e

d

or out of

h

u

n

d

r

e

d

.

We have to find out 40% of 60, which is

40

100

×

60

This is equal to

2400

100

=

24

00

1

00

=

24

Step-by-step explanation:

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The statement a base class cannot contain a pointer to one of its derived classes is false because a base class can indeed contain a pointer to one of its derived classes.

In object-oriented programming, a base class can have a pointer to one of its derived classes. This is known as upcasting or polymorphism. Upcasting allows for the flexibility of treating derived class objects as instances of the base class.

By using pointers, a base class can refer to derived class objects and access their member functions and variables. This enables the base class to work with different derived classes without needing to know their specific types.

Pointers to derived classes can be stored in base class member variables or passed as function parameters. This allows for dynamic binding and the ability to invoke overridden functions based on the actual derived class type at runtime.

This concept is fundamental to achieving polymorphism and code reusability in object-oriented programming languages like C++ and Java. It facilitates the implementation of inheritance hierarchies and the ability to work with objects of different derived classes through a common base class interface.

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Answer:

1. 17

2.-62

3.1000

4.74

5.37

According to the given information, the noise level in a restaurant is normally distributed with an average of 30 decibels. To find the value below which 99% of the time the noise level is, we need to use the Z-table.

We know that 99% of the area under the normal curve is below a Z-score of 2.33 (found from the Z-table).

To find the corresponding noise level value, we use the formula:

Z-score = (X - μ) / σ

where X is the noise level value we want to find, μ is the average (30 decibels), and σ is the standard deviation (which is not given in this question).

However, we can use the empirical rule (68-95-99.7 rule) to estimate the standard deviation. According to the rule, 99.7% of the data falls within 3 standard deviations of the mean. So, if 99% of the time the noise level is below a Z-score of 2.33, then we can estimate that the standard deviation is approximately:

(2.33 x σ) = 3

Solving for σ, we get:

σ = 3 / 2.33 = 1.29 (approx.)

Now we can use the formula above to find the noise level value below which 99% of the time the noise level is:

2.33 = (X - 30) / 1.29

X - 30 = 2.33 x 1.29

X = 33.01

So, 99% of the time, the noise level in the restaurant is below 33.01 decibels (rounded to two decimal places).

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The value of k that makes the function continuous is k = 5 = 1.

To find the value of k that makes the function continuous, let's consider a function defined by different pieces:

\(\[ f(x) = \begin{cases} x^2 + 1 & \text{if } x < 2 \\ k & \text{if } x = 2 \\ 2x - 3 & \text{if } x > 2 \\ \end{cases}\]\)

For the function to be continuous at x = 2, we need the following conditions to be satisfied:

1. The limit of f(x) as x approaches 2 from the left (x < 2) should be equal to the value of f(x) at x = 2.

2. The limit of f(x) as x approaches 2 from the right (x > 2) should be equal to the value of f(x) at x = 2.

Let's evaluate these limits:

\(\[\lim_{{x \to 2^-}} (x^2 + 1) = 2^2 + 1 = 5\]\\$\[\lim_{{x \to 2^+}} (2x - 3) = 2(2) - 3 = 1\]\)

To ensure continuity, these limits must be equal to the value of f(x) at x = 2, which is k. Therefore, we have k = 5 = 1.

Hence, the value of k that makes the function continuous is k = 5 = 1.

Complete Question - Find the value of k that makes the function continuous by considering a function defined by different pieces.

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The average rate of change of g over the interval [-2, 4] is 4

The equation of the function is given as:

g(x) = 4x + 7

Calculate the value of the functions

g(-2) and g(4)

So, we have:

g(-2) = 4 * -2 + 7 = -1

g(4) = 4 * 4 + 7 = 23

The average rate of change of g over the interval [-2, 4] is then calculated as:

Rate = g(4) - g(-2)/4 - 2

This gives

Rate = (23 + 1)/(4 + 2)

Evaluate

Rate = 4

Hence, the average rate of change of g over the interval [-2, 4] is 4

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Complete question

g(x) = 4x + 7

What is the average rate of change of g over the interval [-2, 4]?

Answer: B. Using spreadsheets to plan budgets

Step-by-step explanation: yes

Answer:

A. 35 days

B. 84 days

C. Could be anything, depening on what n is replaced with.

Step-by-step explanation:

Just multiply 7 by how many weeks, because 7 days are in a week.

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Answer:

false negatives - 2%

false positives - 3%

Step-by-step explanation:

Here is the complete question :

A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.

% of results will be false negatives, and % of results will be false positives.

False negative means a negative result which in actuality it is positive

False negative = 100% - percent of positive result

100% - 98% = 2%

False positive result means a positive result which in actuality is negative

False positive = 100% - percent of false positive

100 - 97 = 3%

Answer:

All three products were already rounded to the nearest 5g.

"Algebra made Easy" 450g

“Terrible Trigonometry" 95g

Wrapping 120g

867.107844 Is the maximum Jemima might have to pay to post the parcel.

Step-by-step explanation:

510 divided by 79 = 6.455g per 510g

665g total of products so divide 665 by 510 now to get 1.30392157g per weight which brings us to the maximum total of 867.107844

Answer:

Write it in it’s factored form

Step-by-step explanation:

For more info you can look it up.

Answer:6

Step-by-step explanation:

The maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD is 434 kips.

The maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD,

where

D = 100k,

L = 140k, L < 100psf,

Lr = 40k,

W = +160k or −100k, and

E = +180k or −125k is given below:

Design load = 1.2D + 1.6(Lr or S or R) + 0.5(L + Lr or R) + (W or E)

Here, D is the weight of dead load, L is the weight of live load, Lr is the weight of the roof live load, W is the weight of wind load and E is the weight of earthquake load.

Therefore, for the given loads,

D = 100k

L = 140k

Lr = 40k

W = +160k or −100k

E = +180k or −125k

Max load = 1.2D + 1.6(Lr) + 0.5(L + Lr) + W

= 1.2 (100) + 1.6 (40) + 0.5 (140 + 40) + 160

= 120 + 64 + 90 + 160

= 434 kips

Therefore, the maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD is 434 kips.

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