Which provides stronger evidence against the null? hypothesis, a? P-value of 0.02 or a? P-value of? 0.03? Explain your answer.

Choose the correct answer below.

A. A? P-value of 0.02 provides stronger evidence than a? P-value of 0.03 because the? P-value is the probability of getting data at least as inconsistent with the null hypothesis as the actual data obtained.

B. A? P-value of 0.02 provides stronger evidence than a? P-value of 0.03 because the? P-value is the probability of getting data at least as consistent with the null hypothesis as the actual data obtained.

C. A? P-value of 0.03 provides stronger evidence than a? P-value of 0.02 because the? P-value is the probability of getting data at least as consistent with the null hypothesis as the actual data obtained.

D. A? P-value of 0.03 provides stronger evidence than a? P-value of 0.02 because the? P-value is the probability of getting data at least as inconsistent with the null hypothesis as the actual data obtained.

Answers

Answer 1

A. A P-value of 0.02 provides stronger evidence than a P-value of 0.03 because the P-value is the probability of getting data at least as inconsistent with the null hypothesis as the actual data obtained.

A smaller P-value indicates stronger evidence against the null hypothesis, as it indicates that it is less likely that the observed data is due to random chance or sampling error.

The correct answer is A.

A P-value of 0.02 indicates that there is a 2% chance of getting data as inconsistent with the null hypothesis as the actual data obtained.

This is a lower probability than a P-value of 0.03, which indicates a 3% chance of getting data as inconsistent with the null hypothesis as the actual data obtained.

Therefore, a P-value of 0.02 provides stronger evidence against the null hypothesis than a P-value of 0.03.

It's important to note that a lower P-value does not necessarily mean that the observed effect is large or practically significant. It only indicates that the observed effect is unlikely to have occurred by chance alone.

Therefore, it's important to consider both statistical and practical significance when interpreting the results of a hypothesis test.

The correct answer is A.

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Related Questions

HELP

look at the picture it says what to do.

:)

Answers

The left whisker is from 1 to 4, the 50% is 4 to 7 and the right whisker is between 7 to 10.

Given that a whiskers plot, we need to determine the left whisker, 50% and the right whisker of the plot,

We know that,

The plot divides the data into 4 equal parts. The left whisker represents the bottom 25% of the data, the left half of the box represents the second 25%, the right half of the box represents the third 25%, and the right whisker represents the top 25%.

Hence, the left whisker is from 1 to 4, the 50% is 4 to 7 and the right whisker is between 7 to 10.

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The length is 5.4 meters.
The width is 1.5 meters.
Howard will increase both the length and the width by 20% each.
Part A
What will be the perimeter, in meters, of the enlarged garden?
Enter your answer in the box.
Part B
By how many square meters will the area of the garden increase?

Answers

Answer:

Step-by-step explanation:

whats the meaning of life...

A two column table with 5 rows. The first column, x, has the entries, negative 2, 0, 2, 4. The second column, y, has the entries, 6, 3. 5, 1, negative 1. 5. Which equations represent the data in the table? Check all that apply

Answers

The equation that represents the data in the table is y = -0.5x^2 + 3.5x + 4.

To determine which equations represent the data in the table, we can plot the points given in the table and see which equations pass through all of them.

Plotting the points, we get:

(-2, 6)

(0, 3.5)

(2, 1)

(4, -1.5)

From this, we can see that the data does not lie on a straight line, so we can eliminate any linear equations.

However, we can use the method of finite differences to determine if a quadratic equation fits the data. Taking the first finite differences of the y values, we get:

(-2, 6)

(0, 3.5)

(2, 1)

(4, -1.5)

(3.5 - 6) = -2.5

(1 - 3.5) = -2.5

(-1.5 - 1) = -2.5

Since the first finite differences are constant, we know that the data can be represented by a quadratic equation.

Using the quadratic equation y = ax^2 + bx + c, we can plug in the given points to solve for a, b, and c.

Solving for a, b, and c, we get:

a = -0.5

b = 3.5

c = 4

Therefore, the equation that represents the data in the table is:

y = -0.5x^2 + 3.5x + 4

So the correct answer is:

y = -0.5x^2 + 3.5x + 4.

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Create and interpret a 95% confidence interval for each example.
6. Xavier loves to exercise by riding his bike each day. The health data on his cell phone
contains the distances he has traveled for the last year. Xavier found the average of the
past 30 days to be 8.6 miles and a standard deviations 0.2 miles.

Answers

The 95% confidence interval for Xavier's average distance traveled is (8.527, 8.673) miles, which means that we are 95% confident that the true population mean of Xavier's daily distance traveled is between 8.527 and 8.673 miles.

To create a 95% confidence interval for Xavier's average distance traveled, we can use the following formula:

[tex]CI = \bar{X} \pm z\times (\sigma /\sqrt{n } )[/tex]

Where:

[tex]\bar{X}[/tex] is the sample mean (8.6 miles)

σ is the population standard deviation (0.2 miles)

n is the sample size (30)

z is the z-score corresponding to the desired confidence level (95% confidence level corresponds to a z-score of 1.96)

Plugging in the values, we get:

CI = 8.6 ± 1.96*(0.2/√30)

CI = 8.6 ± 0.073

Therefore, the 95% confidence interval for Xavier's average distance traveled is (8.527, 8.673) miles.

Interpretation: We are 95% confident that the true population mean of Xavier's daily distance traveled is between 8.527 and 8.673 miles.

This means that if we were to repeat this study many times, we would expect the true population mean to be within this range 95% of the time.

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Brody is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange, spins a spinner with three equal-sized sections labeled Walk, Run, Stop, and spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday?

Answers

There are 60 different possible outcomes if Brody spins all three spinners.

To determine the total number of different possible outcomes when spinning three spinners, we need to multiply the number of outcomes on each spinner. The first spinner has 4 equal-sized sections, the second spinner has 3 equal-sized sections, and the third spinner has 5 equal-sized sections.

Therefore, the total number of possible outcomes is:

4 x 3 x 5 = 60

So there are 60 different possible outcomes if Brody spins all three spinners.

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if a stream drops 15 meters in 15 kilometers, what is its gradient?

Answers

The gradient of the stream is 1 meter per kilometre, which means that the stream drops 1 meter for every kilometre travelled. This is a relatively gentle slope and suggests that the stream is not flowing rapidly or eroding its bed very quickly.

The gradient of a stream is a measure of its steepness and is calculated by dividing the change in elevation by the distance travelled. In this case, the stream drops 15 meters in 15 kilometres, which means that the gradient can be calculated as follows:
Gradient = Change in elevation ÷ Distance travelled
Gradient = 15 meters ÷ 15 kilometers
Since we need to express the gradient in terms of meters per kilometre, we can simplify the above equation as follows:
Gradient = (15 meters ÷ 15,000 meters) × 1,000
Gradient = 1 meter per kilometer
Therefore,  understanding the gradient of a stream is important for a range of activities, including flood control, erosion management, and habitat restoration. By monitoring changes in the gradient over time, scientists and engineers can gain insights into the health and behaviour of streams and develop strategies to protect them.

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Simultaneous equations

Answers

The value of x is 5 and value of y is 9 in the given equations.

[tex]\frac{8^x }{ 2^y} = 64[/tex]

[tex]3^4^x \times \frac{1}{9^(^y^ -^1^)} = 81[/tex]

From the first equation

[tex]\frac{2^3^x}{2^y } = 2^6[/tex]

[tex]2^(^3^x^-^y^) = 2^6[/tex]

As bases are equal then the powers will be added

So 3x - y = 6  ..........(1)

From the second equation:

[tex]3^4^x \times 9^(^-^(^y^-^1^)^) = 3^4[/tex]

[tex]3^4^x \times 3^2^(^-^(^y^-^1^)^) = 3^4[/tex]

So 4x + 2(1 - y) = 4

4x - 2y = 2

2x - y = 1   .............(2)

Subtract: (1) - (2):

value x = 5.

and  2(5) - y = 1

so y = 9.

Hence, the value of x is 5 and value of y is 9 in the given equations.

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Use the accompanying data set to complete the following actions. a. Find the quartiles. b. Find the interquartile range. c. Identify any outliers. 60 64 63 55 56 65 65 61 57 62 62 59 60 62 77

Answers

So, the quartiles are Q1 = 59, Q2 = 62, and Q3 = 65.

IQR = Q3 - Q1 = 65 - 59 = 6.

The data set does have one outlier, The value 77.

It is above the upper outlier limit of 74.

a)To find the quartiles, we first need to arrange the data in order:

55 56 57 59 60 60 61 62 62 62 63 64 65 65 77

The median is the middle value of the data set, which is:

Median = 62

To find the first quartile (Q1), we take the median of the lower half of the data:

Q1 = Median of {55, 56, 57, 59, 60, 60, 61} = 58

To find the third quartile (Q3), we take the median of the upper half of the data:

Q3 = Median of {63, 64, 65, 65, 77} = 65

b)The interquartile range (IQR) is the difference between the third and first quartiles:

IQR = Q3 - Q1 = 65 - 58 = 7

c) To identify any outliers, we can use the rule that considers any value that falls below Q1 - 1.5 IQR or above Q3 + 1.5 IQR to be an outlier.

Lower outlier bound: Q1 - 1.5 IQR = 58 - 1.5(7) = 47.5

Upper outlier bound: Q3 + 1.5 IQR = 65 + 1.5(7) = 76.5

Since one value (77) that falls above the upper outlier bound, this value is considered an outlier.

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1.10 Select all the quantities that can be represented by 0. A. The elevation at sea level B. The elevation at the top of a mountain C. The temperature, in degrees Fahrenheit, at which water boils D. The amount of money in an account in which a person owes money E. The amount of money in an account in which a person does not have money or does not owe money (worth 100 points)​

Answers

The requried,  quantities that can be represented by 0 have been mentioned below.

The quantities that can be represented by 0 are:

A. The elevation at sea level (since sea level is defined as 0 elevations)

D. The amount of money in an account in which a person owes money (since a negative balance is represented by 0)

Therefore, the correct options are A and D.

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Audra is climbing a mountain at a constant rate her height at various times are given 11:13- 5211 1:33-5651 1:48-5981 which of the following represents the rate at which she is climbing?

A 40 feet per minute
B 30 feet per minute
C 25 feet per minute
D 22 feet per minute

Answers

With Audra climbing a mountain at a constant rate and her height at various times given as 11:13- 5211 1:33-5651 1:48-5981, she is climbing at the unit rate of D. 22 feet per minute.

What is the unit rate?

The unit rate is the ratio that compares two values or quantities.

The unit rate is also described as the slope, which is calculated as the quotient between the Rise and the Run or the speed (the quotient between the total distance and the total time).

Time    Height

11:13-     5211

1:33-     5651

1:48-     5981

Unit rate (Slope) = Rise/Run

5,981 - 5,651 = 330 feet

1:48 - 1:33 = 15 minutes

330 ÷ 15 = 22 feet per minute

Thus, we can conclude that Audra is climbing the mountain at a rate or speed of Option D. 22 feet per minute.

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STT 1.3 Sarah starts at a positive position along the x-axis. She then undergoes a negative displacement. Her final position
A is postive
B Is negative
C Could be either positive or negative

Answers

Sarah's final position would be negative. Therefore, option B is the correct answer.

Given that, Sarah starts at a positive position along the x-axis. She then undergoes a negative displacement.

A negative displacement means that Sarah has moved backward along the x-axis, so her final position would be negative.

Therefore, option B is the correct answer.

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Assume the distribution of IQ scores for adults can be modeled with a normal distribution with a mean score of 100 points and a standard deviation of 10 points. What percentage of adults have an IQ score between 92 and 112 points?

Answers

The percentage of adults who have an IQ score between 92 and 112 points using the z score is 33.59%.

Given that,

Assume the distribution of IQ scores for adults can be modeled with a normal distribution with a mean score of 100 points and a standard deviation of 10 points.

μ = 100 and σ = 10

We have, z score, z = (x - μ) / σ

For x = 92,

z = (92 - 100) / 10 = -0.8

For x = 112,

z = (112 - 100) / 10 = 0.12

Percent corresponds to the left of z = -0.8 is 0.2119.

Percent corresponds to the left of z = 0.12 is 0.5478.

Required percent = 0.5478 - 0.2119 = 0.3359 = 33.59%

Hence the required percentage is 33.59%.

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At what age do many children have the ability to do simple arithmetic problems?
a. Early childhood
b. Middle childhood
c. Infancy
d. Toddler

Answers

Many children develop the ability to do simple arithmetic problems during their early childhood years, typically between the ages of 4 and 6. Correct option is a).

During this time, children start to understand basic mathematical concepts such as counting, addition, and subtraction. They may also begin to recognize and name numbers and use basic math vocabulary. However, it's important to note that every child develops at their own pace and some may show these skills earlier or later than others. It's also important for parents and caregivers to provide opportunities for children to practice and reinforce these skills through activities such as counting objects, playing number games, and solving simple math problems.

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the radius of a cylinder is 9 inches and the height is 11 inches how much grain could it hold

Answers

Answer:

to know how much grain the cylinder can contain/hold you calculate the volume of the cylinder.

Step-by-step explanation:

volume= πr^2h

=π×9^2×11

=891π inches cube/2799.16 inches cube

Help my sister, please answer fast and whoever does first, GETS BRAINLIEST

Answers

Answer: The answer is D

Step-by-step explanation:

Brainliest Please! Good luck to your sis!

Answer: 9 inches is correct

Step-by-step explanation: 1 and half times 6 = 9 so your answer was correct.

Hope this helps!

At a certain shop, DVDs cost $10 and CDs cost $8. Andrew goes into the shop
with $40 to spend.If
x = the number of DVDs
y = the number of CDs
which Andrew buys, explain why
and
10x + 8y ≤ 40
Explain why x ≥ 0 and y ≥ 0.
Draw a graph to show the region which satisfies all three inequalities.

Answers

The reason why x ≥ 0 and y ≥ 0 is simply because the number of DVDs and the number of CDs cannot not be less than zero and the shop cannot have zero products.

A graph which shows the region that satisfies all three inequalities is shown below.

How to determine the number of DVDs and CDs?

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of DVDs and the number of CDs, and then translate the word problem into an algebraic equation (linear inequalities) as follows:

Let the variable x represent the number of DVDs.Let the variable y represent the number of CDs.

Since the cost of a DVD is $10 and the cost of a CD is $8 and Andrew goes into the shop with $40 to spend, a system of linear inequalities that models the situation and constraints is given by;

x ≥ 0

y ≥ 0

10x + 8y ≤ 40

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What is the tenth term?

1) 1, 2, 8, 14, 20

2) 15, 23, 31,

Find the missing term:

3) 4, __, 22,

4) 25, __, 53,​

Answers

The solution to each of the arithmetic sequence are:

1) a₁₀ = 56

2) a₁₀ = 87

3) missing term is 13

4) missing term is 14

What is the nth term of the arithmetic sequence?

The formula for the nth term of an arithmetic sequence is:

aₙ = a + (n - 1)d

where:

a is first term

n is nth term

d is common difference

1) a = 2

d = 6

a₁₀ = 2 + (10 - 1)6

a₁₀ = 2 + 54

a₁₀ = 56

2) a = 15

d = 8

a₁₀ = 15 + (10 - 1)8

a₁₀ = 87

3) The missing term will be gotten by finding the common difference.

d = (22 - 4)/2

d = 18/2

d = 9

missing term = 4 + 9 = 13

4) The missing term will be gotten by finding the common difference.

d = (53 - 25)/2

d = 28/2

d = 14

missing term = 4 + 9 = 14

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The scores on a standardized test are normally distributed with a standard deviation of 75. The z score of a student who scored 662.5 was 1.5. If 300 students took the test, how many scored less than 475?

Answers

Answer:   48

This value is approximate.

============================================

Explanation:

mu = population mean = unknown for nowsigma = population standard deviation = 75x = score on the test

We need to determine mu.

We'll use the fact x = 662.5 pairs up with z = 1.5

z = (x - mu)/sigma

1.5 = (662.5 - mu)/75

1.5*75 = 662.5 - mu

112.5 = 662.5 - mu

112.5 + mu = 662.5

mu = 662.5 - 112.5

mu = 550

----------

Then compute the z score when x = 475

z = (x - mu)/sigma

z = (x - 550)/75

z = (475 - 550)/75

z = -1

----------

Use a Z table to determine that

P(Z < -1) = 0.15866

which is approximate.

About 15.866% of the 300 students scored less than 475.

0.15866*300 = 47.598 which rounds to 48 and it is the final answer.

Let U= {1, 2, 3, 4, 5, 6, 7}, A= {1, 2, 5, 7}, and B= {1, 4, 5}. Find the set A' ∩ B'.
A' ∩ B'= {___}
hint: all elements in U that are not present in A or B.

Answers

The set A' ∩ B' contains the elements 3 and 6, which are all the elements in U that are not in sets A or B.

The complement of set A, denoted by A', contains all elements in the universal set U that are not in A. Similarly, the complement of set B, denoted by B', contains all elements in U that are not in B. Therefore, we have:

A' = {3, 4, 6}

B' = {2, 3, 6, 7}

To find the intersection of A' and B', we need to find the elements that are common to both sets. In this case, the common elements are 3 and 6, so:

A' ∩ B' = {3, 6}

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Jamal has 44 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The are of the land is 192 square meters. List each set of possible dimensions (length and width) of the field.

Answers

The two sets of possible dimensions for the rectangular plot are 12 m by 20 m, and 10 m by 24 m

A three-sided fence and the fourth side is the river, the perimeter will be:

P = 2L + W = 44 - L

where L is the length of the rectangular plot and W is the width.

We can simplify this equation by solving for W:

W = 44 - 2L - W

W = 44 - 2L

Next, we can use the area of the land to set up another equation:

A = LW = 192

Substituting the expression for W from the first equation into the second equation gives:

L(44 - 2L) = 192

-2L² + 44L - 192 = 0

Dividing both sides by -2 gives:

L² - 22L + 96 = 0

We can now use the quadratic formula to solve for L:

L = 12 or 10

So the possible dimension lengths of the rectangular plot are 12 m or 10 m.

We can use the first equation to find the corresponding widths:

W = 44 - 2L

For L = 12:

W = 44 - 2(12) = 20

So one set of possible dimensions is 12 m by 20 m.

For L = 10:

W = 44 - 2(10) = 24

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(T/F) If α (alpha) increases, β (beta) decreases in a test of hypothesis.

Answers

True. In a test of hypothesis, if alpha (α) increases, beta (β) decreases. Alpha represents the probability of committing a Type I error, which occurs when the null hypothesis is rejected even though it is actually true.

Beta represents the probability of committing a Type II error, which occurs when the null hypothesis is not rejected even though it is false.

When alpha increases, it means we are more willing to reject the null hypothesis, thus making Type I errors more likely. As a result, the probability of making a Type II error (beta) decreases since we are less likely to accept the null hypothesis when it is false.  The relationship between alpha and beta in a test of hypothesis is complex and depends on several factors. It is not accurate to simply state that if alpha increases, beta decreases (or vice versa) without considering the context of the specific hypothesis test being performed.

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Given the related graph 0=-(x+2) 2+3

Answers

Answer:

it’s D

Have a Nice Best Day : )

-9d-4p-6-10d+8
pls i need help !!

Answers

-19d-4p+2

thats your answer
combine like terms

Answer:

-19d-4p+2

Step-by-step explanation:

This is very simple, we can rearrange this expression to make it easier to do the properties:

-9d-10d-4p-6+8

Next, we can subtract:

-19d-4p+2

This is the final expression, hope this helped :)

True or false: A Bernoulli experiment has three possible outcomes.

Answers

The given statement "A Bernoulli experiment has three possible outcomes." is False because a Bernoulli experiment only has two possible outcomes, which are often denoted as success or failure.

For example, flipping a coin is a Bernoulli experiment since the outcome can either be heads or tails. Rolling a die is not a Bernoulli experiment since it has more than two possible outcomes.

The outcome of a Bernoulli experiment is usually modeled by a random variable that takes on the value 1 if the experiment is a success and 0 if the experiment is a failure. The probability of success in a Bernoulli experiment is often denoted by p, while the probability of failure is denoted by q = 1 - p.

Bernoulli experiments are the building blocks for many other probability distributions and are often used to model real-world situations, such as whether a person will respond to a survey question with a "yes" or "no" answer, or whether a machine will produce a defective item during a manufacturing process.

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The table below gives the height h=f(t) in feet of a weight on a spring where t is time in seconds. T (sec) 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30

h (feet) 4. 8 6. 6 7. 6 7. 8 7. 6 6. 6 4. 8 3 2 1. 8 2 3 4. 8 6. 6 7. 6 7. 8

what is the period

Answers

The period of the function is 30 seconds.

The distance between the repetition of any function is called the period of the function. For a trigonometric function, the length of one complete cycle is called a period.

The period of a function is the length of one complete cycle or oscillation. In this case, the function represents the height of a weight on a spring as a function of time. To determine the period, we need to identify the time it takes for the function to repeat.

Looking at the given table, we can observe that the values of t repeat after 30 seconds. From t = 0 to t = 30, the function completes one full cycle.

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Fill in the blank. A(n) ---------- is the process that leads to a single outcome that cannot be predicted with certainty.
A. event B. sample point C sample space D. experiment

Answers

An experiment is a process in which an observation or measurement is made to determine the outcome. So, the correct answer is D.

However, the outcome cannot be predicted with certainty since there may be many variables at play. For example, rolling a die is an experiment, and while it is predicted that the outcome will be one of the six possible values, there is no certainty which value will be obtained until the die is rolled. A sample space represents all possible outcomes, and a sample point is a specific outcome within the sample space. Therefore, an experiment involves a process that can lead to different outcomes, and the specific outcome cannot be predicted with complete certainty.

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FInd the volume of a right circular cylinder in terms of height "h" and simplify the expression where r = 3/4h

Answers

The volume of the right circular cylinder in terms of height "h" is (9π/16)h^3.

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base.

To find the volume of a right circular cylinder, we use the formula:

V = πr^2h

Given that r = 3/4h, we can substitute this value into the formula:

V = π(3/4h)^2h

Simplifying the expression inside the parentheses:

V = π(9/16h^2)h

Expanding further:

V = (9π/16)h^3

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If Kenny heart beats an average of 1 x 10 to the 2 power timer per min about how many times dose Kenny heart beat in a year

Answers

Answer: There are different ways to approach this problem, but one possible method is:

First, we need to know how many minutes there are in a year. Since a year has 365 days (or 366 days in a leap year), we can multiply this by the number of minutes per day:

365 days/year × 24 hours/day × 60 minutes/hour = 525,600 minutes/year (non-leap year)

Next, we can use the given average heart rate of 1 × 10^2 beats per minute to calculate the total number of heart beats in a year:

1 × 10^2 beats/minute × 525,600 minutes/year = 52,560,000 beats/year

Therefore, Kenny's heart beats about 52,560,000 times in a non-leap year if his average heart rate is 1 × 10^2 beats per minute.

Work out the missing angle x. Give your answer to 1 d.p or better.

Answers

The value of x is 34.9cm( 1d.p)

What is diagonal property of rectangle?

A diagonal is the line segment that join two opposite vertices.A diagonal of a rectangle divides it into two congruent right triangles. The diagonals of a rectangle are the same length.

angle C = angle D

therefore 52+C +D = 180

2C = 180-52

C = 64°

To find BD

sin64/OD = sin52/17

OD = sin64 × 17/sin52

= 15.3/0.788

= 19.4

BD = 2 × 19.4 = 38.8

x = √ 38.8²-17²

x = √1505.44 - 289

x = √1216.44

x = 34.9 cm( 1 d.p)

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Bowling team at Lincoln High School must choose a president, vice dent, and secretary. If the team has 15 members, how many ways could fficers be chosen ?

Answers

The number of ways to choose a president, vice-president, and secretary from a group of 15 people is the number of permutations of 15 people taken 3 at a time.

The formula for permutations of n objects taken r at a time is given by:

P(n, r) = n! / (n - r)!

Using this formula, we can calculate the number of ways to choose 3 officers from a group of 15:

P(15, 3) = 15! / (15 - 3)! = 15! / 12! = 15 x 14 x 13 = 2,730

Therefore, there are 2,730 ways to choose a president, vice-president, and secretary from a group of 15 people.
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