Need help understanding

False. In a hypothesis test for a mean, if the p-value is 0.13 and the level of significance (α) is 0.05, we fail to reject the null hypothesis.

When conducting a hypothesis test, the p-value is compared to the level of significance (a) to determine whether or not to reject the null hypothesis. The null hypothesis is typically the hypothesis that there is no significant difference between two groups or variables.

Know more about the hypothesis test

https://brainly.com/question/15980493

#SPJ11

He run on Thursday is 3.75 miles.

Algebra helps in converting a mathematical statement into an equation. We know if we have ‘more’ or ‘sum’ in the given sentence we use addition operation (+) . Similarly If we have ‘less’ or ‘difference’ we use subtraction (−) . If we have a ‘quotient’ we use division operation (÷) . To define more generalized terms; we use algebra. It is a very vast branch of mathematics and is used in all the branches of mathematics like polynomial, linear equations, graphs, etc. and in daily life too.

Now, Gavriel ran 5 miles on Wed

and,  On Thursday, he ran 3/4 as far.

We have to find the how far did he run on Thursday.

On Thursday , The distance will be:

=> 5 × 3/4

=> 15/4

=> 3.75 miles

Learn more about Distance at:

https://brainly.com/question/15172156

#SPJ4

The value of m = 4 satisfies the equation 9 raised to 2m divided by 9 raised to - 5 is equal to 9 raised to 13​.

Exponents are a type of mathematical notation used to describe repeated multiplication of a single integer. Exponents are sometimes referred to as powers or indexes. The exponent, which denotes how many times the base number should be multiplied by itself, is represented as a superscript to the right of the base number.

From the given statement the algebraic expression is:

\(9^{(2m)} / 9^{(-5)} = 9^{13}\)

Using the rule of exponents:

\(9^{(2m + 5)} = 9^{13}\)

2m + 5 = 13

2m = 8

m = 4

Hence, m = 4 is the value that satisfies the equation 9 raised to 2m divided by 9 raised to - 5 is equal to 9 raised to 13​.

Learn more about exponents here:

https://brainly.com/question/3009444

#SPJ1

A plot that will present the information that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc. : histogram

In this question, we have been given the tree heights recorded on a school campus.

A science teacher wants to choose a data display that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc.

We need to find a correct plot that will present the information in this way.

We know that in bar charts, each bar represents one value(category). And  in a histogram, each bar will represent a continuous data

Therefore, a plot that will present the information that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc. : histogram

Learn more about the histogram here:

https://brainly.com/question/16922467

#SPJ1

Answer:

Step-by-step explanation:

A plot that will display information highlighting the number of trees in a range of heights, such as 60-64, 65-69, and so on: histogram

We were provided the tree heights reported on a school grounds in this question. A science instructor needs to select a data presentation that will show how many trees are in a given height range, such as 60-64, 65-69, and so on. We must find a suitable plot to portray the data in this manner. We know that each bar on a bar chart represents one value (category). And each bar in a histogram represents continuous data.

we can conclude that f'(0) does not exist because the limit of the difference quotient as x approaches 0 does not exist.

To determine whether the derivative of f(x), denoted as f'(0), exists at x = 0, we need to check if the limit of the difference quotient exists as x approaches 0.

The difference quotient formula for the derivative is:

f'(a) = lim (h->0) [(f(a + h) - f(a))/h]

In this case, we need to evaluate f'(0), so our formula becomes:

f'(0) = lim (h->0) [(f(0 + h) - f(0))/h]

Substituting the definition of f(x) into the formula, we have:

f'(0) = lim (h->0) [(0 + h * sin(1/(0 + h)) - 0)/h]

Simplifying the expression further, we get:

f'(0) = lim (h->0) [h * sin(1/h)/h]

Canceling out h in the numerator and denominator, we have:

f'(0) = lim (h->0) [sin(1/h)]

Now, as h approaches 0, the value 1/h approaches infinity. As sin(1/h) oscillates between -1 and 1 for all non-zero values of 1/h, the limit of sin(1/h) as h approaches 0 does not exist.

To know more about derivative visit:

brainly.com/question/29096174

#SPJ11

The answer  is 4 - 4yi + y2, .We need to expand it using the rules of exponents.

We need to expand the expression (2 - yi)2 using FOIL (First, Outer, Inner, Last). (2 - yi)2 = (2 - yi)(2 - yi)
= 2(2) - 2(yi) - y(i)(2) + (yi)(i)
= 4 - 4yi + yi2
= 4 - 4yi + y2
So the simplest form of (2 - yi)2 is 4 - 4yi + y2.

To find the simplest form of (2 - yi)², where i is the imaginary unit, you need to expand and simplify the expression. First, you'll apply the formula (a - b)² = a² - 2ab + b². In this case, a = 2 and b = yi. After applying the formula, you'll get (2)² - 2(2)(yi) + (yi)². Next, you'll simplify each term. (2)² = 4, -2(2)(yi) = -4yi, and (yi)² = (y²)(i²). Since i² = -1, then (yi)² = -y². Finally, combining the terms, you'll have 4 - 4yi - y² as the simplest form of (2 - yi)².

To know more about exponents visit:-

https://brainly.com/question/26112472

#SPJ11

Answer:

1. 5⁰

2. 85⁰

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

x - 12 + 5x = 90

6x - 12 = 90

6x = 102

x = 17

so angle 1 = (17) - 12 = 5 degrees

Angle 2 = 5(17) = 85 degrees

The problem asks us to find the derivative of the function f(x) = 3x + 4/(x^2 + 1) at x=0. We can compute this derivative by applying the sum rule and quotient rule of differentiation.

The sum rule states that the derivative of a sum of functions is equal to the sum of their derivatives. Therefore, we can differentiate 3x and 4/(x^2+1) separately and add them together. The derivative of 3x is simply 3, since the derivative of x with respect to x is 1.

For the second term, we use the quotient rule, which states that the derivative of a quotient of functions is equal to (the derivative of the numerator times the denominator minus the numerator times the derivative of the denominator) divided by the square of the denominator. Applying the quotient rule to 4/(x^2+1), we get (-4x)/(x^2+1)^2.

Substituting x=0 into this expression gives:

(-4(0))/(0^2+1)^2 = 0

Therefore, the derivative of f(x) at x=0 is:

f'(0) = 3 + 0 = 3.

In other words, the slope of the tangent line to the graph of f(x) at x=0 is 3. This means that if we zoom in very close to the point (0, f(0)), the graph of f(x) will look almost like a straight line with slope 3 passing through that point.

Learn more about derivative here:

https://brainly.com/question/29020856

#SPJ11

Answer:

c

Hope it helps :)

The rational numbers which can be written with denominator less than 3 in roster form :  { 1, 2, 3, 4 ,5 ,6 ,7, 8, 9, 10, 11, 12, 13 ...} and set- builder notation : {x : \(\frac{x}{n}\) , where n < 3}

In mathematics, a set can be represented by its elements or its members' required attributes can be described. This is known as set-builder notation.

A set's contents can be expressed by listing each element of the set, each separated by a comma, inside a pair of curly brackets. Roster form refers to this method of describing a set.

All rational numbers can be written with denominator less than 3 because doubling a number and dividing it by 2 gives the number itself and 2 is less than 3.

Roster notation : { 1, 2, 3, 4 ,5 ,6 ,7, 8, 9, 10, 11, 12, 13 ...}

Set- builder notation : {x : \(\frac{x}{n}\) , where n < 3}

To learn more about roster and set-builder form visit the below link,

https://brainly.com/question/13642904

#SPJ4

Answer:

40words

Step-by-step explanation:

Answer: 40

Step-by-step explanation: I Took The Test

i) If you already know that 88 out of 100 people developed immunity, then you can simply use this information to estimate the proportion of the population that will develop immunity with a margin of error of 0.03. In this case, the sample size is not relevant because you already have the information you need.

ii) If you do not have any estimate of the proportion of people who will develop immunity, then you will need to collect a sample and use this sample to estimate the proportion of the population that will develop immunity. To determine the minimum sample size needed, you will need to consider the desired margin of error and the level of confidence you want to have in your estimate.

To calculate the minimum sample size needed, you can use the following formula:

n = (Z² × p × (1 - p)) / (ME²)

where:

For example, if you want to estimate the proportion of the population that will develop immunity with a 95% confidence level and a margin of error of 0.03, you would use a z-score of 1.96 and plug the values into the formula like this:

n = (1.96² × 0.5 × (1 - 0.5)) / (0.03²) = 384

This would mean that you would need a sample size of at least 384 to estimate the proportion of the population that will develop immunity with a margin of error of 0.03 and a 95% confidence level.

Learn more about margin of error:
https://brainly.com/question/27451690

#SPJ4

Answer:

125℅

Step-by-step explanation:

40/32 x 100℅=125℅

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

Work Shown:

a^2+b^2 = c^2

15^2+20^2 = 25^2

225+400 = 625

625 = 625

Since the last equation is true, this makes the first equation true for those a,b,c values. Therefore, by the pythagorean theorem converse, this is a right triangle.

Side note: c is always the longest side.

Answer:

hb≈1.89in

Step-by-step explanation:

Answer:

1, 3, and 4

I just did the assignment. Hope this helps!

Answer: yes, 1, 3, and 4

Step-by-step explanation:

Sherie can ensure that the frame's corners will be right angles by using the Pythagorean theorem to measure the diagonals of the frame. If the diagonals are equal in length, then the corners will be right angles.

To explain the process in detail, Sherie can follow these steps:

1. Start by laying out the stretcher bars in the shape of a rectangle, with two bars parallel to each other forming the longer sides and the other two bars parallel to each other forming the shorter sides.

2. Take a ruler and measure 12 inches along one of the longer sides, and mark that point.

3. From the marked point, measure 9 inches along one of the shorter sides, and mark that point as well. This creates a right angle.

4. Now, measure the distance between the two marked points. This will be the length of one of the diagonals of the frame.

5. Next, measure the distance between the other two corners of the frame. This will be the length of the other diagonal of the frame.

6. Finally, compare the lengths of the two diagonals. If they are equal, then the corners of the frame will be right angles.

By using the Pythagorean theorem (a^2 + b^2 = c^2), where 'a' and 'b' are the lengths of the sides of the rectangle, and 'c' is the length of the diagonal, Sherie can ensure that the frame's corners are right angles.

Visit here to learn more about Pythagorean theorem:

brainly.com/question/14930619

#SPJ11

Answer:

20 millimeters.

Step-by-step explanation:

To find the radius of a circle with circumference, you must divide the circumference by pi (3.14).

After dividing the circumference by pi, you now have the diameter of the circle.

Secondly, to get the radius, divide the quotient (the diameter) by 2.

The quotient is the radius of the circle.

----------------------------------------------------------------------------------------------------------------

Now, I will repeat these steps using the circumference of 125.6 millimeters.

125.6 ÷ 3.14 = 40.

40 ÷ 2 = 20.

Therefore, 20 millimeters is the radius of this circle.

The circle's radius is mathematically given as

r=20

Question Parameter(s):

The circumference of a circle is 125.6 millimeters.

Generally, the equation for the circumference  is mathematically given as

C=2\pi r

Therefore

C=2 *3.14*r

125.6=2 *3.14*r

r=20

In conclusion, The raduis

r=20

Read more about distance

https://brainly.com/question/4931057

Mia works at a skateboard shop and she gets 25 dollars per month

y -intercept = $200

Since at y -intercept x = 0

So coordinate is : (0,200)

x -intercept = 8 months

Since, at x intercept y = 0

So, coordinate is (8, 0)

The general equation of line is express as :

Substitute the coordinates : (8,0) (0,200)

Equation : y = 200 - 25x

Substitute the coordinates on the graph :

So, the graph of the equation y = 200 - 25x is

Answer:

Hope this help !

Step-by-step explanation:

Ellie's car holds at least 12 gallons of gasoline. She needs 5 gallons of gasoline to get to work each week. How many gallons of gasoline, x, will be in her car at the end of the work week?

April writes in her journal for 5 minutes each day. She increases her writing time by 3 minutes each week. April wants to write no more than 12 minutes each day. For how many weeks, x, should April increase her writing time?

Ivy wants to bike at least 12 miles every day. She begins by biking 3 miles. She adds 5 miles to her ride every month. How months, x, will it take Ivy to reach her goal?

Amir has written 5 thank-you notes for presents. He has at least 12 notes to write. Amir wants to finish the notes in the next 3 days. How many notes, x, will Amir need to write each day?

Answer:

k = 2

Step-by-step explanation:

To get the variable k alone, you must add (-1) from the left side and add (1) to the right side.

k - 1 = 1

  +1   +1

k = 2

Answer: Let's assume that Denise buys "x" pounds of pecans and "y" pounds of almonds. Since she wants to buy a mixture of nuts that weighs 5 pounds, we can write:

x + y = 5

We also know that Denise plans to spend $35.74 on nuts. The cost of the pecans and almonds combined is:

8.15x + 6.48y

So, we can write another equation:

8.15x + 6.48y = 35.74

We now have two equations with two variables, which we can solve simultaneously. Let's solve for "y" in the first equation:

y = 5 - x

We can substitute this expression for "y" into the second equation:

8.15x + 6.48(5 - x) = 35.74

Simplifying this equation, we get:

8.15x + 32.4 - 6.48x = 35.74

1.67x = 3.34

x = 2

So, Denise will buy 2 pounds of pecans. We can substitute this value of "x" back into the first equation to find the amount of almonds she will buy:

2 + y = 5

y = 3

Therefore, Denise will buy 2 pounds of pecans and 3 pounds of almonds.

Step-by-step explanation:

Answer

4.879

Step-by-step explanation:

The values that correctly models the scenario of the rollercoaster graph will be:

Red (x) = 6 + 4 × cos(πx/6) if 0 ≤ x < 6

Green (x) = -2.5 × cos(π(x - 6)/4) + 4.5

Purple (x) = 3.5 - 3.5 × sin(π(x - 12.5)/5)

How does the graph model the situation?

From the complete question,

For Red (x) = 6 + 4 × cos(πx/6) if 0 ≤ x < 6

where at x = 0, Red(x) = 10,

at x = 5, Red(x) = 2.5

For Green (x) = -2.5 × cos(π(x - 6)/4) + 4.5       if    6 ≤ x < 10

where at x = 10, Green (x) = 7,

at x = 6, Green (x) = 2.0

For Purple (x) = 3.5 - 3.5 × sin(π(x - 12.5)/5) if 10 ≤ x ≤ 15

where at x = 10, Purple (x) = 7,

at x = 15, Purple (x) = 0

Learn more about graphs at:

brainly.com/question/25020119

#SPJ1

The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.

To compute the ponderal index, we need the formula and the value of the constant "a."

a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.

b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.

To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.

Learn more about index here :-

https://brainly.com/question/32793068

#SPJ11

Yes. Any number of vectors in R4 will span all of R4.

Explanation:

To span all of R4, we need a set of vectors that can generate any vector in R4 as a linear combination of those vectors. Since each vector in R4 has four components, we need at least four linearly independent vectors to span all of R4. However, if we have more than four vectors, we can still span all of R4, but some of the vectors will be redundant (i.e., they can be expressed as linear combinations of the other vectors).

In general, for any m-dimensional vector space, we need at least m linearly independent vectors to span the entire space. If we have fewer than m vectors, then we cannot span the entire space. However, if we have exactly m vectors, they may or may not span the entire space, depending on whether they are linearly independent or not. If they are linearly independent, they will span the entire space; otherwise, they will only span a subspace of dimension less than m.

To learn more about vectors please click on below link.

https://brainly.com/question/30508591

#SPJ4

Could A Set Of Three Vectors In R4 Span All Of R4 Explain. What About N Vectors In Rm When N Is Less Than M? Choose The Correct Answer Below.

A. Yes. Any Number Of Vectors In R4 Will Span All Of R4

B. No. There Is No Way For Any Number Of Vectors In R4 To Span All Of R  

C. Yes. A Set Of N

Answer:

364.42 ft.

Step-by-step explanation:

For step 1 we should multiply pi by r and 2.

π x r x 2

For step 2 we should multiply pi by 58 and 2.

π x 58 x 2

In result, we should end up with 364.424748 ft. or for short 364.42 ft.

I hope I helped you... Have a great and nice day! :D

Based on the information given, it can be noted that the final price of the item will be $74500.

From the information given, Me Sanchez wants to purchase a camper, which is on sale for 10% off the original price of $85,000 and the manufacturer is offering a $2500 rebate.

Therefore, the final price will be:

= $85000 - (10% × $85000) - $2500

= $85000 - $8500 - $2000

= $74500.

Learn more about percentages on:

https://brainly.com/question/24304697