Your friend likes to show off to his coworkers using statistical terminology, but he makes errors so much that you often have to correct him. He just completed the following hypothesis test: H0 : μ = 100 ; HA : μ ≠ 100 x = 105, s = 10, n = 40 p-value = 0.0016 He claims the definition of this p-value is "the probability of obtaining a sample mean of 105 from a random sample of n = 40 when the true population mean is assumed to be 100." Which of the following is true?

a. Your friend is wrong, the sample size is irrelevant.
b. Your friend is right.
c. Your friend is wrong, the statement should be revised as "the probability of obtaining a sample mean of 105 from a random sample of n = 40 when the true population mean is assumed to be different than 105."
d. Your friend is wrong, the statement should be revised as "the probability of obtaining a sample mean of 105 or more extreme from a random sample of n = 40 when the true population mean is assumed to be 100."

This is an arithmetic sequence with a common difference given by d= -7

I will start by defining my first term as u⁰=361

Now we have to think, if u⁰ is my 1st term than my 47th term would be u⁴⁶ not u⁴⁷ since i start counting from 0 and not 1.

Using the relation that describes the implicit relation of an arithmetic sequence, i can say:

u(n)=u⁰+nd where n is any number

u⁴⁶=u⁰+46d

u⁴⁶=361+46(-7)

u⁴⁶=361-322

u⁴⁶=39

Answer:

39.

Step-by-step explanation:

This is an arithmetic sequence with common difference -7

47th term = a + d(n - 1)

= 361  - 7(47-1)

= 39.

Answer:

y = - 3x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = \(\frac{1-7}{2-0}\) = \(\frac{-6}{2}\) = - 3

the line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 3x + 7 ← equation of line

The equation of the line in fully simplified slope-intercept form is y = -2.8x + 7

The linear graph represents the given parameter

For the graph, we have the points

(0, 7) and (25, 0)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 7

Using the point (2.5, 0) on y = mx + 7, we have

m(2.5) + 7 = 0

2.5m + 7 = 0

Evaluate

m = -2.8

So, we have

y = -2.8x + 7

Hence, the equation of the line in fully simplified slope-intercept form is y = -2.8x + 7

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Answer:

2. hope i helped you im not 100%sure though

Cara's first error occurred when she simplified the expression (negative 4) squared.

According to the order of operations (PEMDAS/BODMAS), exponentiation should be performed before any other operations. However, Cara incorrectly squared only the negative sign and not the entire number.

As a result, she obtained a value of positive 4 instead of 16.

To correct the error, Cara should have squared the entire value of -4. Squaring a negative number yields a positive result. Thus, (-4) squared is equal to 16. By failing to correctly apply this rule, Cara ended up with an incorrect value in her expression.

The correct evaluation of the expression should have been:

StartFraction 4 (7 minus 13) over 3 EndFraction + (negative 4) squared minus 2 (6 minus 2) = StartFraction 4 (-6) over 3 EndFraction + 16 minus 2 (4) = -8 + 16 - 8 = 0.

Therefore, Cara's first error was in incorrectly squaring only the negative sign and obtaining a value of 4 instead of 16.

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g = number of gold coins finds

He wins 25 points for each gold coins he finds, so the number of points he wins is given by:

His goal is to win mora than 200 points, therefore:

He needs to find more than 8 gold coins, 9 will be enough for example

The identity property of addition indicates that any number added to zero is equivalent to the same number, in other words, zero is like a special number, it's a neutral element.

The radius of the cylinder is equal to 10 feet.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given parameters into the formula for the volume of a cylinder, we have the following;

V = πr²h

1,570 = 3.14 × r² × 5

1,570 = 15.7r²

r² = 1,570/15.7

r² = 100

Radius, r = √100

Radius, r = 10 feet.

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Answer:

3x-22=80+x

3x-x=80+22

2x=102

x=51

Step-by-step explanation:

the exterior angle is (3x-22) and then is equal to sum of 80 and x

and then we get 51

Answer:

Try doing 3(80)-22 it might be right

Hi Student!

Looking at the question provided we are asked to find two integers.  It further specifies that those two integers should be the boundaries around the number that is produced from the square root of 11.  

Now that we know what the question is asking for, we can move onto answering the question.  We know that \(1^2\) is equal to \(1\), \(2^2\) is equal to \(4\), \(3^2\) is equal to \(9\), and \(4^2\) is equal to \(16\).  The number that was provided to us inside of the square root was 11.  That means that it would be between the number 9 and 16 which is given using \(3^2\) and \(4^2\).  

Therefore, the square root of 11 would be between the numbers 3 and 4.  The final answer is option E, 3 and 4

Answer:

a) 9000 ft-lb

b) 9000 ft-lb

Step-by-step explanation:

Equation for the work:

The equation for the work done is given by:

\(W = Fd\)

In which F is the force needed and d is the distance. The time does not interfere on the work.

A 300-lb gorilla climbs a tree to a height of 30 ft

This means that \(F = 300, h = 30\)

Thus

\(W = Fd = 300(30) = 9000\)

The work done in both cases is of 9000 ft-lb, as the work is not a function of time.

Answer:

90

Step-by-step explanation:

The average is the sum of the scores divided by the number of rounds:

85 = (x + 84 + 81) / 3

x = 90

Answer:

16

Step-by-step explanation:

3^x +1 = f(X)

2x-4 = g(x)

find f(2)-g(-1)

we substitute in function f(X) by value (2), and in function g(X) by value (-1)

1. 3^x +1 becomes 3^2+1 =9+1=10

2. 2(-1)-4= -2-4=-6

then f(2)-g(-1)

= 10-(-6) =10+6=16

1.9 and 0.7 because you have to add 0.6 and 1.3 to get one of the numbers and you have to subtract 0.6 from 1.3 to get the other number

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer:

The answer would be 8.1

Step-by-step explanation:

For the smaller triangle, you use the pythagorean theorem. a squared + b squared = c squared.

To find one of the legs, you do 5 squared - 3 squared = b squared.

25 - 9 = b squared. (BD)

16 = b squared

4 = b

Now for the bigger right triangle. You still use the same tactic.

7 squared + 4 squared = c squared (which is AB)

49 + 16 = c squared

65 = c squared

That means c would equal: square root of 65, which is 8.0622577483 which rounds to 8.1

Answer:

The formula for density (ρ) is:

Density (ρ) = Mass (m) / Volume (V)

Step-by-step explanation:

Where:

Answer:

We can find the critical value \(t_{\alpha/2}\)

And for this case if the confidence increase the critical value increase so then this statement is True

Step-by-step explanation:

For a confidence level given c, we can find the significance level like this:

\( \alpha=1 -c\)

And with the degrees of freedom given by:

\( df=n-1\)

We can find the critical value \(t_{\alpha/2}\)

And for this case if the confidence increase the critical value increase so then this statement is True

Answer:

5

Step-by-step explanation:

HOPE THIS HELPS YOU!

brainliest?

Answer:

y = 5^(x+1)

Step-by-step explanation:

y = 5^(x+1)

x = 1 for the initial step

Answer: (-2,4) x (0,9)=36 simplified

y= 5/2x + 9 is the slope

Step-by-step explanation:

.

The graph provides a visual representation of the cost of book printing services for each bid, allowing Bruno to easily compare the two options.

To graph the linear equations, we will use the values in the table to plot points on the coordinate plane, and then connect the points to form lines.

For Bid 7:

X y

0 5

3 50

5 80

7 110

10 155

For Bid 8:

X y

0 40

3 70

5 90

7 110

10 140

We can now plot these points on the coordinate plane and connect them to form two lines. Hence we obtain  Graph of Bid 7 and Bid 8

The x-axis represents the number of books, and the y-axis represents the cost. The title of the graph is "Comparison of Bids for Book Printing Services." We can see that Bid 7 is represented by the blue line, while Bid 8 is represented by the orange line.

To create the legend, we can add a key that explains which line represents which bid. For example, we could add a note at the bottom of the graph that says "Blue line: Bid 7, Orange line: Bid 8."

Overall, the graph provides a visual representation of the cost of book printing services for each bid, allowing Bruno to easily compare the two options.

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Answer:

0.072 or .072

Step-by-step explanation:

0.72 is ten times as much as 0.072.

0.072 times 10 is .72.

0.72 / 10 = 0.072 .

Answer:

0.072 or .072

Both is right

For the inequality  -5 < 4x + 3 ≤ 7 the  combined solution are x < -2 and x ≤ 1.

To solve the inequality -5 < 4x + 3 ≤ 7, we need to consider two separate inequalities:

Solve the inequality -5 < 4x + 3:

-5 < 4x + 3

Subtract 3 from both sides:

-5 - 3 < 4x

-8 < 4x

Divide both sides by 4

-8/4 > x

-2 > x

x < -2.

Now let's solve the inequality 4x + 3 ≤ 7:

4x + 3 ≤ 7

Subtract 3 from both sides:

4x ≤ 7 - 3

4x ≤ 4

Divide both sides by 4:

x ≤ 1

Therefore, the combined solution is x < -2 and x ≤ 1.

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Therefore, **x < 7** is the inequality that may be utilized to find x

A mathematical statement known as an inequality compares two expressions using an inequality sign, such as (less than), > (greater than), or (less than or equal to).

For instance, the inequality x + 2 5 signifies that "x + 2 is less than 5".

Let x represent how many days the client paid for pet sitting.

$15 per day plus a $20 fixed service fee equals the total cost of pet sitting.

We are aware that the customer's purchase was under $125. Consequently, we can write:

20 + 15x < 125

Putting this disparity simply:

15x < 105

x < 7

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

e. The mayor uses a significance level of 0.05 and n = 1,000 voters.

Step-by-step explanation:

Power of a test:

For a high power of a test, two conditions are needed:

Large significance level.

Large sample.

In this question:

A significance level of 0.05 will lead to a higher power than a significance level of 0.01, which means that the answer is between options d and e.

A test with a sample of 1000 has a higher power than a test with a sample of 500, and thus, the answer is given by option e.

Answer:

24,800.07

Step-by-step explanation:

Answer:

4(9+3) = 48

Step-by-step explanation:

To simplify the expression 4(9+3), we need to perform the addition inside the parentheses first and then multiply the result by 4.

9+3 = 12, so we can substitute this into the expression as follows:

4(9+3) = 4(12)

Now we can perform the multiplication:

4(12) = 48

Therefore, the equivalent expression to 4(9+3) is simply 48.