g Refer to the Environmental Geology (Vol.58, 2009) simulation study of how far a block from a collapsing rockwall will bounce down a soil solpe. Rebound lengths (in meters) were estimated for 13 rock bounces. The data are presented below. Consider a test of hypothesis for the variation in rebound lengths for the theoretical population of rock bounces form the collapsing rockwall. In particular, a geologist wants to determine if the variance differs from 10 m 2. 10.94 13.71 11.38 7.26 17.83 11.92 11.87 5.44 13.35 4.90 5.85 5.10 6.77 a. Specify the null and alternative hypotheses. Be sure to define the parameter used in your hypotheses. b. Compute the value of the test statistic. c. Determine the rejection region for the test using alpha

The probability of getting a black card and a numbered card is 9/26.

To calculate the probability of getting a black card (E1), we need to determine the number of black cards in a standard deck of 52 cards.

There are 26 black cards in total, which consist of 13 spades (black) and 13 clubs (black).

Therefore, the probability of drawing a black card (P(E1)) is:

P(E1) = Number of favorable outcomes / Total number of possible outcomes

P(E1) = 26 / 52

Simplifying this fraction, we get:

P(E1) = 1/2

So the probability of drawing a black card is 1/2.

To calculate the probability of drawing a numbered card (E2), we need to determine the number of numbered cards (2 through 10) in a standard deck.

Each suit (spades, hearts, diamonds, clubs) contains one card for each numbered value from 2 to 10, totaling 9 numbered cards per suit.

Therefore, the probability of drawing a numbered card (P(E2)) is:

P(E2) = Number of favorable outcomes / Total number of possible outcomes

P(E2) = 36 / 52

Simplifying this fraction, we get:

P(E2) = 9/13

So the probability of drawing a numbered card is 9/13.

To calculate the probability of both events occurring together (getting a black card and a numbered card), we multiply the individual probabilities:

P(E1 ∩ E2) = P(E1) × P(E2)

P(E1 ∩ E2) = (1/2) × (9/13)

Simplifying this fraction, we get:

P(E1 ∩ E2) = 9/26

Therefore, the probability of getting a black card and a numbered card is 9/26.

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Mr. Lloyd could use his credit card to buy the TV. Therefore, option  A is the correct answer.

Using a credit card to make a purchase requires that the buyer have a credit limit that is large enough to cover the amount of the purchase. Mr. Lloyd does not have enough money in his bank account to pay for the television, so he would not be able to use a credit card to make the purchase.

Options B, C, and D are all viable options for Mr. Lloyd. He could save up money and pay cash for the television at a later date, or he could use his debit card to make the purchase when he has enough money in his bank account. He could also save money and use his debit card at a later date when he has enough money in his bank account.

Therefore, option  A is the correct answer.

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Mr. Lloyd wants to buy a new television, but he does not have enough money in his bank account to pay for one. Which of these is NOT an option for Mr. Lloyd?

A) He can use his credit card to buy the television now.

B) He can save money and pay cash for the television at a later date.

C) He can use his debit card to buy the television now.

D) He can save money and use his debit card to buy the television at a later date.

The true statements are:

The marked up price of chicken before 10pm is $6

The 50% mark down is taken off the marked up price

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

Price after the mark up= (1 + mark up) x initial price

1.50 x 4 = $6

Price after the mark down = (1 - percentage mark down) x price after mark up

0.50 x $6 = $3

Here are the options:

The marked up price of chicken before 10pm is 6

The 50% mark down is taken off the marked up price

The chickens sell for $4 after 10pm

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Answer:

25 coin tosses is the ans

Answer: 25 coin tosses

Step-by-step explanation: hope this helps!

Using long division for the integration, the final answer is (1/3)x³ + x² + 3x + 5 ln |x³ - x² + x - 1| + C, where C is the constant of integration.

To integrate the given expression using long division, we need to divide the numerator, 3x³ + 1, by the denominator, x³ - x² + x - 1, to obtain a quotient that we can integrate.

First, let's perform the long division:

   x² + 2x + 3

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

x³ - x² + x - 1 | 3x³ + 0x² + 0x + 1

   3x³ - 3x² + 3x - 3

   ------------------

          3x² + 2x - 2

          3x² - 3x + 3

          -----------

                  5x - 5

Therefore, we can rewrite the original integral as:

∫[(3x³ + 1) / (x³ - x² + x - 1)] dx = ∫[x² + 2x + 3 + (5x - 5) / (x³ - x² + x - 1)] dx

The first term, x² + 2x + 3, can be integrated easily. For the second term, we can use partial fraction decomposition or substitute u = x³ - x² + x - 1 to obtain:

∫[(5x - 5) / (x³ - x² + x - 1)] dx = 5∫[du / u] = 5 ln |u| + C

= 5 ln |x³ - x² + x - 1| + C

Putting everything together, we get:

∫[(3x³ + 1) / (x³ - x² + x - 1)] dx = ∫[x² + 2x + 3 + (5x - 5) / (x³ - x² + x - 1)] dx

= ∫[x² + 2x + 3] dx + 5 ln |x³ - x² + x - 1| + C

= (1/3)x³ + x² + 3x + 5 ln |x³ - x² + x - 1| + C

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\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)

The equation is:

Work/explanation:

Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),

where m is the slope and (x₁, y₁) is a point on the line.

Plug in the data:

\(\rm{y-(-11)=4(x-(-3)}\)

Simplify.

\(\rm{y+11=4(x+3)}\)

Simplified to slope intercept:

\(\rm{y+11=4x+12}\)

\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation

Answer:

7/6 or 1*1/6

Step-by-step explanation:

Answer:

the answer is in the picture

Step-by-step explanation:

well, what does the word "constant" tell you ?

e.g. "this is a constant reminder of ..."

a constant is steady and unchanging. always the same.

so, what could be the constant part/term in the expression ?

-3xy ? is that always the same value ? no matter what values you assign to x, y (and whatever other variables there might be in the system)?

or

10 ? is that always the same value, no matter what values are assigned to x, y, ... ?

there are no other parts/terms I can see here.

so, please use your common sense and pick the right one. you can do that !

this is so simple. to outright write the answer to this feels like an offense. also against your own intelligence.

Answer:

Answer: x=10502

Step-by-step explanation:

To find x divide by 5 on both sides

5x/5=52510/5

Which is 10502

Hope this helps!

Answer and Step-by-step explanation:

To find x, we divide both sides by 5.

x = 10,502

10,502 is the answer (it is equal to x).

#teamtrees #PAW (Plant And Water)

The equation of the word sentence, "5 is one-fourth of a number c" is: 5 = 1/4c.

To write a word sentence as an equation, you need to identify the variables and the operations being described in the sentence, and then use mathematical symbols to represent them.

For example, we are given the sentence "5 is one-fourth of a number c,", in this case, the variable is "c" and the operation is "one-fourth of," which is represented by the fraction 1/4 or the multiplication by 1/4.

Therefore, the equation would be:

5 = 1/4c.

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Answer:

Step-by-step explanation:

2x- 45 + x = 180

3x - 45 = 180

x - 15 = 60

x  =  75

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

it is either way, you can put x on the left side or the right side. Just make sure your signs are correct

Answer: 3cups

Step-by-step explanation:

List all of the solutions.

3cups = 48 = y = cups = x =

Answer:

3cups

Step-by-step explanation:

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Answer: No, because 7^2 + 10^2 is > 12^2

Step-by-step explanation: 7^2 +10^2= 49 + 100= 149 149 \(\neq\) 144

Answer: scale factor is 5:3

Step-by-step explanation: scale factor is length of bigger/length of smaller

60/36,40/24,50/30=5:3

The sum of expected marks is given as follows:

9375.

Each question has four choices, hence the probability of choosing the correct choice is given as follows:

p = 1/4 = 0.25.

Then the expected number of correct answers is given as follows:

E(X) = 0.25 x 150

E(X) = 37.5.

Then the expected grade for a single student is given as follows:

37.5 - 0.25(150 - 37.5) = 9.375.

The expected sum for the 1000 students is then given as follows:

1000 x 9.375 = 9375.

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The equations are y = 30x + 13 and y = 28x + 15. And the charge less for cleaning 4 mattresses is $127 given by company B. Then the amount of money saved to clean 7 mattresses is $22.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of mattresses and 'y' be the total cost. Then the equations are given as,

Company A: y = 30x + 13

Company B: y = 28x + 15

The amount for x = 4 is given as,

Company A: y = 30 (4) + 13 = $133

Company B: y = 28 (4) + 15 = $127

The amount for x = 4 is given as,

Company A: y = 30 (7) + 13 = $223

Company B: y = 28 (7) + 15 = $211

Then the amount of money saved is given as,

⇒ $233 - $211

⇒ $22

The amount of money saved to clean 7 mattresses is $22.

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We can expect a total of 45 games during the tournament.

What is round robin scheduling?

Round robin scheduling is a way of sharing CPU time among processes in a fair and cyclic manner.

In a round-robin tournament, each player must play against every other player exactly once. So, if we have n players, then each player will play (n-1) games.

In this case, we have 10 grandmasters, so each one will play 9 games. However, we have to be careful not to count each game twice (i.e., once for each player). So, the total number of games in the tournament is:

10 players × 9 games each ÷ 2 = 45 games

Therefore, we can expect a total of 45 games during the tournament.

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The correct question is:

A chess tournament will be developed between 10 grandmasters in a round robin system. Calculate the number of games expected during the tournament.

The steps which you would take to determine if these figures are similar include the following:

2. Multiply the vertices of polygon ABCD by 1/2.

5. Reflect the intermediate image.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

62.12% to 77.88%

Step-by-step explanation:

We proceed as follows mathematically;

From the question

n=130

Estimate for sample proportion=70% = 70/100 = 0.7 = p

Level of significance is =1-0.95=0.05

Z critical value(using Z table)=1.96

Confidence interval formula is ;

p ± Z * √(p(1-p)/n

= 0.70 ± √(0.7(1-0.7)/130

=(0.6212,0.7788)

Lower confidence interval limit =0.6212

Upper confidence interval limit =0.7788

In percentages , we simply multiply by 100 in both cases =

62.12 % to 77.88%

The answer is -21.4

Hope that answers your question ;)

Answer:

The answer is A

Step-by-step explanation:

i got it right on edge <3

Answer:

It is A

Step-by-step explanation:

The other guy is right

Answer: 3 hours and 15 minutes

Step-by-step explanation:

Answer:

Time taken by Rahm to write the essay and finish the science project = 12.5 hours    

Step-by-step explanation:

Now, we need to find the total time spent by Rahm to finish the both writing the essay and the science project.

Hence, Time taken by Rahm to write the essay and finish the science project = 12.5 hours

Answer:

224

Step-by-step explanation:

360.-136.