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The average number of hours that adults spend working each day is 8 hours and Ryan is correct because he got the average of 8 right.

We know that,

The sample mean is a statistic that is computed by taking the arithmetic mean of the values of a variable in a sample. If the sample is taken from probability distributions with a shared expected value, the sample mean is an estimator of that value.

The mean is gotten from the formula;

x' = ∑x/n

Number of hours of work per day are; 6, 7, 8, 9 and 10

Thus; sum up all of it

∑x = 6 + 7 + 8 + 9 + 10

∑x = 40

Mean is; x' = 40/5

x' = 8

Since Ryan concluded that the average is 8 hours,

Therefore,

We can say that Ryan is correct.

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Answer:

x^2 + (y – 3)^2 = 36

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.

If the center lies on the y-axis, then h = 0:  (x - 0)^2 + (y - k)^2 = r^2

If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36

So, among the given equations, your

x^2 + (y – 3)^2 = 36 is correct (but only if you use " ^ " for exponentiation).

Answer:

2x > x

21x < 80

Step-by-step explanation:

Answer:

it is right triangle so we have trigonometric ratio: tan(54)=3/x and from that we have x=3/tan(54)

Answer:

A.  22.5

Step-by-step explanation:

you can break. it into two smaller shapes first

Then you find the area of each and add.

The small one: 3x1.5= 4.5

The large one: 6x3= 18

18+4.5=22.5

Answer:

22.5

Step-by-step explanation:

It helps to break up each shape of a composite figure. For this shape break it up into two rectangles and then add them together.

3 · 1.5 = 4.5 (smaller rectangle)

6 · 3 = 18 (larger rectangle)

4.5 + 18 = 22.5

I hope this helps!!!

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

We have,

To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.

The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.

Let's calculate the number of half-lives required to reach 150mg:

Initial amount of aspirin = 625mg

Final amount of aspirin = 150mg

625mg / 150mg = 4.17

This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.

Since each half-life is 6 hours, we can calculate the total time it will take:

Total time = Number of half-lives * Half-life duration

Total time = 4.17 x 6 hours

Total time ≈ 25 hours and 1 minute

Therefore,

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

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Answer:

(5,5)

(-3,-15)

(6,-12)

(-2,8)

Step-by-step explanation:

Multiply the value of "a" with the coordinates.

#1

y=ax²

Coordinates (1,5)

#2

So

Coordinates (5,-15)

#3

So

Coordinates (-2,-12)

#4

So

Coordinates (-4,8)

Proportionately, the number of minutes it should take to complete 4 levels is B. 120 minutes.

Proportion is the ratio between one value and another.

Proportions show the relative amount of a variable or value contained in the whole or another variable.

Proportions as fractional values are depicted using fractions, decimals, or percentages.

Number         Time

of Levels       (hours)

4                        ?

5                      2.5

The proportion of hours for level 5 = 0.5 (2.5/5) for each level.

If every level takes 0.5 hours or 30 minutes, level 4 will take 2 hours (0.5 x 4).

Or:

If level 5 takes 2.5 hours, level 4 will take 2 hours (2.5/5 x 4).

Thus, proportionately, to complete level 4 will take Option B.

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Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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Answer:

19 people

Step-by-step explanation:

This is because we have counted the number of people over 31

Answer:

Quadrilaterals

Step-by-step explanation:

Answer: D

Step-by-step explanation:

dogs + cats = 3+4

feeding = 2times

therefore 2(3+4)

Answer:

The answer you had circled (Option D) would be the correct answer. If Betty feeds 3 cats, and 4 dogs, she would be feeding them 7 scoops at feeding time, and since she feeds them twice a day, it would total to 14 scoops, which can be represented by the equation 2*(3+4). I hope this helps, if you have any questions let me know.

Answer:

x = 3

Step-by-step explanation:

Multiply the first equation by -1, then add it to second equation.

 2x+9y = -12

-2x-7y = 8

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

 2y = -4

Solve for y

2y = -4

y = -2

Plug value of y into one of the equations and solve for x

2x + 9(-2) = -12

2x  = 6

x = 3

Answer: $26

Step-by-step explanation:

Since the 7 tickets cost $168, the value of each ticket will then be:

= $168/7

= $24

Each ticket cost $24

If one friend gave him $50, the change that the friend will collect will be:

= $50 - $24

= $26

Therefore, Edward should return $26 to the person.

9514 1404 393

Answer:

  E  none of the above

Step-by-step explanation:

"Triples in size" means the growth factor is 3, so we expect to see that as the base of the exponent. That growth factor applies to a period of 6 minutes, or 1/10 hours. The number of 6-minute intervals in t hours is 10t, so we expect to see that as the exponent. The appropriate model could be written ...

  n(t) = 3·3^(10t) . . . . . matches no offered answer choice

Out of the population being surveyed, the one that could result in a sample statistic but not a parameter is; B: 50

A sample statistic is a piece of information you get from a fraction of a population.

A parameter is a number describing a whole population (e.g., population mean), while a statistic is a number describing a sample (e.g., sample mean).

Now, we are told that a population consists of 5000 people. This means that the sample statistic could be the sample mean which could be 50 but certainly not 5000 as the sample statistic can't be same as the population.

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Answer:

89n

Step-by-step explanation:)

Answer:

33289

Step-by-step explanation:

July reading + Useage

= 32347 + 942 = 33289

Answer: 172 ounces

Step-by-step explanation:

We are given 10 pounds and 12 ounces to convert to ounces.

There are 16 ounces in 1 pound.

We can create a proportion to find out how much ounces 10 pounds is.

10 pounds / x ounces = 1 pound / 16 ounces

We need to solve for x by isolating the variable x.

10/x = 1/16

10 = x/16

10 * 16 = x

160 ounces = x

so 10 pounds is equivalent to 160 ounces. But we are not done yet.

We were asked to convert 10 pounds and 12 ounces.

So add together the ounces to find the total ounces:

160 ounces + 12 ounces = 172 ounces.

Answer:

35

Step-by-step explanation:

You can easily graph this in desmos for a visual understanding.

The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.

The solution is given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Remember that the Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

According to this, the correct answer is: given below.

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The relationship depicts to be fairly strong and also linear as the points on the graph doesn't move far from a line.

The interpretation of the slope of the line of best fit in the context of this problem is that the additional person added to the party will bring or add about $11.15 to the bill above.

The variability can be shown or explained by the differences that are seen in what the parties in the graph has ordered to eat or drink.

Since the party of 8 paid were said to have paid (95 - 82.50 =12.50) therefore, 12.50  is known to be less than the predicted amount.

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Answer: a. Yes, this is a statistical question since it includes collecting information from a test of 6th graders and utilizing factual strategies to analyze the comes about and draw a conclusion approximately the inclinations for Sweet Grove and Bushels apple juice.

b. Draw a conclusion based on the results of the experiment, and report any limitations or assumptions made during the experiment.

Step-by-step explanation:

Diya could earn 72 marks out of 80 after getting the extra credits.

Teachers employ extra credit for a variety of reasons. For example, it may be felt that students who are highly capable may benefit from an additional challenge that might not be suitable as required work for all students. Extra credit may also be used as a way to allow a student to improve their grade after a weak performance earlier in a course. In both of these cases, extra credit can promote differentiated instruction by factoring in optional work in the assessment of student performance.

Given here: Diya scores 36 out of 80 on a test.

Also, her teacher gives her extra credit with which she could double her marks.

If Diya doubles her marks then her total marks would be 72

Therefore the increase in her marks is 72-36=36

She could earn another 36 credits.

Thus her score after the extra credit is equal to 72

Hence, Diya could earn 72 marks out of 80 after getting the extra credits.

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Answer:

41° and 49°

Step-by-step explanation:

Complementary angles are angles that sum up to 90°.

Let x represent the smaller angle, then the bigger angle will be represented with x + 8:

x + x + 8 = 90°

2x + 8 = 90°

2x = 82°

x = 41° this is the measure of smaller angle, then the bigger angle wpis 49°

The answer is:

Work/explanation:

If two angles are complementary, their measures add to 90°.

So we can set up an equation to find the angles. Let the unknown angle be w, and its complement will be w + 8:

w + w + 8 = 90

Combine like Terms

2w + 8 = 90

2w = 82

w= 41

The other angle measures 8° more than the measure of w:

41 + 8 = 49

Answer:

Step-by-step explanation:

Hhggggy

The expression shows the total amount in Diego's savings account after m months is 500 - 20m.

What is the total amount?

Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips. When two or more numbers are added together, a mathematical sum or maths sum is the outcome. It is the sum of the numbers when they are added up.

Here, we have

Given: Deigo has $500 in his saving account each month he takes out $20 to pay for karate class.

Let m be the number of months. Write an expression to show the total amount in Diego's savings account after m months.

The expression:

= 500 - 20m

Here m is the number of months

Hence, the expression shows the total amount in Diego's savings account after m months is 500 - 20m.

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Answer:

1/52c5 (b)

​

Step-by-step explanation:

The probability Luka correctly identifies all 5 cards in any order is  \(\frac{1}{^{52}C_{5}}\).

"Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen."

We have

The number of favorable outcomes are Luka correctly identifying all 5

5 cards in any order, and this can be done in \(^{5}C_{5}\)  ways. This is equal to 1.

∴ The number of favorable outcomes are 1

Luke can identify 5 cards from 52 cards in  \(^{52}C_{5}\)  ways (because there is no order followed here).

∴ The total number of outcomes are \(^{52}C_{5}\)

Formula for probability of an event happening

=  \(\frac{Number of Favorable Outcomes}{Total Number of Favorable Outcomes}\)

​So the probability Luka correctly identifies all 5 cards in any order is

= \(\frac{1}{^{52}C_{5}}\)

Hence, the probability Luka correctly identifies all 5 cards in any order is  \(\frac{1}{^{52}C_{5}}\).

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