Thomas ordered 2 Japanese comic books and twice that number of American comic books. He also ordered 4 Spanish comic books. Thomas told his mom he ordered 8 comic books.



Was Thomas's calculation reasonable?


A.
Yes, it is reasonable because 2 + 2 + 4 = 8.

B.
No, it is not reasonable because 2 + 4 = 6.

C.
No, it is not reasonable because 2 + 4 + 4 = 10.

Answer: 3/7

Women: 20

Men: 15

Total: 35

15/35 is simplified to 3/7

Final answer:

The total number of dogs visiting the park in the current year, assuming 159 dogs visit each month, is 1,908 dogs/year. The previous year, with 95 dogs visiting every 3 months, saw 380 dogs/year. Hence, there are 1,528 more dogs visiting the park in the current year.

Explanation:

Calculating the Total Annual Number of Dogs Visiting the Dog Park

To calculate the total number of dogs visiting the dog park over the course of a year for the current period, we simply multiply the number of dogs that visit each month by the total number of months in a year. For the previous year, we will add up the number of dogs visiting every three months and then determine the difference between the two annual totals.

Current Period Calculation:

Previous Year Calculation:

Now, we find the difference between the two annual totals:

The total number of dogs visiting the park in the current year is 1,528 dogs more than the previous year.

Answer:

24 square units

Step-by-step explanation:

The  track-and-field coach should select the group which contains all students in each grade to take a random sample to get the best results for her survey.

We have a situation in which track-and-field coach wants to know whether the students in the entire school prefer track races or field events. In order to do so she draws a random sample from the following groups:

• All teachers in the school

• All boys in each grade

• All students in the track-and-field team

• All students in each grade

We have to find the best group from which she should take a random sample of the above mentioned to get the best results for her survey.

Set A is superset of Set B if Set A contains all the elements of Set B.

In our question, we have four groups in the form of four sets as -

• Set of all teachers in school (say Set T)

• Set of all boys in each grade (say Set B)

• Set of All students in track-and-field team (Say Set C)

• Set of all students in each grade (Say Set S)

Since the art teacher wants to know the opinion of students, therefore Set T is not correct. Set B contains all boys in each grade, but it would exclude the girls in each grade, therefore it is also not correct. Set C consists of all students in track-and-field team, but it would exclude students who are not in track and field team, therefore incorrect. Set S consist of all Students in each grade, this means that Set S is the superset of Set B and Set C and contains all the students of the school.

Hence, the group that contains all students in each grade should be selected to take a random sample to get the best results for her survey.

To solve more questions like these, visit the link below -

brainly.com/question/4093666

#SPJ2

The area of the center circle on a professional soccer field, which has a diameter of 20 yards, is calculated using the formula for the area of a circle. The calculated area is approximately 314.16 square yards.

To find the area of the center circle on a soccer field, we use the formula for the area of a circle: A = πr^2, where A is the area and r is the radius of the circle. Given that the diameter of the circle is 20 yards, the radius (which is half of the diameter) would be 10 yards. Therefore, substituting 10 for r in the formula gives A = π(10)^2.

Performing the calculations, we find that A = π(100), which equals 314.16 square yards, using 3.1416 as the approximation for σ. Hence, the area of the center circle on a professional soccer field is approximately 314.16 square yards.

Answer:

3%

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

egde

The value of the expression 8/(4-d) when d = 2 is 4.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

We have the expression,

8/(4-d)

And here, d = 2.

Substituting the value of d to the expression,

8/(4-d),

= 8/(4-2)

= 8/(2) {using simple division}

= 4

Therefore, 4 is the value of the expression.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ3

The minimum speed Mrs. Beluga could have been traveling when she braked suddenly on the snow-covered road is approximately 13.68 mph.

To find this, we can use the formula for determining speed from yaw marks: v = √(15 × f × R), where v is the speed in miles per hour, f is the drag factor (0.2 in this case), and R is the radius of the yaw mark.

First, we need to determine the radius of the yaw mark using the given chord length (52 feet) and middle ordinate (6 feet). The formula for R using these values is: R = (C² / 8M) + (M / 2), where C is the chord length and M is the middle ordinate.

Therefore, the minimum speed Mrs. Beluga could have been traveling was approximately 13.68 mph.

Answer:

4ab²

Step-by-step explanation:

The two expressions are given as 8a³b² and 12ab⁴

Now factors of 8a³b² = 2 × 2 × 2 × a × a × a × b × b

and factors of 12ab⁴ = 2 × 2 × 3 × a × b × b × b × b

Now greatest common factor will be 2 × 2 × a × b × b

= 4ab²

Answer is : -2 and 2

Step-by-step explanation:

Answer:

ABBABABABABBABABABABABABABABAA

Step-by-step explanation:

Player B is supposed to be winning 4 out of 5 times.  This means that Player A is supposed to win 1 out of 5 times.

This means out of 30 games, player A should win roughly 1/5(30) = 6 times.

In the first list, player A wins 7.

In the second list, player A wins 6.

In the third list, player A wins 15.  This is much different.

In the fourth list, player A wins 5.

With 900 g of flour, you can make 45 muffins.

To find out how many muffins can be made with 900 g of flour, we can set up a proportion:

2.5 × 12 = 600

x × 900 = 1

Cross-multiplying gives us:

2.5 × 12 × 900 = 600 × x

30 × 900 = 600 × x

27000 = 600x

x = 27000 / 600

x = 45

Therefore, with 900 g of flour, you can make 45 muffins.

Using the z-distribution, it is found that the 90% confidence interval for the population mean is: 132.10 to 143.90.

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

The other parameters are given as follows:

[tex]\mu = 138, \sigma = 34, n = 90[/tex]

Hence, the bounds of the interval are given by:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 138 - 1.645\frac{34}{\sqrt{90}} = 132.1[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 138 + 1.645\frac{34}{\sqrt{90}} = 143.9[/tex]

The 90% confidence interval for the population mean is: 132.10 to 143.90.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ5

The length of the ladder will be 44.8 feet.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

A ladder is leaning against a building and makes a 42° angle with the ground.

The top of the ladder reaches 30 feet up on the building.

Let the length of the ladder be L.

Then the length of the ladder is given by the sine of angle 42°.

sin 42° = 30 / L

L = 30 / sin 42°

L = 30 / 0.699

L = 44.8 feet

The length of the ladder will be 44.8 feet.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ5