MATHEMATICS
HIGH SCHOOL

a) 12π

b) 36π

c) 24π

d) 144π

Answer: D because 75.4/3.14=24

MIDDLE SCHOOL

The sum of two consecutive even integers divided by four is 189.5

Well, we must first multiply 189.5 by 4 to know the sum of the two consecutive even integers.

Then we divide 758 by 2 to find the middle of both numbers.

Thus, 379 is in between the two even consecutive integers 378 and 380.

We should also notice that 379 is the average of 378 and 380.

Ans:

378; 380

Then we divide 758 by 2 to find the middle of both numbers.

Thus, 379 is in between the two even consecutive integers 378 and 380.

We should also notice that 379 is the average of 378 and 380.

Ans:

378; 380

MIDDLE SCHOOL

Write an integer for the situation below : 13 feet below the sea level

It is -13. It is below so negitive

At sea level we would be at 0 feet above the sea. If we are 13 feet below the sea level then we are 0 - 13 or -13 feet below the sea.

So, -13 feet is the answer.

So, -13 feet is the answer.

MIDDLE SCHOOL

25. what is happening in the diagram (5 points)

You need to give more info.

I don’t understand give more information

MIDDLE SCHOOL

Use the formula to find the area use 3.14 for pie the circle is 15 cm

Hey there!

By using this formula, we plug it in.

Your correct answer would be . . .

≈

Hope this helps.

~Jurgen

By using this formula, we plug it in.

Your correct answer would be . . .

≈

Hope this helps.

~Jurgen

COLLEGE

Let SS be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20}

Let sets AA and BB be subsets of SS, where:

Set A={1,2,4,5,8,9,11,12,14,15,17,18,19}A={1,2,4,5,8,9,11,12,14,15,17,18,19}

Set B={2,3,8,9,12,18,19}B={2,3,8,9,12,18,19}

Find the following:

LIST the elements in the set (A∪BA∪B):

(A∪B)(A∪B) = { }

Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE

LIST the elements in the set (A∩BA∩B):

(A∩B)(A∩B) = { }

Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE

You may want to draw a Venn Diagram to help answer this question.

Answer: 1) A∪B={1,2,3,4,5,8,9,11,12,14,15,17,18,19}

2) A∩B = { 2,3,8,9,12,18,19}

Step-by-step explanation:

Since we have given that

A={1,2,4,5,8,9,11,12,14,15,17,18,19}

B={2,3,8,9,12,18,19}

So, we need to find the union of above sets and intersection of above sets.

Since union is the collection of all elements either in A or in B.

So, it becomes,

A∪B={1,2,3,4,5,8,9,11,12,14,15,17,18,19}

And intersection is the common element both in A and B.

A∩B = { 2,3,8,9,12,18,19}

COLLEGE

How does the speed of a runner vary over the course of a marathon (a distance of 42.195 km)? Consider determining both the time to run the first 5 km and the time to run between the 35-km and 40-km points, and then subtracting the former time from the latter time. A positive value of this difference corresponds to a runner slowing down toward the end of the race. The accompanying histogram is based on times of runners who participated in several different Japanese marathons.†

Answer:

The observed typical difference value of mode is 100 seconds approximately.

The proportion of runners ran the late distance more quickly than the early distance is approximately 1%

Step-by-step explanation:

Fundamentals

Consider that there are x favorable cases to an event E, out of a total of n cases. Then, the probability of that event is written as:

P(E)=

Total number of cases /Number of favorable cases = x/n

A histogram is constructed for continuous data, which is divided into classes called bins. The shape of the distribution can be determined from the histogram.

step 1

The provided histogram indicates time difference on xx -axis and frequency of runners on yy -axis. To determine the typical difference value, identify the peaks of the graph.

The histogram is skewed towards right side. The graph indicates that there are few outliers around 700 seconds. For a typical difference value, the value of mode is considered.

The graph indicates that the value of mode is 100 seconds approximately.

The observed typical difference value of mode is 100 seconds approximately.

Explanation

From the histogram, the typical difference value is obtained on the basis of guessing the value of mode which has been approximated to be around 100 seconds.

Step 2

From the histogram, it can be estimated that there are around 10 runners which has negative difference which means approxi8matley 10 runners ran the late distance more quickly than the early distance,

The approximate sample size can be calculated as:

Sample size=90+190+180+160+120+80+60+40+30+20

Thus, the proportion of runners is obtained as:

\begin{array}{c}\\p = \frac{{\left( \begin{array}{l}\\{\rm{Number of runners who has }}\\\\{\rm{negative time difference}}\\\end{array} \right)}}{{{\rm{Total sample size}}}}\\\\ = \frac{{10}}{{970}}\\\\ = 0.01\\\end{array}

p= Number of runners who has

negative time difference

Total sample size

=10/970

=0.001

The proportion of runners ran the late distance more quickly than the early distance is approximately 1%

EXPLANATION

The obtained proportion is 0.01. It indicates that there are approximately 1% of the runners who ran late distance more quickly than the early distance is very few.

MIDDLE SCHOOL

Express the sum in the simplest form.

(2y/y+2)+(4/y+2)

Answer:

The simplest form of the given expression (2y/y + 2) + (4/y + 2) is

6 + 4y

Step-by-step explanation:

It is given an expression in variable y

(2y/y + 2) + (4/y + 2)

To find the simplest form

(2y/y + 2) + (4/y + 2) = 2y/y + 2 + 4y + 2

= 2 + 2 + 4y + 2

= 6 + 4y

Therefore the simplest form of the given expression is 6 + 4y

COLLEGE

What is 9 times 3 fourths ?

9 * 3/4 = 6.75

You could change 3/4 into a decimal by dividing 3 by 4, which equals ,75.

You could change 3/4 into a decimal by dividing 3 by 4, which equals ,75.

MIDDLE SCHOOL

Lani's mom wants to put a fence around her garden. garden is 22 feet × 18 feet How many feet of fencing will she need?

Answer:

Lani's mom will need 80 ft of fencing

Step-by-step explanation:

We are looking for the perimeter of the garden. We know that the garden is 22 ft x 18 ft. This means that we can find the perimeter using this equation