An athlete runs 4 miles in 28 minutes and then changes their pace to run the next 4 miles in 32 minutes. Overall, what is the average time in minutes it takes the athlete to run 1 mile?

Correlation of two variables falls into:

Positive correlation: an increase in one variable causes another variable to increase

Negative correlation: an increase in one variable causes another one to decrease

No correlation: a change in one variable does not cause any response in another variable.

From the given choices

Option a is no correlation

Option b is a negative correlation

Option c is a negative correlation

Option d is a positive correlation

When dealing with percent problems, the following is utilized to find the unknown variable.

• Is means equals
• Of means multiply
• What means unknown (variable)

From the problem above, we are looking for the amount of gratuity the couple can leave.

Let t be the amount of gratuity. Translating into an equation, we have

The gratuity is 15% of the total bill, which becomes

Here, of means multiply and we also convert percent into decimal before multiplying.

So, the value of t=5.76

Thus, a couple will leave a gratuity of $5.76, which is about $6.00.

In this scenario, we use the given scale in the charts to find the number of each coin and selected the right number of coins the student collected. The second options shows that the child collected 50 pennies, 45 nickels, 25 dimes, and 5 quarters.

we need to find the net income of the nurse in 4 weeks from the weekly net income.

Weekly net income=gross income-total tax

Total tax=federal income tax+state income tax+Social Security tax

Total tax=$(83.00+38.00+79.00)

Total tax=$200.00

Weekly net income=$(800.00-200.00)=$600.00

In one week, the net income of the nurse is $600.00 and in 4 weeks the nurse will a net income of:

The nurse will earn $2,400.00 in 4 weeks after taxes are deducted.

We asked to convert kg to pounds. There are two ways of converting between kg and pounds

And

Since we are asked to find pounds, we use the second option for kg to cancel during conversion as follows:

Thus, 50 kg is equal to 110 lb.

We are told to find the area of the pizza given its diameter. The pizza is in circular form, and its area is found as:

However, we are not given r, which is the radius of the circle. But we can find it from the given diameter as

Substituting r=8 in the equation of the area of a circle

Thus, the area of the pizza is 64  in2.

NOTE:  (Pi) remains as a symbol because values of Pi can vary from 22/7 to 3.1415 to 3.14 and so forth.

The best way to display the frequency of each day of the week when students get up after 8 a.m. is by using a bar graph. Bar graphs are well-suited for representing categorical data, where each day of the week is a separate category, and the height of each bar corresponds to the count or frequency of students waking up late on that specific day.

Note: Histograms, on the other hand, are more appropriate for visualizing continuous or numerical data and are not ideal for categorical data like days of the week.Histograms are useful for understanding the distribution of data, identifying patterns, and assessing the shape of the data distribution, such as whether it's normally distributed, skewed, or has multiple modes.

As you can see below, the Histogram is used to depict a pattern/continuous/rangedata. While a bar graph does just fine even with discrete data.

we need to form a mathematical expression from the given word problem.

Let the number be x.

Twice a number=2x

Five less than twice a number=2x-5

So the mathematical express from the word problem is 2x-5

we are asked to find the largest value from the options given. To solve this problem, we need to convert all the given values into fraction. Then find the least common denominator for all fractions, which we will use to multiply each fraction and make a comparison.

34÷96=

3/8=3/8

0.372=372/1000

37%=37/100

Now, we need to find the least common denominator of 48, 8, 1000, and 100, which is 6000. We multiply each fraction by 6000 as follows:

17/48*6000=2125

3/8*6000=2250

372/1000*6000=2232

37/100*6000=2220

From the above calculations, arranging the fraction from the largest to the smallest in order is: 3/8, 372/1000,37/100, and 17/48.  Thus, the greatest value is 3/8.

a ratio can be converted to a fraction of the form a/b, where b is not equal to zero. In ratio form, to means per.

From the given information, the class has 15 girls and 13 boys. Thus, the ratio of girls to boys becomes:

In ratio form, girls: boys=15:13

Thus, the ratio of girls to boys in a class of 28 students is 15 to 13.