Each day last week, Ms. Wilson walked 3/4 mile. What is the total distance, in miles, that Ms. Wilson walked in four days.

Suppose you have been on the train for at least 5 hours. A passenger

lesya692 [45]

Answer:

$h \leq 5$

Step-by-step explanation:

Time already spent on the train is at least 5 hours

Since the trip to Fairbanks take 10 hours, we have that, the sum of the number of hours left, h and the time already spent will be equal to 10.

$t+h=10\\$Since the time for which the passenger has been on the train \geq 5\\5+h \leq 10\\h \leq 10-5\\$The inequality that describes in how many more hours, h the train will reach Fairbanks, therefore, is:\\h \leq 5$

4 0

3 years ago

What is the area of a triangle with a base length of 2 1/2 inches and a height of 2 inches

Sedaia [141]

Hello I am happy to help you with this problem. So the formula to solve for a triangle is A = bxh divided by 2.
So it’s area equals base times height divided by 2. So the base is 2 1/2 which becomes 5/2 ( five over 2) times 2 which equals 5. It’s because you cancel. So 5 divided by 2 equals 5/2 which also equals 2 1/2.

I hope that helps you. If you have any questions please feel free to ask me.

6 0

4 years ago

A law school administrator was interested in whether a student's score on the entrance exam can be used to predict a student's g

frutty [35]

Answer:

The correlation coeffcient for this case was provided:

r =0.934

And this coefficient is very near to 1 the maximum possible value, so then we can interpret that the relationship between the entrace exam score and the grade point average are strongly linearly correlated .

We can also find the $r^2$ who represent the determination coefficient and we got:

$r^2 = 0.934^2= 0.872$

And the interpretation for this is that a linear model explains appproximately 87.2% of the variability between the two variables

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

The correlation coeffcient for this case was provided:

r =0.934

And this coefficient is very near to 1 the maximum possible value, so then we can interpret that the relationship between the entrace exam score and the grade point average are strongly linearly correlated .

We can also find the $r^2$ who represent the determination coefficient and we got:

$r^2 = 0.934^2= 0.872$

And the interpretation for this is that a linear model explains appproximately 87.2% of the variability between the two variables

8 0

3 years ago

Which best explains what determines whether a number is irrational?

Mkey [24]

Answer: The correct answer is Choice D.

An irrational number is a number that can be written as a decimal but never terminates or repeats.

A good example of an irrational number is the number pi. We know that it begins as 3.14. However, that is only the beginning. It goes on forever without repeating or terminating.

5 0

3 years ago

Read 2 more answers

What is the quotient of 4 1/4 / 2 1/5

Snezhnost [94]

The quotient for the given mixed fraction is 1.9318

Step-by-step explanation:

Step 1; First we must convert the mixed fractions into improper fractions. To do that the whole number is multiplied with the denominator and add with it the numerator while the denominator does not change. To convert this fraction $4\frac{1}{4}$ we multiply 4 with 4 and then add 1 and keep the 4 as the fraction's denominator so we get $\frac{17}{4}$ . Similarly, we get the improper fraction $\frac{11}{5}$ for converting the mixed fraction $2\frac{1}{5}$ .

Step 2; After conversion, it's just a matter of division. The fraction $\frac{17}{4}$ equals 4.25 while the denominator $\frac{11}{5}$ equals 2.2. Dividing 4.25 by 2.2 we get 1.9318.

5 0

4 years ago