Answer:
16
Step-by-step explanation:
We could use the distance formula to find the distance between the points in this problem, but when we look we see that the sides of the rectangle are parallel to the x and y-axis for each pair of sides. The first two points have a distance of 3 because 4-1=3. Since it is a rectangle, the opposite side will have the same length. For the sides perpendicular, we look at the points with the same x coordinate. Using (4,2) and (4,-3), we can calculate the length of the side by finding the distance by adding the absolute values of the y coordinate. 2+3=5. This means that the triangle has two sides with a length of 5 and two sides with a length of 3. Adding these together, 5+5+3+3 = 16.
We have been given that the ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years.
We are asked to find the percentage of students that are between 14 and 18 years old.
First of all, we will find z-score corresponding to 14 and 18 using z-score formula.
Similarly, we will find the z-score corresponding to 18.
Now we will find the probability of getting a z-score between 
and 
that is 
.
Using normal distribution table, we will get:
Let us convert 
into percentage.
Therefore, approximately 
of the students are between 14 and 18 years old.
For the answer to the question above, Since Rachel makes 3 bracelets an hour, her linear equation should be y=3h. 3 represents the rate of change and h represents the number of hours as a variable.
Oliver's linear equation is y=2h+5 because 2 is the rate of change and 5 is the b value or the y-intercept in a linear equation y=mx+b. To find when both have the same number of bracelets, we find the point of intersection...
2h+5=3h
5=3h-2h
5=h
Therefore in 5 hours, both will have the same amount of bracelets.
$318.75
multiply 25.5 by 12.5 which equals 318.75.
to know where to put the decimal, you count the numbers to the right of the decimal point. in this equation youre multiplying 25.5 and 12.5. there are 2 numbers to the right of the equation so in your answer, there should be 2 numbers to the right of the decimal.
