72 is the minimum grade he must get on the last test in order to have an average of 77.
<u>Step-by-step explanation:</u>
The grades of a student are given 72,91,78,72 and the grade of his last test is not given.
- You have to find the minimum grade the student shall get, so that the student average must be 77.
- The four grades are already given. Therefore, we need to find only the fifth grade.
The term average is defined as the sum of all the data in a set divided by the number of data in a set.
Here, the number of data is 5. (Because the students has 4 grades plus one grade for his last test).
The average he should get is 77.
Average = Sum of all grades / number of grades
Let, 'x' be the grade of the last test.
⇒ 77 = (72+91+78+72+x) / 5
⇒ 77 = (313+x) / 5
⇒ 385 = 313 + x
⇒ x = 385 - 313
⇒ x = 72
The minimum grade he must get on the last test is 72.
It's -3.5 sorry forgot to put in order
Before we dive into the explanation, these shaded regions are called sectors.
To solve for the shaded regions, we must use this formula
Area of the shaded region 1 =
(central angle/360)x
the area of a circle is pi x radius squared, so we are basically saying this chunk of the area of the circle is the area of the shaded region. The central area in this case is 72. Now we know what fraction of the circle is one of the shaded region, because it is the same fraction as the central angle to 360. All we have left to do is plug it in. (BTW, the shaded regions are equal because their central angles are the same, so all we have to do is solve for one and multiply it by two).
Area of shaded region 1 = (72/360) x pi x 100
= (72/18) x pi x 5
= (360/18) x pi
= 20
Area of all shaded regions = (area of shaded region 1) x 2
= 20
x 2
= 40
84% of the students have grade point averages that are at least 2.16
<h3>
Empirical rule</h3>
Empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean, 99.7% are within three standard deviation from the mean.
68% = mean ± standard deviation = 2.61 ± 0.45 = (2.16, 3.06)
The percentage of the students have grade point averages that are at least 2.16 = 68% + (100% - 68%)/2 = 84%
84% of the students have grade point averages that are at least 2.16
Find out more on Empirical rule at: brainly.com/question/10093236
2x6=12
<span>3x4=12
</span>So there are 2 different ways can she place <span>them all in the vases</span>