A student's test grades are 75, 79, 88, and 94. What score of the fifth exam will make the average at least 85?

Write your answer as an inequality statement. Use x as the variable.

89≤x

Step-by-step explanation:

This involves the combination of the average formula as well as use of an inequality. The first step is to write an inequality to represent the situation.

85≤(75+79+88+94+x)/5

85*5≤(75+79+88+94+x)/5*5

425≤75+79+88+94+x

425≤336+x

425-336≤336+x-336

89≤x

The student will need to make at least an 89 on the fifth exam to make an average of at least 85.

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for