Question

A student has scores of 58.5, 56.75, and 62.25 on his first three tests. He needs an average of at least 60 to earn a grade of D. What is the minimum score that the student needs on the fourth test to ensure a D?

53

likes
264 views

Answer to a math question A student has scores of 58.5, 56.75, and 62.25 on his first three tests. He needs an average of at least 60 to earn a grade of D. What is the minimum score that the student needs on the fourth test to ensure a D?

Expert avatar
Jett
4.7
97 Answers
1. Sum the scores of the first three tests:
58.5 + 56.75 + 62.25 = 177.5
2. Set up the inequality for the average of the four tests:
\frac{177.5 + x}{4} \geq 60
3. Multiply both sides by 4 to clear the denominator:
177.5 + x \geq 240
4. Subtract 177.5 from both sides to solve for \( x \):
x \geq 62.5
Answer: The minimum score that the student needs on the fourth test to ensure a D is 62.5.

Frequently asked questions (FAQs)
What is the limit of (x^3 - 2x^2 + 3x) as x approaches 2?
+
What are the characteristics of the ellipse function given by (x^2/a^2) + (y^2/b^2) = 1?
+
What is the maximum value of the quadratic function f(x) = x^2, where x is any real number?
+
New questions in Mathematics
reduction method 2x-y=13 x+y=-1
The sum of an infinite geometric series is 13,5 The sum of the same series, calculated from the third term is 1,5. Q. Calculate r if r>0.
How many percent is one second out a 24 hour?
Investing equal amounts of money into each of five business ventures Let's say you plan. 20 to choose from If there are initiatives, how many different ones among 20 initiatives? five startups can be selected?
Consider numbers from 1 to 2023. We delete 3 consecutive numbers so, that the avarage of the left numbers is a whole number
9b^2-6b-5
The miles per gallon (mpg) for each of 20 medium-sized cars selected from a production line during the month of March are listed below. 23.0 21.2 23.5 23.6 20.1 24.3 25.2 26.9 24.6 22.6 26.1 23.1 25.8 24.6 24.3 24.1 24.8 22.1 22.8 24.5 (a) Find the z-scores for the largest measurement. (Round your answers to two decimal places.) z =
Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll?
∫ √9x + 1 dx
89, ÷ 10
Scores are normally distributed with a mean of 25 and standard deviation of 5. Find the probability that sixteen randomly selected students have a mean score that is less than 24.
30y - y . y = 144
factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30
prove that for sets SS, AA, BB, and CC, where AA, BB, and CC are subsets of SS, the following equality holds: (A−B)−C=(A−C)−(B−C)
7- A printing company found in its investigations that there were an average of 6 errors in 150-page prints. Based on this information, what is the probability of there being 48 errors in a 1200-page job?
Evaluate ab+dc if a=56 , b=−34 , c=0.4 , and d=12 . Write in simplest form.
To paint a 250 m wall, a number of workers were employed. If the wall were 30 m longer, 9 more workers would be needed. How many were employed at the beginning?
calculate the product of 4 and 1/8
A rectangular swimming pool has a length of 14 feet, a width of 26 feet and a depth of 5 feet. Round answers to the nearest hundredth as needed. (a) How many cubic feet of water can the pool hold? cubic feet (b) The manufacturer suggests filling the pool to 95% capacity. How many cubic feet of water is this? cubic feet
Find the rule that connects the first number to the second number of each pair. Apply the rule to find the missing number in the third pair. (18 is to 22) (54 is to 26) (9 is to ?)