A student scored 83 and 91

Asked by maham237 @ in Mathematics viewed by 407 People

A student scored 83 and 91 on her first two quizzes. Write and solve a compound inequality to find the possible values for a third quiz score that would give her an average between 85 and 90, inclusive ...?

Answered by maham237 @


Answer:

The compound inequality is 85\leq \frac{83+91+x}{3}\leq 90

The values for third test score are 81\leq x\leq 96

Step-by-step explanation:

Let the score in the third test is x.

The mean of the scores is given by

\text{Mean}=\frac{\text{sum of observations}}{\text{number of observations}}\\\\\text{Mean}=\frac{83+91+x}{3}

Now, it has been given that average is in between 85 and 90, inclusive. Hence, we have the below compound inequality

85\leq \frac{83+91+x}{3}\leq 90

Now, we can easily solve this compound inequality to find the range of the score of third test

255\leq 174+x\leq 270\\81\leq x\leq 96


Similar Questions

In an examination a student scores 4 marks

Asked by admin @ in Math viewed by 289 persons

In an examination a student scores 4 marks for every correct answer and loss 1 mark for every wrong answer. If he attempts in all 60 questions and secures 130 …

The average score in an examination of 10 students

Asked by admin @ in Math viewed by 375 persons

The average score in an examination of 10 students of a class is 60. if the scores of the top five students are not considered the average score of the …

In which subject did students score best on average across these four years?

Asked by wiki @ in SAT viewed by 3671 persons

Which input value produces the same output value for the two functions on the graph? f(x) equals negative startfraction 2 over 3 endfraction x plus 1. g(x) equals startfraction 1 over 3 endfraction x minus 2. a coordinate grid with two lines. one line labeled f(x) passes through (negative 3, 3), (0, 1), and point (3, negative 1). the second line is labeled g(x) and passes through (negative 3, negative 3), (0, negative 2), and point (3, negative 1). x = –3 x = –1 x = 1 x = 3

Asked by wiki @ in Mathematics viewed by 454 persons

Overcoming fixed mindset: a step-by-step guide to cultivating a growth mindset

Asked by wiki @ in Health viewed by 1279 persons

Which of the following would best complete this list?

Asked by wiki @ in Social Studies viewed by 738 persons

What had the king decided to do before he saw the spider

Asked by vanshika149 @ in English viewed by 1136 persons

Describe the karez in your own words

Asked by rajesh064 @ in English viewed by 1306 persons

What is 8 + (x + 5)?

Asked by jaylord7 @ in Mathematics viewed by 1093 persons

Take any three non-collinear points a b c and draw triangle a,b,c. through each vertex of the triangle draw a line parallel to the opposite side using ruler and compass

Asked by wiki @ in Mathematics viewed by 1492 persons

What is the topic of the info grapher

Asked by jesus643 @ in History viewed by 1390 persons

Elephant kills 11 in nepal , woman rescued from a friendly dolphine

Asked by kavin044 @ in English viewed by 1264 persons

What is the central idea of this excerpt? the goatherd wants the wild goats to join his herd. the bad weather keeps all the goats in their enclosure. the goatherd gives his own goats just enough food to survive. the wild goats leave because the goatherd mistreats his own goats.

Asked by nevaeh10 @ in English viewed by 1589 persons

What is the subject complement in the sentence ‘a long walk up the hill made us tired '

Asked by dog3636R @ in English viewed by 1339 persons

(-3,0);slope =2/3

Asked by timothy2 @ in Biology viewed by 1646 persons

Most viewed questions in Mathematics

Unit 6 similar triangles homework 2 similar figures answer key

Asked by maham237 @ in Mathematics viewed by 18350 persons

All things algebra unit 7 polygons and quadrilaterals answer key

Asked by admin @ in Mathematics viewed by 8153 persons

Gina wilson all things algebra 2016 answer key unit 11

Asked by admin @ in Mathematics viewed by 5770 persons

Unit 1 geometry basics homework 4 angle addition postulate answers

Asked by maham237 @ in Mathematics viewed by 3931 persons

Unit 6 exponents and exponential functions homework 8 answer key

Asked by maham237 @ in Mathematics viewed by 3248 persons

The manager of a vacation resort believes that the ages

Asked by maham237 @ in Mathematics viewed by 2920 persons

What is 271 403 rounded to the nearest ten thousand

Asked by maham237 @ in Mathematics viewed by 2781 persons

Unit 1 geometry basics homework 3 angle relationships answer key

Asked by maham237 @ in Mathematics viewed by 2576 persons

Homework 2 parallelograms

Asked by maham237 @ in Mathematics viewed by 2500 persons

Why would a prism beat a sphere in a competition?

Asked by maham237 @ in Mathematics viewed by 2476 persons

John wants to send a letter to peter

Asked by maham237 @ in Mathematics viewed by 2459 persons

An artist sells a painting for 20.50 but uses 5.75

Asked by maham237 @ in Mathematics viewed by 2425 persons

Unit 4 congruent triangles homework 1 classifying triangles answer key

Asked by maham237 @ in Mathematics viewed by 2415 persons

Unit 4 congruent triangles homework 2 angles of triangles

Asked by maham237 @ in Mathematics viewed by 2070 persons

Compare the values of the 2s and 5s in 55220

Asked by maham237 @ in Mathematics viewed by 1792 persons