All categories

2 years ago

Sean received both the 5th highest and the 5th lowest mark in the class. How many students are there in the class?

Mathematics

2 answers:

devlian [24]2 years ago

7 0

The number of students in the class is given by the sum of the frequency

of each score.

There are at least 9 students in the class.

Reasons:

When the class scores are arranged in increasing order, we have;

Sean's position = 5 th = The fifth lowest score

Therefore;

The number of scores lower than Sean's score = 4

When the scores are arranged in decreasing order, we have;

Sean's position = 5 th = Fifth highest score

Therefore;

The number of scores higher than Sean's score = 4

The total number of different scores in the class = 4 + 1 + 4 = 9

Given that two or more students can have the same score, the frequency

of each score, determines the number of students in the class, we have;

The number of students in the class, n ≥ 9

Learn more about data frequency here:

brainly.com/question/14298164

Kay [80]2 years ago

4 0

Answer:

There are 9 people in the class.

Step-by-step explanation:

Sean received the 5th highest grade in his class meaning that there are 4 people in front of him who got a higher grade. This also means that Sean has 4 people behind him who have lower grades. So,

4+4+1 (Sean himself) = 9 people

You might be interested in

-12.5 would be between the numbers ___ and ___ because...

kolezko [41]

Answer:

- 12.5 would be between the numbers - 12 and - 13.

7 0

2 years ago

Given that I pint = 0.5 quarts, complete the conversion 76 pints= ?

eduard

Answer:

Step-by-step explanation:

38 quarts

8 0

2 years ago

Read 2 more answers

A person standing close to the edge on top of a 24-foot building throws a ball vertically upward. The quadratic function h(t)=−1

Nutka1998 [239]

Answer:

a) maximum height is 156.25 ft

b) 6 seconds

Step-by-step explanation:

a) The maximum height can be found by finding the y-coordinate of the vertex. The vertex is the highest point in a parabola opened downward.

I start with by finding the t-coordinate of the vertex.

The t-coordinate of the vertex is $\frac{-b}{2a}$ where the expression $-16t^2+92t+24$ will need to be compared to $at^2+bt+c$ .

We see that $a=-16,b=92,c=24$ .

So the t-coordinate of the vertex is $\frac{-b}{2a}=\frac{-92}{2(-16)}=\frac{-92}{-32}=\frac{23}{8}$ .

We can find the h, the height, that corresponds to this t by using the equation $h=-16t^2+92t+24$ where $t=\frac{23}{8}$ .

So inserting 23/8 for $t$ .

$-16(23/8)^2+92(23/8)+24$

Plugging into calculator gives you 625/4.

So the maximum height is 625/4 or 156.25.

b) Let's find how long it takes the ball to hit the ground. If the ball is on the ground, then the distance between the ball and the ground is 0. So we are looking to solve h(t)=0 for t.

So this is equation we are solving for t:

$-16t^2+92t+24=0$

These numbers are big but since all the terms have a common factor we can make them slightly smaller.

That is, we are going to divide both sides by -4 and see

$4t^2-23t-6=0$

It looks like it could be possible to factor.

a=4

b=-23

c=-6

We need to find two numbers that multiply to be ac and add up to be b.

a*c=4(-6)=-24

b=-23

So -24=-24*1 and -23=-24+1.

We are going to replace -23t with -24t+1t giving up something that should be factorable by grouping.

$4t^2-23t-6=0$

$4t^2-24t+1t-6=0$

Group the first 2 together and group the last two together:

$(4t^2-24t)+(1t-6)=0$

Factor what you can from each pair:

$4t(t-6)+1(t-6)=0$

Now each term has a common factor of (t-6) so factor that out giving you:

$(t-6)(4t+1)=0$

Set both factors equal to 0 giving you

t-6=0 or 4t+1=0

t=6 or 4t =-1

t=6 or t=-1/4

So it hit the ground in 6 seconds.

8 0

3 years ago

This is for go math by the way. What is 180 divided by 15?

Paha777 [63]

Answer:

12

Step-by-step explanation:

180/15 = 60/5 = 12

3 0

2 years ago

Jeremy Jax says his car averages 32 miles per gallon of gasoline. How many gallons

Brilliant_brown [7]

Answer:

Step-by-step explanation:

Probably the easiest way to set this up and solve it is to use proportions. We'll put miles on the top and gallons on the bottom:

$\frac{mi}{gal} :$

Since we know the first unit rate of 32 miles per 1 gallon, we put those numbers where they belong in another fraction (ratio), with the number of miles on top with the "mi" and the number of gallons on bottom with the "gal":

$\frac{mi}{gal} :\frac{32}{1}=$

Now we fill in what we know about the second ratio and leave the unknown to be solved for. We want to know how many gallons of gas, x, does he need to travel 500 miles. We put the 500 with the "mi" and the x for "gal":

$\frac{mi}{gal} :\frac{32}{1} =\frac{500}{x}$

and cross multiply to solve.

32x = 500 so

x = 15.6 or, to the nearest whole gallon, 16 gallons.

5 0

3 years ago