There are 21 students in class. The median age of the students is 23. The oldest student is 29
Please explain
Answers
Answer:
At least one student is 23: Must be true
Some students are younger than 15: Could be true
Step-by-step explanation:
Statement 1: A median is a number in the middle for ex. 1, 2, 3, 4, 5 in this example 3 is the median. Another ex could be 1, 2, 3, 4, 5, 6. This time you would have to add (3 + 4), divide by 2, which equals 3.5.
Since there are 21 students in class making it an odd number 23 must be true.
Statement 2: Based on the information I am given, I would say could be true because the difference between the oldest and the median is 29 - 23 = 6 so it could be true.
Answer:
1) At least one (the 11th) student is 23 (years old), Must be true
2) Some students are younger than 15 Could be true
Step by step explanation:
1) The given parameters are;
The number of student in the class = 21
The median age of the student = 23
The age of the oldest student = 29
Therefore, given that the median age = The age of the (n + 1)/2 the student
Where;
n = The number of student in the class = 21
The median age = The age of the (21 + 1)/2 th = 11 th student, when the age of the students are arranged in increasing order, therefore, we have;
At least one (the 11th) student is 23 (years old), Must be true
2) Given that there are 10 students with ages equal to or lower than the median age, and the difference between the median age and the age of the oldest student = 29 - 23 = 6 years, we have;
Some students are younger than 15 Could be true
Related Questions
Which of the following is not a right triangle?
a
30, 40, 50
b
9, 40, 41
c
24, 32, 40
d
40, 76, 86
Answers
Answer:
D) 40, 76, 86
Step-by-step explanation:
..........
Question is on the photo
Answers
Answer:
12 cm, 7 cm, 5 cm will not make a triangle
Step-by-step explanation:
The Triangle Length Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. 7 + 5 = 12 which isn't greater than 12.
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). The total score of the four sections on the test ranges from 472 to 528. In spring of 2019, the mean score was 500.9, with a standard deviation of 10.6.
Find the median of the MCAT scores.
Give your answer to three decimal places.
Answers
Using the normal distribution, it is found that the median of the MCAT scores was of 500.9.
Normal Probability Distribution
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The median is also the 50th percentile, hence, in the normal distribution, it is equals to the mean.In this problem, the mean score was 500.9, hence the median score was also of 500.9.
You can learn more about the normal distribution at https://brainly.com/question/24663213
simplify the radical below
3√x^18
Answers
The radical is 3sqrt(x^18)
18/2=9
so, the radical is
3x^9
3√x^18 simplified would be x^6, hope it helps sorry if it doesn’t tho, have a great day!
Suppose the mean GMAT score is 550 with a standard deviation of 100. Hayden takes the GMAT and is told his z-score is 2.5. Interpret the meaning of a z-score in this context. And what's Hayden's Score?
Answers
z-scores are used to describe normal distributions
The interpretation of a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550
How to interpret the z-scoresThe z-score is given as:
z = 2.5
The mean and the standard deviation are:
Mean = 550
Standard deviation = 100
A z-score is the number of standard deviations above or below the mean.
Hence, a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550
Read more about z scores at:
https://brainly.com/question/25638875
Helen is a sales person. She sold a cell phone for $93 and earned 20% commission. How much commission did Helen earn? help quick
Answers
Answer:
18.60
Step-by-step explanation:
Let's first know what commission meaning:
Commission: Commission is the amount of money an employee earns when they sell something
Now Let's Start Solving:
[tex]Formula:\frac{Part}{Whole} =\frac{percent}{100}[/tex]
[tex]\frac{x}{93} =\frac{20percent}{100}[/tex]
[tex]\frac{1860}{100} =\frac{100x}{100}[/tex]
[tex]\frac{1860}{100}[/tex]
[tex]x= 18.60[/tex]
Hence, Helen earn $18.60 in Commission.
[RevyBreeze]
Answer:
Helen earned 18.60 commission, thank me later! :)
lots of points for correct answer!
Gina plotted the points (-3, 4), (4, 4), (-3, -2), and (4, -2) on the coordinate plane.
Determine the height of the quadrilateral. -
Determine the length of the quadrilateral. -
What shape do the points form?
What is the area of the quadrilateral?
What is the perimeter of the quadrilateral?
Answers
Answer:
height: 6 unitslength: 7 unitsshape: rectanglearea 42 square unitsperimeter: 26 unitsStep-by-step explanation:
Height
The height of it is the distance between the bottom and the top. You can count grid squares (6), or you can subtract y-coordinates:
4 -(-2) = 4 +2 = 6
The height of the figure is 6 units.
__
Length
The length is the difference between the left side and the right side. Once again, you can count grid squares (7), or you can subtract x-coordinates:
4 -(-3) = 4 +3 = 7
The length of the figure is 7 units.
__
Shape
The two upper points are on the same horizontal line, as are the two lower points. The two left-side points are on the same vertical line, as are the two right-side points. Vertical and horizontal lines are at right angles, so all of the corner angles are 90°. The quadrilateral is a rectangle.
__
Area
The area of the quadrilateral is the product of its length and height:
A = LH
A = (7 units)(6 units) = 42 units²
The area is 42 square units.
__
Perimeter
The perimeter is the sum of the lengths of the four sides. There are to sides that are 6 units long, and 2 sides that are 7 units long.
P = 2(6 +7) = 26
The perimeter is 26 units.
-7(5k - 4)
Simplify expression
Answers
Answer:
−35k+28
Step-by-step explanation:
the answer is -35k+28
i hope its right
Match together cards with equivalent ratios: 3:4, 10:5, 50:100, 2:1, 5:2, 15:20, 15:6, 1;2,
Answers
Answer:
Step-by-step explanation:
50:100 and 1:2
15:20 and 3:4
15:16 and 5:2
10:5 and 2:1
Hope this helps!
Add the decimals.
3.0001 +72
=
Answers
Answer:
75.0001
Step-by-step explanation:
Used a calculator
A class must have fewer than 18 students due to the number of desks that can be placed in the classroom. Write an inequality that represents this situation. Use the variable n to represent the number of students.
In order for a class to participate in the school's trivia contest, the class must have at least 15 students. Write an inequality that represents this situation.
Answers
Answer:
n < 18n ≥ 15Step-by-step explanation:
The wording "fewer than" is translated to the math symbol "less than". The variable n represents the number of students.
the number of students is fewer than 18
translates to ...
n < 18
__
The wording "at least" translates to the math symbol "greater than or equal to."
the number of students is at least 15
translates to ...
n ≥ 15
The area of a rectangle is 576 cm² and it's breadth is one-fourth of its length.Find the length and breadth of the rectangle.
Answers
Answer:
Hope this helps you.......
Step-by-step explanation:
[tex] \boxed{\blue{\frak{DisneyPrincess29}}}[/tex]
Answer:
breadth = 12 cm and Length is 48 cm
Explanation:
Let the length be x,
then the breadth will be [tex]\frac{1}{4}[/tex]x
Formula for area of rectangle:
length * breadth
using the formula:
x * [tex]\frac{1}{4} x[/tex] = 576
x² = 4(576)
x² = 2304
x = √2304
x = 48
Therefore the Length is 48 cm
Then the breadth [tex]\frac{1}{4}[/tex] * 48 = 12 cm
HELP IM DESPRITE
A furniture designer has less than 175 minutes to spend painting her designs each day. Today, she has spent 45.5 minutes painting a table. Now she will paint x shelves, each of which takes 15.5 minutes.
What is the maximum number of shelves the designer can paint?
Enter your answer in the box.
Answers
Answer:
8
Step-by-step explanation:
45.5 + 15.5x < 175
15.5x < 129.5
x < 8.35
Answer: 8
what is the relationship between slope and unit rate?
Answers
Answer:
For an equation such as y = 2.6x, the slope is the unit rate, which is the coefficient of x. For a table, the change in y divided by the change in x is the unit rate, or slope.
Amelia had 26 sea shells. Then, she collected 10 more sea shells. After that, she gave S sea shells to her little sister. Which of the following shows how many sea shells she has currently?
A. 26 + S + 10
B. 26 - 10 - S
C. 26 + S - 10
D. 26 + 10 - S
Answers
Answer:
26+10-S
Step-by-step explanation:
Answer:
26+10-S or 36-S
Step-by-step explanation:
She has 26 shells and collected 10 more
26+10
And the she gave her sister S shells
26+10-S or 36-S
You must follow the order of operations to find the value of a numerical expression. Why?
Answers
Answer:
its so good out here whwere you frm
if you add 10 grams of sugar into 30 grams of 20% sugar syrup, you will make ..... grams of ....% sugar syrup.
Answers
Answer:
40 grams of 40% sugar syrup
Step-by-step explanation:
It is 40g because you are adding 10g of sugar to 30g of syrup
It is 40 % syrup because you start out with 20% sugar in 30 g. That means the 1/5 of the syrup is sugar. That means that 6g is sugar. Then you add ten more grams of sugar. Now you have 16g of sugar in 40 grams of syrup.
Make equation to find percent
16/40=x/100
x=40
If you add 10 grams of sugar into 30 grams of 20% sugar syrup, you will make 40 grams of 40% sugar syrup.
please help with step by step.
Answers
Answer:
60 ÷ 15
= 4 mins
the constant of proportionality for the number of 4 minutes to read 1 page.
What is the prob of an event that must happen.
Answers
Answer:
%100 Elon Musk going to Mars
Step-by-step explanation:
yes yes yes
i don't know if this is the answer you want
please mark brainliest i need 3 more
Four standard, six-sided dice are to be rolled. If the product of their values turns out to be an even number, what is the probability their sum is odd? Express your answer as a common fraction.
Answers
Answer:
Your answer is 8/15.....
Help please 10 points
Answers
Answer:
1, -2, -4, -6, -6.9, -6.99, -6.999
Several students named their favorite flavor gum. Write the ratio that compares the
number who chose fruit to the total number of students. Write in all 3 ways.
Answers
Answer:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
18. 3
+
11
17
3
4
co
loo
8
Step-by-step explanation:
12. 5
=.
10
10
15. 7
14. 11
hellllllllllllllllllllllllllllllpppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
That equals to 5x5x5 which 5x5x5 = 125
But the correct answer on that quiz is 1st I think
Step-by-step explanation:
Sorry if im wrong
what is 90 divided by 19 +607 divided by 1
Answers
Answer:
611.73
Step-by-step explanation:
90 divided by 19 is 4.73 then add 607 which adds up to 611.73 then divide by 1 which is 611.73
The graph of a function f is shown above. What is the value of [tex]\int\limits^7_0 {f(x)} \, dx[/tex]
Answers
==============================================
Explanation:
Split the graph into separate regions (see the diagram below)
The red trapezoid has the parallel vertical sides of b1 = 1 and b2 = 2. The height of the trapezoid is h = 2
The area of the red trapezoid is
A = h*(b1+b2)/2 = 2*(1+2)/2 = 3
--------------
The blue rectangle has a horizontal side of 2 and vertical side of 2. Its area is 2*2 = 4 square units.
--------------
The pink triangle has a base of 1 and height of 2
area = base*height/2 = 1*2/2 = 1 square unit
--------------
The green triangle has an area of base*height/2 = 2*2/2 = 2 square units
--------------
For any region above the x axis, it gets assigned a positive area. Anything below the x axis gets a negative area to counterbalance the positive areas.
The regions above the x axis add to 3+4+1 = 8 square units. Then we subtract off the area of the green triangle to get 8-2 = 6 square units.
Therefore, [tex]\displaystyle \int_{0}^{7}f(x)dx = 6[/tex]
standard from 4x100+7x10+6x1+6x(1/10)+3x(1/100)+7x(1/1000)
Answers
[tex]{{\boxed{{\tt{\color{blue}{✎A\color{red}{n\color{green}{s\color{lime}{w\color{skyblue}{e\color{cyan}{r\color{blue}{\color{purple}{}}}}}}}}}}}}}[/tex]
4x100+7x10+6x1+6x(1/10)+3x(1/100)+7x(1/1000)
[tex]x(4x {}^{99} + 7x {}^{9} + \frac{6637}{1000} [/tex]can someone please help with my work!
Answers
Answer:
900 km i think
Step-by-step explanation:
umm so first 8*10=80%, then 4500-80%
What is the area of a circle with a diameter of 36 millimeters
Answers
Answer:A≈1017.88
Step-by-step explanation:
Answer:
A = 1017.88
Step-by-step explanation:
srry if its wrong ;-;
Jane has $1 and 6 quarters in her pile. Jeremiah has 10 quarters in his pile. If Jane gives
Jeremiah $1 and Jeremiah gives Jane 4 quarters, will the two piles still be equal in value? Explain
Answers
MULTIPLE CHOICE QUESTION
SOLVING SYSTEMS OF EQUATIONS BY ELIMINATION
(5x-y=74
x + 4y = 14
2x=y=5
7x+2y=-10
Which of the following will be the new
equation when the top equation
is multiplied by 4?
5x-4y=7
20x-4y=7
20x-4y=28
5x-y=28
Answers
Answer:
It will be: ( 5x - y =7 )4
20x - 4y = 28
Option (C)