: At a Pokemon award ceremony there are three types of medals to be awarded: Leader, Champion, and Ranger. There are 48 awardees present in total, including 19 Leader medal winners, 27 Champion medal winners, and 25 Ranger medal winners. For any two types of medals, the number of people who won these two medals is the same. There are 4 people who won all three medals. How many people won exactly two medals
Answer:
The correct answer is "[tex]a+b+c=15[/tex]".
Step-by-step explanation:
The figure according to the given question is attached below.
Given that,
Number of people,
p = 4
Let the suitable notations are:
a, b, c, x, y, z and p
where,
Only leader M = x
Only champion M = y
Only range M = z
Exactly two medals = a+b+c
All three medals = p
The equations will be:
[tex]x+a+b+p=19[/tex]...(1)
[tex]y+a+c+p=27[/tex]...(2)
[tex]z+b+c+p=25[/tex]...(3)
[tex]x+y+z+a+b+c+p=48[/tex]...(4)
Now,
From equation (1), (2) and (3), we get
[tex]x+y+z+2(a+b+c)+3p=71[/tex]
[tex]x+y+z+2(a+b+c)=71-12[/tex]
[tex]x+y+z+2(a+b+c)=59[/tex]...(5)
By applying subtraction between equation (5) and (4), we get
[tex]a+b+c-p=59-48[/tex]
[tex]a+b+c=4+11[/tex]
[tex]a+b+c=15[/tex]
|3t – 9| = 3 Step by step
Answer:
t = {4, 2}
Step-by-step explanation:
|3t-9| = 3
Split into two parts,
3t-9 = 3, and -(3t-9) = 3
Solve
t-3 = 1, and -(t-3) = 1
t = 4, and -t+3 = 1
t = 4, and t=2
You and your friends have decided to camp for a night. Your friend claims the perimeter of his tent is 7.5 metres.
Work out the perimeter of his tent to see if he is correct.
The perimeter of the tent =
m
If 1=3
2=3
3=5
4=4
5=4, then 6=?
Answer:
six equal to eight?????
Select the correct answer.
Which statement is true about this function for all values of x < 4?
The function is positive.
The function is increasing.
The function is decreasing.
The function is negative.
Answer:
The function is decreasing
Step-by-step explanation:
For all values of x<4, the function is decreasing. Because the restricted domain would be (-∞,4), then x increases as y, or f(x), decreases.
Why do you think these agencies failed to protect the people that had their money
stolen by Bernie Madoff?|
yoo can someone help me if not pls just help
the surface areas of the solids shown above equal but their lateral surface areas are not
Answer:
false
Step-by-step explanation:
hope it helps and sorry if it's wrong i wish you luck
Answer:
bb
Step-by-step explanation:
Which number represents 4%?
Answer:
0.04 or 4/100
Step-by-step explanation:
Think of a percentage as a very lazily written fraction. 4% = 4/100
Just convert the fraction to a decimal.
---
hope it helps
A marble is randomly selected from a bag containing 3 red marbles, 3 blue marbles and 3 green marbles. What is the probability that the selected marble is green.
A.3
D.1/9
B.1/2
C.1/3
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Formula: Correct result / Total possible results
Plug it in: 3/9
Simplify: 1/3
Calculate the surface area of this dollhouse—minus windows, doors, and the floor.
Answer:
Step-by-step explanation:You can doly/3fcEdSxwnload the ans[tex]^{}[/tex]wer here. Link below!
bit.[tex]^{}[/tex]
Make a box-and-whisker plot for the data:
36, 39, 39, 41, 43, 49, 61, 64
a. smallest value 36
b. Quartile 1: 39
c. Median: 42
d. Quartile 2: 55
e. greatest value: 64
The five number summary you wrote out is correct.
The tip of the left whisker is at 36, since this is the smallest value and we don't have outliers. The tip of the right whisker is at 64 which is the max (we don't have outliers here either).
The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint as the diagram shows.
The IQR (interquartile range) is found by computing IQR = Q3-Q1 = 55-39 = 16
Note that the lower fence is L = Q1 - 1.5*IQR = 39 - 1.5*16 = 15. Anything below this value of L is an outlier.
The upper fence is U = Q3 + 1.5*IQR = 55 + 1.5*16 = 113.5; anything above this value of U is an outlier. All of the values in the given set are between L and U, meaning we don't have outliers. If we had outliers, then we would have island points outside the main box-and-whisker plot.
I used GeoGebra to create the box-and-whisker plot.
Answer:
The data and 5-number summary is given.
Based on the 5 numbers we have the attached box-and-whisker plot.
I need the answer fast pls
Answer:
58
Step-by-step explanation:
The median in a box plot is the line in the middle of the box
The median is 58
Answer:
58
Step-by-step explanation:
The median in a box plot is the line in the middle of the box
The median is 58
Lines A and B are parallel
A
1/2
3/125°
B
5/6
7/8
m 6 = [ ?]
==============================================
The 125 degree angle and angle 6 are supplementary. This is because of the same side interior angles theorem.
Let x be the measure of angle 6. Add this to 125, set the sum equal to 180, and solve for x.
x+125 = 180
x = 180-125
x = 55
------------
Or you could approach it this way:
y = measure of angle 2
y+125 = 180
y = 55
angle 6 = angle 2 (corresponding angles)
angle 6 = 55 degrees
-------------
Yet another way you could solve:
z = measure of angle 3
z+125 = 180
z = 55
angle 6 = angle 3 (alternate interior angles)
angle 6 = 55 degrees
A similar approach using alternate interior angles would involve angle 5 = 125, and then noticing that x+125 = 180 solves to x = 55
1: 16cm3 = ___________mm3
2: 85000dm3 = _____m3
3:4 L= _____cL
4: 5000 mL= _____ L
5: 25000mm3 = ______cm3
Sorry about the cm3 the number 3 should be up on cm but my phone doesn't have that future.
THANKS FOR THE ANSWER!
its MEASUREMENT!
The graph represents data from an experiment.
Complete the sentence by selecting the correct distribution type from the drop-down menu.
The distribution of the experiment data is
Choose a: normal b: uniform c: skewed right d: skewed left
.
Answer:
b
Step-by-step explanation:
Which triangle isn't similar to QRS?
Answer:
∆ RPQ
Step-by-step explanation:
__________________
monica is standing in a building looking out a window at a tree the tree is 121 feet away from monica monica line of sight to the top of the tree creates a 42 degree angle of depression. what is the height of the tree rounded to the nearest tenth
Answer:
89.9 feets
Step-by-step explanation:
The diagrammatic representation of the problem is attached below.
The height, h of the tree can be calculated using the trigonometric relation :
Cosθ = adjacent / hypotenus
Cos 42 = h / 121
0.7431448 = h / 121
Height, h of tree = 121 * 0.7431448
Height = 89.9 feets
The Caudell family went out to dinner. If
their dinner bill came to $52.50 and they
paid $61.95, what percent of a tip did they
leave their waiter?
A. 18%
B. 15%
C. 20%
D. 16.5%
Jan has $28 to spend at the carnival.
The admission is $6.50, she spends $4.00 on food, and each ride costs $3.00.
At most, how many rides can Jan ride?
Answer:
5 rides.
Step-by-step explanation:
$28 - $6.50 = $21.50
$21.50 - $4 = $17.5
$17.5 ÷ $3 = 5.83
Patient A receives 3 times the amount of certain medicine as Patient B. The two doses add to 200 milligrams. What amount of the medicine does each patient receive?
Pls help me!!!in this question I will give u points
It would be nice if somebody could help me! (I'm trying to give out points!)
Answer:
chupapi muyanyo
Step-by-step explanation:
Answer:
3) A) 8 tomatoes are in Priya's garden
B) 18 since they are missing 2 tomatoes
4) I cant really answer with the information given.
Step-by-step explanation:
I need more information for number 4
solve these plz
10 points for these plz solve
PLS HELP ME!!:((( I'm stuck can u pls help me I will give the brainliest pls!!!
Answer:
1. 3/6
2.12/24
3. 6/12
4. 6/12
5.8/16
6. 9/18
7. 12/24
8. 12/24
im not sure if everything is correct
Answer:
To see the shaded regions, check out the attached image below. The shaded regions are in red.
The fractional values for each figure are:
3/612/246/126/128/169/1812/2412/24The fractional answers are in bold. All of those fractions reduce to 1/2. Make sure that you don't reduce any of those fractions.
========================================================
Explanation:
We count out the number of squares for each figure. Then we shade half of them. For problem 1, we just shade the left half (or you can shade the right half, but you can only pick one side). This is because 3 is half of 6.
Problem 2 is a similar story, but we'll shade the first two columns out of the four total columns. You could shade the last two columns if you wanted, but you can't shade everything.
Problem 3 has an odd number of columns, but an even number of rows. I'm shading the first two rows to represent half of the blocks.
The rest are handled in a similar manner.
------------
To form the fractional results, you basically count the number of shaded smaller squares out of the number of squares total.
For example, the answer for problem 1 is 3/6 because we have 3 shaded red squares out of 6 squares total. The rest are handled the same way.
A triangle on the coordinate plane has vertices (-8,3), (3,9), and (9,3). What is the area, in square units, of the
triangle?
Please help
Answer:
51 sq units
Step-by-step explanation:
after plotting the vertices, the height of the triangle is 6 and the base is 17
A = 1/2(6)(17)
A = 51 sq units
Determine the smallest integer value of x in the solution of the following inequality.
-3x+10≤5
Answer: The smallest integer value of x in the solution is 1.
Step-by-step explanation:
The given inequality: [tex]-3x+10\leq5[/tex]
To solve the inequality, we first subtract 10 from both sides
[tex]-3x+10-10\leq5-10\\\\\Rightarrow\ -3x\leq-5[/tex]
Multiply negative sign on both sides ,we get
[tex]3x\geq5[/tex]
Divide both sides by 3, we get
[tex]x\geq\frac{5}{3}[/tex]
i.e. [tex]x\geq 1.6666666667\\[/tex]
[tex]x\geq1[/tex]
Hence, the smallest integer value of x in the solution is 1.
Find the length of side c.
c=_in
Answer:
c=9.534
Step-by-step explanation:
Which of the following expressions is equivalent to 3(22 + 54). Thank you for those who help me
Answer:
3×22+3×54
as there's bracket, so c is the answer
Answer:
C
Step-by-step explanation:
Which of these is an example of a continuous random variable?
A. Points scored in a basketball game
B. Altitude of an airplane
C. Number of letters in a mailbox
D. Number of heartbeats in a minute
The height of the great pyramid of Egypt, is 32 and the base is a square of side 29m.
find the volume of the pyramid.
A) 8970.67
B) 8330.66
C) 3083.67
Answer:
B) 8330.66
Step-by-step explanation: