Answer:
5 dogs have not learned any tricks
Step-by-step explanation:
Let B represent the blue ribbons, G represent green ribbon and W represent white ribbon
n(B) = 62, n(G) = 55, n(W) = 63, n(B ∩ G ) = 32, n(G ∩ W ) = 31, n(B ∩ W) = 38, n(B ∩ G ∩ W) = 16
n(B ∩ G ∩ W') = those with only blue and green color = n(B ∩ G ) - n(B ∩ G ∩ W) = 32 - 16 = 16
n(B ∩ G' ∩ W) = those with only blue and white color = n(B ∩ W) - n(B ∩ G ∩ W) = 38 - 16 = 22
n(B' ∩ G ∩ W) = those with only white and green color = n(G ∩ W ) - n(B ∩ G ∩ W) = 31 - 16 = 15
n(B ∩ G' ∩ W') = those with only blue color = n(B) - n(B ∩ G ∩ W') - n(B ∩ G' ∩ W) - n(B ∩ G ∩ W) = 62 - 16 - 22 - 16 = 8
n(B' ∩ G ∩ W') = those with only green color = n(G) - n(B ∩ G ∩ W') - n(B' ∩ G ∩ W) - n(B ∩ G ∩ W) = 55 - 16 - 15 - 16 = 8
n(B' ∩ G' ∩ W) = those with only white color = n(W) - n(B' ∩ G ∩ W) - n(B ∩ G' ∩ W) - n(B ∩ G ∩ W) = 63 - 22 - 15 - 16 = 10
Those dogs without trick = n(B ∪ G ∪ W)' = 100 - n(B' ∩ G' ∩ W) - n(B' ∩ G ∩ W') - n(B ∩ G' ∩ W') - - n(B ∩ G ∩ W) - n(B ∩ G ∩ W') - n(B' ∩ G ∩ W) - n(B ∩ G; ∩ W) = 100 - 10 - 8 - 8 - 16 - 16 - 22 - 15 = 5
5/6 x 1/3 - 1-9
help please !!!!!!
Answer:
3/18 or 2/6
Step-by-step explanation:
5/18 -1/9 =(1×5)/(1×18) -(2×1)/(2×9) =5/18 -2/18 =(5-2)/18=3/18
Which inequality is true when x=4?
2. Find the slope, or rate of change, represented in the table below. -1 x 0 1 2 3 Y-8 3 14 25 36
Answer:
11
Step-by-step explanation:
Given the data:
X: - 1 _ 0 _ 1 _ 2 _ 3
Y: -8 _ 3 _ 14 _ 25 _36
Slope = Rise / Run
Rise = y2 - y1 = 36 - (-8) = 36 + 8 = 44
Run = x2 - x1 = 3 - (-1) = 3 + 1 = 4
Slope = 44 / 4
Slope = 11
Rate of changeb/ slope = 11
The triangular prism....
Answer:
12 is the area of GHI
216 is the volume
I think would be 5 (the length)
This is all I know so far I dont know how to find the surface area.
Reflection/rotation question!
B C D ~ F G E; Find FE
Answer:
Given :
ΔBCD ≈ ΔFGE
x = 6
FG = 4x + 2 = 4 × 6 +2 = 26
EF = 5x - 2 = 5 × 6 -2 = 28
Step-by-step explanation:
The value of the side FE of the triangle FGE is FE = 28
What are Congruent Triangles?
Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be ΔBCD
Let the second triangle be ΔEFG
Now , the triangle BCD and triangle EFG are similar by congruency
So , From the congruent triangle theorem ,
ΔBCD ≅ ΔEFG
So , the sides are congruent from the theorem
BD / FE = CB / FG
Substituting the values in the equation , we get
42 / ( 5x - 2 ) = 39 / ( 4x + 2 )
Cross multiplying the equations , we get
168x + 84 = 195x - 78
Subtracting 168x on both sides of the equation , we get
27x -78 = 84
Adding 78 on both sides of the equation , we get
27x = 162
Divide by 27 on both sides of the equation , we get
x = 6
So , substitute the value of x from the sides FE and FG , we get
The value of FE = 5x - 2
The value of FE = 5 ( 6 ) - 2
The value of FE = 30 - 2
The value of FE = 28
Therefore , the value of FE is 28
Hence , The value of the side FE of the triangle FGE is FE = 28
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someone help quick!?
Answer:
can you write the question so I can understand what to do
Pls help is just need to find the equivalent expression
Answer:
15x+20y+5z
Step-by-step explanation:
Trust me.
pls help no wrong answers
Answer:
angle dgc=90°
angle age=30°
to find=x
angle dgc=angle agb(by vertical opposite angle)
ege is a straight line.
angle age+angle agb+angle bgf=180°[straight line measure 180°]
30°+ 90°+x=180°
120°+x=180°
x=180°-120°
x=60°
if you walk 2 1/4 miles in 3/4 miles, how far can you walk in 2 1/2
2 1/2 = 5/2
1 3/4 = 7/4
(5/2)/1 = x/(7/4) set up a proportion: 5/2 miles in 1 hour = x miles in 7/4 hours
x = (5/2)*(7/4)
x= 35/8
AE
The diameter of a circle is 16 centimeters. How would you calculate the area?
Pls
Answer:
d=2r
16=2r
8=r
A=201.06cm2
Anna drew a scale drawing of the elementary school. The school yard, which is 142 meters long in real life, is 213 millimeters long in the drawing. What is the scale of the drawing?
Answer:
30,246
Step-by-step explanation:
multiply the two numbers
Can someone plz help me with this one problem plzzzzz !!!
I’M MARKING BRAINLIEST!!!
Answer:
7=19
9=23
10=25
Step-by-step explanation:
The list shows the number of minutes that eight students spent on math homework last week. 22, 14, 24, 20, 36, 28, 43, 35What is the mean absolute deviation of the numbers
Given:
The data values are:
22, 14, 24, 20, 36, 28, 43, 35
To find:
The mean absolute deviation of the given numbers.
Solution:
We have,
22, 14, 24, 20, 36, 28, 43, 35
The measure of the given numbers is:
[tex]\overline{x}=\dfrac{\sum_{i=1}^{n} x_i}{n}[/tex]
Where, [tex]x_i[/tex] represents the observations and n is the number of observation.
So, the mean value of the given data set is:
[tex]\overline{x}=\dfrac{22+14+24+20+36+28+43+35}{8}[/tex]
[tex]\overline{x}=\dfrac{222}{8}[/tex]
[tex]\overline{x}=27.75[/tex]
The formula for is mean absolute deviation is:
[tex]M.A.D.=\dfrac{1}{n}\sum_{i=1}^{n}|x_i-\overline{x}|[/tex]
The mean absolute deviation of the given numbers is:
[tex]M.A.D.=\dfrac{1}{8}[|22-27.75|+|14-27.75|+|24-27.75|+|20-27.75|+|36-27.75|+|28-27.75|+|43-27.75|+|35-27.75|][/tex]
[tex]M.A.D.=\dfrac{1}{8}[5.75+13.75+3.75+7.75+8.25+0.25+15.25+7.25][/tex]
[tex]M.A.D.=\dfrac{1}{8}[62][/tex]
[tex]M.A.D.=7.75[/tex]
Therefore, the mean absolute deviation of the given numbers is 7.75.
8y + 12 = 4y - 4
a. y = -4
b. y = -2
c. y = -1
d. y = -5
Answer:
a. y = -4
Step-by-step explanation:
i hope this helps :)
Step-by-step explanation:
4y=-16
So the answer is y= - 4
Someone pls help solve the area of this trapezium
Answer:
This is your answer ☺️☺️☺️
Mr. K goes to the bank to withdraw some money. He requests that he only get $20 bills and $5 bills. Altogether, Mr. K got 30 bills. The total value of the money is $300. How many of each bill did Mr. K get?
Answer:
10 $20 bills and 20 $5 bills
Step-by-step explanation:
The average consumption of milk, m in gallons, per person per year can be approximated by the equation m= -0.13t+8 where t is the number of years after 1997. Predict the consumption of milk in the year 2008. Hint: find the value of t that corresponds to the year 2008.
Answer: 6.57 gallons
Step-by-step explanation:
Given
The average consumption of milk per person per year is
[tex]\Rightarrow m=-0.13t+8[/tex]
In year 2008 i.e. t=2008-1997=11 years
Put the value in the equation
[tex]\Rightarrow m=-0.13\times 11+8\\\\\Rightarrow m=-1.43+8=6.57\ \text{Gallons}[/tex]
So, it is 6.57 gallons in year 2008
Please help ASAP! Geometry gotta find the angle measures.
Tracy flips a coin 36 times.
How many times should she expect the coin to land on heads?
HELP ASAP WILL MARK BRAINLIEST. ARE THESE ANSWERS CORRECT
Answer:
yes
Step-by-step explanation:
ILL GIVE BRAINLIEST TO WHOEVER ANSWERS
A plain hamburger costs $5. Each additional condiment that is
added costs $0.30. Which of the following could be used to
determine, c, the cost for a hamburger with n number of
toppings?
A. c=5+0.3n
B. c=3+0.5n
C. c=(3n+5)0.3
D. c=(5.3)n
Answer:
A
Step-by-step explanation:
5+0.3n
i mean do you need explanation? i think it very obvious
it’s kinda hard to read soo
A lake near The Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing it’s thickness to decrease at a rate of 0.2m per week. After 7 weeks, the sheet is only 2.4m thick.
Let y represent the ice sheets thickness (in meters) after x weeks.
Complete the equation for the relationship between the thickness a number of weeks.
Answer:
3.8
Step-by-step explanation:
0.2 x 7=1.4
1.4+2.4=3.8
John's recipe makes 24 chocolate chip cookies per batch. If he makes x batches and gives y cookies to each of his 6 friends, write an expression for the number of cookies John has left.
Answer:
24x - 6y = Cookies John has left
Step-by-step explanation:
Find the missing side length.
[tex]y^2+(2\sqrt{2} )^2=6^2\\y^2+8=36\\y^2=28\\y=\sqrt{28}[/tex]
[tex]\sqrt{28} ^2+2^{2} =x^2\\28+4=x^2\\x^2=32\\x=\sqrt{32}[/tex]
Mr. Randell has wrenches in a toolbox. The total mass of the wrenches in the toolbox is 3 kilograms. Mr. Randell rakes out one wrench that has a mass of 350 grams. What is the mass in grams of the wrenches left in the toolbox?
Main needs 3 pound of birdseed to fill all the birdfeeder in her yard the store sells birdseed by the ounce how many ounce of birdseed does main need to fill the birdfeerders
Answer:
48 oz.
Step-by-step explanation:
1lb is 16 oz.
You multiply 3 by 16 and that gives you 48
3 x 16 = 48
Answer:
48
Step-by-step explanation:
D) To mix fertilizer correctly. 8
ounces of chemicals are mixed with 2
gallons of water. How much water is
needed for an entire 36 ounce box of
chemicals?
In December, a toy store sold 934 puzzles. Each puzzle cost $6, including tax. What was the total cost of the puzzles sold, including tax?
A $5,434
B $5,484
C $5,604
D $5,684
The total cost of the puzzles sold, including tax is $5604.
What is multiplication?Multiplication is the process of calculating the product of two or more numbers. In Maths, the basic explanation of multiplication is adding a number, with respect to another number, repeatedly.
Given that, 934 puzzles are sold, each costs $6, including the taxes,
We need to find the cost of sold toys,
To find the same, we will multiply the cost of one toys with the number of toys sold,
So, the total cost = 934 x 6 = 5604
Hence, the total cost of the puzzles sold, including tax is $5604.
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What is the solution set for this inequality
Answer:
[tex]x < 7[/tex]
Step-by-step explanation:
1) Subtract 40 from both sides.
[tex] - 8x > - 16 - 40[/tex]
2) Simplify -16 - 40 to -56.
[tex] - 8x > - 56[/tex]
3) Divide both sides by -8.
[tex]x > \frac{ - 56}{ - 8} [/tex]
4) Two negative numbers makes a positive.
[tex]x > \frac{56}{8} [/tex]
5) Simplify 56/8 to to 7.
[tex]x < 7[/tex]
Therefor the answer is option B. x < 7.
Answer:
[tex]x<7[/tex]
Step-by-step explanation:
[tex]-8x+40>-16[/tex]
Move the constant to the right-hand side and change its sign
[tex]-8x>-16-40[/tex]
Calculate the difference
[tex]-8x>-56[/tex]
Divide both sides of the inequality by -8 and flip the inequality sign
[tex]x < 7[/tex]
Therefore the Correct Answer B. x < 7