Answer:
The probability is 406/625
Step-by-step explanation:
If they are of different materials, we have the following combinations of selection;
(gold and silver) or ( silver and titanium) or (gold and titanium )
The number of earrings present is 13 + 10 + 12 = 25
Probability of selecting a gold earring is 13/25
Probability of a silver is 10/25
Probability of a titanium is 12/25
Substituting these into the probabilities, we have;
(13/25 * 10/25) + (10/25 * 12/25) + (13/25 * 12/25)
= 130/625 + 120/625 + 156/625 = 406/625
Given u = ⟨1, 3⟩, v = ⟨2, 1⟩, and cos(ϴ) = sqrt2/2, where ϴ is the angle between the vectors, what is the scalar projection uv and the dot product u · v?
uv = 1.41 and u*v = 4.47
uv = 2.24 and u · v = 5.00
uv = 2.24 and u · v = 7.07
uv = 7.07 and u · v = 15.81
Answer:
Step-by-step explanation:
l
Option C corresponds to the vectors scalar projection and dot product, which are uv = 2.24 and u v = 7.07.
To find the scalar projection (uv) and the dot product (u · v) of vectors u and v, use the following formulas:
Scalar Projection (uv) of u onto v:
uv = |u| × cos(ϴ)
Dot Product (u · v) of u and v:
u · v = |u| × |v| × cos(ϴ)
u = ⟨1, 3⟩ and v = ⟨2, 1⟩, and cos(ϴ) = √(2)/2,
calculate the magnitudes of u and v first:
|u| = √(1² + 3²) = √10
|v| = √(2² + 1²) = √5
Now, calculate the scalar projection (uv) and the dot product (u · v):
Scalar Projection (uv) of u onto v:
uv
= |u| × cos(ϴ)
= √10 × √(2)/2
= √(10/2)
= √5 ≈ 2.24
Dot Product (u · v) of u and v:
u · v
= |u| × |v| × cos(ϴ)
= √10 × √5 × √(2)/2
= √(1052)/2
= √100/2
= √50
≈ 7.07
Therefore, the scalar projection and dot product of the vectors is equal to option c. uv = 2.24 and u · v = 7.07.
Learn more about vectors here
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Help!!!! I have no idea how to even begin this
Answer:
y=-7x+3
since the formula is y=mx+b where m is the slope and b is the y-intercept.
At a shelter, 35% of the dogs are puppies. There are 200 at the shelter. How many are puppies?
Answer:
Step-by-step explanation:
Percentage of purebred dogs in shelters: 25% Number cats and dogs adopted from shelters each year: 4 million. Percentage of cats euthanized in shelters: 70% Percentage of total shelter intake comprised of cats: Approximately 50% (but in some regions 2/3 of shelter population is cats)
Answer:
70 puppies
Step-by-step explanation:
Find 10% which is 200÷10=20
20*3=60=30%
20÷2=10=5% so 60+10=70 puppies
When shopping, Tom noticed the price of the items he purchased; each plate and paper towel p cost 0.75, and cups c cost 1.95 each. Determine the amount that Tom spent on his party supplies
Answer:
$2.7
Step-by-step explanation:
0.75+1.95 is 2.7
Hope this helps Mery Christmas!
Answer:
Step-by-step explanation:
since we dont know how much of each item we bought we cant fully do this but here is our equation anyway
y = 0.75p + 1.95c
once we know how many of each item he bought then we can find the final answer
hope this helps <3
My sister is 12 years old. My brother says that his age minus twelve is equal to my sister's age. How old is my brother?
Enter an equation, using as your variable, to find how old my brother is.
The equation is
x-12=12
x=24
your brother is 24 years old
2) Which of the following is an equivalent ratio to 12:48? Choose all that apply.
a. 3:12
b. 6:24
C. 24.48
d. 24.96
Work out the problem -5-8
-13
Answer:
since 5+8 is 13 and there's a '-' in the five than it's-13
9.
Here are Jason's scores on his science tests this year:
85, 91, 48, 98, 99, 91, 90, 84, 91, 87, 80
What is the mean absolute deviation of Jason's scores? (Round to the nearest thousandths place)
Answer:
85.818
Step-by-step explanation:
Write an equation to describe this situation using decimals. “Tessa bought x pounds of almonds. Lark (y) bought more than that”. PLEASE HELP!
Answer:
y = 1.6x
Step-by-step explanation:
y is the total amount/pounds of almonds that Lark bought. x is the amount that Tessa bought. 3/5 is the same as 0.6. If we multiplied Tessa's amount by 0.6 it would decrease by 2/5 so we have to add 1 to make it 1.6. To find how much Lark bought multiply 1.6 and Tessa's amount.
Answer:
how many 35 (x) did molly purchase, for 5 (y) weeks.
Step-by-step explanation:
I chose this because each number represents a different volume , it also makes a good answer, comment or repsond if i am wrong.
The price of an item has been reduced by 45%. The original price was $85.
Answer:
$38.25
Step-by-step explanation:
Answer:
Sale Price: $85 * 0.55 = $46.75
Step-by-step explanation:
WILL GIVE BRAINLIEST!!
What is the value of 1/60?
Answer:
1/6
Step-by-step explanation:
Answer:
C. 1
Step-by-step explanation:
Which graph represents 2 (cosine (StartFraction 2 pi Over 3 EndFraction) + I sine (StartFraction 2 pi Over 3 EndFraction) ) ?
Answer:
D on edge 2020
Step-by-step explanation:
the coordinate point is at (-1, 1.75)
The graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
The complete question is:
Which graph represents 2(cos(2π/3)+i sin(2π/3))?
The graphs are in the picture, please refer to the picture.
We have a complex number;
= 2(cos(2π/3)+i sin(2π/3))
= 2(cos120 + i sin120)
= 2(-0.5 + i 0.866)
= -1 + i 1.732
The point is (-1, 1.732)
Thus, the graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.
Learn more about the complex number here:
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En una tienda se anuncia la rebaja de 20% en todos sus artículos. Rafael elije una camisa y al llegar a la caja le informan que esa camisa, por traer etiqueta roja, cuenta con un descuento adicional del 15%. Si Rafael pago $510.00, ¿cual era él precio de la camisa sin los descuentos?
9514 1404 393
Answer:
$750
Step-by-step explanation:
The 20% discount multiplies the price by (1 - 20%) = 0.80.
The 15% discount multiplies the price by (1 - 15%) = 0.85.
After applying the discounts to the initial price P, we have ...
P(0.80)(0.85) = $510
P = $510/(0.80·0.85) = $750
The price before discounts was $750.
Rachel is trying to find the length of the lake shown on the diagram. She knows that if the two triangles are similar, she can use a proportion to solve for the length. How can Rachel justify that the triangles are similar? What is the length of the lake? A) Corresponding sides of the two triangles have the ratio of 4:1, which proves SAS similarity.The length of the lake is 212 m. B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132 m.
C) Corresponding sides of the two triangles have the ratio of 3:1, which proves SSS similarity. The length of the lake is 159 m. D)
Corresponding sides of the two triangles have the ratio of 4:1, which proves AAS similarity. The length of the lake is 240 m.
Answer: B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132m.
Step-by-step explanation: Similar Triangles are triangles with corresponding sides proportional to each other.
One way to determine if two triangles are similar is a theorem called Side-Side-Side Similarity Theorem or SSS similarity and it states that two triangles are similar if corresponding angles are equal and corresponding sides are proportional.
The triangles below are similar and they obey this theorem because we observe that the angles are the same and the corresponding sides are proportional:
[tex]\frac{big}{small}=\frac{212}{53}=\frac{60}{15}=4[/tex]
So, the ratio of bigger triangle and smaller triangle is 4:1.
With that ratio and suppose length is represented as L:
[tex]\frac{L}{33} =4[/tex]
L = 132
The length of the lake is 132m.
Thus, the answer for this question is
1) The similarity of the triangles is proved by SSS similarty;
2) Ratio of proportion is 4:1;
3) Length of the lake is 132m;
Help me pleaseee (10 points)
Answer:
Step-by-step explanation:
tan(16)=125/a
tan(16)=35.8 (DC)
tan(7)=125/a
tan(7)=15.3
35.8-15.3=20.5
Sorry if that's incorrect, my best is 20.5 feet.
======================================================
Work Shown:
Let
x = length of AD in feet
y = length of DC in feet
x and y are positive real numbers.
For now, focus on triangle BCD. Ignore point A and its associated angle.
tan(angle) = opposite/adjacent
tan(D) = BC/DC
tan(16) = 125/y
y*tan(16) = 125
y = 125/tan(16)
y = 435.926805480113
y = 435.926805
The value of y is approximate
Now focus on triangle ABC. Ignore point D and its associated angle.
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = BC/(AD+DC)
tan(7) = 125/(x + y)
(x+y)*tan(7) = 125
x*tan(7) + y*tan(7) = 125
x*tan(7) = 125 - y*tan(7)
x = ( 125-y*tan(7) )/( tan(7) )
x = ( 125-435.926805*tan(7) )/( tan(7) )
x = 582.116498496824
x = 582
The distance from A to D is approximately 582 feet.
Please help if u know
Answer:
(-3,0), (1,0),(-5,0)
Step-by-step explanation:
one room length 12.8 and breadth equals to 850 CM inside that room there is a bad length is 300 cm and breadth is 400 cm find the remaining surface area of the room and the answer will be in cm
Answer:
[tex]Area = 968000cm^2[/tex]
Step-by-step explanation:
To be able to answer this question properly. I'll assume the length of the room is in meters.
So for the room, we have:
[tex]Length = 12.8m[/tex]
[tex]Breadth = 850cm[/tex]
For the bed, we have:
[tex]Length = 300cm[/tex]
[tex]Breadth = 400cm[/tex]
First, we calculate the surface area of the room.
[tex]A_1 = 12.8m * 850cm[/tex]
Convert all units to cm
[tex]A_1= 12.8*100cm * 850cm[/tex]
[tex]A_1= 1 088 000 cm^2[/tex]
Next, we calculate the area of the bed
[tex]A_2 = 300cm * 400cm[/tex]
[tex]A_2 = 120000cm^2[/tex]
The area of the space left is the difference between A1 and A2
[tex]Area = A_1 - A_2[/tex]
[tex]Area = 1088000cm^2 - 120000cm^2[/tex]
[tex]Area = 968000cm^2[/tex]
A simple moving average a. is a cumulative breadth measure b. is constructed from various randomly selected interviews of retail investors c. seldom changes in value d. is constructed by totaling a set of data and dividing that total by the number of observations
Answer:
d. is constructed by totaling a set of data and dividing that total by the number of observations
Step-by-step explanation:
Moving average is a method of calculation that is use to analyze the data points by making a series of averages of the various subsets in the full data set. Its another name is rolling average or moving mean.
A simple moving average is constructed by taking the sum of a set of data and then dividing the total by a number of the observations.
PLESSS SOMEONE KNOW THIS
Answer:
D.
Step-by-step explanation:
Order of operation states that in order for the addition to be done first, it must be in a set of parenthesis. Then, 4 multiplied by the sum would mean the addition has to be done first. so, yeah.
Don't know if that helps. I hope it does. Have a great day
[tex] \frac{1}{ax} - \frac{1}{bx} = 1[/tex]
can someone ease explain how this is possible. right now I have tried everything from the back of my head and nothing seems to work. Thanks!
Answer:
x= 1/a-1/b
Step-by-step explanation:
use math.way
The answer to your question is 1 because:
'ax' and 'bx' have no values, they are missing numbers.
We have to cancel out one 1, and our answer is 1.
Carry on Learning!
Don’t PUT A Random Answer PLEASE
Answer:
314
Step-by-step explanation:
Answer:
ok I won't
Step-by-step explanation:
Help!! I need an answer asap!!
Given a∥b, find m∠1 = 71º.
Find: m∠5, m∠8
Answer:
m<5 = 71 and m<8 = 109
Step-by-step explanation:
m<1 is equivalent to m<5 and m<2 is equivalent to m<8.
Answer:
∠5 = 71°
∠8 = 109°
Step-by-step explanation:
∠1 = 71°
∠5 = 71° (the same as ∠1 = 71°) its a corresponding angle
∠8 = 180 - ∠5
∠8 = 180 - 71
∠8 = 109°
It takes Andre 4 minutes to swim 5 laps. a.How many laps per minute is that?
Answer:
1.25 laps per minute
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME!! THANK YOU
Answer:
C
Step-by-step explanation:
I'm pretty sure it's C
Answer:
not sure but b or c because it says less than
Step-by-step explanation:
HELPPPP!!!!!
my testt
Answer:
$8.50
Step-by-step explanation:
ok so if you divide 3.40 by 5 you get .68 and you multiply that to get 8.16 then you divide .68 to get the cost of half a pound and you get .34 so you add that to 8.16 and get 8.5.
your answer is $8.50
hope this helps!
Answer:i know this is no help now but plz give my sister brainliest for what she did last year.
Step-by-step explanation:
The measurement of the complement of an angle is 40° more than the angle. What is the supplement for the angle?
What is the vertex of the parabola y=2(x-3)^2+5 NEED ANSWER NOWWW
Answer:
(3,5)
Step-by-step explanation:
Identify the rate of change
Answer:
The rate of change is -2
Step-by-step explanation:
I know because I used a calculator and it is decreasing by 2 in the x column. Plzz can I have brainiest
If 100 feet of fence is used to enclose a rectangular yard, then the resulting area is given by
A=x(-x+50) where x feet is the width of the rectangle and feet is the length. Determine the length and width that give maximum area.
Answer:
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE
Answer:
B) EF
Step-by-step explanation:
A diameter the length of the line through the center that touches two points on the edge of the circle.
In this case, EF is the two points touching the edge of the circle.