The probability that the Liam and Michael are 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.
Liam and Michael are going to play video games this afternoon.
Then, Liam going to play video games = 38
Michael going to play video games = 2
In 38 video games and 2 video games are exactly what Liam and Michael need.
So,
We can write,
Probability = [tex]\frac{2C_{2} }{38C_{2} }[/tex]
As only one case is possible,
That is, [tex]2C_{2}[/tex] = 1
Probability = 1/(38!/(38-2)!2!)
= 1/(38!/36!2!)
=( 2! * 36! )/38!
= (2! * 36! )/38!*37!*36!
= 2!/38!37!
= 1/19!37!
= 1/703
= 0.001422
Rounding to nearest million ( 5 decimal )
Required probability = 0.001422
Therefore,
The probability 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.
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Find the length of VW.
Answer:
1.8
Step-by-step explanation:
it is on the diagram
Two scuba divers are 20 m apart below the surface of the water. They both spot a shark that is below them. The angle from diver 1 to the shark is 47 degrees, and the angle from diver 2 to the shark is 40 degrees. How far is diver 2 from the shark?
Answer: Approximately 14.647147438893 meters
Round this value however you need.
===============================================================
Explanation:
Refer to the diagram below. The blue horizontal line is the water surface, and just below that are points A and B to represent diver 1 and diver 2 respectively. Point C is the shark's location. The diagram is not to scale. The assumption is that the two divers are at the same depth in the water.
Angle A (also known as angle BAC or CAB) is the angle formed at diver 1's location, which is the 47 degree angle mentioned earlier. Angle B is 40 degrees. This must mean angle C is 180-A-B = 180-47-40 = 93 degrees. Note how A+B+C = 47+40+93 = 180.
The goal is to find the distance from diver 2 to the shark. So we want the distance from point B to point C. In other words, we want the length of segment BC. Since this segment is opposite angle A, we'll refer to this side as lowercase 'a'. The lowercase letters represent side lengths and they are conventionally opposite the uppercase letter angles. So side b is opposite angle B, and side c is opposite angle C.
Here's what we have so far:
side a = unknown = what we want to solve forangle A = 47 degreesside c = 20 meters = distance between the two diversangle C = 93 degreesWe can apply the law of sines to find side 'a'.
a/sin(A) = c/sin(C)
a/sin(47) = 20/sin(93)
a = sin(47)*( 20/sin(93) )
a = 14.647147438893
Make sure your calculator is in degree mode.
The distance from diver 2 to the shark is approximately 14.647147438893 meters. Round this value however you need.
What is 1/4 divided by 2?
Step-by-step explanation:
1/4 ÷ 2 = 1/8 in fraction form.
Answer:
There are 40 ducks in a pond. The next spring there is a 40 percent increase. How many ducks are in the pond?
Reds varied directly as yellows and inversely as greens squared. If 400 reds and 40 yellows went with 10 greens, how many reds went with 20 yellows and 5 greens?
What is the total surface area of the following square pyramid?
Answer:
The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .
Step-by-step explanation:
find the missing side of each triangle
Answer and Step-by-step explanation:
To solve this, we have to find x.
To find x, we have to use the Pythagorean theorem.
The Pythagorean theorem is:
[tex]A^2 + B^2 = C^2[/tex]
Where A is a side, B is a side, and C is the hypotenuse.
Plug in the values accordingly.
[tex]6^2 + 8^2 = x^2\\\\\\\\36 + 64 = x^2\\\\\\\\\\100 = x^2\\\\\\\\10 = x[/tex]
The answer is 10 = x.
#teamtrees #PAW (Plant And Water)
I NEED HELP PLZ!!!!!!!
Answer: what's up?
Step-by-step explanation:
martin has $.50. Sara has 10 times more than Martin. Jon has one tenth as much as Martin. Does Sara has more than Martin? Does Jon have more money than Martin?
Answer:
Sara has more than Martin
no Jon has less money than martin
Step-by-step explanation:
martin=0.50
Sara: 0.50×10 = 5
jon: 0.50(1/10)= 0.05
Which of the following points
would be plotted in Quadrant
IV on a coordinate grid?
A. (2,3)
B. (-4,-9)
C. (-9, 3)
D. (5, -6)
WIB
Answer:
D. (5, -6)
Step-by-step explanation:
How many triangles are there help please
Answer:
35
Step-by-step explanation:
Make sure to count the right triangles the equilateral triangles as well.
Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....
Answer:
Tn = 4(-6)^n-1
Step-by-step explanation:
Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....
The sequence is a geometric sequence
Tn = ar^n-1
a is the first term
a = 4
r = -24/4 =144/-24
r = -6
Substitute
Tn = 4(-6)^n-1
Which function is linear?
es --
A)
f(x) = 13x] + 4
х
B)
f(x) =
+ 4
3x
f(x) = 3x - 4
D)
f(x) = 13x1 - 4
The answer is C... I just did it and it said it was C!!
Answer:
answer is b bro :)))))))))))))))
A piece of rope that is 26feet long is cut into two pieces. One piece is used to form a circle and the other used to form a square. Write a function g representing the area of the square as a function of the radius of the circle r.
9514 1404 393
Answer:
g(r) = (13 -πr)²/4
Step-by-step explanation:
The circumference of the circle is given by ...
C = 2πr
The amount of rope remaining after the circle is formed will be ...
26 -2πr
When this is used to form a square, each side of the square will be 1/4 of this length, so is ...
s = (26 -2πr)/4 = (13 -πr)/2
The area of the square is the square of the side lengths, so is ...
g(r) = ((13 -πr)/2)²
g(r) = (13 -πr)²/4 . . . . area of the square as a function of circle radius
Eli's parents open a savings account for when he was born in the account earns compound interest compounded annually how much money will be in Eli's account at age 21
Answer:
Is C.$24 I use the I=Prt
What is 90 divided by 10
Answer:
9
Step-by-step explanation:
There are 16 kilometers in 10 miles how many kilometers are in 5 miles?
Answer:
8 kilometers
Step-by-step explanation:
please help I dont understand
Answer:
Angle 2=160
Angle 3=10
Step-by-step explanation:
The rhombus is made up of two isoceles triangle.
Angle 1 measures 160.
Since the triangle is a isoceles triangle, the opposite angles of the congruent sides is equal angles to each other.
So the reamaing angles in the top triangle are equal so we can use this equation
Remeber that triangle maximum degree it can hold is 180
[tex]160 + x + x = 180[/tex]
[tex]160 + 2x = 180[/tex]
[tex]2x = 20[/tex]
[tex]x = 10[/tex]
We have two congruent triangle side they share Three sides. SSS
This means the corresponding angle of Angle 1 is Angle 2.
Angle 2=Angle 1 by CPCTC.
Angle 2=160
Angle 3 corresponds with one of the remaining congruent angles so it measures
10.
help meeeeeeeeeeeeeeeee
Which is larger, 8 tons or 14,000 pounds?
Answer:
tons pounds
7 14,000
8 16,000
so 8 tons
Step-by-step explanation:
Answer:
8 tons is larger than 14,000 pounds.
Step-by-step explanation:
Here is my explanation:
One ton (same thing as a short ton) is equivalent to 2,000 pounds.
So 8 tons is basically just 2,000 * 8 which is equal to 16,000.
Hope this helps!
f(x) = x^2 is stretched vertically by a factor of 4 and shifted 1 unit down.
equation = ???
Answer:
f(x) = 4x² - 1
Step-by-step explanation:
The given function is; f(x) = x²
Now, when stretched vertically by a factor of 4, we have;
f(x) = 4x²
It's now shifted 1 unit down.. Thus, the final function will be;
f(x) = 4x² - 1
As the team’s fundraisers, Agnes and Betty both sold candy bars. At the end of the fundraiser, Agnes determined that she sold 8 more candy bars than Betty sold.
If Agnes and Betty sold a total of 348 candy bars, how many did Betty sell? i need to show work please help
Answer:
Step-by-step explanation:
The Reeds are moving across the country. Mr. Reed leaves 4.5 hours before Mrs. Reed. If he averages 40mph and she averages 60mph, how many hours will it take Mrs. Reed to catch up to Mr. Reed?
Answer:
Mr. Reed DATA:
rate = 40 mph ; time = x hrs ; distance = 40x miles
-----
Mrs. Reed DATA:
rate = 60 mph ; time = x - 3.5 hrs ; distance = 60x - 210 miles
Equation:
40x = 60x -210
-20x = -210
x = 10.5 hrs
x-3.5 = 7 hrs (Mr. Reed's time)
Step-by-step explanation:
can you help me please? https://brainly.com/question/22819277
hi i like cheesi like cheese e i like chi like cheese eese i like cheese i like cheesi liki like cheese e cheei like chi lii like cheese ke chei like chei like cheese ese ese eese se e
Answer:
cheese is good but have you tried your mom
Step-by-step explanation:
The circumference of a circle is 18 pi inches what is the radius in inches of the circle
Suppose that 5% of the time Todd attends a concert twice a month, 40% of the time he attends a concert once a month, and 55% of the time he doesn't attend a concert at all in a given month. What is the expected value for the number of times Todd attends a concert during a month?
Please help this is due tonight
2. Jacquelyn has 50 vocabulary words to study for an exam. She creates a flashcard for each word to study. Day 1 she studies 10 of the flash cards. Day 2 she studies the same 10 cards from the first day along with 5 new cards, for a total of 15 cards. Day 3 she studies the 15 cards she studied on the second day along with 5 new cards, for a total of 20 cards. Jacquelyn continues to increase the number of cards she studies each day by 5.
(a) Write a recursive rule to represent the number of cards Jacquelyn studies on day n.
(b) Write an explicit rule to represent the number of cards Jacquelyn studies on day n.
(c) On which day will Jacquelyn first study all 50 vocabulary cards?
Answer:
Sequence:
10, 15, 20, ...(a) Recursive formula:
a₁ = 10, aₙ = aₙ₋₁ + 5(b) Explicit rule:
aₙ = a₁ + (n - 1)*5 aₙ = 10 + 5n - 5 = 5n + 5aₙ = 5n + 5(c) aₙ = 50, n = ?
50 = 5n + 55n = 45n = 9Day 9
Help! I’ll mark brainliest /
Jules owns a square plot of land that measures 30 yards on each side. He plans to divide the land in half by building a fence as shown by the dotted line below. how many yards of fencing does Jules need
A 15yd
B 30 yd
C 30/2yd
D30/2yd
Answer:
BD = 30√2 yd
Step-by-step explanation:
The shape of the land is a square with 30 yd side length on each side.
The fence to he built is the diagonal of the square BD.
Apply pythagorean theorem to find the number of yards of fencing (BD) he needs.
Thus:
BD² = BC² + CD²
BD² ° 30² + 30²
BD² = 1800
BD = √1800
BD = √(900*2)
BD = 30√2 yd
S) A $4.00 sales tax is charged for a $50.00 purchase. At this rate, what is the sales tax for a $1200.00
purchase?
Please help me :) I’m down bad
Answer:
$96
Step-by-step explanation:
4/50=.08 which is sales tax rate
1200X.08=$96 sales tax
what is the slope of any line parallel to the line 9x+4y=7?
Answer:
-9/4
Step-by-step explanation:
First you need to change the equation to slope-intercept form (y=mx+b). To start, you need to get y alone, so subtract 9x on both sides to give you 4y=-9x+7. Next, divide 4 from both sides giving you y=-9/4x +7/4. The slope is the coefficient of x.
