Answer:
d ≈ 14.6 units; M (2.5, 2, 6)
Step-by-step explanation:
Using the distance formula for 3-D dimensions, you get the √(213) which equals 14.6
Then, using the midpoint formula for 3-D dimensions, you find the coordinates 2.5 for x, 2 for y, and 6 for z.
Fischer and Spassky play a chess match in which the first player to win a game wins the match. After 10 successive draws, the match is declared drawn. Each game is won by Fischer with probability 0.4, is won by Spassky with probability 0.3, and is a draw with the probability 0.3 independent of previous games.
(a) What is the probability that Fischer wins the match?
(b) What is the PMF of the duration of the match?
Answer:
a)
the probability that Fischer wins the match is 0.5714
b)
p( D = d ) = { [tex]( 0.3 )^{d-1[/tex] [tex](0.7)[/tex], d = 1, 2, 3, ........
[tex]0[/tex] otherwise
Step-by-step explanation:
Given that;
probability that Fischer wins the match, p = 4
probability that Spassky wins the match, q = 0.3
Match drawn, 1 - p - q = 1 - 0.4 - 0.3 = 0.7
(a) What is the probability that Fischer wins the match?
P( Fischer wins) = p/( p+q)
we substitute
P( Fischer wins) = 0.4 / ( 0.4 + 0.3)
P( Fischer wins) = 0.4 / 0.7
P( Fischer wins) = 0.5714
Therefore, the probability that Fischer wins the match is 0.5714
b) What is the PMF of the duration of the match?
let D represent the duration of the match
since the duration D of the match is a geometric random variable with parameter p + q,
the PMF will be;
p( D = d ) = [tex]( 1 - p - q )^{d-1[/tex] ( p + q )
= [tex]( 1 - 0.4 - 0.3 )^{d-1[/tex] ( 0.4 + 0.3 )
p( D = d ) = [tex]( 0.3 )^{d-1[/tex] ( 0.7)
that is, p( D = d ) = { [tex]( 0.3 )^{d-1[/tex] [tex](0.7)[/tex], d = 1, 2, 3, ........
[tex]0[/tex] otherwise
Kevin has $50 and wants to buy some art paper and paints. One pack of art paper costs $12, and the paints cost $6 per tube. He buys 2 packs of paper. Which inequality should Kevin solve to find the maximum number, n, of tubes of paint that he can buy?
Answer: 4
Step-by-step explanation:
2(12) + 6n ≥ 50
24 + 6n ≥ 50
6n ≥ 26
n ≈ 4
The maximum number of tubes of paint that Kevin can buy is 4.
Answer:
He can make 4 tubs
Step-by-step explanation:
2/3 = 1/4k
pleaseeeeeee helppppp
Answer: check out the image hope this helps
Step-by-step explanation:
Mrs. Bhatia's closet consists of two sections, each shaped like a rectangular prism. She plans to buy mothballs to keep the moths away. She needs one box for every 32 cubic feet of space. How many boxes should she buy?
Answer:
6.5 boxes
Step-by-step explanation:
Given
See attachment for closet
Required
Determine the number of boxes needed to fill the closet
First, we calculate the volume of the two section.
According to the attachment
The first section has the following dimension:
[tex]Width = 5ft[/tex]
[tex]Length = 4ft[/tex]
[tex]Height = 8ft[/tex]
The second has the following dimension:
[tex]Width = 3ft[/tex] ---- see the last label at the top
[tex]Length = 2ft[/tex] --- This is calculated by subtracting the length of the first section (4ft) from the total length of the closet (6ft) i.e. 6ft - 4ft
[tex]Height = 8ft[/tex]
So: The volume of the closet is:
[tex]Volume = W_1 * L_1 * H_1 + W_2 * L_2 * H_2[/tex]
[tex]Volume = 5ft * 4ft * 8ft + 3ft * 2ft * 8ft[/tex]
[tex]Volume = 160ft^3 + 48ft^3[/tex]
[tex]Volume = 208ft^3[/tex]
The number of box needed is then calculated by dividing the volume of the closet (208ft^3) by the volume of each box (32ft^3)
[tex]Boxes = \frac{208ft^3}{32ft^3}[/tex]
[tex]Boxes= \frac{208}{32}[/tex]
[tex]Boxes = 6.5[/tex]
Help me please. Need answer ASAP!!! Thank you
Help please. its for a math homework
9514 1404 393
Answer:
y = -3x +4
Step-by-step explanation:
The hint tells you the slope stays the same. Every point moves to 2 times its original distance from the origin. So, the new y-intercept will be (+2)(2) = +4. The dilated line is ...
y = -3x +4
there are 18 cups on the shelves in Mrs. Lee's kitchen. If she takes out 8 cups to serve tea, how many cups will be left?
Subtract the number of cups she takes from the total cups:
18 cups - 8 cups = 10 cups will be left
What is the answer for each quickly plssssssss and brainliest
Answer:
1. 50.26548
2. 12.56637
3. 3.14159
4. 201.06193
5. 113.09734
6. 38.48451
7. 63.61725
8. 153.93804
9. 28.27433
10. 19.63495
Step-by-step explanation:
The formula is A = pi r^2
Hope this helps! Please award brainiest if its correct!
What is 5^5 equal to
Answer:
5^5 is equal to 3125
Step-by-step explanation:
5×5×5×5×5=3125 Hope this helps!
the answer is 10 alangan
The rectangular box can be constructed from the pattern above. The box has a length of 8 units, a width of 2 units, and a height of 2 units. What is the surface area of the box?
Answer:
72 units
Step-by-step explanation:
SA=2lw+2lh+2hw
SA=2(8x2) + 2(8x2) + 2(2x2) Note, Not distributive
SA= 2(16) + 2(16) + 2(4)
SA= 32 + 32 + 8
SA= 72
Answer:
72 sq. units
Step-by-step explanation:
There are four rectangles of length 8 units and width 2 units, and two squares of length 2 units each.
area of one rectangle=8×2=16 sq. units
area of four rectangles=16×4=64 sq. units
area of on square=2×2=4 sq. units
area of two squares=4×2=8 sq. units
total surface area=64+8=72 sq. units
someone please help thanks
Answer:
Don't take my word for it because I havent dont this in a while but I believe it is the top right
Daily Dose of MEMES.
#001
Bubble wrap: *exist*
Every single kid in a 12ft distance
Answer:
lol
Step-by-step explanation:
Answer:
one there is no milk in the fridge but you already poured the cereal
- Adrian's car gets about 12.5 kilometers per liter. He is planning a 1,600 kilometer trip.
a) About how many liters of gas should Adrian plan to buy? Round your answer to the nearest liter.
b) At an average price of $0.90 US per liter, how much should Adrian expect to spend for gas?
Answer:
[tex]\Large \boxed{\sf a)\ 128 \ liters \ \ \ b)\ \$ \ 115.20}[/tex]
Step-by-step explanation:
a) distance/unit rate = 1600/12.5 = 128
b) liters of gas × unit price = 128 × 0.90 = 115.2
Answer:
a) 128 liters
b) $ 115.2
Step-by-step explanation:
Part a)
12.5 km = 1 liter
1 km = 1/12.5 liters
Multiplying both sides by 1,600
1600 km = 1600 / 12.5 liters
1600 km = 128 liters
Part b)
1 liter = $ 0.90
128 liters = 128 * 0.90
128 liters = $ 115.2
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH18077. What are the "coefficients" in this problem?
8 + 4ab - 5b
Answer:
4 and -5
Step-by-step explanation:
Answer:
4 and -5
Step-by-step explanation:
Coefficients are numbers that are multiplied by a variable.
The term 4ab has 4 as the coefficient and a and b as the variables.
The term -5b has -5 as the coefficient and b as the variable.
Vicki has a 50 inch roll of ribbon. She used 3 feet of
the ribbon to wrap a gift. How many inches of ribbon does she
have left?
Answer:
Step-by-step explanation:
50in-3ft(12in/ft)
50in-36in
14in
in a book reading contest students read as many books as they can in one week. the number of books read by each student are given, use the data to make a histogram
2, 10, 5, 4, 1, 3, 2, 6, 4, 8, 1, 3, 5
Answer:
C
Step-by-step explanation:
Process of elimination. A) had the wrong numbers on the bottom. B) has the right information but it's too narrow. D) has the wrong information. I just took the quiz and got this questions right. Hope this helps!
Answer:
C is the approximant answer
what is the legnth and width of a rectangle
Answer:
A rectangle is composed of two sides: length (L) and width (W). The length of a rectangle is the longest side, whereas the width is the shortest side.
Find the unit rate.. If a family travels in their mini-van for 465 miles and uses 15 gallons of gas what is the mileage per gallon?
10 points
Roger expressed 1/5%
as 1/500. Ellen expressed 1/5% as 100/5. Who is
correct? Explain.
Answer:
Ellen is correct
Step-by-step explanation:
Roger:
The left side 20 does not equal to the right side 0.002 , which means that the given statement is false.
Ellen:
The left side 20 is equal to the right side 20, which means that the given statement is always true.
Hope I helped, Brainliest would be appreciated :)
Have a fantastic day!
-Aadi x
please help me on this now.
Answer:
the frist one is 2 the second on is 3.5 and the third one is 3 and the last on is 2.9
I am having trouble with this question, can someone help i labed them 1,2,3, and 4.
Answer:
3
Step-by-step explanation:
because if he turns right 90 he will get to school but if he turns left 90 he might get half way to the golf course. And since it doesn't specify there is no way in knowing which way to turn
what is the value of m when m/2=4.8
Answer: 9.6
Step-by-step explanation:
You need to isolate the m and in order to do that then you have to multiply both sides by 2
So m/2 x 2 = m
4.8 x 2 = 9.6 which is the answer
Answer:
m = 9.6Step-by-step explanation:
m/2 = 4.8
m = 4.8×2
m = 9.6
Help with this please!!
Answer:
I can see the picture re post it
Step-by-step explanation:
Answer:
The measure of angle F is the same as the measure of angle C.
BC is adjacent and AC is the hypotenuse. That means, use cosine.
Cos C = 15/17
C = cos-1(15/17) = 28.07... or 28.
Step-by-step explanation:
Urgent help please !!!
Answer:
The answer is A. 3x + 3
Step-by-step explanation:
Umm yea its that
What is 5 + 2x + 7 + 4x
Answer:
12+8x
Step-by-step explanation:
By adding together alike values, 5 and 7, and 2x and 4x, you get 12+8x.
The diameter of a circle measures 12 cm. What is the circumference of the circle?
Answer
The circumference is 37.699
Hope this answer helped you!
⭐Please consider giving brainliest!⭐
Step-by-step explanation:
the circumference of the circle with diameter 12cm=2π(d/2)=2×π×12/2=12πcm
Write an expression that represents the area of only the red shaded region in terms of x
Answer:
1st find the area of bigger rectangle ie l×b
again find area of small rectangle ie l×b
now subtract area of small rectangle by bigger one you get the area of shaded part
Select all the statements that describe a unit rate. You must select all of the correct ones to receive credit.
a
Pete sold 1 poster.
b
Michael drives 50 miles in 1 hour.
c
Karen paid $10 for each pizza.
d
Jared bought 4 shirts and 1 hat.
e
Elizabeth earned 5 points for every correct test question.
f
Kelly climbed 50 stairs.
The answer are b,c, and f
to the Pythagorean Theorem
Rapids
For the following right triangle, find the side length x.
20
21
Answer:
x = 29
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]c^{2} = 20^{2} + 21^{2}[/tex]
[tex]c^{2} = 400 + 441[/tex]
[tex]c^{2} = 841[/tex]
[tex]\sqrt{c^2} = \sqrt{841}[/tex]
[tex]c = 29[/tex]
As per the Pythagorean theorem, the value of 'x' for the given right angle triangle is 29.
What is the Pythagorean Theorem?"The Pythagorean theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC² = AB² + AC². Here, AB is the base, AC is the altitude (height), and BC is the hypotenuse."
Given, the value of the three sides of the right angle triangle are 20, 21, and 'x'.
Here, x = the hypotenuse of the right angle triangle.
Therefore, using the Pythagorean theorem, we get:
x² = 20² + 21²
⇒ x² = 400 + 441
⇒ x² = 841
⇒ x = √(841)
⇒ x = 29 (ignoring the negative value of the square root)
Therefore, the value of 'x' is 29.
Learn more about the Pythagorean Theorem here: https://brainly.com/question/20545091
#SPJ2
How many cubes of edge 4cm, each can be cut out from cuboid whose length, breadth and height are 20 cm, 18 cm and 16 cm respectively.
Answer:
90 cubes.
Step-by-step explanation:
First we find volume of the cuboid.
Volume = l x b x h = 20 x 18 x 16 = 5760 cm³
Now,
Volume of a single cube = l³ = 4³ = 64
No of cubes that can be cut out from the cuboid is
= Volume of cuboid/ volume of cube
= 5760/ 64
= 90 cubes