Answer:
[tex]P(X = 0) = 0.2[/tex]
[tex]P(X = 1) = 0.2[/tex]
[tex]P(X = 2) = 0.2[/tex]
[tex]P(X = 3) = 0.2[/tex]
[tex]P(X = 4) = 0.2[/tex]
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
pmf of X.
Probability of each outcome, 0, 1, 2, 3 or 4 white balls drawn.
Before the trials, you are equally as likely to get the black ball in the 1st trial(0 white balls drawn) to the 5th trial(4 white balls drawn). So this is an uniform distribution with [tex]P(X = x) = \frac{1}{5} = 0.2[/tex]
Thus, the pmf is:
[tex]P(X = 0) = 0.2[/tex]
[tex]P(X = 1) = 0.2[/tex]
[tex]P(X = 2) = 0.2[/tex]
[tex]P(X = 3) = 0.2[/tex]
[tex]P(X = 4) = 0.2[/tex]
Answer:
5.
The sum of three consecutive odd numbers is equal to thirteen more than two
times the largest number. Let the first odd number be'n'.
(a)
Write the equation of the problem
Answer:
(1 mark)
(b)
Solve for'n' to find the first number
Answer:
(1 mark)
(C)
What are the values of the second and third odd numbers?
Answer:
(1 mark)
(d)
Show that the equation is true.
Answer:
Let the numbers be n, n+2, n+4
Sum equals too= 13+2(n+4), which is 2n+21
a) Equation--> n+n+2+n+4= 2n+21
b) Solution--> 3n+6= 2n+21
=> n= 15
c) Second number--> 17 (15+2)
Third number--> 19 (15+4)
d) 15+15+2+15+4=30+21
=> 51= 51
So, the equation is true.
And pls mark me brainliesttt :)))
find the number of terms in an AP given that it's first and last terms are a & 37a respectively and it's common difference is 4a
Answer:
Substitute the values give into the nth term of the arithmetic progression and solve this the steps are give above in the picture
please help me find the area
Answer:
165 square ft
Step-by-step explanation:
i need y’all help asap
In year 13, the scientist will put tree wrap around tree 1 to protect it from the winter snow. The height of the tree wrap needs to be 45 inches.
Answer:
22 feet²
Step-by-step explanation:
We are given:
height of tree h = 45 inches
Circumference= πd × inches
But d = 22.2inches
Therefore area will be
Area = 22.2π × 45 inches²
Area = 3137 inches²
Let's convert from inches² to feet², we have:
1 foot = 12 inches.
Therefore,
1 square foot = 1foot × 1foot = 12inches×12inches
= 3137inches² / 144 inches²
= 22feet²
Note: I attached missing data which states that diameter at year 13 is 22.2inches
Answer: 22
Step-by-step explanation:
simple
Find sets A and B such that A ∩ B = {3, 5} and A ∪ B = {2, 3, 5, 7, 8}
Answer:yes
Step-by-step explanation:99
Hi everyone I am using my sis account can u help me with this plss Milk crates hold 24 bottles of milk each. A milkman needs to deliver 882 bottles of milk. How many crates of milk does he need.
2) A supermarket sold 317 packs of yoghurt in one day. If there are 6 yoghurts in each pack, how many yoghurts were sold?
3)
How much smaller is 63512 than 94291?
4) Which is greater and by how much? 42929 or 91429 _______
10. The time of the first clearance at a letter box is 6.20am, while the second clearance is at 2.15pm. What is the time gap between the two clearances?
The World Cup matches started on March 4, 2003 and ended on April 6, 2003. How long did the matches continue ?
A bus passes the school every 30 minutes. The first bus passes at 7.45am, what time would the next bus pass?
her points are now 1000
Answer:
Step-by-step explanation:
1. 882/24 = 36.75 or 37 crates of milk
2. 3712 x 6 = 1902 yoghurts were sold
3. 94291 - 63512 = 30779
4. 91429 is greater by (91429-42929) = 48500.
10. 7 hours 55 mins
1 month and 3 days or 33 days.
Next bus would pass at 8:15am
is 8/15 0.53 with the 3 repeating or no?
Answer:
Yes.
Step-by-step explanation:
I don't really know how to explain this other than use a calculator.
Hope that this helps!
If the pool is to be 24 ft on each side, what is the length of one side of the hot tub?
Answer:
the side length of the hot tub = 4.8ft
Step-by-step explanation:
Scale Factor = 5
Also,
B'C' = 24 feet
Since both are squares so both have all sides equal.
Square A'B'C'D' is dilated by a scale factor of 5
So,
AB = BC = CD = DA = 24/5 = 4.8 ft.
i hope this helps you
The length of the one side of the hot tub is 4.8 ft.
What is Scale Factor?
The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.
Here, Richardo wants to build a square pool of the hot tub using a scale factor of 5.
If the each side of the pool is 24 ft.
The length of one side of hot tub = 24/5 = 4.8 ft.
Thus, the length of the one side of the hot tub is 4.8 ft.
Learn more about Scale Factor from:
https://brainly.com/question/22312172
#SPJ2
I WILL MAKR BRAINLIEST + 25 POINTS!!!
Answer:
x = 18
Step-by-step explanation:
so we know that 128* and (6x+20)* have the same value so
128* = (6x+20)*
lets subtract both sides by 20
108* = 6x*
divide both sides by 6:
108/6 = 18
6x/6 = x
18 = x
Have a nice day!
and please tell me if I am wrong. :-)
if sin (A+B)=1 and tan (A-B)=1/sqroot 3
are acute angles. find out the value of A and B
Answer:
A = 60° , B = 30°
Step-by-step explanation:
[tex]sin(A+B ) = 1\\\\\ \ \ (A + B) \ = \ \ sin^{-1} 1\\\\A + B = 90^\circ --(1)\\\\ \ tan (A - B) = \frac{1}{\sqrt{3}}\\\\(A-B) = tan^{-1}\frac{1}{\sqrt3}}\\\\A - B = 30^\circ --(2)\\\\ (1) + (2) => 2A = 120^\circ\\[/tex]
[tex]A = 60^\circ[/tex]
[tex]from \ (1) \\A + B = 90^\circ\\60^\circ + B = 90^\circ\\B = 90^\circ - 60^\circ\\B = 30^\circ[/tex]
The hypotenuse of a right triangle measures 20cm. The sum of the lengths of the other two sides is 28cm. Find the lengths of those two sides.
Step-by-step explanation:
Here, h = 20cmBy question, p + b = 28cmor, p = 28 - bUsing pythagoras theorem, h^2 =p^2 + b^220^2 = (28-b) ^2 + b^2400 = 28^2 -2x28xb + b^2 + b^256b = 784 - 400 + 2 b^20 = 2b^2 - 56b + 384 0 = 2 ( b^2 - 28b + 192)0 = b^2 - (16 + 12) b + 1920 = b^2 - 16b - 12b + 1920 = b (b - 16) - 12 (b - 16)0 = (b - 16) (b - 12)Either, b= 16Or,b = 12When b = 16,p = 28 - 16 = 12When b = 12,p = 28 - 12 = 16IF YOU KNKW ABOUT THIS PLEASE HELP .... What is the volume of the cone shown below?
36
10
A. 3007 units
B. 12367 units3
C. 9007 units3
D. 1200 units 3
Answer:
A. 300π units³
Step-by-step explanation:
Formula for volume of a cone = ⅓πr²h
Where,
radius (r) = ½(10) = 5 units
height (h) = 36 units
Plug in the values and find the volume in terms of π
Volume of the cone = ⅓*π*5²*36
Volume of the cone = 300π units³
given triangle abc is similar to triangle efg, with medians cd and gh respectively, ac=9, eg=6, cd=x+2, gh=2x-4. find the length of cd
Answer:
X= 9//
Step-by-step explanation:
abc = efg
ac + cd = eg + gh
9 + (x+2) = 6 + (2x-4)
9 - 6 = 2x-4 - (x+2)
3 = x - 6
3+6 = x
9 = x//
To rent a car, Cesar must pay $15 a day plus 5 cents for every mile he drives. In dollars, what is his final bill if he rents a car for 3 days and drives a total of 50 miles?
Answer:
$70
Step-by-step explanation:
What we know:
⇒ He must pay 15 dollars a day
⇒ He needs to pay an additional 5 cent for every mile he drives
⇒ He drives 50 miles for 3 days
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Since he pays $15 a day and he is driving this car for 3 days, we have to multiply 15 by 3.
15*3=45
He drove 50 miles and each mile is 5 cents so we have to multiply those as well.
50*.5=25
Now we add both the sums togather~
25+45= $70
∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞The amount he has to spend for his car rental is $275.
Express the ratio below in its simplest form. 1.5 : 1
Answer:
3 :2.
Step-by-step explanation:
1.5 : 1
Multiply both numbers by 2:
i this gives 3:2
How many and what type of solutions does 7x^2−4x+3 have? 1 rational solution 2 rational solutions 2 irrational solutions 2 nonreal solutions
Answer:
2 non real solutions.
Step-by-step explanation:
We need to use discriminant,
for ax²+bx+c=0
The discriminat is b²-4ac
If the discriminant is,
→ less than 0, then 0 real solutions
→ equal to 0, then 1 real solutions
→ more than 0, then 2 real solutions
Given that,
7x²−4x+3=0
a=7, b=-4, and c=3
→ (-4)²-4(7)(3)
→ 16-84
→ -68
You can see this is less than 0, then non real solutions. [2 nonreal solutions]
Answer:
Solution given:
7x²-4x+3=0
taking common 7
7(x²+4/7*x+3/7)=0
x²+2*x*2/7+(2/7)²-(2/7)²+3/7=0
(x+2/7)²=-17/49
x+2/7=[tex]\sqrt{\frac{17}{49}}[/tex]
x=±√(17)/7-2/7
taking positive
x=√(17)/7-2/7
x=0.39
taking positive
x=-√(17)/7-2/7
x=-0.87
2:unreal number
M∠1 is less than m∠2 by 40 degrees. What is m∠1 and m∠2
There are 12 marbles in a bag. 3
are green, 4 are blue, 3 are
yellow and 2 are red. One marble
is picked at random. What is the
probability that this marble is
blue?
Answer:
1/3 is the probability for the blue marbal
a bag contains 15 new batteries and 10 use batteries if Heather randomly so what's two batteries from the bag without replacement what is the probability that she will select a used battery and then a new battery
Answer:
1/4
Step-by-step explanation:
Probability is the number of desirable outcomes divided by the number of total outcomes. We can tell these events depend on each other because the batteries are picked without replacement. To find the probability of two dependent events, event that depend on each other, we can find the probability of the first event and the probability of the second event happens if the first is given and multiply them. In this case, the first event is selecting a used battery and the second is picking a new battery.
The total number of outcomes the basically the total amount of batteries that can be chosen. This is 15 + 10 or 25 outcomes. 10 of these batteries are used, and that would correspond to the amount of desirable outcomes because we want to pick a used one. From this, we can say the probability of picking a used battery is 10/25 which simplifies to 2/5.
To find the probability of picking a new battery after picking a used one, we can start by stating the amounts of each battery before the second draw. Since we already picked a used battery, our new totals will be 24 batteries, which 9 are used and 15 are new. Now, we can do the same thing a before, the number of desirable outcomes over the total. We get 15/24 which simplifies to 5/8.
To find the total probability, we multiply the two getting: 2/5 * 5/8 = 1/4.
HELP PLEASE PLEASEEEEEE
Answer: Well this one is simple too.
ATQ Angle 4 is 73° so the vertically opposite angle that is angle to will be the same, 73°.
now for the rest two.
lets find angle 1 first. If we find any one from this we can automatically get the other as they are vertically opposite angles.
Angle 1= 180 - Angle 4
Angle 1 = 180-73=107°
We found this coz the Angle 1 and 4 are on the same line which will form a straight angle.
hence, Angle 4 and 2 = 73°
Angle 1 and 3= 107°
Hope it helps. Pls mark brainliest
If the surface area of the box in the diagram is 204.25 square feet, what is the value of ‘x’?
the length is 10ft
the height is 6.5ft
what would x
A. 3 ft
B. 2.25 ft
C. 4.5 ft
D. 5 ft
Note: Consider x be the breadth of the box.
Given:
The surface area of the box is 204.25 square feet.
Length of the box = 10 ft
Breadth of the box = x ft
Height of the box = 6.5 ft
To find:
The value of x.
Solution:
The surface area of a cuboid is:
[tex]SA=2(lb+bh+hl)[/tex]
Where, l is length, b is breadth and h is height of the cuboid.
Putting [tex]SA=204.25, l=10,\ b=x,\ h=6.5[/tex] in the above formula, we get
[tex]204.25=2(10\times x+x\times 6.5+6.5\times 10)[/tex]
[tex]204.25=2(10x+6.5x+65)[/tex]
[tex]204.25=2(16.5x+65)[/tex]
Using distributive property, we get
[tex]204.25=2(16.5x)+2(65)[/tex]
[tex]204.25=33x+130[/tex]
[tex]204.25-130=33x[/tex]
[tex]74.25=33x[/tex]
Divide both sides by 33.
[tex]\dfrac{74.25}{33}=x[/tex]
[tex]2.25=x[/tex]
Therefore, the correct option is B.
how do i solve for
(2x/5)+1=13/5
Answer:
x = 4
Step-by-step explanation:
[tex]\frac{2x}{5} +1 = \frac{13}{5}[/tex] [tex]\frac{2x+5}{5} = \frac{13}{5}[/tex] divide both sides by 52x + 5 = 13 subtract 5 from both sides2x = 8 divide both sides by 2x = 4
h(x)=6/(x-3), find h(5)
h(5) means the value of h(x) at x = 5. So what we have to do is to substitute x = 5 in the function.
We are given the function h(x) below:
[tex] \large{h(x) = \frac{6}{x - 3} }[/tex]
Substitute x = 5 in the equation.
[tex] \large{h(5) = \frac{6}{5 - 3} \longrightarrow \frac{6}{2} }[/tex]
Simplify in the simplest form.
[tex] \large{h(5) = \frac{3}{1} \longrightarrow 3}[/tex]
Thus h(5) is 3.
Answer
h(5) = 3Hope this helps! Let me know if you have any doubts.
what is row of sum 131 072 in Pascal's triangle?
9514 1404 393
Answer:
17
Step-by-step explanation:
If you number the rows starting with 0 for the row that is 1, then row n has sum 2^n. 131072 = 2^17, is the sum of row 17.
row 0: 1
row 1: 1 1
row 2: 1 2 1
...
row 17: 1 17 136 680 2380 6188 12376 19448 24310 24310 19448 ...
Raquel needs to rent a car while on vacation. The rental company charges $19.95, plus 19 cents for each mile driven. If Raquel only has $40 to spend on the car rental, what is the maximum number of miles she can drive?
__________ miles
Answer:
105
Step-by-step explanation:
$40 - $19.95 = $20.05
$20.05 divided by 0.19 (19¢) = 105.526316
Answer:
105 miles
Step-by-step explanation:
40-19.95= 20.05
20.05/.19= 105.5263157895
round down to 105 miles
Deriction Translate the following word phrase to algebraic expression. two times a number plus 9.
Step-by-step explanation:
Let the number be n. Then: 2n + 9
Mrs. Bollo's second grade class of thirty students conducted a pet ownership survey. Results of the survey indicate that 8 students own a cat, 15 students own a dog, and 5 students own both a cat and a dog. How many of the students surveyed own only a cat?
a) 18
b) 15
c) None of these answers
d) 8
Answer:
c) None of these answers
Step-by-step explanation:
8 students own a cat
In this, we count the students who own both a dog and a cat, and the students who own only a cat.
5 students own both a cat and a dog.
So of the 8 who own a cat, 5 own both a cat and a dog, and 8 - 5 = 3 own only a cat.
So the correct answer is given by option c, as 3 is not an option.
The triangles shown below must be congruent.
10
80°
10
810
81
A. True
B. False
Answer:
It is TRUE
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles
PLS MARK BRAINLIEST
Find the largest possible rectangular area you can enclose, assuming you have 128 meters of fencing. What is the (geometric) significance of the dimensions of this largest possible enclosure?
Answer:
Step-by-step explanation:
let the length=x
width=y
P=2(x+y)=128
x+y=128/2=64
y=64-x
area A=xy=x(64-x)=64x-x²
[tex]\frac{dA}{dx} =64-2x\\\\\frac{dA}{dx} =0,gives~64-2x=0,x=32\\\frac{d^2A}{dx^2} =-2<0 ,at ~x=32[/tex]
so A or area is maximum if x=32
y=64-32=32
or it is a square of edge=32 meters.
