Answers
Answer:
See belowStep-by-step explanation:
#3
P(A) = 3/8P(B) = 2/7(i)
P(A and B) = P(A) * P(B) = 3/8*2/7 = 3/28(ii)
P(A or B) = P(A) + P(B) - P(A and B) = 3/8 + 2/7 - 3/28 = 1/56(21 + 16 - 6) = 31/56(iii)
P(not A and not B) = P(not A) * P(not B) = (1 - 3/8)*(1 - 2/7) = 5/8*5/7 = 25/56Another way:
P(not A and not B) = 1 - P(A or B) = 1 - 31/56 = 25/56#4
Outcomes with two fair coins: TT, TH, HT, HH
Outcomes with normal dice: 1 to 6
a)
P(odd number) = 3/6 = 1/2b)
P(two heads and an even number) = 1/4*3/6 = 1/8c)
P(head and tail) = 1/2P(prime) = 3/6 = 1/2 (primes are 2, 3 and 5)P(head, tail and prime) = 1/2*1/2 = 1/4d)
P(two tails and odd number) = 1/4*3/6 = 1/8Related Questions
6 = r + 2 Addition and Subtraction Equations 11.2
Answers
Answer:
I'm not sure what you are looking for but I'm assuming you are finding r.
r is equal to 4.
Step-by-step explanation:
6 = r + 2
In order to find r, you have to subtract 2 from 6.
So, r = 6 - 2 = 4
The diameter of a wheel of a car is 77 cm. How many revolutions will it make to cover 242 m? (Take π≈22/ 7)
Answers
This value is approximate because pi = 22/7 is approximate.
===========================================================
Explanation:
Let's find the perimeter of the wheel, aka the circumference
C = pi*d
C = (22/7)*77
C = 242
The distance around the tire is approximately 242 cm
At first glance, it looks like one revolution will do the trick. However, we need to cover 242 meters and not 242 cm.
We can say the following
1 meter = 100 cm
242 meters = 24200 cm .... multiply both sides by 242
One revolution covers 242 cm, which is 1/100 of the distance we need to cover. So that means we need to do 100 revolutions to get to the target we're after.
1 revolution = 242 cm
100 revolutions = 24200 cm ... multiply both sides by 100
---------------------------
We could also use a proportion to solve
(1 revolution)/(242 cm) = (x revolutions)/(24200 cm)
1/242 = x/24200
1*24200 = 242x
242x = 24200
x = 24200/242
x = 100
What is the maximum value of the function?
Help
Answers
Answer:
The maximum is at (1,3)
Step-by-step explanation:
The maximum value of the function is at the vertex
The maximum is at (1,3)
Max value of the given function = 3
Find the value of x ?
Answers
i´ll give brainly please helppp :(((
In the cafeteria, there is one large 10-seat table and many smaller 4-seat tables. There are enough tables to fit 200 students. Write an inequality whose solution is the possible number of 4-seat tables in the cafeteria.
Answers
the answer for this question is 249,842
Alright I need help again and I will award brainliest if you are correct
Answers
Answer: No Triangle: 30 , 85 , 60, and 2, 8, 10
One Triangle: 7, 24, 25
Many Triangles: 45, 45, 90 5, 15, 160
Evaluate the expression 33.15/n n=1.5
Answers
Answer:
22.1
Step-by-step explanation:
33.15/n
33.15/1.5
= 22.1
The volume of a cylinder is 156 pi centimeters cubed. What is the volume of a cone with the same base and height as the cylinder?
Answers
Answer:
52 pi centimeters cubed
Step-by-step explanation:
volume of a cylinder = πr^2h
Volume of a cone 1/3(πr^2h)
π = 22/7
r = radius
The volume of a cone is one-third that of a cylinder
volume of cone = 156/3 = 52
14. A cellular telephone company recently conducted research into the length of calls (in
minutes) made by customers. In a random sample of 30 calls, the sample mean was
x= 18.6 minutes and the standard deviation was s=5.2 minutes. Construct and interpret
a 90% confidence interval for true mean call length. (4-step process)
Answers
Answer:
The correct answer is "16.987, 20213".
Step-by-step explanation:
Given that,
[tex]n=30[/tex]
[tex]\bar x=18.6[/tex]
[tex]s = 5.2[/tex]
[tex]df=30-1[/tex]
[tex]=29[/tex]
[tex]\alpha = 0.10[/tex]
By using the table, the critical values of t will be:
= [tex]\pm 1.699[/tex]
Now,
The confidence interval will be:
= [tex]\bar x \pm \frac{t\times s}{\sqrt{n} }[/tex]
By putting the values, we get
= [tex]18.6 \pm \frac{1.699\times 5.2}{\sqrt{30} }[/tex]
= [tex]16.987,20.213[/tex]
The equation p=100−5t represents the percent p of battery power remaining in a tablet after t hours.
a. Identify the independent and dependent variables. Then describe how the battery power changes over time.
The independent variable is
and the dependent variable is
.
The battery power begins at
% and decreases
% each hour.
Question 2
b. Graph the equation.
Answers
Answer:
a) Independent variable is the hours.
Dependent variable is the power left after t hours
b) The graph that shows in the images
*sorry if my answer is wrong
I HAVE 64 POINTS FOR YA
For bases of solid figures, a lateral _______ is to a polygon what a lateral ___________is to a circle.
A.surface
B. face
Answers
Answer:
it was is face than surface I am 7th grade and doing the problem for class.
Step-by-step explanation:
If I am to late I am so sorry but for the next person that needs it.
(ﾉ◕ヮ◕)ﾉ*:･you can do it✧
For bases of solid figures, a lateral face is to a polygon what a lateral surface is to a circle.
What is the base of a solid figure?The base of a solid figure is one of its faces that has been distinguished from the others in some way. The solid figure is usually oriented so that the base is situated at the bottom.
What solid figure has a base of any polygon?A pyramid is a three-dimensional figure with only one base. The base can be any polygon. The other faces are triangles. A pyramid is named according to the shape of its base.
Learn more about solid figures here: brainly.com/question/15998356
#SPJ2
I need help with this problem. please help. thanks
Answers
Answer:
D
Step-by-step explanation:
Answer:
Option B. ( For Question 32...)
Step-by-step explanation:
Can someone help me with this? Will Mark brainliest.
Answers
You're answer is Major Arc.
Which of the following values is a solution for the inequality statement?
Select all that apply.
-5 ≤ -4r + 3
A.7
B. 4
C. -5
D. 0
E. 3
Answers
(the solution is r is less than or equal to 2)
Answer:
-5 and 0
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME AND SOLVE THE PROBLEM STEP BY STEP IF IT WAS DONE CORRECTLY I WIL PUT U AS BRANLIEST THANK YOU!!!
Answers
Answer: (5,3)
Step-by-step explanation:
y=x^2-10x+28
Complete the square.
y=(x-5)^2+3
Use the vertex form, y=a(x-h)^2+k to find the values of a, h, and k.
a=1
h=5
k=3
Find the vertex (h, k).
(5, 3)
Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)
Answers
Hello ;)
I'm assuming the question is to find the slope so here ya go
Answer:
2/1
Complete the function for this graph.
Answers
Answer:
1 and 4
Step-by-step explanation:
The vertex of the graph is (1,4) which is translated up 4 units
The volume of a rectangular prism is 768 ft3. What is the volume of the same shape if the width is changed by a scale factor of 13?
Answers
Answer:
The volume is:
[tex]V_{2}=9984\: ft^{3}[/tex]
Step-by-step explanation:
The equation of the volume of a rectangular prism is:
[tex]V=L*W*H[/tex]
Where:
L is the lengthW is the widthH is the heightWe know the volume is 768 ft³ and the new width change a 13 factor, in other words, W(2) = 13W(1), so we can divide each equation of the volume to find the new volume.
[tex]\frac{V_{1}}{V_{2}}=\frac{L*W*H}{L*W*13H}[/tex]
[tex]\frac{768}{V_{2}}=\frac{L*W*H}{L*W*13H}[/tex]
L and W remain constant.
Therefore, we just need to solve it for V(2).
[tex]\frac{768}{V_{2}}=\frac{1}{13}[/tex]
[tex]V_{2}=13*768=9984\: ft^{3}[/tex]
I hope it helps you!
4) Does the point (0, -4) satisfy the
inequality
y > 8x + 2?
B) no
A) yes
Answers
Answer:
B) NO
Step-by-step explanation:
(-4)=8(0)+2
-4=0+2
-4=2
Incorrect
1 of 10
Find the area of a circle with radius, r = 6.6m.
Give your answer rounded to 2 DP.
r
Answers
A= π(6.6)^2
A= 136.8477759903714
Round to 2 Decimal Points:
A=135.85 m^2
Situation: Find the substance's half-life, in days. Round your answer to the nearest tenth. A 33 gram sample of a substance that's used for drug research has a k-value of 0.1081. Enter the correct answer. N = Noe DONE No = initial mass (at time t = 0) 000 OO N = mass at time t k= = a positive constant that depends on the substance itself and on the units used to measure time t = time, in days
Answers
Answer:
1051 or..
10.51
Step-by-step explanation:
Since 33=30 and 0.1081 is supposed to be as a percentage since its already a decimal you could just round it and make it into a fraction then once you get the answer to the fraction it would either be 1081 since 0.1081 as a fraction is 1081/10000 or you could make into 10.81 as a decimal but after that you subtract "30 - 1,081" or 10.81 -30" either one of them and each of those numbers would give you the same exact number. Answer: 1051 or as a decimal 10.51
Answer:
The correct answer 6.4 on PLATO edmentum
Step-by-step explanation:
I did the test
Find the value of x ?
Answers
Answer: 6
Step-by-step explanation:
4+(x-3) = 2x-5
x+1 = 2x-5
x=6
Look at triangle STU:
A right triangle STU is shown with the right angle at T. The length of side ST is labeled as 42 cm, and the length of side TU is labeled as 56 cm.
What is the length (in centimeters) of side SU of the triangle?
70 centimeters
77 centimeters
90 centimeters
98 centimeters
Answers
Answer:
70 cm
Step-by-step explanation:
42^2 + 56^2 = c^2
1764 + 3136 = c^2
4900 = c^2
70 = c
[tex]\sqrt{(-3-4)^{2}+(-7-3)^{2) }[/tex]
Answers
Answer:
Step-by-step explanation:
[tex]\sqrt{(-3-4)^2+(-7-3)^2[/tex]
[tex]\sqrt{(-7)^2+(-10)^2[/tex]
[tex]\sqrt{49+100[/tex]
[tex]\sqrt{149[/tex]
Q. Find missing angle
Answers
Answer:
c =√a2 + b2=√152 + 122=√369=19.20937
∠α =arcsin(a)c= arcsin(15)19.209372712299=arcsin(0.78086880944303) = 51.34° = 51
answer is C
Answer:
Tan x = opp/ adj
Tan x = 15 / 12
Tan x = 1.25
Angle = 51.34
C. 51 degrees
HOPE ITS HELPS..!!
PLEASE HELP!!!
What is the interquartile range of the data?
(73 points)!!
Answers
Answer:
2,5
Step-by-step explanation:
2.5+3.0+3.5+0.0= 9
9:4= 2.5
Determine the equation of the circle graphed below
Answers
Answer:
[tex](x-1)^2+(y-6)^2=16[/tex]
Step-by-step explanation:
The equation of a circle is given by [tex](x-h)^2+(y-k)^2=r^2[/tex], where [tex](h,k)[/tex] is the center of the circle and [tex]r[/tex] is the radius of the circle.
From the diagram, we can find the following:
the radius of the circle is 4 the center of the circle is located at (1,6)Thus, we have:
[tex](x-1)^2+(y-6)^2=4^2,\\\boxed{(x-1)^2+(y-6)^2=16}[/tex]
Answer:
(x-1)^2 + (y-6)^2 = 16
Step-by-step explanation:
center = (1,6)
radius = 4
equation of a circle (x-h)^2+(y-k)^2=r^2
(x-1)^2 + (y-6)^2 = 16
Can you guys try to answer this without spamming it? I really need help.
Answers
Answer:
Step-by-step explanation:
since for the bottom one. You found that 150 degrees for the obtuse angle and 30 degrees for the acute angle. So if you add those up you get 180. But there’s an opposite side so whatever is that side, you write for the other one I’m guessing
Cm+n) ÷ (m-n), if m=2/3, n = 3/2
Answers
Answer:
-13/5
Step-by-step explanation:
Brian asked a group of people their favourite country . The results are summarised in the table. Destination UK Europe USA Africa Other
48 72 72 144 144
Answers
Answer:
I don’t really understand but here’s the table;
Step-by-step explanation:
UK = 48
Europe = 72
USA =72
Africa = 144
Other = 144
Answer:
ok so heres what that would look like
UK:48
Europe:72
USA:72
Africa:144
Other:144
Total:480