Answer:
a) 0.0256 = 2.56% probability of 4 heads.
0.1296 = 12.96% probability of 4 tails.
b) The probability is 0.0576 = 5.76%.
c) 6 outcomes given 2 heads in 4 tosses. 0.3456 = 34.56% probability of 2 heads in 4 tosses
Step-by-step explanation:
For each throw, we have these following probabilities:
0.4 = 40% probability of heads.
0.6 = 60% probability of tails.
(a) Compare the probability of 4 heads in 4 tosses and 4 tails in 4 tosses.
4 heads:
4 throws, each with 0.4 probability of heads. So
[tex](0.4)^4 = 0.0256[/tex]
0.0256 = 2.56% probability of 4 heads.
4 tails:
4 throws, each with 0.6 probability of tails. So
[tex](0.6)^4 = 0.1296[/tex]
0.1296 = 12.96% probability of 4 tails.
(b) Determine the probability of H T H T in 4 tosses.
H = 0.4, T = 0.6. So
[tex]p = 0.4*0.6*0.4*0.6 = 0.0576[/tex]
The probability is 0.0576 = 5.76%.
(c) Determine the number of outcomes that give us 2 heads in 4 tosses in any order. What is the probability of 2 heads in 4 tosses (use (b) and the number of outcomes)
Number of outcomes:
The possible outcomes are:
H - H - T - T
H - T - H - T
H - T - T - H
T - H - H - T
T - H - T - H
T - T - H - H
6 outcomes given 2 heads in 4 tosses.
Each with probability 0.0576, as found in b)
6*0.0576 = 0.3456
0.3456 = 34.56% probability of 2 heads in 4 tosses
What absolute value represents a number greater than |0.37|
A: |-0.38|
B: |-0.35|
C: |-0.37|
D: |-0.39|
No wrong answers!
Ashley rode her bicycle 29.4 miles in 4 hours. She rode the same number of miles each hour. How many miles did ride her bike in 1 hour?
what is 250,000 divided by 12
Answer:
20833.3
Step-by-step explanation:
Answer:
tthe answer is. 20833.3
Solve the equation for all values of x in simplest form:
(x – 3)^2 = 11
A directed line segment starts at (1.0) and ends at (4.6), Point R partitions the segment
in the ratio of 2 to 1. What are the coordinates of point R?
(PLEASE HELP ASAP)
9514 1404 393
Answer:
(3.4)
Step-by-step explanation:
The length of the given segment is 4.6 -1.0 = 3.6. The first portion of the division will be 2/(2+1) = 2/3 of that length, or (2/3)(3.6) = 2.4.
Then the coordinates of point R are ...
(1.0) +(2.4) = (3.4)
__
Additional comment
We cannot tell if your coordinates are supposed to be Cartesian coordinates (1, 0) and (4, 6), or if they are points on a number line. As it happens, it makes no difference. The final answer is interpreted the same way the given coordinate points are interpreted: 3.4 on a number line or (3, 4) on a plane.
5.2÷____= 0.052 please help meh :(
Answer:
The answer is 0.01 because 0.052=520 0.052 divided by 5.2=0.01
Step-by-step explanation:
In a class of 30 students, 13 of them are boys.
What percentage of the class are girls?
Give your answer to 1 decimal place.
Answer:
56.7%
Step-by-step explanation:
30-13=17
(on a scientific calculator) 17/30=
0.56666667 x 100= 56.7 (round it up)
you can use this method everytime when trying to find a percantge.
what is 13x25+3÷
15 please help im bad at math
Answer:
325.2
Step-by-step explanation:
The population of Buhlerville is 92,000 in 2019. The population of the city was 94880 in 2021. What is the
expected population in 2022?
Answer:
96320
Step-by-step explanation:
The population of Buhlerville will be 96320
Factor 4x+16y using the gcf
URGENT Erin is taking part in a play at the community theater. The cast and crew ordered T-shirts for all the volunteers. The cost of a T-shirt is $8, and the total delivery charge is $45 per order. If the center has no more than $325 to buy T-shirts, how many T-shirts can they buy?
Answer:
B is the correct answer. Less than or equal to 35 t shirts orders.
Step-by-step explanation:
The volume of this cylinder is 1751 cubic units. What is the volume of a cone that has the same base area and the sam height
Answer:
[tex]V_2 = 583.67[/tex]
Step-by-step explanation:
Given
Represent the volume of the cylinder with V1 and the cone with V2.
So:
[tex]V_1 = 1751[/tex]
Required
Find V2
The volume of a cylinder is:
[tex]V_1 = \pi r^2h[/tex]
Because the cone and the cylinder have the same base area and height, the volume of the cone is:
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
Substitute [tex]V_1[/tex] for [tex]\pi r^2h[/tex].
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
[tex]V_2 = \frac{1}{3}V_1[/tex]
Substitute 1751 for V1
[tex]V_2 = \frac{1}{3} * 1751[/tex]
[tex]V_2 = \frac{1* 1751}{3}[/tex]
[tex]V_2 = \frac{1751}{3}[/tex]
[tex]V_2 = 583.67[/tex]
The volume of the cone is 583.67 cubic units
HELPPSKEJSSJS THANKSSSS
Answer:
-7
Step-by-step explanation:
20 points i will mark brainiest
Question 4
(08.03)
Solve the system of equations and choose the correct answer from the list of options.
x − y = 7
y = 3x + 12
Question 4 options:
1)
2 over 19 comma 2 over 33
2)
negative 2 over 19 comma negative 33 over 2
3)
negative 19 over 2 comma negative 33 over 2
4)
19 over 2 comma 33 over 2
Answer:
x = -9 1/2
y = -16 1/2
Step-by-step explanation:
x - y = 7
solve the above for 'y': -y = 7 - x
multiple each side by -1: y = x - 7
now both equations are in 'y=' form
x - 7 = 3x + 12
-2x - 7 = 12
-2x = 19
x = -19/2 or -9 1/2
-9.5 - y = 7
-y = 16.5
y = -16.5 or -16 1/2
Answer:
(-19/2, -33/2)
Step-by-step explanation:
Please help I need by Tomorrow!
Answer:
[tex]f(a) = 5a + 1[/tex]
[tex]f(a + h) = 5a + 5h +1[/tex]
[tex]\frac{f(a + h) - f(a)}{h} =5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5x + 1[/tex]
Solving (a): f(a)
Substitute a for x in [tex]f(x) = 5x + 1[/tex]
[tex]f(a) = 5a + 1[/tex]
Solving (b): f(a + h)
Substitute a + h for x in [tex]f(x) = 5x + 1[/tex]
[tex]f(a + h) = 5(a + h) +1[/tex]
Open bracket
[tex]f(a + h) = 5a + 5h +1[/tex]
Solving (c): [tex]\frac{f(a + h) - f(a)}{h}[/tex]
In (a):
[tex]f(a) = 5a + 1[/tex]
In (b):
[tex]f(a + h) = 5a + 5h +1[/tex]
So:
[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a+5h+1 - (5a+1)}{h}[/tex]
Open bracket
[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a+5h+1 - 5a-1}{h}[/tex]
Collect Like Terms
[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a- 5a+5h+1 -1}{h}[/tex]
[tex]\frac{f(a + h) - f(a)}{h} =\frac{5h}{h}[/tex]
[tex]\frac{f(a + h) - f(a)}{h} =5[/tex]
The ratio of boys to girls is 5 to 7 there are 45 boys in the school play how many girls are in the play
Answer:
63 girls.
Step-by-step explanation:
45 boys divided by 5= 9
9x7= 63 girls
The volume of a cylinder with a radius of 3 inches and a height of 6 inches is 56.55 in? (Use V = Tt r2h.)
O True
O False
Please help
False
The volume of this cylinder is actually about 169.65
1,2,3,5
_ _ _ _
6,7,4,8
Which of the following is NOT the numerator
of a fraction listed above?
(A) 2
(B) 3
(C) 4
(D) 5
Please answer 1 and 2 soon
Answer:
1.36+3+(32)(2)
=57
error is that 6 is the wrong answer
ASAP — PLS HELP OUT
WILL MARK BRAINLIEST AND GIVE A LOT OF POINTS
I need help with this is this circumference or areas will mark you brainly if right
I need help I’m not sure if this the right answer.!
Answer:
is A
Step-by-step explanation:
00000000000000000000000000
Answer:
Its 0 because 12+ (-12) = 0
Solve the system of equations by the substitution method.
y = 4x-9
y-x=-3
A.(2, -1)
B.(-4,-7)
C.(-1,2)
D.(-7,-4)
Answer:
A. (2, -1)
Step-by-step explanation:
(4x - 9) - x = -3
3x - 9 = - 3
3x = 6
x = 2
y = 4(2) - 9
y = 8 -9
y = - 1
(2, -1)
Check
-1 - 2 = -3
Consider the function.
3
f(x) = -X + 12
4
What is the y-intercept of f'(x)?
-16
ООО
- 12
3
4
Answer:
A. -16
Step-by-step explanation:
Note that [tex]f^{-1}(x)[/tex] stands for the inverse of [tex]f(x)[/tex]. We can write the graph as [tex]y=\frac{3}{4}x+12[/tex]. Switching [tex]y[/tex] with [tex]x[/tex] and vice versa will now get us the inverse of the graph, so we see that the inverse is [tex]x=\frac{3}{4}y+12[/tex].
We are asked for the y-intercept, which is the point for which [tex]x=0[/tex]. Substituting that gives [tex]0=\frac{3}{4}y + 12[/tex] or [tex]\frac{3}{4}y = -12[/tex], so [tex]y=-12\cdot \frac{4}{3} = -16.[/tex] We are now done.
y = -2x + 2 y = 5x + 9
Select all the expressions that are solutions to 5=2/3x. A. 5 2/3 B. 5 2/3 D. 15/2 E. 10/3
Answer:
C. 5 divided by 2/3
D. 15/2
E. 3/2 X 5
hope this helps
Step-by-step explanation:
what is the answer I need it urgently
Elliot has 4 1/3 candy bars. He gives 2/3 of a candy bar to Sara and 1/3 of a candy bar to Bill. How much does Elliot have left? (Work it out)
Answer:
10/3 or 3 1/3
Step-by-step explanation:
4 1/3= 13/3 as a mixed fraction
he gives 2/3 to sara:
13/3 - 2/2= 11/3
then he gives 1/3 to bill:
11/3-1/3= 10/3
he has 10/3 which is equal to 3 1/3
5. What is the second step in proving by mathematical induction that for every positive integer n, 11" - 6 is divisible by
5, is true?
Let n = k. Then assume that 11" - 6 is divisible by 5.
Let n = 1. Then assume that 111 - 6 is divisible by 5.
Let n = k. Then assume that 11k+1 – 6 is divisible by 5.
O Let n = (k + 1). Then assume that 11k - 6 is divisible by 5.
NEED THIS ASAP
NEED A EXAM DONE WILL PAY
Answer:
The correct answer is A:Let n = k. Then assume that 11" - 6 is divisible by 5. sorry if im wrong but if correct pls mark brainliest
Answer:
Step-by-step explanation:
Premise: If n is a positive integer, then 11ⁿ-6 is divisible by 5.
Let n=1.
11¹-6 = 5, so the premise is true for n=1.
Suppose the premise is true when n is an integer greater than 1,
then 11ⁿ-6 is divisible by 5.
11ⁿ⁺¹-6 = 11·11ⁿ - 6
= (10+1)11ⁿ - 6
= (10·11ⁿ) + (1·11ⁿ) - 6
= (10·11ⁿ) + (11ⁿ - 6)
Both terms are divisible by 5, so 11ⁿ⁺¹-6 is divisible by 5. Therefore, the premise holds true for n+1.
Proof by induction.
Jack's Plumbing charges customers $100 per hour for repair jobs. A-1 Plumbing charges according to
the equation y = 75x + 50, where x = time in hours and y = cost in dollars.
Explain why A-1 Plumbing charges less than Jack's Plumbing for a 4-hour repair job.
Does A-1 Plumbing charge less than Jack's Plumbing for all repair jobs? Explain why or why not.
PLEASE HELPP
Answer:
37/3
Step-by-step explanation: