Answer:
The probability that the 2nd Heads occurred at the 4th toss is 5.99%.
Step-by-step explanation:
Given that there were 4 Heads in the first 7 tosses, to find the probability that the 2nd Heads occurred at the 4th toss the following calculation must be performed:
7 - 4 = 3
4/7 x 3/7 x 3/7 x 4/7 = X
0.571 x 0.428 x 0.428 x 0.571 = X
0.0599 = X
Therefore, the probability that the 2nd Heads occurred at the 4th toss is 5.99%.
A bookshelf holds 5 sports magazines and 5 architecture magazines.
When 3 magazines are taken from the shelf at random, without replacement, what is the probability that all 3 are architecture magazines?
3/25
1/125
1/12
1/8
Answer:
1/12
Step-by-step explanation:
The first time the person picks a magazine, they have a 5/10 chance of drawing an architecture magazine.
The second time, they have a 4/9 chance because they have already removed one magazine from the bookshelf
The third time, they have a 3/8 chance because they have already removed 2 magazines.
Multiply all of the probabilities together
5/10 * 4/9 * 3/8 = 60/720
Simplify:
60/60 / 720/60 = 1 / 12
Hope this helps!
Sum of two numbers is 84. If one of the numbers exceeds the other by 12, the numbers are
Answer:
54 and 30
Step-by-step explanation:
84÷2=42-12=30
42+12=54
A cylinder has a base radius of 6 feet and a height of 12 feet.What is it's volume in cubic feet, to the nearest tenths place
Answer:
[tex]volume = \pi {r}^{2} h \\ = 3.14 \times {6}^{2} \times 12 \\ = 1357.2 \: {ft}^{3} [/tex]
let f(x)=x-1 and g(x)=x^2+1
f(g)=___
Answer:f(g)=2
Step-by-step explanation:
ABCD is a kite, find the value of y
Answer:
All triangles add to 180 degrees.
180 = 90 + 40 + angle ABX
angle ABX = 180 - 90 - 40
Angle y = 50
Step-by-step explanation:
Write the prime factorization of 4
Answer:
2 x 2
Explanation:
The prime numbers that multiply to 4 are 2 and 2.
What is the common ratio for the geometric sequence below, written as a fraction?
768, 480, 300, 187.5, …
/
Answer:
5/8
Step-by-step explanation:
Find the common ratio by dividing one of the numbers in the sequence by the previous one:
480/768
= 0.625
Convert this to a fraction:
0.625
= 5/8
So, the common ratio is 5/8
PLEASE HELP FOR 10 POINTS what is the length of PM
A.) 3 units
B.) 4 units
C.) 5 units
D.) 6 units
Answer:
D
Step-by-step explanation:
The figures are the same just flipped. We can tell AD=NM ON=AB, BC=OP. Thus DC =MP
DC has the length of 6 and because MP is congruent to DC it also has 6.
Please help me with this I need it bad
Answer:
1
Step-by-step explanation:
The average rate of change is the gradient _
Gradient = Rise / Run = (y2 - y1) / (x2 - x1)
From the table ;
x2 = 4 ; x1 = - 1 ; y2 = 5 ; y1 = 0
Gradient = (y2 - y1) / (x2 - x1) = (5-0) / (4 - - 1) = 5/5 = 1
factorise m2+10m-24 please step by step
m^2+10m-24
=m^2+12m-2m-24
=m (m+12)-2 (m+12)
=(m-2)(m+12)
Answer:(m-2)(m+12)
if wrong correct me pls
I hope it helps mate
HAVE A GREAT DAY
#Liliflim
4x+9=41 x is equal to
Answer and Step-by-step explanation:
Simply solve for x (very easy to do).
4x + 9 = 41
Subtract 9 from both sides of the equation.
4x = 32
Divide both sides of the equation by 4.
x = 8
x is equal to 8.
#teamtrees #PAW (Plant And Water)
Can someone help me solve this
Answer:
[tex]y = {(x + 8)}^{3} - 9[/tex]
On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).
What is the perimeter of rhombus WXYZ?
the answer is 4,13 of the perimeter
A: A
B: B
C: C
D: D
Show work!
Answer: A
Step-by-step explanation:
Area of a triangle is base times height
We have a base made by point m and n with a length of 6
now the third point has to form a height which when put with the base, gets you 18
area of triangle is bh/2
so lets set height as h, 6x/2 = 18 6x = 36 x = 6
This means the point has to be 6 apart either left or right. Only point that matches this is a.
Translate and solve: twenty-three greater than b is at least −276.
Answer:
b+23≥-276
b≥-276-23
b≥-299
Step-by-step explanation:
hope this is helpful
Change 10 miles per hour to meters per second (hint: you'll need to
change from miles to kilometers, then change kilometers to meters)
how do i do this work shown!!
Answer:
10 miles per hour = 0.1862 meter per second
Step-by-step explanation:
Given
Speed in miles per hour = 10 miles per hour
As we know
1 mile = 1609.34 meters
and 1 hour = 24*60 *60 seconds
Thus, 10 miles per hour in meter per second would be
10 * 1609.34/24*60 *60
= 0.1862 meter per second
What is x3 – 25x factored completely
Answer:
x(x2-25)=o
x=0;x=5 and -5
Answer:
[tex] {x}^{3} - 25x \\ = x( {x}^{2} - {5}^{2} ) \\ = x(x - 5)(x + 5)[/tex]
Need help in understanding how to solve this problem.
>> Find an equation of the plane through (−2,3,2) and parallel to the plane 3x+y+z= 4
Answer:
Step-by-step explanation:
3x+y+z= 4
3x+ y = 4 - z
y = 4-z-3x
We then make parallel
y-2 = 4−z−3x
y-2 = 4-2 -z-3x
y-2 = 2-z-3x
y = -z-3x+2
Can I get the answer for 3 4 5 6
3) x=190, <BOC=85
4) x=177, <TOU=31
5) x=61, <LOM=110
6) x=55, <DOE=117
Please help due today
Answer:
55
Step-by-step explanation:
all of the angles in a triangle ALWAYS add up to 180 degrees.
do the math.
Express the given set in roster form.
Answer:
E= { 13 , 14 , 15 , .........94 }Step-by-step explanation:
hope it may help u
please mark as brainlist
(๑˙❥˙๑)
If f={(-1,-3), (1,1),(2,3),(4,6)} and g={(-1,-1),(1,7),(4,3)} what is (f+g)(4)?
Answer:
(f + g)(4) = 9
Step-by-step explanation:
We have that:
f = {(-1,-3), (1,1),(2,3),(4,6)}
this means that:
f(-1) = -3
f(1) = 1
f(2) = 3
f(4) = 6
and we also know that:
g = {(-1,-1),(1,7),(4,3)}
hich means that:
g(-1) = -1
g(1) = 7
g(4) = 3
Now we want to find:
(f + g)(4)
For the general case of two functions f(x) and g(x)
(f + g)(x) = f(x) + g(x)
Then:
(f + g)(4) = f(4) + g(4)
and we know both of these values, so we can just replace them:
(f + g)(4) = f(4) + g(4) = 6 + 3 = 9
Then we get:
(f + g)(4) = 9
For breakfast one morning, mum made 10 rotis. Rahul ate 1 1/2 rotis, Priya ate 2
rotis and Aman ate 3 1/4 rotis.
1. How many rotis did the children eat in total?
2. How many rotis were left?
Please help me I need help no links please
Cho tam giác ABC vuông cân tại A
Cạnh đáy BC 5cm, AB 7cm. Tính diện tích
Answer:
7 × 5 :2 it is the answer ,i love you
50 POINTS!!!!!!!!!!!!!!!
28,45,12,34,36,45,19,20
Find the mean absolute deviation of this set of data. PLEASE PUT STEPS
Answer:
10.125
Step-by-step explanation:
Given the data :
28,45,12,34,36,45,19,20
The mean absolute deviation of the data is :
Σ|x - mean| / n
n = number of values = 8
Mean = Σx / n = 239 / 8
Mean = 29.875
Take the sum of the absolute value if the difference between each data value and the mean, then divide by the data size
Using a mean absolute deviation calculator ;
Mean absolute deviation = Σ|x - mean| / n = 10.125
Question 3 (1 point)
3
A sample proportion is calculated from a sample size of 3. How large of a sample
would we need in order to decrease the standard error by a factor of 8?
1) 93
2) 51
3) 24
4) 192
5) 8
Josh's annual salary is $39.000. A total of $12.330.96 will be deducted for taxes and health insurance. He will receive his paycheck monthly in 12 equal installments. How much will he get paid with each paycheck?
Answer:
Step-by-step explanation:
without tax and insurance deduction- 3,250 (monthly)
with tax and insurance deduction-26,669.04/12=2,222.42 (monthly)
Can someone please help me? thank you
Answer:
c = (ef-ab)/d
Step-by-step explanation:
ab+cd = ef
Subtract ab from each side
ab+cd -ab = ef-ab
cd = ef-ab
Divide by d
cd /d =(ef-ab)/d
c = (ef-ab)/d
A dancing competition has 13 competitors, of whom four are American, two are Mexicans, four are Russians and three are Italians. If the contest result lists only the nationality of the competitors, how many outcomes are possible?
Answer:
900,900 outcomes are possible.
Step-by-step explanation:
Arrangements with repetition:
The number of possible arrangements of n elements, considered that they are divided in classes of [tex]n_1,n_2,...,n_n[/tex] elements, is given by:
[tex]A = \frac{n!}{n_1!n_2!...n_n!}[/tex]
A dancing competition has 13 competitors
This means that [tex]n = 13[/tex]
Four are American, two are Mexicans, four are Russians and three are Italians.
This means that [tex]n_1 = 4, n_2 = 2, n_3 = 4, n_4 = 3[/tex]
How many outcomes are possible?
[tex]A = \frac{13!}{4!2!4!3!} = 900900[/tex]
900,900 outcomes are possible.