Answer:
[tex]P(x = 1) = 0.3970[/tex]
[tex]P(x = 2) = 0.1307[/tex]
[tex]P(x = 3) = 0.0191[/tex]
[tex]P(x = 4) = 0.0011[/tex]
Step-by-step explanation:
Given
[tex]n =4[/tex]
[tex]p = 0.18[/tex]
Required
(a) - (d)
x | P(x)
0 | 0.452
1 |
2 |
3 |
4 |
To solve (a) to (d), we simply apply the following binomial probability formula
[tex]P(x) = ^nC_xp^x(1-p)^{n-x}[/tex]
Solving (a):
[tex]x = 1[/tex]
So, we have:
[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]
[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]
[tex]P(x = 1) = 4 * (0.18)^1 * (1-0.18)^3[/tex]
[tex]P(x = 1) = 0.3970[/tex]
Solving (b):
[tex]x = 2[/tex]
So, we have:
[tex]P(x = 2) = ^4C_2 * (0.18)^2 * (1-0.18)^{4-2}[/tex]
[tex]P(x = 2) = 6 * (0.18)^2 * (1-0.18)^2[/tex]
[tex]P(x = 2) = 0.1307[/tex]
Solving (c):
[tex]x = 3[/tex]
So, we have:
[tex]P(x = 3) = ^4C_3 * (0.18)^3 * (1-0.18)^{4-3}[/tex]
[tex]P(x = 3) = 4 * (0.18)^3 * (1-0.18)^1[/tex]
[tex]P(x = 3) = 0.0191[/tex]
Solving (d)
[tex]x = 4[/tex]
So, we have:
[tex]P(x = 4) = ^4C_4 * (0.18)^4 * (1 - 0.18)^{4-4}[/tex]
[tex]P(x = 4) = 1 * (0.18)^4 * (1 - 0.18)^0[/tex]
[tex]P(x = 4) = 0.0011[/tex]
Is 7 asolution for the equation 2x + 12=3x +(-2x + 5)
Answer:
No
Step-by-step explanation:
2X + 12=13x - 2x + 5
2X + 12= 11x+5
2x-11x = 5-12
-9x = -7
X = 7/9
so the answer is NO
What is a unit fraction of 4/5
Answer:
1/5
Step-by-step explanation:
There are 30 teachers in a school.It is anticipated that the number of teachers next year will increase by 10%. How many teachers should be there next year?
Answer:
33
Step by step explanation of the answer
Can y’all recount a story where you were proud of yourself for making a good decision when it was really difficult? Thanks!
Answer:
i was proud of myself when I finally figured out a difficult math problem. I didn't even ask for help. it was a hard time for me but I eventually came through.
Help needed qwp!
The table shows information about the type and numbet of sandwiches ordered by 80 customers. If 120 customers order a sandwich, how many would you expect to order a club?
If your driving 60miles an hour and you drive for 1hour how far do you travel?
Answer:
60 miles
Step-by-step explanation:
There are two ways to solve this:
1. They tell you that you drive at 60 miles an hour, so , in an hour, you drive 60 miles.
2. Is the way you should use in the future:
Distance = speed * time
Substitute the speed and times.
Distance = 60 * 1
Thus, you drive 60 miles in one hour
The distance that should be traveled be 60 miles
As we know that
[tex]Speed = \frac{distance}{time}[/tex]
Here
speed be 60 miles per hour
And, the time should be one hour
So, the distance should be
[tex]= 60\ miles\ per hour \times one\ hour[/tex]
= 60 miles
Therefore the distance that should be traveled be 60 miles
Learn more about the distance here:brainly.com/question/23774048
What is the equation of a line .........
Answer:
y = -x + 2, B is the answer
Step-by-step explanation:
If slope is -1, the equation is y = -x+b
Plug in (3,-1) into that equation.
-1 = -3 + b
b = 2
What do I do with e^y in the differential equation dy/dt =(2t)/(e^y)?
As you said, the equation is separable:
dy/dt = 2t / exp(y)
exp(y) dy = 2t dt
Integrate both sides:
∫ exp(y) dy = ∫ 2t dt
exp(y) + C₁ = t ² + C₂
Move the constant terms to one side. When you add them together, you get another constant, so you can ignore the subscript altogether:
exp(y) = t ² + C
Solve for y explicitly by taking the logarithm of both sides:
ln(exp(y)) = ln(t ² + C )
y = ln(t ² + C )
C can be any number; if it happens to be 0, then you have
y = ln(t ²) = 2 ln(t )
so B is the correct choice.
You can also approach this from the opposite angle: Assume y is one of the given solutions, then substitute it into the ODE. (Bit more trial-and-error involved, so not a good idea if you're short on time.)
For example, if y = 2 exp(t ) as in choice A, you have dy/dt = 2 exp(t ), so the ODE would become
2 exp(t ) = 2t / exp(2 exp(t ))
which is clearly (I hope) not true.
If the perimeter of a rectangle garden with a width of 15 is 125, what is the perimeter of the daily record it if the scale factor is 60%
Answer:
(here i assume that the daily record is another rectangle)
For a rectangle with width W and length L, the perimeter is:
P = 2*W + 2*L
in this case we know that:
P = 125
W = 15
Replacing these in the perimeter equation we get:
125 = 2*15 + 2*L
125 = 30 + 2*L
125 - 30 = 2*L
95 = 2*L
95/2 = L = 47.5
Now we know that the daily record has a scale factor of 60%.
This means that each measure of this rectangle is (60%/100%) times the equivalent measure of the rectangle garden.
Then if the width of the daily record is W' and the length of the daily record is L'
This means that:
L' = (60%/100%)*L = 0.6*L = 0.6*47.5
W' = (60%/100%)*W = 0.6*W = 0.6*15
Then the perimeter is:
P' = 2*0.6*47.5 + 2*0.6*15 = 75
(notice that is exactly the same than multiplying the original perimeter by (60%/100%) = 0.6)
The rectangle shown has a perimeter of 98 cm and the given area. Its length is 7 more than 5 times its width. Write and solve a system of equations to find the dimensions of the rectangle.
Answer:
35 is its width and 63 is its length.
Step-by-step explanation:
7 x 5 = 35 and 98 - 35 equals 63 which is the length.
Find the distance between the two points rounding to the nearest tenth (if ne
(-7, -7) and (1, -3)
pls pls help i will give brainliest
Answer:
give me a brainliest now
Step-by-step explanation:
given f(x)=4x^2 and g(x)=-1/5x^2 choose true or false
A f(x) and g(x) have the same axis of symmetry
B f(x) is wider than g(x)
C f(x) is narrower than g(x)
it is gonna be c trust me I know for a fact
Step-by-step explanation:
Hi...
You ask any irrelevant Question, that is why they get deleted.
A restaurant small salt shakers contains 0.6 ounces of salt. The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?
Answer:
13.8 ounces of salt
Step-by-step explanation:
A restaurant small salt shakers contains 0.6 ounces of salt. The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?
Step 1
Note that:
1 shaker = 0.6 ounces of salt
8 shakers = x
Cross Multiply
x = 8 × 0.6 ounces of salt
x = 4.8 ounces of salt
Step 2
The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?
This is calculated as:
18.6 ounces of salt - 4.8 ounces of salt
= 13.8 ounces of salt
Name the angles and sides of each pair of triangles that are congruent.
Answer:
Step-by-step explanation:
Corresponding parts of congruent triangles are congruent
WX ≅ DC
XY ≅ CY
WY ≅ DY
∠WXY ≅ ∠DCY
∠XWY ≅ ∠CDY
∠WYX ≅ ∠DYC
PLS HELP. URGENT!!!! I’ll give whatever points
a shopkeeper mixed 15.25 kg of hazelnuts with 4.75 kg of raisins. He packed the mixture equally into 5 boxes. What is the weight of each box?
Answer:
4kg
15.25 + 4.75 = 20
20/5 = 4
Step-by-step explanation:
Answer:
4 kgs
thats the sum by 5
hope it helps
ILL GIVE YOU BRAINLIEST AND ALL MY POINTS PLS HELP MEEE Tysm Algebra
Answer:
I think it is the second one haha loll
I need help with this someone please
1. What is the prime factorization of 402? *
Your answer
Answer:
Step-by-step explanation:
Prime factorization requires dividing by primes starting with smallest prime number
402/2=201
201/3=67, 67 is prime so we cannot go further so the prime factorization of 402 is
2X3X67
Write the equation of the line that passes through the points (4,7) and (8,6). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
y - 7 = [tex]-\frac{1}{4}[/tex] (x - 4)
Step-by-step explanation:
Find Slope: m = [tex]\frac{y_{2-}y_{1} }{x_{2-}x_{1} }[/tex]
m = [tex]\frac{6-(7)}{8-(4)}[/tex]
m = [tex]\frac{-1}{4}[/tex]
Point Slope Form: y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
y - 7 = [tex]-\frac{1}{4}[/tex] (x - 4)
Isaiah is going to invest $94,000 and leave it in an account for 16 years. Assuming the interest is compounded daily, what interest rate, to the nearest tenth of a percent, would be required in order for Isaiah to end up with $273,000?
Answer:
Step-by-step explanation:
r=6.7
If 3x + y +4- (y + 6) = 14 + x, what is the value of x?
2
3
6
8
Plz help me with this question
Answer:
122
Step-by-step explanation:
[tex]x^6+y^2[/tex]
Plug in 1 for x and 11 for y
[tex]=1^6+11^2[/tex]
1 to the power of any number will always equal 1
[tex]=1+11^2\\=1+121\\=122[/tex]
I hope this helps!
find area of circle
Answer: 75 ft^2
Step-by-step explanation:
Radius is half of the diameter. Diameter is given as 10.
3 (5)^2
3 x 25 = 75 ft^2
i need hell with this pleasee
The value of x in the expression
2x/3 - 7 = 5 is
Answer:
The answer is X = 18
Step-by-step explanation:
2x/3 - 7 = 5
Multiply both sides if the equation by 3 : 2x - 21 = 15
Move the constant to the right hand side and change its sign : 2x = 15 + 21
Calculate 2x = 15 + 21
2x = 36
Divide both sides of the eqaution by 2 : 2x = 36
x = 18
Answer X = 18
At a carnival, the cost to play a bowling game is $2, plus $0.40 for each attempt to knock over the pins. Which inequality would you use to find the number of attempts you can make if you have less than $4.30
Answer:
C
Step-by-step explanation:
Need an explanation pls
PLEASE HELP!! Find the value of x.