Answer:
P(X = 2) = 0.3157
Step-by-step explanation:
Let assume that the question wants us to determine the probability that, let say when 5 customers are randomly selected, exactly 2 of the customers are comfortable.
Then;
p = 0.31
n = 5; x = 2
q = 1 - p
= 1 - 0.31
= 0.69
∴
The probability mass function is:
[tex]P(X =x) = ^n C_r * p^x *q^{n-x}[/tex]
[tex]P(X =x) = ^5 C_2 * (0.31)^2 *0.69^{5-2}[/tex]
[tex]P(X =2) = \dfrac{5!}{2!(5-2)!} * (0.31)^2 *0.69^{3}[/tex]
[tex]P(X =2) = \dfrac{5!}{2!(3)!} * (0.31)^2 *0.69^{3}[/tex]
[tex]P(X =2) = \dfrac{5*4*3!}{2!(3)!} * (0.31)^2 *0.69^{3}[/tex]
[tex]P(X =2) = \dfrac{5*4}{2!} * (0.31)^2 *0.69^{3}[/tex]
[tex]P(X =2) =10* (0.31)^2 *0.69^{3}[/tex]
P(X = 2) = 0.3157
a cube with the number 1,2, 3, 4, 5 and 6; what is the probability of getting an even number?
Step-by-step explanation:
answer is one and half
Solve for m...
...
..
Answer: The answer is m=300.
Step-by-step explanation: Step 1. Simplify the both sides of the equation:
[tex]\frac{-1}{15}m=-20[/tex].
And step 2. Multiply the both sides by [tex]\frac{15}{(-1)}:[/tex]
[tex](\frac{15}{-1})*(\frac{-1}{15}m)=(\frac{15}{-1})*(-20).[/tex] I hoped this is very helpful, please mark me as brainliest, and happy new year!! :D
Solving for the value of m in the given equation, m / -15 = -20, will give us: m = 300.
How to Solve for a Variable in an Equation?To solve for a variable in an equation, isolate the variable on one side of the equation by performing inverse operations (such as addition, subtraction, multiplication, or division) to both sides until the variable is left alone.
To solve for m in the equation m/-15 = -20, we can isolate m by multiplying both sides of the equation by -15 (the reciprocal of -1/15). This will cancel out the denominator on the left side and give us the value of m.
Step 1: Multiply both sides of the equation by -15:
(-15) * (m/-15) = (-15) * (-20)
Step 2: Simplify:
m = 300
Therefore, the value of m is 300.
Learn more about equation on:
https://brainly.com/question/25678139
#SPJ6
Seni has a goal to save $500. So far he has saved $340.50 . How much more does he need to save to reach his goal?
Answer:
192.50
Step-by-step explanation:
500-340.50 = 192.50
159.5
Step-by-step explanation:
take 340.50 away from 500, you will have 159.50 left
Please help me this is due in 10 minutes.
Answer:
1.07
Step-by-step explanation:
3.21/3=1.07
5.35/5=1.07
8.56/8=1.07
Ali took five Math tests during the semester and the mean of his test score was 85. If his mean after the first three was 83, What was the mean of his 4th and 5th tests
Answer:
88
Step-by-step explanation:
Mean of five test = 85
Sum of five tests = 85*5 = 425
Mean of first three test =83
Sum of first three test = 83 * 3 = 249
Sum of 4th and 5th test scores = 425 - 249
= 176
Mean of his 4th and 5th test = 176/2 = 88
Which postulates can be used to prove congruence?
Answer:
SAS postulate.. is the answer
Which equation can be used in system of equations to solve for the unknown? CHECK ALL THAT APPLY
1) A=2
2) -6A+B=2
3) 3A-B+C=1
4) B=0
5) 9A-3B+C=1
Answer:
A and E
Step-by-step explanation:
edge 2021
Answer:
Option A and E are the correct answers.
50 POINTS
What is the area of a rectangle with a length of 8.96 in and a length of 7.7?
a 68.992 in3
b 68.992 in2
Answer:
thats only 25
Step-by-step explanation:
i need help with this question please
Answer:
x axis - (18,0)
y axis - (0,12)
quadrant I - (4.5, 10.6)
quadrant II -(-15,21)
quadrant III - (-3/4, -4 1/9)
quadrant IV - (0,-7)
Step-by-step explanation:
Speedy Oil provides a single-channel automobile oil change and lubrication service. Customers provide an arrival rate of 4 cars per hour. The service rate is 5 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution. a. What is the average number of cars in the system
Answer:
4 customers
Step-by-step explanation:
Given that:
Mean Arrival rate (λ) = 4 cars per hour
Service rate (u) = 5 cars per hour
Using the queuing formula :
The average number of cars in the system can be obtained using the relation :
Number of customers in the system (L)
Number of customers in queue = (Lq)
L = Lq + (λ/u)
Lq = λ^2 / u(u - λ)
Hence,
Lq = 4^2 / 5(5 - 4)
Lq = 16/ 5(1)
Lq = 16/ 5
Lq = 3.2
L = 3.2 + (4/5)
L = 3.2 + 0.8
L = 4
find the multiplicative inverse of 7 in mod 9
Answer:
-1/7
Step-by-step explanation:
The inverse of 7 is simply the opposite
Points cuz it’s the holidays,, stay safe !
Merry Late Christmas and Happy early New Years !!! Hope you stay safe and healthy during these times :))
On a field trip, there are 3 chaperones for every 20 students. There are 92 people on the trip. Answer these questions. If you get stuck, consider using a tape diagram.
Answer:
I don't really know what the question is but..
Step-by-step explanation:
Since total of 92 people in the trip including student and chaperon, add groups of 23 to become 92 or use this equation
(20+3)xy=92
23y=92
y=92/23
y=4
therefore,
20x4=80 (students)
3x4=12 (chaperons)
Answer:
15 chaperones
Step-by-step explanation:
1. Okay, First you're going to see how many times 20 can feet into 92. Which is 4.5 times. However, you cannot cut someone in half. So the answer would actually be 5. Then. Just do 5*3, because remember, there are THREE chaperones for every 20 students.
A triangular prism and its dimensions are shown in the diagram
What is the total surface area of this triangular prism in square meters?
Answer:
need a thanks
Step-by-step explanation:
Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A = 1 2 b h is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.
The total surface area of the triangular prism is 240 m².
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The total surface area of a triangular prism.
= Perimeter x length + base x height
= (6 + 6 + 8) x 10 + 8 x 5
= 20 x 10 + 40
= 200 + 40
= 240 m²
Thus,
The total surface area is 240 m².
Learn more about prism here:
https://brainly.com/question/12649592
#SPJ2
0.124
[tex]0.124five \: base \: two [/tex]
Let x be the number equal to 0.124₅, so that
x = 1•5⁻¹ + 2•5⁻² + 4•5⁻³
Multiply x by 5³ to convert it to a whole number:
5³x = 1•5² + 2•5¹ + 4•5⁰
Convert everything to base 2:
5³ = 125 = 64 + 32 + 16 + 8 + 4 + 1 = 1111101₂
1•5² + 2•5¹ + 4•5⁰ = 25 + 10 + 4 = 39 = 32 + 4 + 1 = 100111₂
Then
1111101₂ x = 100111₂
so that
x = 100111₂ / 1111101₂
I've carried out the first several steps in the division in the attached table, with more bits added to the result. The number in base 2 does not terminate. You end up with approximately
0.010011111101111100111...₂
. 90 decimeters = _______________ millimeters
A 2,100-square-foot home in Cheyenne, Wyoming, costs $110 per square foot. How much does this home cost?
If RSTU is a rhombus, find the measure of angle RUT.
Finding x:
We know that the diagonals of a rhombus bisect its angles
So, since US is a diagonal of the given rhombus:
∠RUS = ∠TUS
10x - 23 = 3x + 19 [replacing the given values of the angles]
7x - 23 = 19 [subtracting 3x from both sides]
7x = 42 [adding 23 on both sides]
x = 6 [dividing both sides by 7]
Finding ∠RUT:
We can see that:
∠RUT = ∠RUS + ∠TUS
Since we are given the values of ∠RUS and ∠TUS:
∠RUT = (10x - 23) + (3x + 19)
∠RUT = 13x - 4
We know that x = 6:
∠RUT = 13(6)- 4
∠RUT = 74°
Please answer this thanks
Answer:
It's C! 75%
Step-by-step explanation:
Answer: 75%
Step-by-step explanation:
Just form the simple equation of 14/8=x/100
cross mulitply: 8x=1400
=> x=175
175-100(super important step)=75
75%
:) Tada your answer. Have a nice day
Help?
8th grade math
Answer:
Step-by-step explanation:
(m-8)^2 × n
= (10-8)^2 × 2
= (2)^2 × 2
= 4 × 2
= 8
If you divide a polynomial f(x) by the factor (x - 4), the remainder will be equal to f(-4).
true or false ?
Answer:
False
Step-by-step explanation:
Given
Polynomial: f(x)
Divisor: (x - 4)
Required
Determine the remainder
To determine the remainder, we have to equate x - 4 to 0
i.e.
[tex]x - 4 = 0[/tex]
Add 4 to both sides
[tex]x - 4+4 = 0+4[/tex]
[tex]x = 0+4[/tex]
[tex]x = 4[/tex]
Substitute 4 for x in f(x) to get the remainder.
So, f(x) becomes f(4)
The result of f(4) is the remainder f(x) when divided by x - 4
Hence, the statement is false.
2./10
To rationalize the denominator of
311
you should multiply the expression by which fraction?
Complete Question:
To rationalize the denominator of 2√10/3√11 , you should multiply the expression by which fraction?
Answer:
Multiply by [tex]\frac{\sqrt{11}}{\sqrt{11}}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2\sqrt{10}}{3\sqrt{11}}[/tex]
Required
To rationalize
To do this, we simply multiply the expression by the fraction of [tex]\frac{\sqrt{11}}{\sqrt{11}}[/tex]
This gives:
[tex]\frac{2\sqrt{10}}{3\sqrt{11}} * \frac{\sqrt{11}}{\sqrt{11}}[/tex]
[tex]\frac{2\sqrt{10 * 11}}{3\sqrt{11 * 11}}[/tex]
[tex]\frac{2\sqrt{110}}{3\sqrt{121}}[/tex]
Express [tex]\sqrt{121[/tex] as 11
[tex]\frac{2\sqrt{110}}{3*11}[/tex]
[tex]\frac{2\sqrt{110}}{33}[/tex]
Hence:
[tex]\frac{2\sqrt{10}}{3\sqrt{11}}[/tex] = [tex]\frac{2\sqrt{110}}{33}[/tex]
Kendal bought x boxes of cookies to bring to a party. Each box contains 12 2 points
cookies. Someone else brought 24 cookies. Let 'y' represent the total
number of cookies at the party. Show an equation in SLOPE-INTERCEPT
FORM that models this situation. Kendal brings 60 boxes to the party. How
many cookies in total were at the party?
Answer:
744 cookies
Step-by-step explanation:
PLZ MARK BRAINLIEST ON THE TOP RIGHT CLICK THE CROWN.
If sigma notation n²=204,then n=
n is equal to the square root of 204
n=[tex]\sqrt{204}[/tex]
n=2[tex]\sqrt{51}[/tex]
1 + 1 = ?
I am a Collage Student and i have ZERO idea what this is.
This is a puzzle can someone solve it
Answer:
Xavier, Yeoman, and Zenger
Step-by-step explanation:
He spoke to them multiple times during the given time period while he only spoke to Osborn once.
Triangle ABC has the following vertices:
A(-8,7)
B(0, -5)
C(9,1)
Is triangle ABC a right triangle, and why?
Answer:
Yes because AB ⊥ BC
Step-by-step explanation:
Answer: Yes because AB ⊥ BC
Step-by-step explanation: Khan Academy
Angle A and B are supplementary angles. Angle A measures 45 degrees. What is the measurement of angle B?
Answer:
135
Step-by-step explanation:
Supplementary means both angles equal 180 degrees when combined
180 - 45 = 135
Complementary means both equal 9 degrees when combined
if u think connect the lines of S and it makes and 8 for 180 and C makes 9 for 90
The measurement of the angle B should be considered as the 135 when the Angle A is given.
Calculation of the measurement of angle B:Since
Angle A and B are supplementary angles.
Angle A measures 45 degrees.
So we know that the sum of the supplementary angles is sum upto 180 degrees
So, it can be like
A + B = 180
45 + B = 180
B = 180 - 45
= 135 degrees
hence, The measurement of the angle B should be considered as the 135.
Learn more about an angle here: https://brainly.com/question/16616666
Sammy´s fitness goal is to do 60 pull ups. She is up to 40% of her goal. How many pull ups can Sammy do?
Which recursive definition produces an arithmetic sequence where g(5) = 8 and g(10) = 10?
Answer:
gₙ = gₙ₋₁ + 0.4, with g₁ = 6.4
Step-by-step explanation:
The n-th term of an arithmetic sequence can be written as:
gₙ = g₁ + (n - 1)*d
Where g₁ is the first value, and d is the difference between any two consecutive terms of this sequence.
Then we have the equations:
g₅ = 8 = g₁ + (5 -1)*d
g₁₀ = 10 = g₁ + (10 - 1)*d
This is a system of equations, we can rewrite this as:
8 = g₁ + 4*d
10 = g₁ + 9*d
To solve this, the first step will be isolate one of the variables in one of the equations, i will isolate g₁ in the first equation:
g₁ = 8 - 4*d
Now we can replace this in the second equation to get:
10 = 8 - 4*d + 9*d
10 = 8 + 5*d
10 - 8 = 5*d
2 = 5*d
2/5 = d = 0.4
Now with this, we can find the value of g₁ by using the equation:
g1 = 8 - 4*d = 8 - 4*(2/5) = 8 - 8/5 = 6.4
Then the nth term of this sequence can be written as:
gₙ = 6.4 + (n - 1)*0.4
This relation also can be written as:
gₙ = gₙ₋₁ + d = gₙ₋₁ + 0.4, with g₁ = 6.4
Then the correct option is the second option.