Answer:
[tex]P(x =2) = 0.3020[/tex]
Step-by-step explanation:
Given
[tex]p =20\% = 0.20[/tex]
[tex]n = 10[/tex]
Required
[tex]P(x = 2)[/tex]
This question is an illustration of binomial distribution where:
[tex]P(X = x) = ^nC_x * p^x * (1 - p)^{n-x[/tex]
So, we have:
[tex]P(x =2) = ^{10}C_2 * 0.20^2 * (1 - 0.20)^{10-2}[/tex]
[tex]P(x =2) = ^{10}C_2 * 0.20^2 * 0.80^8[/tex]
This gives
[tex]P(x =2) = \frac{10!}{(10 - 2)!2!} * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = \frac{10!}{8!2!} * 0.20^2 * 0.80^8[/tex]
Expand
[tex]P(x =2) = \frac{10*9*8!}{8!2*1} * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = \frac{10*9}{2} * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = 45 * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = 0.3020[/tex]
The probability that 2 out of the next ten customers will order the chef special is 0.3020. and this can be determined by using the binomial distribution.
Given :
20% of the patron's order the chef's special. Sample size, n = 10To determine the probability formula of the binomial distribution is used, that is:
[tex]\rm P(x = r) = \; ^nC_r \times p^r \times (1 - p)^{n-r}[/tex]
Now, at n = 10 and r = 2, the probability is given by:
[tex]\rm P(x = 2) = \; ^{10}C_2 \times (0.2)^2 \times (1 - 0.2)^{10-2}[/tex]
[tex]\rm P(x = 2) = \; ^{10}C_2 \times (0.2)^2 \times (0.8)^{10-2}[/tex]
[tex]\rm P(x = 2) = \; \dfrac{10!}{(10-2)!\times 2!} \times (0.2)^2 \times (0.8)^{8}[/tex]
[tex]\rm P(x = 2) = \; 45 \times (0.2)^2 \times (0.8)^{8}[/tex]
P(x = 2) = 0.3020
The probability that 2 out of the next ten customers will order the chef special is 0.3020.
For more information, refer to the link given below:
https://brainly.com/question/1957976
Give an example of a real-world permutation in which repetition is allowed one in which repetition isn’t allowed.
Answer:
Example 1: The PIN code is an example when order is important. The PIN code 1234 is different from the PIN code 4321. When selecting more than one item without replacement and order is important, it is called a Permutation. When order is not important, it is called a Combination.
Step-by-step explanation:
When we hear the word "combination" in our daily life, we immediately think about the collection of things in the form of a set or a group. For instance, if anyone says that my bowl has a combination of apples, carrots, and bananas, then we immediately think that the bowl has three items. We are not concerned with the order in which these three things were put in the bowl. In mathematics, the combination means the number of ways in which different objects are combined to form a set.
Answer:
so the other guy can get brainlest ur welcome
Step-by-step explanation:
Please help me I need to finish
The given triangle is a Right angled triangle,
By applying trigonometry :
[tex] \boxed{\tan( \theta) = \frac{opposite \: \: side}{adjacent \: \: side} }[/tex]
[tex] \tan(45 \degree) = \dfrac{7}{a} [/tex][tex]1 = \dfrac{7}{a} [/tex][tex]a = 7[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
If x plus 3/4 = 1, then which point on the number line could be x?
Answer:
x=1/4
Step-by-step explanation:
1/4+3/4=1 whole
Answer:
[tex]x = \frac{1}{4}[/tex]
Step-by-step explanation:
Step 1: Subtract [tex]\frac{3}{4}[/tex] from 1
[tex]1 - \frac{3}{4}\\\\= \frac{1}{4}[/tex]
Therefore, the point could be [tex]\frac{1}{4}[/tex]
Solve:
3/4 + 6/7 + 2/9
The answer is 1.829365
Step-by-step explanation:
3/4+6/7+2/9=1.83
Answer:
461/252
Step-by-step explanation:
See the steps below:)
I will mark brainliest pls help
Answer:
15
Step-by-step explanation:
2x + 4,x²-4 answer 7 class
Please help me answer this
Will give Brainly
Answer:
9.103
10. 77
11.60
12. 6.4
13. 20
14. 36
Step-by-step explanation:
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
180 - (47 + 30) = 103
DEG = 180 - 103 = 77 angles on a straight line equals 180
An equilateral triangle has all 3 sides equal
if the sum of angles in a triangle is 180 degrees, each angle measures 180 / 3 = 60
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
5² + 4² = 41
squareroot of 41 = 6.4
b : √(25² - 15²) = 20
√(60² - 48²) = 36
Which of the following is the graph of 2x+3y=6
Taking point (0,-2) of graph one and replacing in the equation;
2x+3y=6
2(0)+3(-2)=6
-6=6
So graph isn't the required graph.
Taking point (0,2) of graph 2;
2x+3y=6
2(0)+3(2)=6
6=6
So, graph 2 is the required graph.
Answer:
nice
Step-by-step explanation:
solve for x what is the answer
T = 60°
Step-by-step explanation:
Angle S = 180° - 150° = 30°
Angle U = 90°
Therefore, angle T is given by
S + U + T = 180
30° + 90° + T = 180°
or
Angle T = 60°
Please halp...............
Answer:
k = 1/5
Step-by-step explanation:
We know the formula y = kx
Using one of the points and substituting y and x
12 = k(60)
Divide each side by 60
12/60 = k*60/60
1/5 = k
Answer:
1/3
Step-by-step explanation:
its 1/3 because if you start from 3 to up its counting by 3 and in fractions you can write 1/3 which is not a whole but its to 3
Erin has 4 pieces of yarn that are 6 yards each. She uses 9 pieces of yarn that are each 2 feet long How much yarn does Sarah have left?
Answer:
6
Step-by-step explanation:
4 x 6=24 9 x 2=18
24-18=6
What is the degree of the polynomial 3x-6
Answer:
1
Step-by-step explanation:
the degree of 3x-6 is 1
Select all that are true for Triangle PQR
In other words, only choice A and choice D are false.
====================================================
Explanation:
An included angle is one between two given sides. Think of the angle sandwiched in between.
For choice A, the included angle is actually angle R. This is because the "R" shows up in QR and RP. This is the overlapping or shared letter between the segments. So we can see that statement A is false.
In contrast, choice B and choice C are true. Choice B is true because of what I mentioned in the previous paragraph. Choice C is true because Q shows up in both QR and PQ. It might help to draw out the diagram to see why this works.
------------------------
For choices D through F, we'll just take this logic in reverse.
The segment RP has angles R and P involved. In other words, segment RP is between angles R and P. We can rule out choice D since choice E is true.
Choice F is true as well because segment QP involves angles Q and P. No diagrams are needed but it might help to draw out the diagram to see what's going on.
------------------------
Overall, we have four true statements and they are choices B, C, E and F.
Lena wants to replace a glass window in her restaurant. The window is in the shape of a square. Its side lengths are 7 feet. Suppose glass costs $7 for each square foot. How much will the glass cost to replace the window?
Step-by-step explanation:
It helps to draw a picture but also write what you are given
The square measures 7ft on all sides
youre paying by the square foot
to get square feet, use L x W
so 7ft x 7ft = 49 ft^2
so if we are charged $7 for 1 ft^2, then you add $7, 49 times
So youd write and solve
7 + 7 + 7 + 7 +... + 7 = $7 x 49ft^2
what times what equals -4 and adds up to 3
Answer:
-4 and 1
Step-by-step explanation:
-4 times 1 equals -4 and then -4 plus 1 equals 3
The two numbers that satisfy the given conditions are 4 and -1. They multiply to -4 and add up to 3.
To find two numbers that satisfy the given conditions, we can set up a system of equations.
Let's assume the two numbers are represented by 'x' and 'y'. We know that their product is -4 and their sum is 3, so we can write the following equations:
xy = -4 (Equation 1)
x + y = 3 (Equation 2)
To solve this system of equations, we can use the substitution or elimination method. Let's use the substitution method.
From Equation 2, we can express y in terms of x: y = 3 - x.
Substituting this into Equation 1, we get:
x(3 - x) = -4
Expanding and rearranging the equation, we have:
3x - x² = -4
Rearranging again, we get a quadratic equation:
x² - 3x - 4 = 0
We can factor this equation:
(x - 4)(x + 1) = 0
Setting each factor to zero, we find two possible solutions for x:
x - 4 = 0 --> x = 4
x + 1 = 0 --> x = -1
Now, we can substitute these values of x back into Equation 2 to find the corresponding values of y:
For x = 4: y = 3 - 4 = -1
For x = -1: y = 3 - (-1) = 4
Therefore, the two numbers that satisfy the given conditions are 4 and -1. They multiply to -4 and add up to 3.
To learn more about the system of equations;
brainly.com/question/13729904
#SPJ6
Select the correct answer. Which of the following is equal to the expression below? (8 - 320) 3 OA. 40 O B. 30 OC. 10 5 OD. 835
Answer:
Quesiton is not clear. here is the asnswer basing on our understand
Step-by-step explanation:
(8-32)3 = (-24*3) = =72
Enter the correct answer in the box.
Simplify the expression (62,4.
Answer:
1679616
Step-by-step explanation:
Olivia bought a notebook for $12.50 and 9 pens. If her total was $43.73, how
much was each pen?
Help quick pls
Answer:
$3.47
the cost of each pen is $3.47
Step-by-step explanation:
subtract the price of notebook from total price
43.73 - 12.50
= 31.23
divide total from number of pens
31.23 / 9
= 3.47
Jim purchased a hat for $21.60 and a pair of gloves for $16.80. He received a discount of 20% and paid 8% for sales tax. What was the total price?
Help me PLEASEEEEEEEEEEEEE
PLEASE HELP ME I BEG YOU
1- False
2- False
3- False
4-False
Can someone help me
Answer:
y= -2/5x + 5
Step-by-step explanation:
Answer:
y=-2/5x+5
is the answer
HOPE IT HELPEDJemma wants to solve the following system using the elimination method:
y = x − 6
y = 6x − 19
What number should the equation y = x − 6 be multiplied by to eliminate x?
1
2
4
−6
Answer:
Your answer is -6
Step-by-step explanation:
144 seventh graders would check out fancy books
What is the measure of angle c?
Answer:
c=29°
Step-by-step explanation:
angle b=97°{ vertically opposite angle}
now,
97°+54°+c=180°{ sum of angle of triangle}
x=180-151x=29°stay safe healthy and happy.Answer: I'm pretty sure it's 29 degrees.
Step-by-step explanation:
Angle b is directly opposite of 97, and is the same. So b is equal to 97. Every triangle is 180 degrees, so all you have to do is 180 - 54 - 97, which is 29. I hope that helps!!
Help pleaseeeeeeeeeeee
Answer:
60
Step-by-step explanation:
All angles in a triangle equal 180
you already have Angles A (30) and C (90)
Set your formula up as
180-30-90=B
60=B
Find the sample mean on the outputs. Does the sample mean provide some evidence that the mean of the population of all possible trash bag breaking strengths is at least 50 pounds
HELP MEEE
What is the probability of spinning a blue on
the above spinner and flipping heads?
Change into decimal: 35%
Answer:
[tex]0.35[/tex]
Step-by-step explanation:
Convert the percentage to a fraction by placing the expression over 100 Percentage means 'out of 100 '.
[tex]\frac{35}{100}[/tex]
Cancel the common factor of 35 and 100 .
[tex]\frac{7}{20}[/tex]
Convert the fraction to a decimal by dividing the numerator by the denominator.
[tex]0.35[/tex]
Answer:
0.35
Step-by-step explanation:
ywhdhxjahsjxhdjwjwjwjw is .35
BRAINLIEST AND 50 POINTS!
If y varies inversely with x, and y=3 when x=16, find y when x=4
Answer:
When x =4 y=12
Step-by-step explanation:
Inverse variation is
xy = k where k is a constant
y =3 and x = 16
3*16 = k
48 = k
The equation is
xy = 48
Now let x = 4
4y = 48
Divide each side by 4
4y/4 = 48/4
y = 12
When x =4 y=12