Answer:
0.8716 = 87.16% probability that in a sample of 7 customers, fewer that 5 will order a nonalcoholic beverage.
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they order a nonalcoholic beverage, or they order an alcoholic beverage. The probability of a customer ordering a nonalcoholic beverage is independent of any other customer, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
At a Noodle & Company restaurant, the probability that a customer will order a nonalcoholic beverage is 0.43.
This means that [tex]p = 0.43[/tex]
Find the probability that in a sample of 7 customers, fewer that 5 will order a nonalcoholic beverage.
This is:
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.43)^{0}.(0.57)^{7} = 0.0195[/tex]
[tex]P(X = 1) = C_{7,1}.(0.43)^{1}.(0.57)^{6} = 0.1032[/tex]
[tex]P(X = 2) = C_{7,2}.(0.43)^{2}.(0.57)^{5} = 0.2336[/tex]
[tex]P(X = 3) = C_{7,3}.(0.43)^{3}.(0.57)^{4} = 0.2937[/tex]
[tex]P(X = 4) = C_{7,4}.(0.43)^{4}.(0.57)^{3} = 0.2216[/tex]
Then
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0195 + 0.1032 + 0.2336 + 0.2937 + 0.2216 = 0.8716[/tex]
0.8716 = 87.16% probability that in a sample of 7 customers, fewer that 5 will order a nonalcoholic beverage.
The Right Answer Only You will get Reported if its wrong!!!!!
instruction find the measure of the indicated angle to the nearest degree
Answer:
46
Step-by-step explanation:
I found the angle by taking the opposite side of the angle, 38, and dividing it by the hypotenuse, 53.
Then I used the inverse sine function on 38/53 to get the angle 45.81, which I rounded to 46.
Please Help.
A square prism and a cylinder have the same height. The area of the cross-section of the square prism is 314 square units, and the area of the cross-section of the cylinder is 50π square units. Based on this information, which argument can be made?
A. The volume of the square prism is one third the volume of the cylinder.
B. The volume of the square prism is half the volume of the cylinder.
C. The volume of the square prism is equal to the volume of the cylinder.
D. The volume of the square prism is twice the volume of the cylinder.
As we know, The volume of the square prism is twice the volume of the cylinder
To determine the relationship between the volume of the square prism and that of the cylinder, we need to find both volumes.
The volume of the square prism is V = Ah where A is the cross-sectional area and h its height. Since A = 314 square units,
V = 314 × h = 314h
Also, the volume of the cylinder is V = A'h where A' is the cross-sectional area of the cylinder and h' its height. Since the A' = 50π square units,
V' = 50π × h' = 50πh'
The ratio of the volume of the square prism to that of the cylindrical prism is V/V' = 314h/50πh'
Since the height of the square prism equals that of the cylinder, h = h'.
So, V/V' = 314h/50πh .
V/V' = 314/50π
if we take π = 3.14,
V/V' = 314/(50 × 3.14)
V/V' = 100/50
V/V' = 2
So, V = 2V'
Thus, the volume of the square prism is twice the volume of the cylinder.
So, the answer is D.
Learn more about square prisms and cylinders here:
https://brainly.com/question/23245822
Answer:
D. The volume of the square prism is twice the volume of the cylinder.
Step-by-step explanation:
took the test, got it right, comment below if you would like a step by step explanation
Can somebody help me with this question
Answer:
900°
Step-by-step explanation:
The interior angles sum = 180° ( n - 2 )
~~~~~~~~
n = 7
180° ( 7 - 2 ) = 900°
Answer:
900 degrees
Step-by-step explanation:
just apply the formulas discussed in class !
The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.
The number of triangles in each polygon is two less than the number of sides.
The formula for calculating the sum of interior angles is:
(n−2)×180∘ (where n is the number of sides)
in our case we have 7 sides.
so, we could split this polygon into 5 triangles.
each of these triangles would have an angle sum of 180°.
so, the angle sum of the polygon is
5×180 = 900°
Solve the equation :
-3 • ( 2 - x ) + 4 = 2 • ( 1 - 2x) + 3
thanks :)
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 1
-6+3x+4=2-4x+3
-8+7x+1=0
7x=7
x=1
Answer:
x=1
Step-by-step explanation:
SEE IMAGE for Solution
If the amount of waking time 4 year old children spend with their fathers each day is 42 minutes while the daily waking time spent in daycare is 6 hours, what is the ratio of time with father to time in daycare?
Answer:
7/60
Step-by-step explanation:
Because the question is phrased such that it asks "the ratio of time with father to....", we know to put the time with father on top, or first. Similarly, since it is asked to put the ratio of time with the father to the time in daycare, we can put the daycare amount second/on the bottom. Therefore, we can write the ratio as
(42 minutes)/(6 hours)
To make both of these in terms of minutes to simplify it, we know that 60 minutes = 1 hour, so 1 hour / 60 minutes =1 . Since multiplying something by 1 keeps it the same, we can multiply our ratio by this amount. We want to multiply with the hour on top so the hours cancel out, as so:
[tex]\frac{42 minutes}{6 hours} * \frac{1 hour}{60 minutes} = \frac{42 minutes * hours}{360 minutes * hours} = \frac{42}{360}[/tex]
To simplify this even further, we can note that 6 is a factor of both 42 and 360*, so we can multiply this fraction by (1/6) / (1/6) to get
(42/360) * (1/6)/(1/6) = 7/60 as our final answer
If this doesn't come up immediately, you can always find the greatest common factor by listing the factors of each number and finding the highest one that fits both, e.g.
for 42: 42, 21, 14, 7 , 6...
for 360: 360,180, ... 6,5....
I need help with this asap pls!!
Answer:
Answer is b
Step-by-step explanation:
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A painter made the table below to show the amount of paint it takes to cover a certain amount of square feet. The amount of paint varies directly with the area of each wall.
Amount of Paint and Size of Wall
Area of wall feet squared, x
64
144
400
Amount of paint (pints), y
4
9
25
How much paint should the painter expect to use to paint a wall with an area of 256 square feet?
16 pints
32 pints
128 pints
225 pints
Answer:
16 pints
Step-by-step explanation:
it seems like there's a pattern. when you divide x by 16, you get the result of y.
64/16 = 4
144/16 = 9
400/16 = 25
so to find the answer would be x/16 = y.
sqrt ft is x, pints is y.
we're looking for how many pints of pain we should use for 256 sqrt ft. we use that same equation, but replace x with 256, and solve for y.
256/16 = 16
therefore, your answer is 16 pints.
please subscribe to #Gauthmath# subreddit if ya can ^^
Answer:
16 pints
Step-by-step explanation:
I did it on edge.
Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5.
Answer:
y = -1/3x
Step-by-step explanation:
I just need the number can anyone give me them please ???
Answer:
here are the points (0,-6), (-2,1), (2,2), (6,3)
Step-by-step explanation:
you just use the rise over run rule, which means that the top number is the rise and the bottom number is the run. In this case the rise is 1 and the run is 4. So, you would move up one space then move 4 spaces to the right, but because the graph is cut off you can reverse it and it would be the same thing, it would just be in a different area of the graph. So you go, down 1 and left 4 instead. hope this helps :)
Which choices are equivalent to the expression below? 3sqrt5 + 8sqrt5
A. 24 start 5
B. 24 sqrt 10
C. 11 sqrt 10
D. 11 sqrt 5
Answer:
B. 24 sqrt 10
Step-by-step explanation:
Hope this helped.
Answer:
11√5
Step-by-step explanation:
just putting the question with the symbols here so its easier to find for others
Which choice is equivalent to the expression below? 3√5+8√5
A. 24√5
B. 24√10
C. 11√10
D. 11√5
PLS HELP WILL GIVE BRAINLY!!
What is the weight (in grams) of a liquid that exactly fills a 182.8 milliliter container if the density of the liquid is 0.135grams over milliliter? Round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point
Answer:
Step-by-step explanation:
1 milli liter = 0.135 grams
182.8 ml = 0.135 * 182.8 = 24.678 grams
Answer:
24.678
Step-by-step explanation:
Hope this helps :)
A sample of 50 observations is taken from an infinite population. The sampling distribution of : a.is approximately normal because of the central limit theorem. b.cannot be determined. c.is approximately normal because is always approximately normally distributed. d.is approximately normal because the sample size is small in comparison to the population size.
Answer:
a.is approximately normal because of the central limit theorem.
Step-by-step explanation:
The central limit theorem states that if we have a population with mean μ and standard deviation σ and we take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
For any distribution if the number of samples n ≥ 30, the sample distribution will be approximately normal.
Since in our question, the sample of observations is 50, n = 50.
Since 50 > 30, then our sample distribution will be approximately normal because of the central limit theorem.
So, a is the answer.
4cosx - 2cos2x - cos4x=1
Answer:
x = 360°
Answered by GAUTHMATH
name least to greatest
3780
3.78
0.378
378
0.0378
Answer:
0.0378
0.378
3.78
378
3780
Answer: 0.0378, 0.378, 3.78, 378, 3780
Step-by-step explanation:
Is 392 a perfect cube? If not, find the smallest natural number by which
392 must be multiplied so that the product will be a perfect cube.
Answer:
No
7
Step-by-step explanation:
We can start by factoring 392 to see whether it is a cube. 392 is obviously divisible by 2 because the last digit is even, and dividing by two we get:
392 = 2 x 196
Again, 196 is divisible by 2, so we get:
392 = 2 x 2 x 98
And 98 is also divisible by 2:
392 = 2 x 2 x 2 x 49
49 is 7 times 7, so we can finish the prime factorization of 392:
392 = 2 x 2 x 2 x 7 x 7
This is the same as:
392 = 2^3 x 7^2
We can see 392 is not a cube because both numbers are not raised to a power divisible by 3.
In order to turn it into a cube, we'd need to make both prime factors raised to the power of a multiple of 3. 2 is already raised to one, but 7 is raised to the power of 2. In order to make that two divisible by 3, we can multiply by 7 so that our number is 2^3 x 7^3(2744), and this would be a cube(It's 14 cubed).
Evaluate the expression when x=-6.
x² + 5x-2
Answer:
Step-by-step explanation:
Hello!
x² + 5x-2
6² + 5*6 -2 =
36 +30 -2 =
66 -2=
64
Two consecutive even whole numbers have a product of 360. What is the smaller of the
two numbers
Solve the system using multiplication for the linear combination method.
6x – 3y = 3
-2x + 6y = 14
What is the solution to the system?
Answer:
(2, 3)
Step-by-step explanation:
{(3,1),(-2,-1),(-3,2)}
Domain:
Range:
Answer:
Domain { -3,-2,3}
Range{ -1,1,2}
Step-by-step explanation:
The domain is the input
Domain { -3,-2,3}
The range is the output
Range{ -1,1,2}
What is the intersecting point of these two lines?
1. y = 3/4x + 6
2. y = x + 1
Câu 1 : Trong các phương trình sau phương trình nào là phương trình bậc nhất một ẩn ;
A/ x-1=x+2 B/(x-1)(x-2)=0 C/ax+b=0 D/ 2x+1=3x+5
Câu 2 : x=-2 là nghiệm của phương trình nào ?
A/3x-1=x-5 B/ 2x-1=x+3 C/x-3=x-2 D/ 3x+5 =-x- 2
Câu 3 : x=4 là nghiệm của phương trình
A/3x-1=x-5 B/ 2x-1=x+3 C/x-3=x-2 D/ 3x+5 =-x- 2
Câu 4 : Phương trình x+9=9+x có tập nghiệm là :
A/ S=R B/S={9} C/ S= D/ S= {R}
Câu 5 : Cho hai phương trình : x(x-1) (I) và 3x-3=0(II)
A/ (I)tương đương (II) B/ (I) là hệ quả của phương trình (II)
C/ (II) là hệ quả của phương trình (I) D/ Cả ba đều sai
Câu 6: Phương trình : x2 =-4 có nghiệm là :
A/ Một nghiệm x=2 B/ Một nghiệm x=-2
C/ Có hai nghiệm : x=-2; x=2 D/ Vô nghiệm
Answer:
Can you please answer the question in English so I can understand the English psyche can answer your question please ask this question in English actually I'm Indian so I know only 3 languages steps
which equations have a leading coefficient of 3 and a constant term of -2?
Answer: the answer to this is 3x-2
Step-by-step explanation:
s the function represented by the table non-linear?
x
y
6
4
7
2
8
0
9
–2
given a geomatric progression 2,6,18,54... find the smallest value of n such that the nth term is greater than 100000
Answer:
hello,
Step-by-step explanation:
[tex]u_1=2=2*3^0\\u_2=6=2*3^1\\u_3=18=2*3^2\\u_4=54=2*3^3\\\\....\\u_n=2*3^{n-1}\geq 100000\\\\3^{n-1}\geq 50000\\\\(n-1)*ln(3)\geq ln(50000)\\\\n-1\geq 9,848586...\\\\n\geq 10.848586....\\\\\boxed{n=11}\\[/tex]
Comparing Distance
Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference?
A 5-column table with 3 rows. Column 1 is labeled a with entries 1, 4, negative 6. Column 2 is labeled b with entries 2, negative 1, negative 3. Column 3 is labeled a + b with entries 3, 3, negative 9. Column 4 is labeled a minus b with entries negative 1, 5, negative 3. Column 5 is labeled Distance with entries 1 unit, 5 units, 3 units.
Which describes the relationship between the distance and the difference?
The distance is always the opposite of the difference.
The distance is exactly the difference.
The distance is the absolute value of the difference.
The distance is not related to difference.
NEED HELP FOR EDGUNITY
Answer:
C. The distance is the absolute value of the difference.Step-by-step explanation:
See the table made based on the given values.
It is easy to note that the numbers in the distance column are same as numbers in the a - b column but all numbers being positive.
So we can say that:
distance = |a - b|Correct choice is C
Help fast pleaseeeeeeee
Answer:
Multiply 800 by 1.022^7 because 1.022^(n-1)
Step-by-step explanation:
Series and sequences.
Find the center and radius of the circle and sketch its graph
X^2+y^2=9
Answer:
Centre (0,0)
Radius √9 = 3
I've attached a graph if the circle with it
Answered by GAUTHMATH
P(x) = x^4 – 2x^3 – 3x^2 + 4
What is the remainder when P(x) is divided by (x – 3)?
Answer:
4
Step-by-step explanation:
:)
Find the area of the triangle.
Answer:
B
Step-by-step explanation:
area=1/2×32×6.1=16×6.1=97.6 yd²
Answer:
Choice B. 97.6 yd^2
Step-by-step explanation:
B×W×.5= A
2. Find F(x)+g(x)
4 options to pick from
Answer:
first option
3x³ - 6x - 4
HOPE IT HELPS YOU
THANK YOU
