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.
Contagious diseases can spread quickly. Suppose 3 people are ill during the first week of an epidemic, and each
person who is ill spreads the disease to five people by the end of the next week. By the end of the 8th week of
the epidemic, how many people have become ill?
OA) 292,968 people
OB) 392,978 people
Answer:
392,978 people is correct
Step-by-step explanation: i am a college math teiacher i work at steve harvard
Please help……………………….
Let’s start with the easy part: half of the base is 3.
Therefore, 3 x h + 1 = 18
3 x h = 3h and 3 x 1 = 3
3h + 3 = 18
To solve these equations, you have to do the inverse. First you would need to minus 3:
3h = 15
3h is a simpler way of saying 3 x h, so the inverse would be a divide.
h = 5
3x3x8x8x8x8 in EXPONENTIAL FORM!
x = multiplication sign, not variable!
Answer:
192^2
Step-by-step explanation:
[tex]\sqrt{3*3*8*8*8*8} = \sqrt {36864} = 192^2[/tex]
Hope you enjoy :)
Tanya has a garden with a trench around it. The garden is a rectangle with a length of 2 1/2 m and width 2 m The trench and garden together make a rectangle with length 3 1/2 and width 3m
Find the area of just the trench.
Answer:
Area of the rectangular trench = 1 square meter
Step-by-step explanation:
length of the garden = 2 1/2 m width of the garden = 2 m
length of both garden and trench = 3 1/2 m
width of both garden and trench = 3m
Length of the trench = Difference in length
= 3 1/2 m - 2 1/2 m
= 7/2 - 5/2
= (7 - 5) / 2
= 2/2
= 1 m
Length of the trench = 1 m
Width of the trench = difference in width
= 3 m - 2 m
= 1 m
Width of the trench = 1 m
Area of the rectangular trench = length × width
= 1 m × 1 m
= 1 m²
Or
1 square meter
Area of the rectangular trench = 1 square meter
Simplify The Equation
Answer:
5
Step-by-step explanation:
5 ^ 1/3 * 25 ^ 1/3
Rewriting 25 and 5^2
5 ^ 1/3 * 5^2 ^ 1/3
We know that a^b^c = a^ (b*c)
5 ^ 1/3 * 5^ 2/3
We know a^b * a^c = a^(b+c)
5^ ( 1/3 + 2/3)
5^1
5
similar right triangles, i need help with this please
Answer:
Step-by-step explanation:
the answer is a)
please help!! 10 points! Need 2 and 5 answered!
Answer:
2. given
5. substitution
Step-by-step explanation:
that the perimeter is 12 is simply a given fact. in the same way as the shape of the object is defined as square.
nothing was calculated, this information is simply there at the beginning, is "given" to us.
step 5 simply takes step 3 and substitutes all sides by the same side, as (per definition) all sides in a square are equal. so, every side can stand in for every other side.
Use the graph below for this question:
what is the average rate of change from x = 0 to x = 2?
a) 3
b) -1
c) 2
d) -2
The average rate of change is the same as the slope. Even though this graph is a parabola, we still use the slope formula with the corresponding points. Had the question asked for the instantaneous rate of change, we would have needed to find a derivative.
Slope formula: (y2 - y1) / (x2 - x1)
Point 1: (0,4)
Point 2: (2,8)
(8 - 4) / (2 - 0)
4 / 2
2
The average rate of change from x = 0 to x = 2 is 2.
Hope this helps!
At the end of a game, Fran had 14 points and Calvin had -22 points. How many points did Fran win? A: -36 B: 8 C: -8 D: 36
Answer:
36
Step-by-step explanation:
Number of points Fran won = points Fran had - points Calvin had
14 - (-22)
= 14 + 22
= 36
8y-(-9.3z+9) how do i do this
find the midpoint between this pair of points (-4,10) and (14,0)
Explanation:
The x coordinates are -4 and 14. They add up to -4+14 = 10. Then this cuts in half to get 10/2 = 5. This is the x coordinate of the midpoint.
We'll follow this same idea for the y coordinates as well.
10+0 = 10 which cuts in half to 10/2 = 5, and this is the y coordinate of the midpoint.
Therefore, the midpoint is (5,5).
Coincidentally, the x and y coordinates are the same for the midpoint (both are 5). This won't always happen.
One way to test for one to one functions is to...
Group of answer choices :
restrict the function's domain.
put the equation into the quadratic formula.
perform a horizontal line test.
perform a vertical line test.
Answer:
Perform a horizontal line test
cos(30 +x) =5/3 find x
Answer:
no solution
Step-by-step explanation:
Answer:
Step-by-step explanation:
I get no solution also (the answer is imaginary).
Using your knowledge of common Pythagorean triples , find the hypotenuse in a triangle with shorter side lengths 25 units and 60
units.
The triple is a multiple of a common primitive Pythagorean triple. Which one?
A. (5,12,13)
B. (8,15,17)
C. (3,4,5)
D. (7,24,25)
Answer: A
Step-by-step explanation:
please help I will give 10 points
Answer:
x = 13.75
Step-by-step explanation:
a right-angled triangle.
so, we use Pythagoras
c² = a² + b²
where c is the Hypotenuse (the side opposite of the 90 degree angle).
so, in our case
17² = 10² + x²
289 = 100 + x²
189 = x²
x = 13.75
what is the value of g(2)?
Answer:
g(2)=1
Step-by-step explanation:
We need to use the second definition of the function since x=2
g(2) = 2^3 -9(2)^2 +27(2) -25
= 8-9(4) +54 -25
= 8-36+54-25
= 1
Find the circumference
please help :)
Answer:
Step-by-step explanation:
circumference = [tex]\pi[/tex]* diameter
circ = 3 * 32
circ = 96
HELP
Line CD passes through points C(3, -5) and D(6,0). What is the equation of line CD in standard form?
60
O 5x + 3y = 18
O 5x - 3y = 30
O 5x - y = 30
O 5x + y = 18
Answer:
Hello the answer is 5x - y = 30!
Step-by-step explanation:
m = (0 (-5))/(6 - 3) = (0 + 5)/(3) = 5/3
y = mx + b
O = (5/3)(6) + b
O = (30/3) + b
O = 10 + b
-10 = b
3y = 5x - 30
3y + 30 = 5x
5x - 3y = 30
Find the least number when divided by 75,125 and 225 Leaves a remainder 6 in each case.
Answer:
676,131
Step-by-step explanation:
L.C.M of 75,125 and 225,
=>676,125
Leaves a remainder 6 means,
=>676,125 + 6
=>676,131
That means,
When you divide 676,131 by 75,125 or 225,
You get remainder 6 .
That is why we add 6 to the L.C.M
NEED THIS ASAP HELPPP
Answer:
Step-by-step explanation:
The answer is D 28 degrees
What is the slope of the line that contains these points? x- 31, 36,41,46 y- 10,8,6,4
[tex] - \frac{2}{5} [/tex]
SOMEONEEEEE PLEASEEEEEE HELPPPPP MEEEEEEEEE ASAPPPP!!
Answer:
8/15
Step-by-step explanation:
Since this is a right triangle
tan C = opp side / adjacent side
tan C = 8/15
Find the value of x. Round the length to the nearest tenth.
Answer:
5.1
Step-by-step explanation:
[tex]tan \ 25 = \frac{opposite \ side}{adjacen \ side}\\\\tan \ 25 =\frac{x}{11}\\\\0.4663 =\frac{x}{11}[/tex]
0.4663 * 11 = x
x = 5.1293
x = 5.1
a triangle with 2 equal sides is called
Answer:
isosceles triangle.
Step-by-step explanation:
Answer:
Isosceles triangle
Step-by-step explanation:
In isosceles triangle, two sides are equal and the angles opposite to these equal angles are also equal. The third side of the triangle is called base
20
f(x)
g(x)
The tables given are for the linear functions f(x) and
g(x). What is the input value for which f(x) = g(x) is true?
x -2
-2
X=
3
4
-1
3
-1
3
0
3
0
2.
1
3
1
1
N
3
N
0
3
3
3
-1
Answer:
1 is the wrong answer i dont know the answer plz help him
justificantion for x=8/15
as according to law if a number is multiplied at one side then it will be divide to other side
so
x=8/15Step-by-step explanation:
plz mark me asbrain liest
SMART PPL PLEASE LOOK AT THIS I BEG YOU AND I WILL DO ANYTHING U WANT!!
Answer:
the real answer is
2X/19
Jack rides his bike 4 miles in 1/3 of an hour. What is jack unit rate in miles per hour?
Answer:
12 miles
Step-by-step explanation:
1/3 of an hour = 20 minutes = 4 miles
1 minute = 4/20 miles
60 minutes = 4/20 x 60 miles
= 4 x 3 miles
= 12 miles
60 minutes = 1 hour
=> 1 hour = 12 miles
Jacks unit rate is 12 miles/hr
Answer:
12
Step-by-step explanation:
There are two ways of doing this problem. I think the easiest way is to use a decimal in the denominator and round
4/0.333333333 = 12.000000001
The answer is obviously meant to be 12.
The other way is more sophisticated, but more accurate.
4/1 // 1/3 This is a 4 tier fraction. The rule is to invert the denominator (turn the bottom fraction upside down) and multiply.
4/1 * 3/1 = 12
The first method is easier to understand. The second is more accurate and more useful for physics.
You buy tomato sauce for $0.37 per ounce. One portion of potato gnocchi requires 3.5 ounces of tomato sauce. How much does the sauce for one portion cost? Round to the nearest cent.
Select one:
a. $1.30
b. $1.31
c. $1.28
d. $1.29
The cost of the tomato sauce for one potion given the cost per ounce is $1.30.
What is multiplication?Multiplication is the process of determining the production of more than one number. It is an example of a mathematical operation.
What is the cost of one portion of the sauce?In order to determine the answer, multiply the cost per ounce by the total ounces needed for one portion.
$0.37 x 3.5 = $1.30
To learn more about multiplication, please check: https://brainly.com/question/13814687
what is -1/4 as a decimal? help me!!
Answer:
- 0.25
Step-by-step explanation:
Sine -1/4 is a fraction, you can think of it as quarters in this case. there are 4 quarters in a dollar. 1/4 = 25/100.
