Using a discrete probability distribution, it is found that there is a 0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.
What is the discrete probability distribution?Researching the problem on the internet, it is found that the distribution for the number of customers in line at the store is given by:
P(X = 0) = 0.2;P(X = 1) = 0.15;P(X = 2) = 0.30;P(X = 3) = 0.20;P(X = 4) = 0.10;P(X = 5) = 0.05;Hence, since each customer takes 3 minutes to check out, the probability that it will take more than 9 minutes for all the customers currently in line to check out is the probability that there are more than 3 customers, hence:
P(X > 3) = P(X = 4) + P(X = 5) = 0.10 + 0.05 = 0.15.
0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.
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Picture blow………………….
ANSWER:
e. 4 and 2
f. 1 and 3
g. 5 and 6
h. 7 and 8
Ok done. Thank to me >:3
Describe the graph of the function. y = |x – 4| – 7
The graph is an absolute value function with vertex (4, –7).
The graph is an absolute value function with vertex (7, –4).
The graph is an absolute value function with vertex (–4, –7).
The graph is an absolute value function with vertex (–4, 7).
Answer:
The graph is an absolute value function with vertex (4, –7)
Step-by-step explanation:
|x-4| is always positive
minimal value of |x-4| = 0
x-4 = 0 x=4
y = |4-4| - 7 = -7
if A(x) = -x^2 + 4, B(x) = -3x - 4, and C(x) = 5x^2 + 2x, form a simplified expression for A(x) + B(x) + C(x).
Answer:
5x² - x - 4
Step-by-step explanation:
B(x) + C(x)
= - 3x - 4 + 5x² + 2x ← collect like terms
= 5x² - x - 4
The yearbook club had a meeting. The meeting had 8 people, which is one-fourth of the club. How many people are in the club?
Answer:
32
Step-by-step explanation:
Since we know 8 = 1/4
We can convert the 1/4 into a percentage:
8 = 25%
To get to 100% which is the full club we have to multiply both sides by 4:
8×4 = 25% ×4
32 = 100%
So there are 32 people in the club.
SOMEONE HELP PLEASE! I HATE ANGLES
Answer:
a = 51°
b = 67°
Step-by-step explanation:
Angle a is equal to 51 since it is vertically opposite to the angle on top of it.
Angles in a triangle add up to 180 so Angles a,b and 62 should add up to 180:
a+b+62=180
51+b+62=180
b= 180-(51+62)
b= 180-113
b= 67
a 2. At what price should a shopkeeper sell a cupboard to make a profit of 10% while the cost price is Rs. 3950?
Step-by-step explanation:
10/100×3950
=395
3950+395
=4345
l i k e i s a i d 8th grade math
Answer:
A.
Step-by-step explanation:
In a direct proporton, the ratio of one quantity to teh other is a constant.
Let's divide each number of crystals by each number of pounds:
7/14 = 1/2
14/28 = 1/2
21/42 = 1/2
28/56 = 1/2
The ratio of crystals to pounds is always 1:2.
This is a proportional relation.
Answer: A.
A window needs a piece of glass of 3m by 2m to fit into its frame. What is the total area of glass needed for 25 windows?
A windowpane is 12 inches by 5 inches. What is the distance between opposite corners
of the windowpane? ( it’s the pythagorean theorem )
what is 3x-1/5=10 equal
Answer:
x = 17
Step-by-step explanation:
3x - 1 / 5 = 10
3x - 1 = 5 * 10
3x = 50 + 1
x = 51/ 3
x = 17
PLEASE FIND WHAT EACH SQUARE IS WORTH AND THE TRAPEZOID AREA! WILL AWARD BRAINLIEST
Answer:
10.5 units squared
Step-by-step explanation:
just count the squares up or use the formula (a+b)/2 * h .
Not sure what "each square is worth means" sorry, if you clarify I can answer
one square is 2 cm swuared.
trapezoid area = 1/2h(b1+b2)
area = 1/2(6)(10+4)
area = 3*14
area =42
The following figure shows AABC with side lengths to the nearest tenth.
C
48
6
71
A
B
Find AB in AABC.
Round to the nearest tenth.
Answer:
AB = 4.7 to the nearest tenth
Step-by-step explanation:
Usine the Sine Rule:
6/sin71 = AB/sin48
AB = (6 * sin48)/ sin71
= 4.716
A group of 30 people are going to run a race. The top three runners earn gold silver, and bronze medals .
If John is driving 55 miles per hour down
195, how many feet per minute is he
traveling?
The feet per minute that John is travelling down 195 is 4840 feet per minute.
How many feet per minute is he traveling?Average speed is the total distance travelled per time. It is determined by dividing total distance travelled by total time.
In order to convert 55 miles per hour to feet per minute, we have to know the unit of conversion :
1 mile = 5280 feet
1 hour = 60 minutes
55 x (5280 / 60) = 4840 feet per minute
To learn more about average speed, please check: https://brainly.com/question/21734785
(8c-9b)(x-5a)+(3x+3c)(6a-2b)
Answer:
8cx - 22ac - 15bx + 45ab +18ax - 6bc.
Step-by-step explanation:
(8c-9b)(x-5a)+(3x+3c)(6a-2b)
= 8c (x-5a) -9b(x-5a) + 3x(6a-2b) + 3c(6a-2b)
= 8cx - 40ac -9bx + 45ab + 18ax - 6bx + 18ac - 6bc
Combining like terms:
= 8cx - 22ac - 15bx + 45ab +18ax - 6bc.
Answer:
8cx + 45ab + 18ax - 2bc - 15bx - 22ac
Step-by-step explanation:
(8c - 9b)(x - 5a) + (3x + 3c)(6a - 2b)8cx - 9bx - 40ac + 45ab + 18ax + 18ac - 6bx - 2bc8cx + 45ab + 18ax - 2bc - 15bx - 22acA circle is drawn inside a square.
a
20 cm
The square has a height of 20 cm.
Work out the shaded area.
Give your answer in terms of t.
Shaded area = 21.46
Step-by-step explanation:
First find area of square,
Area = length × width
A = 20 × 20
A = 400 cm^2
Secondly, find area of circle
Area of circle = (π)r^2
A = (π)10^2
A = 100 π
Thirdly, find the area outside of the circle
Area of square - Area of circle
400cm^2 - 100π
= 85.84
lastly divide the answer by 4 to find the shaded area
85.84 ÷ 4
= 21.46
use a distribute propety for the equiotion 25- (3x+5 ) =2(x +8)+x
Answer:
x=2/3
Step-by-step explanation:
25-(3x+5)=2(x+8)+x
25-3x-5=2x+16+x
20-3x=3x+16
20-3x-3x=16
20-6x=16
6x=20-16
6x=4x=4/6
simplify
x=2/3
Answer:
x=2/3
Step-by-step explanation:
Find the mean of the data set without the outlier.
Then, find the mean of the data set with the outlier.
Answer:
The median is 8.1
Step-by-step explanation:
You add up all the numbers and divide it by how much numbers there are.
1) Add. 1 + 7+ 16 + 18 + 40 = 81
2) Count. There are 10 numbers.
3) Divide 81/10
4) 8.1
The median is 8.1
what is the equation in standard form of the line that passes through the point (6, -1) and is parallel to the line represented by 8x + 3y =15?
The equation in standard form of the line is given by:
[tex]\frac{8}{3}x + y = 15[/tex]
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the line is parallel to 8x + 3y =15, hence the slope is given by:
[tex]m = -\frac{8}{3}[/tex]
It passes through the point (6, -1), hence:
y = mx + b
[tex]-1 = -\frac{8}{3} \times 6 + b[/tex]
b = 15
Hence:
[tex]y = -\frac{8}{3}x + 15[/tex]
In standard form:
[tex]\frac{8}{3}x + y = 15[/tex]
More can be learned about linear equations at https://brainly.com/question/24808124
Pls I need it for a testI’ll give out 20 points
Answer:
It should be D.
Step-by-step explanation:
IF YOU HELP ME NOW ILL GIVE BRAINLIST!
Answer:
A. <
B. =
C. >
D. <
Step-by-step explanation:
Answer:
a. 3.07 < 3.7
b. 12.3 = 12.30
c.0.7 > 0.65
d. 1.82 < 1.89
Step-by-step explanation:
a. By looking at the tenths place, you can see that 3.07 is less than 3.7.
b. By looking at the hundredths place, you can see that 12.3 is equal to 12.30.
c. By looking at the tenths place, you can see that 0.7 is greater than 0.65.
d. By looking at the hundredths place, you can see that 1.82 is less than 1.89.
pls help me to answer this
Answers:
Part 1
16. Nominal
17. Nominal
18. Nominal
19. Nominal
20. Nominal
21. Continuous
22. Continuous
23. Continuous
24. Continuous
25. Continuous
Part 2
26. Discrete
27. Continuous
28. Discrete
29. Discrete
30. Ordinal
31. Ordinal
32. Nominal
33. Ordinal
34. Ordinal
35. Nominal
=========================================================
Explanation:
A nominal variable is one where usually a name is attached to it, instead of a number. Something like "mood" is nominal because it takes on the options of "happy", "sad", "angry", etc which are all non-numeric names. We can't do math on them. The same goes for colors, blood type, dog breed, nationality, and month names.
An ordinal variable is one where we can rank the names but we can't exactly do math on them. An example of this would be pain severity (from "no pain" to "in extreme pain") since we can rank and order the pain levels in a natural order. Another example is satisfcation rating, rank in class, and clothing sizes.
A discrete variable is one that takes on finitely many values between two endpoints. Usually (but not always) discrete values are whole numbers. When it comes to counting the number of people or objects, we turn to a discrete variable. With discrete variables, it doesn't make sense to have a midpoint between say 1 and 2 because we cannot have 1.5 of a person.
A continouous variable is one where we can pick any real number in a given interval. Midpoints make sense here now because we can select the midpoint of say 1 and 2 to get 1.5; an example of a continuous variable is someone's height, wind speed, water temperature, or the voltage of electricity.
The cake that Larry is baking requires 1 cup of sugar. Larry is adding sugar to a bowl using a measuring scoop. In the first scoop, he adds 7/8 cup of sugar. In the second scoop, he adds another 7/8 cup of sugar. Has Larry measured the sugar correctly?
A line passes through the point (-6, 9) and has a slope of 4/3. Write an equation in slope-intercept form for this line.
Answer:
y = 4/3x + 17 .
Step-by-step explanation:
Use the point-slope form of a line:
y - y1 = m(x - x1)
y - 9 = 4/3(x - -6)
y - 9 = 4/3x + 8
y = 4/3x + 17 <--------- Slope-intercept form.
Find the number that makes the ratio equivalent to 36:81.
4:
Answer:
9
Step-by-step explanation:
9*4 = 36
9*9 = 81
divide both by 9 and you get 4:9
Expand & simplify
5
(
p
+
5
)
+
6
(
p
+
6
)
5(p+5) + 6(p+6)
First step: Distribute (PEMDAS --> Parenthesis)
5p + 25 + 6p + 36 Now, combine like terms
11p + 61
Thus, the answer is 11p + 61
[tex]5(p+5)+6(p+6)\\\\=5p+25+6p+36\\\\=11p+61[/tex]
I’m just trying to check my math, I got 159
Wellington city engineers are designing two parallel roads by the International Polo Club to help with traffic flow during tournaments.
Answer:
159°
Step-by-step explanation:
Angle 21° and <4 are supplementary angles!
21 + x = 180
x = 159°
Hope this helps!
The measure of angle ∠4 is 159.
What are corresponding angles?The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.
Corresponding angles are always equal.
We can also have alternate angles which are always equal.
We can also have alternate interior and exterior angles which are equal.
The angles on the same side make upto 180 degrees
We have,
From the figure,
The angle opposite to 21° and ∠4 sum is 180.
This means,
Angles on the same side.
Now,
Opposite angles are equal.
So,
21 + ∠4 = 180
∠4 = 180 - 21
∠4 = 159
Thus,
The measure of angle ∠4 is 159.
Learn more about corresponding angles here:
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The sale price of a red pillowcase is $3.87 on sale for 25% whats the original price
Answer:
the original price should be 3.70 beacause ur basically subtracting That's all
simply the difference of 8w^2 -8w - 6) -(3w^2 +7w - 4)
Answer:
can you post the question I don't understand
I need help pls guys
Answer:
11
Step-by-step explanation:
11 is ur answer to the question.
I hope it helped yoy
