Answer:
76.8
Step-by-step explanation:
The manager of a music store has kept records of
The manager of a music store has kept records of the number of CDs bought in a single transaction by customers who make a purchase at the store. The accompanying table gives six possible outcomes and the estimated probability associated with each of these outcomes for the chance experiment that consists of observing the number of CDs purchased by a randomly selected customer at the store.
Number of CDs purchased 1 2 3 4 5 6 or more
Estimated probability 0.30 0.25 0.20 0.15 0.05 0.05
(a) What is the estimated probability that the next customer purchases three or fewer CDs?
(b) What is the estimated probability that the next customer purchases at most three CDs?
How does this compare to the probability computed in part (a)?
greater than part (a)less than part (a) the same as part (a)
(c) What is the estimated probability that the next customer purchases five or more CDs?
(d) What is the estimated probability that the next customer purchases one or two CDs?
(e) What is the estimated probability that the next customer purchases more than two CDs?
Answer:
(a) [tex]P(x\le 3) = 0.75[/tex]
(b) [tex]P(x\le 3) = 0.75[/tex]
(b) is the same as (a)
(c) [tex]P(x \ge 5) = 0.10[/tex]
(d) [tex]P(x = 1\ or\ 2) = 0.55[/tex]
(e) [tex]P(x > 2) = 0.45[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccccccc}{CDs} & {1} & {2} & {3} & {4} & {5} & {6\ or\ more}\ \\ {Prob} & {0.30} & {0.25} & {0.20} & {0.15} & {0.05} & {0.05}\ \ \end{array}[/tex]
Solving (a): Probability of 3 or fewer CDs
Here, we consider:
[tex]\begin{array}{cccc}{CDs} & {1} & {2} & {3} \ \\ {Prob} & {0.30} & {0.25} & {0.20} \ \ \end{array}[/tex]
This probability is calculated as:
[tex]P(x\le 3) = P(1) + P(2) + P(3)[/tex]
This gives:
[tex]P(x\le 3) = 0.30 + 0.25 + 0.20[/tex]
[tex]P(x\le 3) = 0.75[/tex]
Solving (b): Probability of at most 3 CDs
Here, we consider:
[tex]\begin{array}{cccc}{CDs} & {1} & {2} & {3} \ \\ {Prob} & {0.30} & {0.25} & {0.20} \ \ \end{array}[/tex]
This probability is calculated as:
[tex]P(x\le 3) = P(1) + P(2) + P(3)[/tex]
This gives:
[tex]P(x\le 3) = 0.30 + 0.25 + 0.20[/tex]
[tex]P(x\le 3) = 0.75[/tex]
(b) is the same as (a)
Solving (c): Probability of 5 or more CDs
Here, we consider:
[tex]\begin{array}{ccc}{CDs} & {5} & {6\ or\ more}\ \\ {Prob} & {0.05} & {0.05}\ \ \end{array}[/tex]
This probability is calculated as:
[tex]P(x \ge 5) = P(5) + P(6\ or\ more)[/tex]
This gives:
[tex]P(x\ge 5) = 0.05 + 0.05[/tex]
[tex]P(x \ge 5) = 0.10[/tex]
Solving (d): Probability of 1 or 2 CDs
Here, we consider:
[tex]\begin{array}{ccc}{CDs} & {1} & {2} \ \\ {Prob} & {0.30} & {0.25} \ \ \end{array}[/tex]
This probability is calculated as:
[tex]P(x = 1\ or\ 2) = P(1) + P(2)[/tex]
This gives:
[tex]P(x = 1\ or\ 2) = 0.30 + 0.25[/tex]
[tex]P(x = 1\ or\ 2) = 0.55[/tex]
Solving (e): Probability of more than 2 CDs
Here, we consider:
[tex]\begin{array}{ccccc}{CDs} & {3} & {4} & {5} & {6\ or\ more}\ \\ {Prob} & {0.20} & {0.15} & {0.05} & {0.05}\ \ \end{array}[/tex]
This probability is calculated as:
[tex]P(x > 2) = P(3) + P(4) + P(5) + P(6\ or\ more)[/tex]
This gives:
[tex]P(x > 2) = 0.20+ 0.15 + 0.05 + 0.05[/tex]
[tex]P(x > 2) = 0.45[/tex]
What is the volume of the triangular prism below?
7 yd
18 yd
12 yd
Step-by-step explanation:
V = 1/2 a x c x h
1/2 * 7*12*18 = 756 yd ^3
What is the area? Write your answer as a fraction or as a whole or mixed number. 1 m square meters
Answer:
The Area is all the space inside a given shape/object added together. The (assumed) Area of the problem you've given is 1 square m, since there is only 1 square m.
Step-by-step explanation:
which is more, 6 miles or 31,678 feet ?
Answer: 6miles
Step-by-step explanation: 6miles = 31680ft so 31680>31678
Evaluate 7y - 2
when y = 9
Answer:
The answer is 61.
Step-by-step explanation:
7(9)-2
63-2
61
Answer:61
7*(9)-2
63-2
61
Hope it's useful
Which is greater 1/4 or .25
Answer:
they are both the same equal
Step-by-step explanation:
can i get brainliest
Which expression has the same value as -4(5 - x)?
A. -4.5 + 4.x
B. -4.5 - 4.x
C. (-4 + 5).(-4 + ( - x))
D. (4 - 5)(-4 - x)
When a 15%, 38%, and 44% series of discounts are applied, the total markdown rounded to the nearest percent is
Answer: 97%
Step-by-step explanation:
15% + 38% + 44% = 97%
24 divided by 2 times 5 then square foot of it
Answer:
7.75
Step-by-step explanation:
sq rt of (24/2)(5) = sq rt of 60 = 7.75
Answer:
7.75 rounded
Step-by-step explanation:
24 / 2 = 12
12 * 5 = 60
7.7459
rounded its 7.75
Pls help I’ll brainlest ASAP
Answer:
-9
Step-by-step explanation:
-6 Divided By 2/3 = -9
2/3 multiplied by -9 = -6
Your answer will be z = -6/3 or -9
If its wrong I tried-
Which system has no solution? A b c d
Need help finding angle A,B,C,D!!
Justin says that the value of the expression is 450. How did he get that answer?
8+13+4×1/3(27÷1/2).
The length of a rectangular rug is 4 less than twice its width. The perimeter of the rug is 40 feet. What is the area of the rug?
1) 96 sq ft
2) 56 sq ft
3) 104 sq ft
4) 86 sq ft
Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.
Drag and drop the choices into the boxes to correctly complete the table.
Check the attachment below, it's self explanatory.
–9x + 9y = 9
y = –7
(
,
)
Answer:
x=-8
(-8,-7)
Step-by-step explanation:
–9x + 9y = 9
–9x + 9(-7) = 9 (y=-7)
-9x-63=9
Both side +63
-9x=63+9
-9x=72
Both side divide -9
x=-8
y=-7
(-8,-7)
Solve for x.
x² = 9
x=±3
x=±4.5
x=±18
x=±81
Roger is 71.5 inches tall. How many centimeters tall is she?
1 inch = 2.54 cm
Do not use a label - just numbers.
Answer:
181.61 centemeters
Step-by-step explanation:
Answer:
181.61
Step-by-step explanation:
Make a proportion:
1 inch = 2,54 cm
71,5 inches = x cm
x = 71,5 * 2,54 = 181,61 cm
Notes:
A Percent is the____
of a number to 100. Percents can be expressed _____
with a denominator of 100.
as
Answer:
1. RATIO
2. ONLY
I Hope This Helps You.
ASAP PLS HELP MARKING BRAINLIEST WITH POINTS PLSSSS
x + 2 2/1=10
HELPPPPPPP!!!!!!!!!!!!!!!!!
Answer:
x+4=10x=6 Give brainlistHelp please!!! Find x and Y
Answer:
x = 40
y = 15
Step-by-step explanation:
Given is an equilateral triangle.
Measure of each angle of an equilateral triangle is 60°.
Therefore,
(x + 20)° = 60°
x + 20 = 60
x = 60 - 20
x = 40
4y = 60
y = 60/4
y = 15
Suppose that 3\%3%3, percent of over 200{,}000200,000200, comma, 000 books borrowed from a library in a year are downloaded. The librarians plan to take an SRS of 757575 books from the population of borrowed books to see what proportion of books sampled are downloaded. What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books
Answer:
The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.
Step-by-step explanation:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
3% of books borrowed from a library in a year are downloaded.
This means that [tex]p = 0.03[/tex]
SRS of 75 books.
This means that [tex]n = 75[/tex]
What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books
By the Central Limit Theorem
Mean: [tex]\mu = p = 0.03[/tex]
Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.03*0.97}{75}} = 0.0197[/tex]
The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.
The side lengths of a triangle are (5x + 1), (6x - 10), and (6x + 2). Write an expression in simplest
form fok the perimeter of the triangle.
A. 17x - 7
В. 17x+13
C. 10x
D. 30x
Answer:
A
Step-by-step explanation:
so the perimeter is the sum of all the sides which would be
(5x+1)+(6x-10)+(6x+2)
= 5x+1+6x-10+6x+2
=17x-7
which is A
if my answer helps please mark as brainliest.
In which areas did Franklin Roosevelt’s programs increase the power and role of the federal government?
the economy of the U.S. and of other countries
government ownership of business and industry
the lives of citizens and religious organizations
the economy and the lives of citizens
Answer:(1) reduce border conflicts with Canada
(2) increase acceptance of minorities within the
United States
(3) encourage Germany and the Soviet Union to
resolve their differences
(4) improve relations with Latin America
Step-by-step explanation:
think its B good luck
Which part of a flower grows into the fruit?
the stigma
the anther
the ovule
the ovary
Answer:
ovary
Step-by-step explanation:
If a figure is dilated by a factor of 1.5, the area of the figure will change by a factor of
Answer:
The figure will change by a factor of 2.25.
Step-by-step explanation:
When the lengths (1-dimensional) change by a factor 1.5 (the definition of dilating a figure), the area (2-dimensional) will change by a factor 1.5 to the power of the quotient of the values of the dimensions, which is 2/1 = 2. So the area will change by a factor of 1.5^2 = 2.25.
Select the correct equation and correct answer to
solve for x using the triangle below.
Q
L
K
2x - 15
R
Р P.
2x - 8
Answer:
11
Step-by-step explanation:
LK = 1/2RP
theorem: straight line joining the midpoints of two sides of a triangle is parallel to the third side and equal to half the length of the third side.
LK = 2x - 15 ; RP = 2x - 8
2x - 15 = 1/2(2x - 8)
2x - 15 = 2x - 8/2
2x - 15 = x - 4
Collect like terms and simplify
x = 11
Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24.
ANSWER FAST PLEASE
Answer:
x=2
Step-by-step explanation:
your height is 5ft 2 in btw i will give brainliest
Answer:
about 6
Step-by-step explanation:
a shadow is long so it kind of depends on where the sun is but what the shadow is casting off of is no actually that tall