A company that manufactures video cameras produces a basic model and a deluxe model. Over the past year, 50% of the cameras sold have been of the basic model. Of those buying the basic model, 34% purchase an extended warranty, whereas 47% of all deluxe purchasers do so. If you learn that a randomly selected purchaser has an extended warranty, how likely is it that he or she has a basic model
Answer:
0.4198 = 41.98% probability that he or she has a basic model
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Extended warranty
Event B: Basic model
Probability of extended warranty:
34% of 50%(basic model)
47% of 100 - 50 = 50%(deluxe model). So
[tex]P(A) = 0.34*0.5 + 0.47*0.5 = 0.405[/tex]
Intersection of events A and B:
34% of 50%(basic model with extended warranty). So
[tex]P(A \cap B) = 0.34*0.5 = 0.17[/tex]
How likely is it that he or she has a basic model
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.17}{0.405} = 0.4198[/tex]
0.4198 = 41.98% probability that he or she has a basic model
There is a total of 56 tiles.
(b) Work out the number of grey tiles.
Decide which method of data collection you would use to collect data for the study. Specify either observational study, experiment, or simulation. A study where a political pollster wishes to determine if his candidate is leading in the polls for an upcoming election. Question options: simulation observational study experiment
Answer:
Observational study
Step-by-step explanation:
Observational studies usually requires the comparing the outcome or behavior of two or more subjects involved. In the scenario described above, the need to perform any experiment or simulation to make prediction. Once the polls is in progress, the outcome or result of the polls in polling centre's only need to be observed and noted.
Answer:
D
Step-by-step explanation:
Edge 2021
If B=p+ 6 and C = 3p – 2, find an expression that equals 3B - C in standard
form.
The expression that is equal to 3B - C in standard form is 2.0 × 10¹
Evaluating an expressionFrom the question, we are to determine the value of the expression
The given expression is
3B - C
From the given information,
B = p + 6
and
C = 3p - 2
Putting the the values of B and C into the expression, we get
3B - C = 3(p + 6) - (3p -2)
= 3p + 18 -3p + 2
= 3p - 3p + 18 + 2
= 20
= 2.0 × 10¹
Hence, the expression that is equal to 3B - C in standard form is 2.0 × 10¹
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How is your mental health?
Answer:
bad
Step-by-step explanation:
cause of school so yea my mental health
Answer:
It is bad at some points but on certain days it is okay.
Step-by-step explanation:
With school mainly, but I tend to manage. And I know that this isn't a school question but do you think you could give Brainliest.
Help help help help help
Answer: A= 2.5
B= 12.9
C= 12
D= 3 (the 3 is a whole number not added to the fraction.)
E= 4
You have a job that pays $20.00 for each day you show up, plus $11.00 per hour. Which expression shows the amount you make in one day if you work for (h) hours?
Answer:
Step-by-step explanation:
20.00+ 11.00=31.00
31x24=744
ps u did not put how manny hours so my answer cant be correct
what is 3(t+2v) ?? Please and thank you
Use the bar diagram to model the situation. Then write and solve an equation.
A family has bags of popcorn in their cabinet. Each bag of popcorn has kernels in it. How many kernels of popcorn are in the cabinet?
LOADING... Click the icon to view the bar diagram.
Let s be the number of kernels of popcorn in the cabinet.
The equation
nothing represents this situation.
(Use the operation symbols in the math palette as needed. Do not perform the calculation.)
Answer:
LOADING...................................
Step-by-step explanation:
-9 - 3x4 pls show work
Answer:
3
Step-by-step explanation:
3x4 is 12 and then you subtract them from each 9ther
the factory made a hundred packs of gum 40% of the packs contain to mint flavored gum how many packs of mint gum did the factory make
Answer:
I would say that this is 40 packs of mint flavored gum (sorry if this is wrong)
Step-by-step explanation:
Since there are 100 packs of gum, the 40% just turns into 40
In the parallelogram below, y=
Answer:
[tex] \\ \huge\boxed{\ddot\smile}[/tex]4. Write the equation of the line shown in the graph below. I
Answer:
y=2x-1
Step-by-step explanation:
Answer: y= -1 +2x
Step-by-step explanation:
you go with the minus one because thats where it intecepts y and you go with 2x because thats the slope it is going up 2 on y for every 1 on the x
Does anyone know this I don’t know what to put
Answer:
110
Step-by-step explanation:
3x+5+2x=180
Step 1: Simplify both sides of the equation.
3x+5+2x=180
(3x+2x)+(5)=180(Combine Like Terms)
5x+5=180
5x+5=180
Step 2: Subtract 5 from both sides.
5x+5−5=180−5
5x=175
Step 3: Divide both sides by 5.
x=35
35*3+5=110
Please help find the slope!
number 4 is the slope
plz help me really really fast this is my last question to work on
Answer:
$5
Step-by-step explanation:
25 = 4e + 5
20 = 4e
5 = e
reach eraser costs $5.
Lin lines the bottom of her first pan with aluminum foil. The area of the rectangular piece of foil is 11 1/4 square inches. Its length is 4 1/2 inches. What is the width of the foil?
Answer: the answer is 2.5
Step-by-step explanation:
Answer:
w= 5/2 inches or 2 1/2 inches
Step-by-step explanation:
area = length × width (w)
45/4 = 9/2 × w
45/4 =9w/2
45×2 = 9w×4
90 = 9w×4
9w= 90/4= 45/2
w= 45/2 × 1/9
w= 5/2 inches or 2 1/2 inches
Leon was in line to buy a saw on sale for 25% off the original price of $198. When he got to the register, he remembered he had a coupon for an additional 10% off.
How much did the saw cost after the discounts?
Answer:
133.65
Step-by-step explanation:
198 - 49.5=148.50
145.50 - 14.85= 133.65
The graphs show the amounts in two different bank accounts over several months.
Explain whether Account A shows a proportional relationship between months and the amount in the account.
Explain whether Account B shows a proportional relationship between months and the amount in the account.
Analyze the graph that shows a proportional relationship. Explain the meaning of the points (x,y) and (1,r) where r is the unit rate.
Answer:
where are the graphs?
Step-by-step explanation:
PLS HELPP ! I’m being timed
Answer:
C
Step-by-step explanation:
What I think
Please help with this anyone
WILL MARK BRAINLYIST
Answer:
C
Step-by-step explanation:
Hope it helps!
which one is it please help!
Find all zeros of the equation 0 = x ^ 2 - x - 12
Answer:
x=4,-3
Step-by-step explanation:
Find the roots of 0 = x ^2 − x − 12 by solving for x .
Answer:
3 zeros
Step-by-step explanation:
What is the value of 3 in the figure shown below?
E
с
4.2
4.2.
A
20
35°
62°
4.3
4.3
D
B
Answer:
[tex]35degrees[/tex]
Gianna uses 100 stamps each day for her business. If she begins each day with 100 stamps, and after each package that is shipped has 4 less stamps, how many stamps would Gianna have left after 6 packages? Which of the following choices is the correct pattern?
a. 100, 104, 108, 112, 116, 120, 124
b. 100, 90, 80, 70, 60, 50, 40
c. 100, 96, 92, 88, 84, 80, 76
d. None of these choices are correct.
Answer:
c.
Step-by-step explanation:
The pattern is supposed to be -4.
Gianna has 76 stamps left after 6 packages and pattern of decreasing stamps can be calculated as 100, 96, 92, 88, 84, 80, 76. Hence option c is correct
Gianna uses 100 stamps each day for her business. If she begins each day with 100 stamps, and after each package that is shipped has 4 less stamps,
What is arithmetic?
In mathematics it deals with numbers of operations according to the statements.
As per question, after each package that is shipped has 4 less stamps.
Now, for nth term of an arithmetic progression.
nth term = a + nd
Here, we have a = 100, d = -4 and n = 6
So after 6th package shipped the number of stamps left.
= 100 - 6 x 4
= 76
And pattern of decreasing stamps can be calculated as 100, 96,92,88,84,80,76.
Thus, Gianna has 76 stamps left after 6 packages and pattern of decreasing stamps can be calculated as 100, 96,92,88,84,80,76.
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what is the GCF of 8,12,16
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
4 * 2 = 8
4 * 3 = 12
4 * 4 = 16
help i’m failing school rn lol
Answer:
B.9x
Step-by-step explanation:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.
Write an explicit formula for the nth term or the sequence 8,-24, 72
Answer:
[tex]T_n =-\frac{8}{3} (-3)^{n}[/tex]
Step-by-step explanation:
Given
[tex]Sequence: 8, -24, 72[/tex]
Required
Determine the n term
The above sequence is geometric. So, we calculate the common ratio first:
[tex]r = \frac{T_2}{T_1}[/tex]
[tex]r = \frac{-24}{8}[/tex]
[tex]r = -3[/tex]
The equation is then calculated using:
[tex]T_n = ar^{n-1}[/tex]
Where
[tex]a = T_1 = 8[/tex]
and
[tex]r = -3[/tex]
The equation becomes:
[tex]T_n =8 * (-3)^{n-1}[/tex]
Apply law of indices:
[tex]T_n =8 * (-3)^{n} * (-3)^{-1}[/tex]
[tex]T_n =8 * (-3)^{n} * \frac{1}{-3}[/tex]
[tex]T_n =-8 * (-3)^{n} * \frac{1}{3}[/tex]
[tex]T_n =-\frac{8}{3} * (-3)^{n}[/tex]
[tex]T_n =-\frac{8}{3} (-3)^{n}[/tex]
Which inequality is NOT true?
A 65.7 < 67.54
B 4.003 > 4.03
C 26.4 < 26.48
D 0.91 > 0.097
Answer:
b
Step-by-step explanation:
it's b and mark me brainlist plaese
