Defective Merchandise Suppose that 8% of a certain batch of calculators have a defective case, and that 11 % have defective batteries. Also, 3% have both a defective case and defective batteries. A calculator is selected from the batch at random. Find the probability that the calculator has a good case and good batteries.
Answer:
0.84 = 84% probability that the calculator has a good case and good batteries.
Step-by-step explanation:
We have these following percentages:
8% of a certain batch of calculators have a defective case.
11 % have defective batteries.
3% have both a defective case and defective batteries.
Using Venn Diagrams:
Event A: Defective Case
Event B: Defecitve Battery
So the probabilities are: [tex]P(A) = 0.08, P(B) = 0.11, P(A \cap B) = 0.03[/tex]
Probability of at least one problem:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.08 + 0.11 - 0.03 = 0.16[/tex]
Find the probability that the calculator has a good case and good batteries.
No problems, so
[tex]p = 1 - P(A \cup B) = 1 - 0.16 = 0.84[/tex]
0.84 = 84% probability that the calculator has a good case and good batteries.
The probability that the calculator has a good case and good batteries is 0.84 or 84%
Calculation of the probability:Since
8% of a certain batch of calculators have a defective case.
11 % have defective batteries.
3% have both a defective case and defective batteries.
So, the probability is
= 1- (0.08 + 0.11 - 0.03)
= 1 - 0.16
= 0.84
Therefore, The probability that the calculator has a good case and good batteries is 0.84 or 84%
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Mark buys 250 carnival tickets. He uses 30% of the tickets on food and 50% of the tickets on games and rides. How many tickets does Mark have left?
Answer:
50.
Step-by-step explanation:
50+30 =80%. 80% of 250 is 200. so he used 200 and now left with 50
1. Find the area of the composite figure. Heellllppppp
Answer: 24
Step-by-step explanation:
Basically you just need to add the sides up to get your answer, its like breaking it up and adding simply.
On a map, the scale is 1 inch to 400 miles. If the
trip from Corpus Christi to El Paso is 600 miles,
how far apart will those cities appear on the map
(in inches)?
Answer:
B. 1.5 inches
Step-by-step explanation:
600/400=3/2=1.5
i need help really fast
How do u calculate Pythagorean theorem and what is the formula
Answer:
The formula is
Step-by-step explanation:
a^2 + b^2 = c^2
hope this helps
Which statement is NOT true in the equation y = 9x?
The value of y is 9 times the value of x.
The equation represents an additive relationship.
The value of y is 45 when the value of x is 5.
The equation represents a multiplicative relationship.
Answer:
dhdbdudbdudbdne d ieh eue
Answer: the equation represents an addictive relationship
Step-by-step explanation:
find slopes , ill mark brainlist
Answer:
[tex]\frac{3}{2}[/tex] [tex]or[/tex] [tex]1\frac{1}{2}[/tex]
Step-by-step explanation:
We are given a graph and asked to find the slope.
So we can see two coordinate points, one on (0, 3) and (2, 0).
When trying to find slope, we use the method rise over run, which basically means y over x as a fraction, in which you then divide.
So count how many times it'll take for x to get to y, base it off the picture below
Since we see our numbers to be divided are 3 over 2, do the division and you get 1 1/2.
Would this be negative though? No, since the graph is in an increase, not a decrease.
(-12/45)+15/35-12/45+15/35 slove step vise
Answer:
[tex]\frac{35}{105}[/tex]
Step-by-step explanation:
Pls can someone answer how to round 5pi to the nearest 10th I’ll give you brain points or whatever
Answer:
Step-by-step explanation:
5[tex]\pi[/tex]=15.70...
To round a number to the nearest tenth , look at the next place value to the right (the hundredths)which is 0 in this question.
Thus, it will become 15.7
The circumference of the circle is 5π mm or 15.7 mm if the diameter of the nickel (circle) is 5 millimeters.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
The diameter of the nickel (circle) is 5 millimeters
D = 5 millimeters
The circumference of the circle = πD
Plug D = 5 millimeters in the above formula:
The circumference of the circle = 5π mm
As we know,
π = 3.141 ≈ 3.14 (Rounded to the nearest the Hundredths Place)
The circumference of the circle = 5π = 15.70796 mm
The circumference of the circle = 15.70796 = 15.7 mm
(Rounded to the nearest Tenths Place)
Thus, the circumference of the circle is 5π mm or 15.7 mm if the diameter of the nickel (circle) is 5 millimeters.
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You buy dinner at a restaurant. Your bill is $17.50. The tax is 9%. You leave a 20% tip. How much did you pay total?
Answer:
22.57
Step-by-step explanation:
17.50 + (17.50 x 0.2) + (17.50 x 0.09) = 22.575
what’s the slope of (0,3) (7,-9)
Answer:
-[tex]\frac{12}{7}[/tex]
Step-by-step explanation:
y2-y1 ÷ x2-x1
-9-3 ÷ 7-0
-12 ÷ 7
(Can not be simplified any further)
Answer:
-12/7
Step-by-step explanation
[tex]\frac{Rise}{Run}[/tex]
Slope equals the change in y over the change in x.
Equation:
[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Plug in values.
[tex]\frac{-9-3}{7-0}[/tex]
Answer is:
[tex]-\frac{12}{7}[/tex]
The area oc an isoceles triangle is 44 square centimeters. Use the equation 1/2(8h)=44 to find the height of fhe triangle.
10 POINTS!! Select the correct answer.
Two line segments are parallel, and each is 8 centimeters long. How many rectangles can be constructed using this information?
A. 0
B. 1
C. 2
D. 4
E. infinitely many
Answer:
the answer is E . infinitely many
explaination:
The answer is Infinitely because if the sides are parallel then the other two sides must be the same measurement. However, they can be any measurement they want. So the answer is infinite triangles.
Answer:
E. Infinitely many
3) Andy earned 1,000$. He used 25% to buy food and 50% to pay
the rent. The rest he saved. How much money did he save?
Step-by-step explanation:
1000 devided by 75% gives 250
Glenda sells coffee for 50¢ and empanadas for $2 at the park on the weekends. One Saturday she
sold 90 items and made $105. How many coffees did she sell?
Answer:
50 coffees
(and 40 empanadas)
Step-by-step explanation:
x= coffee y=empanadas
.5x+2y=105
x+y=90
Isolate a variable
x+y=90
x-90= -y
-x+90=y
Plug this in for y in the other equation
.5x+2(-x+90)=105
Solve for x
.5-2x+180=105
-1.5x= -75
x=50
we can stop here but that's lame so let's figure out how many empanadas she sold
we know that x=50 so we can just plug this into either beginning equation and solve for y
50+y=90
y=40
A dilation maps AB onto A'B'. If the coordinates of the
endpoints are
A(4,2),
A'(10,5),
B(10,6),
B'(25, 15), then
what is the scale factor?
Answer:
[tex]k = 2.5[/tex]
Step-by-step explanation:
Given
[tex]A = (4,2)[/tex]
[tex]A' = (10,5)[/tex]
[tex]B = (10,6)[/tex]
[tex]B' = (25,15)[/tex]
Required
Determine the scale factor (k)
Scale factor is calculated using:
[tex]Old * k = New[/tex]
In this case, we have:
[tex]AB* k = A'B'[/tex]
Make k the subject
[tex]k = \frac{A'B'}{AB}[/tex]
Using point A and A'
[tex]k = \frac{A'}{A}[/tex]
[tex]k = \frac{(10,5)}{(4,2)}[/tex]
Factorize the numerator
[tex]k = \frac{2.5(4,2)}{(4,2)}[/tex]
[tex]k = 2.5*\frac{(4,2)}{(4,2)}[/tex]
[tex]k = 2.5*1[/tex]
[tex]k = 2.5[/tex]
Some one please help
Answer:
1/31 or [tex]\frac{1}{31}[/tex]
To find the answer, simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
please help! (URGENT)
Answer:
X = 5
Step-by-step explanation:
Strands of copper wire from a manufacturer are analyzed for strength and conductivity. The results from 100 strands are as follows: Strength High Low High conductivity 74 8 Low conductivity 15 3 a. If a strand is randomly selected, what is the probability that its conductivity is high and its strength is high
Answer:
0.74
Step-by-step explanation:
Given :
__________________ STRENGTH __
__________________High _ Low
High conductivity _____ 74 __ 8
Low conductivity _____ 15 ___ 3
Probability that conductivity is high and strength is high :
This the probability of High conductivity n High strength = P(High conductivity n High strength)
Probability = required outcome / Total possible outcomes
Required outcome = P(High conductivity n High strength) = 74 (from table)
Total possible outcomes = total sample size = 100
Hence,
P(High conductivity n High strength) = 74 / 100 = 0.74
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Answer:
Uhm...no thank youStep-by-step explanation:
Answer:
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Step-by-step explanation:
Rewrite the fraction 63/70 in simplest form
Answer:
9/10
Step-by-step explanation:
If you divide both the numerator and the denominator by 7 you get 9/10 and you cannot simplify this fraction any further. (Double check to make sure I'm correct)
Given the following data set: 3 5 6 7 7 8 8 8 9 9 9 10 102 Researcher detected the technical error in the last observation and replaced 102 by 10.2. What happens to Interquartile Range (IQR) and Standard Deviation (SD)
Answer:
After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04
Step-by-step explanation:
Given the data:
3 5 6 7 7 8 8 8 9 9 9 10 102
Ordered data: 3, 5, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 102
The interquartile range (IQR) for the data:
IQR = Q3 - Q1
Q3 = 3/4(n + 1) th term.
n = sample size = 13
Q3 = 3/4(14) = 10.5th term
Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9
Q1 = 1/4(14) = 3.5th term
Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5
IQR = Q3 - Q1 = 9 - 6.5 = 2.5
THE STANDARD DEVIATION :
Sqrt[Σ(X - m)²/n-1]
Using calculator :
Standard deviation = 26.3
Correcting error in the data:
3 5 6 7 7 8 8 8 9 9 9 10 10.2
Q3 = 3/4(n + 1) th term.
n = sample size = 13
Q3 = 3/4(14) = 10.5th term
Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9
Q1 = 1/4(14) = 3.5th term
Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5
IQR = Q3 - Q1 = 9 - 6.5 = 2.5
THE STANDARD DEVIATION :
Sqrt[Σ(X - m)²/n-1]
Using calculator :
Standard deviation = 2.04
After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04
if i earn $500 a week how much weeks do i have to work in order to have $1200
Answer:about 2 1/4 weeks
Step-by-step explanation:
Answer:
2 with a remainder of 200
I just divided it.
You multiply a number by (–3) and the product is negative. List four possible numbers you could have multiplied by –3 and four you could not have multiplied.
Answer:
-3(43)= -129
−3(3) = −9
−3(2) = −6
−3(1) = −3
−3(0) = 0
−3(−1) = 3
−3(−2) = 6
-3(-3)= 9
Step-by-step explanation:
As the factor decreases by 1, the product increases by 3. So −3(−1) = 3, −3(−2) = 6.
Multiplying −3 by a negative integer gives a positive number.
The product of a positive number and a negative number is negative.
Solve the equation, and check the solution. w/3 = 0.9 (The w is a variable for the fraction)
Answer:
w = 2.7
Step-by-step explanation:
To solve for what number divided by 3 is equal to 0.9 you can do 0.9*3 and get the answer 2.7. w = 2.7.
What is -5-3(-5x-3)-3x
Answer:
12x+4
Step-by-step explanation:
when simplified you would get 12x + 4
HELP NOW PLEASSEE ! Find the mean absolute deviation
Diana had 41 stickers. She put them in 7 equal groups. She put as many as possible in each group. She gave the leftover stickers to her sister. How many stickers did Diana give to her sister?
Answer:
5 to each group and she gave 6 stickers to he sister
When 6 pounds of coffee cost $4.68, how much will 3 1/2 pounds cost?
Answer:
2.73
Step-by-step explanation:
Have a great day! I just put it down to cost per pound and and then multiplied by 3 1/2 and got the answer. :)
Answer:
$4.48
Step-by-step explanation:
6/4.68 = 1.28205128205 = 1.28
3 1/2 x 1.28 =
3.5 x 1.28 = 4.48 =
$4.48
