Answer:
0.15 = 15% probability that it came from Site 3
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: Being recalled
Event B: Recalled from site 3.
Probability of being recalled:
5% of 60%(from site 1)
7% of 30%(from site 2)
9% of 10%(from site 3).
So
[tex]P(A) = 0.05*0.6 + 0.07*0.3 + 0.09*0.1 = 0.06[/tex]
Probability of being recalled, being from site 3.
9% of 10%.
[tex]P(A \cap B) = 0.09*0.1 = 0.009[/tex]
If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.009}{0.06} = 0.15[/tex]
0.15 = 15% probability that it came from Site 3
Kayla bought 16 bagels.She paid a total of $20.Write an equation to determine whether each bagel cost $1.50 or 1.25.
Telephone survey contact rates. Telephone surveys typically have high rates of nonresponse. This can cause bias when the variables being studied are associated with factors that determine the response rate. For mail and home surveys, it is known that advanced-warning letters letting participants know that a survey is on its way increases overall response. A study investigated the utility of leaving messages on answering machines as a means of encouraging participation in telephone surveys. A message was left or not left at random when an answering machine picked up the first call of a telephone survey.
Contacted Not Contacted Household
Advance warning 200 91 291
No advance warning 58 42 100
a. Descriptive statistics: Calculate contact "rates" (proportions) for each of the groups.
b. Hypothesis test: Test the proportions for a significant difference. Show all hypothesis-testing steps.
c. Estimation of the effect size: Calculate the difference in proportions and its 95% confidence interval. Does this effect seem large enough to be important?
How can we write 2.7 in words
Answer:
Two and seven-tenths.
Step-by-step explanation:
Pls help quick and thx
Answer:
A)3(14+9)=69
Step-by-step explanation:
42+27=69
A)3(14+9)=69
B)3(14*9)=378
C)6(7+57)=384
D)6(7*57)=2394
Answer is A
Can solve this for me please I will give brainliest to who ever answers correctly
The Fernandez family has a square driveway with an area of 210.25 m2. Find the perimeter of the driveway. Round your answer to the nearest foot. There are approximately 3.3 ft in 1 meter. What’s the answer?
Answer:
191 ft
Step-by-step explanation:
Mathematically, the area of a square is the square of the length of its side
so if the side is l, the area will be l^2
we need the length before we get the perimeter
Thus;
l^2 = 210.25
l = √210.25
l = 14.5 m
We now need to get the perimeter of the drive way
The perimeter of the driveway will be 4 * l
= 4 * 14.5 = 58 m
we now convert this to ft
From the question;
3.3 ft = 1 m
x ft = 58 m
x = 58 * 3.3
x = 191.4 ft
To the nearest foot, this is 191 ft
Consider the scale drawing of a skate park.
A skate park has side lengths of 2 feet, 4 feet, 1.5 feet, and 3 feet.
The 2 ft side length of the scale drawing corresponds to a side length of 120 feet for the actual skate park.
What is the scale factor?
What operation will find the dimension of the actual skate park that corresponds to 4 ft on the scaled drawing?
Answer:
The scale factor is 1/60
we know that
The scale factor is equal to the ratio between the side length of the scale drawing to the corresponding side length in the actual
so
2/120 = 1/60
The scale factor is 60 and the dimension of the actual skate park that corresponds to 4 ft on the scaled drawing is 240 feet.
What are Similar Triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Given that a skate park has side lengths of 2 feet, 4 feet, 1.5 feet, and 3 feet.
The 2 ft side length of the scale drawing corresponds to a side length of 120 feet for the actual skate park.
We need to find the scale factor
scale factor = actual length / corresponding length in the scale drawing
scale factor = 120 ft / 2 ft
scale factor = 60
Therefore, the scale factor is 60.
The dimension of the actual skate park that corresponds to 4 ft on the scaled drawing, we can multiply the length in the scale drawing by the scale factor:
actual length = length in the scale drawing × scale factor
actual length = 4 ft × 60
actual length = 240 ft
Hence, the scale factor is 60 and the dimension of the actual skate park that corresponds to 4 ft on the scaled drawing is 240 feet.
To learn more on similar triangles click:
https://brainly.com/question/25882965
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40 sneezes in 20 minutes as a unit rate
Answer:
Unit rate = 2 sneezes per minute
Step-by-step explanation:
40 sneezes in 20 minutes.
One quantity is 1 in unit rate with respect to other.
Unit rate = [tex]\frac{40\ sneezes}{20\ minutes}[/tex]
Unit rate = 2 sneezes per minute
Michael is a painter who sells his work through a shop. On average, if he paints 15 small paintings over the course of a month, 3 of them will sell within a week of being taken to the shop. This month Michael plans to paint 90 small paintings. What is a reasonable prediction of how many paintings he will sell in the first week of the next month?
Answer:
litttle mikey afton sells PAINTINGS?!
Step-by-step explanation:
2/5, 1/8 common denominator
3/4, 1/2 common denominator
2/3, 1/6 common denominator
Perform the indicated operation.
2 −3
4 −1
−
−2 7
11 0
=
a b
c d
a = , b = , c = , d =
Answer:
a= 4
b= -10
c= -7
d= -1
Step-by-step explanation:
Answer:
a= 4
b= -10
c= -7
d= -1
Step-by-step explanation:
PLEASE HELP DUE IN 20 MINUTES!!!! I will give brainliest for first correct answer
A Jaguar XJ220 is 41 mph slower than a Bugatti Veyron, which can travel 253 mph. How fast does the Jaguar XJ220 travel? How would you write this as an equation with a variable in the middle for the missing number?
Answer:
212 miles per hour
Step-by-step explanation:
253 - 41 = 212
What is the other name for continuous variables?
Nominal variables.
Scale variables.
Dummy variables.
Categorical variables
Answer:
Nominal variables.
Step-by-step explanation:
In Mathematics, a random variable can be defined as any variable whose values are determined by the outcome of a random experiment.
Basically, random variables are classified into two (2) main categories and these are;
1. Discrete variable: a discrete variable is a data set in which the number of possible values are either finite or countable. For instance, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.
2. Continuous variable: a continuous variable is a data set having infinitely many possible values and those values cannot be counted, meaning they are uncountable. Any quantity such as height, volume, weight, density, length, pressure, temperature, speed, distance, time are generally a continuous random variable.
Hence, the other name for continuous variables is nominal variables because they are numerical in nature.
A guitar is originally priced at $150. The online retailer gives a discount and the guitar is now priced at $75. Enter the percentage discount for the cost of the guitar.
Answer:
50%
Step-by-step explanation:
75 is half of 150.
150/2 = 75 --> 50%
Jill is making a long cape. She needs 7 1/3
yards of blue fabric for the outside of the cape. She needs 6 2/3
yards of purple fabric for the lining of the cap
How much more blue fabric than purple fabric should Jill buy?
Answer: 2/3yards
Step-by-step explanation:
From the question, we are informed that Jill is making a long cape and that she needs 7 1/3yards of blue fabric for the outside of the cape and that she needs 6 2/3yards of purple fabric for the lining of the cap.
To calculate the yards of blue fabric that'll be needed more than purple fabric,, we subtract 6 2/3 from 7 1/3. This will be:
= 7 1/3 - 6 2/3
= 2/3
She needs 2/3yards of blue fabric more.
There are 30 skittles in a bowl and 6 of them are red. What percentage of the skittles in the bowl are red. What percentage of the skittles in the bowl are red?
Answer: 20% of the skittles in the bowl are red.
Step-by-step explanation:
6 red skittles/ 30 total skittles = 0.2 x 100 = 20%
20% of the skittles in the bowl are red.
pls help, basic algebra problem with guidance
Answer:
x = 43000/9 or 4777.7 (i'm not 100% sure on this, so i apologize if i'm incorrect)
Step-by-step explanation:
The equation you were given was:
amount of solution • rate of concentration = amount of pure acid
By looking at the question, you can conclude that the amount of solution being used is 18%. You need to turn that into a decimal, therefore it'd be 0.18.
You can also conclude that the amount of pure acid being used is 860 milliliters. So, from this, you're able to fill in 2 parts of the equation:
0.18 • x = 860 mL
Now, all there's left to do is solve for x! To do this ,you'll need to rearrange the multiplication problem into a division problem.
860 / 0.18 = x
x = 43000/9 or 4777.7
Pleaseeee help I only need this answer to be passing math
Answer:
Angle 5 and Angle 7
Step-by-step explanation:
The last option is right in which you want the vertical angles to be straight lines. In this case, angle 5 and angle 7 is correct because of their straight lines intersecting and that they are also congruent to each other.
Answer:
Choice D: angle 5 and angle 7
Step-by-step explanation:
Vertical angles are the angles opposite of each other from two lines that intersect.
The diameter of a circle is 8 cm. Find its circumference in terms of pi
Answer:
25.13 or 8 × pi
Step-by-step explanation:
diameter × pi = circumference
Answer:
8π
Step-by-step explanation:
formula for circumference of a circle=
C=2πr, r= radius
the radius is the diameter divided by 2
radius= 8/2=4
plug into formula
C=2π4
multiply 2 and 4
C=8π
The perimeter of a rectangular garden is 72 feet. If the width is 8 feet less than the length, write a system of equations involving the length and width, L and W, and solve it to find the dimensions of the rectangle.
Answer:
width -w
length l= 2*w+5
perimeter P=2w+2l, 52=2w+2l
system of equations:
52=2w+2l ------> 26 =w+l (1)
l= 2*w+5 (2)
substitute value of l from second equation into the 1st
26=w+2w+5
26=3w+5
21=3w
w=7
l=2w+5, l=2*7+5, l=19
Answer:
system
52=2w+2l
l= 2*w+5
length 19 ft, width 7 ft
Step-by-step explanation:
do not copy and paste into assignments please put this in your own words if possible
please mark brainliest
Solve for u.
64 = 0 + 36
U =
Answer:64=36
Step-by-step explanation:
Find the 63rd term of the arithmetic sequence
2
,
9
,
16
,
.
.
.
2,9,16,
Answer:
443
Step-by-step explanation:
this can be put into the linear equation y = 7x + 2
substitute 63 for x
y = 7(63) + 2
simplify
y = 441 + 2
y = 443
the 63rd term is 443
hope this helps <3
Find the length of the unknown side. Round your
answer to the nearest tenth.
A. 20 cm
B. 400 cm
C. 10 cm
D. 29.2 cm
How long is 10% of 60 minutes. Explain how you know.
Answer:
6 minutes
Step-by-step explanation:
60 * 10% =
60 * 0.1 =
6
Answer6
Step-by-step explanation:
You would divide it by 10
Marcia is 11 years old now. 9 years ago Winona was three times as old as Marcia was then. How old is Winona now?
Answer:
11-9=2
2*3=6
6+9= 15
so 15? Is that right
7 x 28 =(20+ )=40+ =
What is 2x + 9 < 16; 4
Answer:
16 I think
Step-by-step explanation:
2. A small submarine is at an elevation of -30 feet compared to sea level. What is its elevation att
3. On Tuesday, Marissa was $45 short of her fundraising goal. The next day, she was $5 over her goal
a. Who ran the mile faster, Carl or Joe? How much faster?
b. Who ran 2 miles faster, Carl or Joe? How much faster?
Write an equation to show how much she raised in one day.
4. What is 12% of 350?
5. What is 35% of 120?
ascends 9 feet?
w
lik
Foi
PLEASE HELPP
A process on a machine has a standard deviation of 0.04 inches. If a product with specifications of /- 0.07 inches has to be processed on that machine, is the machine capable of performing that job
Answer:
No, it can't perform because C_p < 1
Step-by-step explanation:
We are told that a product with specifications of ± 0.07 inches has to be processed on that machine. This means that the product is centered on the machine.
Thus;
Specification Width = 2 × 0.07 = 0.14
Now, formula for capability index is;
C_p = specification width/(6 × standard deviation)
We are given standard deviation = 0.04. Thus;
C_p = 0.14/(6 × 0.04)
C_p = 0.5833
Now, for this process, C_p should not be less than 1. However in this case it is less than 1,thus it means that the machine will not be able to perform the job.
Jim is a salesman at a paper company. He sold 34 cases of paper to a law office. A case of paper contains 10 reams. How many reams of paper did he sell?
Answer:
Jim sold 340 reams of paper.
Step-by-step explanation:
The rule of three is a way to solve proportionality problems between three known values and one unknown. . That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.
If the relationship between magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other), the direct rule of three should be applied as follows, a, b and c the known values and x the unknown:
a ⇒ b
c ⇒ x
So: [tex]x=\frac{c*b}{a}[/tex]
In this case, the rule of three can be applied as follows: if 1 box of paper contains 10 reams, 34 boxes of paper will have how many reams?
[tex]amount of reams=\frac{34 boxes*10 reams}{1 box}[/tex]
amount of reams= 340 reams
Jim sold 340 reams of paper.
