The length of time required for the periodic maintenance of an automobile or another machine usually has a mound-shaped probability distribution. Because some occasional long service times will occur, the distribution tends to be skewed to the right. Suppose that the length of time required to run a 5000-mile check and to service an automobile has mean 1.4 hours and standard deviation .7 hour. Suppose also that the service department plans to service 50 automobiles per 8-hour day and that, in order to do so, it can spend a maximum average service time of only 1.6 hours per automobile. On what proportion of all workdays will the service department have to work overtime?
Solution :
Mean time for an automobile to run a 5000 mile check and service = 1.4 hours
Standard deviation = 0.7 hours
Maximum average service time = 1.6 hours for one automobile
The z - score for 1.6 hours = [tex]$\frac{1.6-1.4}{0.7 / \sqrt{50}}$[/tex]
= 2.02
Now checking a normal curve table the percentage of z score over 2.02 is 0.0217
Therefore the overtime that will have to be worked on only 0.217 or 2.017% of all days.
Tom and Susan park at different lots.
To see which lot is busier, they count the numbers of cars in the lots each day as they arrive.
Their data are shown in the box plots.
the questions to compare the variabilities of the data sets.
1. What is the interquartile range for Tom's data? Explain how you found the interquartile range.
Write your answer in the space below.
1
Answer:
Tom = 5
Susan = 3
Step-by-step explanation:
FROM THE BOXPLOT :
Tom's IQR :
IQR = Q3 - Q1
Q3 = third quartile (value at the endpoint of the box)
Q1 = 1st quartile (value at the beginning of the box)
IQR = 9 - 4
IQR = 5
SUSAN :
IQR = Q3 - Q1
Q3 = third quartile (value at the endpoint of the box)
Q1 = 1st quartile (value at the beginning of the box)
IQR = 8 - 5
IQR = 3
ATTEMPT SCORE 7 / 13 01 Fill in the Blank Text Fill in the blanks to show the product. 1. (x2 + 6) (2 - 4) = x T 2 + 2 2 + 24 2. (2x + 5)(x - 3) = 2 x 2 + 1 C + 15 3. (3x + 2)(2.x + 5) = 6 + 19 2 + 10 4. (2x - 1)(x - 5) = 2 22 +11 2 + 5 02 Math Short Answer they said I got it wrong so please help.
Select the correct answer. Consider the function f(x) = 10x and the function g(x), which is shown below. How will the graph of g(x) differ from the graph of f(x)? A. The graph of g(x) is the graph of f(x) shifted 6 units up. B. The graph of g(x) is the graph of f(x) shifted to the left 6 units. C. The graph of g(x) is the graph of f(x) shifted 6 units down. D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.
Answer:B
Step-by-step explanation:
The graph of g(x) is the graph of f(x) shifted to the left 6 units. Then the correct option is B.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
Consider the function f(x)= 10ˣ and the function g(x), which is shown below.
g(x)= f(x - 6) = 10⁽ˣ⁻⁶⁾
If we subtract any constant from the variable then the function gets shifted toward the left by constant units.
Similarly, 6 is subtracted from the variable then the function gets shifted toward the left by 6 units.
More about the function link is given below.
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HELPP ASAP DONT SEND A FILE PLS WHATS THE RULE FOR THIS TRANSFORMATION FOR ROATIONS QUESTION 5 ? I ONLY A FEW MINUTES PLZ HELP
Answer:
90-degree clockwise rotation: (x,y)⇒(y,-x)
Step-by-step explanation:
For D⇒D', (0,-3)⇒(-3,0)
For E⇒E', (2,-1)⇒(-1,-2)
For F⇒F', (5,-3)⇒(-3,5)
We can see that the pattern here is (x,y)⇒(y,-x), which is the rule for a 90-degree clockwise rotation.
PLEASE HELP I WILL GIVE BRAINLIEST (seven grade math)
On a Saturday morning,
Meaghan measured the temperature
and found a 5 degree increase An
hour later, the temperature
increased by another degree When a rain storm came through, the temperature dropped 6 degrees. What is the difference between the
temperature in the morning and the temperature after the rainstorm?
Answer:
Step-by-step explanation:
In the morning it was six degrees because you added that one other degree. But when it started raining it dropped down 6 degrees which will make it 0
May some one please answer this for me, if u are right i will give u brainliest
Answer:
b. 14x+4y
Step-by-step explanation:
The perimeter is determined by two times the length plus two times the width.
We will use the formula P = 2L+2W:
P = 2L+2W
P = 2(5x-y)+2(2x+3y)
P = (10x-2y)+(4x+6y)
P = 14x+4y
Cast Iron Company, on each nondelinquent sale, receives revenues with a present value of $1,230 and incurs costs with a value of $1,065. Cast Iron has been asked to extend credit to a new customer. You can find little information on the firm, and you believe that the probability of payment is no better than 0.77. But if the payment is made, the probability that the customer will pay for the second order is 0.94. It costs $15.25 to determine whether a customer has been a prompt or slow payer in the past.
Calculate the minimum probability at which credit can be extended. (round answer 2 decimal places)
Answer:
[tex]P=0.866[/tex]
Step-by-step explanation:
From the question we are told that:
Present value of iron [tex]x_v=\$1230[/tex]
Present cost of iron [tex]x_c=\$1065[/tex]
Probability of payment [tex]P_p=0.77[/tex]
Probability that the customer will pay for the second order [tex]P_s=0.94[/tex]
Cost of knowing customer status [tex]x_k=\$15.25[/tex]
Generally the equation for Expected probability [tex]E_p[/tex] is mathematically given by
[tex]E_p=(probability*(revenue-cost)-(1-probability)*present\ value\ of\ cost)[/tex]
[tex]E_p=(P*(x_v-x_c)-(1-P)*X_c)[/tex]
Where
[tex]E_p=0[/tex]
[tex]P=minimum\ probability\ at\ which\ credit\ can\ be\ extended[/tex]
Therefore
[tex]0=(P*(1230-1065)-(1-P)*1065)[/tex]
[tex]165P-1065+1065P=0[/tex]
[tex]P=\frac{1065}{1230}[/tex]
[tex]P=0.866[/tex]
Therefore the minimum probability at which credit can be extended is given as
[tex]P=0.866[/tex]
[tex]P=86.6\%[/tex]
Janet has 4 more dollars than Marta. Together they
have $38. How much does each person have?
Answer:
Janet has $21 and Marta has $17
Step-by-step explanation:
38-4 since Janet has 4 more dollars
34/2 since there are two people
17 but you still have to add the 4 to Janet since she has 4 more dollars
Answer:
Marta has $15, and Janet has $23.
Step-by-step explanation:
38 in half is 19.
19 + 4 = 23
19 - 4 = 15
please help a brotha out and i'll give you brainliest
Answer:
First box: 15 * 10^10.
Second box: 300,000,000 meters per second.
Third box: 48 * 10^-13 meters.
Fourth box: 167 * 10^-29 meters.
Step-by-step explanation:
These should be correct! I put them in order from the top empty box to the bottom empty box!!!
Please mark brainliest if correct!!!
In 2017 the population of Rexburg, Idaho was 28,337 people. The population was expected to grow at a rate of about 1.26% per year. Based on these numbers, what would we predict the population of Rexburg will be in the year 2022?
(Round to the nearest whole number.)
Answer:
30,122
Step-by-step explanation:
This probably isn't the fastest way to solve but....
28,337x1.26%= 357
357x5=1785
28,337+1785=30,122
The 5 came from the # of years the population is increasing
We are required to find the population of Rexburg will be in the year 2022
The population of Rexburg will be in the year 2022 is 30,122 people
Given:
2017 population = 28,337 people
Growth rate per year = 1.26%
let
n = number of years between current and predicted
= 2022 - 2017
n = 5 years
Yearly growth rate = 28,337 × 1.26%
= 28,337 × 0.0126
= 357.0462
Predicted population in 2022 = 2017 population + (357.0462 ×5)
= 28,337 + 1,785.231
= 30,122.231
Approximately, 30,122 people in 2022.
Therefore, the population of Rexburg will be in the year 2022 is 30,122 people
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Consider this system of equations. y=2x x+2y=15
Answer:
x=3
y=6
Step-by-step explanation:
ez pz
Use multiplication to create an equivalent fraction for 2/5
Answer:
4/10
Step-by-step explanation:
2/5 times 2/2
Make sure To multiply with the SAME denominators and numerators.
I hope this helps!!
Answer:
6/15
Step-by-step explanation:
2/ 5 x 3/3 = 6/15
Note that to find equalivalent fractions multiply “BOTH” the numerator and the denominator
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 2 of 2 : Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level. Using the data, construct the 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.
Answer:
The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level.
So 292 - 240 = 52 read below or at eight grade level, and that [tex]n = 292, \pi = \frac{52}{292} = 0.178[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.149[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.207[/tex]
The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).
HELP ME PLZZZZZZ AND THANK YA ILL GIVE BRAINILIEST THINGY-MA-GIGGY
a cone has a volume of 24 cubic feet. a cylinder has a congruent base to the cone. the cylinder is the same height as the cone. how many cubic feet will the cylinder hold?
A) 8 B)58 C)72
Answer:
hewo Asuna here
your answer is C
Step-by-step explanation:
hope this helps^^
Third one (Probably two or one more left)
6×25= 150
17×5= 85
150+85= 235
the answer is 235 :3
4.4s + 6.2 = 8.8s - 1.8
please help
Answer:
s = 1.81
Step-by-step explanation:
4.4(1.81)+6.2=8.8(1.81)-1.8
plug in and multiply if you'd like to clarify :)
Answer:
=Steps
4.4s+6.2=8.8s−1.8
Multiply both sides by 10
4.4s· 10+6.2· 10=8.8s· 10−1.8· 10
Refine
44s+62=88s−18
Subtract 62 from both sides
44s+62−62=88s−18−62
Simplify
44s=88s−80
Subtract 88s from both sides
44s−88s=88s−80−88s
Simplify
−44s=−80
Divide both sides by −44
−44s
−44 =
−80
−44
Show Steps
Simplify
s=
20/11
Step-by-step explanation:
1. Which point is a solution to this system of equations? 3х - у = 7 and 2x + 3y = 1
9514 1404 393
Answer:
(x, y) = (2, -1)
Step-by-step explanation:
A graphing calculator can find a solution quickly. (see attached)
__
The first equation can give an expression for y:
y = 3x -7
We can substitute this into the second equation:
2x +3(3x -7) = 1
11x -21 = 1 . . . . . . simplify
11x = 22 . . . . . . . add 21
x = 2 . . . . . . . divide by 2
y = 3(2) -7 = -1 . . . . using our equation for y
The solution is (x, y) = (2, -1).
please help asap!!! 20 points!! 6th grade math.
Answer:
What? i can't even read it
Step-by-step explanation:
6th GRADE, PLS HELP ME WITH THE IMAGEEEE
Answer:
y=7x
Step-by-step explanation:
Take two points from the line and plug them into y2-y1/x2-x1. In this case, I chose (6,42) and (7,49). This will make the equation 49-42/7-6. This is equal to 7/1 or 7. Therefore, the equation is equal to y=7x.
If this helps please mark as brainliest
Step-by-step explanation:
6x7=42
7x7=49
8x7=56
9x7=63
AB is the midsegment of AXYZ and PQ is the midsegment of XAB. What is the relationship in length between PQ and YZ? O PQ = 1/8 Y Z O PQ = 1/2YZ O PQ = 1/4Y Z O PQ = 1/3YZ
Answer:
third option: PQ = 1/4(YZ)
Step-by-step explanation:
By the Midsegment Theorem, a midsegment is 1/2 the side across it. Using this, we can say:
In triangle XYZ, AB = 1/2(YZ)
And in triangle XAB, PQ = 1/2(AB)
We can substitute AB into the second equation to get:
PQ = 1/2(1/2(YZ))
PQ = 1/4(YZ)
This is the third option.
how to find the volume of this cube
if you are to measure the following figure for real,what tool(ruler or meter stick) and unit of measur(m, cm, in,) will you use..........
help me guys plsss
Write 0.0000000000048 as a multiple of a power of 10.
Answer:
Step-by-step explanation:
6.492506e-114
Answer:
4.8 x 10^-12
hope this helps
have a good day :)
Step-by-step explanation:
The expanded form of 3(4a) is:
Answer:
12a
Step-by-step explanation:
Use the distributive property and distribute 3 into 4a.
The expanded form of the expression 3(4a) is, 12a.
What are the basic properties of arithmetic laws of operations?There are three types of basic arithmetic laws of operation.
Commutative law for addition and multiplication states,
a + b = b + a.
a×b = b×a.
Distributive law states,
a(b ± c) = ab ± ac.
Associative law states,
a + (b + c) = (a + b) + c.
Given, An expression 3(4a),
We know in algebra we write multiplications a×b as, ab or a.b.
Therefore, the expanded form of the expression 3(4a) is,
= 3×4×a.
= 12×a.
= 12a.
learn more about arithmetic laws here :
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Mrs. Clark has 7 candy bars to share equally with all the students in his class. He gives each student 1/4 of a bar. None of the chocolate bar is left over. How many students does he have in his class?
Answer:
28
Step-by-step explanation:
7×4
aaaaaaaaaaaaaaa
1.4 and its solved by the percentage of the 7
What is the solution to the equation below round your answer to two decimal decimal places log4 x=2.1
A. x=8.40
B. x=18.38
C. x=8.17
D. x=19.45
Answer:
B
Step-by-step explanation:
log4x = 2.1
logx/log4 = 2.1
logx = log(4) x 2.1
logx = 1.264
x = 10^(1.264)
x = 18.38 (to two d.p)
Calculator
A normal distribution has a mean of 102 and a standard deviation of 2.9.
What is the z-score of 105?
Enter your answer, rounded to the nearest hundredth, in the box.
Answer:
the z score of 105 is 1.03
Step-by-step explanation:
Given that
the mean is 102
And, the standard deviation is 2.9
We need to find the z score of 105
As we know that
Z score = (Observed value - mean) ÷ standard deviation
= (105 - 102) ÷ 2.9
= 1.03
Hence, the z score of 105 is 1.03
The same would be considered and relevant
Which is correct?
There laughing at the magazine . Their magazine is very funny Put the magazine over they're.
2. Their laughing at the magazine. They're magazine is very funny. Put the magazine over there.
3. They're laughing at the magazine . Their magazine is very funny. Put the magazine over there.
4. There laughing at the magazine . They're magazine is very funny . Put the magazine over their.
Answer:
3
Step-by-step explanation:
for the first word in three, its they are basically makes the most sense.
Answer:
3 because it is very correct and sounds normal
What is the quotient of the rational expressions shown below? Make sure
your answer is in reduced form.
x2 - 16 x2 - 8x + 16
x+5 2x +10
Answer:
D
Step-by-step explanation: