. The length of the long-distance calls made by the employees of a company followed a normal distribution with a mean of 6.5 minutes and a standard deviation of 2 minutes. a. What is the probability that a call lasts less than 4 minutes
Answer:
The probability that a call lasts less than 4 minutes
P(X<4) = P(Z<-1.25) = 0.1056
Step-by-step explanation:
Step(i):-
Given mean of the population = 6.5 minutes
Given standard deviation of the Population = 2 minutes
Let 'X' be the random variable in normal distribution
Given X = 4
[tex]Z= \frac{x-mean}{S.D} = \frac{4-6.5}{2} = -1.25[/tex]
Step(ii):-
The probability that a call lasts less than 4 minutes
P(X<4) = P(Z<-1.25)
= 1-P(z>1.25)
= 1 - ( 0.5 +A(1.25)
= 1-0.5 - A(1.25)
= 0.5 - 0.3944 ( from normal table)
= 0.1056
Final answer:-
The probability that a call lasts less than 4 minutes
P(X<4) = P(Z<-1.25) = 0.1056
Help please I really need help ?!!
Subtract.
(-9r - 3) - (7r - 1)
Submit
Answer:
-16r -2
Step-by-step explanation:
plz brainliest :)
do you want an explanation?
Find the absolute Value
-8
Answer:
8
Step-by-step explanation:
8 Because it is 8 jumps on a number line from 0.
Answer:
8
Step-by-step explanation:
The absolute value of a number is always the positive version of that numberSo, the absolute value of -8, is 8I hope this helps!
Choose the equation that represents the line that passes through the point (-1, 6) and has a slope of (-3).
A. y = -3x + 3
B. y = -3x -6
C. y = 3x - 3
D. y = 3x -1
Estimate 43,059 ÷ 62 = 2. Estimate 11,117 ÷ 96 = 3. Estima.24,743 ÷ 54 =
Answer:
466.8490566
Step-by-step explanation:
use your calculator
I'm having a math test tomorrow, what the best way to study?
Answer:
You can try using flash cards or use quizlet
Answer:
By studying practice quizzes in that chapter and reviewing past work.
Step-by-step explanation:
hope this helped!
Please help I'm in need.
Answer:
the last one is correct if see the commas
Step-by-step explanation:
plz mark me as a brainliest
Translate the following words into an expression:
A number plus 17
Hint: select ALL that apply.
A. x + 17
B. x - 17
C. 17 + x
D. 17x
An asymptote is a line that the graph of a function
A. divides
B. equals
C. approaches but does not cross
D. defines
E. approaches and crosses
Greg's found 72-24 first be subtracted 20 because he think it was easier.Use words and numbers to explain greg's answer
answer:
its correct as long as he subtracts 4 after that.
Step-by-step explanation:
That is because if you only subtract part of the first number, the answer will be wrong. and the question is also written a bit wierd.
find the slope
6:1
12:1
18:3
Answer:
6 is my slope
Step-by-step explanation:
1-1
12 - 6 = 6 and that is my answer
URGENT HELP THIS IS FOR DWREAD ONLY
Answer:
(-1,0) and (3,0)
Step-by-step explanation:
The x-intercepts are the points where the graph crosses the x-axis. (-1,0) and (3,0)
In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° and the 40° angle.
Write and solve an equation to determine the measure of angle y.
Answer:
the answer is 60° I think
what is the lenght of a day on Mercury in hours?
Answer:
1407 and 30 minutes
Step-by-step explanation:
one day 58d 15h 30m
58 days x 24 hours = 1392
1392+15 hours = 1407
Calculate the angle between (2,2,4) and (2,-1,1). The result is a familiar angle, so the answer is to be given exactly.
Answer:
The angle between [tex](2,2,4)[/tex] and [tex](2,-1,1)[/tex] is 60º.
Step-by-step explanation:
From linear algebra, we can determine the angle between both vectors by definition of dot point:
[tex]\cos \theta = \frac{\vec u\bullet \vec v}{\|\vec u\|\cdot \| \vec v\|}[/tex] (1)
Where:
[tex]\vec u[/tex], [tex]\vec v[/tex] - Vectors.
[tex]\|\vec u\|[/tex], [tex]\|\vec v\|[/tex] - Norms of vectors.
[tex]\theta[/tex] - Angle between vectors, measured in sexagesimal degrees.
If we know that [tex]\vec u = (2,2,4)[/tex] and [tex]\vec v = (2,-1,1)[/tex], then angle between vectors is:
[tex]\|\vec u\| = \sqrt{\vec u\bullet \vec u}[/tex] (2)
[tex]\|\vec u\| = \sqrt{2^{2}+2^{2}+4^{2}}[/tex]
[tex]\|\vec u\| \approx 4.899[/tex]
[tex]\|\vec v\| = \sqrt{\vec v\bullet \vec v}[/tex] (3)
[tex]\|\vec v\| = \sqrt{2^{2}+(-1)^{2}+1^{2}}[/tex]
[tex]\|\vec v\| \approx 2.450[/tex]
[tex]\vec u \bullet \vec v = (2,2,4)\bullet (2,-1,1)[/tex]
[tex]\vec u \bullet \vec v = 4-2+4[/tex]
[tex]\vec u \bullet \vec v = 6[/tex]
[tex]\cos \theta = \frac{6}{(4.899)\cdot (2.450)}[/tex]
[tex]\cos \theta = 0.5[/tex]
[tex]\theta = 60^{\circ}[/tex]
The angle between [tex](2,2,4)[/tex] and [tex](2,-1,1)[/tex] is 60º.
6 points
15. Rectangle JKLM with vertices J(8, 11), K(14, 11), L(14,-4), and M(8,-4):
scale factor k = 1/3, centered of dilation at (5,2). What are the coordinates
of J'? *
Heeeelp I will give Brainlist
Answer:
first one
Step-by-step explanation:
can you just answer this question?
Answer:
3 packs of water because its one one cent less then the other question
.25>.26
Step-by-step explanation:
To buy a car, Mitchell borrowed $17,000 at an annual (yearly) simple interest rate of 9%. During his first year of this loan, he will owe the bank $1530 in interest.
Answer: True
Step-by-step explanation:
(1) 100% - 9% = 91% = .91
(2) .91 x 17,000 = 15470
(3) 17,000 - 15,470 = 1'530
I GIVEEEEEE BRAINLILSTTTT
Answer:
1,-2
1,1
2,-1
these ate after multiplying all the vertices by 1/5
-6= n/2 - 10 help needed
Answer:
N = 4
Step-by-step explanation:
3. A farm has 40m of fence. What is the maximum area he can
enclose using 4 straight lengths of fence?
Answer:
160m squared
Step-by-step explanation:
A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the following table. Determine whether gender and passing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth.
Passed Failed
Male 17 6
Female 34 12
Since P(mail |fail)=________ and P(male)=______, the two results are_____ so the events are________
Answer:
Step-by-step explanation:
From the given information:
Passed Failed Total
Male 17 6 23
Female 34 12 46
Total 51 18 69
[tex]P(male | fail) = \dfrac{P(male \cap fail)}{ P(fail)}[/tex]
[tex]P(male | fail) = \dfrac{\dfrac{6}{69} }{\dfrac{18}{69}}[/tex]
[tex]P(male| fail) = \dfrac{1}{3}[/tex]
[tex]P(male | fail) = 0.333[/tex]
[tex]P(male) = \dfrac{23}{69}[/tex]
[tex]P(male) = \dfrac {1}{3}[/tex]
[tex]P(male) = 0.333[/tex]
The two results are equal:
So the events are dependent.
My average grade on
a set of five tests was
88%. I can remember
only that the first four
grades were 78%,
86%, 96%, 94%. What
was my fifth grade?
Answer:
86%
Step-by-step explanation:
88 times 5 = 440
78 + 86 + 96 + 94 = 354
440 - 354 = 86
The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 42 and a standard deviation of 10. Using the empirical (68-95-99.7) rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 22 and 52
Answer:
81.5% of 1-mile long roadways with potholes numbering between 22 and 52
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 42, standard deviation of 10.
The normal distribution is symmetric, so 50% of the measures are below the mean and 50% are above the mean
Approximate percentage of 1-mile long roadways with potholes numbering between 22 and 52:
22 = 42 - 2*10
So 22 is two standard deviations below the mean. Of the 50% of the measures that are below the mean, 95% are between two standard deviations below the mean(22) and the mean(42).
52 = 42 + 10
So 42 is one standard deviation above the mean. Of the 50% of the measures that are above the mean, 60% are between the mean(42) and one standard deviation above the mean(52).
In the desired interval, the percentage is:
[tex]P = 0.5*0.95 + 0.5*0.68 = 0.815[/tex]
81.5% of 1-mile long roadways with potholes numbering between 22 and 52
the property tax in a certain country varies directly as assessed valuation. If a tax of $1,590 is charged on a single-family home assessed at $81,000, determine the property tax on an apartment complex assessed at $237,600.
Answer: $4,664
Step-by-step explanation:
Direct Variation can be set up as a proportion:
[tex]\dfrac{\text{Property Tax}}{\text{Assessed Valuation}}:\dfrac{1590}{81,000}=\dfrac{x}{237,600}[/tex]
Cross Multiply: x = 4664
Step-by-step explanation:
[tex]Answer: $4,664
Step-by-step explanation:
Direct Variation can be set up as a proportion:
\dfrac{\text{Property Tax}}{\text{Assessed Valuation}}:\dfrac{1590}{81,000}=\dfrac{x}{237,600}Assessed ValuationProperty Tax:81,0001590=237,600x
Cross Multiply: x = 4664
[/tex]
help with my homework the question is my divisor is 9 am greater than 7 x 9 l am less than 8 x 9 what dividend am I
Answer:
70
Step-by-step explanation:
7*9+7 = 63+7 = 70
Andrew drew 20 drawings and 90 pictures how many times did he draw and painted
Answer:
110
Step-by-step explanation:
90 + 10
Which expression is equivalent to y • 48?
A. (• 40) + 8
B. (y • 4) • 8
C. (y • 40) + (y • 8)
D. (y • 4) + 8
Answer:
c
Step-by-step explanation:
Answer:
This anwer is A
Step-by-step explanation:
Tell me if im wrong thank you!
Im like 90% sure