Answer:
438 x 934=409092
Step-by-step explanation:
I hope this helps.
According to Maryland Motor Vehicle Administration [MVA] data, Gary Turgeon, a clerk at the Beltsville, Maryland, MVA location, assists six customers per hour, on average.
a. Determine the probability the amount of time Gary takes to assist the next customer is less than 12 minutes.
b. Determine the probability the amount of time Gary takes to assist the next customer exceeds 20 minutes.
c. Determine the probability the amount of time Gary takes to assist the next customer is between 8 and 15 minutes (in the interval 8 to 15 minutes)
d. Determine the probability the amount of time Gary takes to assist the next customer is either less than 14 minutes or greater than 22 minutes.
Step-by-step explanation:
6 customers per hour [tex]=1[tex] customer per 10 minutes
[tex]X \sim \operatorname{Exp}(\beta=10) \quad[/tex] (given mean)
Pdf is given by: [tex]f(x)=\frac{1}{\beta} e^{-x / \beta}, 0<x[/tex]
Pdf: [tex]f(x)=\frac{1}{10} e^{-x / 10}, \quad 0<x,[tex] and zero otherwise.
Cdf: [tex]P(X \leq x)=1-e^{-x / \beta}[/tex]
[tex]P(X \leq x)=1-e^{(-x / 10)} \quad[/tex] for [tex]x>0 \Longrightarrow P(X>x)=e^{-x / 10}[/tex]
a)[tex] \begin{array}{c}
P(X<12)=1-\exp (-12 / \beta)=1-e^{-1.2}=1-0.301194=0.698806 \approx 0.699 \\
P(X<12)=0.699 \end{array}[/tex]
[tex]\begin{aligned}
&\begin{array}{c}
P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\
P(X>20)=0.1353
\end{array}\\[/tex]
&\text { c) }\\
&P(8<X<15)\\
&\begin{array}{l}
=P(X<15)-P(X<8) \\
=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\
=\exp (-8 / \beta)-\exp (-15 / \beta) \\
=e^{-0.8}-e^{-1.5} \\
=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\
\quad P(8<X<15)=0.2262
\end{array}
\end{aligned}
\begin{aligned}
&\text { d) }\\
&\begin{array}{l}
P(14<X<22) \\
=P(X<22)-P(X<14) \\
=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\
=\exp (-14 / \beta)-\exp (-22 / \beta) \\
=e^{-1.4}-e^{-2.2} \\
=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\
P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\
P(X<14 \cup X>22)=0.8642
\end{array}
\end{aligned}
2x2 - 8xy - 2y2 for x = 6 and y = 5
Answer:
-236
Step-by-step explanation:
Step 1 (plug in x and y): [tex](2)(6)(2)-(8)(6)(5)-(2)(5)(2)=[/tex]
Step 2 simplify): [tex](24)-(240)-(20)[/tex]
Step 3 (evaluate): [tex]-236[/tex]
I need these questions done. I'm lost. And all my points are gone pls help............................................................................
Answer:
Step-by-step explanation:
(x+1)(x+6)/(x+1) = x + 6
(x-19)(x+2)/(x+2)= x - 19
(x-8)(x-2)/(x-2)= x - 8
Answer:
x+6 x-19 x-8 from top to bottom
Step-by-step explanation:
Hope this helps give brainliest if you can
Mr Kinney biology class completed a lab to determine blood type. The results are reported in the frequency table. What is the relative frequency of a student having o type blood? 0.1 0.2 0.3 0.4
Answer:
o . ooo 2 and dr 45009.7 ok byy
Bags of sugar come in 3 sizes:
Small bag: A 250 g bag costs 85p.
Medium bag: A 500 g bag costs £1.90.
Large bag: A 3 kg bag costs £3.90.
Calculate the cost of 3 kg for the small and medium bags.
Give your answer in pounds to 2 dp.
Write the bag that is the better value in the comments.
Answer:3kg of small bag costs £10.20 while 3kg of the medium bag costs £11.40. Hence, the bag with better value which is the cheapest is a 3kg of the big bag which costs £3.9
Step-by-step explanation:
Mr Davis buy 5 packages of the packages A glue sticks Mr Wilson buy 8 packages of the package b glue sticks use ur equator find the difference in the total
Answer:
5a - 8b
Step-by-step explanation:
Mr Davis buys 5 package of a glue stick
= 5a
Mr. Wilson buys 8 packages of b glue sticks
= 8b
Therefore the difference in the total is
5a-8b
I need help to do this dont know how to do!
Answer:
Step-by-step explanation:
Even I need help with that
Which expression is equivalent to 3y+4+y
Which function is graphed below?
Answer:
B: y= 3(1/3)^x
Step-by-step explanation:
I graphed it on Desmos
The slope of a line is 1/3.
What is the slope of a line perpendicular to this line?
Answer:
-3
Step-by-step explanation:
Slopes of a perpendicular line are the opposite reciprocal.
So, the opposite of 1/3 is -1/3.
Then the reciprocal of -1/3 is -3 (since -3 is -3/1).
I DONT WANT HOW TO DO IT JUST THE ANSWER
Answer:
87.5
Edited: Yea should be 56, misread it LOL.
Appoligise to that silly mistake
Step-by-step explanation:
Kate bought a house for 198,000 and then sold it for 230,000 when you’re later. What is the profit as a percentage?
Answer:
16.16%
Step-by-step explanation:
calculate the percent change
4) Round 694,553 to the nearest hundred thousand. O 600,000 O 694,600 O 695,000 O 700,000
Answer:
700,000
Step-by-step explanation:
Pleaseeee helpppp it’s due in 6 minutes helpp!! Explain
Answer:
I might be wrong but since ur in a rush: 173
Step-by-step explanation:
Answer:
287.25 miles in 5.75 hours
Step-by-step explanation:
so he was first driving at 48mph because 168/3.5=48
5 miles per hour faster than that is 53mph
53*2.25=119.25
then we add 119.25 and 168
Choose the linear Inequality that describes the graph. The gray area represents the shaded region.
Answer:
3
Step-by-step explanation:
the y axis
IN 2013 The number of students in a small school is 284. it is estimated that the student population will increase by 4% every year. write formula for student population and estimate student population in 2020
Answer:
Amount = Initial value × (1 + rate of interest)^years and 374
Step-by-step explanation:
The formula to determine the student population and the estimated student population is given below:
As we know that
Amount = Initial value × (1 + rate of interest)^years
= 284 × (1 + 0.04)^7
= 284 × 1.04^7
= 373.72
= 374
PLEASE HELP ME I WILL GIVE BRAINLIEST
Answer:65
Step-by-step explanation:
Taco Bell had 60 orders. 60% were tacos and 40% were burritos. How many tacos is that?
Answer:
60% of 60 is 36. The answer should be 36
Step-by-step explanation:
60 / 100 * 60
0.6 * 60
36
Just divide the number by 100 and multiply it by the percentage.
Mark me as brainliest if you want to.
Simplify the following by collecting like terms
9x+x-4x
Answer:
[tex]9x + x - 4x = 6x[/tex]
they're all like terms so we just add and subtract
15) Volume of a cuboid with base area 500 m2 and height 4m is. with steps
Answer:
Volume of cuboid = 2000 m³
Step-by-step explanation:
Given the following data;
Base area = 500 m²
Height = 4m
To find the volume of a cuboid;
The volume of a cuboid is given by the formula;
Volume of cuboid = length * breadth * height
But remember, base area = length * breadth
Therefore, the volume of the cuboid becomes;
Volume of cuboid = base area * height
Substituting into the equation, we have;
Volume of cuboid = 500 * 4
Volume of cuboid = 2000 m³
26 is 65% of what number?
Answer:
40
Step-by-step explanation:
26 is 65% of 40
an expression to represent ( w increased by 5 )
Answer:
W + 5
Step-by-step explanation:
Given a number, W
An increase in W by a constant 5 ; can be expressed as ;
W plus the constant value increase
Hence,
Increase in W by 5 equals ;
W + 5
What are the coordinates of B’ if Triangle ABC is reflected over the x-axis?
Answer:
the coordinates of b if it is reflected over the x-axis (-2,5)
Which parametric equations represent (x + 1)2 + (y – 3)2 = 16
PLEASE HELP WILL GIVE BRAINLIEST
x = 8cos(t) – 1 and y = 8sin(t) + 3
x = –cos(t) + 8 and y = 3sin(t) + 8
x = 4cos(t) – 1 and y = 4sin(t) + 3
x = –cos(t) + 4 and y = 3sin(t) + 4
Answer:
x = 4cos(t) – 1 and y = 4sin(t) + 3
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In which:
The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:
[tex]x(t) = r\cos{(t)} + x_0[/tex]
[tex]y(t) = r\sin{(t)} + y_0[/tex]
In this question:
[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]
This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:
x = 4cos(t) – 1 and y = 4sin(t) + 3
by what percent would a number change if it increased by 5% and the result was also increased by 5%
Answer:
10.25%
Step-by-step explanation:
imagine the number is 100. Increase that by 5% so multiply 100 by 105%. This equals 105. Then increase 105 by 5% so multiply 105 by 105%. This equals 110.25. The original number was 100 so 110.25-100= 10.25. 10.25/100= 10.25%
Hope this is correct :) I'm rly not sure now
Answer:
10%
Step-by-step explanation:
I NEED HELP PLZ WILL GIVE BRAINLYIST FOR CORRECT ANSWER (NO LINKS)
Answer:
Carter scored 21 points
Step-by-step explanation:
If Denise scored 3 fewer points, then you would add three to 18 to get the number of points that Carter scored.
18 + 3 = 21
Bro pls help em bro pls help me bro
Answer:
Step-by-step explanation:
can someone do this for me
Answer:
Step-by-step explanation:
A tree initially measures 40 1/2 feet tall. Over the next 7 1/2 years, it grew to a final height of 57 feet. During those 7 1/2 years, what was the average yearly growth rate of the height of the tree?
Answer:
OK I will dot this after getting 10 followers
Answer:
deez
Step-by-step explanation:
What is the height of cylinder pictured below?
144
12
8
54
Answer:
B. 12 in.
Step-by-step explanation:
Diameter = 5 in.
Diagonal = 13 in.
Apply Pythagorean theorem to find the height of the cylinder.
Thus:
13² - 5² = height²
144 = height²
√144 = height
12 in. = height
Answer:
B. 12 in.
Step-by-step explanation: