The question is incomplete. Here is the complete question.
Nite Time Inn has a toll-free telephone number so that customers can call at any time to make a reservation. A typical call takes about 4 minutes to complete, and the time required follows an exponential distribution. find the probability that a call takes
a) 3 minutes or less
b) 4 minutes of less
c) 5 minutes of less
d) Longer than 5 minutes
e) Longer than 7 minutes
Answer: a) P(X<3) = 0.882
b) P(X<4) = 0.908
c) P(X<5) = 0.928
d) P(X>5) = 0.286
e) P(X>7) = 0.174
Step-by-step explanation: Exponential distribution is related with teh amount of time until some specific event happens.
If X is a continuous random variable, probability is calculated as:
[tex]P(X<x) = 1-me^{-mx}[/tex]
in which:
m is decay parameter, given by: [tex]m=\frac{1}{mean}[/tex]
For the Nite Time Inn calls:
[tex]m=\frac{1}{4}[/tex]
m = 0.25
(a) P(X<3)
[tex]P(X<3) = 1-0.25e^{-0.25.3}[/tex]
[tex]P(X<3) = 1-0.25e^{-0.75}[/tex]
[tex]P(X<3) = 1-0.25*0.472[/tex]
P(X < 3) = 0.882
The probability the call takes less than 3 minutes is 0.882.
(b) P(X<4)
[tex]P(X<4) = 1-0.25e^{-0.25.4}[/tex]
[tex]P(X<4) = 1-0.25e^{-1}[/tex]
P(X < 4) = 0.908
The probability the call takes less tahn 4 minutes is 0.908.
(c) P(X<5)
[tex]P(X<5) = 1-0.25e^{-0.25.5}[/tex]
[tex]P(X<5) = 1-0.25e^{-1.25}[/tex]
P(X < 5) = 0.928
The probability of calls taking less than 5 minutes is 0.928.
(d) P(X>5)
Knowing that the sum of probabilities of less than and more than has to equal 1:
P(X<x) + P(X>x) = 1
P(X>x) = 1 - P(PX<x)
[tex]P(X>x) = 1-(1-me^{-m*x})[/tex]
[tex]P(X>x)=me^{-mx}[/tex]
For P(X>5):
[tex]P(X>5) = 0.25e^{-1.25}[/tex]
P(X > 5) = 0.286
The probability of calls taking more than 5 minutes is 0.286.
(e) P(X>7)
[tex]P(X>7)=0.25e^{-0.25.7}[/tex]
[tex]P(X>7)=0.25e^{-1.75}[/tex]
P(X > 7) = 0.174
The probability of calls taking more than 7 minutes is 0.174.
(Y to the eighth power)(y to the second power) simpified
Answer:
y^10
multiplication of exponents is like addition, you just add exponents
please help if you can!!!!!!!
Answer:
-7
Step-by-step explanation:
hope this helps it might not be the right answer!
A stadium has 47000 seats seats sell for $35 in section a $30 in section B and 25 in section c the number of seats in section A equals the total number of seats in section B and C supposed to Stadium takes in 1483500 dollars from each sold-out event how many seats does each section hold
Answer: a section holds 11,750 seats
$1,483,500 from one sold out event
47,000 seats in total, 3 sections (A = B + C)
A = B*2, C*2
47,000 / 4 = 11,750
what is the approximate side length of a square game board with an area of 109 in
Answer:
10.4 inches
Step-by-step explanation:
The side lengths of a square are all equal. The formula to find the area of a square given a side length s is s².
s² = 109
Taking the square root gives us approximately 10.4 inches.
Identify which equation represents a line perpendicular to the given equation 2x+5y=25
Answer:
y = 5/2x + 5
y = 5/2x - 9.5
Step-by-step explanation:
We need to solve for the y in the expresion of 2x + 5y = 25
[tex]2x + 5y = 25\\y = (25 - 2x)/5 \\y = 5 - 2/5x[/tex]
now we re-arrenge the factors in the form y = ax + b
y = -2/5x + 5
we reverse "a"
y = 5/2 + a
And now, we use a point in the other formula to solve for a:
original line:
y = 5 - 2/5x
X = 0 then Y = 5
now we solve for the general equation of the perpendicular equation:
[tex]y - y_1 = m ( x - x_1)[/tex]
[tex]y - 5 = 5/2 (x - 0)\\y = 5/2x + 5[/tex]
If we use a different point we get a different formula:
original line:
y = 5 - 2/5x
X = 5 then Y = 3
[tex]y - 3 = \frac{5}{2}(x - 5)\\y - 3 = \frac{5}{2}x -12.5 \\y = \frac{5}{2}x - 9.5[/tex]
An Image is attached to represent
Calculate $1200 ÷ 415.00 = answer in weeks. Round your answer up to the nearest whole week.
Answer:
3 weeks
Step-by-step explanation:
[tex]\frac{1200}{415}\\\mathrm{Write\:the\:problem\:in\:long\:division\:format}\\415\overline{|\smallspace1200}\\\\\mathrm{Divide}\:1200\:\mathrm{by}\:415\:\mathrm{to\:get}\:2\\\\\begin{matrix}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\415\overline{|\smallspace1200}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\[/tex]
[tex]\mathrm{Multiply\:the\:quotient\:digit}\:\left(2\right)\:\mathrm{by\:the\:divisor}\:415\\[/tex]
[tex]\begin{matrix}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 415\overline{|\smallspace1200}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\space\space\space\space\underline{\emptyspace8\emptyspace3\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
[tex]\mathrm{Subtract}\:830\:\mathrm{from}\:1200[/tex]
[tex]\begin{matrix}\space\space\space\space\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 415\overline{|\smallspace1200}\space\space\space\space\space\space\space\space\space\space\space\space\space\\ space\space\space\space\space\space\underline{\empty\space8\empty\space3\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\emptyspace3\emptyspace7\emptyspace0\space\space\space\end{matrix}[/tex]
[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{1200}{415}\:\mathrm{is}\:2\:\mathrm{with\:remainder\:of}\:370\\\\2\quad \mathrm{Remainder}\quad \:370\\=2.89\\=3 weeks[/tex]
The square of the sum of a number and 11
Answer:
(n+11)^2
Step-by-step explanation:
Hope this helps!
Please help!! Almost my last question!! Will appreciate any help!!
O
O 5x 10-6
Which number is greatest?
2.89 x 10
O 1.997 x 102
O 8.9x10-6
Answer:
1.997 × 10^2
Step-by-step explanation:
I'm not sure but I believe this is the answer.
numbers that are multiplied to 10s raised to a negative number reduce in value.
Answer: 1.997 × 10^2
Step-by-step explanation:
please help and explain how you got your answer
ANSWER 32
(3p-6) is next to the right angle so I assume it is = to 90 degrees
(3p-6)=90 also means 3p=90+6 Which is 3p = 96
96/3 is 32
p = 32
for proof do
3 times 32 minus 6 and see if it = 90
I’m confused and need help
-2x2 - x + 7 +x2 +4x-5
Answer:
Need more?
Step-by-step explanation:
-x^2 + 3x + 2
Is this the answer?
Find the slope of the line shown
Answer: m= -1/2
Step-by-step explanation:
m is the gradient of a line. and the formula for gradient is (y2-y1)/(x2-x1)
first, find a point on the line, (-2,1) and that is equal to (x1,y1)
then find another point on the line, (2,-1) and that is equal to (x2,y2)
then substitute your points into the formula above and that is equal to
(-1-1)/(2-(-2))
= -2/4
= -1/2
that is your answer
HELP NEEDED ASAP PLEASE I’LL GIVE YOU BRAINLIEST
Answer:
d
Step-by-step explanation:
Answer:
D 3/4, 4/7, 7 2/3, -2(pie), -6.5
Am I correct for the value of x
Answer:
Step-by-step explanation:
65 + 79 + x = 180
144 + x = 180
x = 36°
Answer:
65+79+x=180
144+x=180
x=180-144=36.
The figure on the left shows a line segment 2 inches long forming a 45° angle with a dashed line whose length is not given. The figure on the right shows a compass set at a width of 1½ inches with its point on the top end of the 2−inch segment. An arc is drawn intersecting the dashed line twice.Complete the explanation of how you can use this figure to decide whether two sides and an angle not included between them can be used to form a unique triangle, more than one triangle, or no triangle. Part 1 out of 2 The two sides and angle can be used to form (select) .
AnswerMore than one Triangle :
Step-by-step explanation:
Answer:
more than 1 :)
Step-by-step explanation:
Jordan went to the amusement park with $50. He played 5 games each
costing $5. How much money is he left with?
25
O 20
-20
O 5
Answer:
he left with 0 dollars
Step-by-step explanation:
Please help!
What is g(f(4))=(g o f)(-2)=?
A.21
B.23
C.25
D.27
yo it mite be 23 have great day
Evaluate the expression. (p + q) 2− (5 − 5); use p = 1, and q = 1
THE CONTENTS OF THIS ANSWER CANNOT BE DISPLAYED ON YOUR DEVICE
Answer:
Below
Step-by-step explanation:
● (p+q) ×2 -(5-5)
● 2(p+q) - 0
● 2(p+q)
Replace p and q with 1
● 2 (1+1)
● 2 × 2
● 4
Can you help ASAP!!
WILL MARK YOU BRAINLIEST !!!
When factoring 6x^2−7x−20 by grouping, how should the middle term be rewritten?
It should be written as −x−7x.
It should be written as −2x−5x.
It should be written as 8x−15x.
It should be written as x−8x.
Answer:
It should be written as 8x-15x
Step-by-step explanation:
If you have any questions about the way I solved it, ask in the comments
Which of the following lists is in order from smallest to largest?
0.05, 0.2, 0.48, 0.6
0.2, 0.05, 0.48, 0.6
0.05, 0.2, 0.6, 0.48
0.2, 0.48, 0.05, 0.6
Answer:
The first one:
0.05, 0.2, 0.48, 0.6
Road brought d drawings to an art show. After selling 14 of them, she had 34 left. Identify the equation that represents this situation and the correct solution.
Answer:
d−14=34 shows that when we add sold drawing we get the total drawings
Step-by-step explanation:
We have been given that Rosa brought d drawings to an art show.
After selling 14 of them, she had 34 left.
We have to form a equation such that when we add 14 in 34 we get the total of drawings.
d-14=34d−14=34 (1)
Equation (1) shows that when we add sold drawing we get the total drawings
Answer:
d-14=34. 34+14=48. 48-14=34 which is our total
After a hurricane, a disaster area is divided into 200 equal grids. Thirty of the grids are selected, and every occupied household in the grid is interviewed to help focus relief efforts on what residents require the most. The sampling technique used is:_____.
A) Stratified Sampling.
B) Cluster Sampling.
C) Systematic Sampling.
D) Simple Random Sampling.
Answer:
B) Cluster Sampling.
Step-by-step explanation:
Cluster sampling refers to a methodology for probability sampling, in which researchers split the populace into several study groups or one can say clusters. And after this investigators pick random groups for collecting and analyzing data, using a systematic random or simple random sampling technique, depending on the research subject. As per the question, instead of 200 grids selected a cluster of 30 grids for the research and therefore it is a classic of cluster sampling.
write 100% as a decimal and as a fraction
middle school not high school.
9/3/20 ↑
Answer:
1.0 and 1/1
Step-by-step explanation:
Answer:
decimal : 1
fraction : 1
Step-by-step explanation:
Percentage is always out of 100
100%
to convert from percentage to a fraction, you just put 100 and the bottom of that number;
[tex]\frac{100}{100}[/tex] ; this is equal to 1
to convert percentages to a decimal, we divide by 100;
100 ÷ 100 = 1
Approximate V8 to the nearest hundredth. Show your work.
Please help
Here is a picture of you don’t understand the question ⬆️
Answer:
Um its 2.83
Step-by-step explanation:
This is a 5th grade quesion
The value of each digit in a number is known as the place value. The 5 in 350. The value of √8 rounded off to the nearest hundredth is 2.83.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so on.The tens mean multiply by 10.The tenth means the tenth part of that digit which is that digit divided by 10.Given √8 whose approximate values to its nearest hundredth can be written as,
The value of √8 = 2.8284271247
Round 2.8284271247 to its nearest hundredth.
We have,
2.8(2)84271247
2 is in the hundredth place.
We will round 284 to its nearest hundredth.
It will round to either 200 or 300.
Since it is 284 is more than 250 we will round to 300.
Therefore, 2.8300 is our answer.
Thus, the value of √8 rounded off to the nearest hundredth is 2.83.
Learn more about the Place Value here:
https://brainly.com/question/27734142
#SPJ2
Solve by completing the square.
X^2-2x-15=0 (help)
Step-by-step explanation:
x² - 2x - 15 = 0
x1 = 5
x2 = -3
what is deductive reasoning in geometry
22=a+20 one and two step equations
Answer:
a=2
Step-by-step explanation:
you take 20 and subtract it from both sides and then 22-20 is 2 so a equals to 2.
A scientist has placed 40 bacteria into a petri dish the bacteria will double every hour
Answer:
that will be 80 bacteria the next hour and just keep multiplying the number of bacteria by 2.
Step-by-step explanation:
Sue ran 2.1 miles on Monday, 1.25
miles on Tuesday and Wednesday,
3.75 miles on Thursday, and 2.5
miles on Friday. How far did she
run in all2
Answer:
10.6 miles
Step-by-step explanation:
I hope this helps you