Answer:
The probability that, in any hour, less than 2 customers will arrive is 0.0067.
Step-by-step explanation:
The random variable X can be defined as the number of customers arriving hourly at the drive-through window at the Fidelity Credit Union.
The random variable X describes a finite number of occurrences of an event in a fixed time interval.
The random variable X follows a Poisson distribution with parameter λ = 7.1.
The probability mass function of X is:
[tex]P(X=x)=\frac{e^{-7.1}(7.1)^{x}}{x!};x=0,1,2,3...[/tex]
Compute the probability of less than 2 customers arriving as follows:
[tex]P(X<2)=P(X=0)+P(X=1)[/tex]
[tex]=\frac{e^{-7.1}(7.1)^{0}}{0!}+\frac{e^{-7.1}(7.1)^{1}}{1!}\\\\=0.00083+0.00586\\\\=0.00669\\\\\approx 0.0067[/tex]
Thus, the probability that, in any hour, less than 2 customers will arrive is 0.0067.
What is the area of a rectangle with width 5x and length x2 + 4x + 4?
Answer:
It's 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
3. Suppose a country consists of 35 states, each of which is assigned a certain number of electoral votes. How many vote orders would we need to consider in order to calculate the Shapley-Shubik index for each state?
A) 2^35
B) 2^35–1
C) 35!
D) 35! –1
Answer:
The answer to this would be 2^35-1
Step-by-step explanation:
A satellite 200 miles above the earth is orbiting the earth once every 6 hours. How far does the satellite travel in 1 hour?
(Assume the radius of the earth is 4,000 miles.) Give your answer as both an exact value and an approximation to three significant digits
Answer:
The answer is below
Step-by-step explanation:
Speed is the ratio of total distance travelled to total time taken to cover distance.
The radius of the orbit = radius of earth + height of satellite from earth = 4000 miles + 200 miles = 4200 miles
The total distance around the orbit = perimeter of orbit = 2π(radius of orbit) = 2π(4200) = 8400π miles
[tex]Speed=\frac{distance \ traveled}{time\ taken} =\frac{8400\pi\ miles}{6\ hours} =1400\pi\ miles/hour\\\\Distance \ traveled\ in \ 1\ hour=1400\pi\ miles/hour*1\ hour=1400\pi\ miles=4398.23\ miles\\\\Distance=4398\ miles[/tex]
Suppose you have 3 quizzes and want an average of 7 points. List at least five ways this average can be accomplished. keep in mind that each score can be no more than 10 points.
Answer:
4,9,8 = 4+9+8 = 21
9,9,3 = 9+9+3 = 21
6,7,8 = 6+7+8 = 21
8,8,5 = 8+8+5 = 21
5,7,9 = 5+7+9 = 21
Step-by-step explanation:
The question says you get 7 points per quiz out of 3 quizzes.
7+7+7 = 21
Now that we know that we need a total score of 21, we therefore need to distribute it among the three quizzes.
Remember;
None of these scores are to be higher than 10. We need to add up scores below 10.
4,9,8 = 4+9+8 = 21
9,9,3 = 9+9+3 = 21
6,7,8 = 6+7+8 = 21
8,8,5 = 8+8+5 = 21
5,7,9 = 5+7+9 = 21
All of these gives 7 as average.
Is 3 cups to 2 cups proportional
Point A is located at negative 6 over 8 and point B is located at negative 1 over 8. What is the distance between points A and B? negative 6 over 8 plus negative 1 over 8 = negative 7 over 8; therefore, the distance from A to B is absolute value of negative 7 over 8 equals negative 7 over 8 units negative 6 over 8 plus negative 1 over 8 = negative 7 over 8; therefore, the distance from A to B is absolute value of negative 7 over 8 equals 7 over 8 units negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals 5 over 8 units
Given:
Point A is located at [tex]-\dfrac{6}{8}[/tex].
Point B is located at [tex]-\dfrac{1}{8}[/tex].
To find:
The distance between points A and B.
Solution:
We know that,
Distance between points A and B = Location of A - Location of B
Using this given values, we get
Distance between points A and B [tex]=-\dfrac{6}{8}-\left(-\dfrac{1}{8}\right)[/tex]
[tex]=-\dfrac{6}{8}+\dfrac{1}{8}[/tex]
[tex]=\dfrac{-6+1}{8}[/tex]
[tex]=-\dfrac{5}{8}[/tex]
Distance cannot be negative. So, we need to find the absolute value of [tex]-\dfrac{5}{8}[/tex].
[tex]|-\dfrac{5}{8}|=\dfrac{5}{8}[/tex]
The distance between A and B is [tex]\dfrac{5}{8}[/tex].
Therefore, the correct option is D.
What is the real part of the complex number when 4 plus 5i is multiplied with 2 minus i?
3 + 6i
13 + 6i
13
3
6
6i
Answer:
What I do not understand what you are asking, can you repeat it pls.
Step-by-step explanation:
-A clock's battery is running low. Every 6 hours, its slows down by 1/2 hour. By how much did it slow
down in 1 hour?
Hi!
If its running low and every six hours it slows down half an hour, we need to divide 6 from 1/2 (or in another form if you have a regular calculator, 0.5).
6 divided by 1/2 is 12 (or , in decimal form).
So your answer would be: It will slow down 12 minutes every hour.
Hope this helps!
-18+-6 please help
Answer:
-24
Step-by-step explanation:
If you are struggling with this here's a tip!
-18+-6 is what you are trying to solve
The 6 is negative, so get rid of the plus sign -18-6
2 negative numbers are just added like positive numbers
So add 18 and 6, you should get 24
Don't forget about the negative!
-24
Find the x-coordinates of all local maxima using the second derivative test. f(x)=x3+4x2+10 If there are multiple values, give them separated by commas. If there are no local maxima, enter ∅.
Answer:
f(x) = x³ +4x²+10
f'(x) = 3x²+8x
the critical point is that x value that has zero to be the first derivative function
3x²+8x = 0
when we factorize
x(3x+8) = 0
x = 0
3x+8 = 0
3x = -8
x = -8/3
at critical point when f"(x)>0, that is our minima
when f"<0 that is the maxima
f'(x) = 3x²+8x
f''(x) = 6x + 8
f"(0) = 8>0
the point x = 0 is minima point
f"(x) = -8/3 = -8<0 is Maxima
x coordinate of maxima = -8/3
5/8 divided by 1/4 I would like to see how smart you all are?
Answer:
2.5
Step-by-step explanation:
good luck :)
The Complex Conjugate of 2 + 5i is equal to: _______+_________i
Answer:
2 - 5i
Step-by-step explanation:
For any complex number like say "z" written in rectangular form as;
z = a + ib, then from definitions the complex conjugate is given by the relation:
z* = a − ib
Now, from our question, we want to find the complex conjugate of 2 + 5i.
From the relationship above, it's clear that the complex conjugate here is;
2 - 5i
Suppose that 28 crayons, of which four are red, are divided randomly among Jack,Marty, Sharon, and Martha (seven each). If Sharon has exactly one red crayon, what is the probability that Marty has the remaining three?
Answer:
0.0263
Step-by-step explanation:
Solve for the variable : 5y+6=3(y+4)
Answer:
y = 5
Step-by-step explanation:
Answer:
Y=3
Step-by-step explanation:
You would want to multiply y and 4 by 3.
5y+6=3(y+4)
×3 ×3
5y+6=3y+12
Now you want to have y by itself. You can first subtract 6 for starters.
5y+6=3y+12
-6 -6
5y=3y+6
5y=3y+6
-3y -3y
2y=6
Now you would want to divide.
2y=6
÷2 ÷2
y=3
You're answer would be y=3.
HELP ME ASP PLZ
Which model represents the product Three-fourths times one-third ?
1. A model with 12 squares. 2 squares are light purple, 1 square is dark purple, and 3 squares are grey.
2. A model with 12 squares. 3 squares are light purple, 6 squares are dark purple, and 2 squares are grey.
3. A model with 8 squares. 3 squares are light purple, 3 squares are dark purple, and 1 square is grey.
4. A model with 12 squares. 6 squares are light purple, 3 squares are dark purple, and 1 square is grey.
Answer:
b
Step-by-step explanation:
A banquet hall is divided into two sections that both have tables with chairs arranged around them. In the smaller section, there are 9 tables with 6 chairs each. In the larger section, there are currently 4 tables with 8 chairs each. More tables, each with 8 chairs, will be added to this larger section so that there will be 126 total chairs in the banquet hall. Which equation could be used to determine how many more tables, t, each with 8 chairs, are needed in the larger section?
Answer:
The equation that could be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section is
8t + 86 = 126 OR 8t = 40
Step-by-step explanation:
From the question,
In the smaller section of the banquet hall, there are 9 tables with 6 chairs each.
This means there are 9 × 6 chairs there
9 × 6 = 54
Hence, there are 54 chairs in the smaller section of the banquet hall.
Also, from the question,
In the larger section of the banquet hall, there are currently 4 tables with 8 chairs each.
This means there are 4 × 8 chairs there presently
4 × 8 = 32
Hence, there are currently 32 chairs in the larger section of banquet hall.
From the question,
More tables, each with 8 chairs, will be added to this larger section so that there will be 126 total chairs in the banquet hall.
If t more tables are to be added,
This means that t × 8 (8t) chairs will be added to the larger section so that there will be 126 total chairs in the banquet hall.
The total chair in the banquet hall will be = Total number of chairs in the smaller section + Current number of chairs in the larger section + Number of chairs to be added to the larger section
Therefore,
126 = 54 + 32 + 8t
126 = 86 + 8t
Then,
8t + 86 = 126
8t = 126 - 86
8t = 40
This equation can be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section.
Hence, the equation that could be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section is
8t + 86 = 126 OR 8t = 40.
If desired,
8t = 40
t = 40/8
t = 5
Hence, 5 more tables are needed in the larger section.
A survey of 1282 student loan borrowers found that 440 had loans totaling more than $20,000 for their undergraduate education. Give a 98% confidence interval for the proportion of all student loan borrowers who have loans of $20,000 or more for their undergraduate education. (Give answers accurate to 3 decimal places.)
Answer:
The 98% confidence interval of the proportion = (0.312, 0.374)
Step-by-step explanation:
(Give answers accurate to 3 decimal places.)
The formula for Confidence Interval of Proportion is given as:
p ± z × √p(1 - p)/n
Where p = Proportion = x/n
x = 440
n = 1282
p = 440/1282 = 0.34321372854
Approximately = 0.343
z = z-score of 98 % confidence interval
= 2.326
Confidence Interval =
= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282
= 0.343 ± 2.326 × √0.225351/1282
= 0.343 ± 2.326 × √0.00017578081
= 0.343 ± 2.326 × 0.01325823555
= 0.343 ± 0.03083865589
0.343 - 0.03083865589
= 0.31216134411
Approximately = 0.312
0.343 + 0.03083865589
= 0.37383865589
Approximately to = 0.374
Therefore, the 98% confidence interval of the proportion = (0.312, 0.374)
Create an equation with at least two grouping symbols for which
there is no solution
Determine if the sequence 2, 8, 17, 29, ... is arithmetic. If it is, determine the first term a and the common difference d.Is the sequence 2, 8, 17, 29, ... arithmetic?
Answer:
Yes
Step-by-step explanation:
Starting with 2, the step to the next number is 6. Each step increases by 3.
When you are on 8, the next step is an increase of 9. The next step is an increase of 12, The next step not shown would increase by 15 for give you 44.
So the first step would be 3 below the number 6 which would be subtracted from 2 to give you - 1 as your first starting point.
The common difference is 3(n) where n is an integer starting with 0 and incrementing by 1 with each new Y2 and Y1 is -1.
The equation Y2 = 3(n+1) + Y1 where n=0
I need help with question 11 pleaseeeeeee
Answer:
828 cubic units
Step-by-step explanation:
write a verbal expression for x+y
Answer:
x plus y
Step-by-step explanation:
self explainatory
19 and 1 half as an improper fraction
PLZ HELP 10 points
Answer:
The mixed number 9 1/2 is equivalent to the improper fraction 19/2.
Step-by-step explanation:
Pls make me brainliest
Answer: 39/2
Step-by-step explanation:
Multiply 19 by 2
19x2=38
add the 1 from the 1/2
1+38=39
39/2 is your answer
–8(n + 7) >-96??????????????
Answer:
D) n<5
Step-by-step explanation:
Write the equation of the line that passes through the points (-9, -3) and (-7, 7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line. क Answer: Submit Answer attempt out of 2 Type here to search O in G
Answer:
5x-y +42=0
Step-by-step explanation:
Using m=Y2- Y1
X2- X1
the slope of the line is found .
Put your answer in Y - Y1 = m( X - X1)
to get the equation
Solve for the indicated angle.
126°
?
A) 130°
C) 1240
B) 540
D) 51°
а
Ob
Oc
Od
Choice A
Choice B
Choice
Choice D
Question zo
Question 20
Answer:
(B) 54°
the angle you're searching is equal to the angel above 126° ( corresponding angle)
180° - 126° = 54°
Answer:
B
Step-by-step explanation:
Subtract 126 from 180 which gives 54
What would x be in px + 3 = k
Answer:
Step-by-step explanation:
k=3
What makes rational algebraic expression undefined?
a. When the numerator becomes 0
b. When the denominator becomes 0
c. When the value of the given variable is equal to O
d. When the restricted value is equal to 0
Answer:
The answer is B.
Answer:
when denominator becomes zero 0
Find the distance between Rockville and San Jose if they are in apart on a map with a scale of 2in:
25 mi
Answer with step-by-step explanation:
The distance between Rockville and San Jose is 2407.2. Since there are 63360 inches in a mile, we divide it by 2, which is 31680. We multiply 2407.2 by 31680, and get 76260096.
Sophia's building a skateboard ramp how many 2/5 ft long pieces can she cut from a 4 ft piece of wood what is the division expression
A. 1/4 divided by 2/5
B. 2/5 / 1/4
C. 2/5 / 4
D. 4 / 2/5
Answer:
D. 4/(2/5)
Step-by-step explanation:
For example, if the wood was 8ft long, and was cut into 4 foot long segments, you would divide 8 by 4 to get 2, which is the logical answer. Use the same thinking here. In other words, divide the large piece into smaller pieces.
For this one, divide 4 (large) by 2/5 (small).
If simplification is needed you can make 10 pieces.
PLEASE HELP ME!!!!!!!!!!!!!!
Barbara was baking a cake and could not find her tablespoon measure. The recipe calls for 3 1/3 tablespoons. How many teaspoons must Barbar use in order to have the recipe turn out all right?
a
6
b
3
c
9
d
10
Answer:
D
Step-by-step explanation:
one tablespoon is three teaspoons
do the multiplication and boom
Answer:
D. 10
Step-by-step explanation:
1 tablespoon = 3 teaspoons
