Answer:
0.7788 = 77.88% probability that more than three customers arrive in 10 minutes
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
In this question, we have that:
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that [tex]m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833[/tex]
(a) What is the probability that more than three customers arrive in 10 minutes
This is P(X > 3). So
[tex]P(X > 3) = e^{-0.0833*3} = 0.7788[/tex]
0.7788 = 77.88% probability that more than three customers arrive in 10 minutes
4x2 – 13x = 7x – 25
solve an equation with two real solutions practice
Answer:
x=2.5
Step-by-step explanation:
bring all terms to one side
[tex]4x^{2} -20x+25=0[/tex]
factor it
[tex](2x-5)^{2}=0[/tex]
2x-5=0
2x=5
x=2.5
Answer:
20/33
Step-by-step explanation:
4*2-13x=7x-25
8-13x=7x-25
(subtract 7 x's)
8-20x= -25
(subtract 8)
-20x= -33
Can y’all help me on question 4?! I would really appreciate it have a good day!
Answer:
15:2
Step-by-step explanation:
If you take 45 / 6 you will end up with 7.5
You can't have a ratio with a fraction. So to get a whole number you multiply 7.5 by 2 to get a full number. Therefore 15:2
9514 1404 393
Answer:
D. Volcanic Gray
Step-by-step explanation:
The ratio of paint used is ...
black : white = (4 gal) : (1/2 gal) = 8 : 1 . . . . . . multiply given numbers by 2
This matches the ratio in the table for Volcanic Gray.
1) (35 + 17) + 43 = 35+ (17 + 43)
Answer:
95?
Step-by-step explanation:
Using the compound interest formula, the "n" is what value when compounded annually?
Answer:
n=1
Step-by-step explanation:
N is the number of times per year
Annually would be one time per year so n =1
Answer:
If interest is compounded yearly, then n = 1; if semi-annually, then n = 2; quarterly, then n = 4; monthly, then n = 12; weekly, then n = 52; daily, then n = 365; and so forth, regardless of the number of years involved. Also, "t" must be expressed in years, because interest rates are expressed that way.
Step-by-step explanation:
It's a snip-it from the web, but it worked for me.
Mike bakes 24 cookies for some friends. He gives the same number of cookies to 2 friends. How many cookies c does each friend receive? Write an equation to represent the number of cookies each friend receives.
Answer:
12 cookies for both friends (assuming you don't get any)
Step-by-step explanation:
24/2=12
since you seem like a kid, that slash means divided by
A bag contains tiles number 1-10. What is the probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3?
Answer:
0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of independent events:
Suppose we have two events, A and B, that are independent. The probability of both happening is given by:
[tex]P(A \cap B) = P(A) \times P(B)[/tex]
In this question:
Event A: Selecting a prime number.
Event B: Selecting a number less than or equal to 3
Probability of selecting a prime number:
Between 1 and 10, we have 4 prime numbers(2,3, 5 and 7), out of 10. So
[tex]P(A) = \frac{4}{10}[/tex]
Probability of selecting a number less than or equal to 3:
Three numbers(1,2,3) out of 10. So
[tex]P(B) = \frac{3}{10}[/tex]
Probability of both:
[tex]P(A \cap B) = P(A) \times P(B) = \frac{4}{10} \times \frac{3}{10} = \frac{12}{100} = 0.12[/tex]
0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3
5(6p-3)-2 = 2(15p - 11)+5 one solution, no solution, infinite solution
Answer:
Step-by-step explanation:
Simplify the inequality:
-12.4x+8x > -0.4x-5.2-2.7
Answer:
x < 1.975Explanation:
-12.4x + 8x > -0.4x - 5.2 - 2.7
Add similar elements: -12.4x + 8x = -4.4x
-4.4x > -0.4x - 5.2 - 2.7
Subtract -5.2 - 2.7: -7.9
-4.4x > -0.4x - 7.9
Multiply both sides by 10
-4.4x · 10 > -0.4x - 7.9 · 10
Refine
-44x > -4x - 79
Add 4x to both sides
-44x + 4x > -4x - 79 + 4x
Simplify
-40x > -79
Multiply both sides by -1 (Reverse the inequality)
-40x (-1) > -79 (-1)
Simplify
40x < 79
Divide both sides by 40
40x / 40 < 79 / 40
Simplify
x < ⁷⁹⁄₄₀
Turn the fraction into a decimal
x < 1.975Which of the following coordinates is in the solution set of this system?
A. (0,0)
B. (-5,3)
C. (8,-8)
D. (1,-4)
E. (2,-5)
Answer:
B.
Step-by-step explanation:
Answer:
b ceguro
pa heart din plss
Help me pls pls pls pls
please help me if you can!!!
Answer:
I hope this helps.
Step-by-step explanation:
Use the formula for the volume of a triangular pyramid: V=13Ah , where A = area of the triangular base, and H = height of the pyramid.
If a triangle has angles of 40, 120, and 20 degrees, then it is called an_______ triangle.
Answer:
Obtuse
Step-by-step explanation:
1 angle over 90
Division of fractions
Answer:
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
Answer:
Dividing by fractions is just like multiplying fractions, except for one additional step. To divide any number by a fraction: First step: Find the reciprocal of the fraction. Second step: Multiply the number by the reciprocal of the fraction. Third step: Simplify the resulting fraction if possible.
Step-by-step explanation:
Hope this helps
Determine whether the following statement is true or false. If the statement is
false, make the necessary change(s) to produce a true statement.
WEC
Breakdown of Catholic Americans
by Party Affiliation and Gender
572 Democrats
294 Men
278 Women
1400 Catholic
Americans per 441 Republicans
235 Men
10,000 Adults
206 Women
1387 Independents <199 Men
188 Women
Let
c = the set of Catholic Americans
R = the set of Catholic Republicans
D = the set of Catholic Democrats
M = the set of Catholic Democratic men
W = the set of Catholic Democratic women
Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice, including any necessary set names.
O A. The statement is true.
OB. The statement is false. It should be changed to
Answer:
Step-by-step explanation:
No entendí °-°
A rectangle has a length of 16 inches and the length of the diagonal is 20 inches. What is the width of the rectangle
Answer:
12 inches
Step-by-step explanation:
1. The diagonal is the hypotenuse of the right triangle. so since we know one side length, we can figure out the other side length
1. 16^2 + x^2= 20^22. 256 + x^2=4003. x^2=1444. [tex]\sqrt{144}[/tex] = 12The new Nintendo game costs $70. The sales tax was 5%, what was the total cost?
Answer:
$66.50.
Step-by-step explanation:
Identify the domain, range and x-intercept of the function below.
5. The daily temperature recorded (in degree F) at a place during a week was as under:
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
35.5
30.8
27.3
32.1
23.8
29.9
Find the mean temperature.
Answer:
29.9 °F
Step-by-step explanation:
The formular for mean is given as;
Mean = Sum of Terms / Number of terms
Number of terms = 6
Sum of terms = 35.5 + 30.8 + 27.3 + 32.1 + 23.8 + 29.9 = 179.4
Mean = 179.4 / 6 = 29.9
There are 9 people in an office with 5 different phone lines. If all the lines begin to ring at once, how many groups of 5 people can answer these lines?
Answer:
1
Step-by-step explanation:
if it was 10 it would be 2, but it isnt. and it cant be a number with a decimal cause i would be surprised if a math problem has it where you cut people in half or portions
The pair of polygons is similar. Find the missing side measure. A) 7 B) 9 C) 13.5 D) 24
Answer:
24
Step-by-step explanation:
I did the math
Answer:
X=9
Step-by-step explanation:
Please this is due in 1 hr and8 minutes...
Please don’t answer this with one answer, blank or ridiculous answer this is serious....
Answer:
Side XY is 6 units
Step-by-step explanation:
The order of ∆ QRS will be the same as the order of ∆ XYZ and the corresponding order between the 2 are congruent.
Angle Q is congruent to angle X because they are listed first. Angle R is congruent to angle Y because they are listed second. Angle S is congruent to angle Z because they are listed third.
We can see that side QR is 6 units. The corresponding side on triangle XYZ is side XY.
if mia Khalifa was black what would her situation be
Answer:
i really don’t know
Step-by-step explanation:
that’s an interesting question
Answer:
i dont know but can we do rp on pad.let?
Step-by-step explanation:
What is the solution of this linear equation system? y = 3x-2 y-2 = x
Answer:
(2,4)
Step-by-step explanation:
Replace all occurrences of y with 3 x − 2 in each equation.
3x - 4 = x
y= 3x -2
Solve for x in the first equation.
x = 2
y = 3x - 2
Replace all occurrences of x with 2 in the equation.
y = 4
x= 2
The solution to the system is the complete set of ordered pairs that are valid solutions.
(2,4)
hope this helps :)
Probability tree diagram
Answer:
?
Step-by-step explanation:
can you explain a little more
Please help with these 4 pleaseeee!!!
Answer:
I only know the last one.
60 Rule: y=x10
Hope this helps
1FAIpQLSedW9GapWiDC2a GDq7zacl2q8GRC22fKMRIPSYONQVv3r3S5A/... ☆
1-7 Word Problem...
Your answer
1 point
You are building a deck onto your house. The deck will be 5 meters long
and 8 meters meters wide. How many square CENTIMETERS will the deck
cover? Answer with numbers only (commas are okay to include).
Your answer
4,000 CM^2
first you multiply 8 by 5 to find out the square meters then you Multiply 100 because that's how many centimeters are in a meter and that equals 4,000.
Please tell me the sum 3+5?
Answer:
5+3=8
Step-by-step explanation:
5+3=8
sum is adding
Answer:
The answer is 8
Step-by-step explanation:
Find the slope of the line parallel to y = -x – 4 CHECK!
Answer:
Slope: -x
Slopes in paralel lines are the same
Step-by-step explanation:
PLEASE HELP IN ONE MINUTE WILL MARK BRAINLIST
Answer:
1,-2 | -2,7 ????
Step-by-step explanation:
convert 10009 out of 17%
Answer:
Step-by-step explanation:
To convert 10,009 to 17%, turn 17% to decimal and multiply that by 10,009 (10,009 * 0.17), which equals 1,701.53
IF you meant to convert the fraction 10,009/17% (read as "10,009 out of 17 percent, ") then simply convert 17% to a decimal (0.17) and divide 10,009 by 0.17 (10,009/0.17) which is about 58,876.47, for full decimal, use a calculator and do 10,009/0.17
The question is kind of confusing so tell me what you meant
