Answer:
13.7 (nearest tenth)
Step-by-step explanation:
13.7142857143 is the full answer
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes. Round yours answers to 4 decimal places. (a) What is the probability that more than three customers arrive in 10 minutes
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
Which is the value of the expression? (-2) to the fourth power
A. -16
B. -8
C. 8
D. 16
Answer:
Variant D
Step-by-step explanation:
-2*(-2)*(-2)*(-2)=16
I NEED TO KNOW KNOW PLEASEEE
Answer:
2624
Step-by-step explanation:
30 * 64 = 1920
64 * 22 (1/2) = 704
1920 + 704 = 2624
i hope this helps, good luck :)
Evaluate the expression
Answer:
32
Step-by-step explanation:
4 to the third power is 64
(7-3) = 4
*2
64/4*2 = 32
Hope this helps
what is w divided by 6=7
Answer:
42
Step-by-step explanation:
w/6 = 7
multiply both sides by 6
w = 42
17 > 4x
• A) X= 4
- B) x = 5
• C) x = 6
• D)x=7
Answer:
La D
Step-by-step explanation:
porque la variable de divide
A population of 2000 fish increases at an annual rate of 7.5%. Write the model, then predict how
many fish will there be in 10 years?
Answer:
The model is [tex]P(t) = 2000(1.075)^{t}[/tex].
There will be 4122 fish in 10 years.
Step-by-step explanation:
Exponentially increasing population:
An exponentially increasing population can be represented by the following model:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(t) is the population after t years, P(0) is the initial population, and r is the growth rate, as a decimal.
A population of 2000 fish increases at an annual rate of 7.5%.
This means that [tex]P(0) = 2000, r = 0.075[/tex]
So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 2000(1+0.075)^t[/tex]
[tex]P(t) = 2000(1.075)^{t}[/tex]
This is the model.
How many fish will there be in 10 years?
This is P(10).
[tex]P(t) = 2000(1.075)^{t}[/tex]
[tex]P(10) = 2000(1.075)^{10} = 4122[/tex]
There will be 4122 fish in 10 years.
awser the circled question
Answer:
7.5
Step-by-step explanation:
if one square is unit then use area formula for a right triangle which is 1/2bh
since height is 5 and base is 3, 5*3= 15 and 15/2= 7.5
hope this helps
Please help, geometry homework. Answer true or false for the following statements. The ones that are marked “ T” or “ F “ are already done, if I am wrong, please let me know.
I need help with this is this complementary or supplementary or nither
Mr. Gardener invested $500.000. His annual interest was $40.000. What was the annual interest rate?
Answer:
8% per year
Step-by-step explanation:
............
Guys I need help what is 6 divided by 398
Given the equation 14 - 4x = 26
Answer:
-3
Step-by-step explanation:
can you mark me brainliest
Answer:
x=-3
Step-by-step explanation:
14-4x=26
-14 -14
-4x=12
/-4 /-4
x=-3
Ms. Ortiz borrows $2.50 every day for a school week (5 days) to buy a bacon egg and cheese. How much does
she owe by the end of the week? (Use negative numbers to show how much she owes
It’s multiplying signed numbers
Answer: She will owe $12.50 at the end of the week, and her account balance will be -12.50 dollars.
Step-by-step explanation:
A school week is 5 days. If Ms. Ortiz borrows $2.50 every day, then we will have to multiply 2.50 by 5 to find how much Ms. Ortiz owes at the end of the week.
2.50 x 5 = 12.5, or $12.50.
Therefore, Ms. Ortiz owes $12.50 at the end of the week, and her account balance will be -12.50.
What is the value of
7/3 divided by 5/6
Answer:
multiply the dividend denominator by the divisor numerator to make a new denominator:
7 x 6
3 x 5
=
42
15
Thus, the answer to 7/3 divided by 5/6 in fraction form is:
42
15
To make the answer to 7/3 divided by 5/6 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
42/15 = 2.8
The answer is rounded to the nearest four decimal points if necessary.
42/15 can be simplified to 14/5.
14/5 is an improper fraction and should be written as 2 4/5.
Step-by-step explanation:
42/25 = 2 4/5 = 2.8 is the value of 7/3 divided by 5/6 .
Here, we have,
given that,
7/3 divided by 5/6
so, we get,
7/3 / 5/6
=7/3 x 6/5
multiply the dividend denominator by the divisor numerator to make a new denominator:
7 x 6/3 x 5
= 42/15
Thus, the answer to 7/3 divided by 5/6 in fraction form is:
42/15
To make the answer to 7/3 divided by 5/6 in decimal form, we simply divide the numerator by the denominator from the fraction answer above:
42/15 = 2.8
The answer is rounded to the nearest four decimal points if necessary.
42/15 can be simplified to 14/5.
14/5 is an improper fraction and should be written as 2 4/5.
Learn more about the Division here:
brainly.com/question/22357901
#SPJ6
The length of a rectangle is four times its width. If the area of the rectangle is 100in2 , find its perimeter.
Help for brainliest !!
Answer:
I think the option b
But not sure about it
Answer:
A. 5/9 square meters
Step-by-step explanation:
Given
Length (L) = 5/6 meter
Breadth (b) = 2/3 meter
Now
Area of the garden
= L * b
= 5/ 6 * 2 / 3
= 5 / 9 square meters.
Hope it will help :)
Find each angle measure to the nearest degree please help
9514 1404 393
Answer:
4°48°Step-by-step explanation:
The inverse cosine function of your calculator is used to find the angle from the cosine value. (Be sure your calculator is set to 'degrees' mode.)
1) A = arccos(0.9976) ≈ 4°
2) U = arccos(0.6691) ≈ 48°
Does anyone wanna help me?
Answer:
The correct answer is Lorenzo
Aubree is going to invest in an account paying an interest rate of 1.5% compounded quarterly. How much would Aubree need to invest, to the nearest dollar, for the value of the account to reach $5,600 in 16 years?
Answer:
p=4407
Step-by-step explanation:
Answer:
22.2
Step-by-step explanation:
for nearst tenth
Please answer question for my friend, Will mark brainliest.
A bottle of orange juice says it contains 200 milligrams of vitamin C, which is 200% of the daily recommended allowance of vitamin C for adults. What is 100% of the daily recommended allowance of vitamin C for adults?
Answer:
im guessing 100 milligrams of vitamin c
Step-by-step explanation:
Answer:
100 mg
Step-by-step explanation:
you could think of it like this: if you divide 200mg and 200% both by two you get 100mg for 100%
A cylinder and its dimensions are shown in the diagram.
Which equation can be used to find v, the volume of the cylinder?
5 in.-
A v = 7(2.5h)
B v = (5h)?
ע
C v= *(2.5) n
Dv = (5)n
h in.
What is the volume of the cylinder? Round to the nearest tenths. Show your work.
Answer:
C. V = π(2.5)²h
Volume = 19.6h
Step-by-step explanation:
Radius (r) of cylinder = ½ of 5 = 2.5 in.
Height (h) = h in.
Volume of a cylinder = πr²h
Equation that can be used to find B:
Plug in the values into the volume formula
V = π(2.5)²h
Volume = 19.6h
A penguin starts at 15 meters above sea level and ends at 7 meters below sea level. What is the change in elevation?
Answer:
22 meters
Step-by-step explanation:
If the penguin goes from 15 meters above sea level to sea level (0 meters), they traveled 15 meters in elevation.
Then they traveled another 7 meters when going 7 meters below sea level.
15 + 7 = 22
Hope this helps :)
find the slope of the line
Answer:
The slope of the line is: 1
Step-by-step explanation:
Use the equation
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
Use the two sets of points given to you to slve the equation.
Assign the points their variables:
x1 y1 x2 y2
(4, 4) (8, 8)
Insert the numbers into the equation:
[tex] \frac{8 - 4}{8 - 4} [/tex]
Simplify:
[tex] \frac{4}{4} = 1[/tex]
what wasbthe high temperature bon the 6th day of the trip
Estimate the sum or difference.
7/8-1/5
Answer:27/40
Step-by-step explanation:
7/8-1/5
35/40-8/40=27/40
(-2+6y+3x)(-3) distributive property to remove the parentheses
Answer:
6-18y-9x
Step-by-step explanation:
is 15.09 less than 12.63
Answer: No
15.09 is greater than 12.63
A supermarket has found that the relationship between a day's high temperature and the amount of money taken in on that day from frozen yogurt sales can be modeled by the equation y = 4x + 164, where x is the high temperature in degrees Fahrenheit and y is the amount taken in from frozen yogurt sales in dollars. Which of these statements is true according to the model?
Answer:
On a day when the high temperature is 79° F, the supermarket can expect to take in $380 in frozen yogurt sales.
Step-by-step explanation:
What is the face value of 2 in the number 286?
Answer:
200 or 2 I guess
Step-by-step explanation:
Ion really get wym by “ what is the face”