The probability that the time between two arrivals is less than or equal to 1 minute is 0.42.
The time (in minutes) between arrivals of customers to a post office is to be modelled by the exponential distribution with mean 0.75.We are to calculate the probability that the time between two arrivals is less than or equal to 1 minute.We know that, for an exponential distribution, the probability density function is given by:f(x) = 1/μ e^(-x/μ)where μ is the mean of the distribution.In this case, μ = 0.75. Therefore, the probability density function is:f(x) = 1/0.75 e^(-x/0.75)To calculate the probability that the time between two arrivals is less than or equal to 1 minute, we need to integrate this probability density function from 0 to 1:f(x) = ∫0^1 1/0.75 e^(-x/0.75) dxf(x) = [-e^(-x/0.75)]0^1f(x) = -e^(-1/0.75) + e^(0)f(x) = 0.424Approximating this probability to two decimal places, we get:P(X ≤ 1) = 0.42 (rounded off to two decimal places).Therefore, the probability that the time between two arrivals is less than or equal to 1 minute is 0.42.
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Someone help plz and make plz make sure it’s right? :)
CNNBC recently reported that the mean annual cost of auto insurance is 958 dollars. Assume the standard deviation is 144 dollars, and that the population is normally distributed. You will use a simple random sample of 99 auto insurance policies. Note: You should carefully round any intermediate values you calculate to 4 decimal places to match wamap's approach and calculations. Find the probability that a single randomly selected policy has a mean value between 934.8 and 965.2 dollars. P(934.8 < X < 965.2) = Enter your answer as a number accurate to 4 decimal places
Probability that a single randomly selected policy has a mean value between $934.8 and $965.2 is approximately 0.5819.
To find probability we can use the properties of the normal distribution.
Given,
Mean (μ) = $958
Standard deviation (σ) = $144
Sample size (n) = 99
We want to find the probability P(934.8 < X < 965.2). X represents the mean value of a randomly selected policy.
Calculate z-score for the lower value.
z1 = (934.8 - μ) / (σ / sqrt(n))
Calculate z-score for the upper value.
z2 = (965.2 - μ) / (σ / sqrt(n))
Cumulative probability between the z-scores.
P(934.8 < X < 965.2) = P(z1 < Z < z2)
If P(Z < z1) = 0.2658. P(Z < z2) = 0.8477. The probability of interest would be.
P(934.8 < X < 965.2) = P(z1 < Z < z2) = P(Z < z2) - P(Z < z1) = 0.8477 - 0.2658 = 0.5819
Probability that a single randomly selected policy has a mean value between $934.8 and $965.2 is approximately 0.5819.
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Find the area of the following figure below. Use 3.14 for pie
Answer: 113.1 i think sorry im bad at pi U_U
Step-by-step explanation:
Answer:
113.04
Step-by-step explanation:
Where rinding area so do the formula
A = Pi×r²
A = 3.14×36
A= 113.04
Cardania bought a car for $12,000 ten years ago, and it has been depreciating (decreasing in value) at a rate of 8% per year since she drove it off the showroom floor.
How much is the car worth today (10 years after her purchase)?
Answer:
The car is worth about 5212.66$ 10 years after her purchase.
Step-by-step explanation:
12000(1-0.08)^10=5212.661451
Instructions: Write the equation of the line in Point-Slope Form given the information below. Hint: The y-intercept is the
coordinate point (0,b)
Slope= -6/5
Y-Intercept = 2
Point-Slope Form:
Answer:
y - 2 = -⁶/₅xStep-by-step explanation:
The point-slope form of the equation of the line passing point (x₁, y₁) and with the slope of m is: y - y₁ = m(x - x₁)
m = -⁶/₅
Y-Intercept = 2 ⇒ point (0, 2) ⇒ x₁ = 0, y₁ = 2
Point-Slope Form: y - 2 = -⁶/₅(x - 0)
Please someone help it confusing
1.false2.false3.true4.true5.true
Some instructions for the time it takes to roast a turkey are: allow 20 minutes for every 450g
How long will it take to roast a turkey that weighs 6.3 kg?
Give your answer in hours and minutes.
please show work out <3
Answer:
4 hours and 40 minutes
Step-by-step explanation:
450g = kg
450g = 0.45 kg
We will use ratios:
[tex]\frac{20}{0.45} =\frac{x}{6.3} \\\\0.45x=126\\x=280[/tex]
280 mins =
4 hours and 40 minutes
4(60) + 40
240 + 40
280
Need help on this one I really don’t get this
can someone please answer these
*will give brainliest if you answer all* AND NO LINK
Answer:
Rectangular Prism → h = 2in
B = 143in
P = 48in
Surface Area = 382in²
Lateral Surface Area = 96in²
Triangular Prism → h = 7in
B = 20in
P = 27in
Surface Area = 229in²
Lateral Surface Area = 189in²
Triangular Prism → h = 10in
B = 120in
P = 60in
Surface Area = 840in²
Lateral Surface Area = 600in²
Step-by-step explanation:
Formulas: Total Surface Area = 2B = Ph
a²+b²=c²
Area = [tex]\frac{1}{2}[/tex]bh
Lateral Area = Ph
PLUG NUMBERS INTO FORMULA. (I'm too lazy to type it all out lol)
Please answer correctly! I will mark you Brainliest! The pictures go together!
Answer: the volume of the cone is 21 inches cubed
Step-by-step explanation:
Answer:
65.97 or 65.96
Step-by-step explanation:
follow this picture and i want you to know that sometimes if you look it up and put in the info, it will be 1 or 2 off. sometimes it’s right. the actual formula for finding volume is V= 1/3h(pi)r and to the second power.
now i have no clue if i did this right but i will let you follow your instinct and whatever anyone else says! i’m sorry if this isn’t helpful but i tried by best at describing :)
help I will give brainiest if you do the last ones
which of the following expressions are equivalent to -2/3? select all that apply
A. -1/9 x 6
B. -15 ÷ 10
C. 12 ÷ -18
D. -3/4 ÷ 1/2
E. -8/9 x 3/4
Answer:
A.
C.
E.
Step-by-step explanation:
A
-1/9×6=
-1/9×6/1= -6/9 = -2/3
B
-15 ÷ 10
-15/1 ÷ 10/1
-15/1 × 1/10 = -15/10 = -3/2
C
12 ÷ -18 =
12/1 ÷ -18/1 =
12/1 × -1/18 = -12/18 = -2/3
D
-3/4 ÷ 1/2 =
-3/4 × 2/1 = -6/4 = -3/2
E
-8/9 × 3/4 = -24/36 = -2/3
Write the number for thirteen million thirty thousand
Answer:
13,030,000
Step-by-step explanation:
write first the value for thirteen millions,
13,000,000 and then also put down the thirty thousand which is; 30,000. afterwards add the two
13 000 000
+ 30 000
=. 13 030 000
Answer:
13,030,000
Step-by-step explanation:
13,000,000
+ 30,000
13,030,000
What is the volume of a cylinder with base radius 333 and height 666?
Answer:
V=πr2h=π·3332·666≈2.32013×108
Step-by-step explanation:
Yuri's homework grades for the 4th six-weeks were as follows: 67, 71, 49, 82, 87, 91, 78 What is the mean (average) of the following set of data? Round your answer to the nearest tenth of a decimal (one decimal place).
The mean of the data set would be 75.
What is the slope of the line shown in the graph?
Answer:
1/2
Step-by-step explanation:
from point to point, you rise by one and run to the right by two
therefore, slope = 1/2
52 )7,696 with reminder
2. A cereal box is in the shape of a rectangular
prism. What is the volume of the cereal box?
Express your answer as a decimal rounded
to the nearest tenth if necessary.
Answer:
169.8 or 169 4/5
Step-by-step explanation:
Times all of the numbers together
The volume of a rectangular prism can be written as 168 cubic in
What is the volume of a rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The volume of a rectangular prism=Length X Width X Height
WE are given the dimensions as;
length= 8 in
Width = 1 3/4 = 7/4
Height = 12 1/8 = 96/8 in
Thus, the volume of a rectangular prism can be written as:
8 x 7/4 x 96/8
= 168 cubic in
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Find the perimeter of the polygon if
5 cm
6 cm
7 cm
P = ? Cm
Answer:
(2) is the answer for your question
The school Amina goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Answer:
child = $14
senior = $8
Step-by-step explanation:
3s + c = 38
3s + 2c = 52
52 - 38 = 14
child = $14
3s + 14 = 38
3s = 24
divide by 3
senior = $8
What is the area of the rectangle below?
5/6 m H
2/3 m L
Answer:
5/9
Step-by-step explanation:
Answer:
A = 0.55 or 5/9
Step-by-step explanation:
Area = HL
A = (5/6)(2/3)
A = 0.55 or 5/9
HELP! plz I can't find the aswer
I NEED HELP PLSSSSS I WILL MARK BRAINLEIST <3
the answer is C...... ....
C. .....
If a square had a area of 49cm^2 then what would be the perimeter?
true or false inequalities have many solutions and equations have one solution
Answer:
Step-by-step explanation:
Like systems of equations, system of inequalities can have zero, one, or infinite solutions.
Answer:
Yes this is true..............................................................................................................................
What is the point that divides line DC into a ratio of 1:3, starting from point D C (-120, 83) D (156, -64)
Answer:
Step-by-step explanation:
Which sequence is geometric?
O 5, 15, 25, 35, ...
O 5, 10, 20, 40, ... *
O 6, 12, 18, 24, ...
O 7, 14, 21, 28, ...
Answer:
0, 5, 10, 20, 40, ... *
Step-by-step explanation:
geometric sequences require a common ration and the only sequence with a common ratio is B. common ratio is 2
(h + 1) cm 6 cm A Write and solve an equation to find the value of h Include all of your work in your answer. B. In two or more complete sentences, verify your answer using mental math. 2
Answer:
See belowStep-by-step explanation:
we are given opposite and adjacent if the given right angle triangle
we want to make an equation with the given information
Part-1:notice that adjacent is greater than opposite so we can only take 30° as our angle
hence,
using trigonometric property
our equation is
[tex] \displaystyle \: \tan( {30}^{ \circ} ) = \frac{h + 1}{6} [/tex]
we took tangent function because we know that tangent function is the ratio of opposite and adjacent
now let's solve the equation
recall unit circle:
[tex] \displaystyle \: \frac{ \sqrt[]{3} }{3} = \frac{h + 1}{6} [/tex]
cross multiplication:
[tex]3(h + 1) = 6 \sqrt{3} [/tex]
divide both sides by 3:
[tex]h + 1 = 2 \sqrt{3} [/tex]
cancel 1 from both sides:
[tex] \therefore \: h = 2 \sqrt{3} - 1[/tex]
Part-2:by using mental math
The angle of elevation at the top of a tower at a point on the ground is 30° at a distance of 6 metre from the foot and the height of the tower is h+1. find h
now this question verifies the equation
because we are given a right angle triangle where the opposite is less than the adjacent so we took 30° as our angle
by solving the equation we'll again get our answer
Sidney has $100 in a savings account. The interest rate is 10% per year and is not
compounded. How much interest will she earn in 3 years?
Answer:
130 dollars
Step-by-step explanation:
This time I don't think I done messed it up
Have a good day!
How to find the arc length (geometry)
Answer:
94.2
Step-by-step explanation:
Arc length is basically circumference.
Circumference formula: 2πr
All we need is the radius.
Radius = r
15 x 2 = 30 (diameter)
Then we are going to multiply by pi.
Arc length = 30π OR 94.2