Answer:
a) 0.0498 = 4.98% probability that the number of pieces of junk mail you receive next week will be none at all.
b) 0.1680 = 16.80% probability that the number of pieces of junk mail you receive next week will be exactly four.
c) 0.4232 = 42.32% probability that the number of pieces of junk mail you receive next week will be no more than two.
d) 0.5768 = 57.68% probability that the number of pieces of junk mail you receive next week will be more than two.
Step-by-step explanation:
We have only the mean, which means that we use the Poisson distribution to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
You find that you receive on average about 3 pieces of junk mail per week.
This means that [tex]\mu = 3[/tex]
(a) none at all.
This is P(X = 0).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]
0.0498 = 4.98% probability that the number of pieces of junk mail you receive next week will be none at all.
(b) exactly four.
This is P(X = 4).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 4) = \frac{e^{-3}*3^{4}}{(4)!} = 0.1680[/tex]
0.1680 = 16.80% probability that the number of pieces of junk mail you receive next week will be exactly four.
(c) no more than two.
This is:
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]
[tex]P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494[/tex]
[tex]P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.224[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0498 + 0.1494 + 0.224 = 0.4232[/tex]
0.4232 = 42.32% probability that the number of pieces of junk mail you receive next week will be no more than two.
(d) more than two
[tex]P(X > 2) = 1 - P(X \leq 2) = 1 - 0.4232 = 0.5768[/tex]
0.5768 = 57.68% probability that the number of pieces of junk mail you receive next week will be more than two.
Sam plans to use two flags on his float for the parade. Each flag is a right triangle and the triangles are similar.What is the width, x, of the larger flag in feet? halp please!!! 100 POINTS
Answer:
6.25 ft
Step-by-step explanation:
The smaller flag width is 5. And the larger flag is not that big in size. So the close answer is 6.25
Answer:
6.25ft
Step-by-step explanation:
The students in Jamie's grade voted to select a guest speaker. 75% of
the students voted for a famous athlete. If there are 48 students in Jamie's
grade, how many students voted for the athlete?
Chloe scored 24 points over the first 12 games of the basketball season. She scored 112 points over the last 16 games of the season. How many more points per game did Chloe score in the last 16 games of the season?
Answer:
5 points
Step-by-step explanation:
First, find how many points per game she scored over the first 12 games:
24/12
= 2 points per game
Now, find how many she scored in the last 16 games:
112/16
= 7 points per game
Find the difference:
7 - 2
= 5
So, she scored 5 more points per game in the last 16 games
Answer:
first 12 games- 24/12= 2ppg
Last 16 games- 112/16= 7ppg
7-2= 5 points per game more
are z^3 and 3z equivalent expressions? explain.
Answer:
no, they are not.
Step-by-step explanation:
3z means a number multiplied by 3
so if z is 2, 3(2) = 6
but z^3 means z multiplied by z, and then multiplied by z again.
so if z is 2, it's 2x 2 = 4 x 2 = 8
let me know if you have questions
The two expressions are not equivalent to each other.
What are equivalent expressions?Equivalent expressions are expressions that are equal and synonyms to each other when used differently with various mathematical concepts.
From the expressions given:
z^33zThe first expression is a variable (z) raised to a power of 3. The power is also called an exponent.The second expression is a variable(z) that has a coefficient of 3Let us assume that:
z^3 = 3z
Now, let's replace 2 for the value of z on both sides, we have:
(2)^3 = 3(2)
8 ≠ 6
Learn more about equivalent expressions here:
https://brainly.com/question/2972832
A boy is flying a kite and has let out 300 feet of string. He notices that the angle the string makes with the ground is 38 degrees. How high over the ground is the kite?
Answer:
height = 184.7 feet
Step-by-step explanation:
sin 38 = height/300
0.6157 = height/300
height = 184.7 feet
What is the value of the expression f(–3)?
-15
3
-3
15
Answer:
Option A, -15
Step-by-step explanation:
Step 1: Look at the function that needs to be outputted when x = -3
Since x = -3, that means it falls into the first category of x ≤ -3
Step 2: Carry out the instructions
The function for the first category is [tex]-x^{2} + 2x[/tex]
[tex]f(-3) =-(-3)^{2}+2(-3)[/tex]
[tex]f(-3) = -(9) - 6[/tex]
[tex]f(-3) = -15[/tex]
Answer: Option A, -15
Please, What is the answer?
Explanation:
You can verify this by plugging each root into the equation.
So for instance, plug in x = -2 and we get
f(x) = -3*(x+2)*(x-sqrt(3))*(x-4)
f(-2) = -3*(-2+2)*(-2-sqrt(3))*(-2-4)
f(-2) = -3*(0)*(-2-sqrt(3))*(-2-4)
f(-2) = 0
This verifies x = -2 is a root.
All that matters is that zero buried in there in the second to last step. Multiplying 0 by anything leads to 0. The other roots are verified in the same manner. The -3 out front is the leading coefficient.
----------------
Extra info:
Choice B is eliminated because (x+3) being a factor implies that x = -3 is a root. But this isn't listed in the instructions.Choice C is a similar story to choice BChoice D is eliminated since -sqrt(3) is not one of the listed roots, so (x+sqrt(3)) is not a factor.5. What is the volume of the figure below?
18 cm
5 cm
12 cm
A. 180 cm
B. 540 cm
13 cm
C. 380 cm2
D. 360 cm3
Answer:
732
Step-by-step explanation:
Evaluate the function f(x)=x+4 when x=3
Answer:
f(3) = 7
Step-by-step explanation:
f(3) = 3+4
f(3) = 7
Easy brainliest for correct answer 100%
Answer:
B) A/l
Step-by-step explanation:
Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other.
Divide l from both sides of the equation:
A = l * w
(A)/l = (l)/l * w
w = A/l
B) A/l is your answer.
~
True or false. Basketball is one of the only sports that has a specific founder and known
location when it was created.
Answer:
True
Step-by-step explanation:
Hope this helps you
Solve for x.
(Round to the nearest hundredth)
Answer:
Step-by-step explanation:
[tex]\frac{x}{40} =sin 40\\x=40 sin 40 \approx 25.71[/tex]
Gary spent 55 hours in two weeks working on the same to project she worked 32 hours the first week right and solve an addition equation to find amount of time she's been working on the second week
Answer:
If Zaira spent 32 hours in the first week. We subtract 32 from 55. 55-32=23. That means she worked 23 hours in the second week.
Change the following into m square 30,000cm²
Answer: 3sqm
Step-by-step explanation:
which function represents the following graph.
Answer:
Option 3
Step-by-step explanation:
[tex]\left(x+3\right)^{\frac{1}{3}}+3[/tex]
Answer:
option 4 on edg
Step-by-step explanation:
y=3(x+3) +3
how do i solve for x
Answer:
55
Step-by-step explanation:
2 to the third power minus the quantity of (2x3) +(-4) =
could show the step by step process of working this problem
pls pls pls pls helppppp
If the fractions are 1/6 1/3 1/2 and 2/3 what is the rule for the sequence
Answer:
66
Step-by-step explanation:
dolars per hour
Help please I give brainliest
Answer:
2,20
Step-by-step explanation:
Answer:
(8,5)
Step-by-step explanation:
To determine the domain, identify the set of all the x-coordinates on the function's graph. To determine the range, identify the set of all y-coordinates. In addition, ask yourself what are the greatest/least x- and y-values. These values will be your boundary numbers.
Mick paid $2.94 in sales tax on an item that cost $42.00 before tax. At that percent rate, how much would he pay in sales tax for an item that costs $58.00 before tax?
Answer:
4.06
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
qsSDASD
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ABC=LMN?
A. ASA
B. LL
C. SAS
D. LA
E. HL
F. AAS
Answer:
C is the answer according to me
What would you call the expression 2x -5y - 7?
Answer:
Trinomial
Step-by-step explanation:
Its called a Trinomial since it has 3 terms in it
Hope its helps!
34. CONSTRUCTION A construction worker is working on the roof of a
building. A drop of paint falls from a rafter that is 225 feet above the
ground. After how many seconds does the paint hit the ground?
Answer:
t = 6.77 s
Step-by-step explanation:
Given that,
A drop of paint falls from a rafter that is 225 feet above the ground.
We need to find the time when the paint hit the ground. Let the time be t.
Using the second equation of kinematics i.e.
[tex]s=ut+\dfrac{1}{2}at^2[/tex]
Where
u = 0 (initial velocity is 0 as it was at rest)
a = g
So,
[tex]225=\dfrac{1}{2}\times 9.8t^2\\\\t=\sqrt{\dfrac{2\times 225}{9.8}} \\\\t=6.77\ s[/tex]
So, it will hit the ground at 6.77 s.
SOMEONE HELP PLEASE ILL REWARD BRAINIEST!!!
Answer:
27,000
Step-by-step explanation:
What is the median of data set 32 25 25 32 32 10 -10 25
Answer:
25
Step-by-step explanation:
middle most common
Answer:
Median is 25
Step-by-step explanation:
Step 1: Organize the data from lowest to highest
-10 10 25 25 25 32 32 32
Step 2: Find the middle number
The two middle numbers would be 25 and 25, so we would take their average which is 25 obviously.
Therefore, the median of the data set is 25
Help me plzzzzzzzzzz.z.z.z.z.z.z..z.z.z.z
Answer:
Area of rectangle = 10 in.²
Area of triangle = 0.5 in.²
Square inches of plastic in bookmark = 9.5 in.²
Step-by-step explanation:
✔️Area of rectangle = Length × Width
Length = 5 in.
Width = 2 in.
Area of rectangle = 5 × 2 = 10 in.²
✔️Area of Triangle = ½*bh
b = 1 in.
h = 1 in.²
Area of triangle = ½*1*1
Area of triangle = 0.5 in.²
✔️Square inches of plastic in bookmark = area of rectangle - area of triangle
= 10 - 0.5 = 9.5 in²
Azim wants to buy a tablet computer that is priced 180.50 if the sales tax rate on the computer is 8% how many dollars and cents will Azim spend on the sales tax only
Answer: 98.1%
Explanation:
A 10% sale means that the post-sale price of the item is now 90%, or 0.9 of the original cost of the item. We then apply 9% sales tax by multiplying the 0.9 by 109%, or 1.09. 0.9 * 1.09 = .981, so the total cost of the item is 98.1% of the original pre-sale sticker price.
For percentage problems that do not deal with a specific starting number, it is always helpful to plug in 100 for the starting number. Here, we would then have a post-sale price of 90 dollars, and if we calculate the sales tax for the 90-dollar item it would be 90 * 0.09 = $8.10. THis gives us a total cost of 90 + 8.10 = $98.10, or 98.1% of the original 100-dollar price.
What value of x is in the solution set of 2x - 3> 11 - 5x?
0 -3
O 0
O2
o 4
Answer:
The answer is x>2, x has to be greater than 2,
the answer is 4 since it is greater than 2
1. Given f(x) = 3
Find |(2)