If X∼U(3,34) follows a uniform distribution, what is the mean and standard deviation of X?
The mean of the uniform distribution of X is the average of the distribution
The mean and standard deviation of X are 18 and 9.24, respectively
How to determine the mean?The uniform distribution of X is given as:
X∼U(3,34)
This means that:
a = 3 and b = 34
The mean is calculated as:
[tex]\bar x = \frac{a + b}{2}[/tex]
So, we have:
[tex]\bar x = \frac{2 + 34}{2}[/tex]
[tex]\bar x = \frac{36}{2}[/tex]
Evaluate
[tex]\bar x = 18[/tex]
How to determine the standard deviation?This is calculated as:
[tex]\sigma = \sqrt{\frac{(b - a)^2}{12}}[/tex]
Substitute known values
[tex]\sigma = \sqrt{\frac{(34 - 2)^2}{12}}[/tex]
Evaluate the exponent
[tex]\sigma = \sqrt{\frac{1024}{12}}[/tex]
Divide
[tex]\sigma = \sqrt{85.33}[/tex]
Evaluate the root
[tex]\sigma = 9.24[/tex]
Hence, the mean and standard deviation of X are 18 and 9.24, respectively
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what is standard deviation round3d to one decimal place
HELP HELP HELP*. Hei has $1,700 in a retirement account earning 4% interest compounded annually. Each year after the first, she makes additional deposits of $1,700. After 5 years, what was her account balance if she did not make any withdrawals? Round each year's interest to the nearest cent if necessary.
what was account balance after 5 years
[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the beginning of the period}}{\textit{Future Value of an annuity due}}\\ ~~~~~~~~~~~~ \\\\ A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right)[/tex]
[tex]\begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic payments}\dotfill &1700\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=1700\left[ \cfrac{\left( 1+\frac{0.04}{1} \right)^{1\cdot 5}-1}{\frac{0.04}{1}} \right]\left(1+\frac{0.04}{1}\right) \\\\\\ A=1700\left( \cfrac{1.04^5~~ - ~~1}{0.04} \right)(1.04)\implies A\approx 9576.06[/tex]
Find the surface area
Answer = 221.52cm²
Step-by-step explanation:
Surface area of a hexagonal pyramid = B × H ÷ 2
Where,
b = 6
h = 5.2
⇒ 6 × 5.2 ÷ 2 = 15.6
⇒ 15.6 × 5.2 = 81.12
⇒ 6 × 9 ÷ 2 ⇒ 54 ÷ 2 = 27
⇒ 27 × 5.2 = 140.4
140.4 + 81.12
= 221.52
Answer:
Step-by-step explanation:
a -> apotham of the hexagon ⇒ a = 3√3 cm
b -> base ⇒ b = 6 cm
s ->slant height ⇒ s= 9 cm
[tex]\text{Area of hexagonal pyramid=3*ab +3*b*s}[/tex]
= 3*3√3*6 + 3*6*9
= 54*1.732 + 162 [√3 = 1.732]
= 93.6 + 162
= 255.6 cm²
Name 2-3 types of retirement accounts and explain what they are.
Some examples of he most common types of retirement accounts are:
401(k) andSEP IRA.What is the 401 (k) Retirement Plan?
The 401 (k) is a type of requirement plan that allows employees to contribute a percentage of their wages to individual accounts. Some of it's features are:
The contributions to this account is tax freeprovides the contributor with early access to their moneyIt allows the contributors to contribute up to $18,500 for those under the age of 50 and $24,500 for those above the age of 50.With the 401K, there is a matching contribution from the employer by at least 90% of employers.Taxes on investments are defferred until retirements.The term 401(k) is derived from the section of the US Internal Revenue Code that established the 401(k) retirement plan.
What is the SEP IRA?
SEP is the accronym for Simplified Employee Pension. SEP IRA is a retirement savings plan a sort of domesticated plan that employers created to the advantage of themselves and their employees.
The advantages of the SEP IRA are:
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At the beginning of a snowstorm, Harper had 11 inches of snow on her lawn. The snow then began to fall at a constant rate of 1 inch per hour. Assuming no snow was melting, how much snow would Harper have on her lawn 2 hours after the snow began to fall? How much snow would Harper have on her lawn after tt hours of snow falling?
Which strategy would most help minimize the risk of being underinsured
The strategy that would most help minimize the risk of being underinsured is to take a higher deductible.
What is a deductible?It should be noted that a deductible simply means the amount that paid by an individual before the insurance holder will give the expenses.
In this case, the strategy that would most help minimize the risk of being underinsured is to take a higher deductible.
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Answer:
choosing max coverage
Step-by-step explanation:
An isosceles trapezoid has vertices at (-2, 1), (2, 1), (5, -1) and (-5, -1). find the measure of each diagonal
Check the picture below.
well, is an isosceles trapezoid, namely the slanted sides are equal, so the diagonals, in red, are also equal, so let's just find the length of the solid line diagona, since the dashed one will be the same length anyway.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[2 - (-5)]^2 + [1 - (-1)]^2}\implies d=\sqrt{(2+5)^2+(1+1)^2} \\\\\\ d=\sqrt{7^2+2^2}\implies d=\sqrt{53}\implies d\approx 7.28[/tex]
more questions help me
Answer:
a. -10/13*3/13
b. -30/169
Step-by-step explanation:
A mother shared $600 amongst her three daughters Ana, Betty and Carol in the ratio of 2:3:5 respectively. How much money did Betty receive?
Ana, Betty and Carol in the ratio of 2:3:5 respectively
mom cut the $600 in (2+3+5) 10 parts
and gave 3 parts to betty
so B got 600 : 10 x 3 = $180
If triangle DEF is classified as equilateral, which statement must be true?
At least two sides are congruent.
Two sides are perpendicular.
All three sides are congruent.
Two sides are parallel.
Also could you put the answer in the question comment box? I'm out of free answers.
Answer:
Step-by-step explanation:
Answer: All three sides are congruent
The problem is with A. It's true as well. At least 2 of the sides are congruent. The way to eliminate it is to say that does not mean specifically that all three sides are congruent.
I would argue that this is a faulty question, and watch someone squirm as they try to explain to you why a is not the answer. I don't know how to comply with your request. How are the choices designated
A
B
C
or
1
2
3
Answer:
C. All three sides are congruent.
Step-by-step explanation:
PLEASE HELP ASAP
Zeke has spent $3.75 on gel pens in the past, and now he plans to buy some new ones. The
new gel pens cost $1.25 each. If Zeke buys 6 new gel pens, how much will he have spent on
gel pens in total?
Answer:
11.25
Step-by-step explanation:
Base on the given we can conclude that:
3.75 + 6 × 1.25
Now solve the following:
3.75 + 6 × 1.25
3.75 + 7.50
=11.25
~lenvy~
Answer:11.25
Step-by-step explanation:
WILL PICK BRAINLIEST AND GIVE LOT OF POINTS!
The base of a solid S is the triangle enclosed by the line x+y=1, the x-axis, and the y-axis.
Cross-sections perpendicular to the x-axis are equilateral triangles.
Determine the exact volume of solid S.
Also bounds are from 0 to 1.
Solve using integration.
Step-by-step explanation:
is this what you were looking for?
A group of students is riding in a bike tour. They have biked 15 miles, which is 25% of the tour. How long is the tour?
Answer:
60 miles
Step-by-step explanation:
25% of 60 = 15
Hoped this helped<33
Fisher Auto Parts is running a 45% clearance sale on batteries. One battery cost $149.99. If the consumer purchases 2 batteries. What would be the final cost?
Sales tax is 5%.
Answer:
$204.74
Step-by-step explanation:
At 45% off each battery, the price for 1 battery would be (149.99)*(0.65) = $94.50. Two batteries would be a total of $194.99.
Add 5% tax:
($194.99)(1.05) = $204.74
Determine if S could lie on the perpendicular bisector of QR with the given coordinates
Q(-5 , 4), R(8 ,3) , S(-2,-5)
Step-by-step explanation:
The distance between two points, and is given by:
The endpoints are: Q(-5, -1), R(3, 7)
Point S is (4,-2).
The distance of S to Q is:
The distance of S to R is:
Can you help me solve a question?
Answer:
Yeah sure
Step-by-step explanation:
Answer:
Yes what is it?
Step-by-step explanation:
!ask a question
Can someone please answer this?
ANSWER
it is the one that is highlighted Yellow
f=±✓de/4e
photo is how you do the work
which European country colonized Brazil?
Answer:
Portugal in 1815 colonize Brazil.
HELPP ME ITS BEEN SO LONG HELP PLEASEEE HELP PLEASEE HELPP Stevie needed twine for the gifts she was wrapping for a family party. The lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?
Answer:
Your answer would be:
57.75 or 57 3/4
(I will show how many of each length of twine that is on the graph)
Point 2 1/4:
2
Point 2 3/4:
4
Point 3:
1
Point 3 1/2:
2
Point 3 3/4:
3
Point 4:
1
Point 4 1/4:
4
We can show how much length in total Stevie used with the following equation:
(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)
Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
I need help please this is very tricky to me
Answer:
273cm
Step-by-step explanation:
21 times 13 is 217. That is how you find out the area of parallelogram, (base times peperndicular heigh)
How many students are in Mr. Gatlin’s class?How did you know? Justify your reasoning..
Answer:
where is the full question?
Step-by-step explanation:
HELP ASAPPPP
In two sample surveys, 125 people were asked about their favorite fruit. In the first survey, 40 people chose apples, 64 chose oranges, and 21 chose bananas. In the second, 43 chose apples, 63 chose oranges, and 19 chose bananas. Marianne inferred that most people prefer oranges. Is this inference true based on the data? Explain.
Answer:
More than half of the people surveyed in each sample chose oranges as their favorite fruit. Since most people in each sample chose oranges, it is likely that oranges are the favorite fruit of the entire population.
I hope this helps you
Step-by-step explanation:
What is the value of the expression, when x = 6?
Answer:
162
Step-by-step explanation:
7(3×6-4)+4^3
7(18-4)+4^3
7×14+4^3
98+64
162
Answer:
162.......
Step-by-step explanation:
= 7 ( 3x - 4 ) + 4^3
= 7 ( 3× 6 - 4 ) + 4^3
= 7 ( 18 - 4 ) + 4 ^3
= 7 ( 14 )+ 4 × 4 × 4
= 98 + 64
= 162..
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 4500 seats. The students left 3105 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
[tex]\bull[/tex]Total number of seats in theatre = 4500
[tex]\bull[/tex]Total number of seats left vacant = 3105
Solution:-[tex]\longrightarrow[/tex]Number of seats occupied = Total number of seats in theatre - Total number of seats left vacant
[tex]\longrightarrow[/tex]Number of seats occupied
[tex]\quad[/tex]= 4500 - 3105
[tex]\longrightarrow[/tex] 1395
[tex]\\[/tex]
Now,
[tex]\begin{gathered}\bull \sf Percentage \:of \:seats \:filled = \frac{Seats \: filled \: by \:6th \:grader }{Total \:number \:of \:seats} \times 100 \% \\\end{gathered} [/tex]
[tex]\begin{gathered}\bull \sf Percentage \: of \:seats \: filled = \frac{1395}{45\cancel{00}} \times \cancel{100} \% \\\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf \frac{1395}{45} \% \\\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf 31 \% \\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]Thus , 31 % of seats in the theater were filled by the 6th graders on the trip
what is 122 / 600?
[tex]122 \div 600[/tex]
Answer:122/600= 0.20333333333
Step-by-step explanation:
Is -4,6 a solution to y=-9
Answer:
No, (-4, 6) is not a solution to y = -9.
Step-by-step explanation:
y= -9 has a horizontal line graph. Every point on this line has -9 as its y-coordinate. (-4, 6) does not lie on that line and is therefore not a solution to y = -9.
PLEASE I NEED HELP WITH THIS!! BRAINLIEST FOR THE FASTEST ANSWER
Answer:
B - 2093 in cubed
Step-by-step explanation:
Use the formula 4/3 * pi * r^3 to find the volume of one basketball, using 5 as the radius. Next, multiply this number by 4 to find the volume of 4 basketballs. The answer should be option B.
Hopefully this helps- let me know if you have any questions!
Answer:V≈268.08
Step-by-step explanation:Volume of a sphere: V = (4/3)πr. times 4 equals V≈268.08. i think this is it!! i hope it works loe you have an amazing day:) -marina mae
A perpendicular line is constructed through angle B of Triangle ABC and intersects side AC at a 90° angle through
point D. Select the transformations that would justify that Trangles ABD = CBD. Select all that apply.
A. A reflection over BD that maps AB onto BC.
B. A translation along vector AC that maps point A onto point C.
C. A rotation about center B that maps BD of Triangle CBD onto BA.
D. A rotation about center D that maps BD of Triangle CBD onto AD and Angle BDC onto angle ADB.
E. A rotation about center D that maps CD onto AD. Then a reflection across AD that maps Angle ABD onto
Angle CBD.
Answer: E, A
Step-by-step explanation:
Which equation describes how the parent function, y = x cubed, is vertically stretched by a factor of 4? y = x cubed 4 y = (x 4) cubed y = 4 x cubed y = x superscript 4
The required function when the parent function is stretched comes to be [tex]f(x)=x^{3} +4[/tex].
The parent function is:
[tex]f(x)=x^3[/tex]
How vertical translation of the graph of a function takes place?If a function f(x) is vertically translated by k units f(x) becomes f(x)+k where k is positive.
Given function [tex]f(x)=x^3[/tex] is vertically shifted by 4 units
So, f(x) will become f(x)+4
[tex]f(x)+4 = x^{3} +4[/tex]
So, the required function is [tex]f(x)=x^{3} +4[/tex]
Therefore, the required function when the parent function is stretched comes to be [tex]f(x)=x^{3} +4[/tex].
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Answer:
A
Step-by-step explanation:
edge, 2022
PLEASE HELP ME WITH THIS!!!!!
For the given experiment of spinning a spinner and drawing a card, we will see that:
A) Yes, the events are independent.B) P(3 and A) = 1/16C) P(5 and C) = 0D) P(4) = 1/4 P(B or C) = 1/2E) P(3 and not D) = 3/16What are independent events?
We say that two events are independent if the outcome of one does not affect the outcome of the other.
In this case, the outcome of the spinner clearly does not affect the outcome of the card draw, so the events are independent.
How to get the probabilities?
B) First we want to get the probability of getting 3 and A.
The probability of getting a 3 when drawing a card is given by the quotient between the numbers of card with the number 3 (only one) and the total number of cards, so we have:
p = 1/4
Similar for the case of the spinner, the letter A appears twice, and there are a total of 8 letters, then the probability is:
q = 2/8 = 1/4
The joint probability is the product of the two individual probabilities, we have:
P(3 and A) = p*q = 1/4*1/4 = 1/16
C) The probability of getting a 5 and the letter C is 0, because there is no card with the number 5.
D) P(4) is the probability of drawing the card with the number 4, this is:
p = 1/4
P(B or C) is the probability of spinning the letter B or C. There are 2 B's and 2 C's, and a total of 8 letters, so the probability is:
q = (2 + 2)/8 = 1/2
E) P(1 and not D) is equal to: P(1 and A or B or C).
P(1) is 1/4.
P(A or B or C) is 6 over 8 (because there are 6 cards that are either an A, a B, or a C)
Then the joint probability is:
P(1 and not D) = (1/4)*(6/8) = 3/16
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