Answer:
A) the curves are ellipses
B) 161 yards
C) 366 yards
Step-by-step explanation:
A) The general shape of the side marked c has the appearance of two quarter-ellipses. The major axis is approximately 125 yards, and the minor axis is approximately 80 yards. Paul could assume that the curves are quarter-ellipses.
B) For an ellipse with this eccentricity, its perimeter is within 2% of that of a circle with a diameter equal to the average of these dimensions.*
So, the approximate length of side c is ...
c ≈ π(80 +125)/4 ≈ 161 . . . . yards; length of side c
C) The perimeter of the pond is the sum of the side lengths, so will be ...
80 yds + 125 yds + 161 yds = 366 yds . . . pond perimeter
Indian mathematician Ramanujan developed an approximate formula for the circumference of an ellipse, which would otherwise need to be computed using an elliptic integral. it is ...
C = π(a+b)(1 + 3λ²/(10 +√(4 -3λ²)) where λ = (a -b)/(a +b) and a, b are the semi-axis lengths.
For this ellipse, λ = 9/41, so the last factor is about 1.01208313. Using this factor, the circumference is expected to be good to about 7 significant digits. Continuing the calculation, we find C ≈ 325.904 . . . . circumference of an ellipse 125 yd long by 80 yd wide
This is twice the length we imagine for c, so c ≈ 163 yards. As we said, the approximation used above is within 2% of this value.
The attachment shows the shape if the curve is actually an ellipse.
Help me! 30 Points!
TY!!!
Answer:
y = -4x + 5
Step-by-step explanation:
Answer:
if not 2 x+-4 im sorry
Step-by-step explanation:
In a random sample 70 people, it was found that 44 of them were fans of NY Yankees. What is the margin of error for the true proportion of all individuals who are fans of the NY Yankees?
0.0088
0.058
0.063
0.116
0.173
What's the answer
Answer:
C
Step-by-step explanation:
44/70 which is about 0.063 Hope this helps :D Please mark brainliest
Answer:
Step-by-step explanation:
How many solutions does the following equation have?
0 = -6 | 9v - 7 |
Answer:
I think it's One Solution
Step-by-step explanation:
-6|9v-7|=0
Divide 6 on both sides
-6|9v-7| /6=0/6
Simplify
|9v-7|=0
Add a absoulte rule
9v-7=0
v = 7/9
I hope it's right!
A hat contains cards with different colors.
Annabella randomly selects a card from
the hat and returns the card to the hat
after noting the color. After randomly
selecting a card 300 times, she has picked
a purple card 70 times. Based on her
results, what is the estimated probability
that Annabella selects a purple card?
A 7/37 B 7/30 C 7/23 D 23/30
Answer:
B 7/30
Step-by-step explanation:
P (Purple) = 70 / 300 = 7/ 30
Answer:
B
Step-by-step explanation:
Purple-70/300=7/30
Please helppp!!!! I’ll give you a crown!!
But please explain the answer, Bc I want to understand.
Which is an equation for a line that passes through (0,-3) and is perpendicular to the graph of the line y=2x-3?
1. Y=-2x+3
2. Y= -2x-3
3. Y=-1/2x +3
4. Y=-1/2x-3
Answer:
I think the answer is 2
Step-by-step explanation:
I it is perpendicular to y=2x-3 then the x value has to be -1 meaning that the x value has to be -2x
so we have Y=-2x+c
We know the Y value is -3 from the co ordinates (0,-3)
so now we have -3=-2x+c
we also know x=0 from the co-ordinates (0,-3)
so we now have -3=-2*0+c
-3=0+c
to make the equation work c has to be -3 meaning that we now have
-3=0-3 which is
Y=-2x-3
Identify a pair of similar triangles
Answer:
its ADC and ADB
Step-by-step explanation:
they both have the triangle at the top so they are similar, they just arnt the same size
P and Q are sunsets of the universal set U={n:1<n<10} and n is an integer. P consists of even numbers less than 7 and Q consists of prime numbers less than 10. List the elements of a)P'uQ' b)P'nQ' c)(P'nQ')' d)(PuQ)'
Part A
Answer: P' u Q' = {3,4,5,6,7,8,9}---------------------------------
Work Shown:
The universal set here is U = {2,3,4,5,6,7,8,9} so we're listing all the integers between 2 and 9. We don't include 1 or 10 since n is larger than 1, and smaller than 10.
P = even numbers less than 7, subset of U
P = {2,4,6,8}
P ' = {3,5,7,9}
Note how the set P' is the set of everything in U that is not in set P. It's the opposite of set P. We call this the complement of set P.
Q = prime numbers less than 10, subset of U
Q = {2,3,5,7}
Q ' = {4,6,8,9}
Applying the union set operation on the sets P' and Q' leads to
P' u Q' = {3,5,7,9, 4,6,8,9}
All I did was combine the two sets of numbers under one umbrella. From here we toss out the duplicate entry of 9. This next step is optional, but sorting the values is standard convention.
Doing all this leads to
P' u Q' = {3,4,5,6,7,8,9}
This set represents all the values that are in set P' or in set Q' or both.
=======================================================
Part B
Answer: P' n Q' = {9}---------------------------------
Work Shown:
Now we're looking at the intersection of sets P' and Q'
List out those sets
P ' = {3,5,7,9}
Q ' = {4,6,8,9}
We see that only the value 9 is in common
Therefore,
P' n Q' = {9}
=======================================================
Part C
Answer:
(P' n Q')' = {2,3,4,5,6,7,8}
---------------------------------
Work Shown:
You start with the result from part B. Then you erase that item (9) from the universal set. Everything in this answer set is not found in the set {9}
Put another way: we're finding the complement or opposite of P' n Q'
=======================================================
Part D
Answer: (P u Q)' = {9}---------------------------------
Work Shown:
P = {2,4,6,8}
Q = {2,3,5,7}
P u Q = {2,3,4,5,6,7,8}
Everything in set P u Q is either found in P, Q, or both. Any duplicates are tossed out.
Take the opposite of this to get
(P u Q)' = {9}
It is not a coincidence we get the same result as part B. It turns out that the two equations are true for any two sets P and Q
(P u Q)' = P' n Q'(P n Q)' = P' u Q'For more information, check out De Morgan's Laws. Use of a Venn Diagram may help visualize what is going on, so you can organize the values.
what is 2 1/4 divided by 4
Answer:
9/16 or 0.5625
Step-by-step explanation:
Answer:
9/16
Step-By-Step:
2 1/4 = 9/4
Just multiply the denominator by 4
9/4 x 4 = 9/16
The circumference of a circle is 28.26 what’s the circles diameter
Answer: The diameter is 9
Step-by-step explanation:
Divide the circumference, 28.26, by the common value of pi, 3.14
[tex]\frac{28.26}{3.14} = 9[/tex]
Michael's Art Supply store sells a fabric that costs $4 per foot. You purchase 5 yards of the fabric. What is the total cost, in
dollars, of the fabric you purchase?
A. $5
B. $10
C. $15
D. $60
Answer:
D.) $60
Step-by-step explanation:
1 yard= 3 feet
1 yard= 12$
12(5)= 60
5 yards= $60
A store buys 5 sweaters for $50 and sells them for $130. How much profit does the store make per sweater?
Answer: $16
Step-by-step explanation:
Total Profit = $130 - $59
Tatol Profit = $80
Profit Per Seearter = $80 ÷ 5 =26
Answer:
The Profit is $16 per Sweater
Step-by-step explanation:
Tony bikes 8 miles in one hour. How far would he bike in 5 hours?
Answer:
5*8=40, 40 miles
Answer:
40 miles
Step-by-step explanation:
8 x 5 = 40
sheesh
A certain academic program claims that their students graduate in less than 4 years on average. A random sample of 50 students is taken and the mean and standard deviation are found. The test statistic is calculated to be-169. Using a 5% significance level, the conclusion would be:_________. a) there is sufficient sample evidence for the program's claim to be considered correct b) there is insufficient sample evidence for the program's claim to be considered correct c) there is insufficient sample evidence for the program's claim to be considered incorrect d) there is sufficient sample evidence for the program's claim to be considered incorrect
Answer:
The correct option is:
(a) There is sufficient sample evidence for the program's claim to be considered correct.
Step-by-step explanation:
The hypothesis can be defined as follows:
[tex]H_{0}:\mu\geq 4\\\\H_{a}:\mu< 4[/tex]
A random sample of n = 50 students is selected.
The significance level of the test is, α = 0.05.
The degrees of freedom are:
df = n - 1
= 50 - 1
= 49
Compute the critical value as follows:
[tex]t_{\alpha,\ (n-1)}=t_{0.05,\ 49}[/tex]
[tex]=t_{0.05, 60}\\\\=-1.671[/tex]
Use the t-table.
Decision rule:
If the calculate value of the test statistic is less than the critical value then the null hypothesis will be rejected.
The calculate value of the test statistic is, t = -1.69.
[tex]cal.t=-1.69<t_{0.05, 49}=-1.671[/tex]
The null hypothesis will be rejected at 5% level of significance.
The correct option is:
(a) There is sufficient sample evidence for the program's claim to be considered correct.
What is
[tex]|2-2x|=6[/tex]?
Answer:
It is both -2 and 4
Step-by-step explanation: hope it helped!
The sum of 24 and 4 doubled
Answer:
56
Step-by-step explanation:
(24+4)x2=28x2=56
Answer:
56
Step-by-step explanation:
First things first we need to make into an understandable equation. Remember that sum means we will be adding 24 and 4. As for doubled that means that 24+4 will be multiplied by 2 so the equation should turn out like this...
[tex]x=2(24+4)[/tex]
Once we have the equation set up we can solve it...
[tex]x=2(24+4)\\x= 48+8\\x=56[/tex]
So the sum of 24 and 4 doubled is 56.
Which ratio is equivalent to 3:3?
6:3
4:4
3:6
3:4
Answer:
4:4
Step-by-step explanation:
3:3 can be simplified to 1:1 ( divide by 3) and then to 4:4( multiply by 4)
Hope this helps :D please mark brainliest if correct
The ratio 3:3 reduces to 1:1 when we divide both parts by 3.
Then multiply both parts of 1:1 by 4 to get to 4:4
note how 3/3 = 1 and 4/4 = 1, which helps show 3/3 = 4/4, consequently leading to 3:3 and 4:4 being equivalent ratios.
In general, the ratio 3:3 is equivalent to anything of the form x:x where x is any number you want. So for instance, if x = 7, then 3:3 is equivalent to 7:7
what is 3 1/4 as a improper fraction and decimal please answer asap i don't understand this :)
PLEASE ANSWER! I’m a tad desperate..
Select the show of Pascal’s triangle to expand the binomial expression (2x^3 + 3y^2)^7
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
17 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
Have a wonderful day! If you decide to answer I appreciate you very much! ❤️
Answer:
1 7 21 35 35 21 7 1
Step-by-step explanation:
Pascal triangle is a mathematical expression that can be used to expand questions involving bracket, especially of high degree/ power. Example: [tex](a + b)^{9}[/tex] etc
For the given question, the Pascal triangle for the expansion is: 1 7 21 35 35 21 7 1
So that,
[tex](2x^{3}+3y^{2}) ^{7}[/tex] = 1.[tex](2x^{3}) ^{7}[/tex] + 7.[tex](2x^{3}) ^{6}[/tex].[tex]3y^{2}[/tex] + 21. [tex](2x^{3}) ^{5}[/tex].[tex](3y^{2}) ^{2}[/tex] + 35.[tex](2x^{3}) ^{4}[/tex].[tex](3y^{2}) ^{3}[/tex] + 35. [tex](2x^{3}) ^{3}[/tex].[tex](3y^{2}) ^{4}[/tex] + 21. [tex](2x^{3}) ^{2}[/tex].[tex](3y^{2})^{5}[/tex] + 7.[tex](2x^{3} )^{1}[/tex].[tex](3y^{2} )^{6}[/tex] + 1.[tex](3y^{2}) ^{7}[/tex]
= 128[tex]x^{21}[/tex] + 1344[tex]x^{18}[/tex][tex]y^{2}[/tex] + 6048[tex]x^{15}[/tex][tex]y^{4}[/tex] + 15120[tex]x^{12}[/tex][tex]y^{6}[/tex] + 22680[tex]x^{9}[/tex][tex]y^{8}[/tex] + 20412[tex]x^{6}[/tex][tex]y^{10}[/tex] + 10206[tex]x^{3}[/tex][tex]y^{12}[/tex] + 2187[tex]y^{14}[/tex]
Therefore;
[tex](2x^{3}+3y^{2}) ^{7}[/tex] = 128[tex]x^{21}[/tex] + 1344[tex]x^{18}[/tex][tex]y^{2}[/tex] + 6048[tex]x^{15}[/tex][tex]y^{4}[/tex] + 15120[tex]x^{12}[/tex][tex]y^{6}[/tex] + 22680[tex]x^{9}[/tex][tex]y^{8}[/tex] + 20412[tex]x^{6}[/tex][tex]y^{10}[/tex] + 10206[tex]x^{3}[/tex][tex]y^{12}[/tex] + 2187[tex]y^{14}[/tex]
Answer:
1, 8, 28, 56, 70, 56, 28, 8, 1
Step-by-step explanation:
Find the solution to -36 = -6b.
b =
PLEASE FAST
The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years. You have owned this CPU for three years. a. What is the probability that the CPU fails in the next three years? b. Assume that your corporation has owned 10 CPUs for three years, and assume that the CPUs fail independently. What is the probability that at least one fails within the next three years?
Answer: 0.39 ; 0.993
Step-by-step explanation:
Given that:
Mean of exponential distribution = 6
Using poisson :
P(X =x)Probability of failure in next 3 years :
Number of occurrences λ = 1 / 6 = 0.1667
P(X < 3) = 1 - e^-λx
P(X < 3) = 1 - e^-0.1667*3
P(X < 3) = (1 - e^-0.5)
P(X < 3) = 1 - 0.60653
P(X < 3) = 0.39346
= 0.393
B.)
Number of pc owned = 10 ; n = 10
P(atleast 1 fails) :
P(X ≥ 3)^n = 1 - [1 - P(X < 3)] ^n
P(X ≥ 3)^n = 1 - (1 - 0.393)^10
P(X ≥ 3)^n = 1 - 0.607^10
= 1 - 0.00679
= 0.993
This question is based on the probability. Therefore, the probability that the CPU fails in the next three years is 0.393 and the probability that at least one fails within the next three years is 0.993.
Given:
The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years. You have owned this CPU for three years.
(a) We need to determined the probability that the CPU fails in the next three year.
It is given that, mean of exponential distribution = 6
By using Poisson distribution:
P(X =x) Probability of failure in next 3 years :
[tex]Number\, of \,occurrences\, \lambda = \dfrac{1}{6} = 0.1667[/tex]
[tex]P(X < 3) = 1 - e^{-\lambda x}\\P(X < 3) = 1 - e^{-0.1667\times 3}\\P(X < 3) = (1 - e^{-0.5})\\P(X < 3) = 1 - 0.60653\\P(X < 3) = 0.39346= 0.393[/tex]
(b) We need to determined the probability that at least one fails within the next three years.
Number of pc owned = 10 ; n = 10
P(at least 1 fails) :
[tex]P(X \geq 3)^n = 1 - [1 - P(X < 3)] ^n\\P(X \geq 3)^n = 1 - (1 - 0.393)^{10}\\P(X \geq 3)^n = (1 - 0.607)^{10} = = 1 - 0.00679 = 0.993[/tex]
Therefore, the probability that the CPU fails in the next three years is 0.393 and the probability that at least one fails within the next three years is 0.993.
For more details, prefer this link:
https://brainly.com/question/11234923
A quadratic function, f(x), and its first differences are shown in the table.
Based on the values in the table, complete the statements.
The function is not linear; therefore, the are not constant.
Subtracting the first differences of –6 and –10 results in .
Subtracting the first differences of –2 and –6 results in .
Subtracting the first differences of 2 and –2 results in .
The second differences are .
Answer:
first differences,4,4,4,constant
Step-by-step explanation:
did on edge
Answer:
4
4
4
constant
Step-by-step explanation:
what is the area of a square with the side length of 3 1/3
Answer:
11 1/9 unit^2.
Step-by-step explanation:
3 1/3 * 3 1/3
= 10/3 * 10/3
= 100/9
= 11 1/9.
Write a linear equation to find the attendance y after x years. Let x be the number of years since 2010
Answer:
200 + 10 = 2010
Step-by-step explanation:
is wen i was born.
The amount of corn chips in a 16-ounce bag by the dispensing machine has a normal distribution with a mean of 16.5 ounces and a standard deviation of 0.2 ounce. What chip amount represents the top 13 percentile for the bag weight distribution? Round to the nearest hundredth.
How can I solve this using a calculator?
Answer: 1+1=2
Step-by-step explanation: Imagine you have 1 cookie, and a friend gives you 1 more, that means your total amount of cookies is 2. So that proves that 1+1=2!
what is the sum of 8/5/12 + 11/1/4
Answer:
2.833
Step-by-step explanation:
Answer:19/6/16
Step-by-step explanation:
Please help will give brainliest.
Answer:
X is the side on the bottom, Y is on the left, and Z is the hypotenuse
Answer:
below vv
Step-by-step explanation:
You will have to draw 3 triangles, one for each question. Then, mark the longest side (the hypotenuse) the letters:
in 1. u
in 2. p
in 3. z
then mark the shorter sides
in 1. s and t
in 2. m and n
in 3. x and y.
what equation shows y=3x-1/5 in standard from
15x+5y=−1
15x−5y=1
5x−15y=1
5x−15y=−1
Answer:
15x-5y=1
Step-by-step explanation:
y-3x=-1/5
multiply each side by 5
5y-15x=-1
15x-5y=1
Create an equivalent ratio to 30:40 by dividing both sides by 10. What is the equivalent ratio?
The equivalent ratio to the ratio 30 : 40 after dividing by 10 will be;
⇒ 3 : 4
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio is,
⇒ 30 : 40
Now,
When we dividing both sides by 10, we get;
Since, The ratio is;
⇒ 30 : 40
It can be written as;
⇒ 30 / 40
After dividing by 10, we get;
⇒ 30 / 40
⇒ (30 ÷ 10) / (40 ÷ 10)
⇒ 3 / 4
⇒ 3 : 4
Therefore,
The equivalent ratio to the ratio 30 : 40 after dividing by 10 will be;
⇒ 3 : 4
Learn more about the ratio visit:
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Que es más gramos o miligramos ?
Suppose a variable X (systolic blood pressure) is normally distributed with a variance of 36. If approximately 0.25 of the values of X are less than 88, what is the mean of X g?
Answer:
92.044
Step-by-step explanation:
The variance = 36
σ² = 36 = 6
The probability that x is less than 88 is equal to 0.25
So probability of (x<z) = 0.25
From the z table, z = -0.674
Using the z formula,
z = x-u/σ
Z = -0.674
X = 88
σ = 6
When we insert these formula we have:
-0.674 = 88 - u/6
6 x -0.674 = 88- u
-4.044 = 88 - u
92.044 = u
Therefore from the calculations above the mean of X is 92.044 and it is approximately 92.
