Round 14,465 to the nearest ten thousands place:
Answer:
10,000 is the answer
Step-by-step explanation:
14 465
round up the 4 which is 0 then your answer would be 10000
In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was with a standard deviation of . (a) What response represents the percentile? (b) What response represents the percentile? (c) What response represents the quartile? (a) The response that represents the percentile is nothing. (Round to two decimal places as needed.) (b) The response that represents the percentile is nothing. (Round to two decimal places as needed.) (c) The response that represents the quartile is nothing. (Round to two decimal places as needed.)
Answer:
(a) 8.35
(b) 5.98
(c) 3.86
Step-by-step explanation:
The complete question is:
In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was 5.4 with a standard deviation of 2.3. (a) What response represents the 90th percentile? (b) What response represents the 60th percentile? (c) What response represents the first quartile?
Solution:
Assume that the world happiness ratings follows a Normal distribution with parameters μ = 5.4 and σ = 2.3.
(a)
Compute the response representing the 90th percentile as follows:
P (X < x) = 0.90
⇒ P (Z < z) = 0.90
The value of z for the above probability is, z = 1.282.
Compute the value of x as follows:
[tex]x=\mu+z\sigma[/tex]
[tex]=5.4+(1.282\times 2.3)\\\\=5.4+2.9486\\\\=8.3486\\\\\approx 8.35[/tex]
Thus, the response representing the 90th percentile is 8.35.
(b)
Compute the response representing the 60th percentile as follows:
P (X < x) = 0.60
⇒ P (Z < z) = 0.60
The value of z for the above probability is, z = 0.25.
Compute the value of x as follows:
[tex]x=\mu+z\sigma[/tex]
[tex]=5.4+(0.25\times 2.3)\\\\=5.4+0.575\\\\=5.975\\\\\approx 5.98[/tex]
Thus, the response representing the 60th percentile is 5.98.
(c)
Compute the response representing the first quartile of the 25th percentile as follows:
P (X < x) = 0.25
⇒ P (Z < z) = 0.25
The value of z for the above probability is, z = -0.67.
Compute the value of x as follows:
[tex]x=\mu+z\sigma[/tex]
[tex]=5.4+(-0.67\times 2.3)\\\\=5.4-1.541\\\\=3.859\\\\\approx 3.86[/tex]
Thus, the response representing the first quartile is 3.86.
3b. For each differential equation, find the Laplace transform of the solution y:
y'' − y = 5e^−4x + 2x, y(0) = y'(0) = 0.
Answer:
[tex]y(x)=-2x-\frac{11}{6}e^{-x}+\frac{3}{2}e^x+\frac{1}{3}e^{-4x}[/tex]
Step-by-step explanation:
[tex]y''-y=5e^{-4x}+2x,\: y(0)=y'(0)=0\\\\\mathcal{L}\{y''\}-\mathcal{L}\{y\}=\mathcal{L}\{5e^{-4x}\}+\mathcal{L}\{2x\}\\\\s^2Y(s)-sy(0)-y'(0)-Y(s)=\frac{5}{s+4}+\frac{2}{s^2}\\ \\s^2Y(s)-Y(s)=\frac{5}{s+4}+\frac{2}{s^2}\\ \\(s^2-1)Y(s)=\frac{5}{s+4}+\frac{2}{s^2}\\ \\Y(s)=\frac{5}{(s+4)(s^2-1)}+\frac{2}{s^2(s^2-1)}\\ \\Y(s)=\frac{5s^2+2(s+4)}{s^2(s+4)(s^2-1)}\\ \\Y(s)=\frac{5s^2+2s+8}{s^2(s-1)(s+1)(s+4)}[/tex]
Perform the partial fraction decomposition
[tex]\frac{5 s^{2} + 2 s + 8}{s^{2} \left(s - 1\right) \left(s + 1\right) \left(s + 4\right)}=\frac{A}{s}+\frac{B}{s^{2}}+\frac{C}{s + 1}+\frac{D}{s - 1}+\frac{E}{s + 4}\\\\5 s^{2} + 2 s + 8=s^{2} \left(s - 1\right) \left(s + 1\right) E + s^{2} \left(s - 1\right) \left(s + 4\right) C + s^{2} \left(s + 1\right) \left(s + 4\right) D + s \left(s - 1\right) \left(s + 1\right) \left(s + 4\right) A + \left(s - 1\right) \left(s + 1\right) \left(s + 4\right) B[/tex]
[tex]5 s^{2} + 2 s + 8=s^{4} A + s^{4} C + s^{4} D + s^{4} E + 4 s^{3} A + s^{3} B + 3 s^{3} C + 5 s^{3} D - s^{2} A + 4 s^{2} B - 4 s^{2} C + 4 s^{2} D - s^{2} E - 4 s A - s B - 4 B\\\\5 s^{2} + 2 s + 8=s^{4} \left(A + C + D + E\right) + s^{3} \left(4 A + B + 3 C + 5 D\right) + s^{2} \left(- A + 4 B - 4 C + 4 D - E\right) + s \left(- 4 A - B\right) - 4 B[/tex]
Solve for each constant
[tex]\begin{cases} A + C + D + E = 0\\4 A + B + 3 C + 5 D = 0\\- A + 4 B - 4 C + 4 D - E = 5\\- 4 A - B = 2\\- 4 B = 8 \end{cases}[/tex]
[tex]-4B=8\\B=-2[/tex]
[tex]-4A-B=2\\-4A-(-2)=2\\-4A+2=2\\-4A=0\\A=0[/tex]
[tex]A+C+D+E=0\\C+D+E=0\\E=-C-D[/tex]
[tex]-A+4B-4C+4D-E=5\\4(-2)-4C+4D-(-C-D)=5\\-8-4C+4D+C+D=5\\-3C+5D=13\\5D=13+3C[/tex]
[tex]4A+B+3C+5D=0\\4(0)+(-2)+3C+13+3C=0\\-2+6C+13=0\\11+6C=0\\6C=-11\\C=-\frac{11}{6}[/tex]
[tex]5D=13+3C\\5D=13+3(-\frac{11}{6})\\5D=13-\frac{33}{6}\\5D=\frac{15}{2}\\D=\frac{15}{10}\\D=\frac{3}{2}[/tex]
[tex]E=-C-D\\E=-(-\frac{11}{6})-(\frac{3}{2})\\E=\frac{11}{6}-\frac{3}{2}\\E=\frac{2}{6}\\E=\frac{1}{3}[/tex]
Take the inverse transform and solve for the IVP
[tex]Y(s)=\frac{0}{s}+\frac{-2}{s^2}+\frac{-\frac{11}{6}}{s+1}+\frac{\frac{3}{2}}{s-1}+\frac{\frac{1}{3}}{s+4}\\ \\y(x)=-2x-\frac{11}{6}e^{-x}+\frac{3}{2}e^x+\frac{1}{3}e^{-4x}[/tex]
3x-8=3(x-3)-2
Is there a answer to this problem? I cant find one
Answer:
The input is a contradiction: it has no solutions
Find the volume of a right rectangular prism if the dimensions of the base are 4 centimeters by 9 centimeters and the height is 11 centimeters.
A 396^3.
B 241^3.
C 144^3.
D 370^3.
396 cm²
Volume of rectangular prism - -
Formula's :
Length * Width * HeightBase area * HeightHere base area:
Length * Width
4 * 9
36 cm²
Volume:
Base area * Height
36 * 11
396 cm²
Find dy/dx in terms of x and y
3x sin y + 2 cos y = sin x
[tex]3x\sin y+2\cos y=\sin x[/tex]
[tex]\dfrac{\mathrm d(3x\sin y+2\cos y)}{\mathrm dx}=\dfrac{\mathrm d(\sin x)}{\mathrm dx}[/tex]
[tex]\dfrac{\mathrm d(3x)}{\mathrm dx}\sin y+3x\dfrac{\mathrm d(\sin y)}{\mathrm dx}+\dfrac{\mathrm d(2\cos y)}{\mathrm dx}=\cos x[/tex]
[tex]3\sin y+3x\cos y\dfrac{\mathrm dy}{\mathrm dx}-2\sin y\dfrac{\mathrm dy}{\mathrm dx}=\cos x[/tex]
Solve for dy/dx :
[tex]3\sin y+\left(3x\cos y-2\sin y\right)\dfrac{\mathrm dy}{\mathrm dx}=\cos x[/tex]
[tex]\left(3x\cos y-2\sin y\right)\dfrac{\mathrm dy}{\mathrm dx}=\cos x-3\sin y[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\boxed{\dfrac{\cos x-3\sin y}{3x\cos y-2\sin y}}[/tex]
x + 3y=9
x + y = 21
Solve it algebraically
Answer:
[tex]x=27[/tex]
[tex]y=-6[/tex]
Step-by-step explanation:
substitute in values
[tex]x=21-y[/tex]
[tex](21-y)+3y=9[/tex]
[tex]21+2y=9[/tex]
[tex]2y=-12[/tex]
[tex]y=-6[/tex]
[tex]x+(-6)=21[/tex]
[tex]x=27[/tex]
.
evaluate 16^-3/4
Evaluation of the exponents
Answer:
I think it is -12
Multiply -0.75 (3 quarters) by 16.
The negative cancels out the positive number.
Since the exponent is not saying multiply the number by itself a number of times, we could make a hypothesis that this is just multiplication.
Normally, this ↑ is not the case, but here, I could make an exception.
I hope this helps you, let me know if you need something else.
The graph of a proportional relationship contains the point (8, 4).
What is the corresponding equation?
y=−2/1x
y=−1/2x
y=1/2x
y=2/1x
Please Help
Answer:
y = 1/2x
Step-by-step explanation:
Points are (8,4)
x = 8
x = 8y = 4
y= −2/1x
4= -2(8)
4= -16
That's wrong
y= −1/2x
4= -1/2(8)
4= -4
That's wrong
y=1/2x
4=1/2(8)
4=4
That's right
y=2/1x
4=2(8)
4=16
That's wrong
So the answer is choice C
(-5xy)(-9xy) (-2xy) =
Simplify
Answer:
-90x^3y^3
Step-by-step explanation:
Show all steps necessary to verify the trigonometric identity:
1 - 2cos^2x = 2sin^2x - 1
Step-by-step explanation:
please mark me as brainlest
Using trigonometric identity sin²θ+cos²θ=1, the given identity is proved.
The given trigonometric identity is 1-2cos²x = 2sin²x-1.
What are trigonometric identities?Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation. There are various distinct trigonometric identities involving the side length as well as the angle of a triangle.
Using trigonometric identity sin²θ+cos²θ=1
Here, 1-2cos²x = 2sin²x-1
⇒ 1+1=2sin²x+2cos²x
⇒ 2=2(sin²x+cos²x)
⇒ 2=2(1)
⇒ 2=2
LHS=RHS
Therefore, using trigonometric identity sin²θ+cos²θ=1, the given identity is proved.
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https://brainly.com/question/24377281.
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A news article reports that 52% of voters plan to vote for Vicente and 48% of voters plan to vote for Raul.
The margin of error is 3%.
Is there enough statistical evidence to say that Vicente is in the lead?
No, because the confidence interval do not overlap we do not have enough evidence to say that the parameters are different.
Confidence interval of the dataThe confidence interval will help to determine if there is enough evidence in the statistical data draw conclusion that Vicente has the lead.
The confidence interval is 48% - 3% to 48% + 3%, which is equivalent to 45% to 51%.
Since 52% does not lie in the above interval, therefore we can say no, because the confidence interval do not overlap we do not have enough evidence to say that the parameters are different.
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Answer:
Step-by-step explanation:
NO
2
Type the correct answer in the box. Use numerals instead of words.
What is the total surface area of an equilateral triangular pyramid with base side lengths of 6 feet and a height of 10 feet?
The total surface area is about
square feet.
107
110
132
93
The area of the equilateral triangular pyramid is the amount of space on it
The total surface area is 107 square feet
How to determine the total surface area?The given parameters are:
Base (b) = 6 feet
Slant height (l) = 10 feet
The lateral surface area is calculated using:
L = 1.5bl
So, we have:
L = 1.5 * 6 * 10
Evaluate the product
L = 90
The total surface area is calculated using:
T = L + 0.25√3b^2
So, we have:
T = 90 + 0.25√3 * 6^2
Evaluate
T = 107
Hence, the total surface area is 107 square feet
Read more about areas at:
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Answer:
107 sq ft
Step-by-step explanation:
Got it right on Edmentum
Hook me up with a 5 star and a Thanks :)
A restaurant decides to test their oven's thermostat to see if it is working properly, that is, if the actual temperature inside the oven is the same as the temperature to which the thermostat was set. Twenty times, the oven was set at 350 degrees and then the temperature was measured with a thermometer. The chef wants to know if the average oven temperature is different from 350, when the thermostat is set at 350. What is the correct null and alternative hypothesis for this test
Considering the situation described in the exercise, it is found that the correct null and alternative hypothesis for this test are given by, respectively:
[tex]H_0: \mu = 350[/tex]
[tex]H_1: \mu \neq 350[/tex]
What are the hypothesis tested?At the null hypothesis, it is tested if the mean is of 350 degrees, that is:
[tex]H_0: \mu = 350[/tex]
At the alternative hypothesis, it is tested if the mean is different of 350 degrees, hence:
[tex]H_1: \mu \neq 350[/tex]
More can be learned about the test of an hypothesis at https://brainly.com/question/26454209
How much will a person pay for 7 pounds of bananas at a price of $0.49 per pound?
<
Answer:
$3.43
Step-by-step explanation:
Multiply 7 by 0.49
Please help asap! I will gave brainlest!
Answer:
0,180
Step-by-step explanation:
[tex]8 \tan(x) = 0[/tex]
[tex] \tan(x) = 0[/tex]
[tex]x = 0 + 180n[/tex]
This means 0, 180 are the solutions.
Write 24:18 in a simplest form
Answer:
4:3
Step-by-step explanation:
24:18
Divide each side by 6
24/6 : 18/6
4:3
Name the relationship between ∠a and ∠b.
Answer:
B. Adjacent
Step-by-step explanation:
Supplementary angles add up to 180 degrees, so cross of A. Vertical angles are directly across from each other, so cross off C. Corresponding angles are related to lines and a transversal which you don't have, so you can cross of D, leaving the answer as B.
Hopefully this helps - let me know if you have any questions!
Matthew's family traveled 3/8 of the distance to his grandmother’s house on Saturday. They traveled 3/5 of the remaining distance on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?
Answer:
3/8 of the total distance.
Step-by-step explanation:
After Saturday = 8/8 - 3/8 = 5/8 of distance left.
Sunday = 5/8 x 3/5 = 3/8 distance.
Hope this helps!
The pH scale measures the acidity of a liquid as a function of its hydrogen ion(H+) concentration pH=-log[H+] A chemist needs to prepare a solution with a pH of three. What H+ concentration should the solution have?
Answer:
H+ = 0.001
Step-by-step explanation:
3 = -log[H+]
Identity to use: [tex]-log_{b}(a) = log_{b}(1/a)[/tex]
3 = log[ 1 / H+ ]
Identity to use: [tex]10^{log(x)} = x[/tex]
Therefore, I am going raise each side of the equation to the power of 10 to isolate [ 1 / H+ ]
10³ = [tex]10^{log(\frac{1}{H+} )}[/tex]
1000 = 1 / H+
H+ = 1 / 1000
Answer: H+ = 0.001
how many different simple random samples of size 5 can be obtained from a population whose size is 45
?
This value is slightly over 1.2 million
========================================================
How I got that answer:
We have 45*44*43*42*41 = 146,611,080 different permutations. I started with 45 and counted down by 1 until I had 5 values multiplied out.
If order mattered, then we would stop here. But order doesn't matter. All that matters is the group overall rather than any particular individual or how they rank in the group.
There are 5! = 5*4*3*2*1 = 120 different ways to arrange a five item set, so the very large result we got earlier is overcounting by a factor of 120.
To fix this, we divide by 120 to get
(146,611,080)/120 = 1,221,759
This represents the number of combinations in which we're selecting 5 members from a pool of 45 total.
You could use the nCr formula
[tex]_nC_r = \frac{n!}{r!*(n-r)!}[/tex]
with n = 45 and r = 5 to get the same answer in bold above.
Using the principle of Combination, the number of different random samples of size five which can be obtained form a population of 45 is 1221759
Using the principle of combination, which is defined as :
nCr = n! ÷ (n-r)!r! n = 45 r = 5Hence,
45C5 = 45! ÷ (45 - 5)!5!
45C5 = 45! ÷ 40!5!
45C5 = (45 × 44 × 43 × 42 × 41) / (5 × 4 × 3 × 2 × 1)
45C5 = 1221759
Therefore, there are 1221759 ways of making a selection of 5 samples from a population of size 45.
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WORTH 100 POINTS WILL PICK BRAINLYLIST Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each prism with its volume or dimensions.
Answer:
1, 1/2, 3/2
Step-by-step explanation:
This is a prism (a 3d rectangle) and so your formula for finding the volume is V= L x W x H.
For the prism:
L= 1 (4 cubes x 1/4 = 4)
W = 1/2 (2 cubes x 1/4 = 1/2)
H = 3/2 (6 cubes x 1/4 = 6/4 = 3/2)
That's your answer, the tile 1, 1/2, 3/2
Find the measure of the angle. (two more and i'm done, sorry)
Answer:
c=102°
b=(360-204)/2 = 78°
Answers:
b = 78
c = 102
=================================
Explanation:
Let's find angle b. This angle adds to the 102 to get 180 since the two angles form a straight angle.
102+b = 180
b = 180-102
b = 78
Then we can apply the same idea to find angle c
b+c = 180
78+c = 180
c = 180-78
c = 102
A shortcut to find angle c is to recall that vertical angles are congruent. The proof of the vertical angle theorem is effectively the steps shown above.
Rewrite as equivalent rational expressions with denominator (a−7)(a−2)(a+8):
Answer:
[tex] \dfrac{3(a + 8)}{(a - 7)(a - 2)(a + 8)} [/tex]
[tex] \dfrac{8a(a - 2)}{(a - 7)(a - 2)(a + 8)} [/tex]
Step-by-step explanation:
[tex] \dfrac{3}{a^2 - 9a + 14} = [/tex]
[tex] = \dfrac{3}{(a - 7)(a - 2)} [/tex]
[tex] = \dfrac{3(a + 8)}{(a - 7)(a - 2)(a + 8)} [/tex]
[tex] \dfrac{8a}{a^2 + a - 56} = [/tex]
[tex] = \dfrac{8a}{(a + 8)(a - 7)} [/tex]
[tex] = \dfrac{8a(a - 2)}{(a - 7)(a - 2)(a + 8)} [/tex]
A shopkeeper buys a dress for $40
She sells it for $48
Work out the percentage increase in the price of the dress.
Answer:
48 - 40 = $8, there is a $8 dollar increase.
Formula for change of percentage;
changed price
___________ x 100% (100/100)
original amount
Replace those values with the values we found;
40/48 x 100/100 = 20% increase.
A skating rink charges $5 per hour plus $3 to rent skates. A second skating rink charges $6 per game plus $2 to rent skates. How many games would person have to play for the two skating rinks to cost the same amount?
Answer:
Each of them would play 2 games to get the same cost amount
Step-by-step explanation:
for example
#1) $5 + $3 = $8 x 2 = $16
#2) $6 + $2 = $8 x 2 = $16
A cone-shaped frozen yogurt cup has a radius of 5 cm and a height of
9 cm. How many cubic centimeters of frozen yogurt can the cup hold?
Approximate your answer to the nearest hundredth.
Answer:
235.62 Cubic centimeters
Step-by-step explanation:
[tex]v = \frac{1}{3}\pi \: r {}^{2} h \: = \frac{1}{3} \times \pi \times 5 {}^{2} \times 9 \\ \\ = 75\pi = 235.62[/tex]
Answer:
235.62 Cubic centimeters
Step-by-step explanation:
have a nice day.
Someone good at math pls help me will give brainlist and the most life saver in the world
Answer:
The answer is -46,8
ok so!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! mark me brainliest
Can someone please help me with this? I have a test tommorow on this subject and I'm very confused. :(
Prism: V = Bh
Cylinder: V = πr²h
Answer:
452.16 in. or 144π if the answer needs to be in terms of pi.
Step-by-step explanation:
In this case, all of the information is given to you. You can determine this is a cylinder because of its circular bases. Your height is given on the side as 9in. Your radius is given on the base as 4in. You can tell that this value is the radius and not the diameter because the line only covers half of the circular base. If the line went from one edge to the other, you would need to divide the given value by 2. From there, you can just plug the numbers into the proper equation.
V = πr²h
V = π(4)²(9)
V = 452.16 or 144π
PLSSSS THIS IS 20 POINTS AND U GET BRAINLIEST!!! Are the lines x = 2 and y = 5 parallel? Are the perpendicular? Explain.