Answers
9514 1404 393
Answer:
a) 102.4
b) 72.6
c) 87.5
Step-by-step explanation:
The average value of a function over an interval is the integral of that function over the interval, divided by the width of the interval.
(a) The summer average is ...
[tex]\text{summer average}=\displaystyle\dfrac{1}{(\frac{1}{4})}\int_\frac{1}{2}^\frac{3}{4}{T(x)}}\,dx=87.5+23.4\cdot\dfrac{2}{\pi}\approx 102.4[/tex]
__
(b) The winter average is similar:
[tex]\text{winter average}=87.5-23.4\cdot\dfrac{2}{\pi}\approx 72.6[/tex]
__
(c) The annual average is the value added to the cosine function: 87.5
_____
Additional comment
The integral of the cosine function over the period of interest is ...
∫cos(2πx)dx = 1/(2π)sin(2πx)
For the limits x=1/2 and x=3/4, this becomes 1/(2π)(-1 -0) = -1/(2π).
When multiplied by -23.4(1/(1/4)), we get +23.4(2/π).
Related Questions
0.7 is 0.5% of what number?
Answers
...............140...............
A. Function
B. Not a function
Answers
Answer:
a
Step-by-step explanation:
hope this helps
Kara sells bracelets for $5 each. She represents the price of x bracelets with the expression 5 x. Which expression represents another way Kara could determine the price of x bracelets?
a: x 10/2
b: x+5
c:(x divided by 5) times 5
d: (x divided by 2 ) times 10
Answers
Answer:
C. x divided by 5 times 5
Answer: A
Step-by-step explanation: X is a variable is does not actually have a value also because 10/2 =5 and that's the same as x 5 or 5 x
Could you help me plz
Answers
Answer:
Step-by-step explanation:
(For a circle)
Circumference formula: π*2r
Area formula: π*r^2
1:
A)
π*2(3) =>6π=>18.84 m
B)
π*(3)^2=>9π=>28.27 m^2
2.
A)
π*2(3.1)=>6.2π=>19.47 m
B)
π*(3.1)^2=>9.61π=>30.19 m^2
Each of 16 students measured the circumference of a tennis ball by four different methods, which were: A: Estimate the circumference by eye B: Measure the diameter with a ruler, then compute the circumference C: Measure the circumference with ruler and string D: Measure the circumference by rolling the ball along a ruler
Answers
Answer:
Following are the solution to the given equation:
Step-by-step explanation:
Please find the complete question in the attachment file.
In point a:
[tex]\to \mu=\frac{\sum xi}{n}[/tex]
[tex]=22.8[/tex]
[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]
[tex]=\sqrt{\frac{119.18}{16-1}}\\\\ =\sqrt{\frac{119.18}{15}}\\\\ = \sqrt{7.94533333}\\\\=2.8187[/tex]
In point b:
[tex]\to \mu=\frac{\sum xi}{n}[/tex]
[tex]=20.6875[/tex]
[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]
[tex]=\sqrt{\frac{26.3375}{16-1}}\\\\=\sqrt{\frac{26.3375}{15}}\\\\ =\sqrt{1.75583333}\\\\ =1.3251[/tex]
In point c:
[tex]\to \mu=\frac{\sum xi}{n}[/tex]
[tex]=21[/tex]
[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]
[tex]=\sqrt{\frac{2.62}{16-1}}\\\\ =\sqrt{\frac{2.62}{15}} \\\\= \sqrt{0.174666667}\\\\=0.4179[/tex]
In point d:
[tex]\to \mu=\frac{\sum xi}{n}[/tex]
[tex]=20.8375[/tex]
[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]
[tex]=\sqrt{\frac{8.2975}{16-1}}\\\\ =\sqrt{\frac{8.2975}{15}} \\\\ =\sqrt{0.553166667} \\\\ =0.7438[/tex]
A town with a population of 5,000 grows 3% per year. Find the population at the end of
10 years.
Answers
Answer:
6,500
Step-by-step explanation:
5000x.03=150
150=3%
150x10=1500
1,500+5,000= 6,500
A circle has a diameter of
18
m. Find the area of the sector
whose central angle is 135°
Answers
Answer:
[tex]\boxed {\boxed {\sf \frac{ 243}{8} \pi , 95.3775, or \ 95.42587686 \ m^2 }}[/tex]
Step-by-step explanation:
When given the central angle in degrees, the formula for sector area is:
[tex]A=\frac{ \theta}{360} * \pi r^2[/tex]
where θ is the central angle and r is the radius.
We are given the diameter, so we must calculate the radius. The radius is half the diameter.
r= d/2The diameter is 18 meters.
r= 18 m/2 r= 9 mNow we know all the variables:
θ=135 r= 9 mSubstitute the values into the formula.
[tex]A=\frac{ 135}{360} * \pi (9)^2[/tex]
Solve the exponent first.
(9)²= 9 m *9 m= 81 m²[tex]A=\frac{ 135}{360} * (81 \ m^2) \pi[/tex]
Solve the fraction.
[tex]A=\frac{ 3}{8} * (81 \ m^2) \pi[/tex]
Multiply the two rational numbers.
[tex]A=\frac{243}{8} \pi \ m^2[/tex]
The answer can be left like this, in terms of pi, or can be multiplied.
Using 3.14 as pi[tex]A=\frac{243}{8} *3.14 \ m^2[/tex]
[tex]A= 95.3775 \ m^2[/tex]
Using the pi button as pi[tex]A= 95.42587685 \ m^2[/tex]
The area is 243/8 π, 95.3775, or 95.42587685 square meters.
In applications, we consider any event that has below 5% chance. Pick a card from a standard deck of 52 cards. A=The card is an Ace. B = The card is Spade Ace. Is this likely to occur or not?
Answers
Answer:
Step-by-step explanation:
P(A) = 4/52 = 0.07692 which is bigger than 5%
5% = 0.05
0.07 is above 5% which is surprising.
The P(Spade A) = 1/52 = 0.01923 which is under 2% which meets your criteria.
In which part of the graph is the distance from home constant?
Distance from home
4
5
Time
A. 4
B. 3
C. 2
D. 1
Answers
Answer:
I chose B. 3
Step-by-step explanation:
I chose B because the person is either staying still, not moving, or something of the sort.
give me stuff thats equivalent to 2/10
plz
i dont know my mafs
Answers
5x7=
5x7=5 x (_ + _)
5x7= (5x _) + (5x_)
5x7= _ + _
5x7=
Answers
5x7=5x(5+2)
5x7=(5x3)+(5x4)
5x7=20+15
5x7=35
This is how I would do it :)
Answer:
5x7=35
Step-by-step explanation:
Need help ASAP
Will mark you brainlist
Answers
5/6 is the slope and 4 is the y-intercept
what is 2x+7 plus 5 simplified
Answers
Answer:
2x+12
Step-by-step explanation:
add the 7 and the 5, you don't need to answer the equation you just need to shorten the equation.
just combine like terms which are 7 & 5 to get 2x+12
What is the value of x in the equation 1/5x - 2/3y = 30, when y = 15?
Answers
Answer:
x = (-150)/49
Step-by-step explanation:
Solve for x:
49 x + 150 = 0
Hint: | Isolate terms with x to the left hand side.
Subtract 150 from both sides:
49 x + (150 - 150) = -150
Hint: | Look for the difference of two identical terms.
150 - 150 = 0:
49 x = -150
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 49 x = -150 by 49:
(49 x)/49 = (-150)/49
Hint: | Any nonzero number divided by itself is one.
49/49 = 1:
Answer: x = (-150)/49
The occupancy of the room must be less than 437 people
a) p 437
c) p ≤ 437
d) p ≥ 437
Answers
One Season The Cougars won 20 games. They played a total of 25 games. Use the equation 20 + g = 25 to find g, the number of games the team lost.
Answers
Answer:
Step-by-step explanation:
20 + g = 25
-20 -20
g = 5
Riley used the distributive property to find the product of 37 and 24. Which expression could Riley have used to find the product of the two numbers?
20(30)+7
37(20)+4
24(30+7)
30(24+7)
Answers
Answer:
Step-by-step explanation:
The second one
Answer:
distributive property
Step-by-step explanation:
u should be use the 2nd one...
37(20)+7
Let f(x) be defined on the positive real numbers as follows:
Start with a number x.
Take the square root of the number and add 3 more than the number you started with.
Square the result and add 2 more than the original number.
Finally, divide the result by 2 more than the square of the original number.
Required:
Write a formula for f(x).
Answers
Answer:
[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
Step-by-step explanation:
We have to find the formula for f(x)
Let x be the number
According to question
Now,
[tex]\sqrt{x}+x+3[/tex]
Now,
After squaring we get
[tex](\sqrt{x}+x+3})^2[/tex]
Add x+2 to above result then, we get
[tex](\sqrt{x}+x+3})^2+2+x[/tex]
Then,
[tex]\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
Therefore, the formula for f(x) is given by
[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
Using the rational root theorem, identify all the possible rational roots of the equation x^4+25x^3-14x^2-19x+30
Answers
Answer: D on Edg
Step-by-step explanation:
Which are equations? Check all that apply.
Answers
Answer:
numbers 1,4,6,7 are all equations
Step-by-step explanation:
just look for the equal sign if there's no equal sign then its an expression not an equation
Answer:
All of the equations are the ones with the equal signs (=)
I hope this helps!
Simplify (x-y-5) (x-2)
Answers
Simplify
57
leaving your answer in index form.
Answers
A friend has offered to play a gambling game with you that involves flipping a coin that she has provided. You want to test the coin in advance for fairness before agreeing to gamble. Your friend is willing to let you flip it 50 times to determine if the probability of getting heads is actually 0.50, as it should be if the coin is fair. Is it necessary to check the 10% condition in this case
Answers
Answer:
The 10% condition would not apply here
Explanation:
The 10% condition is the recommended size of sample from the population to get a non biased result. The 10% condition requires that the sample be not more than 10% of the population.
Tossing a coin is an example of a Bernoulli trial. A Bernoulli trial is one that has two possible outcomes, this face of the coin or the other face of the coin. The 10% condition does not apply to Bernoulli trials that are independent events.
Therefore the 10% condition would not apply here because tossing a coin is an an independent event. An independent event is one with replacement.
Determine wether the following statement is always, sometimes, or never true. A regular polygon has all sides and angles congruent.
Answers
Answer:
most likely always. either that or sometimes I hope that answers your question!
The distance from Salvador’s job to his house is three times greater than the distance from his house to the school. If his house is between his job and the school and the distance from his job to the school is 6 miles, how far is it from Salvador’s house to the school?
SHOW YOUR WORK pls and ty
Answers
Answer:
His school is 1.5 miles away :)
Step-by-step explanation:
6/4 = 1.5 miles
1.5 miles means his house is 1.5 miles from his school
Check the answer (1.5 times 3) = 4.5 miles so his job is 4.5 miles away.
4.5 + 1.5 = 6 miles
The distance between Salvador's house and his school is 1.5 miles
Let :
Distance from house to school = dTherefore;
Distance from job to house = 3dThen ;
Distance from job to school = 6 milesSince, house is in between job and school :
Distance from job to school = d + 3d 6 miles = 4d d = 6 ÷ 4 = 1.5 milesThe distance from house to school = d ; hence, distance between his house and school is 1.5 miles.
Learn more : https://brainly.com/question/8018593?referrer=searchResults
what is the nearest number to 1000 but smaller than 1000 into which 38 will divide with no remainder
Answers
Divide 1000 by 38:
1000/ 38 = 26.316
Use the whole number and multiply it by 38:
26 x 38 = 988
The number is 988
Mrs. Write makes cookies for the school bake sale. She uses the equation y=0.50x to determine the cost, y, for x cookies. Which best represents the constant rate at which cookies are sold at the bake sale?
A) 5 cookies per dollar
B) $2 per cookie
C) 50 cookies per dollar
D) $0.50 per cookie
Answers
Answer:D
Step-by-step explanation: just trust me on this one i have a 103% in 9th grade math
PLEASE I WILL GIVE BRAINLYIEST Determine which numbers the equations can be multiplied by to create opposite terms of the x-variable.
1/2x-1/4y=-3
-1/3x + 2/3y = 5
Which number can the first equation be multiplied by?
Which number can the second equation be multiplied by?
Answers
Answer:
For the first 2 for the second 3
Step-by-step explanation:
first would be 1x the second would be -1x
Answer:
2 and 3
Step-by-step explanation:
What is a function? *
Answers
Answer:
A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.
Step-by-step explanation:
hope this helps
can someone help plssss
Answers
Answer:
Step-by-step explanation:
11y-36=63
11y=99
y=9
