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
Find the area of the following shape:
Answers
Answer:
30 cm
Step-by-step explanation:
the area is 1/2 base x height
so (1/2)x10 x 12
Answer:
60 cm squared
Step-by-step explanation:
The 13 cm is just to distract you.
The formula for calculating a triangle is (base x height)/2.
The base is 10 cm, and the height is 12 cm.
Then you plug in the numbers.
(10 x 12)/2=60 cm squared.
Name a fraction that is equivalent to three twelfths and also has a denominator that is less than 12. Explain how you found your answer
Answers
Answer:
In my knowledge
3/12 = 8/2
3×8=24, 12×2=24 = 8/2
so
8/2 is the fraction that is equivalent to three twelfths
I'm so lost on this work
Answers
Answer:
Typist A can type faster
Step-by-step explanation:
Replace the t in w = 50t with any numbers and graph the points you get
You can see that typist A can type 50 words per minute when typist B can only type 40
2. Use the figure below and angle relationships to
find the measure of each angle.
54°
1
2
Answers
Answer:
m<1 = 90°
m<2 = 36°
Step-by-step explanation:
✔️m<2 + 54° = 90° (complementary angles)
m<2 = 90° - 54° (subtraction property of equality)
m<2 = 36°
✔️m<1 = m<2 + 54° (supplementary angles)
m<1 = 36° + 54°
m<1 = 90°
An item has increased by
23% to £58.
What was the original
price?
Answers
Answer:
The answer is 44.66
Step-by-step explanation:
Multiply 58 by 0.23. This will give you 13.34. Next, you subtract this from 58 to get your original price.
What is the solution to (4/2)4 + (1 + 3)?
Answers
what is the radius of a circle with an area of 212 in squared. please please simplify for me....
Answers
Answer:
8.22in
Step-by-step explanation:
Area of circle = πr²
r is the radius
Given
Area = 212in²
Substitute
212 = πr²
r² = 212/3.14
r² = 67.52
r = √67.52
r = 8.22in
hence the radius of the circle is 8.22in
The cost of a concert ticket last week was $75. This week the concert ticket is $84. What is the percent increase of the ticket from last week to this week?
Answers
Answer:
12%
Step-by-step explanation:
75/84= 0.88 then you do 1-0.88= 0.12. 12%
Jane has 6 more than twice the number of pairs of shoes that Mary has.
Write an expression for this. Use s as your variable for the shoes.
Answers
Answer:
im not sure
Step-by-step explanation:
1. Determining the probability of a coin landing heads up by actually tossing a coin several times is an example of what?
A. sample probability
B. theoretical probability
C. experimental probability
D. outcome probability
Answers
Answer:
C.
Step-by-step explanation:
Theoretical probability and Experimental probability are related in that theoretical probability is based on your reasoning (e.g. two sides; therefore, there is a 50% chance of heads), but experimental probability is where your numbers are based off of actual results (e.g. you landed head 1/4th of the time; therefore, there is a 25% chance of getting heads.)
How many zeros does the function f(x) = 17x^15 - 11x^9 + 27x^3 – 13x + 12 have?
Answers
Answer:
15
Step-by-step explanation:
The amount of zeros of a function depends on the highest degree of such function.
Since the highest degree of the given polynomial is 15, hence the function will have 15 zeros
3. A cube has a length of 9 inches. Find its volume.
A. 486 in^3
B.639 in^3
C.729 in^3
D. 819 in^3
Answers
Answer:
C
Step-by-step explanation:
[tex]x^{3}[/tex]=volume of cube
x= length, width, or height
9*9*9=729
C
50+50, please help me need to pass pree schol
Answers
Answer:
100 lol thanks
Step-by-step explanation:
25+25=50 50+25=75 75+25+100
someone please help??
Answers
9514 1404 393
Answer:
Isabel
Step-by-step explanation:
Gavin saves 28% (given).
Harry saves 1 -3/4 = 1/4 = (1/4)·100% = 25%.
Isabel saves 3/(3+7)·100% = 30%.
Isabel saves the largest fraction of her salary each month.
-
Find the size of angle x.
Х
65
35
Answers
Answer:
80 degrees
Step-by-step explanation:
The total angle measure of a triangle, no matter the type, is always 180 degrees.
Using this, we can calculate the missing angle:
[tex]180=65+35+x[/tex]
[tex]x=180-(65+35)[/tex]
[tex]x=180-100[/tex]
[tex]x=80[/tex]
The measure of angle x in the triangle is 80 degrees.
What is the measure of angle x?The figure in the image is a triangle.
From the diagram:
Angle 1 = x
Angle 2 = 65 degrees
Angle 3 = 35 degrees
To solve for the measure of angle x, we use the fact the the sum of the interior angle of a triangle equals 180 degrees.
Hence:
Angle 1 + Angle 2 + Angle 3 = 180
Plug in the values:
x + 65 + 35 = 180
Collect and add like terms:
x + 100 = 180
Subtract 100 from both sides:
x + 100 - 100 = 180 - 100
x = 180 - 100
x = 80°
Therefore, angle x has a measure of 80 degrees.
Learn more about the interior angles in a triangle here: https://brainly.com/question/33265804
#SPJ2
(2 3/8 +1 1/4)+ 2 7/8 using properties of addition
Answers
Answer:
Well The answer is: 9
Step-by-step explanation:
(2 3/8 + 11/4)=
(2 + 3) + (3/8 + 3/4)= 6 1/8
(6 1/8 + 2 7/8) =
(6 + 2) + (1/8 + 7/8) = 9
Pls give me brainliest i hope this helped
Christy works at the grocery store and has 242 apples to fit into 15 boxes. She fills all
of the boxes with exactly the same number of apples and sends the leftover apples to
the homeless shelter. How many apples fit into each box, and how many are going to
the homeless shelter?
16 apples go into each box, and 2 go to the homeless shelter.
O 15 apples go into each box, and 2 go to the homeless shelter,
15 apples go into each box, and 13 go to the homeless shelter.
16 apples go into each box, and 13 go to the homeless shelter.
Answers
Answer:
16 apples and 2 goes to the homeless shelter.
Step-by-step explanation: long division. 242/15= 16 with a remainder of 2.
Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.
Answers
(Substitute y= 0)
0=6x-18
(Move the variable to the left)
-6x=-18
(Divide both sides)
The answer is X= 3
Answer:
So, (0,−18), (4,6), and (3,0) are some solutions to y=6x−18.
Step-by-step explanation:
Find c.
Round to the nearest tenth.
20 ft
50°
15 ſt
c= [.? ]ft
Law of Cosines: c2 = 22 + b2 - 2ab cos C
Answers
Answer:
: c2 = a2 + b2 - 2ab cos C
c²=20²+15²-2×15×20×cos50
c²=400+225-600×0.64
c²=241
c=√241=15.5ft
The value of c for the given triangle can be obtained as 239.3 ft.
What is cosine law?The cosine law for a triangle is derived from the parallelogram law of addition for two vectors.
It is given as for a triangle having sides a, b and c, the cos of the angle between sides a and b is given by,
cos(x) = (a^(2) + b^(2) - c^(2)) / (2 × a × b).
For the given diagram of a triangle, law of cosines can be applied as,
c² = a² + b² - 2abCos C
Substitute a = 15, b = 20 and ∠C = 50° to obtain,
c² = 15² + 20² - 2 × 15 × 20Cos C
c² = 625 - 600Cos(50°)
⇒ c = 239.3
Hence, the length of the other side of the triangle can be obtained as 239.3 ft.
To know more about cosine law click on,
https://brainly.com/question/17289163
#SPJ2
A diet claims to help lose weight. A dietician wants to see if a particular diet helps lose weight. 120 people were on the diet for 6 months. After 6 months, the sample mean of weight loss was 0.8 pound with sample SD of 2 pounds. The distribution is more or less normal. What kind of hypothesis testing do we use
Answers
Answer:
d. t-test for means
Step-by-step explanation:
Options are "a. z-test for proportions, b. z-test for means, c. none of the other three answers, d. t-test for means"
Sample size = n = 120
Sample mean = x = 0.8
Sample standard deviation = s = 2
Claim: A particular diet helps loss weight.
Hypothesis test
The null and alternative hypothesis is
H0 : μ = 0
Ha : μ < 0
Now, when population standard deviation is unknown we use t-test otherwise use z-test. So, the kind of hypothesis testing that we use is t-test for means.
If you Start with $10 in the bank and each month you add $20 which line equation will give you your total amount after X months?
Answers
Answer:
y=20x+10
Step-by-step explanation:
You start with $10, so this will be added on, and is not affected by the number of months.
You add $20 each month, so the 20 is dependant on x.
ANSWER: y=20x+10
The amount of time workers spend commuting to their jobs each day in a large metropolitan city has a mean of 70 minutes and a standard deviation of 20 minutes. Assuming nothing is known about the shape of the distribution of commuting times, what percentage of these commuting times are between 30 and 110 minutes
Answers
Answer:
At least 75% of these commuting times are between 30 and 110 minutes
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
Mean of 70 minutes, standard deviation of 20 minutes.
Since nothing is known about the distribution, we use Chebyshev's Theorem.
What percentage of these commuting times are between 30 and 110 minutes
30 = 70 - 2*20
110 = 70 + 2*20
THis means that 30 and 110 minutes is within 2 standard deviations of the mean, which means that at least 75% of these commuting times are between 30 and 110 minutes
Tatiana is buying b number of books and m number of magazines at the book fair. The books cost $4 each and the magazines cost $2 each. Tatiana's total purchase can be shown with this expression: 4b+2m. Which
expression is equivalent to 4b+2m
Answers
Answer:
[tex]4b + 2m = 2(2b + m)[/tex]
Step-by-step explanation:
Given
[tex]4b + 2m[/tex]
Required
Write an equivalent expression
To do this, we simply write [tex]4b + 2m[/tex] as a product of two factors.
Express 4b as 2 * 2b
[tex]4b + 2m = 2 * 2b + 2m[/tex]
Express 2m as 2 * m
[tex]4b + 2m = 2 * 2b + 2 * m[/tex]
Factor 2 out of the expression:
[tex]4b + 2m = 2 *(2b + m)[/tex]
[tex]4b + 2m = 2(2b + m)[/tex]
Hence:
An equivalent expression is: [tex]2(2b + m)[/tex]
Craig has 5/8 of a bottle of glue but the recipe calls for three quarters a bottle. Does he have enough
Answers
Answer:
No, he doesn't have enough
Step-by-step explanation:
In eights, three quarters of a bottle is equal to 6/8.
Since 5/8 is smaller than 6/8, Craig won't have enough glue.
So, the answer is no.
Answer:
NO
Step-by-step explanation:
3/4 converted to eighths is 6/8. and 6/8 is greater than 5/8
A carpenter worked 10 weeks on a particular job, 51/2 days per week and 7 3/4 hours per day. How many hours did the carpenter work on the job?
Answers
Answer:
= 426 1/4 hr.
Step-by-step explanation:
5 1/2 = 5.5 Days in a week
7 3/4 = 7.75 hr. Per Day
Total hours in a week = 5.5 × 7.75 = 42.625 hr in a week
In 10 weeks = 42.625 × 10 = 426.25 hr.
John estimates that there is 150 people at the party. After counting, there are actually 148 people at the party
Find the percent error.
round your answer to the nearest hundredth
Answers
What is 1/9 as whole number
Answers
Answer:
4/3
Step-by-step explanation:
because it is just that
Answer:
0.11111111111
Step-by-step explanation:
Which situation is represented by n + 12 = 25?
A.Sheri has a collection of coins that contains a minimum of 25 coins. Her collection contains nickels and quarters. She has 12 quarters. What are th
possible numbers of nickels in her collection, n?
B.The height of a rectangle is 12 units. The rectangle has an area greater than 25 square units. What are the possible values for the base of the
rectangle, n?
C.There are 25 students in Mrs. Greer's third period class. Twelve of the students are girls. How many boys, n, are in the class?
D.The product of 12 and a number, n, is greater than or equal to 25. What are the possible values of n?
Answers
Answer:
B,
Step-by-step explanation:
The height of a rectangle is 12 units. The rectangle has an area greater than 25 square units. What are the possible values for the base of the
rectangle, n?
Identify the place value of the digit 5 in the following whole number 905
Answers
Can someone please answer my question?????
Answers
Answer:
x ≤ -1
Step-by-step explanation:
3( 3x +2 ) - 5 ≤ -x -9
9x + 1 ≤ -x -9
10x ≤ -10
x ≤ -10 / 10
x ≤ -1
Answer:
x≤-1
Step-by-step explanation:
3(3x+2)-5≤-x-9
9x+6-5≤-x-9
9x+1≤-x-9
-1 -1
9x≤-x-10
+x +x
10x≤-10
10 10
x≤-1