Answer:
Percentage increase in the cost of his train ticket = 3% (Approx.)
Step-by-step explanation:
Given:
Cost of annual ticket paid by Patrick last year = £2,534
Cost of annual ticket paid by Patrick current year = £2,612
Find:
Percentage increase in the cost of his train ticket
Computation:
Percentage increase = [(Current - Base) / Base]100
Percentage increase in the cost of his train ticket = [(2,612 - 2,534) / 2,534]100
Percentage increase in the cost of his train ticket = [(78) / 2,534]100
Percentage increase in the cost of his train ticket = [0.03078]100
Percentage increase in the cost of his train ticket = 3.078
Percentage increase in the cost of his train ticket = 3% (Approx.)
The fan cost index represents the cost of four average price tickets
9514 1404 393
Answer:
soccer: $50.31hockey: $57.78Step-by-step explanation:
Let s represent the FCI for soccer. The given values tell us ...
s + (s +7.47) = 108.09
2s = 100.62 . . . . . . . . . . subtract 7.47
s = 50.31
s+7.47 = 57.78
The FCI for soccer was $50.31; the FCI for hockey was $57.78.
Which algebraic expression is equivalent to the expression below? 8(4x + 6) + 19
Answer:
The answer is 32x+67
Step-by-step explanation:
Three postal workers can sort a stack of mail 10 minutes , 35 minutes, and 70 minutes respectively. find how long it takes them to sort the mail if all three work together
9514 1404 393
Answer:
7 minutes
Step-by-step explanation:
The total of stacks per minute is ...
1/10 +1/35 +1/70 = (7+2+1)/70 = 1/7 . . . . stacks per minute
The rate in minutes per stack is the reciprocal of this.
Working together, the workers can sort a stack of mail in 7 minutes.
Boy and he likes swimming =
Answer:
hot boy shirtless
Step-by-step explanation:
Trying again. Can someone please help me asap? Please, thank you.
Given:
Two figures.
To find:
The area of the shaded regions for both figures.
Solution:
In first figure, the shaded area is a triangle with base 15 units and height 12 units. So, the area of the shaded region is equal to area of the triangle.
[tex]A=\dfrac{1}{2}\times base\times height[/tex]
[tex]A=\dfrac{1}{2}\times 15\times 12[/tex]
[tex]A=\dfrac{180}{2}[/tex]
[tex]A=90[/tex]
Therefore, the area of the shaded region is 90 square units.
In the seconds figure, we need to subtract the area of square from the area of triangle, to get the area of the shaded region.
Area of triangle with base 15 and height 18 is:
[tex]A_1=\dfrac{1}{2}\times 15\times 18[/tex]
[tex]A_1=\dfrac{270}{2}[/tex]
[tex]A_1=135[/tex]
Area of the square with sides 6.
[tex]A_2=(side)^2[/tex]
[tex]A_2=(6)^2[/tex]
[tex]A_2=36[/tex]
Now, the area of the shaded region is:
[tex]A=A_1-A_2[/tex]
[tex]A=135-36[/tex]
[tex]A=99[/tex]
Therefore, the area of the shaded region is 99 square units.
NEED HELP PLEASE!! WILL GIVE BRAINIEST...
Find the measures for angles x, y, z.
Answer:
m∡x = 95°
m∡y = 147°
m∡z = 128°
Step-by-step explanation:
m∡z = 180-52 = 128
measure of third angle in left triangle = 180-(45+50) = 85°
m∡x = 180-85 = 95°
measure of top angle in right triangle = 180-(95+52) = 33°
m∡y = 180-33 = 147°
17. Find the volume of the figure below. 3 mm 9.7 mm 7.2 mm
Answer:
70.2
Step-by-step explanation:
The volume of the given figure will be 104.76 mm³. Volume is the product of the area of the length/height.
What is volume?
The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
The volume of the given figure is;
Volume=Area×Length
Area=(1/2)×9.7×7.2
Area=34.92 mm²
Volume=Area×Length
Volume=34.92×3
Volume=104.76 mm³
Hence,the volume of the given figure will be 104.76 mm³.
To learn more about the volume, refer to the link;
https://brainly.com/question/1578538
#SPJ2
Write the equation of the line which passes through the
point (2, -3) and has a slope of —2/5
Answer:
y=-2/5x-11/5
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=-2/5(x-2)
y+3=-2/5x+4/5
y=-2/5x+4/5-3
y=-2/5x+4/5-15/5
y=-2/5x-11/5
HELPP
A report indicated that the RoyCo corporation grew in dollar value by 40% between 2007 and 2012 but by only 12% between 2012 and 2014. Which of these factors supports the claim that the data are potentially misleading?
The given intervals of time are different.
A.The two intervals of time are kept separate.
B.The overall value of the company is unstated.
C.The basis for determining the given values are unexplained.
Answer:
y-step explanation:
What is the ratio of 765000 to 100000
Answer:
153:20
Step-by-step explanation:
765000/100000
=153/20
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.
3 7 8 9 10 10 10 9 9 9 9 8 5
6 7 7 9 8 10 9 8 7 6 8 7 9
5 3 9 10 10 9 9 8 9 8 6 10 8
4 7 3 10 8 9 8 10 10 8 8
Develop a 95% confidence interval estimate of the population mean rating for Miami (to 2 decimals).
Answer:
The 95% confidence interval estimate of the population mean is (7.38, 8.46).
Step-by-step explanation:
Before building the confidence interval, we need to find the mean and standard deviation of the sample.
In this sample, there are 50 values.
Mean of the sample:
Sum of all values divided by the number of values.
With the help of a calculator, the mean is of 7.92.
Standard deviation:
Square root of the division of the sum of the difference squared between each value and the mean by the number of the values.
With the help of a calculator, the standard deviation is of 1.8958.
Confidence interval:
We have the confidence interval for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 50 - 1 = 49
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.01
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.01\frac{1.8958}{\sqrt{50}} = 0.54[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 7.92 - 0.54 = 7.38
The upper end of the interval is the sample mean added to M. So it is 7.92 + 0.54 = 8.46
The 95% confidence interval estimate of the population mean is (7.38, 8.46).
HELP ME PLlZZZZ
Find point Z that partitions the directed line segment XY in the ratio of 3:2 where X(-4, -2) and Y(6, 3).
Answer:
(2 , 1)
Step-by-step explanation:
point Z (x, y)
x = 3/5 × (6+4) + (-4)
= 3/5×10 -4
= 6-4
= 2
y = 3/5 ×(3+2) + (-2)
= 3/5 ×5 -2
= 3-2
= 1
so, point Z => (2 , 1)
Translating between Tables,
Graphs, and Equations
Make a table of value and graph the equation
Y=3x-5
Answer:
Table of values
[tex]x \to y[/tex]
[tex]0 \to -5[/tex]
[tex]1 \to -2[/tex]
[tex]2 \to 1[/tex]
[tex]3 \to 4[/tex]
[tex]4 \to 7[/tex]
[tex]5 \to 10[/tex]
See attachment for graph
Step-by-step explanation:
Given
[tex]y = 3x - 5[/tex]
Solving (a): Make a table
Considering the values of x from 0 to 5, we have:
When [tex]x = 0[/tex]
[tex]y = 3x - 5 \to 3 * 0 - 5 = -5[/tex]
When [tex]x = 1[/tex]
[tex]y = 3x - 5 \to 3 * 1 - 5 = -2[/tex]
When [tex]x = 2[/tex]
[tex]y = 3x - 5 \to 3 * 2 - 5 = 1[/tex]
When [tex]x = 3[/tex]
[tex]y = 3x - 5 \to 3 * 9 - 5 = 4[/tex]
When [tex]x = 4[/tex]
[tex]y = 3x - 5 \to 3 * 4 - 5 = 7[/tex]
When [tex]x = 5[/tex]
[tex]y = 3x - 5 \to 3 * 5 - 5 = 10[/tex]
So, we have:
[tex]x \to y[/tex]
[tex]0 \to -5[/tex]
[tex]1 \to -2[/tex]
[tex]2 \to 1[/tex]
[tex]3 \to 4[/tex]
[tex]4 \to 7[/tex]
[tex]5 \to 10[/tex]
Solving (b): The graph
See attachment
Plzzz help me well mark brainliest if correct .....????
Answer:
Third Grade!
Step-by-step explanation:
Hope you have a good day <3
Answer:
it's third grade:)
Step-by-step explanation:
just follow the line from 150 and when you see the grade level that meets it exactly there's your answer!
This is dum y do we need math like wth
Step-by-step explanation:
To get through school nd have something to do w your life!
Pls help me with this
Answer:
sin X=30 degree
cos X=30 degree
tan X=30 degree
cot X=30 degree
sec X=30 degree
Step-by-step explanation:
The degree measure of an angle in a right triangle is x, and sin x =
Which of the following expressions are also equal to
? Select all that apply.
A. Cos(x)
B. Cos(x - 459)
C. cos(90° - x)
D. Cos(60° - x)
E. COS(45° - x)
Step-by-step explanation:
I feel there is important information lost in the way you provided the problem statement.
e.g. "... also equal to ?"
equal to what ?
sin x = what ?
so, I can only guess some things.
answer C is definitely correct for any angle up to 180 degrees.
answer A is only correct for an angle of 45 or 225 degrees, where sin(x) and cos(x) are both 1/sqrt(2) or both -1/sqrt(2).
answer B is always wrong (459 degrees is no special number, this is a full circle of 360 degrees and then additional 99 degrees there is no special relationship between sine and cosine for 99 degrees, so sine and cosine cannot have the same value for any x).
answer D is always wrong, as there is always a 30 degree difference between the arguments for sine and cosine, and that can never lead to an equal value.
answer E is also always wrong, as these 45 degrees difference also block equal values.
How to find the equation of the curve?
If a fair coin is tossed 8 times, what is the probability, to the nearest thousandth, of getting exactly 2 tails?
Answer:
0.109
Step-by-step explanation:
Probability is expressed by the number of desirable outcomes over the total outcomes. The total outcomes would be 2^8 because there are two possibilities in each flip, and using the fundamental counting principle, you get 2^8 total outcomes. Next, to find the amount of situations where you only flip two tails, you use 8 choose 2 because we are looking for the amount of ways you can choose 2 out of the 8 to be tails. 8 choose 2 is the same as:
8! / (6! x 2!) - 28
So, the probability is:
28 / 2^8 or 28/256
As a decimal, this is: 0.109375
And rounded to the nearest thousandth it's 0.109
WILL
GIVE
BRAINLIST
.
..
.
..
The correct answer is Option (4).
(Quadratic Regressions)
A rocket is shot off from a launcher. The accompanying table represents the height of
the rocket at given times, where x is time, in seconds, and y is height, in feet. Write a
quadratic regression equation for this set of data, rounding all coefficients to the
nearest hundredth. Using this equation, find the height, to the nearest foot, at a time
of 6.4 seconds.
Answer:
y = - 15.57x² + 179.32x + 0.20
510
Step-by-step explanation:
The quadratic model obtained using a quadratic regression solver with Coefficient rounded to the nearest hundredth is :
y = - 15.57x² + 179.32x + 0.20
Where, height = y
x = time
Using the model obtained ; the height, to the nearest foot, at a time, x = 6.4 seconds.
y = - 15.57x² + 179.32x + 0.20
y = - 15.57(6.4^2) + 179.32(6.4) + 0.20
y = 510.1008
y = 510
The quadratic model obtained using a quadratic regression solver with Coefficient rounded to the nearest hundredth is :
y = - 15.57x² + 179.32x + 0.20height = y
x = time
Using the model obtained;
The height, to the nearest foot, at a time, x = 6.4 seconds.
y = - 15.57x² + 179.32x + 0.20 y = - 15.57(6.4^2) + 179.32(6.4) + 0.20 y = 510.1008 y = 510Thus, the correct answer is 510.
Know more :
https://brainly.com/question/23117287?referrer=searchResults
please help!!! Thanksss
Answer:
The image's not clear!
Step-by-step explanation:
Answer:
The answer is 30 (C)
Factor 5x+35 . If the expression cannot be factored, write cannot be factored.
Answer:
5 ( x + 7 )
Step-by-step explanation:
= 5x + 35
= 5 ( x + 7 )
Therefore, after factorizing you will get 5 ( x + 7 )
Answer:
hey , it can be factored:
this is the factored expression:
5(x+7)
Convert the time. Enter your answer in the box.
4 minutes 53 seconds =
seconds
PLssssssssssssssssssssssssssssssssss help.
Answer:
A. 9.8ft
Step-by-step explanation:
work out arc length using this formula
[tex]2\pi \: \times r \times \frac{\theta}{360} [/tex]
r is the radius, 7 in this case and theta(the symbol above 360) is the angle, 80 in this case
Belle buys 80 pencils with fuzzy tops. She gives 4 to each of her 16 classmates. The expression for the number of pencils she has left is 80-(4-16). Complete each sentence to identify the parts of the expression.
Answer:
80÷(4÷16) = 20
Step-by-step explanation:
4÷6=4
4x4=16
80÷4=20
4x20=80
Draw a picture of a line and a point that is not on the line. Draw in the shortest distance from the point to the line. What do you notice about the line connecting the point and the line to the original line?
Answer:
The shortest segment from the point to the line is perpendicular to the line.
Step-by-step explanation:
See the attached image. The blue segments go from the point to the line, but they are longer than the shortest such segment (red).
3. What is the missing term in the sequence 10, 12, 16, 24,
, 72?
A. 32
B. 40
C. 48
D. 64
4. What rule is being used in this sequence 25, 28, 26, 29, 27?
A. Add 3.
B. Add 3, subtract 2...
C. Subtract 3, add 2...
D. Multiply by 3, subtract 2...
5. What is the value of kin 6k - 19 = 23?
A. 14
B. 11
C. 7
D. 5
Answer pls. ASAP Need it now
Answer:
3. B
4. B
5. C
Step-by-step explanation:
What is the measure of angle IXA?
Answer:
is it 120
Step-by-step explanation:
it is 120 I can't really explain how I got it though
14. Find the value of x.
A. x = 18
B. x = 122
C. X = 7.3
D. x = 27.7
(14 + 6x)"
1220