Answer:
Train A is 266 and Train B is 85
Step-by-step explanation:
If the difference is 181 tons, then subtract the difference to get double the weight of the lightest train.
351 - 181 = 170
170 ÷ 2 = 85
If B is the lightest, B is 85.
For A, either add the difference back or subtract 85 from 351.
85 + 181 = 351 - 85 = 266
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)
(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.
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Write 2.5 : 4.5 as a whole number ratio in it's simplest from.
Answer: : = 5 : 9
Step-by-step explanation:
Answer:
i think it would be 5:9
Step-by-step explanation:
Change values to whole numbers.
Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places.
We then have:
2.5 : 4.5 = 25 : 45
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 25 and 45 is 5
Divide both terms by the GCF, 5:
25 ÷ 5 = 5
45 ÷ 5 = 9
The ratio 25 : 45 can be reduced to lowest terms by dividing both terms by the GCF = 5 :
25 : 45 = 5 : 9
Therefore:
2.5 : 4.5 = 5 : 9
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:
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
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.
please help!!! Thanksss
Answer:
The image's not clear!
Step-by-step explanation:
Answer:
The answer is 30 (C)
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
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
What is the ratio of 765000 to 100000
Answer:
153:20
Step-by-step explanation:
765000/100000
=153/20
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).
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.
PLEASE HELP ASAP I WILL MARK BRAINLIEST!!!
Find the volume of the cone.
12 cm
5 cm
V = [?] cm3
Answer:
≈314.16
Step-by-step explanation:
πr^2h /3 you use this formula and put in the values for r and h as 5 and 12 respectively and solve.
Hope this Helps!
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°
please answer this question below
Boy and he likes swimming =
Answer:
hot boy shirtless
Step-by-step explanation:
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).
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.
What is the product? Complete the equation.
-10 • 45
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
Write 346% as a decimal
Answer:
3.46
Step-by-step explanation:
Answer:
3.46
Step-by-step explanation:
346% = 346/100 = 3.46
14. Find the value of x.
A. x = 18
B. x = 122
C. X = 7.3
D. x = 27.7
(14 + 6x)"
1220
PLS HELP ! Find the length of the third side. if necessary, round to the nearest tenth.
Answer:
242 or 15.6
Step-by-step explanation:
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:
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
How to find the equation of the curve?
Which algebraic expression is equivalent to the expression below? 8(4x + 6) + 19
Answer:
The answer is 32x+67
Step-by-step explanation:
The total length of your apartment is 30 feet and the total width is 20 feet. What is the total area of the apartment? a) 50 square feet b) 120 square feet O c) 500 square feet d) 600 square feet
Answer:
D
Step-by-step explanation:
Area = l × w
= 30 × 20
= 600 feet2
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)