Answer:
L=W+12
2L+2W=48
2(W+12)+2W=48
2W+24+2W=48
4W=48-24
4W=24
W=24/4
W=6 ANS. FOR THE WIDTH.
L=6+12=18 ANS. FOR THE LENGTH.
PROOF:
2*18+2*6=48
36+12=48
48=48
Answer:
6 cm by 18 cm
Step-by-step explanation:
use x and x+12
2(x) + 2(x+12)=48
2x +2x+24=48
4x+24=48
4x=24
x=6 and (6+12)=18
:)
The data below represent commute times (in minutes) and scores on a well-being survey. Complete parts (a) through (d) below. Commute Time (minutes), x 5 15 30 35 50 84 105 Well-Being Index Score, y 69.1 67.8 66.2 65.9 64.6 62.6 60.2 (a) Find the least-squares regression line treating the commute time, x, as the explanatory variable and the index score, y, as the response variable. y=negative 0.083−0.083x+69.04069.040 (Round to three decimal places as needed.) (b) Interpret the slope and y-intercept, if appropriate. Interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. For an index score of zero, the commute time is predicted to be nothing minutes. (Round to three decimal places as needed.) B. For every unit increase in index score, the commute time falls by nothing, on average. (Round to three decimal places as needed.) C. For a commute time of zero minutes, the index score is predicted to be nothing. (Round to three decimal places as needed.) D. For every unit increase in commute time, the index score falls by nothing, on average. (Round to three decimal places as needed.) E. It is not appropriate to interpret the slope.
Answer:
(a) [tex]\hat y=69.04-0.083\cdot x[/tex]
(b) D. For every unit increase in commute time, the index score falls by 0.083, on average.
Step-by-step explanation:
(a)
Form the least-squares regression line using Excel as follows:
Go to Data → Data Analysis → Regression
A dialog box will open.
Select the X and Y variable.
Press Ok.
The regression output is attached below.
The least-squares regression line is:
[tex]\hat y=69.04-0.083\cdot x[/tex]
(b)
The slope of a regression line is the average rate of change in the dependent variable (y) with 1 unit change in the independent variable (x).
Here the slope value is -0.083. This value implies that with 1 minute change in the commute times the Well-Being Index Score falls by 0.083 units.
The intercept of a regression line is the average value of the dependent variable (y) when the independent variable (x) value is 0.
Here, the intercept value is 69.04. This value implies that for a person with commute time 0, their Well-Being Index Score is 69.04.
The correct option is:
D. For every unit increase in commute time, the index score falls by 0.083, on average.
-2.30 as a fraction....
Answer:
Step-by-step explanation:
3 5/7
Answer: 23/10 or 2 3/10
Step-by-step explanation:
I used a calculator
..................................
Step-by-step explanation:
What's Yo Question ?
The midpoint of segment AB is (4,2). If the coordinates of A are (6,-4) what are the coordinates of B
Answer:
(2, 8)
Step-by-step explanation:
The midpoint of a line segment is calculated by taking the average of the x and y coordinates.
(2, 8) is the coordinates of b, because the midpoint is ( (6+2)/2, (-4+8)/2) ,which is (4,2).
Hope this helped, and if it did, please consider giving me a brainliest. (:
What is the area of the triangle below?
Answer:The area of the triangle is given by the formula mentioned below: Area of a Triangle = A = ½ (b × h) square units where b and h are the base and height of the triangle, respectively. Now, let’s see how to calculate the area of a triangle using the given formula.
Step-by-step explanation:
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 37 ounces and a standard deviation of 7 ounces. Use the Empirical Rule, also known as the 68-95-99.7 Rule. Do not use Tables or Technology to avoid rounding errors. Suggestion: sketch the distribution in order to answer these questions. a) 68% of the widget weights lie between and b) What percentage of the widget weights lie between 23 and 44 ounces
Answer:
a) 68 % will lie between 30 and 44 ounces
b) between 23 and 44 ounces will lie 81,5 %
Step-by-step explanation: See Annex
a) Normal Distribution N ( 37, 7)
The Empirical Rule establishes that 68 % of values will be at
μ ± 1 σ where μ is the mean and σ the standard deviation
Then: 37 - 7 = 30 and 37 + 7 = 44
68 % of the values will lie between 30 and 44 ounces
b) And between 23 and 44 we should find:
We have 95 % of values between
μ ± 2*σ
In our case to the left of the value (mean 0 ) and up to the value 23 we get 95/2 = 47,5 % and to the right of the value (mean 0 ) and up to 44 we half 68/2 = 34 %
Then between 23 and 44, we have 47,5 + 34 = 81,5 %
2/3 of the people in the group came in blue cars and 1/8 of them came in red cars they were 48 people in the group so how many people came in red or blue cars
Answer:
32 people came in blue cars and 6 people came in red cars
Step-by-step explanation:
Technically, all 48 people came in red or blue cars, but I'm assuming that's not what the question is asking.
To find how many people came in blue cars, we do 2/3*48 which is equal to 32 people.
To find how many people came in red cars, we do 1/8*48 which is equal to 6 people.
Answer: 13
And i hope this helps.
A theater has 20 rows of seats. If there are 12 seats in the 1st row, 16 seats in the 2nd row, 20 seats in the 3rd row, and so on, how many seats are there in the last row?
Awser=88
The number of candies in the box is between 80 and 100. It is possible to divide all the candies among 2, 3 or 5 children. How many candies are in the box?
Please y’all Help me
Answer:
Upload a file please
Step-by-step explanation:
Write an expression for the following: Chris is buying twice as many carrots as Maya, Maya is buying X carrots. Write an expression for how many carrots Chris is buying
Answer:
x*2=Chris
Step-by-step explanation:
It could be =C or something like that but since Maya is buying X carrots and Chris is buying twice that amount then it would be x*2=Chris
Flying against the wind, it took a small plane 4 hours to fly the 600 miles between Portland and Sacramento. On the return flight, it took 3 hours to make the trip flying with the wind. Find the speed of the plane and the speed of the wind.
Determine and state the equation of the line perpendicular to the line 5x-4y = 10 and passing through the
point (5,12). (2 points)
Answer:
Y -= 2/3x +5/2
Step-by-step explanation:
My best guess because when you solve the 5c equation the slope is -3/2 so perpinficular is negative reciprocal which is 2/3. My best guess
Lynda regularly works a 40-hour work week and earns $16.00 per hour.
She receives time-and-a-half pay for each hour of overtime she works.
Last week she worked 43 hours.
a. What is her regular gross pay?
b. What is her hourly overtime rate?
c. What was her overtime pay?
d. What was her total pay for the week?
Answer:
Step-by-step explanation:
gross pay = 640
hourly overtime rate= 24
Overtime pay= 72
Total pay for the week= 712
Her regular gross pay is 640. the hourly overtime rate is 24. Overtime pay= 72 and Total pay for the week= 712
What is Regular gross pay ?Regular gross pay is that pay which the person earn on daily basis or it is a fixed amount which he gets after completing a month.
Here, We have to find out the regular gross pay which includes the daily earning of a person.
Lynda regularly works a 40-hour work week and earns $16.00 per hour.
So, her regular gross pay = number of hours × rate per hour
= 40 × $16
= $640
Hence, the gross pay = 640
Her regular gross pay is 640. the hourly overtime rate is 24. Overtime pay= 72 and Total pay for the week= 712
Learn more about Regular gross pay;
https://brainly.com/question/13120187
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what is 5.625 in expanded form
Answer:
expanded notation form
5
+0.6
+0.02
+0.005
expanded factor form
5×1
+6×0.1
+2×0.01
+5×0.001
dont know which one you need, but there. hope this helps.
The conversion of ammonium cyanide to urea is a second-order reaction. This means that the concentration C of ammonium cyanide at time t is given by 1/C = kt + 1/C0, where C0 is the initial concentration and k is the rate constant. Assume the initial concentration is known to be 0.1 mol/L exactly. Assume that time can be measured with negligible uncertainty.
a. After 45 minutes, the concentration of ammonium cyanide is measured to be 0.0811 ? 0.0005 mol/L. Estimate the rat? constant k, and find the uncertainty in the estimate.
b. Use the result in part (a) to estimate the time when the concentration of ammonium cyanide will be 0.0750 mol/L, and find the uncertainty in this estimate.
Answer:
your answer could be A
Step-by-step explanation:
-2(3x - 4) + 7
divided by 3
Answer:
-6x+31/3
Step-by-step explanation:
8k = 0
A.)8
B.)16
C.)0
D.)4
Answer:
C
Step-by-step explanation:
Anything divided by 0 is equal to 0.
Write and solve an equation to find the value of x and the missing angle measures.
A student taking a Calculus class makes the following statement:
”If f(1) > 0 and f(3) < 0, then there exists a number c, between 1 and 3 such that f(c) = 0.”
Is the statement true? If it’s true, explain why, if it is false, explain why, or give an example that disproves it.
Explanation:
Imagine that f(x) was a road without any gaps. The road can be straight or it can be curved somehow.
Now imagine that a horizontal line is the border between two countries. The country up north is the positive country and the southern country is negative.
f(1) > 0 means we're in the northern country since f(x) is positive here
then f(3) < 0 means we're now in the southern negative country
Somewhere along the road we must have crossed the border at least one time. This must be the case because the road does not have any gaps in it and we cannot teleport. This is what it means to be a continuous function. To draw a continuous curve, you cannot lift your pencil up.
So because f(x) transitions from positive to negative, this means f(x) = 0 at some point at least once. So that's why there exists a c such that f(c) = 0
Find the value of g when 5g+15 equals 2g+27 . Use pencil and paper. Explain how you can check that the value you found for g is correct. If your check does not work, does that mean that your result is incorrect? Explain.
Answer:
its b
Step-by-step explanation:
Which two triangles are congruent by the SAS Theorem? Complete the congruence
statement.
Answer:
Triangle BCD is congruent to triangle EGF by SAS theorem
you can substitute words for symbols if needed
Step-by-step explanation:
-33+2x= -6(1 + 5x) +5x
Answer:
=1
Step-by-step explanation:
Mrs. Naoe went down a waterslide at Six Flags. What kind of slope would she have?
a positive
b negative
c zero
d undefined
Add this pair of numbers make sure your answer is fully reduced 1 1/2 + 1/6
Answer:
The answer to 1 1/2 + 1/6 is 1 2/3.
What is the solution to the system of equations?
3x+10y=-47
5x - 7y=40
O (1.-5)
O (1,5)
0 (-1,-5)
0 (-1,5)
Answer:
x=1 ,y=-5
Step-by-step explanation:
3x + 10y = 47
5x - 7y = 40
____________
21x + 70y = 329. equ 1
50x - 70y = 400. equ 2
subtract equ 1 from 2
=71x = 71
divide both sides by the 71
71/71 = 71/71
x = 1
_________
to find y
substitute x into either equ 1 or equ 2
am using equ 2
5x - 7y = 40
5(1) - 7y = 40
5 - 7y = 40
7y = 5 - 40
7y = -35
divide both sides by the coffecient of y
7y/7 = -35/7
y = - 5
In an election, Ms. Duval got 534 votes, Mr. Smith got 507, and Mr. Fennig got 88. What percent of the vote did the winner get?
If your car gets 28 miles per gallon and you travel 30 miles round-trip to work five days a week, how much do you pay each 4-week
month if gas is $3.05 a gallon? (Round your answer to 2 decimal places.)
please help
Answer:
You'd pay $65.35 every 4 weeks
Step-by-step explanation:
First you have to gather all the miles.
30 miles x 5 = 150
So that is 150 miles/per week
Then you have to devide the miles by how many gallons per gas you travle.
150/28 miles per gallon = 5.3571....
That how many gallons you'll need a week.
Now, you times the gallons by the price of the gas
5.3571... x $3.05 = $16.3392...
Finally you times the amoutn of money for a week time 4 weeks.
$16.3392... x 4 = $65.35 (to the two decimal mark)
Hope this helped you! : )
Suppose a hawk can fly 78 miles in 3 hours. An owl can fly 99 miles in 4 hours. Which raptor can fly faster and by how much?
Answer:
The Hawk can fly faster
Step-by-step explanation:
First, take 78/3 that will give you the miles per hours the hawk flys.
78/3 = 26 miles/ per hour
Then, do the same for the owl.
99/4 = 24.75 miles an hour.
To find out how much faster the hawk in than the owl suntract the owls miles per hour from the hawks miles per hour.
24.75 - 26 = 1.25 miles faster
Their total bill is $356.88. If they pay $220 in cash and charge the remainder, how much will they charge?
Answer:
$136.88
Step-by-step explanation:
$356.99
-$220.00
________
$136.88
Therefore that would be the remainder.
Hope this helped : )
Answer:
They will charge $136.88
Step-by-step explanation:
Elizabeth is correct.
Findinf the remainder in this situation means finding the difference (subtraction)
356.88 - 220 = 136.88
How do I write the equation of hyperbola in standard form with center (0,0),endpoints of the transverse axis (±6,0) and length of latus rectum is 16?
Answer:
Length of latusrectum =9=
a
2b
2
⇒b
2
=
2
9a
..... (i)
and e=
4
5
∵1+
a
2
b
2
=
16
25
∴1+
2a
2
9a
=
16
25
[from Eq. (i)]
⇒
2a
9
=
16
9
⇒a=8
On putting the value of a in Eq. (i), we get
b
2
=
2
9×8
=36⇒b=6
∴ Equation of hyperbola is
8
2
x
2
−
6
2
y
2
=1⇒
64
x
2
−
36
y
2
=1
