Answer:
1 hr 2 min 30 secs
Step-by-step explanation:
Assume Propagation speed = 100 km/hr
number of cars = 5
distance between booths = 50 km
Total distance = 100 km
take taken to serve each car = 12 secs
Determine the end to end delay
first calculate the propagation delay = Total distance / propagation speed
= 100 / 100 = 1 hr
next calculate : Time taken to serve 5 cars in each Tollbooth
= 5 * 12 secs = 60 secs
Next calculate : transmission delay ( time taken by three tollbooth to reach 5 cars )
= 60 secs * 3 = 180 secs = 2 min 30 secs
therefore end-end delay
= propagation delay + transmission delay
= 1 hr 2 min 30 secs
How many solutions does y=3x+1 and y=x+1 have?
46764need photo ryyiouttgg
What is the probability of picking any color balloon except for red at random to the nearest hundredth? A) 0.81 B) 0.82 0 0.83 D) 0.84
Answer:
below
Step-by-step explanation:
first count them up
17
divide it by 16 its d
The probability of picking any color balloon except for red at random is 82%.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
Red balloon = 3
Blue balloon = 2
Pink balloon = 2
Green balloon = 2
Orange balloon = 2
light Blue = 1
Yellow balloon = 2
Purple balloon = 2
So, the probability of picking any color balloon except for red at random
= 13/ 16 x 100
= 81.25 %
Thus, the required percentage is 82%.
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Amanda has a piece of ribbon that is 1/4 yards long she wants to share the ribbon with two friends so that they can each wear ribbon for breast cancer awareness month if each of the three friends get the same amount how much ribbon will each person get
9514 1404 393
Answer:
1/12 yard = 3 inches
Step-by-step explanation:
Each friend gets 1/3 of the ribbon, so ...
1/3(1/4 yd) = 1/12 yd
In inches, that is ...
(1/12 yd)×(36 in/yd) = 3 in
Each friend gets 1/12 yard, or 3 inches.
Find a pair of integers whose product is-36 and whose diffence is 15.
Answer: [tex](12,-3)\ \text{or}\ (3,-12)[/tex]
Step-by-step explanation:
Given
The product of integers is -36
The difference of integers is 15
Suppose the integers are x and y
[tex]\Rightarrow x-y=15\\\Rightarrow x=15+y\\\Rightarrow xy=-36[/tex]
Put the value of [tex]x[/tex] in the product
[tex]\Rightarrow (15+y)y=-36\\\Rightarrow 15y+y^2+36=0\\\Rightarrow y^2+12y+3y+36=0\\\Rightarrow y(y+12)+3(y+12)=0\\\Rightarrow (y+12)(y+3)=0\\\Rightarrow y=-3\ \text{or}\ -12[/tex]
[tex]\therefore x=12\ \text{or}\ 3[/tex]
Pairs of integers are [tex](12,-3)\ \text{or}\ (3,-12)[/tex]
Pls help, I'll give brainlest
Answer:
b
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
When multiplying exponents, you would add the degrees.
A, B, and D's degrees add up to [tex]5^{-2}[/tex] , which is equal to 1/25.
C adds up to [tex]5^{2}[/tex], which is 25, therefore making it C
Lucy can choose one sandwich ham or turkey, once side apple or grapes, one drink milk or water. Lucy has equally likely chance of choosing any combination. What is the probability that Lucy picks a ham sandwich and grapes?
1/4
or
1/6
Answer:
1/4
Step-by-step explanation:
i got this question on a test
Maths URGENT! I need answer rn
Answer:
8a-8c+6b
Step-by-step explanation:
3a-(-2c-5a)+6b-10c
3a+2c+5a+6b-10c
(3a+5a)+(2c-10c)+6b
8a-8c+6b
Jennifer recently finished paying off her $30,000 fixed-rate student loan. She paid $303.73 per month for 10 years to
complete the payments. How much interest did she pay over the duration of the loan? Round to the nearest cent
Answer:
$6,447.60
Step-by-step explanation:
Since Jennifer's monthly payment was $303.73 and she paid this amount each month for 10 years, multiply the monthly payment by the number of months in 10 years, 120, to determine the total amount that she paid.
$303.73×120=$36,447.60
Now, subtract the stated amount of the loan from the total amount paid to find the amount of interest that was paid.
$36,447.60−$30,000=$6,447.60
Therefore, Jennifer paid $6,447.60 in interest through the duration of the loan.
The total amount of interest of loan paid by Jennifer is $ 6447.60
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount of interest of loan paid by Jennifer be = A
So , the equation will be
Now , the amount she took as loan on fixed rate = $ 30,000
The amount of money Jennifer paid per month = $ 303.73
The total duration of time Jennifer paid off the loan = 10 years
10 years = 10 x 12 months
10 years = 120 months
So , the total amount paid back by Jennifer = Amount of money she paid per month x 120 months
Substituting the values in the equation , we get
The total amount paid back by Jennifer = 303.73 x 120
The total amount paid back by Jennifer = $ 36,447.6
Now , the loan interest amount paid by Jennifer A = total amount paid back by Jennifer - amount she took as loan on fixed rate
Substituting the values in the equation , we get
The loan interest amount paid by Jennifer A = $ 36,447.60 - $ 30,000
The loan interest amount paid by Jennifer A = $ 6447.60
Therefore , the value of A is $ 6447.60
Hence , The total amount of interest of loan paid by Jennifer is $ 6447.60
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HELP ASAPP! WILL GIVE MOST BRAINILIST
Answer:
the probability is 6/7
Need help can’t figure this question out
Answer:
<CFE = 81°
Step-by-step explanation: use the rule:
2× inscribed angle = intercepted arc
What are the answers to this question
Answer:
26
Step-by-step explanation:
90-64=26
Answer: that would be 26
Step-by-step explanation: A right triangle angles measure 90 degrees. With this knowledge you had to just subtract 90 and 64.
Frank turns his steering wheel a full circle of 360°. Which statement best represents the
movement of the steering wheel?
A. The wheel makes 260 one-degree turns.
B. The wheel makes 360 ten-degree turns.
C. The wheel makes 360 one-degree turns.
D. The wheel makes 360 one hundred-degree turns. (I can NOT go in websites to get the answer and pls give a example on how you did the problem. Thank you)
Answer:
C. The wheel makes 360 one-degree turns.
Step-by-step explanation:
A full circle is 360°, that is, there are 360 degrees in a circle.
You can check how many total degrees the steering wheel is turned for each option by multiplying the number of turns by the number of degrees for each turn:
For A: 260 one-degree turns is (260 turns) × (1 degree per turn) = 260 degrees turned. This is not equal to the given fact that Frank turns a full circle of 360 degrees. So A is not correct.For B: 360 ten-degree turns means a total of (360 turns) × (10 degrees per turn) = 3600 degrees turned, which does not equal one turn of 360 degrees. So B is not correct.For C: 360 one-degree turns means a total of (360 turns) × (1 degree per turn) = 360 degrees turned, which is one full circle.For D: 360 one-hundred degree turns means a total of (360 turns) × (100 degrees per turn) = 36000 degrees turned, which is not 360 degrees. So D is not correct.What is the range of h
For the following, indicate whether a confidence interval for a proportion or mean should be constructed to estimate the variable of interest. A researcher with a golf association obtained a random sample of 25 rounds of golf on a Saturday morning and recorded the time it took to complete the round.
The goal of the research was to estimate the amount of time it typically takes to complete a round of golf on Saturday morning. The confidence interval for a population _____________ proportion mean should be constructed because the variable of interest is _________ score, time to complete the round, whether the round was completed in less than 5 hours or not, which is a ___________ qualitative quantitative variable.
Answer:
The confidence interval for a population mean proportion mean should be constructed because the variable of interest is time to complete the round, which is a quantitative variable.
Step-by-step explanation:
A researcher with a golf association obtained a random sample of 25 rounds of golf on a Saturday morning and recorded the time it took to complete the round.
Time is the number of hours, so it is mean, and not proportion.
Variable of interest is time to complete the round, and since it is measured in hours it is a quantitative variable.
The answer is:
The confidence interval for a population mean proportion mean should be constructed because the variable of interest is time to complete the round, which is a quantitative variable.
The confidence interval for a population of variable of interest time is normally distributed . The Confidence interval for proportion mean should be constructed because the variable of interest is the time taken to complete one round of golf score, time to complete the round.
Whether the round was completed in less than 5 hours or not is depending upon the calculations involved and variables of the sample taken which is a quantitative variable.
The confidence interval for the normally distributed variable of interest is determined by the equation as formulated below
[tex]\rm Confidence\; Interval = \mu - Z \sigma/\sqrt{n} \;\;to \; \mu + Z \sigma/\sqrt{n} \\Where\\\mu = Sample\; mean \\Z = Z \; score \\\\\sigma = Sample\; standard \; deviation \\n = Sample \; size[/tex]
We have to indicate whether a confidence interval for a proportion or mean should be constructed to estimate the variable of interest.
A researcher with a golf association obtained a random sample of 25 rounds of golf on a Saturday morning and recorded the time it took to complete the round.
The goal of the research was to estimate the amount of time it typically takes to complete a round of golf on Saturday morning
As given by the language of the question we can conclude that the variable of interest is the time taken to complete one round of golf.
So we consider that the time variable is normally distributed
Also time variable is quantitative variable.
So we can fill in the blanks
The confidence interval for a population of variable of interest time is normally distributed .The Confidence interval for proportion mean should be constructed because the variable of interest is the time taken to complete one round of golf score, time to complete the round.
Whether the round was completed in less than 5 hours or not is depending upon the calculations involved and variables of the sample taken which is a quantitative variable.
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help please, asap. thank you
Answer:
KL = 28
YZ = 76
LZ = 38
Step-by-step explanation:
Because J K and L are midpoints, the segment lengths are half of the segments from the XYZ triangle.
Think of it like this: ZLK is just ZXY scaled to half.
From that we get:
KL = YX/2 = 56/2 = 28
YZ = 2*KJ = 2*38 = 76
LZ = YZ/2 = 76/2 = 38
Answer: KL= 28
Explanation: YJ and JK are 28 each and together they add up to 56. Since KL has the same measure as YJ, its measure is 28.
Answer: YZ= 76
Explanation: JK is half the measure of ZY, so if you multiply 38 by 2 you get 76.
Answer: LZ= 38
Explanation: LZ=JK, so LZ=38
In a certain chemical, the ratio of zinc to copper is 3 to 17. A jar of the chemical contains 340 grams of
copper. How many grams of zinc does it contain?
It contains grams of .
Answer:
Total amount of zinc in jar = 60 gram
Step-by-step explanation:
Given:
Total copper contain in jar = 340 grams
Ratio of zinc to copper in Jar = 3:17
Find:
Total amount of zinc in jar
Computation:
Total amount of zinc in jar = Total copper contain in jar[ratio of zinc / ratio of copper]
Total amount of zinc in jar = 340[3 / 17]
Total amount of zinc in jar = 1,020 / 17
Total amount of zinc in jar = 60 gram
I’ll give BRAINLYIST to the person who helpssss PLEASE HURRY
Answer:
19.5
Step-by-step explanation:
concrete representation of point
Answer:
Points in Euclidean geometry
In two-dimensional Euclidean space, a point is represented by an ordered pair (x, y) of numbers, where the first number conventionally represents the horizontal and is often denoted by x, and the second number conventionally represents the vertical and is often denoted by y.
Step-by-step explanation:
In the year 2003, a person bought a new car for $25000. For each consecutive year
after that, the value of the car depreciated by 12%. How much would the car be worth
in the year 2006, to the nearest hundred dollars?
Step-by-step explanation:
multiply 25000×12/10
and 2003-2006 is 3 years
next steps are in the attached pic
Answer:
$17000Step-by-step explanation:
Given
Initial value PV = $25000Depreciation rate r = 12% per yearTime t = 2006 - 2003 = 3 yearsFV = ?Required formula and solution
FV = PV*(1 - r)^tFV = 25000*(1 - 0.12)^3 = $17036.80 ≈ $17000 (rounded)M
10
H
32
L
12.5 G
40
N
Similar By:
ALMN ~
Answer:
Step-by-step explanation:
Similar by 10
△LMN~40
I think hold on
yea its the right answer
If sin 49° is approximately 3/4, which is closest to the length of the of NO ?
Options
25 m
66 m
75 m
80 m
Answer:
75 meters.
Step-by-step explanation:
In this case, you are trying to find side length NO. In accordance to SOH CAH TOA, you can use a sine function to find the missing side length, since you are given the hypotenuse.
sin(49) = x / 100
x = sin(49) * 100
x = 0.7547095802 * 100
x = 75.47095802
So, the closest answer would be 75 meters.
Hope this helps!
What is the least common multiple of 35 and 17?
PLEASE HELP ME!!!
Answer:
595
Step-by-step explanation:
ez
Answer:
595
Step-by-step explanation:
can i have brainliest
What is the expected value of the spinner shown?
Answer:
4.5
Step-by-step explanation:
The Person who said C was correct but im just adding how to get it, just in case they ask you to show your work.
To find this answer you multiply each value by their probability, so 1 times 1/8, 2 times 1/8, 3 times 1/8, etc and all it all up.
Another way to find the answer is to add up all the values possible, 1+2+3+4+5+6+7+8, then divide by the amount of possibilities, in this case 8 because there are 8 sections on the spinner. This also gets you 4.5.
What is the area of this figure?
Answer: D
break it into two shapes:
square: side length^2 7^2
49
triangle: side length x side length divided by two (7 x 12) / 2
84 / 2
42
add them together:
49 + 42= 91
A study suggests that airlines have increased restrictions on cheap fares by raising overnight requirements (The Wall Street Journal, August 19, 2008). This would force business travelers to pay more for their flights, since they tend to need the most flexibility and want to be home on weekends. Eight months ago, the overnight stay requirements were as follows:
One night Two nights Three nights Saturday night
37% 17% 28% 18%
A recent sample of 644 flights found the following restrictions:
One night Two nights Three nights Saturday night
117 137 298 92
1. Calculate the value of the test statistic.
2. At a 5% significance level, what is the critical value?
Answer:
Test statistic X² = 150.382833
Critical value = 7.815
Step-by-step explanation:
The hypothesis
H0: true proportion = expected value
H1: at least 1 proportion not equal to expected value
Following the calculations I did in the document attached
The test statistics = 150.382833
To get critical value I used excel
Alpha = 0.05
Degree of freedom = 4-1 = 3
Critical value of X² = 7.815
The decision is to reject H0 if X² > 7.815 and agree with the alternative hypothesis. So we Reject h0 since
150.382833 > 7.815
Classify the figure. Select all that apply. A quadrilateral D rhombus B rectangle E trapezoid © parallelogram 6 square
Answer:
Quadrilateral, Trapezoid, and Parallelogram, I think
Which point on the grid is located at the coordinates (3,4)
Point a
Point b
Point c
Point d
Which one is it I need help
function g is a transformation of function f using a horizontal shift 3 units left and vertical compression by a factor of 1/2 . plot the corresponding point on function g.
9514 1404 393
Answer:
g(x) = x + 1
Step-by-step explanation:
The transformation "shift left 3 units" is accomplished by replacing x in the function definition by x+3.
F(x) is defined as ...
f(x) = 2x -4
Then the left shift gives ...
f(x +3) = 2(x +3) -4 = 2x +2
__
The transformation "vertical compression by a factor of 1/2" is accomplished by multiplying the function by 1/2.
g(x) = 1/2f(x +3) = (1/2)(2x +2)
g(x) = x +1
__
In the attached, we wanted to show where the table points would end up if they were shifted left 3, then moved half their vertical distance toward the x-axis (compression by 1/2). Doing that, the points in the first table become the points in the second table. This is different from what you get when you simply substitute the same values of x into the new function g.
Consider, for instance, the bottom left point on the red graph. When it is moved 3 left, its coordinates are (-3, -4). When the y-coordinate is cut in half, its new location is (-3, -2), the bottom left point on the blue graph.
Express the quantity "14 revolutions per second" in radians per second. Write your
answers in terms of a
A. 28n rad/sec
C. 18n rad/sec
B. 52n rad/sec
D. 32n rad/sec
[tex]\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}[/tex]
A).28n rad/sec
someone answer this please
Answer:
7.5
Step-by-step explanation:
The decimal form would be 7.549... when put in a calculator. When rounded, it will be 7.5
