Answer:
The appropriate solution is:
(1) 22.81 minutes
(2) 0.171
Step-by-step explanation:
According to the question, the values will be:
The service rate of guess will be:
= [tex]5+3.5[/tex]
= [tex]8.5 \ minutes[/tex]
The mean arrival rate will be:
[tex]\lambda =\frac{60}{5}[/tex]
[tex]=7.5 \ cabs/hr[/tex]
The mean service rate will be:
[tex]\mu= 7.05 \ cabs/hr[/tex]
(1)
The average time a cab must wait will be:
⇒ [tex]W_q=22.95-\frac{1}{7.05}[/tex]
⇒ [tex]=\frac{161.798-1}{7.05}[/tex]
⇒ [tex]=\frac{160.798}{7.05}[/tex]
⇒ [tex]=22.81 \ minutes[/tex]
(2)
The required probability will be:
⇒ [tex]P(X\geq 6)=\frac{1-2.115}{1-7.5}[/tex]
⇒ [tex]=\frac{-1.1115}{-6.5}[/tex]
⇒ [tex]=0.171[/tex]
A=1/2(b+c)h
Rearrange the formula to highlight the height.
Evaluate 5+6x,when x is 4
A lumber company is making boards that are 2578.0 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of 20 boards is made, and it is found that they have a mean of 2580.2 millimeters with a variance of 64.00. Is there evidence at the 0.1 level that the boards are either too long or too short?
1. State the hypotheses.
2. Find the value of the t test statistic.
3. Specify if the test is one-tailed or two-tailed.
4. Determine the decision rule.
5. Determine the conclusion.
A) Reject Null Hypothesis
B) Fail to Reject Null Hypothesis
Answer:
-0.750
Step-by-step explanation:
This graph represents a function. The linear function on a coordinate plane passes through (2, 9), and (minus 5, minus 5) which intercepts the axis at (0, 5), and (minus 2.5, 0). Which table contains points from the inverse of the graphed function? A. x -3 -1 1 3 y 1 2 3 4 B. x -4 -3 -2 -1 y -3 -1 1 3 C. x 1 2 3 4 y -3 -1 1 3 D. x -3 -1 1 3 y -4 -3 -2 -1
In a standard 52 card deck what is the probability of randomly drawing an ace or club?
Write in scientific notation (multiply)
(5x10^18)(3x10^6)
Answer: 3 x [tex]10^{24}[/tex]
Step-by-step explanation:
if x=7, which inequality is true?
Answer:
B
Step-by-step explanation:
Substitute x =7 in each inequality
In A.
[tex] - 4 + 3 \times 7 < 17 \\ - 4 + 21 < 17 \\ \\ - 17 < 17[/tex]
Which is not true
B.
[tex] - 7 - 2 \times 7 > 1 \\ - 7 - 14 > 1 \\ - 21 > 1[/tex]
Which is not true.
C.
[tex]5 - 7 \leqslant 9 \\ - 2 \leqslant 9[/tex]
Which is true
D.
[tex]1 - 4 \times 7 \geqslant 25 \\ 1 - 28 \geqslant 25 \\ - 27 \geqslant 25 \\ [/tex]
Which is not true
so option C is the right answer
Two straight lines are perpendicular to each other at point M. One of the lines passes through (2, 6) and the equation of the other line is 2y + 3x -5 = 0. Calculate the co-ordinates of M.
Answer: The equation of a line in the form y = mx + b can be written as y - mx - b = 0. So we can rewrite the equation of the line as 2y - 3x + 5 = 0. This means that the slope of the line is -3/2.
The slope of a line perpendicular to this line would be the negative reciprocal of -3/2, which is 2/3. Let's call the point M (x, y). We know that the line passing through (2, 6) has a slope of 2/3. So we can write the equation of this line as:
y - (2/3)x - b = 0
Substituting the point (2, 6) into this equation, we get:
6 - (2/3)(2) - b = 0
b = 4
So the equation of the line passing through (2, 6) is:
y - (2/3)x - 4 = 0
To find the coordinates of point M, we need to find the point where these two lines intersect. Setting the two equations equal to each other and solving for x and y, we get:
2y - 3x + 5 = y - (2/3)x - 4
5 - 2y = y - (5/3)x + 4
(5/3)x = 3 - y
x = (3 - y) * (3/5)
Substituting this expression for x into one of the original equations, we can solve for y:
2y - 3((3 - y) * (3/5)) + 5 = 0
2y - (9 - 3y)(3/5) + 5 = 0
(10/5)y - (9/5) + 5 = 0
y = (9/5) + (5/5)
y = 2
Substituting this value for y back into the expression for x, we get:
x = (3 - 2) * (3/5)
x = 1
So the coordinates of point M are (1, 2).
Step-by-step explanation:
who is the father of mathematics
Answer:
Archimedes
Step-by-step explanation:
The father of Mathematics is known as Archimedes
-TheUnknownScientist
Please help will mark Brainly (please answer all the drop down questions)
Step-by-step explanation:
system 1 :
3x + 2y = 7
4x + 7y = 17
system 2 :
12x + 2y = 28
4x + 7y = 17
the first equation in the second system is not a multiple of either equation in the first system, and the second equation in the second system is the same as the second equation in the first system.
thus, the systems are not equivalent.
"12x" gives us the idea what the factor would have to be (4 or 3), if the second equation of the second system would be a multiple of any of the equations in the first system.
as we would have to multiply 3x by 4 to get 12x, and 4x by 3 to get 12x.
but then 2y×4 = 8y, or 2y×3 = 6y, and that is not the same as 2y (part of the first equation of the second system).
that is why this first equation of the second system is not a multiple of either equation in the first system.
and that makes it impossible for both systems to be equivalent. that the second equations are identical, is then not relevant anymore.
Please help I don’t understand this
On solving the provided question, we can say that - the area of the following rectangle is 200 cm sq.
What is rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
here,
we have
L = 20 cm
and B = 10 cm
Area of rectangle, A =L X B = 20 X 10 = 200 cm sq.
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Can you please help me
Answer:
x=16
Step-by-step explanation:
the angle would be 1/2 of the arc so here's the steps
(2)7x+16=18x-32
14x+32=18x-32
+32 +32
14x+64=18x
-14x . -14x
64=4x
64/4=4x/4
x=16
what is the first step to solve the system using substitution?
2y+x=4 3y=2x+6
A. Isolate a variable in one of the equations
B. Set one of the equations equal to zero
Answer:
A.
Step-by-step explanation:
just put it i swear it will help lollllll
The great state of Kansas, home of Pizza Hut, Wyatt Earp, the fabulous Jayhawks (and Shockers), that Great Wizard, the half-way point between L.A. and NY city, and the Beef Bowl football game, had five (5) electors in electoral college for the 2008 presidential election. Based upon that information, how many Senators does Kansas have in the U.S. Senate currently
Answer:
Not possible to calculate with the information
Step-by-step explanation:
Given
[tex]Elector = 5[/tex] (each)
Required
The number of Kansas senators presently in the US senate
First, it should be noted that the given information applies to 2008 presidential election
Next, the given information states the number of electors each of the given locations had in the electoral college.
There was no information about the number of senators in the senate (presently or 2008).
Hence, additional information is required to answer the question.
a particular dress requires 3 1/4 yards of fabric for manufacturing. if the matching jacket requires 1/6 yards less fabric, how much fabric is needed for both pieces?
Answer: The matching jacket requires 1/6 yards less fabric than the dress, which is 3 1/4 - 1/6 = 3 1/4 - 2/12 = 3 1/4 - 1/6 = 3 1/4 - 1/6 = 3 1/4 - 1/6 = 3 3/12 yards of fabric.
To add these two amounts of fabric together, you need to add the yards and the inches separately.
For the dress: 3 1/4 yards = 3 + 1/4 = 3 + 0.25 = 3.25
For the jacket: 3 3/12 yards = 3 + 3/12 = 3 + 0.25 = 3.25
So, for both pieces, the required fabric is 3.25 + 3.25 = 6.5 yards
Step-by-step explanation:
Use Exponential Functions
From the table below, determine whether the data shows an exponential function. Explain why or why not.
a. Yes; the domain values are at regular intervals and the range values have a common factor 8.
b. Yes; the domain values are at regular intervals and the range values have a common factor 4.
c. No; the domain values are not at regular intervals.
d. No; the domain values are at regular intervals and the range values have a common factor 4.
Please select the best answer from the choices provided.
Answer:
B. Yes; the domain values are at regular intervals and the range values have a common factor 4.
Step-by-step explanation:
I calculated it logically
Does anyone know how to solve this?
And please explain your answer
[tex] \huge \fbox{Answer : }[/tex]
The value of k for which
[tex] \sin(k - x) = \cos(x) [/tex]
is
[tex] \dfrac{\pi}{2} [/tex]
Line segment AB = 12, its image after a dilation is 36. What is the scale factor of the dilation?
The scale factor of the dilation is 3
How to determine the scale factor of the dilation?From the question, we have the following parameters that can be used in our computation:
Line segment AB = 12 units
After the dilation = 36 units
The scale factor of the dilation is then calculated as
Scale factor of the dilation = After the dilation/Line segment AB
Substitute the known values in the above equation, so, we have the following representation
Scale factor of the dilation = 36/12
Evaluate
Scale factor of the dilation = 3
Hence, the scale factor is 3
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An equilateral triangle with side length 2.5 is dilated with a scale factor of 6. What is the length of one side of the new figure?
Answer:
18
Step-by-step explanation:
Ellie brought 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad. How much did she spend?
Ellie spend of $37.8 for 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The amount is not given for each hot dog, hamburger and potatos.
But Ellie brought 2 packs of hot dogs ,
3 lbs of hamburger, and
2 lbs. of potato salad
Let us consider each hot dog is $6
Hamburger is $5.6 and potatoes is $4.5
Total amount is 2(6)+3(5.6)+2(4.5)
12+16.8+9
$37.8
Hence, Ellie spend of $37.8 for 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad
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Math To Do, Ready
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Park View Apartments has 2 buildings. Each building has 3 floors. Each floor has
16 windows. What is the total number of windows in the Park View Apartment
buildings?
Answer:
(probably) 96
Step-by-step explanation:
2 buildings, 3 floors, 16 windows.
first, 16x3=48
and then 48x2=96
So, the total number is 96.
A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step.
10x – 2y = -36
7x – 2y = -30
-Add to eliminate y.
-Subtract to eliminate x.
-Subtract to eliminate y.
-Add to eliminate x.
Answer:
x=-2
y= 8
Step-by-step explanation:
Given data
10x – 2y = -36-----------1
7x – 2y = -30--------------2
-Subtract to eliminate y
3x-0= -6
3x= -6
x= -6/3
x= -2
Put x= -2 in
7(-2)– 2y = -30
-14-2y=-30
-14+30=2y
16=2y
y= 16/2
y= 8
+
-4
+
-3
+
-2
+
0
+
1
+
2
-5
-1
3
4
5
Choose 1 answer:
A
23
B
23
23
Answer:
1356
Step-by-step explanation:
Ina writes the expression below. [x + 5) - (x - 5] What is the value of Ina's expression for x= 10?
Answer:
10
Step-by-step explanation:
Given the expression below.
[x + 5) - (x - 5]
If x = 10, we will have to substitute x = 10 into the expression given as shown;
[x + 5) - (x - 5]
=[10 + 5) - (10 - 5]
= 15 - 5
= 10
Hence the required value is 10
1) A new phone costs $285. If the tax 5%, what is the total cost of the phone? Round to the nearest cent
if necessary. Show all work.
Answer:
299.25
Step-by-step explanation:
285x.05=14.25 tax
285 + 14.25=299.25 total cost
If ⅓y = 9; then y =?
Answer:
y = 27Eexplanation:
1/3y = 9
y/3 = 9
y = 9 × 3
y = 27
PLZ Hlp extra credit imma fail no link!!!
Answer:
B, C, and F
Step-by-step explanation:
You can double check my answers and it'll make sense.
2 to the power of 4 means you multiply 2 by itself 4 times.
The answer of that would be 16.
4 x 4 also equals 16 so therefore those three answers are equivalent.
Answer:
a and c
Step-by-step explanation:
it says equivalent to
Determining Which Measure
Check
Determine the appropriate measure for each description.
Amount of confetti stuffed in a tube
Volume
Surface Area
Amount of soup in a can
Amount of paper to cover a can
Amount of paint for outside of tube
Amount of cardboard to make a tube
Amount of dirt in a flower pot
5) Intro
Done
Tutoring
Activity
Answer:
VOLUME:
amount of confetti stuffed in a tube
amount of soup in a can
amount of dirt in a flower pot
SURFACE AREA:
amount of paper to cover a can
amount of paint for outside of tube
amount of cardboard to make a tube
Step-by-step explanation:
Please help!!! Also do not put a link as your answer. Whoever answers this first with work shown will get Brainliest, and 30 points.
What is the equation of a parabola with (-3,3) as the focus, and y=5 as the directrix?
Remember no link! :)
Answer y = 1/4 (x+3)^2 + 4
Step-by-step explanation:
If the focus is (-3, 3) and the directrix is y=5, the vertex is at (-3, 4). a = 1/4p, p=1, a=1/4. (h,k) is the vertex.
y=a(x-h)^2 +k
y=1/4(x+3)^2+4
WHAT IS THE VOLUME OF THIS THING
Tip: Before finding a volume, you'll need to know the FORMULA of it. So the formula for a volume is Length x Width x Height. Then you should be able to solve any shape.