An estimate of the mean travelling time will be 24.8 mins.
What are mean?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Given;
Time > timemark > frequency
0 – 10 > 10/2 = 5 > 5
10 – 20 > (10+20)/2 = 15 > 15
20 – 30 > (20+30)/2 = 25 > 13
30 – 40 > (30+40)/2 = 35 > 10
40 – 50 > (40+50)/2 = 45 > 7
The mean time for the 50 people can be calculated as;
Mean = Summation of (mid-time x frequency) / total frequency
Mean = [5x5 + 15x15 + 25x13 + 35x10 + 45x7] / 50
Mean = [25 + 225 + 325 + 350 + 315] / 50
Mean = 1240 / 50
Mean = 24.8 mins
Learn more about mean and median;
https://brainly.com/question/17060266
#SPJ1
Given: NQ is the bisector of ZMNP and ZNMQ
ZNPQ
Prove: Δ MNQ =ΔΡΝΟ
M
N
Q
P
1) [tex]\overline{NQ}[/tex] is the bisector of [tex]\angle MNP[/tex] and [tex]\angle NMQ \cong \angle NPQ[/tex] (given)
2) [tex]\angle MNQ \cong \angle QNP[/tex] (a bisector splits an angle into two congruent angles)
3) [tex]\overline{NQ} \cong \overline{NQ}[/tex] (reflexive property)
4) [tex]\triangle MNQ \cong \triangle PNQ[/tex] (AAS)
The cost of 5kg of rice is Rs.425. find the cost of 1kg of rice
Answer:
Rs 85
Step-by-step explanation:
Cost of 5kgs of rice = Rs 425
Cost of 1 kg of rice = 425/5
= Rs 85
So, the cost of a kg of rice is Rs 85
what is the area of aregular hexagon with side length of 10units square?
Answer:
h ≈ 259.81
Step-by-step explanation:
i used the hexagon calculator
Answer:
150 sqrt 3 = 259.8076 units^2
Step-by-step explanation:
Interior angles of hexagon = 120 degrees ....now look at the Right 1/2 of the hexagon... see illustration....this is a trapezoid...
One base is 10 units
the other labelled 'base' is
10 cos 60 + 10 cos 60 + 10 = 20 units
the height of this trapezoid is 10 sin 60 = 10 * sqrt(3)/2 = 5 sqrt(3)
the area of this trapezoid is then 1/2 ( 10+ 20) * 5 sqrt (3) = 75 sqrt 3
there are TWO of these trapezoids in the hexagon so total area is then
2 * 75 sqrt 3
150 sqrt 3
You are drawing an angle in standard position and you swing the terminal side until an angle of 281 is made. how many more degrees can you continue swinging so that the terminal side is at the same position as the initial side
Answer:
79°
Step-by-step explanation:
An angle in standard position has it "initial" side glued on to the positive x-axis. The other ray that makes the angle swings around the origin, (0,0) like a hand of a analog clock (but moving backwards) straight up is 90°, straight to the left is 180° straight down is 270°. And all the way back to the start is 360°.
If the angle is 281° it can go 79° more degrees before getting back to the start.
360° - 281° = 79°
y = 5x, what is the domain of this function?
Answer: The domain would be all real numbers.
Step-by-step explanation:
This is not a piecewise function, so it means that the domain, which means all possible x values, is all real numbers, not imaginary.
i need the missing numbers
Answer:
Step-by-step explanation:
1) y = [tex]\frac{1}{3}[/tex]
2) x = [tex]\frac{1}{3}[/tex]
3) y = -3
4) x = [tex]\frac{-1}{-12}[/tex]
Answer:
11,3,3,12
Step-by-step explanation:
1st y= 11 because -2/3(-6)=4 4+7=11
1st x= 3 because -2/3(3)=-2 and -2+7 is 5
2nd y=-3 because -2/3(15)=-10 -10 +7=-3
2nd x=-12 because -2/3(-12)=8 8+7=15
find the eslope of the line pasing throungh the points A(5,-9) and B (-5,7).
Step-by-step explanation:
(7+9)/(-5-5)= 16/-10= -8/5
y + 9 = -8/5(x - 5)
y + 9 = -8/5x + 8
y = -8/5x - 1
Solve for y.
Enter your answer in the box.
Answer:
y=10
Step-by-step explanation:
Since this triangle has equal length sides, it is equilateral and also has equal measured angles. This means that each angle is 180/3=60 degrees.
To solve for y, we can do 5y+10=60. Simplifying, we get
5y=50
y=10.
Answer:
4
Step-by-step explanation:
So all the angles will have the same value. In a triangle all the angles will add up to 180, so each angle would have to be 60 degrees. So to know Y we need 6x+6=5y+10. So subtract 10 from each side, then subtract 6x from each side to get 4=x
Vertical lines m and n are intersected by lines k and j. At the intersection of lines m and k, the bottom right angle is (x minus 30) degrees. At the intersection of m and j, the uppercase right angle is y. At the intersection of lines k and n, the bottom left angle is (x + 50) degrees.
Find the values of x and y that make k || j and
m || n.
x =? °
y = ?°
Using the same-side interior angles theorem, the values of x and y are:
x = 80
y = 130
What is the Same-side Interior Angles Theorem?The same-side interior angles theorem states that two interior angles on same side of a transversal are supplementary.
(x - 30) and (x + 50) are same-side interior angles, therefore:
(x - 30) + (x + 50) = 180
Solve for x
x - 30 + x + 50 = 180
2x + 20 = 180
2x = 180 - 20
2x = 160
x = 160/2
x = 80
(x - 30) + y = 180
Plug in the value of x
(80 - 30) + y = 180
50 + y = 180
y = 180 - 50
y = 130
Learn more about the same-side interior angles theorem on:
https://brainly.com/question/13867198
#SPJ1
Answer:
X= 80
Y= 130
Step-by-step explanation:
do you trust me???
help please asap and thank you
Step-by-step explanation:
I am not sure I can see the room limitations.
what I see is that the kitchen is one large rectangle from
(-8, 8) to (0, 0).
the rec room is Amado one large rectangle from
(5, 6) to (8, -7).
I am basing the rest in this.
for the area calculations, please consider that the area of a rectangle is length × width, and the area of a triangle is half of the rectangle it splits in half with its baseline (as diagonal).
A)
area 1 =
rectangle (-8, 8) to (-5, 3)
plus
half of the rectangle (-5, 8) to (-3, 3)
3×5 + 1/2 × 2×5 = 3×5 + 1×5 = 15 + 5 = 20 yd²
area 2 =
half of the rectangle (-5, 8) to (-3, 3)
plus
rectangle (-3, 8) to (0, 3)
1/2 × 2×5 + 3×5 = 20 yd²
area 3 = area 4 =
half of the rectangle (-8, 3) to (0, 0)
1/2 × 8×3 = 4×3 = 12 yd²
B)
the total area of the kitchen is the sum of all 4 areas
20 + 20 + 12 + 12 = 64 yd²
we can also calculate this in general, seeing that the general dimensions of the kitchen are 8×8 : from (-8, 8) to (0, 0).
8×8 = 64 yd²
Type the correct answer in the box
Answer:
[tex]log\boxed{7}[/tex]
Step-by-step explanation:
[tex]log\frac{14}{3}+log\frac{11}{5}-log\frac{22}{15}[/tex][tex]=log\bigg(\frac{14}{3}*\frac{11}{5}\bigg)-log\frac{22}{15}[/tex][tex]=log\bigg(\frac{14*11}{3*5}\bigg)-log\frac{22}{15}[/tex][tex]=log\bigg(\frac{154}{15}\bigg)-log\frac{22}{15}[/tex][tex]=log\bigg(\frac{154}{15}\div\frac{22}{15}\bigg)[/tex][tex]=log\bigg(\frac{154}{15}\times\frac{15}{22}\bigg)[/tex][tex]=log\bigg(\frac{154}{22}\bigg)[/tex][tex]=log\boxed{7}[/tex]factorise the following expressions:
a) 14w + 21
b) 27x+18
Step-by-step explanation:
a) 14w + 21
- Factor out 7 from the expression
7 (2w + 3)
b) 27x + 18
- Factor out 9 from the expression
9 (3x + 2)
Hi!
___________________________________________________________
[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]
#1 7(2w+3)
#2 9(3x+2)
[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]
We need to factor these two expressions.
[tex]\twoheadrightarrow\sf 14w+21[/tex] and [tex]\twoheadrightarrow\sf 27x+18[/tex]
For now let's focus on the first expression.
Note that both terms, 14w and 21, have something in common.
In fact, they have 7 in common. So we factor it out by dividing 14w and 21 by 7.
[tex]\twoheadrightarrow\sf14w\div7=2x\\\twoheadrightarrow\sf21\div7=3[/tex]
[tex]\bullet[/tex] Put the terms together, with a plus sign in between since they are positive
[tex]\twoheadrightarrow\sf 2w+3[/tex]
[tex]\bullet[/tex] Put parentheses around 2w+3
[tex]\twoheadrightarrow\sf (2w+3)[/tex]
[tex]\bullet[/tex] Put7 outside the parentheses
[tex]\twoheadrightarrow\sf7(2w+3)[/tex]
[tex]\bullet[/tex] Great job! We factored the expression
__________________________________________________________
This problem can be solved the same way!
This time, both terms have a 9 in common.
[tex]\twoheadrightarrow\sf 27x+18[/tex]
So we divide both terms by 9.
[tex]\twoheadrightarrow\sf 27x\div9=3x\\\twoheadrightarrow\sf18\div9=2[/tex]
[tex]\bullet[/tex] Put the terms together, with a plus sign in between since they're positive
[tex]\twoheadrightarrow\sf 3x+2[/tex]
[tex]\bullet[/tex] Next, put parentheses around 3x+2 and put 9 outside the parentheses
[tex]\twoheadrightarrow\sf 9(3x+2)[/tex]
[tex]\bullet[/tex] Great job! We factored both expressions
--
Hope that this helped! Best wishes.
[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]
--
What type of polynomial is P(x)=x^3-1?
According to no. of terms it's binomial since it has two terms , according to the power it's cubic function since the power of X is 3
PLEASE GIVE BRAINLIEST
A tree height when planted was 5ft. 8inches. It has grown 14ft. 10 inches how much did it grown
Answer:
Subtraction will happen in this case.
14ft-5ft= 9ft
10 inches-8 inches= 2 inches
So, it grew 9ft. and 2 inches.
what is the result of applying the square root property to the equality of the equation X plus B over two a squared equals -4 AC plus B2 over 4a two squared
After doing simplification, the result that we got is the quadratic formula
x = [-b ±√(b² - 4ac)] / 2a.
The given statement can be explained with the following equation:
[x + (b/2a)]² = (b² - 4ac) / 4a²
Now, we will take the root on both the sides:
x + (b/2a) = ±√[(b² - 4ac) / 4a²]
x = -(b/2a) ± √[(b² - 4ac) / 4a²]
x = [-b ±√(b² - 4ac)] / 2a
The final equation resembles the quadratic formula.
So, the result of applying the square root property to this equation is that we get the quadratic formula after simplification.
For more explanation about quadratic equations, refer to the following link:
https://brainly.com/question/1214333
#SPJ10
How many solutions are there for the system of equations of shown on the graph?
O No solution
O One solution
O Two solutions
O Infinitely many solutions
Answer:
one solution
(second option listed)
Step-by-step explanation:
We can that these two lines, each representing one equation/function, only meet at one specific value.
In a system of equations, we are essentially looking for a solution that works for both equations.
So, if both lines share a point/value (meaning they intersect), that point is a solution to the system of equations.
Because these lines only overlap at one point, this system of equations has one solution.
Answer:
1 solution (C)
Explanation:
They have one point of intersection.
Use the given graph to determine the limit, if it exists.
The limit in the given graph [tex]\lim_{x \to \ 2^{-} } f(x)[/tex] is 3 and [tex]\lim_{x \to \ 2^{+} } f(x)[/tex] is -2
Given graph of a function and we have to determine the limits when x tends to 2 minus and when x tends to 2 plus.
When we see the graph we can find that the graph is not of the linear function because it is not straight line.
From x=2 and onwards it gives values values of only -2 because it is parallel to x-axis at y=-2.From x=2 and leftwards it gives values values of only 3 because it is parallel to x-axis at y=3.
Hence the limit of the function whose graph is shown is 3 and -2.
Learn more about limits at https://brainly.com/question/27517662
#SPJ10
0123456 7 8 9 10 what is this called.........ence.fill in the missing space.
Answer:
sequence
Step-by-step explanation:
a sequence is essentially a set [group/list] of numbers, and each number has a specific placement [meaning that there is an order]
hope this helps!!
Answer: this, a set of number in an order, is called a sequence
fill in the blank: sequence
Mila is preheating her oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 10° per minute after being turned on. What is the temperature of the oven 15 minutes after being turned on? What is the temperature of the oven t minutes after being turned on?
Temp after 15 minutes:
Temp after t minutes
need answer quickly
PLSS HELP ME PLSSS
a) Write 2 expressions for the area of the shaded region. (2 marks)
b) Find the length of the shaded region if the perimeter is 48cm. (2 marks)
c) Find the area of the shaded region if perimeter is 48cm. (1 mark)
Answer:
(1) 85×9=765 (2) 127×3=381
Janelle is painting a spherical model of a human cell for a science fair. She uses 615.44 square inches of paint to
evenly cover the outside of the cell with one coat of paint. What is the diameter of the cell model? (Use 3.14 for the
value of n.)
7 in.
8 in.
14in
16in
The diameter of the cell model according to the taks content is; 14in.
Diameter of the cell modelVolume of paint = 615.44 square inches
π = 3.14
Volume of a sphere = 4πr²
615.44 = 4 × 3.14 × r²
615.44 = 12.56/r²
r² = 615.44 ÷ 12.56
r² = 49
r = 7
Hence, the diameter of the cell is; 2 × r = 2 × 7 = 14in.
Learn more about volume of sphere:
https://brainly.com/question/10171109
#SPJ1
387 kilograms = x grams
Answer:
a. 387,000g
b. 38,700g
c. 387g
d. 3.87g
Answer:
a
Step-by-step explanation:
I kilogram is 1000 grams
4. How are the zeros of a polynomial function used to create a graph?
The steps that are used for creation of the graph of a polynomial function are listed below.
The steps to create the graph of a polynomial function.In Mathematics, the steps that are used for creation of the graph of a polynomial function are:
Predict the end behavior of the polynomial function.Determine the real zeros of the polynomial function. Also, you should check if the function can be rewritten in factored form to find the zeros. Else, you should use Descartes' rule of signs in identifying the possible number of real zeros.Make a table of values to solve for several points.Plot these points and draw a smooth-continuous curve to connect the points.Read more on polynomials here: https://brainly.com/question/19571593
#SPJ1
Triangle BDC is isosceles.
Circle A is shown. Line segments A B, A C, and A D are radii. Lines connect each of the points on the circle to the other points to form a triangle. Sides C B and B D are congruent.
Which angle is congruent to ?
As per the question, the answer is ∠CAB is congruent to ∠BAD.
The isosceles triangle :An isosceles triangle named BDC is positioned within a circle. The segments of the circle they pass through are congruent because the faces of the triangles BC and BD are congruent, or identical.
Due to the triangle's faces BC and BD being identical and congruent
BC=BD
Additionally, the segments of the circle it goes across are congruent.
In the case of ΔBAC & ΔBAD
AC=AD= the radius of the circle
AB=BA
Thus, BAC is consistent with BAD according to SSS guidelines.
As a result, the central angles of the sections are also congruent; hence, BAD and CAB are congruent.
As a result, ∠BAD is equivalent to ∠BAC OR ∠CAB.
Learn more about SSS guidelines:
https://brainly.com/question/535562?referrer=searchResults
#SPJ10
Answer:
B on edge
Step-by-step explanation:
CAD
Find the length of side x in simplest radical form with a rational denominator.
30°
60°
√12
D
The value of x is 10√3 .
The missing figure is attached with the answer
What is a Triangle ?A triangle is a polygon with three sides , three angles and three vertices.
A right angle is a triangle in which one of the sides of a triangle is equal to 90 degree.
As it is a right angled triangle therefore the trigonometric ratios are applicable
From the given figure sin 60 needs to be determine to find the value of x
sin x = Perpendicular / Hypotenuse
sin 60 = 5 / x
[tex]\rm \dfrac{\sqrt{3}}{2} = \dfrac{5}{x}[/tex]
x = 10√3
Therefore the value of x is 10√3
To know more about Triangle
https://brainly.com/question/2773823
#SPJ1
At Pine Time Summer Camp, 12 campers sign up to go swimming. Of the 12 campers, 2/3 of them are advanced swimmers. How many of these campers are advanced swimmers?
(not highschool)
One root of f (x) = x cubed 10 x squared minus 25 x minus 250 is x = –10. what are all the roots of the function? use the remainder theorem.
Answer:
x= -10 , x= -5 , x=5
Step-by-step explanation:
we are given function as
x^3+10x^2-25x-250
We are given one of zero is x=-10
we can find all possible factors of 250
so, we will check zeros at x=-5 and x=5
At x=-5:
we can plug x=-5
At x=5:
we can plug x=5
So, other zeros are
x=-5 and x=5
All zeros are
x=-10 , x=-5 , x=5
What term does the formula sin A/a = sin B/b represent?
Answer:
Law of sines
Explanation:
The law of sines states that the ratios of the sines of angles and their opposite sides are equal for all angles inside a triangle.
Step-by-step explanation:
hope you can understand
Help me pleas. You might have to zoom in on the picture to see better.
Answer:
1/2, -1/8, 1/32
Step-by-step explanation:
[tex] - 2( - \frac{1}{4} ) = \frac{1}{2} [/tex]
[tex] \frac{1}{2} ( - \frac{1}{4} ) = - \frac{1}{8} [/tex]
[tex] - \frac{1}{8} ( - \frac{1}{4}) = \frac{1}{32} [/tex]
Mikaela and Viktoria both competed in a curling match on opposing teams. Mikaela
said to Viktoria, "2 more than twice my team's score is the
same as three times your team's score reduced by 3." If
Viktoria's team's score was 7, what was Mikaela's team's
score?
Mikaela's team's score is 8.33
what is Algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Viktoria's team's score = 7
According to question,
= 2+ 7*2 = 16
so, Mikaela team score= 16/3+3= 8.33
Learn more about algebra here:
https://brainly.com/question/953809
#SPJ1