Answer: 0.2273
Step-by-step explanation:
Probability density function for uniform distribution is given by :-
[tex]f(x)=\dfrac{1}{b-a}[/tex], where x is uniformly distributed in [a,b].
Let x denotes the waiting time for this bus.
Given : The waiting time for a bus has a uniform distribution between 2 and 13 minutes.
Probability distribution function of x for interval [2,13] will be :-
[tex]f(x)=\dfrac1{13-2}=\dfrac{1}{11}[/tex]
Required probability : P(x<4.5) = [tex]\int^{4.5}_{2}f(x)\ dx[/tex]
[tex]=\int^{4.5}_{2}\dfrac1{11}\ dx\\\\=\dfrac1{11}[x]^{4.5}_{2}\\\\ = \dfrac1{11}(4.5-2)\\\\=\dfrac1{11}(2.5)\approx0.2273[/tex]
Hence, the probability that the waiting time for this bus is less than 4.5 minutes on a given day = 0.2273
The sum of the interior angles of a triangle is _______. 90° 180° 270° 360°
Answer:
180
Step-by-step explanation:
Help ASAP! And explain!
Answer:
Option (2)
Step-by-step explanation:
Given:
AC is an angle bisector of ∠DAB and ∠DAB
m∠BCA ≅ m∠DCA
m∠BAC ≅ m∠DAC
To Prove:
ΔABC ≅ ΔADC
Solution:
Statements Reasons
1). m∠BCA ≅ m∠DCA 1). Given
2). m∠BAC ≅ m∠DAC 2). Given
3). AC ≅ AC 3). Reflexive property
4). ΔABC ≅ ΔADC 4). ASA property of congruence
Therefore, Option (2) will be the correct option.
heather spend 2/7 of her money buying presents. she then had €48.65 left how much had she at first?
Given :
Heather spend 2/7 of her money buying presents.
She then had €48.65 left.
To Find :
The initial amount of money she had.
Solution :
Let, initial amount she had is €x.
So,
[tex]x - \dfrac{2x}{7} = 48.65\\\\\dfrac{5x}{7} = 48.65 \\\\x = \dfrac{48.65\times 7}{5}[/tex]
x = €68.11
Therefore, initially he had €68.11 .
2+2 pls help quick or ill fail sike awnser 7/3x = 2/3
Answer:
21/3 i think
Step-by-step explanation:
uh-
well 2+2 is 4 and 7/3x=2/3 is 2/7
Write the equation of the line in slope-intercept form.
Answer: y=-3/4x
Step-by-step explanation:
The slope intercept form is when you use the equation y=mx+b (m is the slope and b is the y-intercept). First, let's find the y intercept. The y intercept is what y would be if x is 0. here, you can see that this particular line passes through the origin. So, the y-intercept is zero because when x passes through zero, y is also zero. Next, let's find the slope. The formula for slope is change in y/change in x. Let's randomly choose 2 points off this line. To make this a thousand times easier for us, let's choose the points (-4, 3) and (4, -3). Now, to find the change in y, let's find the difference between the 2 y coordinates we have chosen. To do this we just need to do -3-3, which gives us -6. Now let's find the change in x. To do this we will do the same thing we did to find the change in y but this time we'll use the x coordinates. We will do 4-(-4), which simplifies to 8. Now, we're almost done. Just divide the change in y by the change in x. You will get -6/8. This can be simplified to -3/4. So now we know our slope is -3/4 and our y-intercept is 0. Let's insert them into the equation. y=-3/4x+0. We know that we can just get rid of that 0 because 0 literally means nothing. So our final answer is y=-3/4x. Hope this helps!
Translate and solve: 58% of what number is 145?
Answer:
58% of 250 is 145.
Step-by-step explanation:
145 * 100/58
= 250
Answer:
250
Step-by-step explanation:
HELPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
The lines represent the lines of symmetry where the image can be reflected upon. Hence it is reflectional.
The dot in the middle of the image tells us that the image can be rotated about the dot to produce the exact same image. Hence it is rotational.
The answer is both rotational and reflectional.
Answer:
I broke it to phrases. Make sure to read both.
It is rotational symmetry. This is because rotational symmetry means it is able to be rotated, and looks the same. This is true with this figure. The lines demonstrate that it is an equal dimensioned 2D shape.
It is ALSO reflection symmetry because this means it can be split through the center and looks exactly the same, as if it was a reflection. This is true here too because it has the same amount of lines split through the same angle on each side making it equal. You can also see a line already going through the shape, and as you can see if you look at see side it looks equal, like a reflection.
The answer is D.
Please help with this!! Triangles and angles
Answer:
Hello, for the second question, you can actually form a triangle from the line. From there, you can see the height (aka y) will be easier to solve. I hope this helps!
Ans: 1) 47.5
2) 3.4
Step-by-step explanation:
c< (78/10 - 6/10) ÷ 9/10
Answer:
c < 8
Step-by-step explanation:
What is the vertex of the equation y = (x - 3)2 + 7?
Answer:
(3,7)
Step-by-step explanation:
The point (-6, 5) was translated right 4 and down 6. What are the coordinates of the new
point?
O (10,11)
O (-2,1)
O (-2,-1)
O
(-10, 11)
Answer the question above
Answer:
[tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]
Option A is correct.
Step-by-step explanation:
We need to find equivalent of [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]
First we solve [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]
We get [tex]-\frac{1}{\sqrt{3} }[/tex]
Now checking all the options.
Option A: [tex]tan\:(-\frac{\pi}{6} )[/tex]
Solving [tex]tan\left(-\frac{\pi }{6}\right)\: we\: get\: \mathbf{ -\frac{1}{\sqrt{3} }}[/tex]
Option B: [tex]tan\left(\frac{7\pi }{6}\right)[/tex]
Solving [tex]tan\left(\frac{7\pi }{6}\right)\: we\: get\: \mathbf{\frac{1}{\sqrt{3} }}[/tex]
Option C: [tex]cot\left(\frac{5\pi }{6}\right)[/tex]
Solving [tex]cot\left(\frac{5\pi }{6}\right)\:we\:get\:\mathbf{-\sqrt{3} }[/tex]
Option D : [tex]tan\left(-\frac{5\pi }{6}\right)[/tex]
Solving [tex]tan\left(-\frac{5\pi }{6}\right) \:we\:get:\mathbf{\frac{1}{\sqrt{3} } }[/tex]
So, looking at the options, only Option A has the same result as given question
So, [tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]
Option A is correct.
(50 POINTS) (PLEASE ANSWER THE QUESTION, NOT JUST TRY AND TAKE MY POINTS, I NEED HELP ON THIS SO DO NOT ANSWER IF YOU DO NOT KNOW OR ARE JUST TRYING TO TAKE MY POINTS)
Is there a proportional relationship between number of sandwiches and the cost of the order? Explain how you know.
(The picture shows what the relationship is now all I need to find is if it’s proportional or not, and why. Can you help me please? It’s homework, and it’s due in 5 minutes.)
Answer:
No, there is no proportional relationshipStep-by-step explanation:
The proportional relationship is:
y = kx, which is a special form of linear equation, with zero y-interceptIn the given case we have:
y = 4.5x + 10This is a linear function but not proportional relationship because it has y-intercept, different than zero
help me please the first answer gets the brainiest
Answer:
that is simple, use the graph and put parenthesis around say 1 and 2 then graph it then keep doing that throughout the graph if you want further explanation just ask
Step-by-step explanation:
What is the inverse of the function f(x) = 4x + 8?
Answer:
h(x) = (1/4)x - 2 which is choice A
Step-by-step explanation:
Replace f(x) with y. Then swap x and y. Lastly, solve for y to get the inverse.
f(x) = 4x+8
y = 4x+8
x = 4y+8
x-8 = 4y
4y = x-8
y = (x-8)/4
y = x/4 - 8/4
y = (1/4)x - 2
h(x) = (1/4)x - 2
1.6[7-4m]=30
2.[5+6a]-3=8
Answer:
(a,m=(-1499/1812, 1/2)
Step-by-step explanation:
hope this helps!
Help please......................
Answer:
6 1/2
Step-by-step explanation:
4 1/2+2 1/2
= 9/2+5/2
=14/2
=7
Hope This Helps, BadAtMath99
1. If you make 8 1/5 cookies in 1/4 of an hour, how many cookies can you make in one hour? Find
the unit rate.
Answer:
32.8
Step-by-step explanation:
you divide 8 1/5 by 1/4 to find the unit rate.
Which shape is an example of rotational symmetry
(-7/10)=?/10 change to higher terms please help !!
Answer:
-7
Step-by-step explanation:
you cant change the numerator if you cant change the denominator
Given: wzx and yzx are right triangles, wx = yx. Prove wxz ~= yx .....plz answer will give brainlyest!!
Answer:
The answer is below
Step-by-step explanation:
From the question,
Statement Reason
ΔWZX and ΔYZX are Given
right angled triangles
WX = YX Given
XZ ≅ XZ Reflexive property. The reflexive
property of congruence states that
any shape is congruent to itself.
∠XZW = ∠XZY Definition of right angle.
∠XWZ = ∠XYZ Definition of isosceles triangle.
Triangle XYW forms a right angled
triangle since YX = WX
∠XWZ + ∠WXZ + ∠XZW = 180° Sum of angles in triangle WZX
∠XZY + ∠XYZ + ∠YXZ = 180° Sum of angles in triangle YZX
∠XWZ + ∠WXZ + ∠XZW = Substitution
∠XZY + ∠XYZ + ∠YXZ
∠XYZ + ∠WXZ + ∠XZY = Substitution
∠XZY + ∠XYZ + ∠YXZ
∠WXZ = ∠YXZ Simplification
(4x)° (5x+18)° 81° solve for x
Answer: If you see my picture and you will see my answer
Step-by-step explanation: Hope this help
Please help I’m stuck on this...30 points for the best answer pls hurry and help
Answer:
it is A, the first one
Step-by-step explanation:
bc +6 and then -10 it ends up on -4
Jada has a coin jar containing n nickels and d dimes worth a total of $3.65. The
equation 0.05n + 0.1d = 3.65 is one way to represent this situation.
Which equation is equivalent to the equation 0.05n +0.1d = 3.657
Answer:5n+10d=365.7 pennies
Step-by-step explanation:
Suppose you have a population in which 60% of the people approve of gambling. Is the value 0.60 a parameter or a statistic
Answer:0.60 is a parameter .
Step-by-step explanation:
In statistics, a parameter is a number that summarize the data for a whole population.
On the other hand , statistic gives a measure for sample of population.
Given: We have a population in which 60% of the people approve of gambling.
60% = 0.60
Since it is a measure for the population , it is denoted as population parameter.
Hence, 0.60 is a parameter not statistic.
WILL GIVE BRAINIEST AND 100 POINTS TO CORRECT ANSWER
A parallelogram is shown below:
Part A: What is the area of the parallelogram? Show your work. (5 points)
Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)
Answer: part a: area = bh part b: split it on its diagonals
Step-by-step explanation:
PLEASE HELP !!! i need to know the surface area
Answer:
244 ft²
Step-by-step explanation:
Rectangle Base Area: 6•4=24
Rectangle Side Area: 8•10=80; 80•2(sides) = 160
Triangle Sides Area: (10•6=60); 60/2(area of triangle) = 30; 30•2(sides)=60*
*Technically can skip the divide by two and then multiply by two, since they cancel out*
(Area of Triangle Formula= 1/2bh)
Add areas together: 24+160+60= 244 ft²
Please help me answer this with the correct answer :)
Explain your answer
I will give braisnlt :) c
Olivia is cutting a 1 1/2 m by 3/4 m piece of rectangular paper into two pieces along its diagonal.
Find the area of each of the pieces.
Answer:
[tex]area = length \: \times \: width \\ = \frac{11}{2} \times \frac{3}{4} \\ = \frac{(11 \times 3)}{(2 \times 4)} \\ = \frac{33}{8} \\ area = 4.125 \: {m}^{2} \\ or \\ area = 4 \frac{1}{8} \: {m}^{2} [/tex]
An experiment was conducted as a one-way factorial design with K sample means, each based on n scores. What is the number of degrees of freedom for the between mean squares
Answer:
The mean squares has d.f (n-1)
Step-by-step explanation:
The total number of degrees of freedom is n-1 as there is only one restriction of computing the grand mean. The d.f for k samples is k-1 beacuase the mean of the sample means must equal the grand mean. Similarly , the d.f for within SS is n-k , due to the k restrictions of computing the k sample means. Hence we find that
Total df= Within df + Between df
n-1= (n-k)+(k-1)
Between SS has (k-1) d.f
Within SS has (n-k) d.f
These two quantities are known as mean squares and has d.f (n-1)