Answer:
1.5
Step-by-step explanation:
if the pressure in the right tire is found to be 22 psi, what is the probability that the left tire has a pressure of at least 25 psi?
Considering the given probability distribution, we have that there is a 0.349 = 34.9% probability that the left tire has a pressure of at least 25 psi.
What is the probability distribution?The probability distribution for the air pressure of the tires of the car(X right, Y left) is given as follows:
f(x,y) = K(x² + y²), 18 ≤ x ≤ 28, 18 ≤ y ≤ 28.f(x,y) = 0, otherwise.The pressure in the right tire is found to be 22 psi, hence y = 22 and:
f(x,y) = K(x² + 484), 18 ≤ x ≤ 28.f(x,y) = 0, otherwise.The value of K is found considering that the sum of all probabilities has to be 1, hence:
[tex]\int_{18}^{28} K(x^2 + 484) dx = 1[/tex]
[tex]\frac{Kx^3}{3} + 484Kx\lbracket|_{x = 18}^{x = 28} = 1[/tex]
Applying the Fundamental Theorem of Calculus:
7317.33K + 13552K - 8712K - 1944K = 1
10213.33K = 1
K = 1/10213.33
K = 0.000098.
The probability that the left tire has a pressure of at least 25 psi is:
[tex]P(X \geq 25) = \int_{25}^{28} 0.000098(x^2 + 484) dx[/tex]
[tex]P(X \geq 25) = 0.000098\int_{25}^{28} (x^2 + 484) dx[/tex]
[tex]P(X \geq 25) = 0.000098\left(\frac{x^3}{3} + 484x\right)_{x = 25}^{x = 28}[/tex]
[tex]P(X \geq 25) = 0.000098(7317.33 + 13552 - 5208.33 - 12100)[/tex]
[tex]P(X \geq 25) = 0.349[/tex]
0.349 = 34.9% probability that the left tire has a pressure of at least 25 psi.
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63+ (2x+8)+(x + 7) = 180
63+ (2x+8)+(x + 7) = 180
63+3x+15=180
78+3x=180
3x=102
x=34
Hey there!
63 + (2x + 8) + (x + 7) = 180
DROP the PARENTHESES:
63 + 2x + 8 + x + 7 = 180
CONVERT TO:
63 + 2x + 8 + 1x + 7 = 180
COMBINE the LIKE TERMS 1:
71 + 3x + 7 = 180
COMBINE the LIKE TERMS 2:
78 + 3x = 180
3x + 78 = 180
SUBTRACT 78 to BOTH SIDES:
3x + 78 - 78 = 180 - 78
SIMPLIFY IT:
3x = 180 - 78
3x = 102
DIVIDE 3 to BOTH SIDES:
3x/3 = 102/3
SIMPLIFY IT:
x = 102/3
x = 34
Therefore, your answer should be:
x = 34
Good luck on your assignment & enjoy your day day!
~Amphitrite1040:)
What is the value of x/2y, when x = 10 and y =1?
2 times 1 is 2 so the equation becomes x/2 and x is 10 so 10/2 is same as 10÷2 which is 5
The midpoint of segment EF is M(4, -1). Find endpoint F if the other endpoint E is at E(2, 3).
The x and y coordinates of the endpoint F are (6,-5)
The midpoint of a line segment is a point that is situated exactly at the middle from the two ends of the line segment
The coordinate of the mid-point or any other point can be found using the section formula.
For a point P with coordinates, the section formula is as follows: (x,y)
which divides the line segment A(x1,y1), B(x2,y2) in the ratio m:n, is given by the equation
Px=mx2+nx1/m+n Py=my2+ny1/m+n
Because the midpoint divides the line segment equally, m and n are both 1 in the midpoint case.
Thus the formula becomes
Px=1*x2+1*x1/1+1 Py = 1*y2+1*y1/1+1
where Px and Py are x and y co-ordinates of the point x and y
It is now assumed that midpoint M has coordinates (4,-1)
Point E is given by (2,3)
We are required to find F
Thus using section formula,
Mx=2+x/2 My=-3+y/2
4=2+x/2 -1=1+y/2
8-2=x -2-3=y
x=6 -5=y
Therefore, the coordinates of x and y of the endpoint F are(6,-5)
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all three sides of triangle x'y'z' must be to the corresponding sides in triangle xyz and the corresponding angles are .
The required solution is ∠X'≅∠X, ∠Y'≅∠Y and ∠Z'≅∠Z.
It is required to find the corresponding angles.
What is angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.
Given :
Corresponding angles are
∠X'≅∠X,
∠Y'≅∠Y
∠Z'≅∠Z
Therefore, the required solution is ∠X'≅∠X, ∠Y'≅∠Y and ∠Z'≅∠Z.
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how many times greater is 0.00006 than 0.000002
The number 0.00006 is greater than 0.000002 by 30 times.
Two numbers , 0.00006 and 0.000002 are given.
We have to find out that by how many times 1st is greater by the 2nd.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.
As per the question ;
Numbers are 0.00006 and 0.000002.
Let's divide them to find how many times 1st is greater by the 2nd.
So ;
0.00006 ÷ 0.000002
Multiply by 10^6 and divide by 10^6
We get ;
[tex]\frac{0.00006 * 10^6}{0.000002*10^6}[/tex]
or
60 / 2
= 30 times
Thus , the number 0.00006 is greater than 0.000002 by 30 times.
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If 25% of a number is 75 and 35% of the same number is 105, find 10% of that number.
Answer:
30
Step-by-step explanation:
to find 10%, find 100% first
because we know what 25% is, the easiest way we can work this out is multiply 25% by 4
so:
[tex] 4 \times 25\% = 100\%\\\\ 75 \times 4 = 300[/tex]
this means that 100% is 300.
now to find 10% all we have to do is divide the number by 10.
[tex]300 \div 10 = 30[/tex]
so 10% is 30
to check we're right, we make sure that 25% and 10% = 35%
75 + 30 = 105, meaning our percentages are correct
Suppose that a>1/2 and the parabola with equation y=ax^2+2 has vertex V. The parabola intersects the line with equation y=-x+4a at points B and C, as shown. If the area of triangle VBC is 72/5, determine the value of A.
Answer:
Y = ×+ 4 a 75 VBC
I HOPE ITS HELP
josh reads a total of 30 books over 6 months. If josh has read 40 books so far,how many months has he been with his book club?
Answer:
8 months
Step-by-step explanation:
5x6 is 30
30 books per 6 month
40 books is 1 month and a bit
the bit is 10 left
5x2 is 10 so 2 more months
6plus 2 is 8
so he has been with his book club for 8 months
You buy a stock that has a price of $50 per share. A week later the stock's price drops to $25 per share (it's lost half its value). If you are affected by loss aversion you would be likely to...
1. Do nothing
2.Buy more shares
3. sell the shares
4.look for other stocks to buy
what is 5.6% as a fraction
Answer:
5.6 =5610=28×25×2=285 in simplest form.
Step-by-step explanation:
Answer:
5 3/5
(heres a picture that will show you, i really hope this helps!!)
which set of coordinates satisfies the equations 3x - 2y=15 and 4x - y=20
Answer:
x=5 and y = 0 coordinate = (5,0)
Step-by-step explanation:
solve the simultaneous equation
hope this works :)
Solve for x.
9^6 = x^3 x 9^3
Answer:9
Step-by-step explanation:
I'm assuming the equation is : [tex]9^{6}[/tex]=[tex]x^{3}[/tex]*[tex]9^{3}[/tex]
1) [tex]9^{6}[/tex]=531441
[tex]9^{3}[/tex] =729
2) 531441=729 [tex]x^{3}[/tex]
3) [tex]\frac{531441}{729}[/tex]= [tex]x^{3}[/tex]
4)729=[tex]x^{3}[/tex]
5) [tex]\sqrt[3]{729}[/tex] =[tex]\sqrt{x}[/tex]^3
6) 9=x
9.45 10^6 divided by 2
Answer:
Step-by-step explanation:
Comment
For this particular problem, the 10^6 will not be affected. All you have to do is divide 9.45 by 2. When you do that, you get
9.45/2 = 4.725
Now add on the 10^6
The answer is 4.725 * 10^6
Personally, I would likely round this to 4.73 because you were given 3 digits of accuracy, so you should give your answer as 3 digits.
Select the statement that correctly compares two numbers.
4.13 = 4.130
5.16 < 5.06
6.28 < 6.08
7.09 > 7.19
The correct answer is option A
• In mathematics, comparison of numbers if the process that defines similar properties between two numbers and identifies that the number if smaller or greater than or equal to the other number.
• In maths there are three special symbols used in comparison of numbers. The basic symbols are
1. Greater than (>)
2. Less than (<)
3. Equals to (=)
According to the question
Option A :
4.13 = 4.130
As we know the value of 0 after all the numbers and after the decimal is insignificant,
So , 4.13 = 4.130
This is correct comparison.
Option B :
5.16<5.06
Bigger number can’t be less than the smaller number, comparison is wrong.
Option C :
6.28<6.08
Bigger number can’t be less than the smaller number, comparison is wrong.
Option D:
7.09>7.19
Smaller number can’t be greater than the bigger number, comparison is wrong.
Option A is correct
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Factor the expression: 1.5x + 6
Answer:
1.5(x+4) is the answer of this question.
I've managed to find the area of the shape I just need help stating the units of my answer
According to the given statement the area of the right angle triangle:
= 18 cm².
What is right angle triangle?A right triangle, sometimes known as a right-angled triangle, or perhaps more formally called an orthogonal triangle, formerly known as a rectangle triangle, is a triangle with one right angle or two perpendicular sides. Trigonometry is founded on the relationship between the sides and some other angles of a right triangle.
According to the given information:Given value
A = 6cm
B = 6cm
Using the right angle triangle area formula:
Area = (a*b)/2
= (6 *6)/2
= 18 cm²
According to the given statement the area of the right angle triangle:
= 18 cm²
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please help the question is in the image
Answer:
Blank 1: -5
Blank 2: -4
Blank 3:-4
Blank 4: 0
Blank 5: 1
Blank 6: -2
Blank 7: 0
Blank 8: -2
Step-by-step explanation:
Blank 1 and 2 were already done.
We can fill in the x value of A into blank 3, which makes it 0/2, or for blank 4: 0
We can fill in the y value of B into blank 5, which makes it -4/2, or for blank 6: -2
Then we can put the values from 4 and 6 together into 7 and 8, so 7 is 0 and 8 is -2. (0, -2)
Houston has approximately 2.25 million people. Each person has 2 hands and each hand has 5 fingers.
How many fingers are in Huston? Answer in scientific notation.
6n=3/5 (5n + 15) solve for n
Answer:
3
Step-by-step explanation:
6n = 3/5 x 5 (n+3)
6n = 3 (n+3)
6n = 3n + 9
6n - 3n = 9
3n = 9
=3
Answer:
6n=3/5(5n+15)
6n=3n+9
6n-3n=9
3n=9
3n/3=9/3
n=3
The environmental club is selling indoor herb gardens for $8 each for Earth Day. The goal is to raise at least $500 during the fundraiser. So far the club has raised $256 toward the goal. How many herb gardens must they sell in order to reach or exceed the $500 goal? Write and solve an inequality that models this situation, then enter the value the completes the statement "At least _______ herb gardens".
At least 16 more herb gardens must be sold in order to meet the fundraising goal
It is given that the environmental club is selling indoor herb gardens for $8 each for Earth Day.
The goal for the club is to raise at least $500 during the fundraiser.
So far the club has raised $256 toward the goal.
Let the number of herb gardens yet to be sold be 'x'
Thus total amount raised by 'x' herb garden sold= 8x
Thus, the equation for fundraising will be
8x+256=500
8x=500-256
8x=244
x= 244/8=31/2=15.5
Hence at least 16 more herb gardens must be sold in order to meet the fundraising goal
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Main Answer :16
Concept and definitions should be there:
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.
a ≠ b says that a is not equal to b
a < b says that a is less than b
a > b says that a is greater than b
(those two are known as strict inequality)
a ≤ b means that a is less than or equal to b
a ≥ b means that a is greater than or equal to b.
Given that:
It is given that the environmental club is selling indoor herb gardens for $8 each for Earth Day.
The goal for the club is to raise at least $500 during the fundraiser.
So far the club has raised $256 toward the goal.
Solving Part:
Let the number of herb gardens yet to be sold be 'x'
Thus total amount raised by 'x' herb garden sold= 8x
I can match an inequality to a situation it represents, solve it, and then explain what the solution means in the situation.
If I have a situation and an inequality that represents it, I can explain what the parts of the inequality mean in the situation.
We know that
$256≥ $500 → inequality that represent the situation
Thus, the equation for fundraising will be
8x+256=500
8x=500-256
8x=244
x= 244/8=31/2=15.5
Hence at least 16 more herb gardens must be sold in order to meet the fundraising goal.
Final Answer: 16
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wire 19 cm long is cut into two pieces. the longer piece is 3 cm longer than the shorter piece. find the length of the shorter piece of wire
The shorter piece of wire is 8 cm long when the total length of the wire is 19 cm long.
We are given that:
a wire's length is 19 cm.
We have to cut the wire into two pieces.
We are also given that the longer piece of wire is 3 cm longer than the shorter piece.
Let the shorter piece of wire be x cm
Longer piece = x + 3 cm.
So, the equation formed will be:
x + x + 3 cm = 19 m
2 x + 3 cm = 19 cm
2 x cm = 19 cm - 3 cm
2 x cm = 16 cm
x = 16 / 2 cm
x = 8 cm.
Therefore, the shorter piece of wire is 8 cm long.
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please help!! will mark branliest if correct!!!
[tex]increasing ( \infty \: to \: 1) and \: increasing(3 \: to \: 4) \\ \\ decreasing(1 \: to \: 3) \: and \: (4 \: to - \infty )[/tex]
Step-by-step explanation:
by increasing it means the gradient is positive, so coming positive infinity gradient is positive but once it reaches (1;0) it becomes 0 (=0). from (1;0) it starts to decrease approaching the asymptote of 3
What number makes the equation true? -5 + (Blank) = -7 1/3
Please hurry!
Answer:
Step-by-step explanation:
2 1/3 because I learned this exact question at school
find the 13th term in the following arithmetic sequence 2,18,18,26
The 13th term in the following arithmetic sequence 2,10,18,26 is 114
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values
Now the given sequence is,
2,10,18,26
So, common difference, d = 10 -2 = 8
and 1st term, a1 = 2
Thus, nth term of an arithmetic sequence is given as,
Tn = a1 + (n - 1)d
For 13th term put n = 13
⇒ T13 = 2 + (15 - 1)8
⇒ T13 = 2 + 14*8
⇒ T13 = 2 + 112
⇒ T13 = 114
Thus, the 13th term in the following arithmetic sequence 2,10,18,26 is 114
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The correct question is-
find the 13th term in the following arithmetic sequence 2,10,18,26.
решите уравнение 6x-4(x+5)=2,2
Answer:
x=11.1
Step-by-step explanation:
6x-4x-20=2.2
2x-20=2.2
2x=22.2
x=11.1
Miss Tyrrell catches the 9:45am bus from Leeds to London.
The distance between the two cities is 195 miles.
The bus travels at an average speed of 52 mph.
What time should she arrive in London?
Answer:
The time she would arrive in London is 1:20 pm
Step-by-step explanation:
Recall
Speed= Distance/Time
But we want to find the time taken, so:
We cross multiply:
Speed *Time = Distance
Make time the subject of formula
Time= Distance/Speed
195/52
= 3.75 hours
Therefore, 9:45 am + 3.75 hours
= 13.20 pm
Which is equivalent to 1:20 pm
Find the indicated segment.
(3x + 4) (x + 12)
Answer:
Step-by-step explanation:
i'm kinda bad at math but i think it's 9=9 or x+26. i'm not sure.try x+26 you can see if i'm incorrect or correct. i only gave you the 2 answer's i'm sure of well god bless :DSolve the system by elimination 2x - y = 1 and x - 2y = -1
Answer:
x = 1 and y = 1
Step-by-step explanation:
Let's solve your system by elimination.
2x − y = 1 and x − 2y = −1
Multiply the second equation by -2, then add the equations together.
(2x−y=1)
−2(x−2y=−1)
Becomes:
2x−y=1
−2x+4y=2
Add these equations to eliminate x:
3y=3
Then solve3y=3for y:
3y=3
3y3=33(Divide both sides by 3)
y=1
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
2x−y=1
Substitute1foryin2x−y=1:
2x−1=1
2x−1+1=1+1(Add 1 to both sides)
2x=2
2x2=22(Divide both sides by 2)
x=1
Answer:
x=1 and y=1
Answer:x=1, y=1 point (1,1)
Step-by-step explanation:
Pedro uses cardboard to make a model of a square pyramid. The edges of the base of the model are 5 in. long. The height of each triangular face is 4 in. What is the area of the cardboard in Pedro's model? Show your work.
The area of the cardboard in Pedro's model is 190 sq inches.
What is lateral and total surface area ?The only difference between lateral surface area and total surface area is in lateral surface area we only consider the side views and neglect the top and bottom on the other hand for total surface area we consider all sides.
As a sphere has no side it has only total surface area which is 4πr².
According to the given question Pedro uses cardboard to make a model of a square pyramid.
Also given that the edges of the of the model is 5 in. long and the height of the triangular face is 4 in.
As to make the base of the pyramid with is square we need to form a cube which has sides = height = 5 inches.
We know the total surface area of a cube is 6(side)² which is
= 6(5)² sq inches.
= 6(25) sq inches.
= 150 sq inches.
Now for the upper triangular part we need 4 triangles with height 4 inches and as the base of the cube is 5 inches therefore the base of the triangle will also be of 5 inches.
We know area of a triangles with given height and base is
= (1/2)×base×height.
So for four such triangles the area will be 4 times of this.
= 4[(1/2)×5×4] sq inches.
= 4[10] sq inches.
= 40 sq inches.
So, the total area of the square pyramid model will be (150 + 40) = 190 sq inches.
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