On solving the provided question, we can say that unlike other shapes, which all have parallel lines, only has one parallel side.
what is parallel lines?Parallel lines in geometry are coplanar infinite lines that don't intersect anywhere. In a given three-dimensional space, parallel planes are those that never cross. Curves with a constant minimum distance between them and no points of contact or intersection are said to be parallel. Two lines that are in the same plane, equally spaced apart, and never intersect are referred to as parallel lines in geometry. Either horizontal or vertical can apply. Parallel lines can be noticed in everyday objects like railroad tracks, rows of notebooks, and pedestrian crossings.
unlike other shapes, which all have parallel sides, only has one parallel side.
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Solve for 'x' Side Splitter Theorem
Answer:
x = 10
Step-by-step explanation:
The segment parallel to the third side of the triangle and intersecting the other 2 sides, divides those sides proportionally, that is
\(\frac{2x-5}{10}\) = \(\frac{28-8}{8}\) = \(\frac{20}{8}\) ( cross- multiply )
8(3x - 5) = 200 ← distribute left side
24x - 40 = 200 ( add 40 to both sides )
24x = 240 ( divide both sides by 24 )
x = 10
10. The probability of buying pizza for dinner is 34% and the probability of buying
a new car is 15%. The probability of buying a new car given that you eat pizza for
dinner is 42%. What is the probability of eating pizza for dinner given that they
buy a new car?
Answer:
The probability of eating pizza given that a new car is bought is 0.952
Step-by-step explanation:
This kind of problem can be solved using Baye’s theorem of conditional probability.
Let A be the event of eating pizza( same as buying pizza)
while B is the event of buying a new car
P(A) = 34% = 0.34
P(B) = 15% = 15/100 = 0.15
P(B|A) = 42% = 0.42
P(B|A) = P(BnA)/P(A)
0.42 = P(BnA)/0.34
P(B n A) = 0.34 * 0.42 = 0.1428
Now, we want to calculate P(A|B)
Mathematically;
P(A|B = P(A n B)/P(B)
Kindly know that P(A n B) = P(B n A) = 0.1428
So P(A|B) = 0.1428/0.15
P(A|B) = 0.952
a characteristic, usually a numerical value, which describes a sample is called a _______. a. parameter b. statistic C. constant d. variable
Answer: B. statistic
Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.
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What is the area of the trapezoid?
33 in2
52.5 in2
82.5 in2
91 in2
Answer:
91 in2
Step-by-step explanation:
11+15 over 2 , times by 7 equals 91 ??
Chris wants to order DVDs over the internet. Each DVD costs $15.99 and shipping the entire order costs $9.99. If he can spend no more than $100, how many DVD's could he buy?
Answer:
Step-by-step explanation:
\(15.99d+9.99\le 100\\ \\ 15.99d\le 90.01\\ \\ d\le 5.6\\ \\ \text{So he can purchase at most 5 dvds.}\)
How many solutions does the equation 3x – 2x + 4 = 2 + x + 2 have?
A two solutions
B. infinitely many solutions
O
C. no solution
D. one solution
Hiro ran 5 1/8 miles each day for a week how far did he run in all?
Answer: 35 7/8 miles
Step-by-step explanation:
5*7 + 1/8*7 = 35 7/8 miles
Given a normal distribution with μ-50 and σ= 4, and given you select a sample of n = 100, complete parts (a) through (d) a. What is the probability that X is less than 492 P(X-49)- (Type an integer or decimal rounded to four decimal places as needed) b. What is the probability that X is between 49 and 50.5? P(49 50.9)- (Type an integer or decimal rounded to four decimal places as needed) d. There is a 40% chance that X is above what value? Type an integer or decimal rounded to two decimal places as needed) Enter your answer in each of the answer boxes
The answer to the following question is 1,0.1443, -0.2533 and 49.99.
To calculate we procced in following manner:
a. First, we need to standardize the value of 492 using the formula z = (X - μ) / σ. Substituting the given values, we get z = (492 - 50) / 4 = 110.5. Using a standard normal table or calculator, the probability of a z-score less than 110.5 is essentially 1, so P(X < 492) ≈ 1.
b. Following the same process, we standardize the values of 49 and 50.5 to get z-scores of (49 - 50) / 4 = -0.25 and (50.5 - 50) / 4 = 0.125. Using a standard normal table or calculator, the probability of a z-score between -0.25 and 0.125 is approximately 0.1443, so P(49 < X < 50.5) ≈ 0.1443.
c. To find the value of X such that there is a 40% chance that X is above that value, we need to find the z-score such that the area to the right of it is 0.4. Using a standard normal table or calculator, we find that the z-score is approximately -0.2533.
Standardizing this value using the formula z = (X - μ) / σ and solving for X, we get X = σz + μ = 4(-0.2533) + 50 = 49.9868. Therefore, there is a 40% chance that X is above 49.99 (rounded to two decimal places).
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give me an example of an irrational number that is greater than 10
To find:
An irrational number that is greater than 10.
Solution:
Irritation number: It cannot be expression in the form of \(\dfrac{p}{q}\), where, \(q\neq 0, p,q\) are integers.
For example: \(\sqrt{2}\sqrt{3},\pi, 1.263689...,etc.\).
We know that square of 10 is 100. So, square root of any prime number is an example of an irrational number that is greater than 10.
First prime number after 100 is 101.
Required irrational number \(=\sqrt{101}\)
Therefore, \(\sqrt{101}\) is an irrational number that is greater than 10.
Is this complementary, supplementary or neither? Pleasee helppp
this is area right???
Answer:
Yes
Step-by-step explanation:
So permiter is two*lengths plus 2*width of a shape.
Area is the length times the width.
For examplel if a square has a length of 2, and a width of 3 the permiteter is:
2*2+3*3=
4+9
=
13
On the other hand, area would be:
2*3
=
6
I hope this helps!
If 12 cups of pineapple juice are used with 20 cups of orange juice, will the recipe taste the same?
Explain your reasoning,
Answer:
No, It will not taste the same
Step-by-step explanation:
12 cups of pineapple juice should be mixed with 15 cups of Orange juice
Use the formula for instantaneous rate of change, approximating the limit by using smaller and smaller values of h, to find the instantaneous rate of change for the given function at the given value f(x)=3xx x=3 The instantaneous rate of change for the function at x 3 is 7.3450 (Do not round unst the final answer. Then round to four decirtendat You answered: 1.2295
The instantaneous rate of change for the function f(x) = \(3x^2\) at x = 3 is approximately 18.03.
To find the instantaneous rate of change for the function \(f(x) = 3x^2\) at x = 3, we can use the formula for the derivative, which represents the instantaneous rate of change.
The derivative of f(x) with respect to x is given by:
f'(x) = lim(h→0) [f(x + h) - f(x)] / h
To approximate this limit by using smaller and smaller values of h, we can calculate the average rate of change for smaller intervals around x = 3.
Let's choose some values of h and calculate the average rate of change for each value:
For h = 1:
f'(3) ≈ [f(3 + 1) - f(3)] / 1
= [f(4) - f(3)] / 1
= \([3(4)^2 - 3(3)^2] / 1\)
= [3(16) - 3(9)] / 1
= [48 - 27] / 1
= 21 / 1
= 21
For h = 0.1:
f'(3) ≈ [f(3 + 0.1) - f(3)] / 0.1
= [f(3.1) - f(3)] / 0.1
= \([3(3.1)^2 - 3(3)^2] / 0.1\)
= [3(9.61) - 3(9)] / 0.1
= [28.83 - 27] / 0.1
= 1.83 / 0.1
= 18.3
For h = 0.01:
f'(3) ≈ [f(3 + 0.01) - f(3)] / 0.01
= [f(3.01) - f(3)] / 0.01
= \([3(3.01)^2 - 3(3)^2] / 0.01\)
= [3(9.0601) - 3(9)] / 0.01
= [27.1803 - 27] / 0.01
= 0.1803 / 0.01
= 18.03
As we decrease the value of h, we can see that the average rate of change approaches a certain value. This value represents the instantaneous rate of change at x = 3.
Therefore, the instantaneous rate of change for the function f(x) = \(3x^2\) at x = 3 is approximately 18.03.
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What is the equation of the line that passes through the point (-1,6) and has a y-intercept of -5
well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two
\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)
M is the midpoint of AB. If the coordinates of point A are (7,4) and the coordinates of B are (1,2), what are the cooridnates of M?
Answer:
M(4, 3 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )
Here (x₁, y₁ ) = A(7, 4) and (x₂, y₂ ) = B(1, 2) , thus
M = (\(\frac{7+1}{2}\), \(\frac{4+2}{2}\) ) = ( \(\frac{8}{2}\), \(\frac{6}{2}\) ) = (4, 3 )
The 4-It wall shown here slands 28 ft from the building. Find the length of the shortest straight bearn that will reach to the side of the building from the ground outside the wall. Bcom 2 Building 1'
The length of the shortest straight is approximately 28.01 ft.
What is the right triangle?
A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".
To find the length of the shortest straight beam,we can use the Pythagorean theorem.
Let's denote the length of the beam as L and a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.
Using the Pythagorean theorem,
\(L^2 = (28 ft)^2 + (1 ft)^2\)
Simplifying the equation:
\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)
\(L = \sqrt{785}ft\)
Calculating the value of L:
L ≈ 28.01 ft
Therefore, the length of the shortest straight beam is approximately 28.01 ft.
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solve х2 - x - 12 = 0
Step-by-step explanation:
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
2 − − 12 = 0
= 1
= -1
= − 12
= −( −1) ± √ ( −1)2 − 4⋅1 ( −12)
2.1
Aline has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is
(0,6) & (3,0)
m = (y2-y1)/(x2-x1)
m = (0-6)/(3-0)
m = -6/3
m = -2
Substitute the values in y = mx + c
0 = -2(6) + c
c = 12
Thus, the equation is y = -2x + 12
Answer:
y=2x-6
Step-by-step explanation:
You can plug this into the slope formula, x-intercept of 3 would be (3,0)
and y intercept of -6 would be (0,-6).
Find the slope using the slope formula. The slope is 2
We are given a y-intercept of -6
therefore, the answer is y=2x-6
Help please I don’t understand
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
since we know the angle and the Hyp, and want to find the opp, use
SOH
Sin(41) = Opp / 111
111*Sin(41) = Opp
72.82255... = Opp
x = 72.8 ( rounded to nearest 10th )
ask if you want more explanation. :)
Mickey used these calculations to find how much he would spend on 7 cartons of eggs, if 12 cartons of eggs cost $22.20. Describe his error.
12 cartons(+22.20)
--------------------------
$22.22(+22.20)
Unit price = $0.54 50.54(7) = $3.78
Answer:Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs
Step-by-step explanation:
Answer:
Sample student response: Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.
Step-by-step explanation:
Brandon has 50 pears and 90 apples. Grug has 8329 times as many as 1/100th of the number of pears AND apples. how many pears of apples does Grug have?
Real estate license candidates who score a 75 or better on the examination leave the test center with ______.
Real estate license candidates who score 75 or better on the examination leave the test center with their passing results or a certificate.
In order to obtain a real estate license, candidates must pass a state-administered exam that tests their knowledge of real estate principles, practices, and laws. The examination includes questions on a wide range of topics, including property ownership, financing, contracts, agency, property management, appraisal, and more.
If candidates obtain a passing score, that is 75 or higher, then they will leave the testing center with their results. Then, they will be granted a certificate that shows they have passed the examination. With this certificate, the candidate will apply for a real estate license through their state's regulatory body.
Once they receive their license, they can start working in the real estate industry as licensed agents, brokers, or other related professionals.
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-0.375 as a simplified fraction
Answer:
-3/8
Step-by-step explanation:
You can enter this into a calculator and have it to display the fraction, but if you need the math, see image below.
Answer:
−3/8
Step-by-step explanation:
-0.375
Rewrite the decimal number as a fraction with 1 in the denominator.
0.375=0.375/1
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000.
0.375/1×1000/1000=375/1000
Find the Greatest Common Factor (GCF) of 375 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 125.
375/1000÷125/125=3/8
Therefore...
-0.375=−3/8
Hope this helps :)
7. How much orange juice will it in a can with a radius of 2 inches and a heigh of 6 inches?
Answer:
Vol = 75.36 in^3
Step-by-step explanation:
A can is a cylinder. The volume of a cylinder is:
V = pi•r^2•h
Your radius is 2 inches. And height given is 6 inches.
V = pi•2^2 •6
V = (3.14)4(6)
V ~= 75.36 cubic inches
If you need a different unit like ml or oz. please comment, will edit.
Hope this helps!
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A survey asked 100 adults about car ownership and ride-sharing apps. Of the 38 people without a car, 29 have ride-sharing app on their phone. A total of 47 people have a ride-sharing app on their phone.
What percentage of people surveyed who own a car have a ride-sharing app on their phone? Round to the nearest whole percent.
Enter the correct answer in the box.
Answer:
it should be 18%
Step-by-step explanation:
g(x) = 5x? – 9x - 7x + 12) What is the degree of the following polynomial?
Leading coefficient means the number that goes multiplicating the bigger exponent ,in this case is -9 because -9 multiplies x^3
Leading coefficient is the bigger exponent in a polynomial. In this case is 3 ,because -9x^3 is the biggest number in exponent.
So finally is a third degree equation.
if the base of a rectangle is 12cm and the area is 345 cm², what is the height of the rectangle
Answer: 28.75 cm
Step-by-step explanation:
Using the formula for the area of a rectangle, we can plug in our known values and solve for the height.
A = B * H
(345 cm²) = (12cm) * H
28.75 cm = H
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slope=-2 and it passes through the point (5,6)
Answer:
Step-by-step explanation:
y = mx + b where: m= the slope = -5/6
1 ∙y=mx+b.
2 here m=5.
3 ⇒y=5x+b←is the partial equation.
4 9=5+b⇒b=9−5=4.
5 ⇒y=5x+4←is the equation of the line
How to Find the Equation of a Line from Two Points
Find the slope using the slope formula. ...
Use the slope and one of the points to solve for the y-intercept (b). ...
Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
sos will give brainleiset thank you
Answer:
Both C and D are similar
Step-by-step explanation:
The are similar because each of the sides are proportional to each other. On letter C the scale factor of each side is 1.2. To get from the first triangle to the second, they multiplied each side by 1.2 and ended up with a slightly larger triangle. The same thing happens on the second one except for it is slightly smaller with a scale factor of 1/2.
Which equation has the same solution as
x2+4x-13=-7
Answer:
6x - 3 + 4x = 13
10x - 3 = 13
10x = 16
x = 1.6
Any equation whose solution is x=1.6 has the same solution as this one has.
Step-by-step explanation: