Given that,
AD is parallel to EC, BD is congruent to BC.
Solution,
Here,
[tex]\angle D=\angle C[/tex] = the reason for this is that the two angles are alternate interior angle. So, by alternate interior angle theorem [tex]\angle D=\angle C[/tex].
As [tex]\angle ABD=\angle EBC[/tex] = due to vertically opposite theorem
It means,
[tex]\triangle ABD \cong \triangle EBC[/tex] (angle-side-angle)
Hence, the correct option is (c).
Calculate the slope of the line that passes through (-10, 3) and (2, -3
Answer:
slope = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 10, 3 ) and (x₂, y₂ ) = (2, - 3 )
m = [tex]\frac{-3-3}{2-(-10)}[/tex] = [tex]\frac{-6}{2+10}[/tex] = [tex]\frac{-6}{12}[/tex] = - [tex]\frac{1}{2}[/tex]
I need help with this math please
Answer:
im answering for points
Step-by-step explanation:
sorry people who wanna answer
Is it true that the only nontrivial maximally planar regular graphs are the triangle, the tetrahedron, the octahedron, and the icosahedron?
No answer needed!
Answer:
. Have a goodnight.
An investment has probabilities 0.15, 0.34, 0.44, 0.67, 0.2 and 0.15 of giving returns equal to 50%,
39%, -4%, 20%, -25%, and 42%. What are the expected returns and the standard deviations of
returns?
The expected returns is 33.7% and the standard deviations of returns is 38.73%.
What is standard deviation?In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values.
Now given probabilities are,
probabilities P = 0.15, 0.34, 0.44, 0.67, 0.2 and 0.15
Given returns on the probabilities,
returns r = 50%, 39%, -4%, 20%, -25%, and 42%
So, Expected rate of returns = ∑Pr
⇒ Expected rate of returns = 0.15(50) + 0.34(39) + 0.44(-4) + 0.67(20) + 0.2(-25) + 0.15(42)
⇒ Expected rate of returns = 7.5 + 13.26 - 1.76 + 13.4 - 5 + 6.3
⇒ Expected rate of returns = 33.7%
Now standard deviation S is,
Square root of the difference squared between each value and the mean, multiplied by the probability.
S = √{0.15(50 - 33.7)² + 0.34(39 - 33.7)² + 0.44(-4 - 33.7)² + 0.67(20 - 33.7)² + 0.2(-25 - 33.7)² + 0.15(42 - 33.7)²}
⇒ S = √{0.15(16.3)² + 0.34(5.3)² + 0.44(-37.7)² + 0.67( - 13.7)² + 0.2(-58.7)² + 0.15(8.3)²}
⇒ S = √{0.15(265.69)+ 0.34(28.09) + 0.44(1421.29) + 0.67( - 187.69) + 0.2(3445.69)²\ + 0.15(68.89)}
⇒ S = √{39.85 + 9.55 + 625.36 + 125.75 + 689.13 + 10.33}
⇒ S = √{1499.97}
⇒ S = 38.73%
Thus, the expected returns is 33.7% and the standard deviations of returns is 38.73%.
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help!!!!
Which statement is correct when solving the expression 5y2 – 3y2?
Question 19 options:
Add the coefficients (5 + 3).
Subtract the exponents (2 – 2).
Add the exponents (2 + 2).
Subtract the coefficients (5 – 3).
Answer: Subtract coefficients (5-3)
Step-by-step explanation:
5y^2-3y^2= 2y^2
A company ships gift baskets that contain apples and pears the distributions of weight for the apples the pears and baskets are each approximately normal with mean and standard deviation for each distribution as shown in the table below the way to the items are assumed independent let the random variable W represent the total weight for apple six pairs in one basket which of the following is closest standard deviation of W
Answer:
1.97
Step-by-step explanation:
Following are the solution to the given points:
Assume A, P, and B is the masses of apples, pears, and basket, respectively.
[tex]\to W = 4A + 6P + B[/tex]
Calculating the mean of W:
[tex]\to \bold{W = E(W) }[/tex]
[tex]\bold{= E(4A + 6P + B)} \\\\ \bold{= 4E(A) + 6E(P) + E(B)}\\\\\bold{= 4 \times 4.72 + 6 \times 5.41 + 13.52} \\\\ \bold{= 18.88 + 32.46 + 13.52} \\\\ \bold{= 64.86 }[/tex]
Calculating the variance of W:
[tex]\to \bold{W=Var(W)}\\\\[/tex]
[tex]\bold{= Var(4A + 6P + B)}\\\\ \bold{= 42 Var(A) + 62 Var(P) + Var(B)}\\\\\bold{= 16 \times 0.22 + 36 \times 0.182 + 1.882}\\\\ \bold{= 3.52 + 6.552 + 1.882}\\\\ \bold{= 5.3408}[/tex]
Calculating the standard deviation of W:
[tex]\to \bold{W= \sqrt{5.3408}= 2.311017}[/tex]
The linear combination of Normal random variables is known to follow the normal distribution.
[tex]\to \bold{W \sim N(64.86 , 2.311017)}[/tex]
Calculating the Probability of the Total Weight is more difficult.[tex]\to \bold{67 = P(W > 67)}[/tex]
[tex]\bold{= P[ Z > \frac{(67 - 64.86)}{ 2.311017}]}\\\\\bold{= P[Z > 0.93]}\\\\\bold{= 0.1762}[/tex] (Using Standard Normal distribution)
Therefore, the final answer is "64.86, 2.311017, and 0.1762".
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A family wants to purchase a house that costs $110,000. They plan to take out a $100,000 mortgage on the house and put $10,000 as a down payment. The bank informs them that with a 15-year mortgage their monthly payment would be $761.52 and with a 30-year mortgage their monthly payment would be $574.01. Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage.
Answer:
you do 761.52 times 15.
then 574.01 times 30
which ever number is lowest is the one where you save more money. e.g IF the 15 times 761.52 is lower then the 30 times 574.01 then you take them away from each other.The answer to that is how much ur saving.
−4(m+3)=24
What does m=
Answer: m= -9
Step-by-step explanation: First use distributive property, -4(m) is -4m and -4(3) is -12. Then you have -4m -12 =24. Then use 12 and add it to the other side of the equation, cause of the subtraction sign, 12+24=36. Then you have -4m=36. Then divide the 4 to get the m by its self. 36 divided by -4 is -9. Your answer is m=-9
Hope this helps :)
Question
Simplify: (-12az2-22³)+(-2a³ +7a²z)-(-4a²z+8az²).
Step-by-step explanation:
if I take the expression as you wrote it literally, we have
(-12az2 - 22³) + (-2a³ + 7a²z) - (-4a²z + 8az²) =
= -24az - 10,648 - 2a³ + 7a²z + 4a²z - 8az² =
= -24az - 10,648 - 2a³ + 11a²z - 8az²
yet when I assume that there were several typos particularly in the first bracket, my guess about the real original expression is
(-12az² - 2a³) + (-2a³ + 7a²z) - (-4a²z + 8az²) =
= -12az² - 2a³ - 2a³ + 7a²z + 4a²z - 8az² =
= -20az² - 4a³ + 11a²z
Line AB goes through the points A (0,-4) and B (6,2). Which equation represents line AB?
Oy-4= 3x
Oy-2= 3( – 6)
Oy+4=x
Oy+6=x-2
Answer:
c, i just got it right on edge
Step-by-step explanation:
a varies directly as b, and a =4 when b=24 write an equation that relates a and b
Example 2
What is the point of intersection
of the two equations?
TE
-4=2y-x
-3 + 2x = - y
Show
Graphically
Answer:
I need points sorry wish I could help
I GIVE BRAINLILEST
//////////////////////////////////////
Answer:
answer is c makes sense because you just add 1.25 x 20
True or False: When
ordering numbers, you
always start by looking at the
smallest place value.
Answer:
True
Step-by-step explanation:
ight so lets say 3,4567
4 is the tenth 5 is the hundredth 6 is the thousandth and 7 is hundred thousandths
you first put the biggest number (4000) in the tenth place and you keep going up
Find the original price of a pair of shoes if the sale price is $168 after a 20% discount.
A. $210
B. $840
C. $93.20
D. $336
Answer:
A. 210
Step-by-step explanation:
Luca hired a plumber to fix his sink. She charged $95.50 per hour. If the job took 1.5 hours, how much did Luca owe the plumber?
Answer:
143.25
Step-by-step explanation:
First, you know that 95.50 is an hour well it's 1 hour and 30 minutes( because 1 is the hour and the 5 is half of ten so the 5 would equal 30) so 95.50 divided into 2 is 47.75 so 95.50+47.75=143.25
Answer: 143.25
Step-by-step explanation:
You have several purchases you need to purchase 1/2 lb of cheese, 3lbs sliced ham, 2 loaves of bread, 4 bags of potato chips, and 1 container of salsa. You have a coupon for $4.00 off of your purchase totals more than $15.00 or %10 off if the total is more than $20.00. The food sales tax is 3%. What is your total purchase?
Cheese:$1.99/lb
Sliced ham:$3.29/lb
Bread:$1.59/loaf
Potato chips:$1.99/ea Or 2 for $3.00
Salsa:$1.39/container
Be sure to include in your response.
The steps you followed to complete your computations.
The choice you made regarding which discount to use.
The total cost of your purchase.
The total purchase is $18.90.
What is the total purchase?A discount would reduce the cost of the purchase. A tax increases the cost of the purchase.
The first step is to determine the total cost of the items purchased.
Total cost = (cost of lb of cheese x lb bought) + (cost of sliced ham x lbs bought) + (cost of bread x loaves bought) + (cost of a bag of potato chips x number of bags bought) + (cost of one salsa container x number of containers bought)
(1.99 x 1/2) + (3 x 3.29) + (1.59 x 2) + (2 x $3) + (1.39 x 1) = $20.39
Since, the total cost is greater than $20 she qualifies for the 10% discount
Total cost after the discount = (1 - 0.1) x $20.39
0.9 x $20.39= $18.35
Cost after the tax = (1 + 0.03) x $18.35
1.03 x $18.35 = $18.90
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Which of the following is a nonlinear function?
A.
Input 1 2 3 4 5
Output 4 8 12 16 20
B.
Input 1 2 3 4 5
Output 4 10 16 22 28
C.
Input 1 2 3 4 5
Output 4 12 20 28 36
D.
Input 1 2 3 4 5
Output 4 16 64 256 1,024
B. Input 1 2 3 4 5 Output 4 10 16 22 28
C. Input 1 2 3 4 5 Output 4 12 20 28 36
D. Input 1 2 3 4 5 Output 4 16 64 256 1,024
are non -linear functions
What are non - linear functions ?
A function whose graph is not a line or part of a line. • Example: – As you inflate a balloon, its volume increases. The table below shows the increase in volume of a round balloon as its radius changes.
We look at different types of nonlinear functions, including quadratic functions, polynomials and rational, exponential and logarithmic functions, as well as some applications such as growth and decay and financial functions.
A.
Input 1 2 3 4 5
Output 4 8 12 16 20
Since , all varies as output = 4* input , it is a linear function
B.
Input 1 2 3 4 5
Output 4 10 16 22 28
Since , no relation therefore it is non -linear
C.
Input 1 2 3 4 5
Output 4 12 20 28 36
Since , no relation therefore it is non -linear
D.
Input 1 2 3 4 5
Output 4 16 64 256 1,024
Since , no relation therefore it is non -linear
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HELP ME PLEASE U WILL GET BRAINLIEST
Answer:
B
Step-by-step explanation:
the biggest one is B
Hope this helps plz hit the crown ;D
FInd f(-4) for the function f(n)=3/4n-5. show work
Answer:
f(-4) = -8
Step-by-step explanation:
Okay fo if f(n) is f(-4), then n = -4.
f(-4) = 3/4n - 5
f(-4) = 3/4 (-4) -5
f(-4) = -3 - 5
f(-4) = -8
Hope this helps and I hope u have an Amazing day!!
3 over 2 of 24 bananas=
Answer: 36 bananas
Step-by-step explanation: find 1/2 of 24 which is 12. Then, add that with 24.
This morning, Dakota took a history test. She got 17 out of 34 problems right. What percentage did Dakota get right?
In a newspaper, it was reported that the number of yearly robberies in Springfield in
2011 was 64, and then went down by 50% in 2012. How many robberies were there in
Springfield in 2012?
HELP
Answer:
32 robberies
Step-by-step explanation:
To find the amount here, divide 64 by 2 (or multiply by 1/2).
64 / 2
How many times does 2 go into 6? (3)
3-
4 / 2
How many times does 2 go into 4? (2)
32 robberies
What is |9|?
-18
-9
9
18
Answer:
the true answer is 9
Step-by-step explanation:
Because the product of the absolute value is the same number and positive
Which two statements are both true?
Answer:
(b) FG⊥HB and FG║DE
Step-by-step explanation:
You want to know two statements that correctly describe the diagram where HB crosses lines FG, DE, and AC.
PerpendicularLine HB is indicated as being perpendicular to lines FG and DE by the small square in the corner where the lines cross. It is true that ...
FG⊥HB
ParallelLines FG and DE are both perpendicular to line HB. LInes in a plane that are perpendicular to the same line are parallel to each other. It is true that ...
FG║DE
Suppose that the probability that it rains on Friday is 80% and the probability that it rains on Saturday is 70%, and the event that it rains on Friday is independent of the event that it rains on Saturday. Find the probability that it DOES NOT RAIN on Friday and it DOES NOT RAIN on Saturday.
A sample of five scores was taken. They were 82, 73, 61, 97, and 83. Find the SAMPLE standard deviation of the scores. (Round to 2 decimal places).
The scores on a nationwide are normally distributed with a mean of 120 and a standard deviation of 20. Find the probability that a randomly selected test-taker scored less than 105. (Round to 4 decimal places)
Answer:
0.06 (6%)
13.31
0.2266
Step-by-step explanation:
1)
Given that :
Probability that it rains on Friday ; P(FR) = 0.8
Probability that it rains on Saturday ; P(SR) = 0.7
P(FR) and P(SR) are independent events
Probability that it does not rain on Friday ; P(FR)' = 1 - P(FR) = 1 - 0.8 = 0.2
Probability that it does not rain on Saturday ; P(SR)' = 1 - P(SR) = 1 - 0.7 = 0.3
Hence, probability that it does not rain on Friday and on Saturday ;
P(FR)' * P(SR)' = 0.2 * 0.3 = 0.06 = 0.06 * 100% = 6%
2)
Given the scores :
82, 73, 61, 97, 83 ;
The sample standard deviation :
Sqrt(Σ(X - m)^2 ÷ n - 1)
n = sample size = 5
m = mean = ΣX / n
m = (82 + 73 + 61 + 97 + 83) / 5 = 79.2
Sqrt((82 - 79.2)^2 + (73 - 79.2)^2 + (61 - 79.2)^2 + (97 - 79.2)^2 + (83 - 79.2)^2) / (5 - 1)
Sqrt(177.2) = 13.311649
Hence, standard deviation = 13.31
3.)
Given that :
Mean(m) = 120
Standard deviation (s) = 20
Probability that randomly taken test taker scores less than 105
P(x < 105)
Obtain the standardized score :
Z = (x - m) / s
Z = (105 - 120) / 20
Z = - 15 / 20
Z = - 0.75
P(Z < - 0.75) = 0.22663 (Z probability calculator)
= 0.2266
Catherine and Joseph together bought a play station for $16.4. If Joseph contributed $7.8, determine the amount contributed by Catherine.
Answer she contributed 8.6
0.38+0.4+0.42+0.44+0.46+0.48+0.5+0.52+0.54+0.56+0.58+0.6+0.62=
Answer:
3.58
Step-by-step explanation:
hope this helps
Answer:
6.5
Step-by-step explanation:
0.38+0.4=0.78
0.78+0.42=1.2
1.2+0.44=1.64
1.64+0.46=2.1
2.1+0.48=2.58
2.58+0.5=3.08
3.08+5.2=3.6
3.6+0.54=4.14
4.14+0.56=4.7
4.7+0.58=5.28
5.28+0.6= 5.88
5.88+0.62=6.5
A ________ function specifies the relationship between the demand for a product LaTeX: x and the price of the product LaTeX: p.
Answer:
Price demand function
Step-by-step explanation:
The price demand function is the function in which there is a relationship between the demand and the price of the product
The Price demand function is
[tex]= Price \times demand[/tex]
[tex]= p \times x[/tex]
hence, the price demand function represents that there is a relationship that lies between the demand and the price
What type of angle is a 31° angle?
A acute angle
obtuse angle
C right angle
Answer:
an acute an angle
Step-by-step explanation:
the angel of 31 is smaller than 90 so that would make it an acute angle
A 31° angle is an acute angle because it measures less than 90 degrees.
What are Angles?An angle is formed when two straight lines or rays meet at a common endpoint.
We know that a right angle is always equal to 90 degrees.
Any angle less than 90 degrees is an acute angle
Any angle greater than 90 degrees is an obtuse angle.
A 31° angle is an acute angle because it measures less than 90 degrees. An acute angle is any angle that measures between 0 and 90 degrees.
Hence, A 31° angle is an acute angle because it measures less than 90 degrees.
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