Answer:
4r-3
Step-by-step explanation:
3 fewer means subtracting 3 and 4 represents the r
Find the slope of the line passing through the points (8,-8) and (4, -2).
Answer:
-6/4
Step-by-step explanation:
m=y2-y1/x2-x1
m=-2--8/4-8=6/-4
-6/4
Answer:
The answer m= -3/2 , hope this helps you.
How many reflection symmetries does a twelve-pointed star have? How many rotational symmetries does a twelve-pointed star have?
Answer: 12 symmetries
Step-by-step explanation:
just draw the lines on the star.
Mike is a veterinarian. He is placing a nine-line job ad for an assistant.
The following piecewise function gives the price of an x-line ad.
The solution to the piecewise problem given are :
Difference in cost of 2 and 3 line ad is 0Cost of 10-line ad = $108Cost of 11 - line ad = $117From the piecewice function given :
x = number of lines in ad
The cost of ad when x ≤ 3 is 45
Hence, the cost of a 2 and 3 line ad is 45, Therefore, the difference is 0 ;
The cost of a 10 - line ad ;
x = 10
Cost = 45 + 9(x - 3)
Cost = 45 + 9(10 - 3)
Cost = 45 + 9(7)
Cost = 45 + 63 = 108
The cost of a 11 - line ad ;
x = 11
Cost = 45 + 9(x - 3)
Cost = 45 + 9(11 - 3)
Cost = 45 + 9(8)
Cost = 45 + 72 = 117
Hence, the solution to the piecewise related questions.
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Question 2(Multiple Choice Worth 2 points)
(Slope-Intercept Form MC)
The table shown represents a linear relationship.
x 0 1 3 4
y −8 −6 −2 0
Based on the table, what is the equation of the linear relationship in slope-intercept form?
y = 2x − 8
y = 2x + 8
y = −2x + 4
y = −2x − 4
The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.
To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.
By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).
Slope (m) = (change in y) / (change in x)
= (0 - (-8)) / (4 - 0)
= 8 / 4
= 2
Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.
Using the point (0, -8):
-8 = 2(0) + b
b = -8
Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.
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The simplest fraction from of 0.0115 is
Answer:
23/2000
Step-by-step explanation:
1.15%=0.0115=115/10000
simplified
23/2000
If you toss five fair coins, in how many ways can you obtain at least one head?
Select one:
a. 15
О
b. 31
O
c. 16
d. 32
Answer:
31
Step-by-step explanation:
Plz mark brainliest :D
two observers, Anna and Bryan. sight a kite at angles 44 degrees and 66 degrees. respictively. if anna is located 20m from the kite. how far is anna from bryan?
Answer:
28.6m
Step-by-step explanation:
this question is very incomplete. it requires a number of assumptions to give an answer. the main one - where is Bryan located relative to Anna ? I assume diametrically on the opposite side of the kite. because he has the steeper angle, it is clear that he is nearer to the kite.
so, I guess, we have to add his distance to the kite to her distance to the kite to get the distance between her and him.
but he could be on any point on a circle around the kite to have the same viewing angle, and we would have no clue about where on that circle.
as the other extreme alternative, he could be on the same line to the kite as Anna. and then we would have to subtract his distance from her distance.
but again, we assume he is exactly on the other side of the kite.
anyway, each person creates a right-angled triangle with the kite:
there is the direct line of sight as the base line or Hypotenuse (c).
there is the line on the ground from the person to the point on the ground directly under the kite as one side.
there is the line representing the height of the kite above ground as the other side. we let this start at the height of the eyes of the watching person.
and we assume that both persons are of the same height (so the height of the kite relative to their eyes is the same for both).
let's start with Anna.
the side a of Anna's triangle is
a = 20m
angle between a and c = 44 degrees
we know the angle between a and b is 90 degrees.
therefore the angle between b and c = 180-90-44 = 46 degrees.
now we use the law of sines :
a/sin(bc) = b/sin(ac) = c/sin(ab)
we know sin(ab) = sin(90) = 1
20/sin(46) = b/sin(44)
b = 20×sin(44)/sin(46) = 19.31... m = height of the kite
now to Bryan.
now we know his b (height of the kite) = 19.32... m
his angle between a and c is 66 degrees.
his angle between a and b is also 90 degrees.
therefore his angle between b and c = 180-90-66 = 24 degrees.
19.31/sin(66) = a/sin(24)
a = 19.31×sin(24)/sin(66) = 8.6 m
based on our assumption that they are standing opposite from each other in relation to the kite their distance is
20 + 8.6 = 28.6m
Jakes phone will play music for 12 hours on a full charge . He has been using it for 3 hours . What percent of a full charge is left over ?
Answer:
75%
Step-by-step explanation:
3/12 =1/4
so 1/4 of 100% = 75%
i think 75%
12=100%
3/12=1/4
1/4 of 100%=75%
32 1/2 m to feet round answer to the nearest thousandth
Answer:
106.62729675 ft
Step-by-step explanation:
1 meter = 3.2808399 feet
32.5 * 3.2808399 = 106.62729675 ft
What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?
Question 5 options:
A)
||
B)
≅
C)
≅
D)
∠F ≅ ∠H
The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is
EJ ≅ GJ. Option A
How to prove the statementWe need to know the properties of a parallelogram, we have;
Opposite sides are parallel.Opposite sides are congruent.Opposite angles are congruent.Same-Side interior angles (consecutive angles) are supplementary.We know that FJ ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.
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The complete question:
What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?
A)
ej ≅ gj
B)
ej || gj
C)
fg || eh
D)
ef ≅ hg
Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Boys
Girls
Total
Play a sport
114
63
177
Do not play a
sport
61
67
128
Total
B. No, they are not independent, because P(girl) = 0.46 and
P(girl | plays a sport) = 0.36.
175
150
Are being a girl and playing a sport independent events? Why or why not?
D. No, they are not independent, because P(girl) = 0.46 and
P(girl | plays a sport) = 0.54.
325
A. Yes, they are independent, because P(girl)≈ 0.46 and P(girl | plays
a sport)≈ 0.36.
OC. Yes, they are independent, because P(girl) ≈ 0.46 and P(girl | plays
a sport) = 0.54.
The answer is D. No, they are not independent, because P(girl) = 0.46 and P(girl | plays a sport) = 0.54.
What is independent event ?
In probability theory, two events A and B are said to be independent if the occurrence of one event does not affect the probability of the occurrence of the other event. That is, the probability of A occurring does not change based on whether B occurs or not, and vice versa.
Mathematically, two events A and B are independent if and only if the probability of their joint occurrence is the product of their individual probabilities:
P(A and B) = P(A) x P(B)
If this equation holds true, then we can say that A and B are independent events. Otherwise, they are dependent events.
According to the question:
The answer is D. No, they are not independent, because P(girl) = 0.46 and P(girl | plays a sport) = 0.54.
Two events A and B are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. In this case, we want to know if being a girl and playing a sport are independent events.
We are given that P(girl) = 0.46, which means that 46% of the students surveyed are girls. We are also given that P(girl | plays a sport) = 0.54, which means that 54% of the students who play a sport are girls.
If being a girl and playing a sport were independent events, then we would expect P(girl | plays a sport) to be equal to P(girl). However, we see that P(girl | plays a sport) = 0.54, which is different from P(girl) = 0.46.
This means that the probability of a student playing a sport is dependent on their gender. Therefore, being a girl and playing a sport are not independent events.
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Convert 15°F to Celsius.
a. -9.4°C
b. 9.4°C
c. - 59°C
d. 59°C
Answer:
-9.4 degree Celsius
Step-by-step explanation:
By using the formula = 15F - 32 × 5/9
= -9.4 degree Celsius
Casey rolls a fair number cube twice. If she rolls the same number twice in a row, then she gets to roll again. If she rolls a six on the third roll, she wins. How many outcomes are in the sample space that shows Casey wins
There are 6 such paths, so there are 6 outcomes in the sample space that show Casey winning.
We can use a tree diagram to visualize the different outcomes of Casey's rolls:
Each branch of the tree represents one roll of the number cube.
The first two rolls are independent and equally likely to be any of the six numbers.
If the first two rolls are the same number, then Casey gets to roll again. If the third roll is a 6, she wins.
We can count the number of outcomes in the sample space that show Casey winning by counting the number of paths in the tree that lead to a 6 on the third roll.
These are:
1-1-6
2-2-6
3-3-6
4-4-6
5-5-6
6-6 (rolls again)-6
Therefore, the answer is 6.
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Giải bài toán qui hoạch tuyến tính:
f(x) = 2x1 − 2x2 + x3 (Max)
x1 + 2x2 ≤ 3
2x1 − 3x2 + x3 ≤ 2
x1, x2, x3 ≥ 0.
i now the answer and the answer is o
Fidgets cost $3 each and Pop Its cost $4 each. If you buy a total of 20 Fidgets and Pop
Its for $75, which system of equations could you use to determine how many of each
you bought? Let x represent the number of fidgets you bought and y represent the
number of pop its you bought.
The number of fidgets and pop bought was 15 each
How to determine the equationFrom the information given, we have that;
1 fidget costs $3
1 Pop cost $4
Let the number of Fidgets be x
Let the number of Pop be y
Then, we have that a total of 20 fidgets and Pop cots $75
We have that;
20x + y = 75
Now, substitute the value of x as 3, we get;
20(3) + y= 75
expand the bracket
y = 75 - 60
y = 15
The number of fidgets is expressed as;
20x/4 = 20(3) /4 = 15
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A test is made of H subscript 0 colon space mu space equals space 43 space space v e r s u s space space H subscript 1 colon space mu space greater than space 43. A sample of size n equals 76 is drawn, and the sample mean is 47. The population standard deviation is 25. Compute the value of the test statistic and determine if the H subscript 0 is rejected at the alpha equals 0.05 level.
Answer:
The calculated value Z = 1.39 <1.96 at 0.05 level of significance
The null hypothesis is accepted
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 43
Given that the mean of the sample = 47
Given that the standard deviation of the Population = 25
Given that the sample size 'n' = 76
Step(ii):-
Null hypothesis:H₀: μ = 43
Alternative Hypothesis: H₁: μ ≠ 43
Test statistic
\(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)
\(Z = \frac{47-43 }{\frac{25}{\sqrt{76} } }\)
Z = 1.39
Level of significance = 0.05
The critical value = 1.96
Final answer:-
The calculated value Z = 1.39 <1.96 at 0.05 level of significance
The null hypothesis is accepted
Please only answer if u actually know pls!
At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.
To find the total revenue at each price, we can multiply the price by the corresponding quantity.
Price Quantity Total Revenue
$6 0 $0
$5 1 $5
$4 2 $8
$3 3 $9
$2 4 $8
$1 5 $5
To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.
In this case, the highest total revenue is $9, which occurs when the price is $3.
At a price of $3, the company will sell 3 units (as indicated in the Quantity column).
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An auto maker is interested in information about how long transmissions last. A sample of transmissions are run constantly and the number of miles before the transmission fails is recorded. The auto maker claims that the transmissions can run constantly for over 150,000 miles before failure. The results of the sample are given below.
1) From Given output confidence level, is 95% level of significance = 1-0.95
10.05
How to calculate the value2) null hypothesis : M = 150000
=
3) Alternative hypothesis Ha: [M> 150000]
4) since P value = 0.033 is less than d=0.05 Reject null hypothesis.
5) There is sufficient evidence to conclude that the mean life of transmissions is over 1500 comity
6) 95% CI = â ± E
-1519±1.129
=(151.2-1.129, 151.2+1.129)
=(150.071, 152.329)
7) Since M=150 fall out side of the C. We Shoul retect null hypothesis.
8) The null hypothesis value fall outside of the Confidence Interval.
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What the meaning of "a sequence of length n"?
In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.
What the meaning of "a sequence of length n"?The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."
When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.
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Zander downloads a combination of 30 games and songs he downloads 8 to more songs than games. The equation g+(8+g)=30 equals 30 can be solved to determine see the number of games and purchased how many games and songs did Zender download
Answer:
Step-by-step explanation:
8times 45
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The number of games is 11.
The number of songs is 19.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of games downloaded = g
Number of songs downloaded = g + 8
Total number of songs and games downloaded = 30
Now,
g + (g + 8) = 30
g + g + 8 = 30
2g + 8 = 30
Subtract 8 on both sides.
2g = 30 - 8
2g = 22
Divide 2 on both sides.
g = 11
The number of games = 11
The number of songs = 11 + 8 = 19
Thus,
The number of games is 11.
The number of songs is 19.
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Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
Answer:
3/4
Step-by-step explanation:
Tan A = opp/adj
Tan A = 30/40
= 3/4
do you know the answer?
Answer:
c
Step-by-step explanation:
no need to explain
hope it helps
Choose the definition for the function.
A.
C.
4x
2x + 2
-
43 2
73
2x - 2
-x-4
if x < 0
if x ≥ 0
if x < 0
if x > 0
B.
D.
2x + 2
-x+4
-x + 4
2x + 2
if x ≤ 0
if x > 0
if x < 0
if x > 0
Enter
The piecewise function for this problem is defined as follows:
B.
y = 2x + 2, x ≤ 0.y = -4/3x + 4, x > 0.How to define the function?The function is a piecewise function, as the function has different definitions based on the input of the function.
The different definitions for the graph are given as follows:
Left of x = 0. (closed). Right of x = 0. (open).To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:
y = 2x + 2, x ≤ 0.
To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:
y = -4/3x + 4, x > 0.
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A new linear road is planned to be constructed perpendicular to an existing one. On a representative grid, a surveyor determines that the existing linear road passes through the points LaTeX: (4,7)( 4 , 7 ) and LaTeX: (2,15)( 2 , 15 ). The roads must intersect at the point LaTeX: (4,7)( 4 , 7 ).
(a) Determine the slope of the new road.
(b) Determine the equation of the new road.
a) The slope of the new road is given by m = -4
b) The equation of line is y = -4x + 32
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P ( 4 , 7 )
Let the second point be represented as Q ( 2 , 15 )
Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 15 - 7 ) / ( 2 - 4 )
Slope m = 8 / -2
Slope m = -4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 4 = ( -4 ) ( x - 7 )
On simplifying the equation , we get
y - 4 = -4x + 28
Adding 4 on both sides of the equation , we get
y = -4x + 32
Hence , the equation of line is y = -4x + 32
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Find the distance between the parallel lines y=x-5 and y=x+6
Answer:
11
Step-by-step explanation:
i don't know
Write a function that models the data.
j k
0 3
5 28
10 53
15 78
20 103
k=[
The equation of line is y = 5x + 3 , where the slope is m = 5
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 0 , 3 )
Let the second point be Q ( 5 , 28 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 28 - 3 ) / ( 5 - 0 )
Slope m = 25 / 5 = 5
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 3 = 5 ( x - 0 )
On simplifying the equation , we get
y - 3 = 5x
Adding 3 on both sides of the equation , we get
y = 5x + 3
Hence , the equation of line is y = 5x + 3
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GEOMETRY PROOF REASONING 15 POINTS
Answer:
SAS
Step-by-step explanation:
Side: AB ≅ BC
Angle: ∠ABD ≅ ∠CBD
Side: ΔABD and ΔCBD share BD, which is a side length
I NEED HELP WITH STATISTICS
A. The null hypothesis H₀ and the alternative hypothesis H₁ are:
H₀: μ = 35 minutes H₁: μ > 35 minutes
B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.
C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.
What is a Type II error?A Type II error occurs when the null hypothesis is false, but the test does not reject it.
In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.
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The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, . . . (where F0 0).
(a) Give the recursive definition for the sequence.
(b) Write out the first few terms of the sequence of partial sums: 0, 0 + 1, 0 + 1 + 1,. . .
(c) Give a closed formula for the sequence of partial sums in terms of Fn (for example, you might say F0 + F1 + · · · + Fn 3F 2 n−1 + n, although that is definitely not correct).
(Discrete Mathematics)
The Fibonacci sequence is the sequence in which the numbers are written such that each succeeding number is sum of two preceding numbers.
The Fibonacci sequence is defined recursively as follows:
F0 = 0
F1 = 1
For n > 1, Fn = Fn-1 + Fn-2
(b) The sequence of partial sums is:
S0 = 0
S1 = 0 + 1 = 1
S2 = 0 + 1 + 1 = 2
S3 = 0 + 1 + 1 + 2 = 4
S4 = 0 + 1 + 1 + 2 + 3 = 7
S5 = 0 + 1 + 1 + 2 + 3 + 5 = 12
(c) A closed formula for the sequence of partial sums in terms of Fn is not possible, since the sequence of partial sums depends on the values of all previous terms in the Fibonacci sequence. However, it is possible to express the nth term of the sequence of partial sums, Sn, in terms of the nth term of the Fibonacci sequence, Fn, using the following formula:
Sn = F0 + F1 + ... + Fn = (F0 + F1) + (F1 + F2) + ... + (Fn-1 + Fn) = F1 + F2 + ... + Fn + F0 + F1 + ... + Fn-1 = 2Sn-1 - Fn + F0
This formula can be derived by considering the previous term in the sequence of partial sums and adding the current term of the Fibonacci sequence to it.
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Determine the slope, m, and y-intercept, b, of a line that passes through the points (–2, 6) and (4, –3).
Answer:
\(y = - \frac{3}{2} x + 3\)
slope is -3/2, y-intercept is 3.
Step-by-step explanation:
\(m = \frac{ - 3 - 6}{4 - ( - 2)} = \frac{ - 9}{6} = - \frac{3}{2} \)
\(6 = - \frac{3}{2} ( - 2) + b\)
\(6 = 3 + b\)
\(b = 3\)
\(y = - \frac{3}{2} x + 3\)