Step-by-step explanation:
You can write an equation of a line conveniently by point-slope form. It's in the form of [tex]y -a = m(x -b)[/tex] where [tex](b,a)[/tex] is the coordinates of a point that's on the line and [tex]m[/tex] is the slope of the line.
Now choose a point (It doesn't really matter which one) and plug that in the equation. I'll choose [tex](-3,7)[/tex] where [tex]a = 7[/tex] and [tex]b = -3[/tex]
[tex]y -a = m(x -b) \\ y -7 = m(x -(-3)) \\ y -7 = m(x +3)[/tex]
The next thing we have to do now is finding the slope, [tex]m[/tex], where it's equal to [tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}\\[/tex]. I'll make [tex](-3,7)[/tex] point 1 and [tex](3,3)[/tex] point 2.
[tex]m = \frac{3 - 7}{3 -(-3)} \\ m = \frac{3 - 7}{3 +3} \\ m = \frac{-4}{6} \\ m = -\frac{2}{3}[/tex]
Now let's plug that to our equation.
[tex]y -7 = m(x +3) \\ y -7 = -\frac{2}{3}(x +3)[/tex]
Now we have the equation but out of all the choices it seemed that all of them are in slope-intercept form all you have to do now is make our equation rewrite it in slope-intercept form.
[tex]y -7 = -\frac{2}{3}(x +3)\\ y -7 = -\frac{2}{3}x -\frac{2}{3}(3) \\ y - 7 = -\frac{2}{3}x -2\\ y = -\frac{2}{3}x +5[/tex]
Answer:[tex]y = -\frac{2}{3}x +5\\[/tex] is your equation.
The exam in a course consists of 25 true/false questions, each worth two points, 35 multiple-choice questions, each worth one point, and 5 fill-in-the-blank questions, each worth three points. The probability that a student answers a true/false question correctly is 0.8, the probability that they answer a multiple-choice question correctly is 0.75, and the probability that they answer a fill-in-the-blank question correctly is 0.65. What is the expected score on the exam? Now consider the case where an incorrect answer on a true/false question results in a penalty of −1 point. 2 What is the resulting expected score?
Answer:
Expected Score (No Negative Marking) = 135 points
Expected Score (with penalty) = 130 points
Step-by-step explanation:
First we find no. of true false answered correctly:
True/False Correct = (Total No. of True/False)(Probability to correctly answer true/false)
True/False Correct = (25)(0.8)
True/False Correct = 20
Now, for points scored from true/false:
True/False Score = (True/False Correct)(Points for 1 True/False)
True/False Score = (20)(2)
True/False Score = 40 points
Now, we find no. of mcqs answered correctly:
MCQs Correct = (Total No. of MCQs)(Probability to correctly answer MCQs)
MCQs Correct = (35)(0.75)
MCQs Correct = 26.25 = 26
Now, for points scored from MCQs:
MCQ Score = (MCQs Correct)(Points for 1 MCQ)
MCQ Score = (26)(1)
MCQ Score = 26 points
Now, we find no. of fill in the blanks answered correctly:
Fill in the blanks Correct = (Total No. of Fill in the blanks)(Probability to correctly answer Fill in the blanks)
Fill in the blanks Correct = (35)(0.65)
True/False Correct = 22.75 = 23
Now, for points scored from true/false:
Fill in the blanks Score = (Fill in the blanks Correct)(Points for 1 Fill in the blanks)
Fill in the blanks Score = (23)(3)
Fill in the blanks Score = 69 points
So, the expected total score will be:
Expected Score = 40 points + 26 points + 69 points
Expected Score = 135 points
IN CASE OF PENALTY:
We know that:
Incorrect True/Flase = Total True/False - Correct True/False = 25 - 20 = 5
Therefore,
Total Penalty = (Incorrect True/False)(Penalty on one)
Total Penalty = (5)(- 1 points)
Total Penalty = - 5 points
Now, expected score will be;
Expected Score (with penalty) = 135 points - 5 points
Expected Score (with penalty) = 130 points
PLZ ANSWER FAST (40 POINTS + BRAINLIEST)
Rewrite the expression y 2/3 as a radical expression.
Answer:
[tex]\sqrt[3]{y^2}[/tex]Step-by-step explanation:
Rewrite the expression y^2/3 as a radical expression.
if n is a positive integer that is greater than x and a is a real number or a factor, then aˣ/ⁿ = [tex]\sqrt[n]{a^x}[/tex]
use the rule to convert y²/₃ to a radical
where a =, x =, and n =.
therefore, the radical expression is [tex]\sqrt[3]{y^2}[/tex]
what is 2.1 divided by 12.6
Answer:
0.16666666666
Answer:
0.16666667
Step-by-step explanation:
are two squares with the same side lengths scaled copies of one another explain your reasoning
Answer:
no
Step-by-step explanation:
if they have the same side lengths, then neither of the squares were scaled up nor down. they're the same size, so they're just copies of each other
What is the solution to the following equation?
X-3(2x-8)= -25
A. X= 11
B. X= 14
C. X=10
D. x=5
Answer: X-3(2x-8)= -25
A. X= 11
B. X= 14
C. X=10
D. x=5
Step-by-step explanation:
The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. x 1 2 4 8 16 p(x) 0.05 0.15 0.25 0.30 0.25 (a) Compute E(X) (in GB). (Enter your answer to two decimal places.) GB (b) Compute V(X) (in GB2) directly from the definition. (Enter your answer to four decimal places.) GB2 (c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.) GB (d) Compute V(X) (in GB2) using the shortcut formula. (Enter your answer to four decimal places.) GB2
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
x: ____ 1____ 2____ 4____ 8____ 16
p(x): _0.05_ 0.15__ 0.25__0.30__ 0.25
E(X) : Σ[(X). P(X)]
Σ(1*0.05) + (2*0.15) + (4*0.25) + (8*0.30) + (16 * 0.25)
= 7.75
B)
E(x) = u = 7.75
Var(X) = E[(x - u)²*p(x)] = (1 - 7.75)^2 * 0.05 + (2 - 7.75)^2 * 0.15 + (4 - 7.75)^2 * 0.25 + (8 - 7.75)^2 * 0.30 + (16 - 7.75)^2 * 0.25 = 27.7875
C)
Standard deviation (s)
s = √Var(x)
s= √27.7875
s = 5.271
D)
VAR(X) = E(X²) - (E(X))²
E(X²) = Σx²*p(x)
E(X²) = Σ(1^2 * 0.05 + 2^2 * 0.15 + 4^2 * 0.25 + 8^2 * 0.30 + 16^2 * 0.25) = 87.85
V(X) = E(X^2) - (E(X))^2 = 87.85 - 7.75^2 = 27.7875
What is the value of x in the equation 8x-5(x-1)=20
1. 25/3
2. 21/4
3. 5
4. 7
I need help "The cost of 1 movie ticket is $7.50. The cost of 2 movie tickets is $15. Based on the constant rate of change what is the cost of 4 movie tickets?
Answer:
4 tickets cost $30
step by step:
15+7.50=22.5 (3 tickets)
22.5+7.50=30 (4 tickets)
Find the exact length of the third side.
Answer:
5
Step-by-step explanation:
The answer is 5 I just used google.
5,5,3 Is this a triangle? Explain.
8,8,8,Is this a triangle? Explain.
7,8,15 Is this a triangle? Explain.
5,6,10 Is this a triangle? Explain.
No clown answers or you'll get reported please help me I have until 3:00 am desperate please solve
Answer:
None of these points form a right triangle.
Step-by-step explanation:
IF YOU'RE TRYING TO FIND IF THE POINTS FORM A RIGHT TRIANGLE, THIS SHOULD WORK.
5,5,3 Explantation: To first start things off, we know our hypotenuse is the longest side of the right triangle. Using this information, we know that 5*2( 5 squared) is 25 and that 3 squared is 9. Now we add these two points and we get 34. (Don't forget to square the other side.) Now we have 34=25 which is not true sooo we know the points given do not form a RIGHT triangle.
The same goes with the other points. Once you solve them, neither of them form a right triangle. (Don't forget that we use a*2 + b*2=c*2) (The c should be the biggest point given!)
Hope this helps, if you have any questions please feel free to ask! :)
How many atoms is 4.00 grams of iron
(Fe)?
Answer:
226
Step-by-step explanation:
Habiba wants to buy a new laptop. She purchases it for $950 and finances it for 3 years at an interest rate of 9.2%. How much interest will she pay?
There are 450 cars in the car lot about 28% of them are hybrid cars. About how many cars are hybrid cars? Explain your reasoning.
Answer:
there are 126 hybrid cars.
Step-by-step explanation:
28% of 450 is 126
ta-daaa
A survey in 2012 indicated that college freshmen carry a mean credit card debt of $611 but the median of their credit card debt is $47. Create a data set of five freshmen students so that the data set has a mean and median that is the same as that of the surveyed college freshmen. , , , ,
Answer:
$27, $30, $47, $1093, $1851
Step-by-step explanation:
The median is the middle number and the mean is the average. When averaging all the numbers above, you get 611 and the middle number is 47.
The possible data set is $27, $30, $47, $1093, and $1851.
What is the mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
To create a data set of five freshmen students with the same mean and median as the surveyed college freshmen:
Arrange the five numbers in ascending order to create the data set.
For example, one possible data set is:
$27, $30, $47, $1093, $1851
The mean of this data set is (28+ 40 + 47 + 1090 + 1850) / 5 = $611, which is the same as the mean of the surveyed college freshmen.
The median of this data set is 47, which is also the same as the median of the surveyed college freshmen.
Therefore, $27, $30, $47, $1093, and $1851 are the points of the data set.
To learn more about the mean;
brainly.com/question/13451489
#SPJ2
QUESTION 2
84 is 30% of what number?
Answer: 280
Step-by-step explanation:
100/30=3.(3)
3.(3)*84=280
Answer:
280
Step-by-step explanation:
Kimora drove with frankie to her mothers house which is 310 miles away. If it took them 6 hours, what was their average speed ?
Answer:
51.6 was the average speed
Step-by-step explanation:
speed= distance/time
-8x-10 y= 24
6.0 + 5y = 2
(-16)-10y=24
-10y=24+16
this steps has been cropped in the pic
so try to understand
hope you like the answer
please mark as brainlist
Maggie's brother is 4 years younger than four times her age. The sum of their ages is 31.
How old is Maggie?
Plzzzzzz hellp
Pllllzzzz
Answer:
Maggie is 7 years old
Step-by-step explanation:
Attached is an image that explains the question. Hope this helps!
Convert a density of 9.45 g/L to its equivalent in g/mL
Answer:
the answer is 0.00945
Answer:
0.00945g/mL
Step-by-step explanation:
Divide the mass / volume value by 1000
for a repair job an electrician charges an hourly rate of d dollars plus a flat fee of 50 the electricion charged a total if 114 for a 4-hour repair job. Part B. What is the value of D
Answer:
B. 4d + 50 = 114
Step-by-step explanation:
Given parameters:
Hourly rate = $d/hr
Flat fee = $50
Charge for the 4hrs = $114
Number of hours = 4hrs
To find d;
Total cost = $114;
$114 = Flat fee + (rate per hour x number of hours)
$114 = $50 + 4d
The value of d can be calculate using;
4d + 50 = 114
The value of d is 4d + 50 = 114
Hi i need help with this "The cost of a theme park ticket is $25. The cost for 2 ticket is $50 what is the cost of 4 theme park tickets
Answer:
$100
Step-by-step explanation:
If 1=$25, 2=$50, then 4*25=100 and 50*2=100
1.Find the missing angle
2.what is the measure of angle 1
3.what is the measure of angle 2?
Can someone help me please
Answer:
-729, so x9
Step-by-step explanation:
-81×9=-729 hope it helps!
Solve for x: x + b = C
Answer:
x=C-b
Step-by-step explanation:
Subtract b from both sides to get x alone.
1) Which of these situations can be represented by the opposite of 80? Select all that apply. *
a) An airplane descends 80m.
b) An elevator ascends 80m.
c) The cost of a train ticket drops $80.
d) You remove 80 songs from an iPhone.
e) Suzy's grandmother is 80 years old.
Answer:
D because if you remove the song there will be no more numberrs which is the opposite.
Situations A, C and D are the correct answers.
From the options, we need to check the situations opposite to 80.
What are integers?An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
Now,
Situation A: An aeroplane descends 80 m, this can be represented in integer form as -80.
Situation B: An elevator ascends 80 m, this can be represented in integer form as 80.
Situation C: The cost of a train ticket drops by $80, which can be represented in integer form as -80.
Situation D: You remove 80 songs from an iPhone, which can be represented in integer form as -80.
Situation E: Suzy's grandmother is 80 years old, which can be represented in integer form as 80.
Therefore, situations A, C and D are the correct answers.
To learn more about integers visit:
https://brainly.com/question/15276410.
#SPJ2
__,__,__,89,115,141 so
Answer:
11, 37, 63, 89, 115, 141
Step-by-step explanation:
Subtract 89 from 115 and you get 26.
Subtract 115 from 141 and you get 26.
Its a pattern, subtract 26 from 89 and you get 63, keep subtracting 26.
Answer:
11, 37, 63, 89, 115, 141
Step-by-step explanation:
Every time you proceed right you add 26 to the last number.
Every time you go left you take away 26 from the last number
Hope this helps:)
(just add until 89 is 115 and add the answer to 115 and see if the answer adds up)
if 300 apples cost 17600 how much does 1 apple cost
Answer:
58.67 17600/ 300 = 58.67
Help with this plz plz ASAP
what is the rule for that
Answer:
The constant rule being followed is that the sum of x and y in every case is 5
Since the sum of x and y is 5, we can say that the value of y is 5-x
So we can define a function for this rule:
f(x) = 5 - x
Answer:
y = -x + 5Step-by-step explanation:
From the table we see that:
1. It is linear relationship as the difference in values change in linear increment2. Rate of change is - 1 as y-values drop by 1 unit3. y-intercept is 5 as per the first row (0, 5)Considering the above observations we can put equation:
y = - x + 5Does the equation y = x/2 represent a proportional relationship
Answer:yes
Step-by-step explanation:Y=x/2 because it goes through the origin