Graph a line that contains the point (-5,-3)(−5,−3)left parenthesis, minus, 5, comma, minus, 3, right parenthesis and has a slope of -2−2minus, 2.
Graph a line that contains the point (-5,-3)(−5,−3)left parenthesis, minus, 5, comma, minus, 3, right parenthesis and has a slope of -2−2minus, 2.
Answers
Y - y1 = m (x - x1)
y + 3 = -2 (x + 5)
y + 3 = -2x - 10
y = -2x -13
The line will also go through the point (0, -13)
The linear equation is y = -2x -13 And its graph is attached below:
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
WE have been given that a line that contains the Point (-5,-3) and has a Slope -2
Therefore, the equation of line would be;
y-y₁ = m(x-x₁)
y + 3 = -2 (x + 5)
y + 3 = -2x - 10
y = -2x -13
HEnce, the line will also go through the point (0, -13)
The linear equation is y = -2x -13 And its graph is attached below:
Learn more about slope here:
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Related Questions
Researchers would like to know the mean body temperature of runners at the completion of a marathon. They plan to take a random sample of 100 runners who complete a marathon and record their temperatures. Which of the following will the researchers know after they have taken the sample? Explain your answer in each part.a. The value of the mean of the sampling distribution of the sample mean.b. The approximate shape of the sampling distribution of the sample mean.c. The standard deviation of the sampling distribution of the sample mean.
Answers
Answer:
They would know a and b.
a. The mean of this distribution, by the Central Limit Theorem, is the sample mean, and thus, the researches would know this after they took the sample.
b. Sample size is 100 > 30, and thus, by the Central Limit Theorem, they would know that the shape of the distribution is approximately normal.
c. To know the standard deviation of the sampling distribution of the sample mean, the researchers would have to know the population's standard deviation, which they can't get for the sample. So they would not know the standard deviation of the sampling distribution of the sample mean after they took the sample.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
a. The value of the mean of the sampling distribution of the sample mean.
The mean of this distribution, by the Central Limit Theorem, is the sample mean, and thus, the researches would know this after they took the sample.
b. The approximate shape of the sampling distribution of the sample mean.
Sample size is 100 > 30, and thus, by the Central Limit Theorem, they would know that the shape of the distribution is approximately normal.
c. The standard deviation of the sampling distribution of the sample mean.
To know the standard deviation of the sampling distribution of the sample mean, the researchers would have to know the population's standard deviation, which they can't get for the sample. So they would not know the standard deviation of the sampling distribution of the sample mean after they took the sample.
How many centimeters are equal to 5 meters? Enter your answer in the box.
Answers
Answer:
500
Step-by-step explanation:
calculate the volume of each cone. Use 3.14 for π. Round the answer to the nearest hundredth if necessary.
Answers
Answer:
V = 217.71 in^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
V = 1/3 (3.14) (4)^2 ( 13)
V = 217.70666
Rounding the the nearest hundredth
V = 217.71 in^3
find the slope of the line between (1,4) and ( 3 , 10 )
Answers
Answer:
3
Step-by-step explanation:
slope of line = gradient of line
= [tex]\frac{10-4}{3-1}[/tex]
= 3
y = (x) = (1/16)^x
Find f(x) when x = (1/4)
Answers
Answer:
1/2
Step-by-step explanation:
(1/16)^x
Let x = 1/4
(1/16)^ 1/4
Rewriting 16 as 2^4
(1/2^4)^ 1/4
We know that 1 / a^b = a^-b
(2 ^ -4)^ 1/4
We know that a^b^c = a^(b*c)
2^(-4*1/4)
2^-1
We know that a^-b = 1/ a^b
2^-1 = 1/2^1 = 1/2
Here it is step-by-step
PLEASE SOMEONE PLEASEEE HELP ASAP
Answers
Answer:
52/63
Step-by-step explanation:
Given the expression;
4/7 * 13/9
WE are to take the product
= (4/9)* (13/7)
= (4*13)/(7*9)
= 52/63
Hence the required fraction is 52/63
The absolute value function g(x) = |x + 2| + 1 is translated 4 units right and 5 units up to become g'(x). The quadratic function f(x) graphed below is moved 5 units right and 2 units down to become f'(x). Which of these two transformed functions has a range of y ≤ −6, and what is the vertex of this transformed function?
Graph of the quadratic function f of x that comes up from the left through negative four comma negative eight to the turning point at negative two comma negative four and goes down through zero comma negative eight and continues toward negative infinity
g'(x) has a range of y ≤ −6, and its vertex is at (−6, 6).
g'(x) has a range of y ≤ −6, and its vertex is at (2, 6).
f'(x) has a range of y ≤ −6, and its vertex is at (3, −6).
f'(x) has a range of y ≤ −6, and its vertex is at (−7, −6).
Answers
Answer:
g'(x) has a range of y ≤ −6, and its vertex is at (−6, 6)
Step-by-step explanation:
Will give Brainliest for correct answer! PLEEASE HEEELP A restaurant owner wants to fence in a rectangular courtyard along one side of the restaurant for outdoor dining. The total area she can fence in is 600 square feet. Part A: Write an equation to find the area of the fenced region. Part B: Which value of x yields the least amount of fencing? Part C. What is the least amount of fencing needed?
Answers
Answer:
[tex]area \: of \: a \: rectangle = \: length \times width(or \: breadth) \: (unit ^{2} )[/tex]
Part B: I don't know part B :-)(•‿•)
4x+y>9 Select all the correct answers. (1, 6) (2, 2) (3, −4) (5, 0) (−1, 13)
Answers
Answer: 1,6 2,2 5,0 These are the correct answers.
Step-by-step explanation:
I don’t get how to find the value of m, completely lost
Answers
Answer: 9
Step-by-step explanation:
[tex]5^{2}[/tex] x [tex]5^{m}[/tex] is same as [tex]5^{2 + m}[/tex]
So, [tex]5^{2+m} = 5^{11}[/tex]
Since we have the same base we can negotiate it,
2 + m = 11
m = 11 - 2
m = 9
out of some students appeared in an examination 80% passed in mathematics 75% passed in english and 5% failed in both subjects if 3000 of them were passed both subjects how many students were appeared i the examination find by using a venn diagram
Answers
Answer:
5000 students appeared in the examination.
Step-by-step explanation:
We solve this question using Venn probabilities.
I am going to say that:
Event A: Passed in Mathematics
Event B: Passed in English.
5% failed in both subjects
This means that 100 - 5 = 95% pass in at least one, which means that [tex]P(A \cup B) = 0.95[/tex]
80% passed in mathematics 75% passed in english
This means that [tex]P(A) = 0.8, P(B) = 0.75[/tex]
Proportion who passed in both:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
Considering the values we have for this problem
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.8 + 0.75 - 0.95 = 0.6[/tex]
3000 of them were passed both subjects how many students appeared in the examination?
3000 is 60% of the total t. So
[tex]0.6t = 3000[/tex]
[tex]t = \frac{3000}{0.6}[/tex]
[tex]t = 5000[/tex]
5000 students appeared in the examination.
Which drawing wouldn’t be useful to find the area of this trapezoid? and why ?
Answers
Answer:
C
Step-by-step explanation:
Though you may think that u can change that piece to there, but the possibility is very less
Write the quadratic function f(x) = x2 – 2x – 8 in factored form.
Question 14 options:
A)
f(x) =(x – 4)(x – 2)
B)
f(x) =(x + 4)(x + 2)
C)
f(x) =(x + 4)(x – 2)
D)
f(x) =(x – 4)(x + 2)
Answers
Answer:
f(x) = (x-4)(x+2)
Step-by-step explanation:
f(x) = x^2 – 2x – 8
What 2 numbers multiply to -8 and add to -2
-4*2 = -8
-4+2 = -2
f(x) = (x-4)(x+2)
[tex]\longrightarrow{\green{ D. \:f(x)\:=\:(x - 4)(x + 2) }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \: f(x) = {x}^{2} - 2x - 8[/tex]
[tex] \:f(x) = {x}^{2} - 4x + 2x - 8[/tex]
Taking [tex]x[/tex] as common from first two terms and 2 from last two terms, we have
[tex] \:f(x) = x \: (x - 4) + 2 \: (x - 4)[/tex]
Taking the factor [tex](x-4)[/tex] as common,
[tex] \:f(x) = (x - 4)(x + 2)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:
734 769 687 689 759 752 739 694 736 700 768 693 713
732 712 700 707 730 711 700 703 710 682 753 706
a. Find the mean, median and mode of this information. (Round your answers to 2 decimal places.)
Mean $
Median $
Mode (Click to select)$700$712$694
b. What are the range and standard deviation? (Round your answers to 2 decimal places.)
Range $
Standard deviation $
c. Use the Empirical Rule to establish an interval which includes about 95 percent of the observations. (Round your answers to 2 decimal places.)
The interval is from $ up to $ .
Expense
734
769
687
689
759
752
739
694
736
700
768
693
713
732
712
700
707
730
711
700
703
710
682
753
706
Answers
Answer:
a) The mean μ = 719,16
The median is the middle number m = 711
The mode is the number that occurs more often
md = 700
b) The range r = 67
The standard deviation σ = 25.63
I ( 95 % ) = ( 667.90 ; 770.42)
Step-by-step explanation:
We order the set of numbers in ascending order
682 687 689 693 694 700 700 700 703 706 707 710 711 712 713 730 732 734 736 739 752 753 759 768 769
The mean μ = Σ xi/n
μ = 719,16
The median is the middle number
m = 711
The mode is the number which occurs more often
md = 700
The range is r = 769 - 682 r = 67
c) Interval with 95 % of observations is ( μ + 2σ ; μ- 2σ )
I = ( 719.16 - 2*25.63 ; 719.16 + 2*25.63)
I ( 95 % ) = ( 667.90 ; 770.42)
si el radio de un circulo es de 3 pulgadas. cual es el area del circulo?
Answers
Answer:
I don’t know
Step-by-step explanation:
A window is being built and the bottom is a rectangle and the top is a semicircle. If the perimeter is 12 meters, what dimensions of the window would let in the most light
Answers
Answer:
x = 0,41 m or x = 41 cm
r = 2,18 m
Step-by-step explanation:
Window which allow most light is that with maximum area
The perimeter of the window is the perimeter of the semicircle (psc ) plus the perimeter of the three sides of the rectangle, sides of the rectangle are 2*x and 2*r then:
pt = 12 = psc + pr
psc = π*r pr = 2*x + 2*r
pt = π*r + 2*x + 2*r
pt = 12 = π*r + 2*x + 2*r (1)
The area of the window is:
A(w) = area of the semicircle ( π*r²/2 ) + area of the rectangle (x*2*r)
A(w) = ( π*r²/2 ) + 2*x*r
Using (1) we get: 12 = r* ( π + 2 ) + 2*x
r = ( 12 - 2*x ) / ( π + 2 )
Plugging that value in A(w) we find total area A(w) as a function of x
A(x) = π* [ (12 - 2*x ) / ( π + 2 )]²/ 2 + 2*x*( 12 - 2*x ) / ( π + 2 )
A(x) = π* [ 144 + 4*x² - 48*x/ ( π + 2 )² + 24*x + 4*x²/ ( π + 2 )
A(x) = [ π*/ ( π + 2 )² ] * (144 + 4*x² - 48*x ) + 24*x + 4*x²/ ( π + 2 )
Tacking derivatives on both sides of the equation:
A´(x) = [ π*/ ( π + 2 )² ]* 8*x - 48 + ( 24 + 8*x )/ ( π + 2 )
A´(x) = 0 [ π*/ ( π + 2 )² ]* 8*x - 48 + ( 24 + 8*x )/ ( π + 2 ) = 0
π* (8*x - 48) / ( π + 2 ) + 24 + 8*x = 0
8*π*x - 48*π + ( 24 + 8*x ) *( π + 2 ) = 0
8*π*x - 48*π + 24*π + 48 + 8*π*x + 16*x = 0
16*π*x - 24*π + 16*x + 48 = 0
x ( 16*π + 16 ) - 24*π + 48 = 0
66,24 * x = 75,36 - 48
x = 27,36 / 66,24 m
x = 0,41 m or x = 41 cm
r = ( 12 - 2*x ) / ( π + 2 )
r = 12 - 2* 0,41 / 3,14 + 2
r = 11,18 / 5,14
r = 2,18 m
what's the prime factorization of 78
Answers
Answer:
2,3 &13
Step-by-step explanation:
78=2times39=3times13
therefore the prime factors of 78=2,3,13
Can someone answer this question please
Answers
Answer:
Round off the decimal to the nearest tenths.
0.82
The answer is 0.80
Step-by-step explanation:
When I learned rounding, we would round to the place value behind it then if its less than 5 than my answer would be what its rounded to. If I round 92 to the nearest tenth, it would be 90 because 2 is not greater than 5 so it would round to 90 because its the nearest tenth. If it was 95 it would be rounded to 100, any number that is 5 to 9 would be rounded to the greater tenth closer to it. So 0.82 is less than 5 nor 5 so it would round up to 0.80
Find the length of X (IN THE PICUTRE GIVING BRAINLEST TO BEST answer)
Answers
Answer:
x=3
Step-by-step explanation:
Since they are similar triangles, we can use ratios to solve
x 3.5
----- = -------
6 7
Using cross products
7x = 21
Divide each side by 7
7x/7 = 21/7
x = 3
The college hiking club is having a fund raiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $1 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of the dinner for two at a local Chinese restaurant. The dinner is valued at $35. Since the fortune cookies were donated to the club, we can ignore the cost of the cookies. The club sold 743 cookies before the drawing.
(a) Lisa bought 12 cookies. What is the probability she will win the dinner for two? (Round your answer to three decimal places.)
What is the probability she will not win? (Round your answer to three decimal places.)
(b) Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? (Round your answer to two decimal places.)$
How much did she effectively contribute to the hiking club? (Round your answer to two decimal places.)$
Answers
Answer:
a)
- the probability she will win the dinner for two is 0.016
- the probability she will not win the dinner for two is 0.984
b)
- Lisa's expected earnings is $0.57
- Money she effectively contributed to the hiking club is $11.43
Step-by-step explanation:
Given the data in the question;
fortune cookies; $1 per cookies
club sold 743
a) Lisa bought 12 cookies. What is the probability she will win the dinner for two?
P( she will win ) = Number of cookies bought / Total number of cookies
P( she will win ) = 12 / 743
P( she will win ) = 0.01615 ≈ 0.016
Therefore, the probability she will win the dinner for two is 0.016
P( she will not win ) = 1 - P( she will win )
P( she will not win ) = 1 - 0.016
P( she will not win ) = 0.984
Therefore, the probability she will not win the dinner for two is 0.984
b) Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? (Round your answer to two decimal places.)$
given that value of dinner = $35
P( she will win ) = 0.01615
so
Lisa's earning = $35 × 0.01615
Lisa's earning = $0.57
Therefore, Lisa's expected earnings is $0.57
- How much did she effectively contribute to the hiking club? (Round your answer to two decimal places.)$
Lisa's contribution = Money she paid for cookies - money from expected earnings
Lisa's contribution = ( 12 × $1 ) - $ 0.57
Lisa's contribution = $12 - $0.57
Lisa's contribution = $11.43
Therefore, Money she effectively contributed to the hiking club is $11.43
At-home medical test kits have increased in popularity in recent years. This year, 380 million test kits are expected to be sold. This represents a 114% increase from the number of kits that were sold last year. How many medical test kits were sold last year?
Answers
Answer:
326.8 million
Step-by-step explanation:
You just get 14% of 380 million and subtract it from 380 million
Using the area model below, write the standard form of the product.
- 3x
2.
x2
-14x
5
Answers
Answer:
-3x³ + 44x² - 43x + 10
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}&-3x&2\\x^2&-3x^3&2x^2\\-14x&42x^2&-28x\\5&-15x&10\end{array}\right][/tex]
= -3x³ + 2x² + 42x² - 28x - 15x + 10 = -3x³ + 44x² - 43x + 10
I need help I don’t know the answers to these
Answers
Answer:
its 5 because of the formula
Step-by-step explanation:
Answer:
90
2
O
I can't see the last question clearly
You are solving a system of two linear equations in two variables, and you discover that there are no solutions to the system.
Which of the following graphs could describe the system of equations?
A
Green
B
Purple
C
Blue
D
Pink
Answers
Answer:
D. Pink
Step-by-step explanation:
Two equation with no solutions means the lines are parallel
At a coffee shop, the first 100 customers'
orders were as follows.
Small Medium Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a cold drink given that he or she ordered a large?
Rounded to the nearest percent, [? ]%
Answers
Answer:
Percentage = 6.8% or 7%
Explanation
cold = 25/100
Large = 27/100
large multiplied by cold = (25/100 x 27/100) / 25 x 27 = 0.0675 x 100
= 6.75%
Percentage = 7 %
or 6.8 % to 1dp
The probability is equal to the ratio of the number of favourable outcomes and the total number of outcomes. Here the percentage that the customer ordered a cold drink is 5.5 %.
What is probability?Probability is the measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can only predict the chance of an event to occur. The probability of all the events in a sample space adds up to 1.
The value is expressed from zero to one. Here zero means the event is impossible.
Here the probability to select cold drink = 25 /100
The probability to select Large drink = 22 / 100
When we multiply both the probability, then it becomes:
25 /100 × 22 / 100 = 25 × 22 = 550 / 100 = 5.5 %
Thus the probability is 5.5 %.
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Help do I add or divide?
Answers
Answer:
Hello! answer: 32
Step-by-step explanation:
Divide. 512 ÷ 16 = 32 so they box and ship 32 toys an hour
The perimeter of a rectangular dining room is 22 meters. The dining room is 3 meters wide. How long is it?
Answers
Answer:
8 meters
Step-by-step explanation:
perimeter of a rectangular figure = 2( length + width)
=> 22 = 2 ( length + 3)
dividing both sides by 2=> 11 = length + 3
subtracting 3 from both sides=> length = 8
Find the volume of the cylinder
Answers
Answer:
C. 1,620 in^3
Step-by-step explanation:
Thank you!
how do i answer questions
Answers
Answer:
You click on the ANSWER button and type in your answer and sometimes explanation (if necessary) and then click the blue paper airplane button on the right to post it. Hope this helps.
fill in the blank so that the ordered pair is a solution of the equation . please help with this question i will mark you brainliest !
Answers
Answer:
2.
Step-by-step explanation:
You don't have to mark me brainliest but, 4=22-9x. -18=-9x. 9x=18. x=2
2.