What is the solution (q, r) to this system of linear equations? 12q + 3r = 15 –4q – 4r = –44
Answers
Answer:
work is shown and pictured
Answer:
(-2, 13)
Step-by-step explanation:
Or b on edge
Related Questions
In a random sample of high school seniors, the proportion who used text messaging was 0.88. In a random sample of high school freshmen, this proportion was 0.68. Researchers found the difference in proportions to be statistically significant and obtained one of the following numbers for the p-value. Which is it?
a. 1.5
b. 0.02
c. 0.78
d. 0.30
Answers
Answer:
Option B - 0.02
Step-by-step explanation:
In this question, the p-value is used to tell us the probability that a difference of (0.88 – 0.68) which is 0.2 or greater would occur in the distribution of simulated differences. This is created done with the assumption that there is no true difference in the two populations.
Due to the fact that the researchers found the difference in proportions to be statistically significant, hence these results would rarely occur due to just the sampling variability and thus the p-value must be small.
Looking at the options, the p-value in Option (B) will be the correct response,l as it indicates that a difference of 0.2 or more would only occur about 2% of the time by chance alone provided the proportion who text were the same in the population of seniors and the population of freshmen. This resonates well with the claim that the difference in proportions is statistically significant.
Thus, Option B is the correct answer.
College students spend $183 more each year on textbooks and course materials than on computer equipment. They spend a total of $819 on textbook and course materials and equipment each year. How much is spent each year on textbooks and course materials and computer equipment?
Answers
Answer:
Textbooks: $506Course Materials and Electronics: $323Step-by-step explanation:
First, we need to divide the amount into 2 equal parts:
$819/2 = $414.50
Now, because they spent $183 more on textbooks, we add half of that to $414.50.
$414.50 + $91.50 = $506
$414.50 - $91.50 = $323
To make sure that the amount spent on textbooks is $183 more than the amount spent on course materials and computers, we need to add $183 to $323. If we get $506, our answer is correct.
$323 + $183 = $506 ✅
Textbooks: $506Course Materials and Electronics: $323I'm always happy to help1. What is a residual?
A. A residual is a value of y -y, which is the difference between an observed value of y and a predicted value of y.
B. A residual is a point that has a strong effect on the regression equation.
C. A residual is a value that is determined exactly, without any error.
D. A residual is the amount that one variable changes when the other variable changes by exactly one unit.
2. In what sense is the regression line the straight line that "best" fits the points in a scatterplot?
The regression line has the property that the______of the residuals is the V possible sum.
Answers
Answer:
1. what is a residual?
A. A residual is a value of y -y, which is the difference between an observed value of y and a predicted value of y.
2. The regression line has the property that the_sum of squares_of the residuals is the minimum possible sum.
Step-by-step explanation:
1. What is a residual?
A. A residual is a value of y -y, which is the difference between an observed value of y and a predicted value of y.
2. In what sense is the regression line the straight line that "best" fits the points in a scatterplot?
The regression line has the property that the_sum of squares_of the residuals is the minimum possible sum.
A residual is a value {Δy} that is a difference between an observed value of {y} and a predicted value of {y}.
What is regression line?A regression line is an estimate of the line that describes the true, but unknown, linear relationship between the two variables. Mathematically -
[tex]$Y_i=f(X_i, \beta)+e_i[/tex]
Given is residual.
The residual for each observation is the difference between predicted values of y (dependent variable) and observed values of y. Mathematically -
[tex]r = x-x_{0}[/tex]
Therefore, a residual is a value {Δy} that is a difference between an observed value of {y} and a predicted value of {y}.
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What is the definition of PEMDAS
Answers
Answer:
it's the step by step proceedure you use when solving an equation. Parentethese (do this first)
Exponents (take care of that after parentheses)
Multiplication
Division
Addition
subtraction (always the last step in the problem)
Step-by-step explanation:
Answer:
PEMDAS = ( ), Exponents, Multiplication, Division, Addition, Subtraction
Step-by-step explanation:
essentially, PEMDAS are an order of a rule in which you have to follow.
1. P = Parenthesis/ ( )
2. E= Exponents/ ²
3. M= Multiplication/ x
4. D= Division/ ÷
5. A= Addition/+
6. S= Subtraction/-
Each goes in order, and if there isn't one of the steps included in the math problem you are given, then its better to move on to the next uwu
I hope this was helpful owo
If the statement shown is rewritten as a conditional statement in if-then form, which best describes the conclusion? When a number is divisible by 9, the number is divisible by 3.
Answers
Answer:
when a number is divisible by 9, then the number is divisible by 3.
Step-by-step explanation:
They tell us "When a number is divisible by 9, the number is divisible by 3" we could change it by:
when a number is divisible by 9, then the number is divisible by 3.
Which makes sense because the number 9 is a multiple of the number 3, which means that the 9 can be divided by 3, therefore, if the number can be divided by 9, in the same way it can be divided by 3 .
Answer:
a
Step-by-step explanation:
The expression 3 × 7 – 4 × 8 + 2 is equivalent to which of the following?
Answers
Answer:
-9
Step-by-step explanation:
3 time 7
minus
4 times 8
21 - 32
-11+2= -9
if 2 X degree is the exterior angle of triangle and x degree and 45 degree are opposite interior angle find the value of x degree
Answers
Answer:
x = 45 degrees
Step-by-step explanation:
The measure of exterior angles is equal to the sum of non-adjacent interior angles
=> 2x = x+45
=> 2x-x = 45
=> x = 45 degrees
Answer:
45 degrees.
Step-by-step explanation:
The exterior angle = sum of the 2 opposite interior angles.
2x = x + 45
2x - x = 45
x = 45.
What is the equation of the line ( 1,9 ) ( 0,0 )
Answers
Answer:
y = 9x
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= (0-9)/(0-1)
-9/-1
9
The y intercept is 0 since the y value is 0 when x=0
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = 9x +0
y = 9x
Helppp Please!!!!!!!!!
Answers
Answer:
B. 17°.
Step-by-step explanation:
To solve the problem, we can use SOH CAH TOA.
SOH = Sine, Opposite divided by Hypotenuse
CAH = Cosine, Adjacent divided by Hypotenuse
TOA = Tangent, Opposite divided by Hypotenuse
In this case, we are given both the opposite and the hypotenuse, so we will use sine to solve it.
sine(N) = 4 / 14
sine(N) = 2 / 7
N = sec(2/7)
N = 16.6015496, which is about B. 17°.
Hope this helps!
The probability that Hugo is on time for a given class is 71 percent. If there are 57 classes during the semester, what is the best estimate of the number of times out of 57 that Hugo is on time to class? Round your answer to the nearest integer.
Answers
Answer:
40
Step-by-step explanation:
P(Hugo is on time for a given class)=71%=0.71
If there are 57 classes during the semester
The number of times Hugo is on time to class during the semester will
=0.71 X 57
=40.47
[tex]\approx 40 $ (correct to the nearest integer.)[/tex]
Hugo is on time to class approximately 40 out of 57 times.
of the following fractions which is 50% greater than 3/7
Answers
Answer:
9/14
Step-by-step explanation:
3/7 + 50%×3/7 =
= 3/7 + 1/2×3/7
= 3/7 + 3/14
= 6/14 + 3/14
= 9/14
The required fraction which 50% grater than 3/7 is 9/14.
Fraction to determine that 50% grater than 3/7.
Fraction of the values is number represent in form of Numerator and denominator.
Here, fraction = 50% grater than 3/7
= 1.5 x 3/7
= 4.5/7
= 45/70
= 9/14
Thus, The required fraction which 50% grater than 3/7 is 9/14.
Learn more about fraction here:
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g A 5 foot tall man walks at 10 ft/s toward a street light that is 20 ft above the ground. What is the rate of change of the length of his shadow when he is 25 ft from the street light
Answers
Answer:
[tex]-\frac{10}{3}ft/s[/tex]
Step-by-step explanation:
We are given that
Height of man=5 foot
[tex]\frac{dy}{dt}=-10ft/s[/tex]
Height of street light=20ft
We have to find the rate of change of the length of his shadow when he is 25 ft form the street light.
ABE and CDE are similar triangle because all right triangles are similar.
[tex]\frac{20}{5}=\frac{x+y}{x}[/tex]
[tex]4=\frac{x+y}{x}[/tex]
[tex]4x=x+y[/tex]
[tex]4x-x=y[/tex]
[tex]3x=y[/tex]
[tex]3\frac{dx}{dt}=\frac{dy}{dt}[/tex]
[tex]\frac{dx}{dt}=\frac{1}{3}(-10)=-\frac{10}{3}ft/s=-\frac{10}{3}ft/s[/tex]
Hence, the rate of change of the length of his shadow when he is 25 ft from the street light=[tex]-\frac{10}{3}ft/s[/tex]
which of the following sets of ordered pairs describes a function?
(A) {(2,3),(2,5),(4,7)}
(B) {(2,1),(4,3),(5,7)}
(C) {(3,-2),(2,4),(3,6)}
(D) {(-1,4),(-1,5),(2,5)}
Answers
Answer:
(B) {(2,1),(4,3),(5,7)}
Step-by-step explanation:
If the same x value goes to 2 different y values, it is not a function
(A) {(2,3),(2,5),(4,7)} the x value 2 goes to 3 and 5
(B) {(2,1),(4,3),(5,7)}
(C) {(3,-2),(2,4),(3,6)} 3 goes to -2 and 6
(D) {(-1,4),(-1,5),(2,5)}-1 goes to 4 and 5
QUICK HELP HURRY! Simplify the expression. [tex]10^{-2} +10^{-1}[/tex]
Answers
Answer:
11/100 or 0.11
Step-by-step explanation:
10^-2 is also equal to 1/100
10^-1 is also equal to 1/10
Simply add them now:
1/100+1/10
= 1/100+ 10/100
= 11/100=0.11
Hope this helped!
2.5 – 1.2x < 6.5 – 3.2x?
Answers
Answer: x<2 or xϵ(-∞; 2)
Step-by-step explanation:
Add +3.2x to both sides of inequality:
2.5-1.2x+3.2x<6.5-3.2x+3.2x
2.5+2x<6.5
Deduct 2.5 from both sides of inequality:
2.5-2.5+2x<6.5-2.5
2x<4
Divide both sides of inequality by 2
2x/2<4/2
x<2 or xϵ(-∞; 2) ( the answer can be written in 2 ways)
Answer:
2.5 - 1.2x < 6.5 - 3.2x
add 3.2x to both sides;
2.5 + 2x < 6.5
minus 2.5 from both sides;
2x < 4
x < 2
Step-by-step explanation:
This is the exact same as doing a linear equation, so brush up on this skill.
Which is the best description for the graph?
The graph is increasing everywhere
The graph is decreasing everywhere
The graph is increasing then decreasing
The graph is decreasing then increasing
Answers
Answer:
D
Step-by-step explanation:
It's decreasing then once it hits the origin, it starts to increase again. I hope this helps you:)
Answer:
D
Step-by-step explanation:
Answer quick! EASY! WILL GIVE YALL BRAINLIESTTT
Answers
Answer:
7
Step-by-step explanation:
:)
Obtain the number 175 in two steps, using the numbers 3, 10 and 25 exactly once. You may use addition, subtraction, or multiplication.
Answers
Answer: (10 - 3) x 25 = 175
Step-by-step explanation:
10 - 3 = 7
7 x 25 = 175
A 12 sided die is rolled the set of equally likely outcomes is 123 456-789-10 11 and 12 find the probability of rolling a number greater than three
Answers
Answer:
6
Step-by-step explanation:
nerd physics
please simplify this equation
Answers
Answer:
The answer is -24√35
Step-by-step explanation:
-6√7 × 4√5
Using the rules of surds multiply the numbers outside the square root and the ones inside
That's
(-6×4)(√ 7 × √5)
= - 24√7×5
= -24√35
Hope this helps you
Answer:
-24√35
Step-by-step explanation:
-6√7 × 4√5
-6 × √7 × 4 √5
-6 × 4 × √7 × √5
-24 × √(7 × 5)
-24√35
Tony used a photocopier to dilate the design for a monorail track system. The figure below shows the design and its photocopy
A
10 m
B
F
E
8 m
D
D
С
G
Design
Photocopy
The ratio of CD:GH is 2:3. What is the length, in meters, of side EH on the photocopied image? (5 points)
Answers
Answer:
12 m
Step-by-step explanation:
Given that the design, ABCD, was dilated to get a photocopy, EFGH, a scale factor or ratio was multiplied by the original lengths of the design to get the new measurement of the photocopy.
Thus, we are given the ratio, CD:GH = 2:3.
This means, any of the corresponding lengths of both figures would be in that same ratio.
Using the ratio of the design to the photocopy, 2:3, we can find the length of side EH of the photocopy.
The corresponding side of EH in the design is AD = 8m. Thus, AD to EH = ⅔
[tex] \frac{AD}{EH} = \frac{2}{3} [/tex]
[tex] \frac{8}{EH} = \frac{2}{3} [/tex]
Cross multiply
[tex] 3*8 = 2*EH [/tex]
[tex] 24 = 2*EH [/tex]
Divide both sides by 2 to make EH the subject of formula
[tex] \frac{24}{2} = \frac{2*EH}{2} [/tex]
[tex] 12 = EH [/tex]
The length of side EH = 12 m
Find the length of the given segment.
Find LN
Answers
Answer:
x+10=1/2*(x+2)
2x+20=x+2
20-2= x-2x
x= -18
now,
LN= X+10
= -18+10
= -8
I NEED HELP PLEASE, THANKS! :)
Find the angle θ between u = <7, –2> and v = <–1, 2>.
47.5°
42.5°
132.5°
137.5°
Answers
Answer:
Step-by-step explanation:
Cos θ = u*v
IuI *IvI
u * v = 7*(-1) + (-2)*2
= -7 - 4
= -11
IuI = [tex]\sqrt{7^{2}+(-2)^{2}}\\[/tex]
= [tex]\sqrt{49+4}\\\\[/tex]
= [tex]\sqrt{53}[/tex]
I vI = [tex]\sqrt{(-1)^{2}+2^{2}}\\[/tex]
= [tex]\sqrt{1+4}\\\\[/tex]
= [tex]\sqrt{5}\\[/tex]
Cos θ = [tex]\frac{-11}{\sqrt{53}*\sqrt{5} } \\\\[/tex]
= [tex]\frac{-11}{16.28}\\\\[/tex]
Cos θ = -0.68
θ = 132.5°
A certain shampoo is available in two sizes. A 13.5 ounces bottle cost $2.98. A 29.2 ounce bottle cost $6.12. Find the Unit price for each size. Then state which size is the better buy based on the unit price. Round your answer to the nearest cent
Answers
Answer:
9.2 ounce bottle cost $6.12 is better buy with unit price of $0.22
Step-by-step explanation:
Unit price of any product is given by
unit price = weight of product/ price of product
Given sizes
A
13.5 ounces bottle cost $2.98
cost of 1 ounce of shampoo for this size = cost price/weight of shampoo
cost of 1 ounce of shampoo for this size =2.98/13.5 = $0.22
Unit price for this size is $.022
B
9.2 ounce bottle cost $6.12
cost of 1 ounce of shampoo for this size = cost price/weight of shampoo
cost of 1 ounce of shampoo for this size =6.12/9.2 = 0.66
Unit price for this size is $0.66
As $0.22 is less than $0.66 thus,
9.2 ounce bottle cost $6.12 is better buy.
find two complex numbers whose sum is 12 and whose product is 37.
Answers
Answer:
6 ± i and 6 ± i
Step-by-step explanation:
Let x be the first number.
Let y be the second number.
x + y = 12
x × y = 37
Solve for x in the first equation.
x = 12 - y
Put x as 12-y in the second equation and solve for y.
(12- y)y = 37
12y - y² = 37
- y² + 12y - 37 = 0
y = 6 ± i
Put y as 6 ± i in the first equation and solve for x.
x + 6 ± i = 12
x = 12 - 6 ± i
x = 6 ± i
A man bought a pair of jeans for $23.00 a shirt for $14.00 and two ties for $7.98 each. What was the total cost of his clothing ?
Answers
Answer:
$52.96
Step-by-step explanation:
To find the total cost of his clothing, add up the prices of everything he bought.
Jeans: $23.00
Shirt: $14
Ties: 2 ties for $7.98 each.
Each tie costs $7.98, and the man bought two ties. Therefore, multiply 2 and $7.98
2*$7.98 = $15.96
Add all the prices together.
jeans + shirt + ties
$23 + $14 + $15.96
$37 + $15.96
$52.96
The total cost of his clothing is $52.96
Answer:
total cost=52.96
Step-by-step explanation:
Things he bought:
jeans for $23.00
a shirt for $14.00
two ties for $7.98 each
the total const would be the sum of all his clothes
which is
jeans for $23.00
+shirt for $14.00
+one tie for $7.98
+one tie for $7.98
_______________
total cost=52.96
HOPE IT HELPS :0
PLEASE MARK IT THE BRAINLIEST!
Please answer this correctly
Answers
Answer:
3/20s
Step-by-step explanation:
(06.01 MC) What is the value of the expression shown below? 8 + (7 + 1) 2 ÷ 4 ⋅ (5 points) Select one: a. 7 b. 9 c. 21
Answers
Answer:
b. 9
Just use PEMDAS
A train leaves Station A traveling west at 60 miles per hour for 7 hours, and then continues to travel west on the same track for 3 hours at 55 miles per hour, where it stops at Station B. How far is Station A from Station B?
Answers
Answer: 585 miles
Step-by-step explanation: 60 x 7 for the first 7 hours = 420 miles, then 3 x 55 for the last 3 hours = 165 add them together, 420+265 you get= 585
60 miles per hour x 7 hours = 420 miles
55 miles per hour x 3 hours = 165 miles
Total miles = 420 + 165 = 585 miles
Find f o g and g o f to determine if f and g are inverse functions. If they are not inverses, pick the function that would be the inverse with f(x). f(x) = (-2/x) – 1; g(x) = -2/(x+1)
Choices:
a. g(x) has to be: (1+x)/2
b. g(x) has to be: x/2
c. g(x) has to be: 2 – (1/x)
d. Inverses
Answers
Answer:
Step-by-step explanation:
Hello,
[tex]x = (fof^{-1})(x)=f(f^{-1}(x))=\dfrac{-2}{f^{-1}(x)}-1\\\\<=>f^{-1}(x)(x+1)=-2\\\\<=> f^{-1}(x)=\dfrac{-2}{x+1}[/tex]
and this is g(x)
so they are inverses
Hope this helps