Answer: b) $60.56 per year of age
Step-by-step explanation: If the scatterplot of two variables shows a line and the correlation between them is strong, we can calculate a regression line.
Regression line is a line graph that best fits the data. Like any other line, its formula is given by
y = mx + b
with
m being the slope
b the y-intercept
The slope of the line, correlation and standard deviations of the two variables have the following relationship:
[tex]m=r\frac{S_{y}}{S_{x}}[/tex]
where
r is correlation
[tex]S_{y}[/tex] is standard deviation for the y data
[tex]S_{x}[/tex] is standard deviation for the x data
For our problem:
r = 0.34
[tex]S_{y}=[/tex] 2850
[tex]S_{x}=[/tex] 16
Calculating
[tex]m=0.34(\frac{2850}{16})[/tex]
m = 60.56
Slope for the regression line of annual income per year of age is 60.56.
HELPPPPP I WILL GIVE U THE BRAINLEST!!!!
What is the diameter, if the circumference is 24? Round all answers to the nearest
hundredth.
Find the quotient of: (-20xyz) (5zy)
Answer:
the answer would be -4x
Step-by-step explanation:
dividing (-20xyz) by (5zy) = 3
(6x + 6) + (-3 - 4x)
Answer:
2x+3
Step-by-step explanation:
[tex](6x+6)+(-3-4x)=2x+3[/tex]
write the place value of the 5 in each number. a) 1 325
Answer:
Place Value of 5 in 1325 is 'Thousands'
Simplify completely and find the restrictions on the variable.
Answer:
[tex]\displaystyle \frac{x + 2}{x + 9}, \ x \neq -9, \ 12[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringAlgebra II
DiscontinuitiesDomain RestrictionsStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{x^2 - 10x - 24}{x^2 - 3x - 108}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{(x - 12)(x + 2)}{x^2 - 3x - 108}[/tex][Fraction] Factor denominator: [tex]\displaystyle \frac{(x - 12)(x + 2)}{(x - 12)(x + 9)}[/tex][Fraction] Divide: [tex]\displaystyle \frac{x + 2}{x + 9}[/tex]We know that x cannot equal -9 because we would get a divide by 0 (undefined) error. We also know that x cannot equal 12 because it was canceled out when simplifying.
negative 5x plus 4y equals 3 i need x and y please
Answer:
x = 9
y = 12
Step-by-step explanation:
-5x + 4y = 3
x = 2y - 15
Manipulate the equations such that the coefficients of two variables are additive inverses
-5x + 4y = 3
x = 2y - 15
Inverse operations
-> 4y - 3 = 5x
-> 2y - 15 = x (*(-5))
->4y - 3 = 5x
-> -10y + 75 = -5x
Now add the equations to eliminate a variable,
4y - 3 = 5x
-10y + 75 = -5x
-6y + 72 = 0
Inverse operations
-6y + 72 = 0
72 = 6y
/6 /6
12 = y
Back solve to find (x)
2y - 15 = x
2(12) - 15 = x
24 - 15 = x
9 = x
help pls
Find the volume of the composite solid.
Answer:
80cm3
Step-by-step explanation:
volume of the composite solid=volume of the
pyramid+
volume of the
cuboid
volume of the pyramid=1/3* base area*height
=1/3*5*4*6
=40cm3
volume of the cuboid=base area *height
=5*4*2
=40cm3
volume of the composite solid=40cm3+40cm3
=80cm3
10. If possible, determine whether or not triangles LQP and LMN
are similar. Give a detailed explanation for your answer.
PLEASE HELP!!
Answer:
They are similar
Step-by-step explanation:
If two triangles are similar, the ratio of their corresponding side lengths must be equal to each other.
This means that for ∆LQP and ∆LMN to be considered similar to each other, therefore:
LM/LQ = LN/LP
LM = 100
LQ = 12
LN = 75
LP = 9
LM/LQ = 100/12 = 25/3
LN/LP = 75/9 = 25/3
LM/LQ = LN/LP = 25/3, therefore ∆LQP and ∆LMN are similar to each other because the ratio of their corresponding side lengths are the same.
Factor the common factor out of each expression 64p - 24
Answer: 8(8p-3)
Step-by-step explanation:
64p and 24 are both divisible by 8
64p/8 = 8p
24/8 = 3
8(8p) - 8(3)
Distributive property
8(8p-3)
Find the slope y = 6x-1
Answer: the slope should be 6 I’m sure
Step-by-step explanation:
Answer:
y
=
−
6
x
−
1
Step-by-step explanation:
x-1
15x120 helppp what is this and how do u get the answer
Answer:
if this is regular multiplication the answer is 1,800
Step-by-step explanation:
5-[6-2-(1-8) -3 +6]+5 =
Answer:
-4
Step-by-step explanation:
5 - [6 - 2 - (1 - 8) - 3 + 6] + 5 =
Simplify.
5 - [6 - 2 + 7 - 3 + 6] + 5 =
Subtract
5 - [4 + 7 - 3 + 6] + 5 =
Add
5 - (11 - 3 + 6) + 5
Subtract
5 - (8 + 6) + 5
Add
5 - 14 + 5
Simplify by adding and subtracting.
-4
good luck, i hope this helps :)
Answer:
[tex]sln \\ 5 - (6 - 2 - (1 - 8) - 3 + 6) + 5 \\ 5 - (4 - ( - 7) + 3) +5\\ 5 - (4 + 7 + 3)+5 \\ 5 - (14) +5\\ 5 - 14 \\ - 9[/tex]+5
=-4
I hope this help
2^x=1/128 solve the equation
Answer:
x = − 7
Step-by-step explanation:
y = 4.5*x^2-9*x+8.5;4.5;-9;8.5
-(((-9)^2-(4*4.5*8.5))/(4*4.5))
-(-9/(2*4.5))
4.5*0^2-(0*9)+8.5
(7*x^5-(5*x^7))^(1/2)+1/((7*x^5-(5*x^7))^(1/2))
Which of the following combinations of side lengths will form a triangle with vertices X, Y, and Z?
A. XY = 19 mm, YZ = 11 mm, XZ = 29 mm
В. XY = 19 mm, YZ = 11 mm, XZ = 31 mm
C. XY = 19 mm, YZ = 10 mm, XZ = 30 mm
D. XY = 20 mm, YZ = 11 mm, XZ = 32 mm
It should be C I’m not 100% shor tho
You have 5 cups of fruit punch concentrate. The recipe calls for 3/4 cup of concentrate for one bowl of punch. how many bowls can you make?
Suppose that J and K are points on the number line. If Jk=5 and J lies at -12 where could K be located?
k would be located at
In ΔLMN, the measure of ∠N=90°, MN = 5.6 feet, and NL = 1.7 feet. Find the measure of ∠M to the nearest tenth of a degree
Answer:
M= 16.8868 ≈ 16.9
Step-by-step explanation:
The students at your school are taking a field trip to a science museum 154 miles away. If the school bus traveled 154 miles in 1.9 hours, what would be the speed of the school bus?
Answer.
The school but would have been driving at about 81 miles per hour.
Fun note.
The bus driver would have gotten a speeding ticket on almost all national highways in America if they were going at that speed.
solve the system of equations by using substitution
y=2x-2
2x+y=10
A cereal box says that it now contains 25% more cereal. If it originally had 12 ounces of cereal, how much does it have now?
Answer:
15
Step-by-step explanation:
Answer:
21 ounces.Step-by-step explanation:
This is percentage increase.In order to find that, we simply do:
(100+25)% = 125%
100% = 12 ounces
125% = ?
12*125/100 = 9 ounces
Add it up to the original amount:
12+9 = 21 ounces
Please help ASAP. Thanks so much
Answer:
A
Step-by-step explanation:
Easy method for this question is to plug the point (-1,7)
Plug -1 as x and hope we can get 7
[tex]y =-2(-1+1)^{2}+7\\y=7\\[/tex]
Twice the sum of a number and 7 is equal to three times the difference of the number and 8. Find the number.
Answer:
the number is 10.
Step-by-step explanation:
2(x + 7) = 3(x - 8)
2x + 14 = 3x - 24
2x = 3x -10
x = 10
I'm very confused please help me ASAP
Answer:
The degree of the equation is 5.
Step-by-step explanation:
At first we have a 4 polinomyal expressions. Something happens here that in the third step we only have 2 polynomial expressions.
What is occuring? In this case, we just grab two polynomial and try to reduce the expression to a simple expression (And larger) so, we take the first two polynomial expressions:
(2x + 3) * (x² - 1)
In this case, the first term will multiply the first and second term of the second polynomial expression, and after that, the second term of the first polynomial do the same thing with the other two terms:
(2x * x²) + (2x * -1) + (3 * x²) + (3 * -1)
= 2x³ - 2x + 3x² - 3
Now, we apply the same thing with the other two expressions:
(x + 1) * (x - 2)
= (x * x) + (x * -2) + (1 * x) + (1 * -2)
= x² - 2x + x -2
= x² - x - 2
For the last step, we do the same thing, only that in this case is larger cause we have a bigger expression, but the principle is the same. To get a better understanding I will put every operation by line so you won't get confused:
(2x³ - 2x + 3x² - 3) * (x² - x - 2)
= (2x³ * x²) + (2x³ * -x) + (2x³ * -2)
+ (-2x * x²) + (-2x * -x) + (-2x * -2)
+ (3x² * x²) + (3x² * -x) + (3x² * -2)
+ (-3 * x²) + (-3 * -x) + (-3 * -2)
= (2x⁵ - 2x⁴ - 4x³)
+ (-2x³ + 2x² + 4x)
+ (-3x⁴ - 3x³ - 6x²)
+ (-3x² + 3x + 6)
Simplifying:
= 2x⁵ - 5x⁴ - 9x³ - 7x² + 7x + 6The term with the highest exponent will determine the degree of the equation. So the equation is 5th degree.
Hope this helps
It takes Naomi 4 minutes to run 5 laps. How long does it take her to run 30 laps? Use a table, double number line, tape diagram or another strategy to show your thinking.
(PLEASE ANSWER ITS DUE IN 20 MINUTES!)
Answer: 24 ???
Step-by-step explanation:
4 mins to run 5 ... so im guessing it goes by 5
5 = 4
10 = 8
15 = 12
20 = 16
25 = 20
30 = 24
I am not sure if its right but that what i think ( you can use a table btw one colom that says laps and starts with 5 then the other colom that says mins and starts with 4
Hope its right Good Luck have a good rest of your day
2y = x - 12, solve for X
Someone please help me I’ll give out brainliest please dont answer if you don’t
For married couples living in a certain suburb, the probability that the husband will vote on a bond referendum is 0.21, the probability that the wife will vote on the referendum is 0.28, and the probability that both the husband and the wife will vote is0.15.
A) What is the probability that at least one member of a married couple will vote?
B) What is the probability that a wife will vote, given that her husband will vote?
C) What is the probability that a husband will vote, given that his wife does not vote?
Answer:
a) 0.34 = 35% probability that at least one member of a married couple will vote.
b) 0.7143 = 71.43% probability that a wife will vote
c) 0.0968 = 9.68% probability that a husband will vote
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
This is used for itens B and C. For item a, we treat the probabilities as Venn sets.
A) What is the probability that at least one member of a married couple will vote?
I am going to say that:
Event A: Husband votes.
Event B: Wife votes.
The probability that the husband will vote on a bond referendum is 0.21
This means that [tex]P(A) = 0.21[/tex]
The probability that the wife will vote on the referendum is 0.28
This means that [tex]P(B) = 0.28[/tex]
The probability that both the husband and the wife will vote is 0.15.
This means that [tex]P(A \cap B) = 0.15[/tex]
At least one votes:
This is [tex]P(A \cup B)[/tex], which is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cup B) = 0.21 + 0.28 - 0.15[/tex]
[tex]P(A \cup B) = 0.34[/tex]
0.34 = 35% probability that at least one member of a married couple will vote.
B) What is the probability that a wife will vote, given that her husband will vote?
Here, we use conditional probability:
Event A: Husband votes:
Event B: Wife votes
The probability that the husband will vote on a bond referendum is 0.21
This means that [tex]P(A) = 0.21[/tex]
Intersection of events A and B:
Intersection between husband voting and wife voting is both voting, which means that [tex]P(A \cap B) = 0.15[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.21} = 0.7143[/tex]
0.7143 = 71.43% probability that a wife will vote.
C) What is the probability that a husband will vote, given that his wife does not vote?
Event A: Wife does not vote.
Event B: Husband votes.
The probability that the wife will vote on the referendum is 0.28
So 1 - 0.28 = 0.62 probability that she does not vote, which means that [tex]P(A) = 0.62[/tex]
Probability of husband voting and wife not voting:
0.21 probability husband votes, 0.15 probability wife votes, so 0.21 - 0.15 = 0.06 probability husband votes and wife does not, so [tex]P(A \cap B) = 0.06[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.62} = 0.0968[/tex]
0.0968 = 9.68% probability that a husband will vote
PLZ HELP ASAP
What is the length of MN? Round your answer to the tenths.
Answer:
Can you put the picture of the triangle up
Step-by-step explanation:
I'll change my answer then
DON'T REPORT ME
Answer:
i need a picture to awnser your question
Step-by-step explanation:
What are the values of m and n in each right triangle
Joanna is selling tickets for the school play $he ha$ already $old $35
worth of tickets. $he ha$ seven ticket$ left to sell for $5 per ticket. write
function to describe the total amount of money collected if she sells every single ticket
Answer:
okay, so given we have that she has already sold $35 worth of tickets. We know that she has seven tickets left to sell, and each is worth $5. So, we would do 7×$5=$35
Next, we would add $35(from the previous money she has made) and $35 (the money she just made from the 7 tickets) and that would equal $70
equation: y=35+7(5)
Step-by-step explanation:
I hope this helps! ^^
☁️☁️☁️☁️☁️☁️☁️☁️☁️