angle 6 and angle 7 form a linear pair . Twice the measure of angle 6 is twelve more than four times the measure of angle 7 . Find the measure of each angle
Answer:
m∠7 = 58°
m∠6 = 122°
Step-by-step explanation:
Linear Pairs add up to equal 180°.
Step 1: Define
m∠6 + m∠7 = 180°
2m∠6 = 4m∠7 + 12
Step 2: Rewrite systems of equations
I will set m∠6 = x and m∠7 to y
x + y = 180°
2x = 4y + 12
Step 3: Rewrite 2nd equation
2x = 2(2y + 6)
x = 2y + 6
Step 4: Use Substitution
2y + 6 + y = 180
3y + 6 = 180
3y = 174
y = 58°
Step 5: Find x by plugging y back into an original equation
x + 58 = 180
x = 122°
Step 6: Rewrite
x = m∠6
y = m∠7
m∠6 = 122°
m∠7 = 58°
2 hours of childcare cost $25.4 hours costs $60. fit a linear function to the data points
(x)=x^2 ∛x, then f' (-8)= - 17853341
8(-3)
Answer my question
Answer:
-24
Step-by-step explanation:
8(-3) is 8 multiplied by (-3) and thus the answer is -24
Answer:
the answer is -24 hope I helped
Pleasee help
Jenny is on her way home in her car. She has driven 12 miles so far, which is two-thirds of the way home. What is the total length of her drive?
miles
Answer:
18 miles would be how many miles it takes to do the whole drive.
Step-by-step explanation:
Solve for s.
Give an exact answer.
63 – 4 = 8 (2+1/4s)
Answer:
exact form: 43/2
decimal form: 21.5
mixed number form: 21 1/2
Step-by-step explanation:
i have no idea ahahahahhahahahha
Answer: " s = 21. 5 " ; or, write as: " s = [tex]21\frac{1}{2}[/tex] "
____________________________
Step-by-step explanation:
____________________________
Given:
63 – 4 = 8 (2+1/4s) ; Solve for: "s" ;
Note: Rewrite the equation:
↔ 8 (2+1/4s) = 63 - 4 ; (commutative property);
Start with the "right-hand side" of the equation:
" 63 − 4 " ; which equals: " 59. "
___________________________
Rewrite the equation:
___________________________
→ 8 (2 + 1/4s) = 59 ;
Now, let us examine the "left-hand side" of the equation:
" 8 (2 + 1/4s) " ;
Note the "distributive property" of multiplication:
a(b + c) = ab + ac ;
As such:
" 8 (2 + 1/4s) " ;
= (8×2) + (8× 1/4s) ;
= 16 + 8/4s ;
= 16 + 2s ;
Now, rewrite the equation:
16 + 2s = 59 ; Subtract "16" from each side of the equation:
16 + 2s − 16 = 59 − 16 ;
to get: 2s = 43 ;
Now, divide each side of the equation by "2" ;
to isolate "s" on one side of the equation; & to solve for "s" ;
2s / 2 = 43 / 2 ;
to get:
s = 21. 5 ;
or; write as " [tex]21 \frac{1}{2}[/tex] " .
___________________________
Hope this answer—and explanation—helps you!
Best of luck to you!
___________________________
For each situation, identify which sampling method should be used.(simple random, stratified, cluster, or a systematic sample). (a) A farmer has 44 plots of land for growing corn. He is concerned that the variation in yield between plots will vary but not within plots. (b) Out of the 18 sections of Calculus, the chair of the math department randomly selects 4 sections. He then gives students in two of the four sections a paper exam, while the other two sections receive an online exam. Scores were then compared. (c) A class of 250 students is numbered from 1 to 250, and a table of random digits is used to choose 55 students from the class. What type of sampling is used to select the group of students
The question is incomplete. Here is the complete question.
For each situation identify which sampling method should be used. (simple random, stratified, cluster or systematic sample)
(a) A farmer has 44 plots of land for growing corn. He is concerned that the variation in yield between plots will vary but not within plots.
(b) Out of the 18 sections of Calculus, the chair of the math department randomly selected 4 sections. He then gives students in two of the four sections a paper exam, while the other two sections receive an online exam. Scores were then compared.
(c) A class of 250 students is numbered form 1 to 250 and a table of random digits is used to choose 55 students from the class. What type of sampling is used to select the group of students?
(d) In a factory producing television sets, every 100th set produced is inspected.
Answer and Step-by-step explanation:
Situation in (a) is called Cluster, where researchers divide the population into multiple groups. They analyze a sample of multiple sample parameters. The method is used when the groups that are internally different but are very similar form a population.
Situation in (b) is the method called Stratified, in which, a researcher finds difficult to analyse an entire population. So he/she divides this population into homogenous groups called strata (or stratum for plural) Fform each subgroup a random sample is selected.
Situation in (c) is the Sample Random: every item in the entire population has the same chance of being selected to create a sample.
Situation in (d) is the Systematic Sample, in which the sample is selected according to a starting position with a fixed periodic interval, as described in the situation.
The perimeter of a rectangle is 200m. The length is 50m longer than the width. What are the dimensions of the rectangle?
Answer:
100m by 50m
Step-by-step explanation:
50m x 2 = 100m
200m - 100m = 100m
100/2 = 50m
Width = 50m
Dimensions: 100m by 50m
Please mark Brainliest, thank you!
x/4 =9/10 i cant figure it out
Answer: x = 18/5
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Solve 7x-2y=11 for y
Answer:
y = 7/2x -11/2
Step-by-step explanation:
7x-2y=11
Subtract 7x from each side
7x-2y -7x = -7x+11
-2y = -7x+11
Divide each side by -2
-2y/-2 = -7x/-2 +11/-2
y = 7/2x -11/2
Answer:
y = 7/2x - 11/2
Step-by-step explanation:
7x - 2y = 11
Subtract 7y to both sides
-2y = 11 - 7x
Divide -2 to both sides
y = 11/-2 - 7/-2x
Best of Luck!
The ratio of men to women working for a company is 5 to 7. If there are 126 women working for the company, what is the total number of employees?
Answer:
There are 216 employees
Step-by-step explanation:
First you divide 126 by 7 (number of women) and you get 18 then you times that by 5 (total number of men) and you get 90 finally you add 90 (men) and 126 (women) to get 216 employees in total.
How do I solve these questions?
Answer:
멍청한 멍청이 인 줄 몰라 다시 묻지 마요 포인트 만 있으면 돼 멍청한 학교 질문에 답하고 싶지 않아요 멍청한 멍청이
Step-by-step explanation:
멍청한 멍청이 같은 또 다른 질문은하지 말아요.
A sample space contains six sample points and events A, B, and C as shown in the Venn diagram. The probablities of the sample points are P(1)=0.15, P(2)=0.15, P(3)=0.15, P(4)=0.2, P(5)=0.15, P(6)=0.2.
Use the Venn diagram and the probabilities of the sample points to find:
P(B|C)
P(B¯¯¯¯|C¯¯¯¯)
Answer:
(a) 0.65
(b) 3/7
(c) 6/13
Step-by-step explanation:
(a) P(C') = 1 - p(5) -p(6) = 1 - 0.15 - 0.2
P(C') = 0.65
__
(b) P(B|C) = P(BC)/P(C) = P(5)/(P(5)+P(6)) = 0.15/(0.15 +0.2)
P(B|C) = 3/7
__
(c) P(B'|C') = P(B'C')/P(C') = (P(1) +P(2))/0.65 = (0.15+0.15)/0.65
P(B'|C') = 6/13
(MARKING BRAINLIEST} Write an equation of the line that satisfies the given conditions:
20. m=1/3 b=4
21. m=-1/4 passes through (3,6)
22. passes through (4,-2) and (0,4)
Answer:
20. y = 1/3x +4
21. y -6 = -1/4(x -3)
22. 3x +2y = 8
Step-by-step explanation:
Different forms of the equation of a line can be useful for these different forms of the problem of finding the equation.
20. Given the slope and y-intercept, the slope-intercept form is useful.
y = mx + b
y = 1/3x + 4
__
21. Given a slope and a point, the point-slope form of the equation is useful.
y -k = m(x -h) . . . . line with slope m through point (h, k)
y -6 = -1/4(x -3)
__
22. Given 2 points, the 2-point form of the equation of a line is useful.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (4 -(-2))/(0 -4)(x -4) -2
y = -6/4(x -4) -2
y = -3/2x +6 -2
3x +2y = 8 . . . . . . add 3/2x and multiply by 2 (standard form)
_____
Additional comment
The question asks for "an equation", not "the equation", so we assume that any form is suitable. You may find that your grader will only accept a particular form (usually, point-slope form), so you may have to manipulate these into that form to satisfy your grader.
A girl travels 40 kilometers on her bicycle. The trip takes 2 hours. Express her speed in kilometers/hr.
Answer:
20 kilometers an hour
Step-by-step explanation:
Decide wheather the Change is an increase or decrease and find the percent change original number =45 new number =18
Answer:
40% decrease
Step-by-step explanation:
The required percentage change from number 45 to number 18 is given as 60%.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
The change is observed as a decrease because the new number is 18 which is less than the original number 45.
To find the percent change, you can use the formula:
Percent change = (difference / original number) × 100
where difference = original number - new number
Plugging in the given values, you get:
difference = 45 - 18 = 27
Percent change = (27 / 45) × 100 = 60%
Thus, the percent change is a 60% decrease.
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what is the upper and lower quartile of this set of data?
15, 19, 10, 15, 31, 38, 41
-Lower Quartile: 19
Upper Quartile: 25
-Lower Quartile:25
Upper Quartile:38
-Lower Quartile:19
Upper Quartile: 38
-Lower Quartile:15
Upper Quartile:41
Answer:
lower quartile: 19
upper quartile: 38
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
The difference of the present ages of two sister in 5 yrs
After 4yrs if the product of their age becomes 104. fine
their present age-
Answer:
4 and 9
Step-by-step explanation:
let their ages be x and x - 5, then in 4 years their ages will be
x + 4 and x - 5 + 4 = x - 1 , and the product is 104, thus
(x + 4)(x - 1) = 104 ← expand factors on left using FOIL
x² + 3x - 4 = 104 ( subtract 104 from both sides )
x² + 3x - 108 = 0 ← in standard form
(x + 12)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 12 = 0 ⇒ x = - 12
x - 9 = 0 ⇒ x = 9
However, x > 0 ⇒ x = 9
Thus
Their present ages are 9 and 9 - 5 = 4
what is 45.803 in expaned form
Answer:
40
+ 5
+ 0.8
+ 0.00
+ 0.003
Step-by-step explanation:
Solve the inequality graph the solution set and write it in interval notation x-6<5(x+2)
Answer:
x>-4
Step-by-step explanation:
x-6>5x+10
x-5x>10+6
-4x<16
x<16/-4
x<-4
Explain the difference between the average rate of change of y as x changes from a to b, and the instantaneous rate of change ofy at x=a.
A. The average rate of change of y as x changes from a to b can be found using the formula , where yf(x). The instantaneous rate of change of y at xa is found by taking the limit as b approaches a of the stated formula.
B. The average rate of change of y as x changes from a to b can be found by using the formula , where yf(x). The instantaneous rate of change of y at xa is found by taking the limit as b approaches a of the stated formula.
C. The instantaneous rate of change of y at xa can be found by using the formula , where yf(x). The average rate of change of y as x changes from a to b is found by taking the limit as b approaches a of the stated formula.
D. The instantaneous rate of change of y at xa can be found using the formula , where yf(x). The average rate of change of y as x changes from a to b is found by taking the limit as b approaches a of the stated formula.
The given options are not clear enough, so i have attached the full question with the correct options.
Answer:
Option A:
Average rate of change=[f(b) - f(a)]/(b-a)
Instantaneous rate of change of y at x = a is found by finding the limit as "b" approaches "a"
Step-by-step explanation:
The average rate of change of a function f(x) on an interval [a, b] is defined as the slope of the secant line, which is calculated by the formula;
[f(b) - f(a)]/(b - a)
While the instantaneous rate of change of f(x) at x = a is defined as the slope of the tangent line, which is calculated by finding the limit as "b" approaches "a". This is written as; f'(a) .
Looking at the options, the correct answer is option A.
Choose the answer that best represents the situation described below.
Tammy takes a job after school to earn money to buy a violin. She knows that
the more hours she works, the more money she will make.
A. Tammy's job is a function of her interest in music.
B. The number of hours Tammy works is a function of the amount of
money she makes.
C. The amount of money Tammy makes is a function of the number
of hours she works.
Answer:
A
Step-by-step explanation:
b3cause in the passage belo
Put these in order from least to greatest. -3.16.-.-3 2 -3.16. - 10. -3 -35 -3.5 . - 3.16.
Answer:
-35, -10, -3.16, -3.16, -3.5, -3
Step-by-step explanation:
Find the greatest common factor of 80 and 20.
Answer:
20
Step-by-step explanation:
The factors of 20 are 1, 2, 4, 5, 10, and 20. The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. You can see that they have some of the same factors, but the greatest they share is 20
The greatest common factor of 80 and 20 is 20.
What are factors?In Mathematics, factors can be defined as the fundamental building blocks of a number. This ultimately implies that, factors simply refers to numbers which can be multiplied together to get another number.
The factors of 20 include the following: 1, 2, 4, 5, 10, and 20.
The factors of 80 include the following: 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.
By critically observing the factors above, we can logically deduce that the greatest common factor of 80 and 20 is equal to 20.
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A bowl weighs 11/40 lb. Express this as a decimal. Use pencil and paper. Explain how you can find the decimal by thinking of the denominator as a 4 and then using mental math.
Answer:
0.275 thats the answer no cap
Step-by-step explanation:
The decimal form of the given fraction is 0.275 lb.
Given that, a bowl weighs 11/40 lb.
We need to express the given fraction in decimals.
How to convert the fraction into a decimal?When a number is present in a fraction form i.e., p/q, we use the long division method to convert it into a decimal form. In such a case we divide the numerator by the denominator. Let us understand the steps involved in fraction to decimal conversion by the long division method with the help of an example.
Now, the fraction 11/40 can be written in decimal as 11/40=0.275 lb
Therefore, the decimal form of the given fraction is 0.275 lb.
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Do the political leanings of a network affect the news they report? During the the 2018-2019 Government shutdown, a left-leaning news network and a right-leaning network both polled voters to ask who they thought was responsible for the shutdown. All together, 56% of the poll respondents said they thought President Trump was most responsible for the shutdown, while 44% thought others were most responsible. Assume that the left-leaning network polled 900 voters and the right-leaning network polled 1100 voters. If the polling data reported by two news networks are independent of their political inclinations, how many American registered voters would we expect to say that President Trump was responsible according to the left-leaning news network?
Answer:
504
Step-by-step explanation:
We are solving for the left leaning poll
Total voters = 900 + 1100
= 2000
Number of voters who say trump was responsible = 56percent x 2000
= 1120
Number of those who say otherwise = 44% x 2000
= 880
For this network
Those who say trump is responsible = 1120 x900/2000
= 1008000/2000
= 504 registered voters
What is the distance from M(9,-4) to NC-1, -2)?
Answer:
Exact Form: 2√26
Decimal Form: 10.19803902 …
Step-by-step explanation:
The measure of an angle is 80. What is the measure of its complementary angle
Answer:
10
Step-by-step explanation:
how do people go crazy?
Answer:
sometimes the cause is, psychological issues, drugs, self harm, trauma and many others.
Step-by-step explanation:
A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that whenever this process is in control, package weight is normally distributed with a mean of 20 ounces and a standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each: Day Weight (ounces) Monday 23 22 23 24 Tuesday 23 21 19 21 Wednesday 20 19 20 21 Thursday 18 19 20 19 Friday 18 20 22 20 What is the standard deviation of the sampling distribution of sample means for whenever this process is in control?
Answer:
1 ounce
Step-by-step explanation:
Given that :
mean = 20 ounces
standard deviation = 2 ounces
sample size = 4 ounces
The standard deviation of the sampling distribution = [tex]\dfrac{Standard \ deviation}{\sqrt{sample \ size}}[/tex]
= [tex]\dfrac{2}{\sqrt{4}}[/tex]
= 2/2
= 1 ounce
.What is the probability of two 6 sided diced rolled, adding up to lucky 13
Answer:
0
Step-by-step explanation:
Assuming the six sided dice are numbered 1 through six
The max each could roll is 6
6+6 = 12
They cannot reach a sum of 13
