Answer:
The answer is
[tex]y = - \frac{3}{5} x + 13[/tex]Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
The original line is 3x + 5y = 11
We must first write the equation in the general equation above
So we have
5y = - 3x + 11
Divide both sides by 5
[tex]y = - \frac{ 3}{5} x + \frac{11}{5} [/tex]Comparing with the general equation above
Slope = - 3/5
Since the lines are parallel their slope are also the same
Slope of parallel line = - 3/5
So the equation of the line using point
(15, 4) and slope - 3/5 is
[tex]y - 4 = - \frac{3}{5} (x - 15) \\y - 4 = - \frac{3}{5} x + 9 \\ y = - \frac{3}{5} x + 9 + 4[/tex]We have the final answer as
[tex]y = - \frac{3}{5} x + 13[/tex]Hope this helps you
Answer:D
Step-by-step explanation:Edge
which fraction represents 56 shares evenly distributed among 12 people
Answer:
14/3
Step-by-step explanation:
When 56 shares are evenly distributed between 12 people, each person gets equal number of shares.
The number of shares gotten by each person is the ratio of the total number of shares to the total number of people. It is given by the formula:
number of shares gotten by each person = total number of shares / total number of people
number of shares gotten by each person = 56 shares / 12 people
number of shares gotten by each person = 14/3 shares
A local brewery produces three premium lagers named Half Pint, XXX, and Dark Night. Of its premium lagers, they bottle 40% Half Pint, 40% XXX, and 20% Dark Night lagers. In a marketing test of a sample of consumers, 27 preferred the Half Pint lager, 29 preferred the XXX lager, and 24 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, decide to retain or reject the null hypothesis that production of the premium lagers matches these consumer preferences using a 0.05 level of significance. State the value of the test statistic. (Round your answer to two decimal places.) $ \chi_{obt}^2 $
Answer:
reject the null hypothesis
Step-by-step explanation:
Total observation = 27+49+24 = 100
Expected Frequency :
Half Pint = 100 × 0.4 = 40
XXX = 100 × 0.4 = 40
Dark night = 100 × 0.2 = 20
The Chi-square goodness-of-fit test can be computed as follows:
Observed Expected [tex]X^2 = \dfrac{(O- E)^2}{E}[/tex]
Frequency(O) Frequency (E)
Half- 27 40 4.225
Pint
XXX 29 40 3.025
Dark- 24 20 0.8
night
Total 100 100 8.05
The test statistics [tex]X^2[/tex] = 8.05
8.05
degree of freedom = n -1
degree of freedom = 3 - 1
degree of freedom = 2
The p-value can be computed by using the EXCEL FORMULA (=CHIDIST(8.05,2)
p-value = 0.01786
Since the p-value is less than the level of significance, we reject the null hypothesis
Also using the critical value approach from the EXCEL FUNCTION;
critical chi-square (=CHIINV(0.05,2) = 5.99
[tex]X^2 > 5.99[/tex], therefore, we reject the null hypothesis
a rectangle is 41 cm on one side and 12 cm on the other side.what is the perimeter?
Answer:
106
Step-by-step explanation:
Find the point (x1,x2) that lies on the line x1 +5x2 =7 and on the line x1 - 2x2 = -2.
Given :
Two equation [tex]x_1 +5x_2 =7[/tex] and [tex]x_1 - 2x_2 = -2[/tex] .
To Find :
The point of intersection of these lines .
Solution :
We will use elimination method :
From equation 1 :
[tex]x_1=7-5x_2[/tex]
Putting value of [tex]x_1[/tex] in equation 2 we get :
[tex](7-5x_2)-2x_2=-2\\\\7-7x_2=-2\\\\x_2=\dfrac{9}{7}[/tex]
Putting value of [tex]x_2[/tex] in equation 1 we get :
[tex]x_1+5\times \dfrac{9}{7}=7\\\\x_1=\dfrac{4}{7}[/tex]
Therefore , point of interaction is [tex](\dfrac{4}{7},\dfrac{9}{7})[/tex] .
Hence , this is the required solution .
The point is: [tex]\left(x_{1},x_{2}\right)=\left(\frac{4}{7},\frac{9}{7}\right)[/tex]
We will solve the given system of equations.
Subtract the second equation from the first one:
[tex]\left(x_{1}+5x_{2}\right)-\left(x_{1}-2x_{2}\right)=7-\left(-2\right)\\x_{1}+5x_{2}-x_{1}+2x_{2}=7+2\\7x_{2}=9\\x_{2}=\frac{9}{7}[/tex]
Then we plug [tex]x_{2}=\frac{9}{7}[/tex] in the given first equation.
[tex]x_{1}+5x_{2}=7\\x_{1}+5\left(\frac{9}{7}\right)=7\\x_{1}+\frac{45}{7}=7\\x_{1}=7-\frac{45}{7}\\x_{1}=\frac{4}{7}[/tex]
So the point is: [tex]\left(x_{1},x_{2}\right)=\left(\frac{4}{7},\frac{9}{7}\right)[/tex]
Learn more: https://brainly.com/question/16236436
Frank needs 3.6 meters of ribbon to wrap gifts for friends this year. If each spool contains 90 cm of ribbon,how many spools will Frank need to purchase?
Answer:a lot
Step-by-step explanation:
Which type of cell contains Cell Membrane?
Answer:
Eukaryotic cells contain cell membrane!
driving 85 miles in 5/6 of a hour how many miles per hour
Hey there! I'm happy to help!
To get 5/6 to 1, you multiply by 6/5. This means that to see your mph, you multiply 85 by 6/5!
85(6/5)=102
The speed is 102 mph.
Have a wonderful day! :D
4+y when y = 18 would the answer be 22
Yes you are correct.
You replace y with 18 to get 4+y = 4+18 = 22.
Help i dont understand Pls help :( Given g(x)=-4x-2g(x)=−4x−2, find g(-2)g(−2).
Answer:
[tex]g(-2)=6[/tex]
Step-by-step explanation:
Hi again!
So we have the equation:
[tex]g(x)=-4x-2[/tex]
To find g(-2), substitute -2 for x. Thus:
[tex]g(-2)=-4(-2)-2[/tex]
Multiply. -4 times -2 is positive 8:
[tex]g(-2)=8-2[/tex]
Subtract:
[tex]g(-2)=6[/tex]
And we're done!
a. Plot 13.58 on a number line on which the long
tick marks are whole numbers.
b. Plot 0.193 on a number line on which the long
tick marks are tenths.
c. Plot 26.9999 on a number line on which the
long tick marks are thousandths.
Answer:
Se attached for plots and here is position of the numbers:
a. Plot 13.58 on a number line on which the long
tick marks are whole numbers.
13 < 13.58 < 14b. Plot 0.193 on a number line on which the long
tick marks are tenths.
0.1 < 0.193 < 0.2c. Plot 26.9999 on a number line on which the
long tick marks are thousandths.
26.999 < 26.9999 < 27.00063x^12-35x^6 help pls
Answer:
7x^6×(9×^6-5)
Step-by-step explanation:
63x^12-35x^6
7x^6×(9×^6-5)
Answer:I dont know
Step-by-step explanation: Can you pls rate this good I am in 2 grade
Plot the point then draw the shape
they create. What shape does it
create?
(2,5)
(7, 1)
(5,5-)
(-1,-5)
(-3,1)
Find the population mean or sample mean as indicated.Sample: 19, 15, 6, 11, 24Required:Compute the sample mean for this data set.
Answer:
The sample mean is 15.
Step-by-step explanation:
We have given data 19, 15, 6, 11, 24.
We are required to find the sample mean. The sample mean can be determined by adding all the given value and then divide by the total numbers or how many numbers. Below is the calculation of the mean.
Sample mean = (19+ 15 +6 +11 +24) / 5
Sample mean = 75 / 5
Sample mean = 15
Therefore the sample mean of the given data is 15.
A car drives with an average velocity of 20.1 m/s . After some time, it has traveled 34.2 km. How long has the car been traveling?
Answer:
time = distance / velocity
time = 34,200 meters / 20.1 meters per second
time = 1,701.4925373134 seconds
time = 28.36 minutes
Step-by-step explanation:
Find the area and perimeter of a court with dimensions of 50ft by 84ft.
Answer:
Area: 4200
Perimeter: 268
Step-by-step explanation:
To find the area, multiply length and width (50 x 84)
To find perimeter, add up the lengths of all the sides (50+50+84+84)
Hope this helps!
What is represented by the number below the abbreviation of the element in the periodic table? The atomic mass The atomic number The melting point The valence number
Answer:
Atomic Mass
Step-by-step explanation:
Correct answer as per the test
The abbreviation of the element in the periodic table will be atomic number. Then the correct option is B.
What is a periodic table?An arrangement of atoms by their atomic numbers, often in rows, such that atoms with comparable atomic structures (and thus comparable chemical characteristics) are shown in vertical slats.
The abbreviation of the element in the periodic table will be atomic number.
Then the correct option is B.
More about the periodic table link is given below.
https://brainly.com/question/11155928
#SPJ2
The temperature in a town is 24.8 during the day and -8.1 at night. Find the difference in the temperatures.
The difference is exactly 32.9 degrees
this is rlly easy but im lazy and dont wana answer it, i mark brainliesttttt tyyy ❤️
Answer:
C and D is correct
Step-by-step explanation:
C: Debit is negative, and if you add 27 to -14, you get 13 which is Maria's account.
D: Its the same thing but opposite. 13 minus 27 is -14.
♡ Hope it helps ♡
Answer:
both c and d
Step-by-step explanatioin
nobody is answering my question so im saving up like 100 points so someone will actually do it so ye
David and Amrita had an equal number of marbles. After Amrita gave 50 marbles to David, he had 5 times as many marbles as her. Find the total number of marbles they had.
Answer:
Step-by-step explanation:
a = d before Anna gives away 50 marbles.
5 (a-50) = a +50 after Anna gives away 50 marbles.
5a - 250 = a + 50
4a = 300
a = 75
Anna has 75 marbles at the beginning and so did David.
Together they have 150 marbles.
:)
Answer:
150
Step-by-step explanation:
Originally, they had the same number, so they both had x marbles each.
David: x
Amrita: x
Amrita gives 50 marbles to David. Now they have:
David: x + 50
Amrita: x - 50
"he had 5 times as many marbles as her"
x + 50 = 5(x - 50)
x + 50 = 5x - 250
-4x = -300
x = 75
Each had 75 marbles to start with.
75 + 75 = 150
The total is 150.
15 = x + 13
which property could be used to solve this equation
Steps to solve:
15 = x + 13
~Subtract 13 to both sides
2 = x
Best of Luck!
A blueprint for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. The actual dimensions of the building are 30 feet long by 55 feet wide. true or false
1 inch = 10 feet.
3 inches x 10 = 30 feet
5.5 inches x 10 = 55 feet
The actual room is 30 feet x 55 feet.
The answer is true.
Answer:
Round up to the Nernst number
Step-by-step explanation:
45 inches
3
Type the correct answer in each box. Use numerals instead of words.
Complete the table of inputs and outputs for the function.
f(x) = -5(x + 7)
-9
0
0
-60
Reset
Next
Answer:
(-9,10),(-7,0)(0,-35)(5,-60)
Step-by-step explanation:
plz help quicky.......................................
historians label an event as a turning point when it
Answer:
F
Step-by-step explanation:
Answer:
Historians label an event as a turning point when it marks the beginning of a distant historical period
Step-by-step explanation:
what is the 3rd square root of 1000
Answer:
10
Step-by-step explanation:
The third square root is the cube root. This means we are looking for the number that multiplies by itself 3 times to get to 1000, which is 10. (10x10x10=1000)
Hope this helped!
Guess and win math cash 0 and 99999
Answer:
12345
Step-by-step explanation:
乁[ ◕ ᴥ ◕ ]ㄏฅ^•ﻌ•^ฅ▼・ᴥ・▼
0-99999
(IT COULd Be aNy?) This writing was a joke. BUT WHAT IS THE ANSWER!!!!!!!!
how do i estimate .48
To estimate, we can round to the nearest tenth.
How to round:
5 and above, round up.
4 and below, round down.
0.48 -> 0.5
Best of Luck!
PLEASE HELP ME I WILL MARK AS BRAINLIEST ANSWER
A map has a scale of
6 in=12 mi. If you measured the distance between two cities to
be 22 in. on the map, how many miles would it actually be?
If necessary, round your answer to the nearest tenth.
Answer:
The answer is 264
Step-by-step explanation:
We start with a ratio of inches to miles- 6:12
we see that it can be simplified to 1:2
if we see that on the map it is 22in, 22:?
we got 1 to 22 by multiplying 1*22=22
do the same to the 12: 12*22=264
Ahmed wrote two numbers the first number has a seven and it’s tenths place the second number has a seven with a value that is 1000 times greater than the value of the seven in the first in which place is a seven and the second number
Answer: I think the answer is thousands
Step-by-step explanation:
Answer:
100,000
Step-by-step explanation:
first # = 70, 2 digits
second # = 1,000 times greater than 70 1,000 = 4 digits
4 + 2 = 6, 100,000 = 6 digits
Solve for x: 3(x + 1) = −2(x − 1) − 4. (1 point)
Answer:
X=2.5 (btw im a rising 5th grader just saying) i hope i helped u
Step-by-step explanation:
3x+3=-2x+2-4 (get rid of the parenthesis)
+2x +2x (get rid of 2x)
5x+3=2-4
+4 +4 (get rid of 4)
5x+7=2
-7 -7 (get rid of 7)
5x=2
5/2=2.5 (solve)