Answer:
y = -7x - 9Step-by-step explanation:
The standard from of equation of a line is expressed as;
y = mx+c
m is teh slope = -7
c is the intercept
Get the intercept by substituting m = -7 and the point (-2, 5) into the equation;
y = mx+c
5 = -7(-2) + c
5 = 14 + c
c = 5-14
c = -9
Substitute m = -7 and c = -9 into the expression y = mx+c
y = -7x - 9
Hence the required equation of the line is y = -7x - 9
21) A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two different companies. Group members took a random sample of 18 toothbrushes from Company A and 15 from Company B. Each was charged overnight and the number of hours of use before needing to be recharged was recorded. Company A toothbrushes operated for an average of 119.7 hours with a standard deviation of 1.74 hours; Company B toothbrushes operated for an average of 120.6 hours with a standard deviation of 1.72 hours. The 90% confidence interval is (-1.93, 0.13). The correct interpretation is
Answer:
We accept H₀ we don´t have evidence of differences between the two toothbrushes
Step-by-step explanation:
Toothbrushes A
Sample mean μₐ = 119,7
Standard deviation sₐ = 1,74
Sample size nₐ = 18
Toothbrushes B
Sample mean μ₀ = 120,6
Standard deviation s₀ = 1,72
Sample size n₀ = 15
With CI = 90 % CI = ( -1,93 ; 0,13 ) that s the acceptance region for H₀
Test hypothesis is
H₀ μₐ = μ₀
Hₐ μₐ ≠ μ₀
We need to calculate t(s) as
t(s) = ( μₐ - μ₀ ) /Sₓ * √ (1/nₐ) + 81/n₀)
and see if it is insde CI
Sₓ = (nₐ - 1 ) * sₐ² + ( n₀ - 1 ) * s₀² / nₐ + n₀ - 2
Sₓ = 17*3,03 + 14*2,96 / 31
Sₓ = (51,51 + 41,44 )/ 31
Sₓ = 2,998
t(s) = 0,9 / 2,998*√(1/18) + (1/15)
t(s) = 0,9 / 1,04
t(s) = 0,87
Tara's graduation picnic costs $2 for every attendee. Write an equation that shows the
relationship between the attendees x and the cost y.
Answer:
y = 2x
Step-by-step explanation:
Y = 2x
`y=2x+1` was a positive slope because...
Answer:
☆This is because ascending, not descending when looking on a graph.
☆The slope's number is a positive number.
kristen and brett found three different deals on the same smart tv they want to figure out which deal is better before tax
1.Original Price: $320
Discount: 15% off
2.Original Price: $349.99
Discount: 75% off
3. Original Price: $360
New Price: $280
Answer:
Option 2 would be the better deal, as long as they would only pay $ 87.37 for the smart TV.
Step-by-step explanation:
To determine which deal is better before taxes, the aforementioned discounts must be made at the original prices and their results compared, through the following calculations:
1)
320 - (320 x 15/100) = X
320 - 48 = X
272 = X
2)
349.49 - (349.49 x 75/100) = X
349.49 - 262.11 = X
87.37 = X
3)
280 = X
Therefore, as can be seen, option 2 would be the better deal, as long as they would only pay $ 87.37 for the smart TV.
The length of a room is 2 metre longer than its breadth if the area of the room is 63 square metre find the length and the breadth of the room
Answer:
7 metre
Step-by-step explanation:
Let the breadth of the room is x.m. , then the length is (x+2).m. , accordingly:-
(x+2).x. = 63.
or, x^2 +2 x - 63 = 0.
or, (x + 9).(x -7) =0.
or, x = - 9 (not valid) , 7 .
Thus , the length = (x+2).m.= (7+2) = 9.m. , breadth = x .m. = 7.m. , Answer.
hope it helps! please mark me brainliest..
Merry Christmas good day
In a remote village, a person used five beaver pelts
Answer:
what're we supposed to do?
Step-by-step explanation:
help pls (fill in the blank)
solve - 9/2y=27/2 for y.
Answer:
It’s y = 3
Step-by-step explanation:
Solve for y by simplifying both sides of the equation, then isolating the variable.
Plot the points O(0,0) R(1,4) C(−4, −1)and K(−4, 8)to form triangles ∆ORK and ∆OCK. Decide the relationship between m∡KOC and m∡KOR. Be sure to justify with any algebra and theorems !
Answer:
i think its c
Step-by-step explanation:
Help me like seriously I don’t understand this at all
Answer:
option C
Step-by-step explanation:
Group common terms
8u³+7u³+7u²-6u+6+6
15u³+7u²-6u+12
LOOK AT PICTURE, WHOEVER HAS CORRECT ANSWER, I WILL MARK BRAINIEST :)
Answer:
C is the answer?
can someone help me please i don't understand the process
Answer:
Yes, because a triangle can have any lengths.
Help Please 10 pointsssssssss
Answer:
A is false
Step-by-step explanation:
A triangle can be drawn with exactly 1 acute angle. FALSE
A triangle can be drawn with exactly one right angle. TRUE
A triangle can be drawn with more than one acute angle. TRUE
A triangle can be drawn with exactly one obtuse angle. TRUE
If 2 angles are vertical and one angle is 44 degrees,find the other angle?
Answer:
Step-by-step explanation:
Then the other angle must be 44 degrees as well.
Priya is sharing 24 apples equally with some friends. She uses division to determine how many people can have a share if each person gets a particular number of apples. For example, 24 ÷ 4 = 6 means that if each person gets 4 apples, then 6 people can have apples. Here are some other calculations:
Answer:
1 apple: 24 people
2 apples: 12 people
3 apples: 8 people
4 apples: 6 people
6 apples: 4 people
8 apples: 3 people
12 apples: 2 people
24 apples: 1 person
Step-by-step explanation:
The number of 6 people can have 4 apples each.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Priya is sharing 24 apples equally with some friends.
She uses division to determine how many people can have a share if each person gets a particular number of apples.
For example, 24 ÷ 4 = 6 means that if each person gets 4 apples,
then 6 people can have apples,
= 24 ÷ 6
= 4
Therefore, 6 people can have 4 apples.
To learn more about the division;
https://brainly.com/question/13263114
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Solve for x and then part b) find JL. Have no clue how to go about this
9514 1404 393
Answer:
x = 4JL = 16Step-by-step explanation:
a) You go about this by using the given equation.
Left + Right = Total
JK + KL = JL
(2x -3) + 11 = 4x
8 = 2x . . . . . simplify, subtract 2x
4 = x . . . . . . divide by 2
__
b) JL = 4x = 4·4
JL = 16
How many work cycles should be timed to estimate the average cycle time to within 5 percent of the sample mean with a confidence of 99.0 percent if a pilot study yielded these times (minutes): 4.0, 4.5, 5.0, 4.5, 4.5, and 4.0
Answer:
Following are thew solution to this question:
Step-by-step explanation:
Please find the complete question in the attached file.
Using formula:
[tex]\text{Margin of error} = \frac{(z \times \sigma) }{\sqrt{n}}[/tex]
n = the number of work cycles for 95 confidence interval
z-score = 1.96
So, [tex]\frac{(z \times \sigma)}{\sqrt{n}}[/tex] = [tex]\ Mean \times 0.02[/tex]
[tex]\frac{(1.96 \times 0.376)}{\sqrt{n}} = 4.416666667 \times 0.02 \\\\\\[AVERAGE(4,4.5,5,4.5,4.5,4) = 4.416666667][/tex]
[tex]\sqrt{n} = \frac{(1.96 \times 0.376)}{(4.416666667 \times 0.02)} \\\\[/tex]
[tex]= 8.342943396\\\\[/tex]
[tex]n = 69.6047045[/tex]
[tex]= 70[/tex]
Using the sample size formula, the number of samples required is 919.
Standard deviation, σ = 0.376From the data given :
Mean = (4 + 4.5 + 5 + 4.5 + 4.5 + 4) / 6 = 4.417Standard deviation = 0.376Using the sample size relation thus:
[tex] n = (\frac{T_{critical}σ}{E})^{2}[/tex] E = Margin of Error = 5% = 0.05Tcritical at 99%, df = 5 = 4.032 (T distribution table)Substituting the values into the equation :
[tex] n = (\frac{4.032 \times 0.376 }{0.05})^{2}[/tex]
[tex] n = (\frac{1.516032}{0.05})^{2} = 919.34[/tex]
Hence, the sample size required is 919.
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the area of a rectangle is 72cm2, in which the width is twice the length. what are the dimensions
Answer:
Dimension: 2inches by 4 inches
Step-by-step explanation:
Given
[tex]Width = 2wice\ Length[/tex]
Required
Determine the dimension.
This is calculated as :
[tex]Area = Length * Width[/tex]
[tex]A = L * W[/tex]
So:
[tex]A=L * 2L[/tex]
[tex]A=2L^2[/tex]
Substitute 72 for A
[tex]72=2L^2[/tex]
Divide bith sodes by 2
[tex]36 = L^2[/tex]
Take square root of both sides
[tex]L = 6[/tex]
Recall that:
[tex]Width = 2 * Length[/tex]
Hence:
[tex]LEnhth= 0 * 2[/tex]
[tex]LEnhth= 2[/tex]
Hence, the dimension is: 2 by 3 inches
a hollow cylindrical metallic pipe is 21 cm long if the external and internal diameter of the pipe are 12cm and 8cm respectively find the volume of metal used in making the pipe
Answer:
The volume of the metal used to make the pipe is [tex]\mathbf{1,680\pi\ cm^3}[/tex]
Step-by-step explanation:
The Volume of a Cylinder
Given a right cylinder of base radius r and height h, the volume is calculated as follows:
[tex]V=\pi r^2h[/tex]
We are given the dimensions of a cylindrical metallic pipe whose external diameter is de=12 cm and the internal diameter is di=8 cm. The height is h=21 cm.
The volume of the metal used in making the pipe is the difference between the external volume and the internal volume.
Calculating the external volume:
[tex]V_e=\pi r_e^2h[/tex]
[tex]V_e=\pi 12^2*21[/tex]
[tex]V_e=3,024\pi\ cm^3[/tex]
Calculating the internal volume:
[tex]V_i=\pi r_i^2h[/tex]
[tex]V_i=\pi 8^2*21[/tex]
[tex]V_i=1,344\pi\ cm^3[/tex]
The volume of metal is:
[tex]V_m=V_e-V_i=3,024\pi\ cm^3-1,344\pi\ cm^3[/tex]
[tex]V_m=1,680\pi\ cm^3[/tex]
The volume of the metal used to make the pipe is [tex]\mathbf{1,680\pi\ cm^3}[/tex]
which sentence contains a metapohor?
Answer:
The last one
Step-by-step explanation:
its comparing 2 things without using like or as
Answer:
The park road would be a black ribbon rippling through the majestic landscape
I'm pretty sure :)
Step-by-step explanation:
When you calculate your regression line, you are: Group of answer choices Minimizing the sum of the errors Finding the error for each observation, squaring the error and minimizing the sum Finding the absolute value of the error terms and minimizing the sum of the absolute values
Answer:
Finding the error for each observation, squaring the error and minimizing the sum
Step-by-step explanation:
The regression line is a straight line which gives a description of how the dependent variable y changes as changes occur in the independent variable X. It gives a prediction of the value of Y for any given value of X.
The method of least squares is used for squaring the error and also used for minimising the sum. Therefore, when you calculate the regression line, you would be Finding the error for each observation, squaring the error and minimizing the sum.
An emergency medical technician earns $19.71 per hour. One month she earns a gross pay of $3326.06. How much did she make per week if it was a 4.5 - week month? Round off the answer to two decimal places also. How much did she make per week if it was a 4.5 - week month? Round off the answer to two decimal places.
Answer:
The emergency medical technician made $739.12 per week
Step-by-step explanation:
Given that:
Per hour pay = $19.71
One month earning of emergency medical technician = $3326.06
Weeks in the following month = 4.5
For per week income, we will divide the monthly salary by number of weeks in the month.
Per week income = [tex]\frac{3326.06}{4.5}[/tex]
Per week income = $739.12
Hence,
The emergency medical technician made $739.12 per week
in the figure angle D measures 31 and angle a measures 27
The measurement of angle B is
The measurement of angle F is
Answer:
Angle b is 63
Angle f is 59
Step-by-step explanation:
Express each ratio as a fraction in the simplest form.
21 beetles out 36 insects
Answer:
8274
Step-by-step explanation:
You have $50. You have some $5 bills and some $10
bills. What are the possible amounts of each that you
could have? Let x be the number of $5 bills and y be the
number of $10 bills.
Answer:
10x + 5y = 50
Step-by-step explanation:
Amplitude: 6 Period: 44
Phase shift:
Step-by-step explanation:
provide more details, please
6 minutes to 16 minutes
Answer:
um im not sure if you need to simplify but then the answer would be 3 minutes to 8 minutes.
-3224 base 5 -3434 base 5
I guess you're asking to compute the difference,
-3224₅ - 3434₅
Ignore the minus signs for now, and consider the sum
3224₅ + 3434₅
In the 5⁰ place (the rightmost digit) we have
4₅ + 4₅ = 8 = 13₅
Carry the 1 to the next place. In the 5¹ place,
2₅ + 3₅ + 1₅ = 6 = 11₅
Carry the 1. In the 5² place,
2₅ + 4₅ + 1₅ = 7 = 12₅
Carry the 1. In the 5³ place,
3₅ + 3₅ + 1₅ = 7 = 12₅
So,
3224₅ + 3434₅ = 12213₅
and hence
-3224₅ - 3434₅ = -12213₅
Each of the following trinomials has a leading coefficient that is prime. Using a guess-and-check technique,
write each trinomial in its factored form. Show each guess and its check.
(a) 5x² - 41x+8
(b) 3x² + 4x - 20
I
(c) 2x - 29x-15
(d) 7x? +39x + 20
Answer:
14
Step-by-step explanation:
Solve for x. -1/5(x - 4) = -2
Answer:
x=14
Step-by-step explanation: