3x + 2y = 8
2y = –3x + 8
y= -3/2 x+4
m= -3/2
Answer:
m= -3/2
Step-by-step explanation:
Hope this helped have an amazing day!
Rise= ?
Run= ?
Slope= ?
Answer:
Rise = 0
Run = 4
Slope = 0
Step-by-step explanation:
Slope of straight line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
Since, given line is passing through two points (-2, -3) and (2, -3),
Rise of the line = -3 - (-3) = 0
Run of the given line = 2 - (-2) = 4
By substituting these values of rise and run in the formula,
Slope = [tex]\frac{0}{4}[/tex]
= 0
Therefore, Rise = 0
Run = 4
Slope = 0
Note: Slope of a line parallel to the x-axis is zero.
Slope of a line parallel to y-axis is not defined.
John picked 340 oranges. If he had 17 buckets to carry the oranges in, how many oranges would be in each bucket?
Answer: There would be 20 oranges in each bucket
Step-by-step explanation:
Answer:
20 oranges
Step-by-step explanation:
if john has to distribute the 340 oranges he picked amongst 17 buckets, the equation that represents his situation would be 340/17. just divide and you'll get 20, meaning there's 20 oranges in each bucket.
A consumer group is testing camp stoves. To test the heating capacity of a stove, they measure the time required to bring 2 quarts of water from 50 degrees to boiling.
Two competing models are under consideration. Thirty-six stoves of each model were tested and the following results were obtained.
Model 1: mean time is 11.4 and standard deviation is2.5
Model 2: mean time is 9.9 and standard deviation is 3.0
Is there any difference between the performances of these two models? {use a .05 level of significance}. Find the p-value of the sample statistic and do a significance test.
Find a 95% confidence interval for the difference of the means.
Answer:
a
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that there is a difference between the performances of these two models
b
The 95% confidence interval is [tex] 0.224 < \mu_1 - \mu_2 < 2.776 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 36
The first sample mean is [tex]\= x_1 = 11.4[/tex]
The first standard deviation is [tex]s_1 = 2.5[/tex]
The second sample mean is [tex]\= x_2 = 9.9[/tex]
The second standard deviation is [tex]s_2 = 3.0[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu_1 - \mu_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 - \mu_2 \ne 0[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ (\= x_1 - \= x_2 ) - (\mu_1 - \mu_2 ) }{ \sqrt{ \frac{s_1^2 }{n} + \frac{s_2^2 }{ n} } }[/tex]
=> [tex]z = \frac{ ( 11.4 - 9.9) - 0 }{ \sqrt{ \frac{2.5^2 }{36} + \frac{ 3^2 }{36 } } }[/tex]
=> [tex]z = 2.3[/tex]
From the z table the area under the normal curve to the left corresponding to 2.3 is
[tex]P( Z > 2.3 ) = 0.010724[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P( Z > 2.3 )[/tex]
=> [tex]p-value = 2 * 0.010724[/tex]
=> [tex]p-value = 0.02[/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that there is a difference between the performances of these two models
Considering question b
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{s_1^2 }{n } + \frac{s_2^2}{n}} [/tex]
=> [tex]E = 1.96 * \sqrt{ \frac{2.5^2 }{ 36 } + \frac{ 3^2}{36}} [/tex]
=> [tex]E = 1.276 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]( \= x_1 - \= x_2) -E < \mu_1 - \mu_2 < ( \= x_1 - \= x_2) + E [/tex]
=> [tex]( 11.4 - 9.9 ) -1.276 < \mu_1 - \mu_2 < ( 11.4 - 9.9 ) + 1.276 [/tex]
=> [tex] 0.224 < \mu_1 - \mu_2 < 2.776 [/tex]
Jessica can do 60 jumping-jacks in 2 minutes. Which of the following is an equivalent rate
A computer's hard disk holds 7.5 * 107 bytes of information. Jaden adds an extra memory stick so he can store a total of 7.75 X 107 bytes of information. The memory stick holds mx 109 bytes of information, where mis and n is
Answer:
I believe that the awnser is 2.5 and 6
Step-by-step explanation:
Answer:
The other person is right
Step-by-step explanation:
Rosy has 16 pencils and 24 erasers. She is putting together packets that will have an equal number of pencils and erasers in each packet. If Rosy uses all of the pencils and erasers, what is the maximum number of packets she can make?
A.
2
B.
4
C.
8
D.
48
Answer: It's A. 2.
Step-by-step explanation:
Answer:
its not a
Step-by-step explanation:
Simplify
30 +5.5
O 52
58
70
190
Answer:
70 is the answer
Step-by-step explanation:
ggsgshdghdhdhdhhdhdhdhd
Answer:
70
Step-by-step explanation:
What’s 2/2 x 5/6 plz help me
Answer:
5/6
Step-by-step explanation:
2/2 = 11 × 5/6 = 5/6I hope this helps!
A pipe is leaking in the school bathroom . it leaked 3 gallons of water in 6 hours.
Find the constant of proportionality
Answer:
0.5 gallons per hour
Step-by-step explanation:
Stephanie needs to cover her yard with 410taft2of soil. She has enough for 125ft2in one bag and 65 ft2in another bag. How much more square feet of soil will she need covered?
Answer:
Stephanie needs 220ft² of more soil to cover the rest of her yard.
Step-by-step explanation:
First add the bags she already has:125ft²+65ft²+x=410ft² --> 190ft²+x=410ft²
Second use the subtraction property of equality: 190ft²-190ft²+x=410ft²-190ft² ---> x=220ft²
6) Determine if the two figures are similar. Present an informal argument to present
as to why they are or are not similar.
Step 1
Step 2
Step 3
Answer:
yes they are similar
step 1: flip it across the y-axis
step 2: translate it 4 units to the right and 5 units down
step 3: dilate it by a factor of 1/2
Step-by-step explanation:
decide whether the rates are equivalent.
24 laps/6 minutes
72 laps/18 minutes
Answer:
Yes they are equivalent
Step-by-step explanation:
Because 24/6=4
And 72/18= 4
Hope this helps, have a good day
Caitlyn is saving for vacation. She already has $38 and plans to save $18 per week until she reaches her goal of $524. Caitlyn’s total savings, s, can be determined using this equation, where w represents the number of weeks she saves.
s=18w+38
How many weeks will Caitlyn need to save to reach her goal of $524?
Answer:
27.88 can be rounded to whatever the question wants you to, coz it needs to be a whole no.---> so I would say 28 weeks, but it depends on what the question asks
Step-by-step explanation:
18w+38= should equal to $540
rephrasing this in a mathematical way would be-
18w+38=$540
18w=$540-38
18w=502
w=502/18
w=27.88
Answer:
The answer is 27. 88 but if this is like a test and not a open end question than the answer is 27 ;)
A sporting goods store is selling all their exercise equipment for 30% off.
The regular price for an exercise bicycle is $260. The regular price for a set of hand weights is $120.
Part A
Use the drop‐down menus to explain how to find the sale price of the exercise bicycle.
Find ____________ of the cost of the exercise bicycle. Multiply that amount by
_______
to find 30% of the cost. Then (x-+/ choose 1)
the regular price to find the sale price.
Part B
Use your answers from Part A to find the sale price for the exercise bicycle. Enter your answer in the line
$_______
Part C
What is the sale price of the hand weights?
$114
$84
$36
$380
Answer:
weird
Step-by-step explanation:
Answer:
ok
Step-by-step explanation:
answered it. but I really need the answer tho like rn!
x+2=7,x=........?Please help
Answer:
5
Step-by-step explanation:
5 + 2 = 7
-2 + 0.4x = -0.2(4x+22)
solve
The two triangles are similar.
Solve for h.
Give an exact answer.
Answer:
4.5 m
Step-by-step explanation:
if the two triangles are similar than it would mean that zy to xy is same ratio to cb to ab which means that the second triangle is only enlarge version of the first triangle. so divide 7.2 by 1.6 and multiply 1 to get the solution of 4.5
please help ASAP please
2/3 is the answer becuase 72/6 = 12 12/6 = 2/3
4 1/3 Divided by 1/2
5. What are the dimensions of this matrix?
Please help meeeeeeeeeee
Answer:
4 x 1
Step-by-step explanation:
The matrix shown in the illustration has 4 rows and 1 column, and thus we give the dimensions as 4 x 1.
What’s the answer to this radical functions equation ASAP
Step-by-step explanation:
√z is defined only when z >= 0
Therefore √x - 1 is defined only when (x - 1) >= 0, x >= 1.
The only graph that shows the domain x >= 1 is graph Y.
Use a table of values to graph the function [tex]f(x) = -2\sqrt[3]{x}[/tex]. Select the correct graph below
Answer:
the correct graph is B
Step-by-step explanation:
to check, you can see that my graph and graph in answer B both intersects at (-1,2)
Help me out hereeeeeeeeee
Answer:
0.28
Step-by-step explanation:
Starting with 2, and i count by 8s until I reach 82, and 82 is the Nth number, what is the value of N?
Answer:
11 is N
Step-by-step explanation:
Since we know the first answer is 2, we can subtract 82 by 2. Afterwards we can divide by 8 since we are counting by 8s, this gets me 10. 10 + the first number is 11
The net change for a certain stock is the dollar value change in the
stock's closing price from the previous day's closing price. The net changes of three
stocks were -3, 1, and -2. Which net change has the greatest absolute value?
Answer:
-3
Step-by-step explanation:
Just put that trust me
Using point-slope form, write the equation of the line that passes through the point (-1/2,1/2) and has a slope of -1
Answer:
y - 1/2 = -(x + 1/2)
Step-by-step explanation:
Use point slope form, y - y1 = m(x - x1), where (x1, y1) is a point on the line
Plug in the point given and the slope:
y - y1 = m(x - x1)
y - 1/2 = -(x + 1/2)
So, the equation is y - 1/2 = -(x + 1/2)
Answer:
y - 1/2 = -(x + 1/2)
2-2=-1(1+1)
Step-by-step explanation:
slope is given
y-y1=m(x-x1)
9 × ( 6+ 11 ) = (9 6) (9 11)
assuming the 9 6 and 9 11 are fractions, we get:
9 x ( 6 + 11 ) = (9/6) (9/11) =
153 = 27/22
Answer:
9(17) = (9 x 6)+(9 x 11)
153 = 54 + 99
153 = 153
Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D
what is the solution to this system? 2x+3y=12 -4x+5y=-2
answer: (3,2)
step by step explanation: :)
25 points
What is an equation of a line, in point-slope form, that passes through (1, -7) and has a slope of-?
O y+7 +1)
Oy-7=-(+1)
O y+7=--1)
oy-7=-1)
Answer:
I think option C is correct
please help i will name brainiest
Answer:
Step-29 (86by-step explanation: