For the straight line defined by the points (2,57) and (4,83), determine the slope (m) and y-intercept (b).
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Step-by-step explanation:
the answer is in the image above
Related Questions
Each bag needs 5.44 oz of dough the baker purchased 13.6 lab of dough how many bags of bread can be produce
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Step-by-step explanation:
10075 .+#!!#+#!$!$++$7$+"$($(
Recent incidents of food contamination have caused great concern among consumers. An article reported that 31 of 80 randomly selected Brand A brand chickens tested positively for either campylobacter or salmonella (or both), the leading bacterial causes of food-borne disease, whereas 61 of 80 Brand B brand chickens tested positive.
Required:
a. Does it appear that the true proportion of non-contaminated Perdue broilers differs from that for the Tyson brand? Carry out a test of hypotheses using a significance level 0.01 by obtaining a P-value.
b. If the true proportions of non-contaminated chickens for the Perdue and Tyson brands are 0.50 and 0.25, respectively, how likely is it that the null hypothesis of equal proportions will be rejected when a 0.01 significance level is used and the sample sizes are both 80?
Answers
Answer:
a) z(s) is in the rejection region for H₀ we reject H₀.
We have enough support to conclude that the two populations are different
z(s) is in the rejection region so we reject H₀
The two population have a different proportion of non-contaminated food
Step-by-step explanation:
Conditions:
-Independent samples
-Random samples
- Size samples big enough
a) A Brand Chickens Sample:
sample size n₁ = 80
We will go through a z- test
number of contamination cases x₁ = 31
Then p₁ = 31/80 p₁ = 0.3875 and q₁ = 1 - p₁ ; q₁ = 1 - 0.3875
q₁ = 0.6125
B Brand Chickens Sample:
sample size n₂ = 80
number of contamination cases x₂ = 61
Then p₂ = 61/80 p₂ = 0.7625 and q₂ = 1 - p₂ ; q₂ = 1 - 0.7625
q₂ = 0.2375
Hypothesis Test:
Null Hypothesis H₀ p₂ = p₁
Alternative Hypothesis Hₐ p₂ ≠ p₁
The alternative hypothesis call for a two-tail test ( ≠ ) we will test if the proportion differs )
A significance level α = 0.01 then α/2 = 0.005
From z -Table α/2 = 0.005 correspond to z(c) = 2.575
To calculate z(s)
z(s) = ( p₂ - p₁ ) / √( p₁*q₁/n₁) + (p₂*q₂)/n₂)
z(s) = ( 0.7625 - 0.3875 ) / √(0,3875*0.6125)/80 + (0.7625*0.2375)/80
z(s) = ( 0.375 ) / √(0.00296) + (0.00226)
z(s) = ( 0.375 ) /0.072
z(s) = 5.21
Comparing z(s) and z(c) z(s) > z(c)
z(s) is in the rejection region for H₀ we reject H₀.
We have enough support to conclude that the two populations are different
b) folowing the same procedure now talking about non-contaminated chickens
Tyson Brand Chickens p₁ = 0,5 then q₁ = 0.5
Perdue Brand chickens p₂ = 0.25 then q₂ = 0.75
n₁ = n₂ = 80
Hypothesis Test:
Null Hypothesis H₀ p₁ = p₂
Alternative Hypothesis Hₐ p₁ ≠ p₂
Alternative hypothesis indicates a two-tail test
z(c) = 2.575
And z(s) = (0.5 - 0.25)/ √(0.5*0.5)/80 + (0.25*0.75)/80
z(s) = 0.25 / √( 0.003125 + 0.002343
z(s) = 0.25 / 0.0739
z(s) = 3.38
Comparing z(s) and z(c)
z(s) > z(c)
z(s) is in the rejection region so we reject H₀
The two population have different proportion of non-contaminated food
How many solutions does the nonlinear system of equations graphed below have?
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Answer:
2
Step-by-step explanation:
2 is the answer because the circle touches the line only 2 times.
Hope this helps.
N/A questions does not exist
Answers
Answer:
ok
Step-by-step explanation:
why did you put it
Distribution of Sample Proportions
Susan really loves the lemon-flavored Fruity Tooty candies, but there always seems to be a lot of grape-flavored candies in each bag. To determine whether this is because grape candies are so popular or because each bag contains fewer lemon candies, Susan randomly picks a Fruity Tooty candy from her bag, records its flavor, and places it back in the bag. Each bag contains a mixture of cherry, grape, apple, lemon, and orange flavors. Which statement about Susan's distribution of sample proportions is true?
a) The distribution of the count of picking a cherry candy cannot be modeled as approximately normal if Susan picks candies over 200 times.
b) The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times.
c) The sample proportion of drawing an orange candy is not a binomial distribution.
d) The distribution of lemon candy can be modeled as normal if Susan picks candies 10 times.
Answers
Answer:
Option B, The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times
Step-by-step explanation:
The distribution of apple candies can be represented as normal curve and hence the sample proportion for this is true and can be drawn.
The rest other cases do not represent a normal distribution and hence it will not be easy to plot curve for these samples.
hence, option B is correct
The domain of this function is {-12, -6, 3, 15}
Answers
Answer:
exclude any real numbers that result in a negative number in the said radical. set your radical greater than or equal to zero and solve for x.
Let $a$ and $b$ satisfy $ab=7$ and $a+b=5$. What is the value of $a^2 + b^2$?
Brainly to correct answer!
Answers
Answer:
11
Step-by-step explanation:
(a+b)^2=a^2+b^2+2ab
a^2+b^2=(a+b)^2-2ab
=5^2-14
=11
If someone can pls give the answer with steps that would be greatly appreciated :)
Answers
Answer:
Slope = 3
intercept = 2
y = 3x + 2
angle y = 70
angle x = 110
Step-by-step explanation:
What’s the simplification
Answers
Answer:
D. [tex]4^{15}[/tex]
Step-by-step explanation:
[tex]=(4^3)^5[/tex]
Multiply the exponent inside the parenthesis with the exponent outside.
[tex]=4^{15}[/tex]
Hope this helps.
Answer:
4^15
Step-by-step explanation:
Ok, so lets replace the base, 4, with x so we don’t get confused by it:
(X^3)^5
When we raise a power to a power, we multiply them , so:
(X^15)
Remember x is 4, so:
4^15 is the answer
prove that 1 + sin a + cos 2A upon 1 + Sin A minus Cos 2A = 2 cot a prudent
Answers
Answer:
LHS×0=RHS×0
0=0
hence,proved
Which sequence is generated by the function f(n + 1) = f(n) - 2 for f(1) = 10?
A. -10, -12, -14, -16, -18, ...
B. -2, 8, 18, 28, 38, ...
C. 8, 18, 28, 38, 48, ...
D. 10, 8, 6, 4, 2, ...
Not sure the answer
HELP!!
Answers
Answer:
D. 10, 8, 6, 4, 2, ...
Step-by-step explanation:
f(n + 1) = f(n) - 2
This means that each term is the previous term subtracted by 2,
f(1) = 10
This means that the first term of the sequence is 10.
Thus, the sequence is:
10, 8, 6, 4, 2, ...
Thus the correct answer is given by option D.
25x power square - 36 y power square
Answers
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { (5x + 6y)(5x - 6y) }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] ={25x}^{2} - 36 {y}^{2} [/tex]
[tex] = ({5 \times 5)x}^{2} - (6 \times 6){y}^{2} [/tex]
[tex] = ({5x})^{2} -( {6y})^{2} [/tex]
[tex] = (5x + 6y)(5x - 6y)[/tex]
Note:[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
In The Diagram, P, Q, R, Are Points On The Circle With Centre 0 And Diameter 14cm. Angle PQR=35 Degree. Find, Correct To One Decimal Place A. The Length Of The Minor Are PQ; B. The Chord PQ.
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in the diagram, P, Q, R, are points on the circle with centre 0 and diameter 14cm. angle PQR=35 degree. find, correct to one decimal place
a. The length of the minor are PQ;
B. The chord PQ.
Answers
Answer:
a
Step-by-step explanation:
because the diagram the length decimal place degree
What miss take did she do.
Answers
Answer:
the scale factor is
-2 and
-4
Marina spent 1/5 of her money on a book. If she had $80 left after she brought the book, how much money did she have originally?
Answers
Answer:
Marina had 50$ originally
Step-by-step explanation:
80-1/5 of the money she spent for the books that she brought, The step by step process is how much money she had left behind from the books she brought seperate
Answer:
$100
Step-by-step explanation:
Step 1, setting up an equation:
If Marina spent [tex]\frac{1}{5}[/tex] of her money, she has [tex]\frac{4}{5}[/tex] of her money remaining. We also are given that she has $80 left. We can set her initial total amount of money as x to solve this problem:
[tex]\frac{4}{5}x=80[/tex]
Step 2, solving for x:
[tex]\frac{4}{5}x=80\\\\4x=400\\\\x=100[/tex]
We have set x as her original amount of money, so we have the answer!
Marina originally had [tex]\fbox{100}[/tex] dollars.
I hope this helps! Let me know if you have any questions :)
A calculator was used to perform a linear regression on the values in the
table. The results are shown to the right of the table.
х
y
1
9
N
6
LinReg
y = ax+b
0=-3.6
b=12.8
r2=.9969230769
r=-.9984603532
3
2
4
-2
5
-5
What is the line of best fit?
A. y = -3.6x + 12.8
O B. -0.998 = -3.6x + 12.8
O c. y = 12.8x - 3.6
D. y = -0.998x + 12.8
Answers
Answer:
Step-by-step explanation:
A y = -3.6x + 12.8
The line of best fit is,
⇒ y = - 3.6x + 12.8
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, Given that;
⇒ y = ax + b.
And, the best fitting line has values of a = - 3.6 and b = 12.8.
Hence, All you need do is put that into the general equation and try different values for it.
So you have y = - 3.6 x + 12.8
Now Let's run a couple of numbers.
The table shows 1 and 9 for the first entry. This means when x = 1, y should come pretty close to nine.
y = - 3.6(1) + 12.8
y = 9.2
Which is not a bad result for x = 1
You might want to check to see if anything else comes closer in your choices. If it does, then you have to try other points.
C
-0.998 = -3.6(1) + 12.8
This answer cannot work. We've already shown that x =1 will leave us close to 9 not -998
So, C is incorrect.
B
y = 12.8x - 3.6
Let x = 1
y = 12.8(1) - 3.6
y = 9.2 is right by coincidence. We must try another value. The hardest one is going to be 5 and - 5
y= 12.8*5 - 3.6
y = 64 - 3.6 which is no where's near - 5.
So B is wrong.
A
y = -0.998(1) + 12.8 Does this give 9 or anywhere near it? 11.802 You might argue that that is not a bad result. So let's try another pair.
x = 3. y should come to somewhere near 2.
y = -0.998 * 3 + 12.8 which comes to roughly nine. You can check this out.
It is not close enough to 2 to be acceptable.
Thus, The correct option is,
⇒ y = - 3.6x + 12.8
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
PLEASEEEEEE HELPPPPPP IM BEGGGGINGGG SOMEONE PLEASEEEEE PLEASEEEEEEE
Answers
Interior angles equal 180…so 180-120-20= 40. 40 is your x value. Angles on a straight line equal 180, so 180-40=140.
Answer:
x+120°+20°=180°[ sum of interior angle of triangle]
x+140°=180°
x=40°
then,
x+y= 180°[being straight line]
40°+y= 180°
y=140°
Evaluate the expression for x=1 and y=9
3x+y=
Answers
Answer:
12
Step-by-step explanation:
x = 1 and y = 9 so 3x1 + 9 = 12 as 3 x 1 is 3 and adding 9 to it will give 12
This is for my brother’s test
What are the measures of L1 and L2? Show your work or explain your answers.
Answers
Answer:
angle 2 is 75°osjdiajsjoasnndosnsnd
i need help on all of these please help i’ll mark brainliest!!!
-11 + x = 7X - 5
Answers
I don't know what your looking for, so be more specific, but I'm assuming your solving for x, so that's would be
x = -1
Answer:
We can simply solve all of these by simplifying them :)
1 . 13 - 4x = 1 - x =
x = 4
2 . 7a - 3 = 3 + 6a =
a = 6
3 . 5 + 2x = -2x + 6 =
x = 1/4
4 . -11 + x = 7x - 5 =
x = -1
Use the diagram to solve. What is 135% of 280?
Answers
Step-by-step explanation:
[tex] \frac{135}{100} \times \frac{280}{1} = 378[/tex]
Multiply 1.35 • 280
The distance between major cracks in a highway follows an exponential distribution with a mean of 5 miles. (a) What is the probability that there are no major cracks in a 10-mile stretch of the highway
Answers
Answer:
[tex]P(Y=0) = 0.1353[/tex]
Step-by-step explanation:
From the question we are told that:
Exponential distribution mean [tex]\=x = 5 miles[/tex]
Distance [tex]d=10miles[/tex]
Generally the equation for Exponential distribution is mathematically given by
[tex]\lambda=\frac{1}{E(X)}[/tex]
[tex]\lambda=\frac{1}{5}[/tex]
Therefore
Possion Y
[tex]10\lambda=10*(1/5)[/tex]
[tex]10\lambda=2[/tex]
Generally the equation for The probability that there are no major cracks in a 10 mile stretch of the highway is mathematically given by
[tex]P(Y=0) = \frac{e-2 (2)0}{0!}[/tex]
[tex]P(Y=0) = e-2[/tex]
[tex]P(Y=0) = 0.1353[/tex]
if f(x) = -3x - 5 and g(x) = 4x-2, find (f+g)(x)
Answers
Answer:
(f+g)(x) = x - 7
Step-by-step explanation:
it is simple - when adding 2 functions your simply add both expressions. and the result is then the function of the sum.
the same applies also to other arithmetic operations.
-3x -5 + 4x - 2 = x - 7
12s + 10t = 54
6s + 10t = 42
What is a and what is t
Answers
Answer:
First equation has extra 6s and this extra 6s=54-42=12
6s=12. s=2
Step-by-step explanation:
6*2+10t=42 ........ 10t=30 t=3
Answer:
s = 2 and t = 3
Step-by-step explanation:
Assuming you were suppose to type s instead of a,
12s + 10t = 54 -- (1)
6s + 10t = 42 -- (2)
(1) - (2) : 6s = 12
s = 2 -- (3)
Substituting (3) into (2),
12 + 10t = 42
10t = 30
t = 3 -- (4)
Therefore, s = 2 and t = 3
If this helps you, please mark brainliest!
Have a nice day!
PLEASE HELP MEEEE I really need it!!!
the input values are the x-values.
true or false
Answers
false
Step-by-step explanation:
ita really false yoooooooooooooo
3 29/31+ 9 13/14•26 6/7=
Answers
Step-by-step explanation:
3 29/31 + 9 13/14 * 26 6/7 =0
first 26 6/7 = 26 13/14
3 29/31 +( 26 13/14 * 9 13/14)
3 29/31 + 266 32/49
Answer :
270 894/1519 / 270.5585 / 411024/1519
Which is the graph of f(x) = x2 - 2X + 3?
Answers
Graph the line that represents a proportional relationship between y and x where the unit rate of change of y with respect to xxx is 5/3 In other words, a change of 1 unit in x corresponds to a change of 5/3 units in y. Graph the line and write the equation of the line.
Use numbers 1-9 in the graph negative and positive THANK YOU
Answers
Answer:
The equation of the line is, "y = 5/3x."
Step-by-step explanation:
Here are the pictures of the graph and points attached:
The Utica Boilermaker is a 15-kilometer road race. Sara is signed up
to nin this race and has done the following training runs:
I.
10 miles
II.
44,880 feet
III. 15,560 yards
Which run(s) are at least 15 kilometers?
Answers
Answer:
10 miles
Step-by-step explanation:
10 miles= 16093.44km
44880ft=13.679424km
15560yards= 14.228064
Is it Isaiah , 41:10 ?
Answers
Answer:yes it is
Step-by-step explanation: