Answer:
The slope is 7/4 and the y intercept is -10
Step-by-step explanation:
y=7/4x-10
This equation is written is slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 7/4 and the y intercept is -10
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?
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
What is the future value of a R 75 000 deposit made every 6 months for 3 years using an annual rate of 10% compounded semi-annually?
Answer:
The future value is: RS 132867.075
Step-by-step explanation:
Given
[tex]PV = 75000[/tex] --- present value
[tex]r = 10\%[/tex] --- annual rate
[tex]n = 6[/tex] --- number of times compounded (3 years/ 6 months)
Required
The future value
This is calculated as:
[tex]FV =PV * (1 + r)^n[/tex]
[tex]FV = 75000 * (1 + 10\%)^6[/tex]
[tex]FV = 75000 * (1 + 0.10)^6[/tex]
[tex]FV = 75000 * (1.10)^6[/tex]
[tex]FV = 132867.075[/tex]
Hence, the future value is: RS 132867.075
I need help 6+2 plz answer for brain
Answer:
8
Step-by-step explanation:
i have 6 apples + 2 peers
Answer:
6 plus 2 equals 8
Step-by-step explanation:
If you have 6 apples and your mom gives you 2 more apples then you will have 8 apples.
6,7,8
(Show full work please) Carter spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 7250 feet.
Carter initially measures an angle of elevation of 16 to the plane at point A. At some
later time, he measures an angle of elevation of 26° to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary
Consult the attached diagram.
In the larger triangle,
tan(16°) = (7250 ft) / (x + y)
and in the smaller triangle,
tan(26°) = (7250 ft) / y
You want to solve for x.
From the first equation (I'm ignoring units from here on, all distances are measured in ft), you have
(x + y) tan(16°) = 7250
x tan(16°) + y tan(16°) = 7250
x tan(16°) = 7250 - y tan(16°)
x = 7250 cot(16°) - y
From the second equation,
y = 7250 cot(26°)
Solving for x gives
x = 7250 cot(16°) - 7250 cot(26°)
x = 7250 (cot(16°) - cot(26°))
x ≈ 10,433 ft
The distance the plane traveled from point A to point B is 10,433 ft.
We have given that,
Carter spots an airplane on the radar that is currently approaching in a straight line, and that will fly directly overhead.
The plane maintains a constant altitude of 7250 feet.
In the larger triangle,tan(16°) = (7250 ft) / (x + y)and in the smaller triangle,
What is the tan ratio?[tex]tan(\ theta)=\frac{\\opposite \side }{hypotenouse}[/tex]tan(26°) = (7250 ft) / y
we have to solve for x.
From the first equation (I'm ignoring units from here on, all distances are measured in ft),
you have
(x + y) tan(16°) = 7250
x tan(16°) + y tan(16°) = 7250
x tan(16°) = 7250 - y tan(16°)
x = 7250 cot(16°) - y
From the second equation,
y = 7250 cot(26°)
Solving for x gives
x = 7250 cot(16°) - 7250 cot(26°)
x = 7250 (cot(16°) - cot(26°))x ≈ 10,433 ft
Therefore the distance the plane traveled from point A to point B is 10,433 ft.
To learn more about altitude visit:
https://brainly.com/question/22736499
#SPJ2
Question 13
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Given the function C(t) = (t – 6)(t + 1)(t – 7)
its C-intercept is=
I
its t-intercepts are =
Answer:
The c intercept is 42
The t intercepts are: 6, -1 and 7
Step-by-step explanation:
Given
[tex]c(t) = (t - 6)(t +1)(t-7)[/tex]
Solving (a): The c intercept
Simply set t to 0
[tex]c(t) = (t - 6)(t +1)(t-7)[/tex]
[tex]c(0) = (0 - 6)(0 +1)(0-7)[/tex]
[tex]c(0) = (- 6)(1)(-7)[/tex]
[tex]c(0) = 42[/tex]
Solving (b): The t intercept
Simply set c(t) to 0
[tex]c(t) = (t - 6)(t +1)(t-7)[/tex]
[tex](t - 6)(t +1)(t-7) = 0[/tex]
Split
[tex]t - 6= 0,\ \ t +1= 0,\ \ t-7 = 0[/tex]
Solve for t
[tex]t = 6,\ \ t =-1,\ \ t=7[/tex]
Orla weighed 3.77kg when she was born.
On Orla's second birthday she weighed 12.8kg.
Calculate the percentage increase in her weight.
Answer :
70.5% weight increase
How do I solve this problem in 8th grade math
X - (-25) = -50
Answer:
try the meeting was a good friend of mine for the first person in my family who has been a great friend for any
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = - 75}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]x - ( - 25) = - 50[/tex]
➺ [tex] \: x + 25 = - 50[/tex]
➺ [tex] \: x = - 50 - 25[/tex]
➺ [tex] \: x = - 75[/tex]
Therefore, the value of [tex]x[/tex] is -75.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]x - ( - 25) = - 50[/tex]
➺ [tex] \: - 75 + 25 = 50[/tex]
➺ [tex] \: - 50 = - 50[/tex]
➺ L. H. S. = R. H. S.
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
camila is saving money to buy a 5 piece drum set that costs $360. She already has 80.00 saved and can earn the rest of the money by washing 20 cars. If m represents how much she earns for washing each car, which of the following equations can be solved to find how much Camila is paid for washing each car? Does anyone know
A. 20m -80 = 360
B. m(20+80) = 360
C. 360-80=20m
D. 80 + m= 360
Answer:
c
Step-by-step explanation:
two plus two
What is the value of h(2)?
-2
-1
0
3
Given f(x) = x2 + 24 - 12, find f(3)
Answer:
f(3) = 12
Step-by-step explanation:
f(3) = (3 x 2) + 24 - 12
= 6 + 24 - 12
f(3) = 12
If this helps you, please give brainliest!
Answer:
Step-by-step explanation:
f(x) = [tex]x^{2}[/tex] + 24 - 12
substitute 3 inplace of x
f(3) = [tex]3^{2}[/tex] + 24 - 12
=9 + 24 - 12
21
If the question is f(x) = x2 + 24 - 12 {x*2 + 24 - 12}
now substitute 3 in place of x
f(3) = 3*2 + 24 - 12
=6 + 24 - 12
18
In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 23% of your total grade, each major test is worth 25%, and the final exam is worth 27%. Compute the weighted average for the following scores: 74 on the lab, 69on the first major test, 62 on the second major test, and 85 on the final exam. (Enter your answer to one decimal place.)
Answer:
72.7 is the weighted average score
Step-by-step explanation:
The weighted average score
= score of lab * % share of total grade + score of first major test * % share of total grade + score of second major test * % share of total grade + Score of the final exam * % share of total grade
Substituting the given values, we get -
0.23 * 74 + 0.25 * 69 + 0.25 * 62 + 0.27 * 85
= 72.7
ang tamang yunit para masukat sng area ng panyo ay
Answer:
ang sentimeter ay ang tamang yunit ng pagsukat para sa pagsukat sa lugar ng isang panyo
Which of these graphs represents a function?
Answer:
[tex]{ \tt{graph \: y \:and \:graph\: z}}[/tex]
I’ll give u brainlest if u answer this question
calculate the surface area and the volume of cube with length 10m and 13cm
Answer:
Cube with 10 cm
SA = 600 cm V = 1000 cm
Cube with 13 cm
SA = 1014 cm V = 2197
Step-by-step explanation:
SA = 6[tex]s^{2}[/tex]
V = [tex]s^{3}[/tex]
s = side length
I don’t understand how to do this.
Answer:
46degrees
Step-by-step explanation:
From the question, we are told that both triangles are similar, hence;
<E = <S
<D = <R
<F = <T
From triangle DEF
<D + <F + <E = 180
Since <D = <F = 67
67 + 67 + <E = 180
134 + <E = 180
<E = 180 - 134
<E = 46degrees
Since <E = <S, hence the measure of <S is 46degrees
help plsss it’s timed i need to passss plsss
Answer:
65°
Step-by-step explanation:
To obtain Angle A, we use the cosine rule ;
Cos A = (b² + c² - a²) / 2bc
Cos A = (12² + 14² - 14²) / 2(12)(14)
Cos A = 144 / 336
A = Cos^-1(144/336)
A = 64.62°
A = 65°
helppp thxxxxxxxxxxx
Answer:
YES
Step-by-step explanation:
Yes, because the golden ratio has the value of 1.61803398875
The ratio 8.8:5.5 = 1.6.
They are very close, so yes.
I would appreciate if someone could answer this :)
Answer:
x = 8
y = 6
Step-by-step explanation:
Recall that one of the properties of a parallelogram is that the diagonals bisect each other, which means they divide each other into equal segments.
Therefore,
LP = PN
x = y + 2 (eqn. 1)
PM = KP
2x - 8 = y + 10 (eqn. 2)
Substitute x = y + 2 into eqn. 2 to find y
Thus:
2(y + 2) = y + 10
2y + 4 = y + 10
Take like terms
2y - y = -4 + 10
y = 6
Substitute y = 6 into eqn. 1 to find x:
x = y + 2 (eqn. 1)
x = 6 + 2
x = 8
2.) Find the zeros of the quadratic function y = x2 – 3x + 2 by factoring method.
2.) Find the zeros of the quadratic function y = x2 – 3x + 2 by factoring method.
Solution:-[tex]\sf{Set\:y = 0. Thus, }[/tex]
[tex]\sf\rightarrow{0 = x2 – 3x + 2} [/tex]
[tex]\sf\rightarrow{0 = ( x – 2) ( x – 1)}[/tex]
[tex]\sf\rightarrow{x – 2 = 0 or x – 1 = 0} [/tex]
[tex]\sf{Then\:x = 2\:and\:x = 1}[/tex]
Answer:-The zeros of y = x² – 3x + 2 are 2 and 1.=====================#CarryOnLearning
(ノ^_^)ノ
Write the rational number as a decimal.
−11/5
-11/5 = -11 ÷ 5 = -2.2
Answer:
-2.2
Nikki bought a patio set on sale for $480. The original price was $850. What was the rate of discount?
Round your answer to the the nearest tenth of a percent
Answer:
43.5 % decrease
Step-by-step explanation:
Take the original price and subtract the new price
850-480
370
Divide by the original price
370/850
.435294118
Change to percent form by multiplying by 100
43.5294118 % decrease
43.5 % decrease
If someone can pls give the answer with steps that would be greatly appreciated :)
Answer:
Slope = 3
intercept = 2
y = 3x + 2
angle y = 70
angle x = 110
Step-by-step explanation:
0. 1. 9. In Sujata asked 100 coffee drinkers whether they like cream or sugar in their coff According to Venn diagram below, how many like. (a) Cream (b) Sugar (c) Sugar but not cream (d) Cream but not sugar (e) Cream and sugar (f) Cream or sugar
Answer:
36, 55 , 35, 16, 20, 71
Step-by-step explanation:
Total number of coffee drinkers, U = 100
Let
n(Cream) = C
n(Sugar) = S
n(cream and sugar) = n(CnS) = 20
Number that like cream = n(C) + n(CnS) 16 + 20 = 36
Nunber that like sugar = n(S) + n(CnS) = 35 + 20 = 55
Sugar but not cream = 35 (from. Venn diagram)
Cream but not sugar = 16 (From. Venn diagram)
Cream and sugar = n(CnS) = 20
Cream or sugar = n(CuS) = 16 + 20 + 35 = 71
Q23. Find the value of k, if x = 2, y = 1 is a solution of the equation 2x + 3y = k.
Answer:
k=7
Step-by-step explanation:
2x+3y=k
2(2)+3(1)=k
4+3=k
k=7
Answer:
7.
Step-by-step explanation:
Substitute x = 2 and y = 1 into the given equation:
2(2) + 3(1) = k
4 + 3 = k
k = 7.
Evaluate the expression for x=1 and y=9
3x+y=
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
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
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]
25x power square - 36 y power square
[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]
PLEASE HELP!!!
-Graphing Linear Inequalities
What is the difference between solid and dashed lines?
ok and again i just dont understand well so this is why i am asking so many times and u guys and girls are getting alot of points
Answer:
The answer is A
Step-by-step explanation: