Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_1 = 252[/tex]
The number that tested positive is [tex]k_1 = 18[/tex]
The second sample size is [tex]n_2 = 476[/tex]
The number that tested positive is [tex]k_2 = 20[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
Generally the first sample proportion is mathematically represented as
[tex]\^ p _1 = \frac{k_1 }{ n_1 }[/tex]
=> [tex]\^ p _1 = \frac{18 }{ 252 }[/tex]
=> [tex]\^ p _1 = 0.071[/tex]
Generally the second sample proportion is mathematically represented as
[tex]\^ p _2 = \frac{k_2 }{ n_2 }[/tex]
=> [tex]\^ p _2 = \frac{20 }{ 476}[/tex]
=> [tex]\^ p _2 = 0.042[/tex]
The null hypothesis is [tex]H_o : p_1 - p_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : p_1 - p_2 \ne 0[/tex]
Generally the test statistics is mathematically represented
[tex]z = \frac{ \^ p_1 - \^ p_2 - ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1 } + \frac{\^ p_2 (1-\^ p_2)}{ n_2 } } }[/tex]
=> [tex]z = \frac{ 0.071 - 0.042 - 0 }{ \sqrt{\frac{0.071 (1-0.071)}{ 252 } + \frac{0.042 (1-\^ 0.042)}{ 476 } } }[/tex]
=> [tex]z = 1.56[/tex]
From the z table the area under the normal curve to the right corresponding to 1.56 is
[tex]P(Z > 1.56 ) =0.05938[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > 1.56 )[/tex]
=> [tex]p-value = 2 * 0.05938[/tex]
=> [tex]p-value = 0.1188[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife
I need help in math thank you
The correct answer is 960 yards
Explanation:
The first step to answer this question is to calculate the distance Alan traveled. Additionally, to calculate this use the time (90 seconds) and the speed (32 ft/s) by considering distance equals speed multiplied by time.
D (Distance) = s (speed) x t (time)
D = 32 ft/s x 90 s
D= 2880 ft
This means the total distance was 2880 feet; however, the answers are provided in yards and the feet need to be changed to yards. Follow this process:
1 foot = 0.3333 yards
2880 ft x 0.3333 yards = 959.99 yards which can be rounded as 960 yards.
Write the explicit rule for the given the sequence: 125, 25, 5, ...
Answer:
An=125(1/5)^n-1
Step-by-step explanation:
r=common ratio
A1= first term in the sequence
I hope this helps some
The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.
The given GP series is 125, 25, 5, ...
First term a = 125
Common ratio = 25/125 = 1/5
The nth term will be given as ar^(n-1)
Thus, An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].
Hence "The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125".
For more information about the geometrical progression,
brainly.com/question/4853032
#SPJ2
what is the percent increase in 22 to 30
Answer:
36.37%
Step-by-step explanation:
30 - 22 = 8
100% * 8/22
800/22
36.37%
There are 95 students at an
assembly. They are sitting in rows
and there are 7 students in each
row. How many rows will be needed
to seat all the students?
Answer:
about 14 chairs
Step-by-step explanation:
All you do is do 95 divided by 7, which is 13.57142857142857.... If your teacher would want you to round, then answer with 14, but if they wouldn't, I would just do 14
if anybody could answer this; please do!
Answer:
2
Step-by-step explanation:
cause
Answer:1,036
Step-by-step explanation:I did this in my head lol tell me if it’s wrong tho
Dkendbdjdbebdbdbdjdnd
Answer:
5/2
Step-by-step explanation:
The 5^-3 and 5^6 cancel out to be 5^3. Then the 5^3 cancels out with the 5^2 in the denominator and leaves you with just a 5. The 2^2 makes the 2^3 in the denominator just 2. So, you are left with 5/2! Hope this helps.
What is the solution to the system of polynomials graphed below?
Answer:
Step-by-step explanation:
A(-1,6)
the solution is the intersection of the 2 graph because in that point both equations are true
HELP PLZ
You don’t have to solve all of them just do the ones you know!
PLEASE HELP NOO NE ANSWERS IT THE RIGHT WAY. YOURE SUPPOSED TO FIND WHICH ONE HAS THE GREATER UNIT RATE (only question 13)
Answer:
The graph on the right.
Step-by-step explanation:
The graph has a higher unit rate because it's slope is 48.5, as opposed to the equation on the left which has a slope of 23.5
Urgently need this my kid is confused and so am I.
The length, x, of a rectangle is five more than the width, y, and the perimeter of the rectangle is 42 meters. If y = x – 5 is one equation used to solve the system of equations, select the other equation that can be used to solve the for the length and width of the rectangle. What are the values of the length and width?
Answer:
The other equation is [tex]x + y = 21[/tex]
The length and width are 13 and 8
Step-by-step explanation:
Given
[tex]Perimeter = 42[/tex]
[tex]y = x - 5[/tex]
Required
What is the other equation for the length and width?
x and y represents the length and width respectively.
The perimeter of a rectangle is calculated using:
[tex]Perimeter = 2 * (length + width)[/tex]
In this case, it is:
[tex]Perimeter = 2 * (x + y)[/tex]
Substitute 42 for perimeter
[tex]42 = 2 * (x + y)[/tex]
Divide through by 2
[tex]21 = x + y[/tex]
[tex]x + y = 21[/tex]
Required: The values of length and width
We have that:
[tex]y = x - 5[/tex]
[tex]x + y = 21[/tex]
Substitute x - 5 for y in the second equation
[tex]x + x - 5 = 21[/tex]
[tex]2x - 5 = 21[/tex]
Add 5 to both sides
[tex]2x - 5 + 5 = 21 + 5[/tex]
[tex]2x = 26[/tex]
Divide through by 2
[tex]x = 13[/tex]
Substitute 13 for x in [tex]y = x - 5[/tex]
[tex]y = 13 - 5[/tex]
[tex]y = 8[/tex]
Hence, the length and width are 13 and 8 respectively
Applesauce recipe for 8 uses 3 quarters of water. How much water for 12 people
Answer:
4.5 quartsStep-by-step explanation:
We use a proportion to solve this.
8/3 = 12/x
Cross-multiply to get:
8x = 36
x = 4.5
The answer to the question is 4.5
Use the elimination method to solve the system of equations.
3x + 2y = 16
2x - 2y = 4
A. (2,4)
B. (5,3)
C. (4,14)
D. (4,2)
correct answer is d x=4 y=2
Answer:
d (4,2)
Step-by-step explanation:
PLEASE HURRY! (And only respond if you know the answer please.)
A Web music store offers two versions of a popular song the size of the standard version is 2.1 megabytes (MB). The size of the high-quality version is 4.9 MB. Yesterday, the high-quality version was downloaded twice as often as the standard version. The total size downloaded for the two versions was 2737 MB. How many downloads of the standard version were there?
Answer:
Step-by-step explanation:
If the no of standard version downloads = 230
Then higher version is twice than that = 460
Total = 2.1 x 230 + 4.9 x 460 = 2737
Based only on the information given in the diagram, it is guaranteed that
AEFG AHJK
K
F
16
E
3
G
00
H
A. True
B. False
The statement that the two triangles are similar based on the given figure is false.
What are Similar Triangles?Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.
So, we know that two similar triangles will have all the corresponding angles equal to each other.
Given two triangles EFG and HJK.
Also, given that,
EG = 8 and HK = 16
EG/ HK = 8/16 = 1/2
∠E = ∠H = 90°
There are no other information given.
If one more corresponding angles are equal, we can use ASA, AAS or AA property, and if one more corresponding side are proportional, we can use SAS postulate.
In this case, we cannot say two triangles are similar.
Hence the statement is false.
Learn more about Similar Triangles here :
https://brainly.com/question/14926756
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PLEASE HELP!!!!!!! WILL GIVE BRAINLIEST
Answer:
16 inches
Step-by-step explanation:
What we know:
The equation y = 3/4x shows the diameter of a trees in x inches gained in y years.
We know y, which is 12, so this becomes x = 4/3y (or x = 4y/3)
x = 4(12)/3
x = 48/3
x = 16
The predicted diameter will be 16 inches.
(Just put 16 in the blank.)
Ellen already knew 50 appetizer recipes before starting culinary school, and she will learn 4 new appetizer recipes during each week of school. After 73 weeks of culinary school, how many total appetizer recipes will Ellen know? Write and solve an equation to find the answer.
Answer:
342
Step-by-step explanation:
50+4x=y
x=73
A yoga instructor offers two options for classes. Option 1: $40 joining fee and $20 per class Option 2$0 joining fee and $25 per class After how many classes will both options have the same cost?
Answer:
The indifference point is 8 classes.
Step-by-step explanation:
Giving the following information:
Option 1:
$40 joining fee and $20 per class
Option 2:
$0 joining fee and $25 per class
First, we establish the total cost formulas:
Option 1= 40 + 20x
Option 2= 0 + 25x
x= number of classes
Now, we equal both formulas and isolate x:
40 + 20x = 25x
40=5x
8=x
The indifference point is 8 classes.
Prove:
Option 1= 40 + 20*8= $200
Option 2= 0 + 25*8= $200
plz help!! will give brainliest!
Answer:
C) 13
Step-by-step explanation:
Ok so
8√3
Consider this function.
(r) = -3r + 3
Which graph represents the inverse of function ?
9514 1404 393
Answer:
C. graph Y
Step-by-step explanation:
Starting with f(r) = -3r +3, the inverse function can be found from ...
r = f(y)
r = -3y +3
r -3 = -3y
(r -3)/-3 = y
y = -1/3r +1
The inverse function will have a slightly negative slope and a y-intercept of 1. This matches graph Y.
A science teacher has 4 2/3 packages of bird seed. Each package weighs 2 1/4 pounds. How many pounds of bird seed does the teacher have in all?
Answer:
9 3/2 pounds or 10.5 pounds
Step-by-step explanation:
4 2/3 x 2 1/4 = 14/3 x 9/4 = 126/12 = 21/12 = 9 3/2 or 10.5
Answer:
10.5 pounds
Step-by-step explanation:
4 2/3 × 2 1/4 = 10.5 or 10 1/2
can anyone help me with this math question
The third is true
ok bye
lm'iranian
11years old
Susan gets $12.75 per hour for babysitting. If she babysits for 2.5 hours, how much money will she earn?
Answer:
31.42
Step-by-step explanation:
A pack of pencils that have 30 pencil in the pack cost $5.99. How much is one pencils cost? (unit rate)
Answer:
$0.19 per pencil
Step-by-step explanation:
$5.99 divided by 30 = 0.19
What is the answer and plz give me step by step explaining
Answer:
7
Step-by-step explanation:54x=60x-42, -6x=-42, divide both sides by six then you get 7
In the parallelogram below,
z = [ ? ]°
What is the slope and y-intercept of the line represented by the equation y=18x+3
Find the slope and y-intercept of the line in each graph. (Explore Activity 1) Please help me
Answer:
1. Slope = -2 , y-intercept = 1
2. Slope = 5 , y-intercept = -15
3. Slope = 1.5 , y-intercept = -2
4. Slope = -3 , y-intercept = 9
Step-by-step explanation:
1. The slope is -2 because using the formula y₁-y₂÷x₁-x₂ you can use the points given to you to get -2. It doesn't matter which one you pick as y1 or y2, just make sure you keep it consistent with the x numberings. I did 1--3 (which becomes 1+3) and 0-2. Those equal 4/-2 which gives you -2. Use these same steps for all of them, but with ones that don't have the points given, just pick two that are whole numbers and not decimals. For finding the y-intercept, just find the point that is on the y axis line. It is given on number one as (0,1). So, the y-intercept is 1. Hope this helps!
Can someone help me with this
Answer:
No, there is 3 times the amount of not yellow chalk than yellow chalk. This proves that the friend is wrong because this exceeds the given total amount of chalk, being 12. If the friend was correct there would be 24 pieces of not yellow chalk and 32 pieces of chalk in total.
The correct pieces of not yellow chalk is 9. The correct pieces of yellow chalk is 3. this can be solved by dividing the total, 12, by 4, because that is the total amount of units. This solves for one unit. Once you know the value of one unit, you can find the total of each type of chalk.
Jada has read 3/5 of a book. She read 75 pages so far. How many pages are in the whole book
Step-by-step explanation:
3/5 of the book = 75 pages
5/5 of the book = 75 * (5/3) = 125 pages
Hence there are 125 pages in the whole book.
Answer:
Concept: Data Analysis
Jada has read 60% of the book So 60% of the book is 75 pages We want to find the whole count of pages An easy way to do this is to see that for every 20% you have 15 pages You need 40% So its 30 pages So 75+30= 105 pageswrite a function for the table
please help I don't get it
Answer:
y = 2x - 5
Step-by-step explanation:
Let us consider the points (- 2, - 9) & (0, - 5)
Equation of line in two point form is given as:
[y-(-9)]/[-9-(-5)] = [x - (-2)]/[-2 - 0]
(y + 9)/(-9 +5) = (x + 2)/ (-2)
(y + 9)/(-4) = (x + 2)/(-2)
(y + 9)/(2) = (x + 2)/(1)
(y + 9) = 2(x + 2)
y + 9 = 2x + 4
y = 2x + 4 - 9
y = 2x - 5
This is the required function.