Solution :
Given the number of the edges are = 11
Therefore we take [tex]$\frac{1}{11}=0.091$[/tex]
And the number of the vials total is = 100
Thus we can multiply = [tex]$100 \times 0.091 = 9.1$[/tex]
From the table provided below, we can obtained :
1. Null hypothesis and alternate hypothesis :
The following null and alternate hypothesis needs to be tested :
[tex]$H_0:p_1=0.091, \ p_2 = 0.091, p_3=0.091, \p_4=0.091, \p_5=0.091, \p_6=0.091, \p_7=0.091,$[/tex] [tex]$p_8=0.091, \ p_9=0.091, \ p_{10}=0.091, \ p_{11}=0.091 $[/tex]
[tex]$H_a :$[/tex] some of the population differ from the values stated in the null hypothesis. It corresponds the Chi-square test that is for the Goodness of the Fit.
2. Rejection region :
It is given --
significance level, α = 0.05
number of degrees of freedom, df = 11 - 1
= 10
Then the rejection region of this test is :
[tex]$R=\{ x^2:x^2 >18.307\}$[/tex]
3. Test statistics
The Chi-Squared statistics is computed as :
[tex]$x^2=\sum_{i=1}^n \frac{(O_i-E_i)^2}{E_i}$[/tex]
[tex]$=7.21+4.089+0.133+0.089+1.056+3.825+2.638+0.924+1.671+0.001+0.001$[/tex]
= 21.638
4. Decision about null hypothesis
Since we see that : [tex]$x^2=21.638>x^2_c = 18.307$[/tex], we can concluded that we can reject the null hypothesis.
5. Conclusion :
It is concluded that the null hypothesis [tex]$H_0$[/tex] is rejected. So there is enough evidence for us to claim that the population proportions differ from that stated in null hypothesis at α = 0.05 significance level.
The sum or two numbers is 59. the larger number is 15 more than the smaller number. What are the numbers
Answer: 37 and 22
Step-by-step explanation:
x + y = 59
x = 15 + y (substitute x as 15 + y into the first equation)
15 + y + y = 59
2y + 15 = 59
2y = 44
y = 22
substitute y as 22 into one of the equations
x = 15 + 22
x = 37
Find three consecutive numbers whose sum equals
999.
Answer:
332, 333, 334
Step-by-step explanation:
First, we acknowledge that the equation that we need to solve will be "x+(x+1)+(x+2)=999" This is because x represents the smallest of three consecutive numbers whose sum is 999. Simplifying this equation will leave us with 3x+3=999 which is simplified further to 3x=996 and again simplified to x=332. X is the smallest number of the three.
If 1=3. 2=3. 3=5. 4=4. 5=4. Then, 6=?
Question: If 1=3. 2=3. 3=5. 4=4. 5=4. Then, 6=?
Answer: Like wise, If 1=3.2=3 3=5 4=4 5=4 Than 6=3
Because of six. Six split in two is 3 therefore 6=3
More: 7=5, 8=5, 9=4, 10=3
Hope this helps~~~
What relationship between the quantities is shown in the table?
The relationship between quantities is +10.
The relationship between quantities is ×11.
The relationship between quantities is – 30.
The relationship between quantities is + 20.
Answer:
x11
Step-by-step explanation:
mega brain IQ
The relationship between the quantities x and y is option B. The relationship between quantities is ×11.
What is Direct Variation?Direct variations are defined as the functions of the form y = kx, where k is a constant.
Here when y increases, x increases and if y decreases, x also decreases.
Given values of x are 1, 2, 3 and 4.
Given values of y are 11, 22, 33 and 44.
We have to find the relationship between x and y.
Let y = f(x).
f(1) = 11, f(2) = 22, f(3) = 33 and f(4) = 44
Clearly we can see that,
f(x) = 11x, which is a direct variation.
When x = 1, f(1) = 1 × 11 = 11
When x = 2, f(2) = 2 × 11 = 22
When x = 3, f(3) = 3 × 11 = 33
When x = 4, f(4) = 4 × 11 = 44
So the relationship is y = x × 11
Hence the relationship between quantities is ×11.
Learn more about Direct Relationships here :
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Your question is incomplete. The complete question is as given below.
Use the table to find the relationship between the two quantities. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table?
The relationship between quantities is +10.
The relationship between quantities is ×11.
The relationship between quantities is –30.
The relationship between quantities is +20.
Which quadrilateral can have 2 pairs of parallel sides, all sides
with equal length, and no right angles?
A square
A triangle
A Rhombus
Trapezoic
Which translation transformed the parent function, f(x),
to g(x))?
a translation right 2 units
a translation left 2 units
a translation up 2 units
a translation down 2 units
Answer:
A. a translation right 2 units
Step-by-step explanation:
JUST DID IT.
Silvia was growing some plants. She measured the height, in inches, of the plants and made thisline plot to show her data:
( please help will give brainliest if you do and do trolling or I’ll report you)
Answer:
The answer is C.
Step-by-step explanation:
The equivalents to 1/4 are 2/8, 3/12, 4/16 etc. So the fractions after 1/4 are higher than 1/4. Then you count how many 'x's are in the columns for those measurements and you will get 6.
At a sale this week, a suit is being sold for $217. This is a 38% discount from the original price. What is the original price?
Answer:
List price (original price) = $350
Discount amount ($ saved) = $133
Step-by-step explanation:
The list price is the sale price ($217) divided by the difference of 1 minus the result of the discount (38%) divided by 100.
The distance around a tree trunk is 69.08 inches. What is the radius of the tree?
Answer:
10.99
Step-by-step explanation:
cuz it is -_-
16 and 3/5 - 4 and 4/5 equals
Answer:
59/5
Step-by-step explanation:
16 and 3/5 = 83/5
4 and 4/5 = 24/5
83/5 - 24/5 = 59/5
what is 2 - 1/8
???????????????????????
Answer:
1 7/8
Step-by-step explanation:
2 - 1/8 = 1 7 /8
1 7/8 + 1/8 = 2
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $1800 and his stock in Company B was worth $1930. The stock in Company A has decreased 16% since last year and the stock in Company B has decreased 20%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answer:
Mar 8, 2020 · 2 answers
Last year, his stock in Company A was worth $7200 and his stock in Company B was worth $3510. The ...
Answer:
18.1%
Step-by-step explanation:
Which three pieces of information contribute the most to your credit score?
Malik joins a gym. He gets $2 per month of the regular monthly rate for 3 months. Malik pays $49.50 for 3 months. What is the gym's regular monthly rate, Show your work
Answer:
$18.50
Step-by-step explanation:
$49.50/3months=$16.50
$16.50+$2=$18.50
Malik joins a gym, then the gym's regular monthly rate will be equal to $18.50.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.
Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given information in the question,
Price paid by Malik in three months = $49.50
Then, monthly price will be,
$49.50/3months = $16.50
Then, the gym's regular monthly rate will be,
$16.50 + $2 = $18.50
To know more about arithmetic operations:
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How many fourths are equal to 1/2? Please help!
1 3/8 equations that are true and different
Answer:
you got this
Step-by-step explanation:
chose what you think is right it works with me so it should work with you
1. The sum of two numbers is 64. One of the numbers is 16 more than 3 times the other. Find the
two numbers.
Answer:
The two numbers are 52 and 12.
Step-by-step explanation:
x+y=64
x=16+3y
Now, substitute the second equation into the first one.
16+3y+y=64
16+4y=64
4y=48
y=12
Substitute 12 into one of the equations in order to find x.
x=16+3(12)
x=16+36
x=52
Find the slope of the line that passes through (8,7) and (5,5)
Answer:
slope= 2/3
Step-by-step explanation:
Slope intercept formula: y2-y1/x2-x1
5-7/5-8 = -2/-3 = 2/3
Find the length of the midsegment of the trapezoid.
Answer:
29
Step-by-step explanation:
The Trapezoid Midsegment segment theorem states that the length of the midsegment is half the sum of the length of its two parallel sides. Therefore:
MN = ½(AB + DC)
MN = ½(21 + 37)
MN = ½(58)
MN = 29
What expression is equivalent to
2/3 X 5
Answer:
1/3
Step-by-step explanation:
1/3 can be used as an expression that is exactly the same as 2/3x5.
When you multiply 2/3 x 5-
Look here if you need help solving 2/3 X 5: (2/3 x 5/1...is the simplest way to multiply the two, make sure to multiply 2 by 5 and 3 by 1 to get your answer.)(5x2=10...3x1=3)
-you get 10/3. This answer simplified is 1/3. So in the end, 1/3 is a great expression or answer to use as an equivalent to the equation 2/3 x 5.
Hoped this helped! :)
The area of the parallelogram is___ cm2
Answer:
Step-by-step explanation:
Area of parallelogram=base×perpendicular height
Area of para.= 7×14
Area of para.= 98cm²
one hectameter is =how much cm?
A=100
B=10000
C=10
D=1000
Answer:
option B is correct because
1 hectameter is equal to 10000cm
factor this quadratic polynomial -8x^2+8
Answer:
This is my answer
Step-by-step explanation:
-8×12+8
-96+8
-88____so this is the answer I solved it properly
6.3.12
The coordinates of point T are (0,5). The midpoint of ST is (2,-2). Find the coordinates of point S.
The other endpoint is
(Type an ordered pair.)
Answer:
[tex]S = (4,-9)[/tex]
Step-by-step explanation:
Given
[tex]T = (0,5)[/tex]
[tex]Midpoint = (2,-2)[/tex]
Required
Find S
Midpoint is calculated as:
[tex]Midpoint = 0.5(x_1 + x_2,y_1+y_2)[/tex]
So, we have:
[tex](2,-2)= 0.5(0+ x_2,5+y_2)[/tex]
Where x2 and y2 are the coordinates of S
Multiply through by 2
[tex]2 * (2,-2)= 2 * 0.5(0+ x_2,5+y_2)[/tex]
[tex](4,-4)= (0+ x_2,5+y_2)[/tex]
[tex](4,-4)= (x_2,5+y_2)[/tex]
By comparison:
[tex]x_2 = 4[/tex]
[tex]5 + y_2 = -4[/tex]
[tex]y_2 = -4-5[/tex]
[tex]y_2 = -9[/tex]
So:
[tex]S = (4,-9)[/tex]
What is the value of -91/5 - 10 + 2/5+ 2(14 1/2-7)
Answer:
Exact Form:
−64/5
Decimal Form:
−12.8
Mixed Number Form:
−12 4/5
Step-by-step explanation:
bc I used a calculator
When 2 dice are rolled, find the probability of getting a sum greater than 8.
Answer: 10/36
When a pair of fair dice are rolled , the total possible cases are (6 × 6) = 36. Out of these 36 cases the following 10 cases are favors(giving the sum > 8) for the happening of the event . These 10 cases are (3, 6), (4, 5), (4, 6),(5, 4), (5, 5), (5, 6) , (6, 3), (6, 4), (6, 5), & (6, 6)
Step-by-step explanation:
6×6=36 possible outcomes and only 15 possible outcomes summing 8 or more than 8.
Since there are six possible outcomes, the probability of obtaining any side of the die is 1/6. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.
if you know that there are 60 minutes in an hour how could you find the number of hours in 300 minutes
Answer:
300/60=5 Hours
Hope it helps
Answer:
5hours
Step-by-step explanation:
................
300÷60
Type your answer in the box.
y = 10 b = 6
Answer:
The answer is -60 (I believe)
Step-by-step explanation:
3(-10)-5(6)
-30-30 = -30+-30
-30+-30= -60
The answer is -60
Step-by-step explanation:
If y = 10 and b = 6 Then
3(-y) - 5b
= 3 *( - 10 ) - 5 * 6
= - 30 - 30
= - 60
Hope it will help :)❤
solve this system of equations by graphing . first graph the equations then type the solution .
y=1/5x-5
y=-3/5x-1
PLEASE HELP ILL GIVE 40 POINTA PLEASE DONT SKIP:(((
9514 1404 393
Answer:
(x, y) = (5, -4)
Step-by-step explanation:
The Desmos graphing calculator is a handy tool for solving questions like this one. It tells you the solution is ...
(x, y) = (5, -4)
whoever gets this correct gets brainliest
Answer:
More. Older
Likey
To vote
Less likely. younger
to
vote