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Related Questions
The amounts of vitamin C (in milligrams) for 100g (3.57 ounces) of various randomly selected fruits and vegetables are listed. Is there sufficient evidence to conclude that the standard deviation differs from 12 mg? Use alpha = 0.10. Use a graphing calculator
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Answer:
The values are missing in the question. They are : 16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2
Step-by-step explanation:
16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2
We calculate sample mean and std deviation from given data.
Sample Mean, [tex]$ {\overset{-}X} =\frac{\Sigma (X)}{n} $[/tex] =269.8/10=26.98
Sample Variance, [tex]$s^2= \frac{\Sigma(X-{\overset{-}X})^2}{(n-1)}$[/tex] =1859.496/9=206.610667
Sample std dev,s=[tex]$\sqrt{s^2}$[/tex]=√206.610667≈14.373958
We want to test two tailed hypothesis:
[tex]$H_0$[/tex] : σ=12
[tex]$H_2$[/tex] : σ≠12
Given: s=14.373958⇒ [tex]$s^2$[/tex] =206.610667,n=10
Significance level, a=0.1 Degrees of freedom, df=n-1=9
Since this is two tailed test, we need area of α=0.1 on either side of critical value. This means area of 0.05 on right of positive critical value.
Critical values are given by [tex]$ X_{1-\alpha/2}^2 =X_{0.95}^2 \text{ and}\ X_{1-\alpha/2}^2 =X_{0.95}^2 $[/tex] with 9 degrees of freedom.
We can use chi-square table or following excel commands:
CHISQ. INV(0.95,9)=3.32511284307
CHISQ. INV (0.05,9)=16.9189776046
Critical Values, [tex]$X_L^2$[/tex]=3.325 and [tex]$X_R^2$[/tex]=16.919
Since this is two tailed test, the decision rule or rejection criteria is:
Reject null hypothesis if test statistic is less than or equal to left critical value OR more than or equal to right critical value, i.e,
Reject [tex]$H_0$[/tex] if [tex]$x^2$[/tex]≤3.325 OR [tex]$x^2$[/tex]≥16.919
Test statistic is given by [tex]$X^2=\frac{(n-1)s^2}{\sigma^2}$[/tex] =((9)*206.610667)/144=12.913167
Test statistic, [tex]$x^2$[/tex]=12.913
since test statistic is between two critical values, we (do not reject [tex]$H_0$[/tex]) (i.e, we fail to reject [tex]$H_0$[/tex].
Conclusion: There is (not sufficient) evidence to conclude that standard deviation is not equal to 12 .
Alternatively, we can use p-value approach. The decision rule or rejection criteria is: reject null hypothesis if p-value is less than or equal to significance level (α), i.e, reject [tex]$H_0$[/tex] if p-value ≤0.1
P-value is twice the (smaller) tail area of test statistic because this is two tailed test. We can use excel function to find this. 2*M IN (CHISQ.DIST (12.913167,9, TRUE ) 1-CHISQ.DIST 12.913167,9, TRUE ) =0.333149809868
P-value =0.3331
since p-value is greater than significance level (α),we (do not reject [tex]$H_0$[/tex]) (i.e, we fail to reject [tex]$H_0$[/tex]).
Conclusion: There is (not sufficient) evidence to conclude that standard deviation is different from 12 .
Kirk's goal was to save $300 for a trip. In the first week, Kirk saved $16 from his allowance and $54 from his job. He spent $5 for lunch one day and another $2 on the bus. The second week, Kirk saved $62 and another $41 but spent $2 for the bus and $4 for lunch. How much money did Kirk save after 2 weeks? Choose the correct answer below and fill in the answer box to complete your choice.
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Answer:
160 dollars.
Step-by-step explanation:
16+54= 70
5+2=7
70-7=63
62+41=103
2+4=6
103-6=97
97+63=160
Hope this helps! ^^
Answer:
║Ф║Hello Person!║Ф║Your answer should be:
460300+16+54-5-2+62+41-2-4= 460
Step-by-step explanation:
Δ I hope this helped you! Δ
(I would appreciate a brainliest!)
║∅║Thanks for your time!║∅║
.50 x 32? Please help. i will mark brainliest!
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you multiply them to get this answer
The line of reflection is
and the coordinates of C are
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Points A′, B′, and D′ are shown, but the line of reflection and point C′ are not . coordinates of C from the graph = (4,2) If the coordinates of C'=(6,2) we can see that value of y isn't change with reflection therefore the line of reflection would be x= ordinate of C'+ ordinate of C divided by 2=6+4 divided by 2=10 divided by 2=5. Therefore, the line of reflection must be x=5.
Hi i understand that the answer to the missing coordinate is 0 but can somebody explain to me how to get there? When i try to do the problem I get 5 even though the correct answer seems to be 0. Please help me.
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E=mc² m=3 c=6 solve for E
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Answer:
E=108
Step-by-step explanation:
[tex]E=mc^2\\\\m=3\\\\c=6\\\\E=(3)(6)^2\\\\E=3*36\\\\E=108[/tex]
Steps to solve:
E = mc^2 when m = 3 and c = 6
~Substitute
E = (3)(6)^2
~Simplify
E = 3(36)
~Multiply
E = 108
Best of Luck!
10 POINTS : What is the solution? (the x-value)
-0.41x + 2.9 = 8.1x + 45.64
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Answer:
x= - 4274/851 or -5.02
Step-by-step explanation:
A candy jar has 24 candies. One-third of the candies are chocolate of the leftover candies, half are gummy bears and the other half is skittles. How many skittles are in the jar
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Answer:
8
Step-by-step explanation:
one third of 24 is 8 and then you have 16 leftover so you divide 16 by 2 and you will get 8
A landscape architect wants to plant a circle of flowers around a triangular garden. She has sketched the triangle on a coordinate grid with vertices at A (0, 0), B (8, 12), and C (18, 0). Explain how the architect can find the center of the circle that will circumscribe triangle ABC. Then find the radius of the circumscribed circle.
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Answer:
The center of the circle is the point (6,3)
-5, -6, 0,6
Which pair of numbers has a sum of zero? (5 points)
-6,0
-5,6
6, -6
-5,0
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Answer:
6,-6
Step-by-step explanation:
6+(-6)=6-6=0
The answer is 6,-6
40 points first ten digits of pi do not copy and paste if you do i can tell and I will report you
Answers
The answer is [ 3.1415926535 ]
pi or π is used to find the area and circumference of a circle. You can either solve it in terms of pi or solve with pi being 3.14.
Best of Luck!
Find the equation of the line with slope 7 which goes through the point (-2,-9). Give your answer in slope intercept form y=mx+b
Answers
Answer:
I need the to solve dis question
Answer: y=7x+5
Step-by-step explanation:
How is density calculated given mass and volume? 1.) Mass divided by volume 2.) Mass multiplied by volume 3.) Sum of volume and mass 4.) Difference of volume and mass
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Answer:
1.) Mass divided by volume
Step-by-step explanation:
The definition of density is "mass per unit volume." It is calculated by dividing mass by volume.
Find the indicated values, where gt) = 12 - and Ax) = 1 + X.
g(f(2) + 3)
a. 1
b. 3
c. 30
d. -1
Please select the best answer from the choices provided
ΟΑ
B
OD
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Answer:
c
Step-by-step explanation:
6x4y 12xy2 6x5y3
What is the greatest common factor (GCF) of the monomials shown above?
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Answer:
6xy
Step-by-step explanation:
GCF of the given monomials consists of 3 parts:
Constant coefficient = 6, 12, 6 ⇒ 6Variable x = degree 4, 1 and 5 ⇒ degree 1 Variable y = degree 1, 2 and 3 ⇒ degree 1Combined all, the greatest common factor is 6xy
6x⁴y = 6xy * x³12xy² = 6xy * 2y 6x⁵y³ = 6xy* x⁴y²Mike and Julie are making slime. The table shows the number of drops of blue food coloring and the number of drops of red food coloring they use in each batch Drops of Food Coloring Number of blue drops Number of red drops 20 4 40 8 60 12 80 16 What is the constant of proportionality of the ratio of the number of blue drops used to the number of red drops used? 0.2 0.5 2 5
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Answer:
5 drops
Step-by-step explanation:
The proportion of brown M&M's in a milk chocolate packet is approximately 14%. Suppose a package of M&M's typically contains 52 M&M's.
A) State the random variable.
B) Argue that this is a binomial experiment.
Find the probability that:
C) 6 M&M's are brown.
D) 25 M&M's are brown.
E) All of the M&M's are brown.
F) Would it be unusual for a package to have only brown M&M's? If this were to happen, what would you think is the reason?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the scenario above :
A) State the random variable.
The random variable is the p opoertion of brown M&M's in a milk chocolate packet.
B.) Argue that this is a binomial experiment.
Each trial is independent for a total number of 52 trials with a set probability of success at 0.14
C) probability that 6 M&M's are brown:.
P(x) = nCx * p^x * (1-p)^(n-x)
p = 0.14 ; (1 - p) = 0.86 ; n = 52 ; x = 6
P(x = 6) = 52C6 × 0.14^6 × 0.86^46
= 20358520 × 0.00000752954 × 0.00097035078
= 0.1487
D) P(x =25)
P(x = 25) = 52C25 × 0.14^25 × 0.86^27
= 477551179875952 × 449.987958058*10^(-24) × 0.01703955245
= 0.00000000366
E) P(x = 52)
P(x = 52) = 52C52 × 0.14^52 × 0.86^0
= 1 × 3968.78758299*10^(-48) × 1
= 3968.78758299*10^(-48)
F) yes it would be unusual, because such probability is extremely low. However, if a huge or substantial number of trials such may occur
An eastern airport has recorded a monthly average of five near misses of landings and takeoffs in the past 5 years. We assume that the distribution of this number is Poisson. a. Find the probability that during a given month there are no near misses on landings and takeoffs at the airport. b. Find the probability that during a given month there are five near misses. c. Find the probability that there are at least five near misses during a particular month.
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Answer:
The answer to this question can be defined as follows:
In option a "0.0067".
In option b "0.1755".
In option c "0.5595".
Step-by-step explanation:
It is about the distribution of Poisson:
[tex]\lambda = 5 (rate)[/tex]
t = 1
The formula for calculating Mean:
[tex]\to \mu = \lambda \times t[/tex]
[tex]\to P(X=x) = \frac{e^{-\mu} \mu^{x}}{x!}[/tex]
calculate the value of Mean:
[tex]\to \mu =5 \times 1\\\\ \to \mu= 5[/tex]
In point a:
When the value of x is equal to 0:
[tex]\to P(X = 0) = \frac{e^{-5} 5^{0}}{0!}[/tex]
[tex]= \frac{e^{-5} \times 1 }{0}\\\\ = 0.0067 \times 1 \\\\ = 0.0067[/tex]
In point b:
When the value of x is equal to 5:
[tex]\to P(X = 0) = \frac{e^{-5} 5^{5}}{5!}[/tex]
[tex]= \frac{e^{-5} \times 3125 }{120}\\\\ = \frac{0.0067 \times 3125}{120} \\\\ = \frac{21.0560}{120}\\\\ =0.1754 \\\\[/tex]
In point c:
When the value of x is equal to 5:
[tex]\to P(X \ge 5) = 1 - P(X < 5) \\\\ \to P(X \ge 5) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3) - P(X = 4) \\\\ \to P(X \ge 5) = 0.5595[/tex]
Look at this equation. 2t = 10 Solve for t. Which of the following can you use to make sure your answer is correct? Question 2 options: Substitute 2 for t in the equation t = 5. Substitute 5 for t in the equation t = 5. Substitute 5 for t in the equation 2t = 10. Substitute 2 for t in the equation 2t = 10.
Answers
Answer:
Substitute 5 for t in the equation 2t = 10.
Step-by-step explanation:
2t = 10
t = 10/2
t = 5
Substitute 5 for t in the equation 2t = 10.
The solution for the equation 2t = 10 is t = 5.
This can be made sure by "Substitute 5 for t in the equation 2t = 10".
Given an equation:
2t = 10
The equation has to be solved and find the value of t.
Divide both sides of the equation by 2.
t = 10/2
= 5
Now, the value of t = 5, which is the solution of the equation 2t = 10.
So, in order to check the correctness of the solution, substitute the solution for the value of t into the original equation, 2t = 10.
Hence the solution is t = 5, and the option to check it is c.
Learn more about Equations here :
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Point G is on line segment FH. Given FH = 5x + 2, GH = 5x – 9, and
FG = x + 5, determine the numerical length of FG.
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Answer:
Step-by-step explanation:
11
Find the difference of -4 -(5)
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Solve the equation 1/4 (x+2)+5=-x
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Answer:
Exact Form:
x=−225
Decimal Form:
x=−4.4
Mixed Number Form:
x=−4 2/5
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
1/4 (x-2) + 5 = x
1/4 (x-2) = x - 5
x - 2 = 4(x-5)
x-2 = 4*x + 4*-5
x-2 = 4x - 20
x - 4x = 2 - 20
-3x = -18
x = -18/-3
x = 6
Check:
1/4(6-2) + 5 = 6
1/4(4) + 5 = 6
1 + 5 = 6
Chico is saving for new shoes that cost $87. He already has
$9 saved, and he will save the same amount each week.
Chico wants to buy the shoes in 6 weeks.
What is the least amount Chico can save each week and still
buy the new shoes in 6 weeks?
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Answer:
he has to save $13 every week for six weeks which equals 78, and 78+9 is 87
Prove that Associative property does not hold true for 8 / 9 – ( 9 / 10 – 2 / 5 )
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What is 6 divided by 131.4
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0.045662100456621
6/131.4
Answer:
.0456621
Step-by-step explanation:
simpily divide the two and youll get .0456621
Find the Slope using the Slope
Answers
Answer:
5/5 which simplifies to 1
Step-by-step explanation:
Answer:
m= 5/5
Step-by-step explanation:
y2= 9
y1=4
x2=8
x1=3
9-4 = 5
8-3 = 5
Therefore the slope/rate of change is 5/5
Evaluate 27 x 1/3 to the third power.
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Answer:
If i'm not mistaken its 1
Step-by-step explanation:
Order the fractions from least to greatest. 2/3 ,4/9,5/6,7/12
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Answer:
4/9 , 7/12 , 2/3 , 5/6
Step-by-step explanation:
2/3 × 12/12 = 24/36
4/9× 4/4= 16/ 36
5/6 × 6/6 = 30/36
7/12× 3/3 = 21/ 36
2 [30- (28-2)] +5
answer with explanation please!
Answers
Answer:
13
Step-by-step explanation:
Simplify the following:
2 (30 - (28 - 2)) + 5
Hint: | Subtract 2 from 28.
| 2 | 8
- | | 2
| 2 | 6:
2 (30 - 26) + 5
Hint: | Subtract 26 from 30.
| 2 | 10
| 3 | 0
- | 2 | 6
| 0 | 4:
2×4 + 5
Hint: | Multiply 2 and 4 together.
2×4 = 8:
8 + 5
Hint: | Evaluate 8 + 5.
8 + 5 = 13:
Answer: 13
well first u will solve the numbers in the brackets;
=2 (30-6)+5
=2 (23)+5
then 2 will be multiplied with 23;
=46+5
=51
the answer is 51.
In which quadrant do each of the points lie?
A. (5,-2) B. (-1, -6)
1. 1 AND 2
2. 2 And 3
3.3 and 4
4. 3 and 1