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 .
A triangle has a perimeter of 26 inches. The medium side is 6 more than the short side, and the longest side is 3
times the length of the shortest side. Find the shortest side?
Answer:
where is your formula? pliz tell me
Before each class, I either drink a cup of coffee, a cup of tea, or a cup of water. The probability of coffee is 0.7, the probability of tea is 0.2, and the probability of water is 0.1. If I drink coffee, the probability that the lecture ends early is 0.3. If I drink tea, the probability that the lecture ends early is 0.2. If I drink water, the lecture never ends early. 1) What’s the probability that I drink tea and finish the lecture early? 2) What’s the probability that I finish the lecture early? 3) Given the lecture finishes early, what’s the probability I drank coffee?
Answer:
1. Probability of drinking tea and finishing the lecture early = 0.2 * 0.2 = 0.04 or 4%
2. Probability of finishing the lecture early = 50% (0.3 + 0.2).
3. Probability of drinking coffee = 0.21 or 21% (0.7 * 0.3)
Step-by-step explanation:
a) Data and Calculations:
Probability Early Ending Expected Probability
Coffee 0.7 0.3 0.21
Tea 0.2 0.2 0.04
Water 0.1
b) The probability of drinking coffee, tea, or water is the chance that the lecturer drinks either coffee or tea or water. The combined probability of the three actions is always 1. The expected probability is the weighing of the probabilities with another event, ending the lecture early. This is obtained by multiplying their respective probabilities.
3.5 with a line on top of five =
Answer:
7/2
Step-by-step explanation:
If f(x)= x+7 and g(x)= 1/x-13
16.56 divided by 0.08=
Answer:207
Step-by-step explanation:
Ashley has already knit 2 centimeters of scarf, and can knit 2 centimeters each night. Write an equation that shows the relationship between the nights x and the length knit y.
Answer:
2+2x=y
Step-by-step explanation:
We start our equation with 2 since that is how much she aldredy knit then we do X*2 or 2x =y then we put the 2 so 2+2x=y
if t(x)=-x+3, then what is f(x)=(t*t)(x)
Answer:
[tex]f(x) = {x}^{2} - 6x + 9[/tex]
Step-by-step explanation:
If f(x) = (tt)(x), that's essentially squaring t(x) so
[tex]f(x) = {t(x)}^2 \\ f(x) = (-x +3)^2 \\ f(x) = (-x +3)(-x +3) \\ f(x) = -x(-x +3) +3(-x +3)\\ f(x) = x^2 -3x -3x +9 \\ f(x) = x^2 -6x +9[/tex]
(3x2 - 5x + 6) + (2x2 + 7x - 9)
Which of the following is equivalent to the expression above?
change to a fraction 3.025
Answer:
3.025 as a fraction is 121/40
Identities in maths 4sin30°cos45° What is the answer?
Answer:
[tex]4*1/2*\sqrt{2} /2=\sqrt{2}[/tex]
Step-by-step explanation:
An error has been made in subtracting the two polynomials shown in the work below the problem is (6x^2-4x-5)-(3x^2-7x=2)
Answer/Step-by-step explanation:
Let's work out the subtraction of the polynomial to find out where the error is and the correct result we should have.
6x² - 4x - 5
- 3x² - 7x + 2
= [6x² - 3x²] [-4x -(-7x)] [-5 -(+2)]
= 3x² + 3x - 7
The error that was made in the subtraction given in the question was that the negative signs before the terms, 7x and 5 were ignored while subtracting.
The sign is very important, it defines the value of the term.
We can choose to solve the problem in another way shown below:
(6x² - 4x - 5) - (3x² - 7x + 2)
Distributive the negative sign in the second polynomial
6x² - 4x - 5 - 3x² + 7x - 2
Combine like terms
6x² - 3x² - 4x + 7x - 5 - 2
3x² + 3x - 7
A truck can be rented from Company for 50 dollars a day plus 0.50 per mile. Company B charges 30 dollars a day plus 0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for company A and company B are the same.
Answer:
no company a gets 3 miles company b gets 5 miles
Step-by-step explanation:
2. Graph the system of inequalities. Make sure your solution area is clear in your graph.
Then name a Solution Point____________ & a Non-Solution Point_____________
y ≥ 2x - 1
y ≥ -4
y < -x + 2
Fun fact:
The longest word in any of the major English language dictionaries is pneumonoultramicroscopicsilicovolcanoconiosis, a word that refers to a lung disease contracted from the inhalation of very fine silica particles, specifically from a volcano; medically, it is the same as silicosis.
Cool right? Here are more fun facts.
1 “I am” is the shortest complete sentence in the English language.
2 Supercalifragilisticexpialidocious (*breath*) is NOT the longest word in English.
Like that?
Banging your head against a wall for one hour burns 150 calories.
In Switzerland it is illegal to own just one guinea pig.
If you are given the measurements If two sides of a triangle, what will be true about the triangle you make?
Answer:
You can make infinitely many unique triangles.
Step-by-step explanation:
You aren't given the measure of the angle that the two given sides form, therefore, the two given sides could form any angle greater than 0° but less than 180°. In each different "case", the triangle will be different, hence, the answer is You can make infinitely many unique triangles.
Answer:
you can make infinitely many unique trangles
Step-by-step explanation:
trust em i did it and got it right
Write the equation of the line in point-slope form that passes through the given point with the given slope (1,5); m = -3
Answer:
y - 5 = -3(x-1)
Step-by-step explanation:
We have the slope and a point
Point slope form is
y-y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y - 5 = -3(x-1)
Find the z score that cuts-off the largest 9% under the standard normal curve. a) -1.34 b) 1.34 c) 0.536 d) 1.28
Answer:
b) 1.34
Step-by-step explanation:
The z score is used to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the z score is above the mean while for a negative z score implies that it is below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
For the largest 9%, the score is 100% - 9% = 91% = 0.91
From the normal distribution table, the z score that corresponds to 0.91 is 1.34
How do we Round with any numbers, (on a number line) ?
Answer:
round it to the nearest 10th?
Step-by-step explanation:
that's what I do at least.
Answer: Round up or down.
Step-by-step explanation: When you round up, look at the number to the right of the number you wanna round. If it’s less than 5, you round down, if it’s more than 5, you round up. On a number line, for ex. Let’s say you wanna round 550 to hundreds, 600 or 500, 600 would be the answer because 550 is more closer to 600 by default.
if I spend 6/11 of my money on books what fraction of it will remain
Which of these distributions is most likely to show data collected while studying the number of the plates people use while eating at an all you can eat buffet explain your reasoning
Answer: The second distribution.
Step-by-step explanation:
We should to expect to see a large density for the lowest number of plates (because is more common to eat 1, 2 or 3 plates than more)
For example, in the first distribution, we can see a normal distribution with a mean of 6.
This does not really make sense, because 6 plates is really a lot.
The third distribution has two peaks, one at 1 plate that has a lot of sense, and another at 10 plates, so this also does not have really a lot of sense (again, 10 plates is really a lot)
The fourth distribution seems to be even for all the number of plates, which would say that there is almost the same number of customers that eat 1 or 2 plates than the number that eats 9 or 10. This does not seem really logical, so we can assume that this is incorrect.
The second distribution is the correct one, because we see a larger density at a smaller number of plates (with a maximum at 2 plates) and the number of customers starts decreasing as the number of plates decreases (in this case, we can see that no one ordered more than 9 plates, which makes a lot of sense)
ASAP!!! Please help! Due in 15 mins!!!! Help me plsss!!!!
Which equation represents the function described by this table?
A) f (x) = x + 7
B) f(x) = -7x
C) f (x) = x - 7
D) f (x) =7x
Choose the appropriate descriptor for the term gram. mass volume length area
Answer:
Mass is the appropriate term.
Step-by-step explanation:
what is
(-1/3)+1/4+(-1/5)
Answer:
-17/60
Step-by-step explanation:
(-1/3)+1/4+(-1/5)
For the right triangles below, find the exact values of the side lengths b and d.
If necessary, write your responses in simplified radical form.
60°
30°
5
b
=b
45°
45°
d
7
=d
Answer:
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached below;
According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"
According to SOH, CAH, TOA;
tanθ = opposite/adjacent (using TOA)
Given;
θ = 30°, opposite = 5 and adjacent = b
tan30° = 5/b
b = 5/tan30°
b = 5/(1/√3)
b = 5*√3/1
b = 5√3
According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7
Using SOH;
sinθ = opposite/hypotenuse
Given;
θ = 45°, opposite = d and adjacent = 7
sin45° = d/7
d = 7sin45°
d = 7(1/√2)
d = 7/√2
Rationalize 7/√2
= 7/√2*√2/√2
=7√2/2
Hence the value of d is 7√2/2
Evaluate 3|−5| − 2|−2|
Answer:118
Step-by-step explanation:
3!-5!-2!-2! =? IF ! MEANS FACTORIAL, 3! MEANS 3X2X1=6,
-5! MEANS -5X4X3X2X1=-120
-2!= -2X1=-2
-2!=-2X1=-2
PROBLEM BECOMES 6--120-2-2=118
A forensic accountant usually takes additional coursework in which field?
Answer:
law enforcement
Step-by-step explanation:
can yall please start answering more questions about the subject
Solve the equation . Check your solution
Answer:
x=48/8=6
Step-by-step explanation:
simple form
8x-48=0
fractionized
8(x-6)=0
1) round 24,837,618 to the ten thousands place.
I need help on my college math pls help me it needs to be shown work on paper!
Answer:
24,840,000
Step-by-step explanation:
The number in the ten thousands place is 3. The number to the right of it is 7. Since 7 ≥ 5, we round up the 3 to a 4.
24,837,618 ≈ 24,840,000
The local Jazz Club met 50 times last year. At each meeting there were 20 slots on the playlist, with one tune played in each slot. A careful study of the playlists for last year showed that: 40% of the slots were used for tunes that were not played at any other time that year. 45% of the slots were used for tunes that were played just twice. Half of the remaining slots were used for tunes that were played 3 times. There were only 5 other tunes played during the year, and the number of times that these were played was in the ratio 5 : 4 : 3 : 2 : 1. How many different tunes will a member who attended all meetings have heard during the year?
A655
B 705
C 880
D 930
Answer: It’s A, 655.
The total number of different tunes will a member who attended all meetings have heard during the year is 655 and this can be determined by using the given data.
Given :
The local Jazz Club met 50 times last year. At each meeting there were 20 slots on the playlist, with one tune played in each slot. A careful study of the playlists for last year showed that: 40% of the slots were used for tunes that were not played at any other time that year. 45% of the slots were used for tunes that were played just twice. Half of the remaining slots were used for tunes that were played 3 times.There were only 5 other tunes played during the year, and the number of times that these were played was in the ratio (5 : 4 : 3 : 2 : 1).The total number of slots is given by:
[tex]50\times 20 = 1000[/tex]
So, the total number of tunes in each slot is 1000.
The total number of remaining tunes is given by:
[tex]=1000-(400+450)[/tex]
= 150
According to the given data half of the remaining tunes were played thrice that is 75 tunes were played thrice and only 5 other tunes were played out of the remaining 75 tunes.
So, the total number of tunes a member will hear is given by:
[tex]=400+\dfrac{450}{2}+\dfrac{75}{3}+5[/tex]
= 655
So, the total number of different tunes will a member who attended all meetings have heard during the year is 655.
For more information, refer to the link given below:
https://brainly.com/question/23017717
What is the name of this shape?
Answer:
octagon
Hope it helps
I am sure about this
PLEASE HELP!!!!!!!!!!!!!!!!! | For what values of y does the following equation have no solutions for x? | xy + 5y + 4x + 20=1
Answer:
y = -4
Step-by-step explanation:
We can solve for x to see.
x(y+4) +5y +20 = 1
x(y +4) = -19 -5y . . . . . subtract 5y+20
x = (-19 -5y)/(y +4)
x is undefined (no solution) for y = -4.
Answer:
y = -4
Step-by-step explanation:
If we look at xy + 5y, we see that both terms share a factor of y. This gives us
y(x + 5) + 4x + 20 = 1
Similarly, 4x and 20 share a factor of 4, giving us
y(x + 5) + 4(x + 5) = 1
Now we see that these two terms share a factor of x + 5, so factoring gives us
(y + 4)(x + 5) = 1
Dividing both sides by y+4 gives us
x + 5 = 1/(y + 4)
Finally, we subtract both sides by 5 to get
x = 1/(y + 4) - 5
Thus, since we can not have a 0 in the denominator, we see that if y = -4 then x will have no solution. For any other value of y, we can find the solution for x using this equation.