A sample of 40 CDs from a student's collection showed a mean length of 52.74 minutes with a standard deviation of 13.21 minutes. Construct a 95% confidence interval for the population standard deviation. (Round your answers to 4 decimal places.) The 95% confidence interval is from to .
Answer:
(48.65, 56.83)
Step-by-step explanation:
Given that :
Sample size (n) = 40
Mean (m) = 52.74
Standard deviation (s) = 13.21
α = 95%
Confidence interval around sample mean can be obtained using the relation :
Mean ± Zstatistic * s/√n
Z score for 95% confidence interval = 1.96 (Z probability calculator)
s / √n = 13.21 / √40 = 2.0886843
Lower limit of confidence interval :
52.74 - (1.96 * 2.0886843) = 48.646178772 = 48.65
Upper limit of confidence interval :
52.74 + (1.96 * 2.0886843) = 56.833821228 = 56.83
please help! it’s due rn
Answer:
It's 9
Step-by-step explanation:
2x+10=3x+1
-x=-9
x=9
Answer all of these and I will give you 35 points!!!!!!!!!!!!!!!!!!!!!
9. LCM of 9, 12, and 15 is 180
12. LCM of 15, 18, and 30 is 90
15. LCM of 40 and 1 is 40
16: factors of 24 : 1,2,3,4,6,8,12, and 24
17: factors of 63 : 1, 2, 4, 8, 16, 32 and 64.
18: factors of 50 : 1, 2, 5, 10, 25, and 50
19: LCM of : 3 , 2 , 7 is 42
20: LCM of : 15 , 2 is 30
21: LCM of : 45, 30 is 90
what is 1(0b+10a) ???????????????????
Answer:
10b+10a
Step-by-step explanation:
Answer:
The answer is 10a
Step-by-step explanation:
(1)(0b+10a)
=(1)(0b)+(1)(10a)
=0+10a
=10a
Hope this helps :)
There are a total of 64 students in the volleyball and basketball varsity team. The
volleyball team has 10 more students than the basketball team. How many students are in
each team?
37 volleyball students and 27 basketball students
O 27 volleyball students and 37 basketball students
42 volleyball students and 22 basketball students
O 22 volleyball students and 42 basketball students
Given h(x)=-5x-3h(x)=−5x−3, find h(3)
The value of h(3) will be equal to -18.
What do you mean by domain and ranges of a function ?
The domain is the set of all values for which the function is defined and the range of the function is the set of all values that function takes.
As per the question ;
Given function is ;
h(x) = -5x - 3
Here , we have to find out the value of h(x) for x = 3 , and this can be solved if we put the value of x in the expression x - 3.
We know that a function is defined for domain and range , so we have to give a domain here which is x = 3.
So , for x = 3 ;
h(3) can be calculated as follows ,
=(-5 × 3 ) - 3
Firstly we will solve the term within the parentheses.
= -15 - 3
and now we will add both the negative terms and we will get the value of h (3) which is ,
= -18
Thus , the value of h(3) will be equal to -18.
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Which equation represents a line that passes through the two points in the
table?
OA.y-1-(x-1)
B. y-6-(x-5)
OC. y+6=(x+5)
OD. y+1-2/(x+1)
X
1
5
сл
y
1
6
Answer:
A
Step-by-step explanation:
Plug in both point values into each of the equations and see if the LHS = RHS.
Only eq A satisfies for both points
eq B satisfies for point (5,6) but not for (1,1)
Equations C and D satisfy for neither point
The equation of the straight line passing through the points (1, 1) and (5, 6) is 4y = 5x - 1.
What is the general equation of straight line?The general equation of a straight line is -
y = mx + c
Here {m} is the slope which also denotes the unit rate. Unit rate is the rate at which the value of {y} changes per unit change in the value of {x}.
Given is the table as shown in the figure.
The line passes through the points (1, 1) and (5, 6). We can write the slope of the line as -
m = (6 - 1)/(5 - 1)
m = 5/4
So, we can write the equation as -
y = 5x/4 + c
For the point (1, 1), we can write -
1 = 5/4 + c
c = 1 - 5/4
c = (4 - 5)/4
c = -1/4
So, the equation will be -
y = 5x/4 - 1/4
y = (5x - 1)/4
4y = 5x - 1
Therefore, the equation of the straight line passing through the points (1, 1) and (5, 6) is 4y = 5x - 1.
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a figure is made of to rectangular prisms what is the volume?
Answer:
why did u delete my comment
Step-by-step explanation:
An ordinary die with numbers 1 through 6. Imagine such a die is rolled twice in session and the face values of the two rolld are added together. The sum is recorded as an outcome of a single trial if a random experiment. Compute the probability if rhe sum is decided by 5
The probability of getting the sum 5 on the faces of both dice is 1/9.
What is defined as the probability?Probability is a branch of mathematics that deals with numerical descriptions of just how likely an occurrence is to occur or how likely a proposition is to be true.
The probability of an event occurring is a number ranging from zero and 1, where 0 indicates the event's impossibility and 1 indicates certainty.Probability (event) = favourable outcome/ total outcome.
There are 36 possible outcomes when rolling two dice. Keep in mind that now the "sample space" is a set that includes all possible outcomes.
(1,1) (2,1) (3,1) (4,1) (5,1) (6,1)
(1,2) (2,2) (3,2) (4,2) (5,2) (6,2)
(1,3) (2,3) (3,3) (4,3) (5,3) (6,3)
(1,4) (2,4) (3,4) (4,4) (5,4) (6,4)
(1,5) (2,5) (3,5) (4,5) (5,5) (6,5)
(1,6) (2,6) (3,6) (4,6) (5,6) (6,6)
The sample space for getting the sum as 5 on both faces is;
S = {(4,1), (3,2), (2,3), (1,4)}
Thus, the favourable outcome is 4
The total outcome is 36.
P (sum as 5) = favourable outcome for 5/total outcome
P (sum as 5) = 4/36
P (sum as 5) = 1/9
Therefore, the probability that sum is 5 on both the faces of dice is 1/9.
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Solve 4/5x-9=3
Need help.
Answer:
x = 15
Step-by-step explanation:
4/5x - 9 = 3
add 9 to both sides
4/5x = 12
multiply both sides with 5/4
(4/5x)5/4 = 12(5/4)
x = 15
Lin's family has completed 60% of a trip.They have traveled 30 Miles. How long is the whole trip?
Answer:
40 miles
Step-by-step explanation:
100 - 60 = 40. 40%
60 ÷ 30 = 2. 2 miles = 10%
10 * 4 = 40
The main span of Bridge A (2800 feet) is _____ percent shorter than the main span of Bridge B (4500 feet).
The Bridge A' main span is 60% shorter than the span of the Bridge B.
What is defined as the percentage difference?The percentage is the difference between two parameters divided by the average of those values.
It is used to express the distinction between two related data as a percentage. For instance, you can evaluate the price of a computer this year with the cost of a laptop last year.Now, as per the given question;
Bridge A' span = 2800 feet.
Bridge B' span = 4500 feet.
Percentage difference in span length :
[(difference in span) / span of B] × 100%
Difference in span = 4500 - 2800 = 2700
Now, calculate the percentage difference;
Percentage difference = (2700 / 4500) × 100%
Percentage difference = 0.6 × 100% = 60.0 %
Therefore, the main span of the Bridge B is 60% longer than the main span of bridge A.
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Solve for x. x - 7 = 25
Answer:
x = 32
Step-by-step explanation:
x - 7 = 25
To solve equations, you do the some thing to both sides to isolate x.
After adding 7 to both sides we have:
x = 32
Answer:
x = 32
Step-by-step explanation:
⇒ Isolate the variable x by adding 7 to both sides:
x – 7 + 7 = 25 + 7
⇒ Evaluate the equation to finally get:
x = 32
Hope this helps! :)
guess the number pleaseeee
Which shows the correct method for solving the equation below? One-third (y minus 9) = 3 A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 3, one-third y = 6, y = 18. Column 2 is labeled property used with entries distributive property, addition property of equality, multiplication property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 27 = 3, one-third y = 30, y = 10. Column 2 is labeled property used with entries distributive property, subtraction property of equality, division property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 1, one-third y = 4, y = 12. Column 2 is labeled property used with entries distributive property, addition property of equality, division property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 3, one-third y = 0, y = 0. Column 2 is labeled property used with entries distributive property, subtraction property of equality, division property of equality.
Answer:
It’s A took test
Step-by-step explanation:
Answer: I'm pretty sure it's A!
Step-by-step explanation: It's on Edge, hope this helped :)
You roll a six-sided die and then draw a card from a standard deck of 52 cards. What is the probability of rolling a 2 and then drawing a diamond?
The answer may be approximated.
A) 12.5%
B) 10%
C) 41.7%
D) 4.2%
Answer:
I think C
Step-by-step explanation:
3 intersecting lines are shown. A horizontal line contains points R, A, T, S. Another line intersects at point A and also contains D, A, C. Line A B extends away from the center of the other intersecting lines.
Analyze the diagram to answer the questions.
Another way to name AngleSAC would be Angle.
A point on ray AS is .
Line segment A R and Line segment A B create Angle.
Answer:
C or A I think it's correct
Cell phones can weigh as little as 59 grams. How many
kilograms can the cell phone weigh?
A 34 oz bottle of a new soda costs $3.63. What is the unit rate, rounded to the nearest tenth of a cent?
3.63/34= 0.1067647058823...
that means each oz of soda is 10.7 cents
PLS HELP PUT THE LETTERS NOT NUMBERS 20 POINTS AND BRAINLIEST
convert into power notation -125/343
the median of 4 numbers is 48
3 of the numbers are:
42, 51, and 52
what is the other number
When 3 among four numbers are 42,52,52 and their median is 48 then the fourth number is 45.
What is Median?
Median is the middle number when the given numbers are arranged in ascending or descending order, basically it divides the data into two halves the one is higher half another is lower half of the data.
For even numbers of data we find median by first arranging the data in ascending order then we take average of the two middle terms.
Given that among 4 numbers three are 42,51,52
Assume that the fourth no be x and also Assume that it is among the middle two numbers as median is given 48 to find this number?
Then the data arranged in ascending order is
42,x,51,51
Median=
[tex]\frac{x+51}{2} =48\\x+51=96\\x= 45[/tex]
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PLEASE HELP FAST ILL MARK AS BRAINLIEST
Answer:
the last one
Step-by-step explanation:
Are
12/20
and
equivalent fractions?
22/30
Α. No
B. Yes, because both fractions are divisible by 2
C. Yes, because the difference between the denominator and numerator in each fraction is 8.
D. Yes, because they can both be simplified
Answer:
Step-by-step explanation:
No because 12/20 is not lower form of 22/30
12+3/5x−8−7/10x=?
Does anybody know what the answer to this question is?
I am really in a hurry. If the answer is true, please tell me. Thank you very much!
(The person who gets it right is going to be the Smartest.)
Answer:
−1 /10 x+4
Step-by-step explanation:
Group like terms
=3/5x-7/10x+12-8
add
-10x+12-8
1/10x=x/10
-x/10+12-8
−1 /10 x+4
If you need more help just ask
Us
What is the mole fraction of KCl in an
aqueous solution that contains
26.3% KCI (weightweight %)?
Answer:
0.0794%
Subtract the 26.3 from 100 and get the amount for water giving you 73.7
Divide both from their molar masses
26.3/74.55=0.3528
73.7/18.016=4.0908
Add both answers, 0.3528+4.0908=4.4436
Divde the KCl total from the the total moles which gives you your final amswer
0.3528/4.4436=0.0794
Answer: 0.0794
Step-by-step explanation:
123.8 ÷ 62 ≈ plz help me.
Answer:
1.99677419355
Step-by-step explanation:
Answer:
1.996 rounds to 2
Step-by-step explanation:
The map of a walking trail is drawn on a coordinate grid with three points of interest. The trail starts at R(−2, 4) and goes to S(3, 4) and continues to T(3, −1). The total length of the walking trail is ____ units. (Input whole numbers only.)
Answer:
32 cm
Step-by-step explanation:
What is 18/8 written in simplest form?
2 1/4
Answer:
Actually I think it would be 2 1/3
Step-by-step explanation:
18 goes into 8 twice right, so whole number 2 with 2 left over so that makes it 2 2/6 then 2/2 and 6/2 is 1 and 3 so 2 1/3.
A school carnival is having a dunk tank. The graph shows the temperature, t, in Fahrenheit after h hours.
Tank Temperature
Which linear function does the graph represent?