Answer:
48.668 ≤ μ ≤ 63.332
Step-by-step explanation:
Given the data:
Sample (X) : 71, 45, 54, 75, 50, 49, 63, 55, 48, 50
Number of samples (n) = 10
α = 95% = 0.05
Determine the range within which the true mean of the fluid samples from the day shift will be with a 95% confidence
True mean = μ
Confidence interval :
m ± t(α/2 ; df) * s/√n
m - t(α/2 ; df) * s/√n ≤ μ ≤ m + t(α/2 ; df) * s/√n
m = sample mean ; s = sample standard deviation ; df = degree of freedom =(n - 1) = (10 - 1) = 9
Calculating the sample mean and standard deviation using calculator to save computation time :
71, 45, 54, 75, 50, 49, 63, 55, 48, 50
m = 56 ; s = 10.25
m - t(0.05/2 ; 9) * s/√n ≤ μ ≤ m + t(0.05/2 ; df) * s/√n
From t table : t(0.05/2 ; 9) = t(0.025, 9) = 2.262
56-2.262 * (10.25/√10) ≤ μ ≤ 56+2.262 * (10.25/√10)
48.668 ≤ μ ≤ 63.332
Find the annual percentage yield (APY) in the following situation,
A bank offers an APR of 3.88% compounded monthly.
The annual percentage yield is %.
(Do not round until the final answer. Then round to two decimal places as needed.)
What’s the answer?
Answer:
3.95%
Step-by-step explanation:
An interest-bearing account paying a stated nominal or annual interest rate of 3.880% compounded monthly, would translate to an Annual Percentage Yield (APY) or Effective Annual Rate (EAR) of 3.95%. This means that $100.00 will grow to $103.95 ($103.95 rounded) after one year.
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen. How many inches of snow will fall in 24 hours if it continues to snow at this rate?
(1 Point)
A)48 inches
B)36 inches
C)28.5 inches
D) 24 inches
Answer:
B) 36-in
Step-by-step explanation:
i will not bore you with the explanation ;w;
Suppose that a computer chip company has just shipped computer chips to a computer company. Unfortunately, of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) The probability that the first randomly selected chip is defective is . Compute the probability that two randomly selected chips are defective under the assumption of independent events. (a) The probability is nothing. (Round to eight decimal places as needed.)
Answer:
(a) 0.0000245
(b) 0.000025
Step-by-step explanation:
The complete question is:
Suppose that a computer chip company has just shipped 10,000 computer chips to a computer company. Unfortunately, 50 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) There are 50 defective chips out of 10,000 shipped. The probability that the first chip randomly selected is defective is 50 /10,000 = 0.005. Compute the probability that two randomly selected chips are defective under the assumption of independent events.
Solution:
(a)
In this case we need to compute the conditional probability of selecting two defective chips, i.e. the selection of the second defective chip is dependent on the first defective chip.
The probability of selecting the first defective chip is:
[tex]P(1D)=\frac{50}{10000}=0.005[/tex]
Now there are 9999 chips left and 49 defective chips among them.
The probability of selecting the second defective chip is:
[tex]P(2D)=\frac{49}{9999}=0.0049[/tex]
Compute the probability that two randomly selected chips are defective using conditional probability as follows:
P (Two defective chips) [tex]=P(1D)\times P(2D)=0.005\times 0.0049=0.0000245[/tex]
Thus, the answer is 0.0000245.
(b)
Compute the probability that two randomly selected chips are defective under the assumption of independent events as follows:
The above statement implies that the selection was done with replacement.
The probability is:
P (Two defective chips) [tex]=P(1D)\times P(2D)[/tex]
[tex]=\frac{50}{10000}\times \frac{50}{10000}\\\\=0.005\times 0.005\\\\=0.000025[/tex]
Thus, the probability that two randomly selected chips are defective under the assumption of independent events is 0.000025.
5p = 2.5
A.) 5
B.)0.05
C.)0.5
D)2
Answer:
The answer is C
Step-by-step explanation:
The points given in the table lie on a line. Find the slope of each line.
Answer:
-2.5
Step-by-step explanation:
The slope of a line can be found by dividing the rise over the run between two points. The rise is the difference between the y-values, and the run is the difference between the x-values. For both, the value with the greater x-value comes first as you are seeing how much it has changed from the first value to the the other.
Let's use the first two points to find the slope: (0,9), (2,4)
(2,4) has the greater x-value, so the rise between the points would be -5, as 4 - 9 = -5
The run would be 2, as 2-0 = 2.
Therefore the slope would be: -5/2 = -2.5
Hope this helped!
A friend of yours was interested in computing a confidence interval for the mean student debt accumulated by NC State graduates during their undergraduate education. They collected a random sample of 40 students, and asked each how much student debt they had; all responded and responded honestly. A histogram of the data indicated it was normally distributed. They computed a 95% confidence interval of ($36,400, $41,650). However, they were unsatisfied with the margin of error, wanting a more precise interval. Referring to their ST 311 notes, they noted that in order to reduce the margin of error by half, they needed to increase their sample size by a factor of 4. So, they collected another random sample of 160 students and found another 95% confidence interval, which was much narrower, having a margin of error of $1,318. They are satisfied with the precision of the confidence interval, but are a little confused : it’s not quite half the original margin of error. Explain why the margin of error wasn’t quite reduced by a factor of 0.5. Be specific.
Answer:
Explained below.
Step-by-step explanation:
The (1 - α)% confidence interval for the population mean is:
[tex]CI=\bar x\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error for this interval is:
[tex]MOE= z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}[/tex]
The factors affecting the MOE are:
The sample size (n) is inversely proportional to the MOE, thus increasing n decreases the MOE and vice-versa. Variance (σ²) is the square of S.D. So if we increase σ² then σ increases. Since σ is directly proportional to MOE, increasing σ increases MOE. The confidence level is the value of (1 – α). If we increase the confidence level then the critical value increases and thus MOE also increases.Since the population standard deviation is not provided it is obvious the sample standard deviation is used to estimate the value of σ.
On increasing the value of σ the MOE will also increase.
As the sample size is inversely proportional, increasing the sample size by a factor of 4 will reduce the margin of error by half. But since σ is also increasing there are two factors affecting the MOE together.
Therefore reducing the MOE by more than half the original value.
Is line e perpendicular to line g?
Answer:
Yes.
Step-by-step explanation:
Always.
Pleaseeeeeeee helppp!!!!!! ASAP!!!
Answer:
See below.
Step-by-step explanation:
Statements: Reasons:
1) ∠1≅∠4 :Given
2) The two lines are parallel :Alternate Exterior Angles Converse
3) ∠3≅∠2 :Alternate Interior Angles Are Congruent
Answer:
given: 1=4 prove: 3=2
statement reasons
1=4 given
1=2 vertical angles
3=4 congruent angles
therefore: 3=2
Step-by-step explanation:
Find all of the zeros
Answer:
{-3, -1, 1}
Step-by-step explanation:
Zeros refer to x-intercepts. X-intercepts are x values when y = 0. You can tell where they are by looking at where the line passes the x-axis.
Therefore, {-3, -1, 1} are the zeros.
A chain of car dealership got a shipment of 9,240 new cars. There are the same number of cars in every color. How many colors could there be?
Answer:
9,420 colors making exactly 1 car of each color exist
Step-by-step explanation:
Since there is no additional information, such as the number of colors we have to assume the maximum. Since there are over 10 million colors that exist and there is at least one car of each color, then there would be a maximum of 9,420 colors making exactly 1 car of each color exist. On the other end of the spectrum would be 2 colors making 4,710 cars of each color.
The number of different possible colors of vehicle can be found using the relation
[tex] \frac{9240}{c} [/tex]
The number of cars shipped = 9240The number of cars belonging to each different color is the sameThe number of different colors possible :
Total number of shipment ÷ Number of cars belonging to each color If the Number of cars belonging to each color = cThe number of different possible colors can be obtained using the expression :
[tex] \frac{9240}{c} [/tex]
Learn more :https://brainly.com/question/18109354
6 less than the cube of a number.
Answer:
x^3-6
Step-by-step explanation:
cube the variable and subtract 6
-3 (4-2x) = 4 - 2x I can't seen to get this one
Let's see what to do buddy...
[tex] - 3(4 - 2x) = 4 - 2x[/tex]
Subtract the sides of the equation minus( 4 - 2x ) :
[tex] - 3(4 - 2x) - (4 - 2x) = 0[/tex]
Factoring ( 4 - 2x ) :
[tex](4 - 2x)( - 3 - 1) = 0[/tex]
[tex](4 - 2x)( - 4) = 0[/tex]
Divided the sides of the equation by -4
[tex]4 - 2x = 0[/tex]
Subtract the sides of the equation minus 4
[tex] - 2x = - 4[/tex]
Negatives simplified.
[tex]2x = 4[/tex]
Divided the sides of the equation by 2
[tex]x = \frac{4}{2} \\ [/tex]
[tex]x = 2[/tex]
_________________________________
And we're done...
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Tom invests $10,000 in a savings account that offers 3.5 percent interest, compounded continuously.
In 10 years Tom will have earned
American Airlines stock is currently $12.23 per share. How many shares could you buy
with $2000?
—————————
a-2000
b-200
c-163
d-164
Answer:
c
Step-by-step explanation:2000/12.23
44% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is (a) exactly three, (b) at least four, and (c) at most two. If convenient, use technology to find the probabilities.
Samuel needs 346 feet of wood to build a fence. The wood comes in lengths of 15 feet.
How many total pieces of wood will Samuel need? Theresa needs twice as many feet of wood as Samuel.
How many pieces of wood does Theresa need?
Samuel needs
pieces of wood. Theresa needs
pieces of wood.
Length of wood Samuel needs to build a fence = 346 feet
Length of each piece of wood = 15 feet
Number of wood pieces he will have with him :-
[tex] = \frac{346}{15} [/tex]
Samuel will need 23 pieces of wood .
Length of wood Theresa needs to build a fence :-
= 346 × 2
= 692 feet wood
Number of wood pieces Theresa will need :-
[tex] =\frac{692}{15} [/tex]
[tex] = 42 \: pieces \: of \: wood[/tex]
Therefore , Samuel needs 23 pieces of wood and Theresa needs 42 pieces of wood .
Answer please will give brainlest answer!
Calculate the pay for the following day of a weekly time card given a wage of $12/hr
Answer:
Step-by-step explanation:
At a pay of 12$ per hour at 8 hours a day you will make 94$ a day or 658$ a week.
if f(x)=6x-9, find f(4)
Answer:
15
Step-by-step explanation:
f(x)=6x-9
so nw x value give 4,
substitute x value with 4
f(4)=6(4)-9
=19
A function assigns the values. The value of the f(4) will be equal to 15.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
For the given function f(x)=6x-9, therefore, the value of f(4) can be written as,
f(x) = 6x - 9
f(4) = 6(4) - 9
f(4) = 24 - 9 = 15
Hence, the value of the f(4) will be equal to 15.
Learn more about Function:
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factor this expression fully
[tex] {x}^{2}(x - 1) - 9x(x - 1) + 8(x - 1)[/tex]
Answer:
1,0
Step-by-step explanation:
No need to expand look at the roots of the brackets.
(x-1)=0
x=1
x^2 and -9x have roots 0
Think of it as whatever sets the expression to 0.
2. If there are 95 pencils and 45 erasers in the box, what is the simplified ratio of erasers to pencils? LED
Answer:
The simplified ratio is 19:9.
Step-by-step explanation:
Answer:
19:9
Step-by-step explanation:
First, make it a fraction. 95/45. Then simplify by 5.
help please asap
jahahhahahahahaha
Answer:
No
Step-by-step explanation: Try the vertical line test. If the line goes directly through the angle or shape, it's not a function. Let me know if you want an example.
I've attached an image. This rule applies to every angle.
write an equation to solve for x your only writing the equation 7x +9 5x +3 will mark brainiest
Answer:
-3
Step-by-step explanation:
7x+9=5x+3
2x+9=3
2x=-6
x=-3
Answer:
equation is 7x +9 = 5x +3x = -3Step-by-step explanation:
7x +9 = 5x +3
combine like terms
7x - 5x = 3 - 9
2x = -6
x = -6/2
x = -3
proof:
7x +9 = 5x +3
7(-3) +9 = 5(-3) +3
-12 = -12 ---- ok
what is the ratio of students to adults ? complete the statement the ratio of students to adults is ? 20 to 4 is the awnser
Answer:
20 to 4
Step-by-step explanation:
is the answer because it is the amount of students to adults.
Find the midpoint of the line segment joining points A and B.
A(8,-5); B(6.1)
The midpoint of the line segment is (Type an ordered pair.)
Answer:
(7,-2)
Step-by-step explanation:
6+8÷2=7
1-5=-4÷2=-2
Which of the following is an equivalent form of the compound inequality-33 > -3x - 6 > -6
Answer:
9 < x < 0
Step-by-step explanation:
from 0 to 9 i think
PLEASE HELP NEED THIS DONE ASAP
Answer:
Equation: $7 + $1.25t = $43.25
Solving:
$7 + $1.25t = $43.25
$1.25t = 36.25
$1.25t = 36.25
t = 29
So the answer is 29 minutes.
26 people got off a boat 22 people got on now there's 74 people on the boat how many were on the boat to begin with
Answer:
Step-by-step explanation:
there were 78 people all together because 74-22=52 because it was 52 people altogether after the 26 got off and the 22 got on so 52+26=78 so THE ANSWER IS 78
Estimate the total of 3,933+790+3,528+1,830 by adding the numbers and then rounding the result to the thousands place.
Answer:
The answer to your problem is 10000
Answer: 11,000
Step-by-step explanation:
Rounding to the nearest thousand first gives us,
4,000+1,000+4,000+2,000=11,000.
Which is larger: 25% of 38 OR 30% of 41