Answer:
i
Step-by-step explanation:
i stands of imaginary because no real numbers are negative
In your own words, explain what a rational expression is and give and example of one.
Answer:
A rational expression is when the numerator and the denominator are polynomials. An example is 5/x − 2
An article in Engineering Horizons (Spring 1990, p. 26) reported that 117 of 484 new engineering graduates were planning to continue studying for an advanced degree . Consider this as a random sample of the 1990 graduating class.
(A) Find a 90% confidence interval on the proportion of such graduates planning to continue their education.
(B) Find a 95% confidence interval on the proportion of such graduates planning to continue their education.
(C) Compare your answers to parts (a) and (b) and explain why they are the same or different.
(D) Could you use either of these confidence intervals to determine whether the proportion is actually 0.25? Explain your answer. Hint: Use the normal approximation to the binomial.
Answer:
a) The 90% confidence interval on the proportion of such graduates planning to continue their education is (0.2097, 0.2737).
b) The 95% confidence interval on the proportion of such graduates planning to continue their education is (0.2036, 0.2798).
c) Due to higher value of z, a 95% confidence interval, as in part b, is wider than a 90% confidence interval, found in part a, and is the difference between these two intervals.
d) Yes, because 0.25 is inside both intervals.
Step-by-step explanation:
Question a:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
117 of 484 new engineering graduates were planning to continue studying for an advanced degree.
This means that [tex]n = 484, \pi = \frac{117}{484} = 0.2417[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 - 1.645\sqrt{\frac{0.2417*0.7583}{484}} = 0.2097[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 + 1.645\sqrt{\frac{0.2417*0.7583}{484}} = 0.2737[/tex]
The 90% confidence interval on the proportion of such graduates planning to continue their education is (0.2097, 0.2737).
Question b:
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 - 1.96\sqrt{\frac{0.2417*0.7583}{484}} = 0.2036[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 + 1.96\sqrt{\frac{0.2417*0.7583}{484}} = 0.2798[/tex]
The 95% confidence interval on the proportion of such graduates planning to continue their education is (0.2036, 0.2798).
(C) Compare your answers to parts (a) and (b) and explain why they are the same or different.
The margin of error of a confidence interval of proportions is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
This means that, due to higher value of z, a 95% confidence interval, as in part b, is wider than a 90% confidence interval, found in part a, and is the difference between these two intervals.
(D) Could you use either of these confidence intervals to determine whether the proportion is actually 0.25? Explain your answer. Hint: Use the normal approximation to the binomial.
Yes, because 0.25 is inside both intervals.
Answer please..........
Answer:
Rasheed has sent 66 massages , Hassan has sent 22 , Shima has sent 29
Johnny had 600 red apples and 400 blue oranges, then his friend gave him 20 red bananas. He eats all of the bananas, throws away 200 of the blue oranges because he couldn't finish them all, and he fed 100 of the red oranges to his pet rock. How many pumpkin pies does he have now?
Answer choices:
8,000,000
No, he has 6000 bananas
I think he just ordered some offline
He has 300 red apples
Answer:
4 im not sure
Step-by-step explanation:
What is the Area of this quadrilateral
C is the answer i just did this answer and get it correct
What is the value of (52 - 10) = 5 x 23?
А
0
B
18
C
24
D 40
Answer:
I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer.what's wrong with the table
Answer:
On the one that says "3-24" its supposed to be "3-18". On the one that says "4-32" its supposed to be "4-24".
Convince yourself that there are 3 similar triangles in the diagram. Choose the
similarity statement that represents the relationship among the 3 triangles.
Please only answer if your sure
Answer:
second option.
Step-by-step explanation:
8x + 9y - 6x - 3y i forgot how to do these lol
If angle A in the diagram equals 45 degrees and angle B is 4x + 5 degrees, determine the value of x.
A. 10 Degrees
B. 25/2 Degrees
C. 40 Degrees
D. 160 Degrees
Hoshi walks 10 meters in 3 seconds. She walks the same at this rate for 50 seconds. How far does she walk?
Find the simplified form of the expression. Give your answer in scientific notation.
(8 x 107) (7 x 104)
ANSWER FAST!! All of the following angle pairs are ALWAYS congruent when a transversal passes through 2 parallel lines EXCEPT:
Adjacent angles
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Answer:
Adjacent angles
Step-by-step explanation:
Helppppppppppp I have 3 minutes
Answer:
It definitely is linear, and it is a straight line
Step-by-step explanation:
Try using desmos, it may help
Answer:
A) it is linear and it is a straight line
Step-by-step explanation:
it is a linear equation. It will be straight
y=mx+b is linear
help plsssssssssssssssssssssssssssss
Answer:
c. x= 28°, y= 76°
Step-by-step explanation:
y= 180-104=76°
104= x+y (property of triangle, exterior angles is equal to the sum of opposite interior angles)
x=104-76= 28°
POSSIBLE
Name the relationship: complementary, supplementary, vertical, or adjacent.
1)
2)
b
b
A) supplementary
B) complementary
C) corresponding
D) alternate interior
A) complementary
B) vertical
C) alternate exterior
D) alternate interior
3)
4)
I
Will give brainliest if the answer is correct
Answer:
The answer to 5 is 3 and the answer to 6 is -2
Step-by-step explanation:
-8=2x-14
add 14 to each side
6=2x
divide by 2
3=x
----------------------------
11x+13=-9
subtract 13 from both sides
11x=-22
divide each side by 11
x=-2
Answer:
5.x=3
6.x=-2
Step-by-step explanation:
you're welcome
Expand and simplify
4(x + 2y + 3(x + y)
Answer is in the file below
tinyurl.com/wpazsebu
Answer:
The answer is 16x+20y for the above expression
Help me out pls and thank you very much !!!!!!!
Answer:
8
Step-by-step explanation:
Since this is a rectangle, the opposite sides are congruent.
So the lengths of DG and EF are equal
3x + 5 = 29
3x = 29 - 5
3x = 24
x = 24/3
x = 8
in certain mill the cost of c in thousands of dollars of producing x tons of steel is given by c(x)= 0.03x +3.4. the revenue R in thousands of dollars by selling x tons is given R(x)= 0.5x. Find x the number of tons that must be produced to break even
Answer:
well you see if u wanrt to
a
I have to do a math test what is 8 + (7 + 1) 2 ÷ 4 ⋅
Answer:
8
Step-by-step explanation:
taking my points back because you answered with spam.
Puadratic Relations 1
00:00
Israh Doukhi: Attempt 1
Question 5 (1 point)
3
Which statement is true about first and second differences in quadratic relations?
First differences are different second differences are the same
First differences are different, second differences are different.
First differences are the same
Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wpazsebu
Is 1.5399818181... a rational number?
Answer:
yes, cuz the rational numbers is said to be 0 or real numbers.
Write two fractions that have a sum of 1 and have different denominators.
Answer:
1/5+8/10=1
Step-by-step explanation:
1/5 = 2/10
help with math thanks soo much will give brainlyist!!!!!
Answer:
b=3
Step-by-step explanation:
21 divded by 7=3 since area is Lenght times Width
2. APPLES: Mr. Kelly's homeroom went picking. The line plot show's the number of pounds of apples that were collected.
a. Describe the shape of the distribution. Identify any clusters, gaps, peaks, or outliers.
b. Describe the center and spread of the distribution. Justify your response based on the shape of the distribution.
(NOT A MULTIPLE CHOICE)
Answer:
a) shape of distribution: symmetric/unimodal, clusters: none, gaps: none, peaks: 20, outliers: none.
b) The center and spread of distribution is based solely on the median of the data because it is based on a data point that is actually included in the population or sample. The median in this data is 20 because it is between the first and third quartile.
Lebrun loaned $20,000 to his daughter to help her buy a house. When she sold the house four years later, she paid him the $20,000 along with an interest of $3000. What was the annual interest rate? Round answer to two decimal places.
Answer:
3.75%
Step-by-step explanation:
Total interest (4 years) - $3000
Annual interest (1 year) - $3000 ÷ 4 = $750
Annual interest rate (1 year) - [tex]\frac{750}{20 000}[/tex] × 100% = 3.75%
Checking:
Interest after 1 year - [tex]\frac{3.75}{100}[/tex] × $20,000 = $750
Interest after 4 years - $750 × 4 = $3000 (Correct)
Answer:
The interest rate was 3.75%.
Step-by-step explanation:
Attention: I am assuming simple interest here since I am not told otherwise.
Knowing Lebrun's interest was a total of $3000 on the $20000 loan, we can safely assume that it was a $750 interest flat fee paid on top of the loan amount dividing the $3000 by the four years it took for them to return the loan.
Dividing the amount of interest, in dollars, by the total amount of the loan and multiplying by 100, you will get the interest rate on the loan:
[tex]\frac{750}{20000}=\frac{75}{2000}=\frac{15}{400}=\frac{3}{80}\\\\\frac{3}{80}*100=\frac{3}{8}*10=\frac{30}{8}=3\frac{3}{4} =3.75\%[/tex]
I need help with this!
At the book sale, all books cost less than $5.
Answer:
then the books will cost 5.30
Step-by-step explanation:
don't forget to add 6 cents per dollar
somebody PLEASE help, 2x - 8 = 12
what does x =??