The 95% confidence interval of the population mean, in years, is (4.3, 5.3). 4 years is not part of the confidence interval, which means that it contradicts the fact that 39% of students get their college degree in four years.
-----------------------------
To solve this question, we need to find the confidence interval for the amount of time it takes the students to get the degree.
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
-----------------------------
The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So
df = 80 - 1 = 79
-----------------------------
95% confidence interval
Standard level of confidence, we have to find a value of T, which is found looking at the t table, with 79 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9905.
-----------------------------
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.9905\frac{2.2}{\sqrt{80}} = 0.5[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
-----------------------------
The lower end of the interval is the sample mean subtracted by M. So it is 4.8 - 0.3 = 4.3 years.
The upper end of the interval is the sample mean added to M. So it is 4.8 + 0.3 = 5.3 years.
-----------------------------
The 95% confidence interval of the population mean, in years, is (4.3, 5.3). 4 years is not part of the confidence interval, which means that it contradicts the fact that 39% of students get their college degree in four years.
A similar question is given at https://brainly.com/question/24278748
[tex] \frac{3 \cot30 }{2 \cosec30} [/tex]
Correct to two decimal places . Please help .
9514 1404 393
Answer:
0.02
Step-by-step explanation:
We assume your angle is in degrees:
3cot(30°)/230 = 3√3/230 ≈ 0.02259
≈ 0.02 . . . . . rounded to 2 decimal places
__
This is a straightforward calculator problem. You may have to use one or another of the identities ...
cot(30°) = 1/tan(30°) = tan(90° -30°) = tan(60°)
find the values of x and y for the following matrix equations
Answer:
Step-by-step explanation:
175 2/3 + 456 2/3
add and simplify
help pls
Answer:
460 1/3
Step-by-step explanation:
175 2/3 + 456 2/3
First convert to improper fraction,
527/3 + 854/3
=> 1381/3
Then After adding convert back to mixed fraction,
=> 460 1/3
please helpppp.
Which of these could be the graph of F(x) = In x + 3?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
c
Step-by-step explanation:
Try desmos
2. Solve the following:
a. When six is added to four times a number the result is 50. Find the number.
b. The sum of a number and nine is multiplied by -2 and the answer is -8. Find the
number
10
m in
Step-by-step explanation:
a) let number=x
four times a number=4x
Condition:
4x+6=50
4x=50-6
4x=44
x=44/4
x=11
b) Condition:
x+9×-2=-8
x-18=-8
x=-8+18
x=10
Note:if you need to ask any question please let me know.
Find the area of the figure to the nearest tenth?
Am I right?
write 10 toolbars on the keyboard
Answer:
WINKEY + D. ...
WINKEY + SPACE. ...
SHIFT + Mouse Click on a taskbar button. ...
CTRL + SHIFT + Mouse Click on a taskbar button. ...
SHIFT + Right Mouse Click on a taskbar button. ...
SHIFT + Right Mouse Click on a grouped taskbar button. ...
CTRL + Mouse Click on a grouped taskbar button. ...
WINKEY + T.
ctrl + X = cut
ctrl + c = copy
make me brainliest
Using your textbook, solve the problems below. Show your work.
Solve for y:
y + 8 = 2
Answer:
i dont know lol
Step-by-step explanation:
A local food bank uses volunteers to staff the kitchen. If there are 30 college students working there out of a total of 100 volunteers, what is the probability that in a sample of 10 volunteers, 4 of them are college students? Four decimal places please!
Is this a function graph
Please find the answer
9514 1404 393
Answer:
-0.84
Step-by-step explanation:
In decimal, the expression is ...
-1.34 +1.50 -1.00 = -0.84
__
As fractions, the expression is ...
-67/50 +75/50 -50/50 = (-67+75-50)/50 = -42/50 = -21/25
A right pyramid with a square base has
volume of 252 cubic centimeters. The
length of one of the sides of its base is 6
centimeters. Rounded to the nearest
centimeter, what is the vertical height of
the pyramid?
Hey there!
A right pyramid with a square base just means that it isn't slanted all funny. If you create a triangle with a point on one of the edges of the base, the center of the base, and the top of the pyramid, it would be a right triangle.
To find the volume of a right pyramid, you just take the base area, multiply it by the height, and then divide by three.
However, we are looking for the height. We have been given, so we will just go backwards.
252×3=756 (multiply instead of divide)
6×6=36 (base is a square, so you just square 6. This is our base area)
756/36=21
So, the vertical height of the pyramid is 21 cubic centimeters.
Have a wonderful day! :D
You have $90,000 in cash. You can deposit it today in a mutual fund earning 7.5
percent semiannually; or you can wait, enjoy some of it, and invest $12,000 in your
brother's business after two years. Your brother is promising you a return of at least 12
percent on your investment. Whichever alternative you choose, you will need to cash
in at the end of 8 years. Assume your brother is trustworthy and that both investments
carry the same risk. Which one will you choose?
I will go to the Bahamas instead and think about later
multiply 725base 9× 367base 9
Answer:
Hello,
Answer 303028
Step-by-step explanation:
Multiplication in base 9
[tex]\begin{array}{cccccc}9^5&9^4&9^3&9^2&9^1&9^0\\--&--&--&--&--&--\\&&&7&2&5\\&&&3&6&7\\--&--&--&--&--&--\\&&5&5&8&8\\&4&7&6&3&\\2&3&7&6&&\\--&--&--&--&--&--\\3&0&3&0&2&8\end{array}[/tex]
The values of 9’s in 9905482
Answer:
9,905,482=
Million place
9,905,482=
one hundred thousandth
Help please! Also please show the steps of how you got the answer!
30% of 40% of 15
Answer:
1.8
Step-by-step explanation:
First, find 40% of 15:
15(0.4)
= 6
Next, find 30% of this:
6(0.3)
= 1.8
So, the answer is 1.8
which of the following portions are true
A. 20/48 = 40/90
B. 25/40 = 48/80
C. 18/48 = 27/72
D. 12/15 = 21/25
Which equation best describes the graph.
Answer:
A. [tex]y=4x-5[/tex]
Step-by-step explanation:
The equations are in slope-intercept form, which is written as y=mx+b. Where m is the slope and b is the y-intercept. So, first, find the slope. The line increases by 4 every unit; this means the slope is 4. Then, find the y-intercept. The y-intercept is where the line crosses the y-axis. Since the line crosses at -5, that is the b value. Therefore, the final answer is y=4x-5.
- 200
Solve it i need help
Answer:
[tex]-10\sqrt{2}[/tex]
Step-by-step explanation:
[tex]-\sqrt{200}[/tex]
To factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5)
In the end, the number of times each prime divides the original integer becomes its exponent.
Prime number 2 to the power of 3 equals 8, and 5 to the power of 2 equals 25.
[tex]-\sqrt{2^{3}*5^{2} }[/tex]
We need to rewrite certain factors as the product of two factors in order to remove them from the radical.
The exponent of the first factor in such a product will be equally divided by the radical index, allowing us to eliminate it from the radical.
Here, because their exponents are evenly divided by the radical index, we will be able to eliminate the following components from the radical:
[tex]2^{2}[/tex] and [tex]5^{2}[/tex]
[tex]-\sqrt{2^{2} *2*5^{2} }[/tex]
[tex]-10\sqrt{2}[/tex]
OAmalOHopeO
pls help me asap !!!
Answer:
11
Step-by-step explanation:
Hopefully you can see that this is an isosceles triangle and remembering the inequality theorem of a triangle (4,4,11 triangle cannot exist). Iso triangle has two side the same length - as well as two angles the same.
Which improper fraction is equivalent to 17.8?
89/10
93/10
89/5
Answer:
17.8.
Step-by-step explanation:
89/5
= 17 4/5
= 17.8.
The correct improper fraction which is equivalent to 17.8 is,
⇒ 17.8 = 89 / 5
What is Rational number?A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
We have to given that;
The number is,
⇒ 17.8
Now,
We can simplify the number as;
⇒ 17.8
⇒ 178 /10
⇒ 89 / 5
Therefore, The correct improper fraction which is equivalent to 17.8 is,
⇒ 17.8 = 89 / 5
Learn more about the rational numbers visit:
https://brainly.com/question/12088221
#SPJ3
How many times greater is
6.6 x 10^10
than
3 x 10^7
2.2
22
1000
2200
Answer:
2,200
Step-by-step explanation:
6.6 x 10^10
= 66,000,000,000
3 x 10^7
= 30,000,000
66,000,000,000 ÷ 30,000,000
2,200
Answer:
2200.
Step-by-step explanation:
6.6 / 3 * 10^10/10^7
= 2.2 * 10^3
= 2200
please help, will give brainliest for correct answer
ain't it just 3 for each one unless i'm missing something
Solve for x.
Sqrt8 (Sqrt2 - x) = 11
Answer:[tex]\frac{-7\sqrt{2} }{4}[/tex]
Step-by-step explanation:
So first, let's get rid of the parentheses. We can multiply it out to get [tex]\sqrt{16}-x\sqrt{8} =11[/tex]. We know that the square root of 16 is ±4, so now our equation is ±4 - [tex]x\sqrt{8}[/tex]=11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 - [tex]x\sqrt{8}[/tex]=11. We can use inverse operations to make the a little easier to solve: -7= [tex]x\sqrt{8}[/tex]. We divide both sides by [tex]\sqrt{8}[/tex] to get [tex]\frac{-7}{\sqrt{8} } =x[/tex], which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by [tex]\frac{\sqrt{8} }{\sqrt{8} }[/tex] (which is equal to one so we can use it) which is equal to [tex]\frac{-7\sqrt{8} }{8}[/tex]. Let's finish this by simplifying it. [tex]\sqrt{8} =2\sqrt{2}[/tex] (2x[tex]2^{2}[/tex]). We can simplify it further by simplifying the 2, making it [tex]\frac{-7\sqrt{2} }{4}[/tex].
Hope this wasn't too confusing! I'll answer any questions.
Answer:
x = -7 sqrt(2)/4
Step-by-step explanation:
Sqrt8 (Sqrt2 - x) = 11
Simplify sqrt(8) = sqrt(4*2) = 2 sqrt(2)
2 sqrt(2) (Sqrt2 - x) = 11
Distribute
2 *2 - 2 sqrt(2) x = 11
4 - 2 sqrt(2)x = 11
Subtract 4 from each side
4-2sqrt(2)x -4 = 11-4
-2 sqrt(2)x = 7
Divide each side by -2 sqrt(2)
-2 sqrt(2)x /-2 sqrt(2) = 7/ -2 sqrt(2)
x = - 7/ 2 sqrt(2)
Multiply top and bottom by sqrt(2)
x = - 7/ 2 sqrt(2) * sqrt(2)/ sqrt(2)
x = -7 sqrt(2)/4
SOMEONE PLEASE HELP ME WITH THIS AND EXPLAIN EACH ONE AND HOW YOU DID IT PLEASE MY TEACHER SUCK AND ILL GIVE YOU BRAINLY IF U GET IT RIGHT!!!!
Answer:
a)
d)
Step-by-step explanation:
It's easiest to reduce each statement to its simplest form for comparison
Our test statement can be reduced by combining like terms
16x - 12 -24x + 4 = -8x - 8
this becomes our new gold standard
a) 4 + 16x - 12(1 + 2x)
apply the distributive property by multiplying terms in parenthesis by -12
4 + 16x - 12 - 24x
combine terms
-8x - 8 Yeaah, We have a winner as it exactly matches our gold standard.
b) 40x - 16 is already in simplest terms and does NOT match the gold standard.
c) 16x - 24x - 4 + 12
has the same cardinal values as the original, but differing signs, reducing gives -8x + 8
Not quite the same as a plus sign occurs where a negative exists in our gold standard.
d) -8x - 8 is already in simplest terms and exactly matches our gold standard. Yeah!
e) 10(1.6x - 1.2 - 2.4x + 4)
apply distributive property by multiplying each term in parenthesis by 10
16x - 12 - 24x + 40
combine like terms
-8x + 28 does NOT match our gold standard
PLEASE HELP VENN DIAGRAM!
Look at attached for the diagram!!!
In his diagram BH represents the students that have brown hair and W represents the students that are wearing a watch.
Is having brown hair independent of wearing a watch?
Please show some work if possible
Answer:
Yes.
Step-by-step explanation:
Since there is an overlap, that does mean some people with brown hair do wear watches, but not all of them do. Hence it's independent.
Algebra 2, please help! thank you
The function y = 2 cos 3(x + 2π∕3) +1 has a phase shift (or horizontal shift) of
A) –2π∕3
B) 3
C) 1
D) 2
Answer:
-2pi/3
Step-by-step explanation:
y = 2 cos 3(x + 2π∕3) +1
y = A sin(B(x + C)) + D
amplitude is A
period is 2π/B
phase shift is C (positive is to the left)
vertical shift is D
We have a shift to the left of 2 pi /3
Answer:
A
Step-by-step explanation:
The standard cosine function has the form:
[tex]\displaystyle y = a\cos (b(x-c)) + d[/tex]
Where |a| is the amplitude, 2π / b is the period, c is the phase shift, and d is the vertical shift.
We have the function:
[tex]\displaystyle y = 2 \cos 3\left(x + \frac{2\pi}{3}\right) + 1[/tex]
We can rewrite this as:
[tex]\displaystyle y = \left(2\right)\cos 3\left(x - \left(-\frac{2\pi}{3}\right)\right) + 1[/tex]
Therefore, a = 2, b = 3, c = -2π/3, and d = 1.
Our phase shift is represented by c. Thus, the phase shift is -2π/3.
Our answer is A.
What is the ratio of 1:6 and 3:8
1:6 is the same as 1/6
3:8 is the same as 3/8
the difference between a number and 6
Step-by-step explanation:
=The difference between a number and 6
the term difference is used in mathmatics as subtraction
let x = a number
x - 6 = the difference between that unknown number and 6
Answer:
Step-by-step explanation:
difference means subtract. Difference is always worded the same way. What you have written means that you start with an algebraic letter and then comes the minus sign and then the number
Let the number = x
x - 6
If it was worded as difference between 6 and a number, you would write it this way
6 - x
nagib spent a total of 640 last week including 128 he spent on groceries. What percentage was nagib total spending on groceries?
Answer:
20%
Step-by-step explanation:
To find the percent spend on groceries, take the amount spent on groceries over the total amount
128/640
.2
Multiply by 100 %
20%
