which of the following is the quotient of the rational expression shown below? x/3x-1 ÷ x-2/2x
Step-by-step explanation:
[tex] \frac{x}{3x - 1} \div \frac{x - 2}{2x} = \\ = \frac{x}{3x - 1} \times \frac{2x}{x - 2} = \\ = \frac{2 {x}^{2} }{3 {x}^{2} - 7x + 2} [/tex]
A school district is considering moving the start of the school day at Groveland High from 8:00 a.m. to 9:00 a.m. to allow students to get more sleep at night. They want to estimate how many more hours of sleep teens get if their school starts at 9:00 a.m. compared to teens whose schools start at 8:00 a.m. The district takes random samples of 50 of students from Groveland High and 39 students from Phillips High School, which starts at 9:00 a.m., and surveys them about their sleep habits. The sample mean number of hours of sleep per student at Groveland is 7.1 hours, and the standard deviation is 1.7 hours. At Phillips, the sample mean is 8.3 hours of sleep, with a standard deviation of 1.9 hours. What is the 90% confidence interval for the difference in mean hours of sleep for students at the two high schools
Answer:
The answer is "[tex]\bold{(7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} }\\\\[/tex]"
Step-by-step explanation:
Given values:
[tex]\bar{x_1}=7.1\\\\\bar{x_2}=8.3\\\\s_1=1.7\\\\s_2=1.9\\\\n_1=50\\\\n_2=39[/tex]
Using formula:
[tex]\to (\bar{x_1} -\bar{x_2}) \pm t \sqrt{\frac{(s_1)^2}{n_1}+\frac{(s_1)^2}{n_2}} \\\\[/tex]
Put the values in the above formula:
[tex]\to (7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} \\\\[/tex]
Choose all lengths that are equal to
6 feet 12 inches.
Answer:
Can you show a picture? Or like tell us the options?
Jane's dog is 62 centimeters long. Alan's dog is 33 centimeters long. How
much shorter is Alan's dog than Jane's dog?
What’s another word for average
Answer:
Normal/standard
Step-by-step explanation:
Answer:
Ordinary
Step-by-step explanation:
make up a new animal that can do some incredible thing. write a short description of that animal and its special capability compared to it's size. write a proportion question regarding your size and what you could be
Answer:
Dragon, legendary monster usually conceived as a huge, bat-winged, fire-breathing, scaly lizard or snake with a barbed tail. The belief in these creatures apparently arose without the slightest knowledge on the part of the ancients of the gigantic, prehistoric, dragon-like reptiles
twice the difference of v and z
Answer:
me
Step-by-step explanation:
becaus im the bes guy
PLEASE HELP 100 points I’m on a time(there’s a picture) With respect to air safety, in which year between 1966 and 1976 did the lowest number of air fatalities occur, and how
many passengers were killed in that year?
Year:1976,1974,1975
Passengers killed: 552,441,386
Looking at the column for number of passengers killed.
The lowest year was 1975 with 441 killed.
Answer:
1975
441
Step-by-step explanation:
1. Determine the three-dimensional figure that will be created using the following nets.
Answer:
triangular pyramid
Step-by-step explanation:
Answer:
triangular pyramid
cone
Step-by-step explanation:
What’s 2/4 plus 3/8??
Mark brainliest!!!
No links!!
Step-by-step explanation:
[tex] \frac{2}{4} + \frac{3}{8} = \\ = \frac{4 + 3}{8} = \\ = \frac{7}{8} [/tex]
Answer:
The answer is 0.875 in decimal form but is 7/8 in fraction form
Step-by-step explanation:
Look at the diagram.
What type of angle is angle B?
What type of angle is angle D?
Answer:
B - obtuse
D - acute
Step-by-step explanation:
Answer:
I think angle B is an obtuse angle and D is an acute angle. I'm not sure.
Hope this helps :)
the three cubes shown weigh 12 ounces how many pounds would 24 cubes weigh A. 4.5 lb B. 6lb C. 18lb D. 72lb
Can someone please give me this answer to question 3 please
Answer:
kurt
Step-by-step explanation:
Suppose Tabitha finds an annuity that pays 7.0% annual interest, compounded semiannually. She decides to invest $650
semiannually in this annuity for 5 years. How much interest does she earn during the 5 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.
Answer:
Rounded to the nearest cent, over 5 years she will earn $ 916.89.
Step-by-step explanation:
Since Tabitha found an annuity that pays 7.0% annual interest, compounded semiannually, and she decided to invest $ 650 semiannually in this annuity for 5 years, to determine how much interest she will earn during the 5 years the following calculation must be performed:
650 x (1 + 0.07 / 2) ^ 5x2 = X
650 x (1 + 0.035) ^ 10 = X
650 x 1,035 ^ 10 = X
916,889 = X
Thus, rounded to the nearest cent, over 5 years she will earn $ 916.89.
Answer: 1125.41
Step-by-step explanation:
First, let’s find out how much is in the account after 5 years. We will use the savings annuity formula
A(t)=d((1+r/n)n⋅t−1)r/n
to find the value of A(5). We know that r=0.07, d=$650, n=2 compounding periods per year and, t=5 years. Substitute these values into the formula.
A(5)=$650 ((1+0.07/2)5⋅2−1)/(0.07/2)
Simplifying gives
A(5)=$650 ((1.035)10−1)/(0.035),
thus
A(5)=$7,625.41.
The sum of all deposits D5 is given by 5⋅2⋅$650=$6,500. Now, substitute these numbers into
A(5)=D5+I5
and solve for I5. This gives
$7,625.41=$6,500+I5,
yielding the total interest paid as $1,125.41. Enter 1125.41 as the answer.
4. What is the measure of each interior angle of
a regular 20-gon?
Answer:
162
Step-by-step explanation:
what 1 + 2 i have know idea of what it is
Answer:
3
Step-by-step explanation:
Answer:
1+ 2 = 3
Step-by-step explanation:
Which graphs of ordered pairs represent functions?
Answer:
I thin its b.
Step-by-step explanation:
Find the zeros of ƒ(x) = (x + 2)(x – 1)(x – 3)(x + 1).
Answer:
X=-2 x=1 x=3 and x=-1
Step-by-step explanation:
When the problem asks you to find the zeros all they are asking for is the solution so to solve all you need to do is set each individual piece equal to zero.
Sand will be placed under the base of a circular pool with a diameter of 20 feet. 1 bag of sand covers about 6 square feet. How many bags of sand are needed? Use 3.14 for pi. Round bags up.
9514 1404 393
Answer:
53
Step-by-step explanation:
The area of the pool is ...
A = πr²
A = 3.14×(10 ft)² = 314 ft²
The number of bags of sand required is ...
(314 ft²)/(6 ft²/bag) ≈ 52.33 bags
53 bags of sand are needed.
The amount of paint needed to cover a wall is proportional to its area. The wall is rectangular and has an area of 4z^2+2z square meters. Factor this polynomial
Answer:
2z(2z+1)
Step-by-step explanation:
yup
Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a quadratic function of the rectangle’s width, A(w). What does the second coordinate of the vertex of the quadratic function. A(w), represent?
the minimum width that can be used for the fencing
the maximum area that can be enclosed by the fencing
the width that gives the maximum area
the length that gives the maximum area
9514 1404 393
Answer:
the maximum area that can be enclosed by the fencing
Step-by-step explanation:
If the width of the garden is w (in yards), then the length of the garden is (150-w) and the area is ...
A(w) = w(150 -w) = -(w² -150w)
A(w) = -(w² -150w +75²) +75²
A(w) = -(w -75)² +5625
In this vertex form, the vertex is (75, 5625).
The graph of area versus width is a parabola that opens downward, so the vertex second coordinate is the maximum area that can be enclosed.
Guys this is simple question
Who’s fault is it
So it was Easter and my water was at the table and about 7 inches away from the table, then my sister was reaching something competing with my cousin and then she spilled the water on the floor and there was my charger, and I hurried to dry the charger but when I charged it, didn’t work. So it ment it broke.
So who’s fault is it?
number 10 step by step :(
Please help! And don't give me a link, I know it's a scam.
Is a triangle with these measures possible?
52°, 18°, and 110°
Answer:
Yes.
Step-by-step explanation:
Well if the sum of the angles is equal to 180, then it's a triangle. Since [tex]52+18+110=180[/tex], a triangle with the measures 52°, 18°, and 110° is possible. Hope this helps!
Please help me
Adjust to compatible numbers that count by 50s, and then subtract to
estimate the difference.
301 - 52 =
Answer:
249
Step-by-step explanation:
301 - 52 = 249
Suppose you add two linear equations that form a system, and you get the result y = −2. How many solutions does the system have?
Answer:
This system will have 1 solution
Step-by-step explanation:
A linear system that has exactly one solution is called a consistent independent system. Consistent means that the lines intersect and independent means that the lines are distinct. Linear systems composed of lines that have the same slope and the y-intercept are said to be consistent dependent systems.
Find the average of f(x)=x^3-x over [0,2]
9514 1404 393
Answer:
1
Step-by-step explanation:
The average value of the function is the integral over the interval, divided by the width of the interval.
[tex]\displaystyle\overline{y}=\frac{1}{2-0}\int_0^2{f(x)}\,dx=\left.\frac{1}{2}\left(\frac{x^4}{4}-\frac{x^2}{2}\right)\right|_0^2=\frac{1}{2}\left(\frac{2^4}{4}-\frac{2^2}{2}\right)=\frac{4-2}{2}\\\\\boxed{\overline{y}=1}[/tex]
Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.
Answer:
60 degrees (first option)
Step-by-step explanation:
as a triangle adds up to 180 degrees and it has 3 sides so you divide 180 by 3 and you get 60 degrees which goes for each corner.
if you want to check just times 60 by 3 and you get 180
What is the mean absolute deviation of the data set?
{12, 17, 12, 8,6)
Answer:The mean absolute deviation of the set of data is
2.24
.
Step-by-step explanation:
example of a 400 word essay which choosing a college