Answer:
w = 5
Step-by-step explanation:
(26+4)=30, and 30/6=5, therefore, w = 5.
so (26+4) = 30
and 30/6=5
so the answer is w=5
The increasing annual cost (including tuition, room, board, books and fees) to attend college ) to attend college has been widely discussed in many publications including Money magazine. The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars.
Private Colleges
53.8 42.2 44.0 34.3 44.0
31.6 45.8 38.8 50.5 42.0
Public Colleges
20.3 22.0 28.2 15.6 24.1 28.5
22.8 25.8 18.5 25.6 14.4 21.8
Required:
a. Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges.
b. What is the point estimate (in thousand dollars) of the difference between the two population means?
Answer:
a) The sample mean is of 42.7 thousand dollars.
The standard deviation is of 6.38 thousand dollars.
b) The point estimate of the difference between the two population means is of 20.4 thousand dollars.
Step-by-step explanation:
a. Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges.
Sample mean is the sum of all values divided by the number of values. So
[tex]M = \frac{53.8 + 42.2 + 44.0 + 34.3 + 44.0 + 31.6 + 45.8 + 38.8 + 50.5 + 42.0}{10} = 42.7[/tex]
The sample mean is of 42.7 thousand dollars.
Sample standard deviation is the square root of the sum of the difference squared between each number and the mean, divided by the number of values. So
[tex]S = \sqrt{\frac{(53.8-42.7)^2 + (42.2-42.7)^2 + (44.0-42.7)^2 + (34.3-42.7)^2 + (44.0-42.7)^2 + (31.6-42.7)^2 + (45.8-42.7)^2 + (38.8-42.7)^2 + (50.5-42.7)^2 + (42.0-42.7)^2}{10}} = 6.38[/tex]
The standard deviation is of 6.38 thousand dollars.
b. What is the point estimate (in thousand dollars) of the difference between the two population means?
First, we have to find the sample mean for public colleges, and then subtract the sample mean of private colleges by the sample mean of public colleges. So, for public colleges:
[tex]M = \frac{20.3 + 22.0 + 28.2 + 15.6 + 24.1 + 28.5 + 22.8 + 25.8 + 18.5 + 25.6 + 14.4 + 21.8}{12} = 22.3[/tex]
Point estimate of the difference:
42.7 - 22.3 = 20.4
The point estimate of the difference between the two population means is of 20.4 thousand dollars.
Z OO
Which of the following statements are true? Check all that apply
The distance covered on a two hour bloyole ride depende on the bike'e rate of
speed Al 10 mph, the rider will cover 20 miles. Al 18 mph, she will cover 30
miles
A. Distance(16) = 30
B. Distance(30) = 16
C. Distance(20) = 10
D. Distance(10) = 20
Answer:
Step-by-step explanation:
A. Distance(16)= 30
(a) 34 is 85% of what number?
Answer:
[tex]40[/tex]
hope this helps you.
Can I have the brainliest please?
Please find the answer! <3 tyvm have a great day/night!!!
Answer:
96
Step-by-step explanation:
area is B*H*L
6*8*2 = Area
96 = Area
One term of a geometric sequence is a4=135. The common ratio is r=3. Write an explicit rule for the nth term.
Answer:
[tex]a_{n} = 5 * 3^{n-1}[/tex]
Step-by-step explanation:
To find the nth term of a geometric sequence, you have the general formula:
[tex]a_{1} *r^{n-1}[/tex]
where a1 is the first term and r is the common ratio. In order to find the 4th term, we can substitute what we have(n is 4 because we are looking for the fourth term):
135 = [tex]a_{1} * 3^{4 - 1}[/tex]
135 = [tex]a_{1} * 3^3[/tex]
135 = [tex]27a_{1}[/tex]
[tex]a_{1} = 5[/tex]
Now, we can substitute the first term back in:
[tex]a_{n} = 5 * 3^{n-1}[/tex]
A pool in the shape of a rectangular prism has a length of 12 m, a width of 6 m, and a depth of 1.5 m. Find the volume of water needed to fill the pool.
Answer:
108 m^3
Step-by-step explanation:
The volume of a rectangular prism is the product of all its sides. 12 * 6 * 1.5 = 108
Express 848.41 m in millimeters
How do I find the margin of error?
Answer:
You can find the margin of error by using this this formula
[tex]z \times \frac{σ}{ \sqrt{n} } [/tex]
The line shown below has the equation y = 2/3x-1
The highlighted point has coordinates (-4.3).
Answer:
Step-by-step explanation:
ask cymath it will help you with any mathmatical problem
can anyone help please
Answer:
x = 0, x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
8x² - 12x = 0 ← factor out 4x from each term
4x(2x - 3) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
A tutoring company would like to understand if most students tend to improve their grades (or not) after they use their services. They sample 220 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year. Write the null and alternative hypotheses in words.
Answer:
Null hypothesis :
Grades have not improved for a majority of students
Alternative hypothesis :
Grades have improved for a majority of students
Step-by-step explanation:
The null and alternative hypothesis for this scenario who see the null hypothesis take a midpoint between improvement and decline ; which can be expressed as ;
H0 : p = 0.5
This means that the performance of students is at a centre point where it could swing either way (decline or improve).
To test of grade has improved students, the, the proportion of f students who have proved should be greater. Which is what the test intends.
H1 : p > 0.5
find the vertex of the graph of the following quadratic equations y= -3x^2 -12x-13
Answer:
Step-by-step explanation:
The vertex is a point. The x value is defined as x = - b / 2a where
a = -3
b = - 12
x = - -12/ 2* -3
x = 12 / - 6
x = -2
what is y when x = - 2?
y = -3(-2)^2 - 12(-2) - 13
y = -12 + 24 - 13
y = -1
Does the graph agree? It should
The equation is written as
y = -3(x + 2)^2 - 1
42 cubes of side 8cm are packed into a cuboid
64cm by 40cm by 24cm. How many more
cubes are needed to completely fill the cuboid?
Answer:
multiply itStep-by-step explanation:
thats it
please answer ive been having such a bad day today
Answer:
A - y = 2x + 1
Step-by-step explanation:
2(2) + 1 = 5
2(4) + 1 = 9
2(6) + 1 = 13
Hope this helps <3
Question in screenshot
Answer:
See below
Step-by-step explanation:
[tex]y = {u}^{ \frac{3}{2} } \\ \\ \therefore \: \frac{dy}{du} = \frac{3}{2} {u}^{ \frac{3}{2} - 1 } = \boxed{\frac{3}{2} {u}^{ \frac{1}{2}} } \\ \\ u = 8x + 3 \\ \\ \frac{du}{dx} = 8.1 + 0 = \boxed{8}[/tex]
Find mCFD
O 180°
O 276°
O 307°
O 53°
9514 1404 393
Answer:
307°
Step-by-step explanation:
The measure of arc CFD is the measure of the whole circle, less the measure of arc CD. The measure of arc CD is the difference between the measures of arc CE and DE. Arc CE has the same measure as arc BF, so we have ...
arc CFD = 360° -(arc BF -arc ED)
arc CFD = 360° -132° +79°
arc CFD = 307°
_____
Arcs BF and CE are of equal measure because their central angles are vertical angles, hence congruent.
What is the volume of a rectangular prism that has a length of 18 inches, a width of 1 foot, and a height of 14 inches?
Answer:
3024
Step-by-step explanation:
l * w * h
18 in. * 12 in. * 14 in.
there are 12 inches in 1 foot.
If A = –2p + 7 and B = p2 + 3p – 5, find an expression that equals A – 3B in
standard form.
Answer:
-3p^2 - 11p + 22
Step-by-step explanation:
A - 3B becomes (-2p + 7) - 3*(p^2 + 3p - 5).
Perform the indicated multiplication, obtaining:
(-2p + 7) - 3p^2 - 9p + 15, and then:
-2p + 7 - 3p^2 - 9p + 15, or (combining like terms):
-3p^2 - 11p + 22
What is the perimeter of the shape?
- 12 feet
-14 feet
-26 feet
-38 feet
Answer:
26 ft
Step-by-step explanation:
please tell me where i have to graph this!! also please tell me if i open the dot or not. (NO FILE ANSWERS!!)
Answer:
Graph at 0 with open circle and arrow pointing right. Right now, all you need to do is open circle
Step-by-step explanation:
Dot at 0 bc 0 is only number in equation
Open circle because there is no "or equal to", so it doesn't include zero
pointing right because right is greater than
A circle has radius 6 cm. Suppose an arc on the circle has length 31 cm. Answer the
following:
a. The fraction of the whole circle represented by this arc is
b. The measure of the central angle defined by the arc is
degrees.
C. The area of the sector defined by the arc is
cm2. (Express answer
in terms of r or pi).
Answer:
[tex]Fraction = \frac{31}{38}[/tex]
[tex]\theta = 296.18^\circ[/tex]
[tex]Area = 29.62 \pi[/tex]
Step-by-step explanation:
Given
[tex]r = 6[/tex]--- radius
[tex]L = 31[/tex] --- arc length
Solving (a): Fraction represented by the arc
First, calculate the circumference (C)
[tex]C = 2\pi r[/tex]
So, we have:
[tex]C = 2 * 3.14 * 6[/tex]
[tex]C = 38[/tex] --- approximated
So, the fraction represented by the arc is:
[tex]Fraction = \frac{L}{C}[/tex]
[tex]Fraction = \frac{31}{38}[/tex]
Solving (b): Measure of the center angle
Using arc length formula, we have:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
This gives
[tex]31 = \frac{\theta}{360} * 2 * 3.14 * 6[/tex]
[tex]31 = \frac{\theta}{360} * 37.68[/tex]
Make [tex]\theta[/tex] the subject
[tex]\theta = \frac{360 * 31}{37.68}[/tex]
[tex]\theta = 296.18^\circ[/tex]
Solving (c): The area of the sector
This is calculated as:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]Area = \frac{296.18}{360} * \pi * 6^2[/tex]
[tex]Area = \frac{296.18}{360} * \pi * 36[/tex]
Divide 360 and 36
[tex]Area = \frac{296.18}{10} * \pi[/tex]
[tex]Area = 29.618 * \pi\\[/tex]
[tex]Area = 29.62 \pi[/tex] --- approximated
csc^ 2 theta- csc^ 2 theta sec^ 2
Answer:
-csc²θ(tan²θ)
Step-by-step explanation:
csc²θ-csc²θ(sec²θ)
-csc²θ(-1+sec²θ)
-csc²θ(tan²θ)
HELP HELP HELP HELP PLZZZZZ
Which of the pairs of angles are vertical angles and thus congruent? ∠A and ∠G ∠A and ∠B ∠C and ∠F ∠D and ∠H
Answer:
∠A and ∠G is the pair of vertical angles.
Step-by-step explanation:
From the figure attached,
Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.
Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."
Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.
From the given options,
∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.
Answer:
∠A and ∠G
Step-by-Step Explaination:
I did it on
E
D
G
E
N
U
I
T
Y
Please can somebody help me
Answer:
Rectangle: bh or l · w
Circle: pi(r)²
$5000 grew to $9000 at the compound interest of 12% per annum what was the years taken for the investment
Answer:
1year?hehehehehehehehehe
Picture Below
(i have to make this 20 characters so I'm doing this now)
Answer:
H.
Step-by-step explanation:
16x^2 is the big square area and the -10x comes from subtracting the smaller area from the big one
Answer:
H. is the answer
hope this helps
have a good day :)
Step-by-step explanation:
For all x -4 which of the following is equivalent to the expression below?
x2 + 12x + 32 / x + 4
A. X + 3
B. X + 8
C. X + 11
D. X + 16
E. X + 28
A and e
Step-by-step explanation:
i did this on khan so I know it
The expression (x² + 12x + 32)/(x + 4) is equivalent to (x+8) option (B) (x+8) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
[tex]=\rm \dfrac{x^2 + 12x + 32} { x + 4}[/tex]
[tex]=\rm \dfrac{(x+4)(x+8)} { x + 4}[/tex]
As it is given, x ≠ -4
We can cross the term (x+4) from the numerator and denominator.
= (x+8)
Thus, the expression (x² + 12x + 32)/(x + 4) is equivalent to (x+8) option (B) (x+8) is correct.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
25 points! Please help!
Answer:
17.5(D)
Step-by-step explanation:
So, lets see:
Every 5 minutes, Raul answers 22 questions.
The test has 77 questions.
We must figure out the time it takes to answer all 77 questions.
To do this, lets first divide the total questions by the questions answered per 5 minutes:
77 / 22
=
3.5
I got 3.5 knowing that 3x22 is 66, and half(0.5) of 22 is 11, and 11 plus 66 is 77.
So, the 3.5 is how many times he answrs 22 questions in five minutes.
To make a bit more sense, basically we have to multiply the 5 minutes by the 3.5:
3.5*5
=
17.5
We know that 3 times 5 is 15. Half(0.5) of 5 is 2.5, so 15+2.5 is 17.5.
So the answer is that for the 77 quesitons, it takes 17.5 minutes
HOPe this helps!
Calculate the surface area of a prism with the following dimensions.
the length (l) = 13 units, the width (w) = 2 units and the height (h) = 17 units.
a.
278 sq. units
c.
562 sq. units
b.
276 sq. units
d.
987 sq. units
Answer:its B I did the quiz
Step-by-step explanation: