Answer:
1,9,972
2,6,288
3,12,2304
Step-by-step explanation:
Solve the equation for the variable b: ab - 2c = 4
Answer:
b = (4+2c)/a
Step-by-step explanation:
ab - 2c = 4
Add 2c to each side
ab - 2c+2c = 4+2c
ab = 4+2c
Divide each side by a
ab/a = (4+2c)/a
b = (4+2c)/a
Answer:
b = 4 + 2c / a
Step-by-step explanation:
ab - 2c = 4
ab - 2c + 2c = 4 + 2c ..( add 2 both side)
ab = 4 + 2c
ab / a = 4 + 2 c / a ...( Divide each side by a)
b = 4 + 2c / a
The following data are monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007, obtained from a random sample of such apartments advertised at rent.com in July 2007:
500, 549, 569, 575, 585, 600, 630, 680, 705, 790, 845
The mean of these eleven rent prices is $638.91 ,and the standard deviation is $105.93 .
1. Determine the standard error of the sample mean.
2. Describe what the population mean µmeans in this context.
3. Determine a 95% confidence interval for µ.
4. Write a sentence interpreting what this interval means.
5. Would you expect about 95% of the studio and one-bedroom apartments in Harrisburg in July 2007 to have a rent price within this interval? Explain.
Answer:
Part 1
SE= 31.94
Part2;
The population mean tells us that what would be the mean of all the monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007.
Part 3:
576.31, 701.51
Part4:
This means that the 95%of the interval 576.31, 701.51 will have contain the value of the population parameter mean u.
Part 5:
Yes. out of 100 , 95 of the intervals will contain the true value of population mean u .
Step-by-step explanation:
Part 1
The standard error is calculated using the formula
SE = S/√n
where s is the standard deviation of the sample = $ 105.93
and n is the sample size= 11
Putting the values we get
SE= $ 105.93/ √11= 31.939
Part2;
The population mean tells us that what would be the mean of all the monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007.
Part 3:
The z∝/2 value for 0.05 is ± 1.96
The 95 % confidence interval will be given by
x` ±z ∝/2 * s/√n
Putting the values
638.91 ± 1.96 * 31.94
638.91 ± 62.6006
576.31, 701.51
Part4:
This means that the 95%of the interval 576.31, 701.51 will have contain the value of the population parameter mean u.
Part 5:
Yes when the hypothesis testing is done and the sample mean is found to be equal to the population mean then it means that the population mean is to be found in this interval; 95% .
Or out of 100 , 95 of the intervals will contain the true value of population mean u.
Jenn can rake the yard in 4.75 hours. Kathy can do the raking job in 7 hours. How long will it both girls working together?
Answer:
4.75 hour
Step-by-step explanation:
what is the value of a?
Hope this help!!!
Have a nice day!!!
Answer this guys please
[tex]\longrightarrow{\green{A.\:-8}}[/tex] ✔
Step-by-step explanation:
[tex]f(x )= - {x}^{2} + 1[/tex]
Plugging in the value "[tex]x\:=\:-3[/tex]" in the above expression, we have
[tex]f( - 3) = - ({ - 3})^{2} + 1 \\ \\ = - ( - 3 \times - 3) + 1 \\ \\ = - (9) + 1 \\ \\ = - 9 + 1 \\ \\ = - 8[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
[tex] \quad \quad \quad \quad \tt{f(x) = { - x}^{2} + 1} \: \: when \: \: x = - 3[/tex]
Let's try![tex] \quad \quad \quad \quad \tt{ ⟶f(x) = { - x}^{2} + 1}[/tex]
[tex] \quad \quad \quad \quad \tt{⟶f(-3) = {- (-3)}^{2} + 1}[/tex]
[tex] \quad \quad \quad \quad \tt{⟶ f( - 3) = { - (9) + 1}}[/tex]
[tex]\quad \quad \quad \quad \tt{⟶ f( - 3) = { - 9 + 1}}[/tex]
[tex]\quad \quad \quad \quad \tt{ ⟶f( - 3) = { -8}}[/tex]
Hence, The answer is:[tex]\quad \quad \quad \quad \boxed{\tt{ \color{green}f( - 3) = { - 8}}}[/tex]
_________
#LetsStudy
What is the solution to the equation blow?
x + 6 = 24
There are 6 chef assistants and 2 servers. How many staff are working there?
Answer: 8
Step-by-step explanation:
are you in elementary school
Answer:
8 staff
Step-by-step explanation:
6 +2 = 8 There are 8 staff working there.
If this is done a different way explain or lmk? Hope you are having a wonderful day!! Of not it'll get better I promisee! <33 :))
Find mZ3 if mZ5 = 145º and mZ4 = 45°
9514 1404 393
Answer:
C. 100°
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angles.
∠5 = ∠3 +∠4
145° = ∠3 +45° . . . . fill in the given values
100° = ∠3 . . . . . . subtract 45° from both sides
Two letters from the word HAPPY are randomly chosen with replacement. What is the probability of choosing an H or P on either selection?
answer in decimal
Answer:
0.5 I believe
Step-by-step explanation:
In a Gallup poll, 1025 randomly selected adults were surveyed and 29% of them said that they used the Internet for shopping at least a few times a year. Find a 99% confidence interval estimate of the proportion of adults who use the Internet for shopping.
Answer: (0.25,0.33)
Step-by-step explanation:
A 99% confidence interval for population proportion is given by:-
[tex]\hat{p}\pm 2.576\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex] = sample proportion, [tex]n[/tex] = sample size.
Given: [tex]n=1025, \hat{p}=0.29[/tex]
A 99% confidence interval estimate of the proportion of adults who use the Internet for shopping:
[tex]0.29\pm 2.576\sqrt{\dfrac{0.29(1-0.29)}{1025}}\\\\=0.29\pm 2.576\sqrt{0.00020087804878}\\\\=0.29\pm2.576(0.01417)\\\\=0.29\pm0.03650192\\\\=(0.29-0.03650192,\ 0.29+0.03650192)\\\\=(0.25349808,\ 0.32650192)[/tex]
[tex]\approx(0.25,\ 0.33)[/tex]
Thus, a 99% confidence interval estimate of the proportion of adults who use the Internet for shopping = (0.25,0.33)
Help on this question please.
Answer:
a) P = 6x + 13//
b) i) x = 5//
ii) 9//
Step-by-step explanation:
a) P = 2(x+2) + 2(2x-1) + 3 + 8 m
= 2x+4 + 4x-2 + 3 + 8
= 6x + 13//
b) i) P = 43 m
43 = 6x + 13
43-13 = 6x
30 = 6x
6 6
x = 5//
ii) longest side = (2x-1) m
2 × 5 - 1
10-1 = 9//
4) A piece of hematite contains 70%
iron. If the hematite weighed 60g,
how much iron would there be?
6) A survey of 250 trees in a small
Answer:
42g
Step-by-step explanation:
70% of 60 = 42
Do less Republicans (group A) then Democrats (group B) favor the government investing billions of dollars to improve the country's train system? One thousand Republicans and one thousand Democrats were asked if they favored spending billions to improve the country's train system. How would we write the alternative hypothesis?
A. Ha: pA - pB does not equal 0
B. Ha: pA - pB < 0
C. Ha: pA - pB > 0
D. Ha: pA - pB = 0
Answer:
I don't understand at all
What is the degree of 1
Answer:
28
Step-by-step explanation:
As one can see, the given diagram has two perpendicular lines. This means that two lines intersect each other at a right angle, therefore all of the resulting angles are (90) degree angles. This is indicated by one of the boxes around the angle. Moreover, this means that the angle that measures (62) degrees, plus angle (1) forms a (90) degree angle. Using this information, make an equation and solve for the measure of angle (1);
62 + (m<1) = 90
Inverse operations
62 + (m<1) = 90
m<1 = 28
ILL GIVE YOU BRAINLIEST IF YOU GET IT RIGHT AND EXPLAIN
Susie wants to paint the outside of her dollhouse, but she will need to buy a special type of acrylic paint. If each bottle of acrylic paints covers 25 square feet, how many bottles of acrylic paint will berbeded to paint the dollhouse? *
Answer:
4 bottles
Step-by-step explanation:
First u find the surface area of the pyramid
3.5 * 3 / 2 = 5.25
You multiply that by 4 since there are 4 sides
5.25 x 4 = 21
Then u find the area of the rectangle
3 * 4 = 12 per rectangle
12 * 5 (sides of the rectangle) = 60
add them together
60+21 = 81
81/25 = 3.24
round to the biggest next whole number
4
Plz help me solve this
write 0.824 as a fraction in the simplest form
This exercise involves the formula for the area of a circular sector. The area of a circle is 700 m2. Find the area of a sector of this circle that subtends a central angle of 3 rad.
Answer:
334.4 m²
Step-by-step explanation:
The formula for the area of a sector is given as:
1/2 × r² × θ
Where θ = Central angle
Area of a Circle = 700 m²
The formula for the area of a circle = πr²
r = Radius of a circle
r² = Area / π
r = √Area / π
r = √700/π
r = 14.927053304 m
Approximately, r = 14.93 m
Therefore, the area of the sector
= 1/2 × r² × θ
= 1/2 × 14.93² × 3 rad
= 334.35735 m²
Approximately, Area of the sector = 334.4 m²
What is the slope of the line shown below?
10
O A. 2
5
(3,6)
OB. 4
O c. -4
-5
10
15
5
(1,-2)
-5
O D. 2
-10
Answer:
B
Step-by-step explanation:
Slope Formula
6 - (-2) / 3 - 1
8 / 2 = 4
The slope of the graph is 4.
Option B is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The coordinates from the graph are:
(1, -2), and (3, 6)
Now,
Slope.
= (6 -(-2)) / (3 - 1)
= (6 + 2) / 2
= 8/2
= 4
Thus,
The slope of the graph is 4.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ5
Name this triangle by its sides and angles. This is a(n) ____________________ triangle.
a triangle with one right angle and three non-congruent sides
right triangle
Hope this helps! :)
Any help to solve this one?
Answer:
Step-by-step explanation:
[tex]81^{1/2}[/tex]
[tex]3^4*{1/2}[/tex]
[tex]3^{4/2}[/tex]
[tex]3^{2}[/tex]
9
[tex]-16^{3/4}[/tex]
[tex](-2)^{4 *3/4}[/tex]
[tex](-2)^{12/4}[/tex]
[tex](-2)^{3}[/tex]
-8
Whats the order of rotational symmetry for brainlest
Answer:
1Step-by-step explanation:
A circle has rotation symmetry around the center for every angle. A circle has an unlimited number of angles of symmetry and the order of its rotation is infinite.
What angle corresponds to 1/6 of a circle
PLEASE HELP WILL MARK IF YOU HELP!!
Answer:
3. 107,5
4. R = 44
RM = 35 (isosceles triangle)
Answer:
for the first one answer is OLE is 107.5 degree
and for the second one,
m R is 44 and RM is 35 cm
determine the missing angle.
The angle at the vertex of a rectangle is 90°
So, it means that,
= ? + 40 = 90
= ? = 90 - 40
= ? = 50
Answer:
50°
Step-by-step explanation:
x = ?°
x + 40° = 90°
x = 90° - 40°
x = 50°
The volume of a sphere is 904.32 mm3. What is the approximate volume of a cone that has the same height and a circular base with the same diameter? Use 3.14 for π and round to the nearest hundredth.
Answer:
[tex]V_c=452.16\ mm^3[/tex]
Step-by-step explanation:
Given that,
The volume of a sphere is 904.32 mm³.
The volume of a cone that has the same height and circular base with the same diameter is:
[tex]V_c=\dfrac{1}{3}\pi r^2 \times 2r=\dfrac{2}{3}\pi r^3[/tex]
The volume of a sphere with the same radius is:
[tex]V_s=\dfrac{4}{3}\pi r^3=2\times \dfrac{2}{3}\pi r^3[/tex]
So, the volume of sphere is :
[tex]V_c=\dfrac{V_s}{2}\\\\V_c=\dfrac{904.32 }{2}\\\\V_c=452.16\ mm^3[/tex]
So, the volume of the cone is [tex]452.16\ mm^3[/tex].
What is -6(9-9v)
Please only answer with the answer
Answer:
v = 1
Step-by-step explanation:
-6(9-9v)
-6*9 = -54
-6*(-9v) = 54v
-54+54v = 0
+54 +54
54v = 54
divide both sides by 54
v = 1
I don’t know how to explain on why the student was incorrect
Answer:
the constant proportionality means the ratio between two directly proportional quantities.
so the constant proportionality will be 7.5÷6=1.25 or 10÷8=1.25 or 12.5÷10=1.25
constant proportionality should be same all through because it's a constant
What is the vertex of the absolute value function below?
Answer:
(-3,2)
Step-by-step explanation: The bottom most point of the graph is 3 back from 0 and 2 up from 0
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!
Solve for X and Y in the rectangle.
Thank you!m
Y = 20
X = 70
We know Y is 20 because both triangles are the same size. 20 is in the opposite corner to Y. The right corner is 90 degrees. There are 180 degrees in a triangle. To get your answer you are going to add 20 and 90 to get 110 then you will subtract 110 from 180.
