Answer:
sorry I didn't know the answer
While doing an article on the high cost of college education, a reporter took a random sample of the cost of new textbooks for a semester. Her sample consisted of 20 students with a mean of $212.45 and a standard deviation of $38.92. A. Find the 99% confidence interval estimate of the true mean textbook cost for the semester based on her sample. Assume the cost of new textbooks is normally distributed.B. Based on part a, is an average cost of $200 for a semester a likely value for the population mean? Why or why not?
Answer:
The answer is below
Step-by-step explanation:
Given that:
mean (μ) = $212.45, standard deviation (σ) = $38.92 and sample size (n) = 20 students.
a) Confidence (C) = 99% = 0.99
α = 1 - C = 1 - 0.99 = 0.01
α/2 = 0.01/2 = 0.005
The z score of α/2 is the same as the z score of 0.495 (0.5 - 0.005) which is equal to 2.576. This means that Z(α/2) = 2.576
The margin of error (E) is given as:
[tex]E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } \\\\Substituting:\\\\E=2.576*\frac{38.92}{\sqrt{20} } \\\\E=8.7[/tex]
The confidence interval = (μ ± E) = (212.45 ± 8.7) = (203.75, 221.15)
Hence the 99% confidence interval is between 203.75 and 221.15.
b) The population mean is the same as the sample mean. Hence the population mean = $212.45
name the property
cx1=c
83+(52+17)=(83+52)+17
22+b+18=b+22+18
Answer:
distributive property :)
The length of a beige is 500 miles if 1 inch represent 25 miles what is the length of the bridge ?
Answer:
20 inch
Step-by-step explanation:
500 divided by 25 is 20.
En una baraja de 52 cartas, donde hay 13 cartas de trébol. 13 cartas de
corazones, 13 cartas de espadas y 13 cartas de rombos. Si sacamos dos
cartas con reemplazo. ¿Cuál es la probabilidad de que sean de
corazones?
2. O
Mia buys ink at the office supply store for a business.
She buys 3 printer cartridges, and the sales tax is 7%. Write an expression
to represent the total cost of ink supplies in two different ways.
Answer:
The total cost of the ink supplies can be represented in two different ways, as follows:
a. 3p (1+r)
b. p * (1+ r) * 3
Step-by-step explanation:
a) Data and Calculations:
Number of printer cartridges bought = 3
Sales tax rate = 7%
The total cost can be represented as:
Total cost = 3p (1+r)
where p = the price of a printer cartridge
and r = the sales tax rate
Alternatively, the total cost can be represented as:
Total cost = p * (1+ r) * 3
b) Whichever expression is used, the total cost derived will remain the same. The first expression includes the sales tax in the total cost, while the second expression includes the sales tax in the cost of the unit before arriving at the total cost.
Answer:
3c+3c(0.07)
Step-by-step explanation:
please help meeee I need help
Answer:
Option 1
Step-by-step explanation:
Answer:
Option 2.
Step-by-step explanation:
The slope is negative, so it goes down from left to right.
Help PLZ I am failling math
find two numbers a and b for which a+2b=100 and the product ab is maximized
Points on number line
Answer:
-22 or -2
Step-by-step explanation:
Understanding size
If RS is 10, it does not matter where they are. As long as they are 10 units apart, it works.
However, we already know S lies at -12 so we only have 2 choices for R.
Check the picture I uploaded for better understanding.
This is because RS doesn't mean that R has to be before S. It just means that they are a segment. This means that RS and SR are the same segments.
NEGATIVE INTEGER LESS THAN -5
Answer:
-6
Step-by-step explanation:
-6, -7, -8... and so on are less than -5
Answer:
-6, -7, -8... etc.
Step-by-step explanation:
273+147+325 how much is it all together
Answer:
745
Step-by-step explanation:
Answer:
745.
Step-by-step explanation:
Next time you can use a calculator so you don't use up your points if you want.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Juliette gagne 1500 € par mois. Elle est augmentée de 2%
a) calculer le montant de son augmentation en euro
b) déterminer le taux d'évolution : t=
c) calculer le coefficient multiplicateur de l'augmentation: C=
d) calculer son nouveau salaire en euro
Pouvez vous m'aider, je ne comprend pas
how to solve 52/48 in the form of hcf
HCF is 4
Step-by-step explanation:
factors of 52 are: 2x2x13
factors of 48 are:2x2x2x2x3
common factors of 52%48 are: 2
hence, = 2x2
=4
hope it helps
Reid earns $9.00 per hour painting furniture and has already earned $22.50. The number of hours, x, for which Reid painted can be found using the equation 22.50=9x.
How many hours did Reid paint?
Answer:
2.5 hours or 2 hours and 39 min
Step-by-step explanation:
22.50/9
Find the value of x that will make A||B.
А
5X
(4x + 12
x
< = [?]
Answer:
x=12
Step-by-step explanation:
Lines A and B are parallel, with a transversal passing through them.
The properties of two parallel lines and a transversal tells us that angles 5x and 4x+12 must be equal, because they are a pair of alternate exterior angles.
To solve for x, we do 5x=4x+12
Subtract 4x on both sides
x=12
Answer: 12
Step-by-step explanation:
What is the length of the line segment that joins (3, -2) and (3, 9)
Step-by-step explanation:
[tex] \sqrt{3 - 3} + \sqrt{9 - - 2} [/tex]
[tex] \sqrt{0} + \sqrt{11} [/tex]
[tex] \sqrt{11} [/tex]
Thats the answer of distance
can someone help me out with this problem?...REAL ANSWERS ONLY
The height in feet, h, of a model rocket t seconds after launch is given by the equation h(t) = 3+70t - 16t^2. The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?
Answer:
The average rate of change
[tex]\frac{dh}{d t} = 70 (1) - 16(2t)[/tex]
At t = 1
[tex]\frac{dh}{d t} = 70 (1) - 16(2t) = 38[/tex]
at t=3
Step-by-step explanation:
Step(I):-
The given function h(t) = 3+70t - 16t²
[tex]\frac{dh}{d t} = 70 (1) - 16(2t)[/tex]
The [tex]\frac{dh}{d t} = 70 (1) - 16(2t) =0[/tex]
70 - 32 t = 0
⇒ 70 = 32 t
⇒ [tex]t = \frac{70}{32} = \frac{35}{16}[/tex]
Step(ii):-
The average rate of change in h(t) between t = 1 second and t = 3 second
[tex]\frac{dh}{d t} = 70 (1) - 16(2t)[/tex]
At t = 1
[tex]\frac{dh}{d t} = 70 (1) - 16(2t) = 38[/tex]
At t = 3
WILL MARK BRAINLIEST! What are the coordinates of point P?
A. (Negative 4.5, negative 2)
B. (Negative 2, negative 4.5)
C. (2, negative 4.5)
D. (4.5, negative 2)
Brian is skateboarding at 8 kilometers per hour. How long will it take Brian to travel 12 kilometers?
Answer:
An hour and 30 minutes.
Step-by-step explanation:
In one hour, they travel 8 kilometers. They then have 4 kilometers left. 4 is half. of 8, so I would possibly take half the time it would to travel 8, making it 30 minutes for the other 4 kilometers.
if f is a signum function then f(100) =
Answer:
787
Step-by-step explanation:
i took the test
Please solve it quickly! thanks!
Answer:
2a - 8
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
(a - 3) + (a - 5)
Step 2: Simplify
Combine like terms (a): 2a - 3 - 5Combine like terms (Z): 2a - 8
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 2/7 of
the drink is apple juice and 1/2 is orange juice then write the ratio of cranberry juice to apple
juice to orange juice in its simplest form,
Answer:
3 : 4 : 7
Step-by-step explanation:
apple juice - 2/7 = 4/14
orange juice - 1/2 = 7/14
AJ + OJ = 11/14
this means that 3/14 of the punch is cranberry juice.
cranberry : apple : orange
3 : 4 : 7
PLEASE HELP MEEEEEE I REALLY NEED HELP WITH THISSSSSSSSS QUESTION PLEASE I NEEEEDDD HELPPPP IM BEGGGING YOUUUU
Answer:
volume of figure = 74 cm³
Can anyone please helping me out with question 3 it’s my last question and I can’t get it!!!
Answer:
x=1, y= -1
Step-by-step explanation:
x = 2y +3
3x -y = 4
Use the substitution method because we have x= something in terms of y
3 (2y+3) -y = 4
6y + 9 -y = 4 subtract 9 from both sides
6y -y = 4-9 combine like terms
5y = -5 divide both sides by 5
y = -1
x= 2*(-1) +3 = -2+3 = 1
Since 20% of 950 is
students can use
?
square feet of the courtyard.
190 square feet.
Step-by-step explanation:
In this problem, we assume that the courtyard measures 950 square feet.
So, 20% of 950 is
That is, the 20% of the courtyard is 190 square feet.
Therefore, the complete statement is
Since 20% of 950 is 190 , students can use 190 square feet of the courtyard:
190 square feet.
Step-by-step explanation:
In this problem, we assume that the courtyard measures 950 square feet.
So, 20% of 950 is
20 \%(950)=\frac{20}{100}950=\frac{1}{5}950= 190ft^{2}20%(950)=
100
20
950=
5
1
950=190ft
2
That is, the 20% of the courtyard is 190 square feet.
Therefore, the complete statement is
Since 20% of 950 is 190 , students can use 190 square feet of the courtyard
Increase £15837.77 by 8.5%
Answer:
32,100 Millimeters
3,210 Centimeters
3.21 Decameters
Hope It Helps
Step-by-step explanation:
1/3 + a =5/4
what does a equal
Answer:
the answer to this is a = 11/12
Step-by-step explanation:
a^3=4a^2+21a
need help please
Hello!
[tex]\large\boxed{a = 0, -3, 7}[/tex]
a³ = 4a² + 21a
Move all "a" to one side:
0 = -a³ + 4a² + 21a
Factor out "-a" from the equation:
0 = -a(a² - 4a - 21)
Solve for a by factoring:
0 = -a(a - 7)(a + 3)
Solve for the roots by setting each factor equal to 0:
-a = 0
a = 0
a - 7 = 0
a = 7
a + 3 = 0
a = -3
Solutions: a = 0, -3, 7
Finish the following table for the given function with x as the independent variable. x 10 10 15 10 15 Ax) = V100- x
a. 95, 90, 85
b. 9.75, 9.49, 9.22
C. 9.75, 9.22, 9.49
d. 10, 9,8
Answer:
Option (b) is true.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\sqrt{100-x}[/tex]
plug in x = 5 in the function
[tex]f\left(5\right)=\sqrt{100-5}[/tex]
[tex]\:f\left(5\right)=\sqrt{95}\:\:\:\:[/tex]
[tex]f(5) = 9.75[/tex]
plug in x = 10 in the function
[tex]f\left(10\right)=\sqrt{100-10}[/tex]
[tex]\:f\left(10\right)=\sqrt{90}\:\:\:\:\:[/tex]
[tex]\:f\left(10\right)=9.49[/tex]
plug in x = 15 in the function
[tex]f\left(10\right)=\sqrt{100-15}[/tex]
[tex]\:f\left(10\right)=\sqrt{85}\:\:\:\:\:[/tex]
[tex]\:\:f\left(15\right)=9.22[/tex]
Thus, the table will be:
x f(x)
0 10
5 9.75
10 9.49
15 9.22
Therefore, option (b) is true.