A rectangular room measures 12ft x 10ft how much wallpaper border is needed to go around the room?
Answer:
44ft
Step-by-step explanation:
P= 2(L+W)
P= 2(12+10)
P= 2(22)
P=44ft
The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card. You are given the following information. Assume the samples were selected randomly. Store's Card Major Credit Card Sample size 64 49 Sample mean $140 $125 Population standard deviation $10 $8 Refer to Exhibit 10-6. At 95% confidence, the margin of error is
Answer:
The margin of error is of $3.3124.
Step-by-step explanation:
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the mean, while the standard deviation is the square root of the sum of the variances.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Store's Card:
Sample of 64, mean of 140, standard deviation of 10, sample of 64, standard error of [tex]s = \frac{10}{\sqrt{64}} = 1.25[/tex]
Major Credit Card:
Sample of 39, mean of 125, Standard deviation of 8, Sample of 49, standard error of [tex]s = \frac{8}{\sqrt{49}} = 1.14[/tex]
Subtraction:
Mean: 140 - 125 = 15
Standard deviation:
[tex]\sigma = \sqrt{1.25^2+1.14^2} = 1.69[/tex]
Confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = zs[/tex]
Then
[tex]M = 1.96*1.69 = 3.3124[/tex]
The margin of error is of $3.3124.
Given the pattern 2; 5; 8; 11; m. What is the value of the m???
Use t = 3 and t = 7 to determine if 6t + 12 and 6(t + 2) are equivalent. Which statements are true? Check all that apply.
The value of the first expression when t = 3 is not equal to the value of the second expression when t = 3.
The value of the first expression when t = 7 is not equal to the value of the second expression when t = 7.
The value of both expressions when t = 3 is 30.
The value of both expressions when t = 7 is 54.
The expressions are equivalent.
The expressions are not equivalent.
Answer:
1. false
2. false
3. true
4. true
5. true
6. false
Step-by-step explanation:
1. The value of the first expression when t = 3 is not equal to the value of the second expression when t = 3.
2. The value of the first expression when t = 7 is not equal to the value of the second expression when t = 7.
3. The value of both expressions when t = 3 is 30.
4. The value of both expressions when t = 7 is 54.
5. The expressions are equivalent.
6. The expressions are not equivalent.
6t + 12 = 6(t + 2)
6(3) + 12 =6((3) + 2)
18 + 12 = 6(5)
30 = 30
6(7) + 12 = 6((7) + 2)
42 + 12 = 6(9)
54 = 54
Step-by-step explanation:
A farmer packed 37 pumpkins . Each pumpkin had a weight of about 48 ounces .He put them into three baskets. : The weight of the pumpkins in baskets A was 3 Time that of the pumpkins in baskets. : The weight of the pumpkins in basket B was twice that of the pumpkins in Basket C. : The weight of the empty basket C was 140 ounces. :What was the total weight of basket C and the pumpkins in it.
Answer:
436 ounces
Step-by-step explanation:
You start of by finding the total weight of the pumpkins
37 × 48 = 1776 ounces
We know that basket A+B+C has to equal the total weight of the pumpkins
Since basket C is by itself it's weight alone equals p (pumpkins)
A=3p
B=2p
C=p
Now we put the equation together
[tex]total weight of pumpkins= A+B+C[/tex]
1776=3p+2p+p
1776= 6p
Divide the the 6 over to get p by itself
[tex]\frac{1776}{6} =p[/tex]
p=296 ounces
Then you have to add the weight of the empty basket
296+140= 436 ounces
If QRST is a kite, find mZQRS. R (11x - 6) 79° S (4x + 13) T mZQRS
I really need help!
Step-by-step explanation:
4x +13 +79+79+ 11x-6 = 360
15x +165 = 360
15x = 195
x =13
QRS = 11(13)-6 = 137
Hudson invested $8,400 in an account paying an interest rate of 5.4% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 13 years?
The answer to the problem is 16870
Landon is going to invest in an account paying an interest rate of 6.6% compounded daily. How much would Landon need to invest, to the nearest dollar, for the value of the account to reach $3,250 in 18 years?
Answer:
$990.95
Step-by-step explanation:
The computation of the present value or the invested amount is given below:
Given that
NPER = 18 × 365 days
RATE = 6.6% ÷ 365
FV = $3,250
PMT = $0
The formula is shown below:
= -PV(RATE;NPER;PMT;FV;TYPE)
AFter applying the above formula, the present value is $990.95
Answer:
the answer is 991 when rounded to the nearest dollar
Step-by-step explanation:
PAST DUE DATE NEED DONE NOW! NO LINKS! HELP ME FIND THE EQUATION. just a simple answer please :(
What is the answer please help if you put a link you will get reported
The answer is 240 people
How to find a percent:
Percentage = (number you want to find the percentage for ÷ total) × 100.
Asap help me please !
9514 1404 393
Answer:
D. MN ⊥ LP
Step-by-step explanation:
Using HL for the proof requires that the triangles be right triangles. In order to ensure that is the case, you must have MN⊥LP.
what is 49, 423 rounded to the nearest ten thousand?
Answer:
50,000
Step-by-step explanation:
What is the slope-intercept equation of the following line?
Answer:
Hi Joanna, what do you find difficult about this problem? Just wondering
Step-by-step explanation:
? = 2
the grey box is 7
ask me if you want to know how I got those :)
Wouldn’t it be the 3rd answer 1/3 + 1/4 because you have to convert the dominators into 12 then you will get 4/12 and 3/12 then just add them and you’ll get 7/12 cause you can’t add different dominators.
Answer:
Yes, correct
Step-by-step explanation:
Hope that helppppps
What is the total for my $ 22.73 fabric purchase after 6% sales tax?
&& can you explain how you got what you got
Answer:
21.3662 $
Step-by-step explanation:
100% - 6% = 94%
22.73 × 94/100 = 21.3662$
Sam made a model of the Liberty Bell with a
base circumference of 8 inches. If the base
crcumference of the actual Liberty Bell is 12
feet, what scale did he use?
Answer:
1 : 18
Step-by-step explanation:
When finding scale factor, both measurements should in same unit
Circumference of the model bell = 8 inches
1 feet = 12 inches
12 feet = 12 * 12 = 144 inches
Circumference of the actual bell = 12feet = 144 inches
Model : Actual = 8 : 144
= 8÷8 : 144÷8
= 1 : 18
WILL GIVE BRAINLIEST
Water flows at a rate of 6500 cubic inches per minute into a cylindrical tank. The tank has a diameter of 120 inches and a height of 72 inches. What is the height, in inches, of the water in the tank after 5 minutes? Round your answer to the nearest tenth.
Answer:
The answer is 1.2
Step-by-step explanation:
Hope this helps
The height of the water in the tank after 5 minutes is 2.87 inches if the tank has a diameter of 120 inches and a height of 72 inches.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
We have:
Water flows at a rate of 6500 cubic inches per minute into a cylindrical tank.
Volume or amount of water after 5 minutes:
= 6500×5
= 32500 cubic inches
The base area of the cylindrical tank = πr²
r is the radius of the tank
The diameter of the tank = 120 inches
The radius r = 120/2 = 60 inches
The base area of the cylindrical tank = π(60)² = 79200/7
∵ π = 22/7
The height of the water in the tank after 5 minutes
= 32500/(79200/7)
h = 2.87 inches
Thus, the height of the water in the tank after 5 minutes is 2.87 inches if the tank has a diameter of 120 inches and a height of 72 inches.
Learn more about the cylinder here:
brainly.com/question/3216899
#SPJ2
Use the graph of the function f to determine the given limit. f(x) x→ -3
Answer:
explanation is in a files
Eric buys a coffee table price d at $100. If the sales taxis 5%, what wil lbe the total cost including tax?
Answer:
$105.00
Step-by-step explanation:
100 x 1.05 = $105.00
Answer:
with included tax : $150
Help ASAP I’ll mark branlyest
Answer:
A) 45cm²
Step-by-step explanation:
area of triangle = 1/2×base ×height
therefore, 1/2×10×9
=45cm²
the answer is c, i assume
Step-by-step explanation:
I am not certain about this answer, but give it a go.
HELP!!! FIRST TO ANSWER GETS BRAINIEST!!!Which of the following equations was used to graph the line shown?
Answer:
Which Equations???
Step-by-step explanation:
Also for coordinates its
([tex]6,6[/tex])
And I think I answer is A
Hope this helps.. Have a nice day :)
Answer:
y=-x+6
Step-by-step explanation:
A negitive line faces down so this becomes y=-x. so in y=mx+b, b is the point where the line crosses the y axis. So that crosses at 6, so your eqation is y=-x+6
a customer asked for 48 oz of turkey lunch meat and 64 oz of cheese.How many pounds of lunch meat did the customer buy in total
Answer:
in order to get the total you must add add 48 + 64 whereby you get 112
Step-by-step explanation:
the the customer bought 112 pounds of meat hope that helps
A statue is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Using a separate sheet of paper, draw a picture, set up a proportion)
a. 32 feet
b. 46 feet
c. 20 feet
d. 200 feet
Answer:
The shadow is 3/4 of the actual height.
24 foot shadow = 4/3 * 24 = 32 feet
Answer is a
Step-by-step explanation:
THis is on Pythagorean Theorem
Answer:
x = 8
Step-by-step explanation:
a² + b² = c²
x² + 6² = 10²
x² + 36 = 100
x² = 100 - 36
x² = 64
[tex]\sqrt{x^2} =\sqrt{64}[/tex]
x = 8
Answer:
x=8
Step-by-step explanation:
6^2 = 36 = 100-36 = 64 square root of 64= 8
Evaluate the polynomial for x=1
Answer:
2
Step-by-step explanation:
Hi there,
In order to solve this expression, you need to substitute x for 1.
You will end up with this expression:
3([tex]1^{2}[/tex]) - 2(1) + 1
Now, simplify the expression.
⇒ 3 - 2 + 1
⇒ 1 + 1
⇒ 2
Therefore, the answer when we evaluate the polynomial for x = 1 is 2.
The product of 2 and 1 and 1/2 is ______ 2.
Greater than
Equal to
Less than
No answer text provided.
no link plz
Answer:
It is Greater Than because 2 x 1.5 = 3
blank minus 1/2 equals to 1/5
Answer:
____ or x = 7/10
Step-by-step explanation:
Lets rewrite it
____ - 1/2 = 1/5
Lets say ____ = x
x - 1/2 = 1/5
x = 1/2 + 1/5
x = 5/10 + 2/10
x = 7/10
CHECK
7/10 - 1/2 =
7/10 - 5/10 = 2/10 = 1/5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
corresponding angles
Step-by-step explanation:
i dont know how to explain but this file may help prove for my solution
Help please mathematical answer pleas and I need it fast
Answer:
I gave the answer right for this
Mary wants her friend to guess how many cards she has in her hand. She says that if the number of cards in her hand is tripled, and 4 are added, then she has 22 cards.
Answer:
22 minus 4 = 18
18 divided by 3 is equal to 6
then following from the question now that we got the answer
so she have 6 cards first then it tripled and now it's 18 Then she added four now it's 22
your welcome
Answer:
6
Step-by-step explanation:
let x be the number of cards
3x + 4 = 22
3x = 18
x = 6