The length of a rectangle is 4 inches less than twice its width. If the perimeter of the rectangle is 64 inches, what are the dimensions of the rectangle?
Show work please
Answers
Answer:
Step-by-step explanation:
Related Questions
Airlines must be careful about the total weight of baggage carried by a plane on a commercial flight. Passengers with items exceeding the maximum single-item weight (usually about 70 pounds) must pay a fee (usually about $50.00 per item). Airlines continually monitor the proportion of overweight items in order to evaluate the appropriateness of the overweight fees. English Air charges different amounts for overweight items on flights to the U.S. and Canada than it does on flights within Europe. Recently, a random sample of 256 items checked on English Air flights to the U.S. and Canada contained 37 overweight items, and an independent, random sample of 246 items checked on English Air flights within Europe contained 41 overweight items.
Based on these samples, can we conclude, at the 0.05 level of significance, that there is a difference between the proportion of all items on English Air flights to the U.S. and Canada which are overweight (p1) and the proportion of all items on English Air flights within Europe which are overweight (p2)?
Answers
Answer:
The p-value of the test is 0.4966 > 0.05, which means that we cannot conclude, at the 0.05 level of significance, that there is a difference.
Step-by-step explanation:
Before solving this question, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes 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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
To US and Canada:
37 overweight out of 256. So
[tex]p_1 = \frac{37}{256} = 0.1445, s_1 = \sqrt{\frac{0.1445*0.8555}{256}} = 0.022[/tex]
Europe:
41 overweight out of 246. So
[tex]p_2 = \frac{41}{246} = 0.1667, s_2 = \sqrt{\frac{0.1667*0.8333}{246}} = 0.0238[/tex]
Test if there is a difference between the proportion of all items on English Air flights to the U.S. and Canada which are overweight (p1) and the proportion of all items on English Air flights within Europe which are overweight (p2):
At the null hypothesis, we test if there is no difference, that is, if the subtraction of the proportions is 0.
[tex]H_0: p_1 - p_2 = 0[/tex]
At the alternate hypothesis, we test if there is difference, that is, if the subtraction of the null hypothesis is different of 0.
[tex]H_1: p_1 - p_2 \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the two samples:
[tex]X = p_1 - p_2 = 0.1445 - 0.1667 = -0.0222[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.022^2 + 0.0238^2} = 0.0324[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.0222 - 0}{0.0324}[/tex]
[tex]z = -0.68[/tex]
P-value of the test:
The p-value of the test is the probability of the sample proportion differing from 0 by at least 0.0222, which is P(|z| > 0.68), which is 2 multiplied by the p-value of z = -0.68.
Looking at the z-table, z = -0.68 has a p-value of 0.2483
0.2483*2 = 0.4966
The p-value of the test is 0.4966 > 0.05, which means that we cannot conclude, at the 0.05 level of significance, that there is a difference.
Anders throws a 10-faced dice with numbers from 1 to 10. Then he spins a coin.
b) Find the probability of scoring: i) a head and a multiple of 3 ii) a tail and a prime number
Answers
Answer:
3/20
1/5
Step-by-step explanation:
Sample space :
10 - faced die :
(1, 2, 3, 4,5, 6, 7,8, 9, 10)
Coin = (H, T)
P(H) = 1/2
Multiple of 3 = 3, 6, 9 = 3
P(Multiple of 3) = 3 / 10
P(H and multiple of 3) = 1/2 * 3/10 = 3 /20
2.)
P(tail) = 1/2
Prime numbers = (2, 3, 5, 7) = 4
P(A prime number) = 4 / 10
P(tail and prime number) = 1/2 * 4 /10 = 4 /20 = 1/5
What makes a rectangle special?
Answers
Answer:
D
hope this helps
have a good day :)
Step-by-step explanation:
m-0.63>9.7 (need answer this is a test) i will give u brainliest if u answer right
Answers
m > 10.33 hope this helps
Joey's sock drawer is unorganized and contains 7 black dress socks, 3 black ankle socks, 2 brown dress socks, and 4 brown ankle socks. What is the
probability that Joey will blindly reach into his sock drawer and pull out a sock that is brown or a dress sock
Answers
Answer:
%37.5
Step-by-step explanation:
PLZ HELP!!!!!!!!!!!!!!!!
Answers
Answer:
B) 119.1
Step-by-step explanation:
First, find your circle area
[tex]A=\pi r^{2} \\A=\pi 7^{2} \\A=153.9[/tex]
Then get the area of the square, we will worry about the tringles on each side in the last step.
l=12
w= 14 (Radius of circle times 2)
A=wl
A=14*12
A=168
Now the triangle
h=14 (Radius of circle times 2)
b=(27 - 12) / 2 = 7.5 ( total length 27 minus 12 divided, by 2 since there's 2 triangles on each side.
[tex]A=h\frac{b}{2} \\A=14\frac{7.5}{2} \\A=52.5[/tex]
Now add 2 triangles, the square and substract the circle
52.5+52.5+168 = 273
273 - 153.9 = 119.1 in^2
18 packs of socks fit into a box.
There are 7 boxes.
How many packs of socks are there in total?
Answers
Answer:
no. of packs in one box = 18
no. of boxes = 7
total no. of packs of socks = 18*7
=126
Answer:
126 packs
Step-by-step explanation:
1 box = 18 packs
7 boxes = ? packs
7 * 18 = 126 packs
HELP YO GIRL OT PLZZZZ!!!!!!!!
FIRST ONE TO AWNSER AND CORRECT GETS BRAINLYIST AND ALOT OF POINTS!!!!!!!!!!!!!!
A. 16 in.3
B. 22 and one-half in.3
C. 200 in.3
D. 212 and one-half in.3
Answers
Answer:
C
Step-by-step explanation:
This is the answer because you have to use the formula of volume
which is L x W x H then you get your answer
how can we get equation b from equation a ?
Answers
Answer:
Choose 1 answer: Multiply/divide both sides by the same non-zero constant. Multiply/divide both sides by the same variable expression.
Step-by-step explanation:
Answer:
Multiply/divide both sides by the same non-zero constant
hope this helps
have a good day :)
Step-by-step explanation:
x/2 = 3 1/3 can you give me A step by step explanation
Answers
So first thing we are going to turn the mixed fraction into an improper fraction because it’s easier to work with.
x/2 = 10/3
No we are going to make x the subject. To do this we are going to transpose by just multiplying each side by 2 (it’s basically doing the opposite of what is happening on the x side).
x/2 * 2 = 10/3 * 2
The 2 * 2 on the x side is cancelled out.
x = 10/3 * 2
Now we multiply to find x.
x = 10/3 * 2
x = 20/3
Now turn it back to a mixed fraction.
x = 6 2/3
Feel free to ask questions where your not sure about.
will give brainliest
Answers
Answer:
respuesta 0.2
Step-by-step explanation:
espero que te sirvan ( ꈍᴗꈍ)
Which theorem can be used to show that AJKL - AMNP?
Answers
Answer:
C. ASA Similarity
Step-by-step explanation:
Using the Angle-Side-Angle Similarity Theorem is the only thing we can do because looking above we see that we know two angles and one side. Hence, this can be the only theorem that is fit for these two triangles.
Help pretty please !Describe the sequence of transformations that maps Figure A to Figure B.
Answers
Answer:
A, Reflection across the y-axis and translation 3 units down
Answer:
A reflection across the y-axis and translation 3 units down
Step-by-step explanation:
[tex]2 {a}^{2} - 3ab + {b}^{2} from3 {a}^{2} + 2ab - {b}^{2} [/tex]
Answers
Answer:
a (a - b)
Step-by-step explanation:
[tex]2a^{2}-3ab+b^{2} from 3a^{2} + 2ab - b^{2}[/tex]
Now, as [tex]2a^{2}-3ab+b^{2}[/tex] is from [tex]3a^{2} + 2ab - b^{2}[/tex]
so it will be subtracted :
[tex]3a^{2} + 2ab - b^{2}[/tex] [tex]-2a^{2}-3ab+b^{2}[/tex]
= [tex]a^{2} - ab[/tex]
= a (a - b)
hey can i get help here? im just a middle schooler and my school just jumped into this with no explanation. so far highschoolers helped me understand it more than any teacher could. so in those terms, thank you so much!
Answers
Answer:
the closest answer is the last option, so I would say that is the correct one.
Step-by-step explanation:
4.5 x 4.5 x π =
20.25 x π =
63.6172....
Plz help me this is urgent!!
What is the area of the triangle below?
O 27 square units
O 45 square units
O 54 square units
O 90 square units
Answers
Your answer should be 27 square units
Answer: 54
Step-by-step explanation:
Which of the following expressions has the greatest value?
Answers
Answer:
2^5
Step-by-step explanation:
1^10 = 1 (1*1*1*1*1....)
5^2 = 25 (5*5)
2^5 = 32 (2*2*2*2*2)
3^3 = 27 (3*3*3)
HELP ASAP !!!!!!!!!!!!!!
Answers
Answer:
x = sqrt(17)
Step-by-step explanation:
Angle B is 90 degrees; the line BC is a radius of circle C and line AB is a tangent line of BC. Since they must be perpendicular, angle B is 90 degrees.
Now use the pythagorean theorem to solve for x.
c=9, a = 8, b= x
a^2+b^2=c^2
8^2+x^2=9^2
x=sqrt(81-64)
x=sqrt(17)
The five number summary of a dataset was found to be:
1, 5, 11, 17, 20
An observation is considered an outlier if it is below:
An observation is considered an outlier if it is above:
Answers
Answer:
Below - 13
Above 35
Step-by-step explanation:
Given the 5 number summary :
1, 5, 11, 17, 20
Minimum = 1
Q1 = 5
Q2 = 11
Q3 = 17
Maximum = 20
Lower Outlier = Q1 - 1.5*IQR
Upper Outlier = Q3 + 1.5*IQR
IQR = Q3 - Q1 = 17 - 5 = 12
LOWER = 5 - (1.5 * 12) = 5 - 18 = - 13
UPPER = 17 + (1.5 * 12) = 17 + 18= 35
40 POINTS!!!!! Find the value of x in the triangle shown below.
Answers
Answer:
a
Step-by-step explanation:
hich of the following can be used to find how many milliliters are in 0.43 L?
Answers
Answer:
430ml
Step-by-step explanation:
there are 1000ml in 1L so take 0.43 times with 1000 to find the answer
Which answers describe the shape below?
Answers
Answer:
That would be E. trapezoid
Step-by-step explanation:
Answer:
E is the answer thank me later
Find the simplified product
Answers
9514 1404 393
Answer:
(b) -30x²√(2x)
Step-by-step explanation:
Squares can be removed from under the radical.
Answer:
The answer is b on edg
Step-by-step explanation:
Just took the assignment
) If the pattern shown continues, how many black keys appear on a portable keyboard with 49 white keys? Suggestion: use equivalent ratios or a rate table to confirm your answer.
Answers
Answer:
35
Step-by-step explanation:
Here we see 5 black keys for every 7 white keys.
So the ratio is 5:7
If we need 49 white keys, find the amount we scale the original ratio by:
49/7 = 7
So we are scaling by a factor of 7.
The number of black keys would be 5 * the scale of 7. = 35
So there should be 35 black keys.
Using proportions, it is found that 35 black keys appear on a portable keyboard with 49 white keys.
This question is solved by proportions, applying a rule of three.The equivalent ratio given, from the picture, is that for 7 white keys, there are 5 black keys. Hence, how many black keys will be there when there are 49 white keys?The rule of three is:
7 white keys - 5 black keys
49 white keys - x black keys
Applying cross multiplication:
[tex]7x = 49 \times 5[/tex]
Simplifying both sides by 7:
[tex]x = 7 \times 5 = 35[/tex]
Hence, 35 black keys will appear.
A similar problem, also involving proportions, is given at https://brainly.com/question/24372153
HELPPP ILLL MARK BRAINLIEST
Which ordered pair represents a solution to both equations?
A (2, 0)
B (-3, -15)
C (0, -21)
D (3, 3)
See picture for Graph
Answers
please help I don't know how to do
Answers
Answer:
9y+7=2y+98
5y=91
y=91\5
The population of a city decreases by 3.1% per year. If this year's population is 142,000, what will next year's population be, to the nearest individual?
Answers
Answer:
100 - 3.1 = 96.9
142000 - 96.9 = 1410903.1
ORDENAR DE MAYOR A MENOR
a) -1, 3, 0, 2, -4 : b) 1, -10, 7, -9, -2 : c) 6, -3, 2, -1, -12 : d) 0, 8, -4, 2, -2
porfa
Answers
Answer:
a) 3, 2, 0, -1
b) 7, 1, -9, -10
c) 6, 2, -1, -3, -12
d) 8, 2, 0, -2, -4
What is the third quartile, Q3, of the following distribution? 10,25,18,31,16,27,5,13,32,24,15,21,18,18,24,4,8,11,11,23
Answers
4x + 3y =18
x-3y = 7
Answers
That would be the answer in this situation
Answer:
x=8,y=-2/3
Step-by-step explanation:
make x the subject of formula
x=7+3y
substitute into the first equation
4(7+3y)+3y=18
28+12y+3y=18
28+15y=18
15y=18-28
15y=-10
y=-10/15=-2/3
since y=-2/3, substitute y into x=7+3y
x=7+3(-2/3)
x=7-2
x=5