Answers:
L = 64
W= 62
Explanation:
6) Supplementary Exercise 5.51
A consumer advocate claims that 80 percent of cable television subscribers are not satisfied with their cable service. In an attempt to justify this claim, a randomly selected sample of cable subscribers will be polled on this issue.
(a)
Suppose that the advocate's claim is true, and suppose that a random sample of five cable subscribers is selected. Assuming independence, use an appropriate formula to compute the probability that four or more subscribers in the sample are not satisfied with their service. (Do not round intermediate calculations. Round final answer of p to 1 decimal place. Round other final answers to 4 decimal places.)
The answer for 6(a) is P( Xâ¥4) = P ( x = 4) + P (x = 5) = 5/4 * 0.84 * 0.21 + 5/5 * 0.85 * 0.20 = 0.737
(b)
Suppose that the advocate's claim is true, and suppose that a random sample of 25 cable subscribers is selected. Assuming independence, find each of the following: (Do not round intermediate calculations. Round final answer of p to 1 decimal place. Round other final answers to 4 decimal places.)
1.
The probability that 15 or fewer subscribers in the sample are not satisfied with their service.
The answer for 6(b)1 is P(Yâ¤15) = 1 - P( Y > 20) - X20, i = 16 P ( Y = i) = 1- 0.421 - 0.562 = 0.017
2.
The probability that more than 20 subscribers in the sample are not satisfied with their service.
The answer for 6(b)2 is
3.
The probability that between 20 and 24 (inclusive) subscribers in the sample are not satisfied with their service.
The answer for 6(b)3 is P(20 > Y < 24) = 1 - 0.421 - 0.1867 - 0.1358 - 0.0708 - 0.0236 = 0.1621
4.
The probability that exactly 24 subscribers in the sample are not satisfied with their service.
The answer for 6(b)4 is P( Y = 24) = 0.0236
(c)
Suppose that when we survey 25 randomly selected cable television subscribers, we find that 15 are actually not satisfied with their service. Using a probability you found in this exercise as the basis for your answer, do you believe the consumer advocate's claim? Explain. (Round your answer to 4 decimal places.)
Answer:
[tex]P(X \le 4) = 0.7373[/tex]
[tex]P(x \le 15) = 0.0173[/tex]
[tex]P(x > 20) = 0.4207[/tex]
[tex]P(20\ge x \le 24)= 0.6129[/tex]
[tex]P(x = 24) = 0.0236[/tex]
[tex]P(x = 15) = 1.18\%[/tex]
Step-by-step explanation:
Given
[tex]p = 80\% = 0.8[/tex]
The question illustrates binomial distribution and will be solved using:
[tex]P(X = x) = ^nC_xp^x(1 - p)^{n-x}[/tex]
Solving (a):
Given
[tex]n =5[/tex]
Required
[tex]P(X\ge 4)[/tex]
This is calculated using
[tex]P(X \le 4) = P(x = 4) +P(x=5)[/tex]
This gives:
[tex]P(X \le 4) = ^5C_4 * (0.8)^4*(1 - 0.8)^{5-4} + ^5C_5*0.8^5*(1 - 0.8)^{5-5}[/tex]
[tex]P(X \le 4) = 5 * (0.8)^4*(0.2)^1 + 1*0.8^5*(0.2)^0[/tex]
[tex]P(X \le 4) = 0.4096 + 0.32768[/tex]
[tex]P(X \le 4) = 0.73728[/tex]
[tex]P(X \le 4) = 0.7373[/tex] --- approximated
Solving (b):
Given
[tex]n =25[/tex]
i)
Required
[tex]P(X\le 15)[/tex]
This is calculated as:
[tex]P(X\le 15) = 1 - P(x>15)[/tex] --- Complement rule
[tex]P(x>15) = P(x=16) + P(x=17) + P(x =18) + P(x = 19) + P(x = 20) + P(x = 21) + P(x = 22) + P(x = 23) + P(x = 24) + P(x = 25)[/tex]
[tex]P(x > 15) = {25}^C_{16} * p^{16}*(1-p)^{25-16} +{25}^C_{17} * p^{17}*(1-p)^{25-17} +{25}^C_{18} * p^{18}*(1-p)^{25-18} +{25}^C_{19} * p^{19}*(1-p)^{25-19} +{25}^C_{20} * p^{20}*(1-p)^{25-20} +{25}^C_{21} * p^{21}*(1-p)^{25-21} +{25}^C_{22} * p^{22}*(1-p)^{25-22} +{25}^C_{23} * p^{23}*(1-p)^{25-23} +{25}^C_{24} * p^{24}*(1-p)^{25-24} +{25}^C_{25} * p^{25}*(1-p)^{25-25}[/tex]
[tex]P(x > 15) = 2042975 * 0.8^{16}*0.2^9 +1081575* 0.8^{17}*0.2^8 +480700 * 0.8^{18}*0.2^7 +177100 * 0.8^{19}*0.2^6 +53130 * 0.8^{20}*0.2^5 +12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1 +1 * 0.8^{25}*0.2^0[/tex]
[tex]P(x > 15) = 0.98266813045[/tex]
So:
[tex]P(X\le 15) = 1 - P(x>15)[/tex]
[tex]P(x \le 15) = 1 - 0.98266813045[/tex]
[tex]P(x \le 15) = 0.01733186955[/tex]
[tex]P(x \le 15) = 0.0173[/tex]
ii)
[tex]P(x>20)[/tex]
This is calculated as:
[tex]P(x>20) = P(x = 21) + P(x = 22) + P(x = 23) + P(x = 24) + P(x = 25)[/tex]
[tex]P(x > 20) = 12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1 +1 * 0.8^{25}*0.2^0[/tex]
[tex]P(x > 20) = 0.42067430925[/tex]
[tex]P(x > 20) = 0.4207[/tex]
iii)
[tex]P(20\ge x \le 24)[/tex]
This is calculated as:
[tex]P(20\ge x \le 24) = P(x = 20) + P(x = 21) + P(x = 22) + P(x =23) + P(x = 24)[/tex]
[tex]P(20\ge x \le 24)= 53130 * 0.8^{20}*0.2^5 +12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1[/tex]
[tex]P(20\ge x \le 24)= 0.61291151859[/tex]
[tex]P(20\ge x \le 24)= 0.6129[/tex]
iv)
[tex]P(x = 24)[/tex]
This is calculated as:
[tex]P(x = 24) = 25* 0.8^{24}*0.2^1[/tex]
[tex]P(x = 24) = 0.0236[/tex]
Solving (c):
[tex]P(x = 15)[/tex]
This is calculated as:
[tex]P(x = 15) = {25}^C_{15} * 0.8^{15} * 0.2^{10}[/tex]
[tex]P(x = 15) = 3268760 * 0.8^{15} * 0.2^{10}[/tex]
[tex]P(x = 15) = 0.01177694905[/tex]
[tex]P(x = 15) = 0.0118[/tex]
Express as percentage
[tex]P(x = 15) = 1.18\%[/tex]
The calculated probability (1.18%) is way less than the advocate's claim.
Hence, we do not believe the claim.
What is the lateral surface area of this net
Help!!!
9514 1404 393
Answer:
720 square feet
Step-by-step explanation:
The lateral area is the area of the central rectangle of the net. It is 12+12+12 = 36 feet long and 20 ft wide.
The lateral area is (36 ft)(20 ft) = 720 ft².
I will mark you brainalist
Answer:
the answer is X=-7
,,,,,
Answer:
it would be x=7
Step-by-step explanation:
brainliest pls
3 |a| +5 |b| if a = −2; b = −1
WILL AWARD BRAINLIEST
Answer:
-11
Step-by-step explanation:
[tex]3( - 2) + 5( - 1)[/tex]
[tex] - 6 + ( - 5)[/tex]
[tex] - 11[/tex]
Calculate the SQRT485 Express answer to nearest hundredth.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 22.02
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Cart 1 (500 g) moves to the right at 0.40 m/s. Cart 2 (250g) moves to the left at 0.50 m/s. a. If the carts stick after the collision, what will be their velocity?
Answer:
after the collision cart 1 will stop and cart 2 will keep moving will 0.1.m/s after stop.
SOMEONE HELP ME PLEASE!!!!?
Answer:
139
Step-by-step explanation:
supplementary angles add up to equal 180
so to find the measure of angle ABC we subtract the given angle from 180
180-41=139
so we can conclude that angle ABC= 139
Step-by-step explanation:
< ABC and < CBD are supplementary angles.
< CBD = 41°
< ABC + < CBD = 180° ( Being supplementary angles)
< ABC + 41° = 180°
< ABC = 180° - 41°
< ABC = 139°
Hope it will help :)❤
WILL MARK B!
Please I need help I have a quiz
Answer:
a) 2x² - x + 3 = x(2x + 1) - 2x
<=> 2x² - x + 3 = 2x² + x - 2x
<=> 3 - x = - x
<=> 3 = 0
=> no solution
b) x/2 - x/3 - x/4 = 1/12
[tex] \frac{6x}{12} - \frac{4x}{12} - \frac{3x}{12} = \frac{1}{12} \\ \\ \frac{ - x}{12} = \frac{1}{12} \\ \\ = > - x = 1 \\ \\ \\ < = > x = 1[/tex]
=> the euqation has the solution x = 1
c) |x - 5| = 2|x|
=> x - 5 = 2x
or x - 5 = -2x
<=> x = -5
or 3x = 5
<=> x = -5
x = -5or x = 5/3
d) defined conditions: 2 - x 》 0
<=> x 《 2
we have:
[tex] \sqrt{x + 4} = 2 - x \\ < = > x + 4 = (2 - x) {}^{2} \\ < = > x + 4 = {x}^{2} - 4x + 4 \\ < = > {x}^{2} - 5x = 0 \\ < = > x(x - 5) = 0 \\ [/tex]
<=> x = 0 (because x 《 2)
e)
[tex] \sqrt{5} = \frac{1}{25 {}^{x} } \\ = > 5 = \frac{1}{25 {}^{2x} } \\ < = > 5.25 {}^{2x} = 1 \\ < = > 5.5 {}^{4x} = 1 \\ < = > 5 {}^{4x + 1} = 1 \\ = > 4x + 1 = 0[/tex]
<=> x = -1/4
Answer:
[tex]a) [x: - \infty < x < \infty ][/tex]
[tex]b)[x: - 1][/tex]
[tex]c) [x:- \frac{5}{3} ][/tex]
[tex]d) [x: 3, 0][/tex]
[tex]e) [x: - \frac{1}{4} ][/tex]
If John gets paid $45.00 an hour and works 10 hours, how much does he earn?
HELP ME PLS ITS URGENT .. !❗❗❗❗❗❗❗❗❗❗❗❗❗
The commuting distances, in miles, of 10 employees were used to make the box plot shown above. Which of the sets of distances below matches the given box plot?
A.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 30, 45, 45
B.
Commuting Distances: 10, 15, 15, 20, 20, 30, 30, 30, 45, 45
C.
Commuting Distances: 10, 15, 20, 20, 20, 20, 30, 30, 45, 45
D.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 45, 45, 45
Answer:
A the answer is A ^w^ hope this helps
Three of 25 students in an art class are left-handed. in another words, 12% of the students in the class are left handed what does number 3 represent
Answer:
The number of students that are left handed
Step-by-step explanation:
Answer:
it represent 3 students
5th grade math. correct answer will be marked brainliest
Answer:
8 1/12 boxes
Step-by-step explanation:
Your first step to solve this problem is to convert those fractions to a common denominator. I would choose 12. So your first would be 4 4/12 and your second would be 3 9/12. You would then add those up and get 8 1/12 boxes of muffins bought at the bake sale.
A number greater than or equal to 41.
Answer:
42
Step-by-step explanation:
¯\_(ツ)_/¯
find the area of the figure use 3.14
Answer:
466.08 m²
Step-by-step explanation:
The figure is composed of a triangle and a semicircle.
Therefore,
Area of the figure = area of the triangle + area of the semicircle
= ½*b*h + ½*πr²
Where,
b = 24 m
h = 20 m
π = 3.14
r = ½ of 24 m = 12 m
Substitute each value into the equation
Area of the figure = ½*24*20 + ½*3.14*12²
= 240 + 226.08
= 466.08 m²
need help figuring this out
Answer:
think it is d
Step-by-step explanation:
The average of Aaron's three test scores must be at least 93 to earn an A in the class. Aaron scored 89 on the first
test and 94 on the second test. What scores can Aaron get on his third test to guarantee an A in the class? (The
highest possible score is 100.)
15
Write an inequality that models this situation. Use the variable s to represent his score on his third test.
Answer:
Aaron must obtain a 96 or higher to achieve the desired score to earn an A in the class.
Step-by-step explanation:
Given that the average of Aaron's three test scores must be at least 93 to earn an A in the class, and Aaron scored 89 on the first test and 94 on the second test, to determine what scores can Aaron get on his third test to guarantee an A in the class, knowing that the highest possible score is 100, the following inequality must be written:
93 x 3 = 279
89 + 94 + S = 279
S = 279 - 89 - 94
S = 96
Thus, at a minimum, Aaron must obtain a 96 to achieve the desired score to earn an A in the class.
Aaron must score atleast 90 marks in third test.
Aaron scores in the first test = 89
Aaron scores in the second test = 94
And the average of Aaron's three test scores must be at least 93 to earn an A.
Let Aaron scores in the third test = s
Then,
Average = sum of terms divided by the number of terms.
[tex]\frac{89+94+s}{3} \leq 93\\89+94+s\leq 93\times3\\183+s\leq 279\\s\leq 279-189\\s\leq 90[/tex]
So, Aaron must score atleast 90 marks in third test.
Learn more:https://brainly.com/question/19982277
Write each product using an exponent. 9 x 9 x 9 x 9 x9
(Will be giving brainliest)
Answer: 9^ 5
Step-by-step explanation: since there is 5 9’s multiplied by each other, it would be 9 to the 5th power.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathtt{9\times9\times9\times9\times9}\\\mathtt{= 81\times 81\times9}\\\mathtt{= 6,561\times9}\\\mathtt{= 59,049}\\\mathtt{= 9\times 9\times 9 \times 9 \times 9 \rightarrow 9^5}[/tex]
[tex]\huge\text{Therefore your answer should be:}[/tex]
[tex]\huge\boxed{\mathtt{9^5}}\huge\checkmark[/tex]
[tex]\huge\boxed{\mathtt{Good \ luck \ on \ your \ assignment\ \& \ enjoy}}\\\huge\boxed{\mathtt{your \ day!}}[/tex]
How do you find the x-intercept of a parabola?
What is the slope of the line below?
(1-2)
(
4-2)
A. negative
B. undefined
C. positive
D. Zero
Answer: D. Zero
Step-by-step explanation:
It’s a flat line. Flat horizontal lines are ALWAYS zero
which expression is equivalent to x-5/3? 1/5√3^3 1/3√x^5 -3√x^5 -5√x^3
Answer:
What grade is this 12th?
Step-by-step explanation:
The equivalent expression for the expression given; (( 5/7 )² × (1/3)-³)-¹ is; (7/5)² • (1/3)³.
What is the equivalent expression for the given expression?It follows from the task content that the expression which is equivalent to that which is given is to be determined.
here, we have,
Hence, since the given expression is; (( 5/7 )² × (1/3)-³)-¹;
It follows from the power of powers law of indices that we have;
( 5/7 )-² • (1/3)³
Also, according to the negative exponent law of indices; we have;
(7/5)² • (1/3)³.
On this note, the required equivalent expression is; (7/5)² • (1/3)³.
Read more on equivalent expressions;
brainly.com/question/24734894
#SPJ7
For the following right triangle, find the side length x.
15
Step-by-step explanation:
Pythagorean Theorem
a^2+b^2=c^2
8^2+15^2=c^2
64+225=c^2
289=c^2
Now square both sides
x=17
Answer:
x = 17
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]c^{2} = 8^{2} + 15^{2}[/tex]
[tex]c^{2} = 64 + 225[/tex]
[tex]c^{2} = 289[/tex]
[tex]\sqrt{c^2} = \sqrt{289}[/tex]
[tex]c = 17[/tex]
Round 7.54 please I need help
Need someone to help me with my maths tutorial ASP!!
Answer:
hi! how can i help? <3
Step-by-step explanation:
okay i can stand in for you
Ms. Annand baked an apple pie. The boys in the house ate ⅛ of it and the girls ate 3/5. What fraction of the pie did the boys and girls eat altogether? Please answer
Answer:
29/40
Step-by-step explanation:
1/8 + 3/5 =
We need a common denominator.
8 = 2^3
5 = 5
8 and 5 have no common factors, so the LCD is their product.
LCD = 5 * 8 = 40
1/8 + 3/5 =
= 5/40 + 24/40
= 29/40
Help..................
Asha is tiling the lobby of the school with one-foot square tiles. She has 6 bags
of tiles with 50 tiles in each. The lobby is a 30-foot by 8-foot rectangle. How
many tiles will Asha have left over after she tiles the lobby?
Answer:
60 tiles left over
Step-by-step explanation:
the lobby needs 30 x 8 = 240 tiles.
she has 6 x 50 = 300 tiles
300 - 240 = 60 left over
8. Determine the area of a sector
with a central angle of 42° in a
circle with radius 3 inches.
NEED IT ASAP
Answer:
[tex]\boxed {\boxed {\sf A \approx 3.3 \ in^2}}[/tex]
Step-by-step explanation:
Since we are given the central angle in degrees, we should use the following formula for sector area.
[tex]A= \frac {\theta}{360}* \pi r^2[/tex]
The angle is 42 degrees and the radius is 3 inches. Therefore,
[tex]\theta= 42 \\r=3 \ in[/tex]
[tex]A=\frac {42}{360} * \pi (3 \ in)^2[/tex]
Solve the exponent.
(3 in)²= 3 in*3in = 9 in²[tex]A=\frac {42}{360} * \pi (9 \ in^2)[/tex]
Multiply all three numbers together.
[tex]A= 0.116666666667* 3.14159265359 * 9 \ in^2[/tex]
[tex]A=3.29867228627 \ in^2[/tex]
Let's round to the tenth place. The 9 in the hundredth place tells us to round the 2 up to a 3.
[tex]A \approx 3.3 \ in^2[/tex]
The area of the sector is approximately 3.3 square inches.
Broccoli cost 1.50 at a store. How much does 32 ounces of broccoli cost?
Answer:
48.00
Step-by-step explanation:
Answer:
48.0 hope it helps you out
I'll give points and brainalist for answer / explanation
Answer:
D. 8
Step-by-step explanation:
C= 2πr
π= 3.14
C= 25.12
25.12 = 2 * 3.14 * r
r= 4
d= 2r
d= 8
Need Help (WILL GIVE BRAINLIEST)
Answer:
A
Step-by-step explanation:
(y-5) / (7-5) = (x-1) / (2-1)
(y-5) / 2 = x-1
y-5 = 2x -2
y = 2x +3