Answer:
The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors
P(X⁻ ≥ 96.3) = 0.0087
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 95
Given that the standard deviation of the Population = 5
Let 'X' be the random variable in a normal distribution
Let X⁻ = 96.3
Given that the size 'n' = 84 monitors
Step(ii):-
The Empirical rule
[tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{96.3 - 95}{\frac{5}{\sqrt{84} } }[/tex]
Z = 2.383
The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors
P(X⁻ ≥ 96.3) = P(Z≥2.383)
= 1- P( Z<2.383)
= 1-( 0.5 -+A(2.38))
= 0.5 - A(2.38)
= 0.5 -0.4913
= 0.0087
Final answer:-
The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors
P(X⁻ ≥ 96.3) = 0.0087
. Select all the properties of a rectangle.
A. Has right angles
B. Has at least one obtuse angle
C. Has parallel lines
D. Has perpendicular lines
E. Has at least one acute angle
Answer:
A, C, D
Step-by-step explanation:
Find the following limit. Limit of StartFraction StartRoot x + 2 EndRoot minus 3 Over x minus 7 EndFraction as x approaches 7 Which statements describe finding the limit shown? Check all that apply. Multiply by StartFraction StartRoot x + 2 EndRoot + 3 Over StartRoot x + 2 EndRoot + 3 EndFraction. Get x – 1 in the numerator. Get (x -7)(StartRoot x + 2 EndRoot minus 3) in the denominator. Divide out a common factor of x – 7. Calculate the limit as StartFraction 1 Over 6 EndFraction.
ANSWERS: A,D,E
Answer:
a,d,e
Step-by-step explanation:
In this question, we apply limit concepts to get the desired limit, finding that the correct options are: A, D and E, leading to the result of the limit being [tex]\frac{1}{6}[/tex].
Limit:
The limit given is:
[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7}[/tex]
If we apply the usual thing, of just replacing x by 7, the denominator will be 0, so this is not possible.
When we have a term with roots, we rationalize it, multiplying both the denominator and the denominator by the conjugate.
Multiplication by the conjugate:
The term with the root is:
[tex]\sqrt{x+2} - 3[/tex]
It's conjugate is:
[tex]\sqrt{x+2}+3[/tex]
Multiplying numerator and denominator by the conjugate, meaning option A is correct:
[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7} \times \frac{\sqrt{x+2}+3}{\sqrt{x+2}+3}[/tex]
We do this because at the numerator we can apply:
[tex](a+b)(a-b) = a^2 - b^2[/tex]
Thus
[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7} \times \frac{\sqrt{x+2}+3}{\sqrt{x+2}+3} = \lim_{x \rightarrow 7} \frac{(\sqrt{x+2})^2 - 3^2}{(x-7)(\sqrt{x+2}+3)} = \lim_{x \rightarrow 7}\frac{x+2-9}{(x-7)(\sqrt{x+2}+3)} = \lim_{x \rightarrow 7}\frac{x-7}{(x-7)(\sqrt{x+2}+3)}[/tex]
Thus, we can simplify the factors of x - 7, meaning that option D is correct, and we get:
[tex]\lim_{x \rightarrow 7} \frac{1}{\sqrt{x+2}+3}[/tex]
Now, we just calculate the limit:
[tex]\lim_{x \rightarrow 7} \frac{1}{\sqrt{x+2}+3} = \frac{1}{\sqrt{7+2}+3} = \frac{1}{3+3} = \frac{1}{6}[/tex]
Thus, option E is also correct.
Using a limit calculator, as given by the image below, we have that 1/6 is the correct answer.
For more on limits, you can check https://brainly.com/question/12207599
PLEASE PLEASE HELP ME THIS IS DUE VERY SOON I NEED YOUR HELP!
Answer:
1. (3,-2)
2. (-1, -3)
3. (-4, 5)
4. (2, 5)
Step-by-step explanation:
solve and check please help
Answer:
7) 24 8) 75 9) .9
Step-by-step explanation:
You multiply the denominatior with the whole number.
Answer:
x = 24 b = 75 s = 0.9
Step-by-step explanation:
7. Multiply both sides by 2 and you get x = 24
8. Multiply both sides by 5 and you get b = 75
9. Multiply both sides by 0.3 and you get s = 0.9
Benson owns four dogs. When he walks to his neighborhood pet store to get pet supplies, he randomly chooses one of his dogs to take with him. Describe a simulation you could use to help Benson with his selection.
Answer:
Benson could use a deck of cards.
Diamonds for the first dog.
Clubs for the second dog.
Hearts for the third dog.
Spades for the fourth dog.
Help! I dont know units well..
What type of angles are A and B?
Answer:
supplementary angles
Step-by-step explanation:
Answer:
supplementary
they are also adjacent
they also form a 'straight angle'
they can also be termed as a 'linear pair'
Step-by-step explanation:
Two interior angles of a
trapezoid measure 100
degrees and 80 degrees
respectively. If the other two
angles are congruent, what is
the measures of the two
angles?
Answer:
100 and 80
Step-by-step explanation:
Congruent means the same, so the other 2 angles are the same as 80 and 100
Which choice is equivalent to the fraction below?
7/12
A. divided 12
B. 7•12
C. 7-12
D. 12 divided 7
Answer:
b
Step-by-step explanation:
:)
What is the solution to this equation? 9^x– 1 = 2 Α. 1/2 B. 1 C. 2 D. -1/2
Answer:
for 9^(x)-1=2 the answer is 1/2 or .5
The solution to this equation 9ˣ - 1 = 2 is 1/2.
The correct option is A.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
An equation:
9ˣ - 1 = 2
Simplifying,
9ˣ = 3
3²ˣ = 3
Comparing, we get,
2x = 1
x = 1/2
Therefore, the solution is x = 1/2.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ2
This is for math look at the photo
Answer:
Finding the Volume of a rectangular prism is to find there
C) 135
Step-by-step explanation:
L x W = A x H = V
9 x 5 = 45 x 3 = 135
Answer:
None
Step-by-step explanation:
V=1/3×a×b×h
=1/3×9×3×5
=45
Camp counselors kept track of the number of granola bars they served each day.
What is the median of the data set?
Answer:
the median is 43
Step-by-step explanation:
Please answer the question in the picture Thxx
Answer:
A) 3, 4, and 5
D) 9, 12, and 15
Step-by-step explanation:
A) 3, 4, and 5
D) 9, 12, and 15
If you square and add the first two, you get the third one squared. That doesn’t work for B and C.
The volume of the polyhedron rounded to the nearest tenth is ______ cm3.
Answer:
62.9
Step-by-step explanation:
volume of a cylinder = nr^2h
22/7 x 5 x 2^2 = 62.90 cm^3
plz give me ans fast.
Answer:
Shopping malls are replacing small shops
Answer each question below 26. A pair of shoes that normally costs $85 is now on sale for 45% off. What is the sale price of the shoes?
27. After Christmas, I was able to buy lights for 60% off. How much did I pay for lights that normally cost $12?
28. This past weekend, I went to Bed, Bath & Beyond to purchase a new frying pan. I was able to use a 20% off
coupon on one item. The frying pan was originally $40. What is the sale price of the frying pan?
29. When eating at a restaurant, it is recommended that you leave a 15% tip. If my bill was $24, how much
should I leave as a tip?
Answer:
26. $46.75
27. $4.80
28. $32.00
29. $3.60
6 times Audrey’s age plus 2 is Parag’s age. Parag is 44.
What is Audrey’s age?
IM GIVING 20 POINTS AND BRAINLY TO WHO GETS IT RIGHT THIS IS DUE REALLY SOON AND I NEED HELP PLSSSS
Answer:
5/6
Step-by-step explanation:
Answer:
The answer is 5/6
Step-by-step explanation:
4 5 20 2
- x - = - = -
5 6 30 3
What is the clrcumference of a circle with a diameter of 9 Inches?
28 2/7 in
24 4/7 in
30 in
27 in
PLZ HELP THIS IS DUE TODAY AND NO LINKS PLZ.
Answer:
D is the best answer to the question
3 units
5 units
9 units
5 points
Find the distance between the points (-9, -1) and (-2,-6).
Answer:
Distance between points = 8.6
Step-by-step explanation:
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(−2−−9)2+(−6−−1)2(-2--9)2+(-6--1)2
= √72+(−5)272+(-5)2
= √49+2549+25
= √7474 = 8.6023
Distance between points (-9, -1) and (-2, -6) is 8.6023
help me dont put links while answering question
Answer:
It's A, 3.82
Step-by-step explanation:
the decimal table goes up to left
A 99 ft length of wire is to be cut into 2 pieces, so that the longer piece is eight feet longer than six times the shorter piece. Fond the length of each piece.
9514 1404 393
Answer:
13 ft86 ftStep-by-step explanation:
Let s represent the length of the short piece. Then the long piece is 6s+8, and the total length is ...
s +(6s+8) = 99
7s = 91 . . . . . . . . subtract 8, collect terms
s = 13 . . . . . . . . . divide by 7
99 -13 = 86 = 6(13)+8 . . . length of long piece
The short piece is 13 feet long; the long piece is 86 feet long.
A positive number
plus a negative
number is negative
Answer
Ans:
Explanation
Expl
Answer:
it depends on the larger number
Step-by-step explanation:
A positive and a negative is the same as subtracting
ex: 7 + (-2) = 7 -2 = 5
ex: -7 + 2 = 2-7 = -5
Answer:
-5 + 6=1
but
-6+5=. -1
Step-by-step explanation:
it depends , if the negative number is lesser than the positive then the answer will be in the positive, but if the negative number is greater than the positive it is a negative
Find an equation of the line satisfying the following conditions: Point (3,2);m= -5/6
Answer:
A
Step-by-step explanation:
y -2 = -5/6(x -3)
y-2 = -5/6x + 15/6
y = -5/6x + 27/6
y = -5/6x + 9/2
1. Select all the letters below that have a line of symmetry?
A. M
B. V
C. L
D. G
E. D
Answer:
A,M,V
Step-by-step explanation:
Surface area I guess
Answer:
B) 544in
Step-by-step explanation:
The area for the front triangle is 48in. So the back triangle is also 48in.
The area for the side rectangles are each 140in.
And the area for the bottom rectangle is 168in.
Add all the values together: 48+48+140+140+168=544
Hope this makes sense...?
In a certain test, the number of successful candidates was three times than that of unsuccessful candidate, if there had been 16 fewer candidates and if 6 more would have been unsuccessful, the number would have been as 2 to 1. Find the number of candidates.
Answer:
The number of candidates is 136.
Step-by-step explanation:
3. A newspaper reporter wants to know how popular the hobby of bird watching is in the city. He asked people at the local bird refuge if they watched birds as a hobby. Which of the following best explains whether the reporter's data is valid or not?
A. The data is valid for the entire city because the bird refuge is located in the city.
B. The data is not valid for the entire city because people can have more than one hobby.
C. The data is not valid for the entire city because bird watchers
are more likely to visit a bird refuge.
D. The data is valid for the entire city because a bird refuge is a good place to find people who like to watch birds.
Answer:
try c
Step-by-step explanation:
i dont know
1.2 + 3.45 + 6.789 = ?????
Step-by-step explanation:
[tex]1.2 + 3.45 + 6.789 \\ = 4.65 + 6.789 \\ = 11.439[/tex]
Answer:
11.4
Step-by-step explanation:
1.2 + 3.45 + 6.789 = 11.43926 ≈ 11.4
-TheUnknownScientist
