Answer:
C) the average failure time of a large number of batteries has a distribution that is close to Normal.
Step-by-step explanation:
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.
In this question:
Distribution is skewed to the right.
However, for large samples of batteries, the sampling distribution of sample means will be approximately normal, which means that the answer is given by option c.
As a ship approaches the dock, it forms a 70 angle between the dock and the lighthouse. At the lighthouse, an 80 angle is formed between the dock and the ship. How far is the ship from the dock?
Answer:
The distance from the ship to the dock is approximately 5.24 miles
Step-by-step explanation:
From the parameters given in the question, we have;
The angle formed between the dock and the lighthouse = 70°
The angle formed between the dock and the lighthouse at the ship = 80°
The distance between dock and the lighthouse = 5 miles (From a similar question online)
By sine rule, we have;
[tex]\dfrac{a}{sin(A)} = \dfrac{b}{sin(B)} = \dfrac{c}{sin(C)}[/tex]
Therefore, we have;
[tex]\dfrac{5}{sin(70^{\circ})} = \dfrac{The \ distance \ from \ the \ ship \ to \ the \ dock}{sin(80^{\circ})}[/tex]
[tex]\therefore The \ distance \ from \ the \ ship \ to \ the \ dock = sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})}[/tex]
[tex]sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})} \approx 5.24 \ mi[/tex]
Therefore;
The distance from the ship to the dock ≈ 5.24 miles
PLEASE HELP ME WITH THIS FOR BRAINLIST AND 5 STAR
Answer:
Step-by-step explanation:
1) 792÷ 36=22
2) 1/2 ÷ 3 = 1/6
3) D
4) its 10,00 cause 7.741 x 10 = 77,410
5) the answer in decimal is 60.089
Write the following rate as a unit rate.
1720 words to 40 minutes
Answer:
430 words per minutes because we divide 1720 by 40 to get the number of words for a singular minute.
Hope this helped and brainliest please
Helpppppppppppppppppppppp Me pick two
Answer:
options C and E
Step-by-step explanation:
[tex]y=\frac{1}{3} x+\frac{8}{3} \\\\y=\frac{1}{3} x+6[/tex]
have a nice day!!
Discuss TWO ways in which some cultural views that exist may affect
a relationship negatively.
Answer:
yeah
Step-by-step explanation:
Before answering the question, it's important to get the definition right for cultural views.
Cultural views: 'Cultural views are the beliefs held by a group in a society to be true. We have individual beliefs and also collective views.'
Example: 'Indians love cricket.' The statement can be true as many people do love cricket, but not everyone loves cricket.
Cultural views that exist may affect a relationship negatively as it can lead to miscommunication and racial differences.
What are cultural views?It should be noted that cultural views are the beliefs that are held by a group in a society.
It should be noted that cultural views that exist may affect a relationship negatively as it can lead to miscommunication and racial differences. For example, one may believe that's he or she is superior to another.
Learn more about culture on:
https://brainly.com/question/25010777
90, 98, 96, 95, 97, 96, 99, 91, 93, 98, 96, 97, 95, 96 Part C: Tierney says that 40% of her ponies are over 96 centimeters in height. Is Tierney’s statement CORRECT? A. Yes, because there are 9 ponies with a height of at least 96 centimeters and that is 60% of her ponies. B. No, because there are 5 ponies with a height greater than 96 centimeters and that is about 36% of her ponies. C. Yes, because the median height of the ponies is 96 centimeters and 50% of the ponies would be taller. D. No, because there are 4 ponies with a height of 96 centimeters and that is about 27% of her ponies.
Answer:
Yes, because the median height of the ponies is 96 centimeters and 50% of the ponies would be taller.
Step-by-step explanation: I think so
The mass of a basket containing 3 balls was 3.64 kilograms. The mass of the same basket and 5 balls is 5.26 kilograms. Find the mass of the empty basket in kilograms.
Answer:
1.21 kilograms
Step-by-step explanation:
Let y represent the mass of the empty basket, and x represent the mass of each ball
Create a system of equations:
3x + y = 3.64
5x + y = 5.26
Solve by elimination by multiplying the top equation by -1
-3x - y = -3.64
5x + y = 5.26
Add them together, then solve for x:
2x = 1.62
x = 0.81
Plug this back into one of the equations and solve for y:
3x + y = 3.64
3(0.81) + y = 3.64
2.43 + y = 3.64
y = 1.21
So, the mass of the empty basket is 1.21 kilograms
Answer:
1.21 kilograms
Step-by-step explanation:
Hope this helps
Yadira's mom is buying hot dogs and hot dog buns for the family barbecue. Hot dogs come in packs of 12 and hot dog buns come in packs of 9.
The store does not sell parts of a pack and Yadira's mom wants the same number of hot dogs as hot dog buns.
What is the smallest total number of hot dogs that Yadira's mom can purch
Answer:
36 hot dogs
Step-by-step explanation:
For this question, we use the LCM of 12 and 9 to calculate the answer
The LCM of 12 and 9 = 36
12=4 x 3
9=3 x 3
LCM of Number = 3 x 3 x 4 = 36
3. If
15
x+20'
what is the value of?
X
I'm lost on this please help
Answer:
y = x - 4
I hope this helps!
I will give u branlylist
Answer:
17.99x = y
Step-by-step explanation:
What value of x is in the solution set of 8x – 6 > 12 + 2x?
Answer:
the answers are -1, 0, 3, and 5
Step-by-step explanation:
Please answer can give brainliest
Answer:
12 by 20 is correct ( option a)
What is the value of t in the following equation?
t + 14 = 2712
A. t = 37
B. t = 123
C. t = 213
D. t = 323
Answer: t = 2698 as question is written. Just subtract 14 from both sides. There is either a typo in the question or the answer choices.
Step-by-step explanation:
Select three ratios that are equivalent to 7: 6.
Answer: 12:14, 21:18, 42:36
Step-by-step explanation:
The circumference of a circle is 87 cm. What is the DIAMETER of the circle?
A) 2 cm
B) 4 cm
C) 6 cm
D) 8 cm
Answer:
27.70
Step-by-step explanation:
you have to do 87 divided by the pi you only have to do 3.14 as the pi.
help me plz ill give extra points
Answer:
it will turn off
Step-by-step explanation:
when it is disconceted it will cause it to shut off
hope this helps ||
v
Answer: Then the light bulb will not turn on or light up or work because the wire is disconnected and plus the switch is off
Step-by-step explanation:
Please mark me as brainliest
The functions f and g are defined as follows.
f(x)= 1/(x+2)
g(x)= square root of: (x-1)
(a)
State which value of x cannot be included in the domain of f.
(b)
Find the inverse of g(x)
(c) Calculate fg(10)
Answer:
x != -2, x^2 + 1, 1/5
Step-by-step explanation:
(a) It can be understood that nothing can divide 0
thus denominator cannot be 0 meaning x cannot be -2.
(-2 + 2) = 0
(b) y = sqrt(x-1)
inverse meaning we make x the subject
square both sides
y^2 = x - 1
y^2 + 1 = x
inverse = x^2 + 1
(c) composite function:
pass g(10) as domain of f
g(10) = 3, f(3) = 1/(5) = 1/5
The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. What is the average value of f over the interval [−2,5] ?
Answer:
The average value of [tex]f[/tex] over the interval [tex][-2,5][/tex] is [tex]\frac{10}{7}[/tex].
Step-by-step explanation:
Let suppose that function [tex]f[/tex] is continuous and integrable in the given intervals, by integral definition of average we have that:
[tex]\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6[/tex] (1)
[tex]\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20[/tex] (2)
By Fundamental Theorems of Calculus we expand both expressions:
[tex]\frac{F(3)-F(-2)}{3-(-2)} = -6[/tex]
[tex]F(3) - F(-2) = -30[/tex] (1b)
[tex]\frac{F(5)-F(3)}{5-3} = 20[/tex]
[tex]F(5) - F(3) = 40[/tex] (2b)
We obtain the average value of [tex]f[/tex] over the interval [tex][-2, 5][/tex] by algebraic handling:
[tex]F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)[/tex]
[tex]F(5) - F(-2) = 10[/tex]
[tex]\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}[/tex]
[tex]\bar f = \frac{10}{7}[/tex]
The average value of [tex]f[/tex] over the interval [tex][-2,5][/tex] is [tex]\frac{10}{7}[/tex].
Which expression is equivalent to 5 - 8?
O -5 +8
O 5+ (-8)
0 5 + 8
O 8 + (-5)
Answer:
is "5+(-8)"
Step-by-step explanation:
5 - 8 = -3
5 + (-8)
5-8 = -3
Answer:
B
Step-by-step explanation:
help pls!! ....................................................
Answer:
(a) The width is 40 inches
(b) It will not
Step-by-step explanation:
Given
[tex]D = 50[/tex] -- Diagonal
Solving (a): H = 30 --- (height).
Find the width (W)
To do this, we make use of Pythagoras theorem
[tex]D^2 = H^2 + W^2[/tex]
This gives:
[tex]50^2 = 30^2 + W^2[/tex]
[tex]2500 = 900 + W^2[/tex]
Collect Like Terms
[tex]W^2 = 2500 - 900[/tex]
[tex]W^2 = 1600[/tex]
Take square roots
[tex]W = 40[/tex]
Solving (b): Will it fit into a 30 in wide cabinet?
In (a) above, we calculated the width of the TV to be 40 inches
This implies that, the width is greater than the width of the cabinet.
So, it will not fit in
ANSWER ASAP The questions on a multiple-choice test each have 5 answer choices.
Which of the following models could you use to simulate the
outcome of guessing the correct answer?
F. spinning a spinner with five equal sections
G. flipping a coin five times
H. spinning a spinner with four equal sections
I. rolling a number cube labeled one through six five times
Answer:
F, spinning a spinner with five equal sections
Step-by-step explanation:
The probability of something is (the ways to acheive the wanted outcome / all possible situations)
For example, the probability of getting heads on a coin flip is (1 possible way to get heads / 2 possible outcomes) = 1/2, or 50/50
Now, onto the problem.
There is only one way to get the answer right, and 5 possible situations. So, the probability of getting the question right would be 1/5.
F) Spinning a spinner with five parts means that you have: 1 way to get the right section, and 5 possible outcomes. So, the probability of getting the right section would be 1/5. So, this answer is correct.
G) Flipping a coin five times: Each time, you have a 1/2 chance of the coin landing on the desired side. So, this would not be an accurate comparison.
H) Spinning a spinner with four equal sections: There is one way to land on the desired section, and 4 possible outcomes. So, the probability of this simulation is 1/4, so this answer is incorrect.
I) Rolling a number cube labeled one through six times: Each time, there is one way to land on the number you want, while there are six possible outcomes. So, the probability of getting your desired number is 1/6, which is incorrect.
I hope this helps! Feel free to ask any questions!
Help me please. And if you can explain but if not its ok
Answer:
B. 13√3
Step-by-step explanation:
Apply pythagorean theorem:
Thus, we have:
x² = (12√3)² + (5√3)²
x² = 432 + 75
x² = 507
x = √507
x = 13√3
What number is 1.5% of 10.89?
HELP PLEASE TY IN ADVANCE ♥
12, 20, 28, ...
Find the 35th term.
Answer:
i think 36is the right answer
Type the missing number in this sequence: –2, –4, –8, , –32, –64 Questions
Answer:
-16
Step-by-step explanation:
The sequence pattern is ×2
-4 × 2 is -8
-8 × 2 is -16
-16 × 2 is -32
Answer:
-16
Step-by-step explanation:
-2
-2(2) = -4
-4(2) = -8
-8(2) = -16
-16(2) = -32
-32(2) = -64
Polly surveyed 850 teenagers to find out their favorite type of music. She found that 32% of the teenagers surveyed like hard rock.
Part A: How many teenagers surveyed like hard rock? Show your work. (4 points)
Part B: In another survey, Damian found that 75% of the total number of teenagers surveyed like pop music. If 150 teenagers like pop music, what is the total number of teenagers that Damian surveyed? Show your work. (4 points)
Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points)
Answer:
Step-by-step explanation:
A) There are 850 total teens and 32% like rock.
32% of 850 = 0.32*850 = 272 teens like rock
B) 75% of teens = 150 teens. Make total teens = x. 75%x = 150
0.75x = 150
x = 200 teens like pop
C) well...
There are 50 students who bike to school every day and there are 200 students who walk to school every day. According to this information, the number of students who walk to school is 300% more than those who bike to school.
*I hope the last one is what you were looking for... if not, tell me in comments*
Suppose f(x) =log(x-3) and a g(x)=x+4.
Find the domain of. (fog)(x)
Answer:
x > -1
Step-by-step explanation:
p = (f o g)(x) = log ((x+4)-3)
p = log (x+1)
so that p has a value,
the value of x + 1 mus be greater than 0
x + 1 > 0
x > -1
so the domain is x > -1
Domain = {x | x > -1, x must real number}
Determine the degree of the following polynomial: - 4x + 10
Answer:
yeah it si correct
Step-by-step explanation:
4x-5x²+6x³/2x=4x-5x²+3x²=4x-2x²
therefore the degree of the following polynomial is 2
el Mosaico Coffee & Garden gives a $10 gift card to spend if customers can guess the sequence of the day. Janeth arrives on a Wednesday and is given with the following sequence when she arrives to the counter: {13,4,-5,-14,-23,-32} She identified as [Drop Down 1] and the recursive rule for as [Drop Down 2].
Answer: Drop down 1: 13
Drop down 2: a_n-1_-9
Step-by-step explanation: