A random sample of five Galaxy 8 smartphones is selected from the production line after final assembly, and the result of the weight control measurement is (in grams) 155.1, 154.8, 155.5, 155.3, and 154.6.What are the average weight, its uncertainty (i.e. the standard deviation of the mean), and the fractional uncertainty
Answers
Answer:
a. Mean = 155.1 grams
b. Standard deviation = 0.37
c. Fractional uncertainty = 0.074
Step-by-step explanation:
a. Average weight
This is same as the mean weight;
Mathematically, that would be; sum of the weights/ the number of weights
= (155.1 + 154.8 + 155.5 + 155.3 + 154.6)/5 = 775.3/5 = 155.06 which is approximately 155.1
b. Standard deviation
Mathematically; we calculate that using the formula;
√{(x-mean)^2/(N-1)}
Please check attachment for for the complete breakdown of this
c. Fractional uncertainty
= Standard deviation/number of measurements = 0.37/5 = 0.074
Related Questions
What value of n makes the equation true?
Answers
Answer:
n=10
Step-by-step explanation:
You need n to be 10 because: y^20= (y^10)^2
Answer:
n = 10
Step-by-step explanation:
(2x⁹yⁿ) * (4x²y¹⁰) = 8 x¹¹ y²⁰
use the rules of exponents to simplify the expression.
2¹ x⁹ yⁿ * 4¹ x² y¹⁰
use the commutative property of multiplication
2¹ * 4¹ x⁹ x² yⁿ y¹⁰
add exponents of the same base:
8 x⁹ ⁺ ² y ⁿ ⁺ ¹⁰
back to original equation:
8 x⁹ ⁺ ² y ⁿ ⁺ ¹⁰ = 8 x¹¹ y²⁰
therefore
the value of n = 10
Nathan is hosting a part for 40 guests. He will count each of the 45 drop in guests as half a guest. How much of each food item should Nathan order?
Fried chicken- 24 pieces
Deli meats- 3 2/3
Lasagna 10 3/4
Answers
Answer:
25 guests is 2.5 times more than 10
Step-by-step explanation:
Multiply by 2.5
Chicken = 16 x 2.5 = 40
Lasagna = 7 x 2.5 = 17.5 , round to 18
Deli meat = 1.8 x 2.5 = 4.5, round to 5
Sliced cheese = 15 x 2.5 = 37.5, round to 38
Buns = 1 x 2.5 = 2.5, round to 3
Potato salad = 2 x 2.5 = 5
(-5) ÷ (-7) = _____
-
35
-35
Answers
Answer:
0.714
Step-by-step explanation:
Wgat more explanation could I give you. lol
explanation:
The quotient of 2 integers with the same sign is positive.
The quotient of 2 integers with different signs is negative.
Example:
(-8) ÷ (-4)= 2
Chris can be paid in one of two ways. Plan A is a salary of $400 per month, plus
a commission of 7% of sales. Plan B is a salary of $692 per month, plus a
commission of 3% of sales. For what amount of sales is Chris better off selecting
plan A?
Answers
Answer:
$7300
Step-by-step explanation:
For Chris to select plan A, Plan A salary should be greater than that of plan B. Let the amount of sales be x
[tex]400 + \frac{7}{100} x > 692 + \frac{3}{100} x \\ \frac{7}{100} x - \frac{3}{100} x > 692 - 400 \\ \frac{4}{100} x > 292 \\ x > 7300[/tex]
y2-8+7
2x - y >4
Yes
No
Answers
Thank you!
Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression? o
(x2 – 7)(x - 5)
(x2 – 7)(x + 5) •
(x2 – 5)(x – 7)
(x2 + 5)(x – 7)
Answers
Answer: C
.................................................................
The expression is a polynomial expression, and the factored expression of x³ - 7x² - 5x + 35 is (x² - 5)(x - 7)
How to factor the expression?The expression is given as:
x³ - 7x² - 5x + 35
Factorize the expression
x²(x - 7) - 5(x - 7)
Factor out x - 7 in the expression
(x² - 5)(x - 7)
The above expression cannot be further factorized.
Hence, the factored expression of x³ - 7x² - 5x + 35 is (x² - 5)(x - 7)
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3. Starting from his house, Reid rode his bike 300 m to the north, then 100 m to the east.
Which of the following vector diagrams shows Reid's path? (Note: The height and width of each
square in the grids is 100 m.)
Answers
Answer:
The answer would be South x
Step-by-step explanation:
Ben simplified this expression (2x^-4y^7 / 3x^3y^2)^3 Analyze bens work. did he simplify the expression correctly? If not, what was his mistake? Yes, he is correct. No, he needed to add the exponents of powers of the same base in the first step. No, he needed to apply the exponent to all factors in the product in the second step.
Answers
-c
No , he needed to apply the exponents to all factors in the product in the second step .
What is the Area of the letter E
Answers
Answer:
24 square inches. do the area of the whole rectangle (7x12) and subtract the two little rectangles (5X6) x 2= 60 so 84-60=24
Step-by-step explanation:
Someone help me pliisss
Answers
Answer:
The prove of the given identity is shown below:
Step-by-step explanation:
It seems that the question involves the proving of a trigonometric identity.
Therefore, we are going to work independently on each side of the equal sign.
We start by considering [tex]cos(\alpha)=cos(\frac{\alpha}{2} +\frac{\alpha}{2})[/tex] since the angle alpha is the same as the addition of two halves of it. Then we apply the identity for the cosine of an addition of angles: [tex]cos (\frac{\alpha}{2} +\frac{\alpha}{2})=cos(\frac{\alpha}{2})*cos(\frac{\alpha}{2})-sin(\frac{\alpha}{2})*sin(\frac{\alpha}{2})= cos^2(\frac{\alpha}{2})-sin^2(\frac{\alpha}{2})[/tex]
and now we use the Pythagorean identity to replace the cosine square expression:
[tex]cos^2(\frac{\alpha}{2})=1-sin^2(\frac{\alpha}{2})[/tex]
in the difference of square trig functions we had arrived to:
[tex]cos^2(\frac{\alpha}{2})-sin^2(\frac{\alpha}{2})=1-sin^2(\frac{\alpha}{2})--sin^2(\frac{\alpha}{2})=1-2\,sin^2(\frac{\alpha}{2})[/tex]
We have arrived at the exact same expression the original identity shown on the righthand side of the equal sign, so we have proved the identity.
____________ prove that the people traded over long distances. a. Ancient tree stumps, discovered by scientists, b. Written records c. Buildings that were built with logs from mountains about 50 miles away d. Oral traditions
Answers
Answer:
It’s c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
can someone do it :) Simplify 5(x - 6).
Answers
Answer:
5x - 30
Step-by-step explanation:
I used the distributive property and I think I got it.
Answer:
5 x minus -30
x is equal to -6
hope this helped you
please mark as the brainliest (ㆁωㆁ)
If DE = 5x, EF = x + 8, and DF = 20, what is EF? Simplify your answer and write it as a proper fraction, mixed number, or integer. Please if you could(or not) type the answer step by step.
Answers
Answer:
EF = 10
Step-by-step explanation:
DE + EF = DF
5x + x + 8 = 20
6x = 20 - 8
6x = 12
x = 12/6
x = 2
EF = x + 8 = 2 + 8 = 10
plsss i really need help! How many unique handshakes can be made between 5 people? if you help me ill give u brainliest!
Answers
Answer:
10
Step-by-step explanation:
This is called a combination. Imagine you draw a figure, with a number representing each person, as shown below:
1 2 3 4 5
Person 1 can shake person 2, 3, 4, and 5's hands, for a total of 4 handshakes.
Person 2 can shake 3, 4, and 5's hands, for a total of 3 handshakes.
Person 3 can shake 4 and 5's hands, for a total of 2 handshakes.
Person 4 can only shake 5's hand, which is 1 handshake.
Last you add up the handshakes from every person, 4+3+2+1, which is equal to ten unique handshakes.
In a volcano, erupting lava flows continuously through a tube system about 17 kilometers to the sea. Assume a lava flow speed of 0.5 kilometer per hou calculate how long it takes to reach the sea.
Answers
Answer:
Distance = rate x time or d = rt...that means time t = d/r...and we have
t = 21 km / .5 km/hr = 42 hr
Step-by-step explanation:
The amount of time taken by the lava to reach the sea will be 42 hours.
What is speed?Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. The speed is a scalar quantity it only requires magnitude to represent.
Given In a volcano, erupting lava flows continuously through a tube system about 17 kilometers to the sea. Assume a lava flow speed of 0.5 kilometers per hour.
The distance will be calculated as below:-
Distance = rate x time
d = r x t
t = d / r
t = 21 km / .5 km/hr
t = 42 hr
Therefore, the amount of time taken by the lava to reach the sea will be 42 hours.
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Russell runs 910 mile in 5 minutes. At this rate, how many miles can he run in one minute?
Answers
Russell would run 182 miles for 1 minute.
Enter the addition problem so the fractions have a common denominator. Then find
the sum. 1/10 + 3/5
Answers
Answer:
7/10
Step-by-step explanation:
1/10 + 3/5
1/10 + 6/10
7/10
The inverse of f(x) = 2x + 3 is
O True
O False
Answers
The inverse of f (×) =2× + 3 is
yes it is true
Shea bought x candy bars for $1.50 each. Write an
algebraic expression for the total amount Shea spent.
What’s the answer?
Answers
I need two tickets to the movies. Each ticket costs $12. How much do I need to purchase 2 tickets to the movies?
Show Work!
Answers
Answer: 24$
multiply $12x$2 and get 24$
Step-by-step explanation: I need two tickets to the movies. Each ticket costs $12. How much do I need to purchase 2 tickets to the movies?
Twice the sum of a number and 7 is more than 6 or at most -3. Which compound inequality can represent this relationship
Answers
Answer:
C
Step-by-step explanation:
The inequality 2(x + 7) > 6 and 2(x + 7) ≤ -3 will represents the given situation so option (C) will be correct.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
Let's say that number is x
Then,
sum of a number and 7 = x +7
Twice the sum of a number and 7 is more than 6
So,
2(x + 7) > 6
And
Twice the sum of a number and 7 is at most -3, it means it can go up to -3 not more than.
So,
2(x + 7) ≤ -3
Hence "The inequality 2(x + 7) > 6 and 2(x + 7) ≤ -3 will represents the given situation".
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32(2 + 3) + 5 what is the operation
Answers
Answer: first add everything in the (parentheses) then multiply that by 32 then add 5 = 165
Step-by-step explanation:
Point V is on line segment UW, given VW = x + 7, UW = 3x - 9, and UV = 8, determine the numerical length of UW
Answers
Answer:
The numerical length of UW is 27
Step-by-step explanation:
The inequality x2 – 5x + 3 < 3 can be broken down into two related inequalities. The graphs of these related inequalities are shown on the graph to the left. Which set shows the solution to the inequality?
Answers
Answer:
A (0,5)
Step-by-step explanation:
Look where both lines intersect.
Answer:
(0, 5)
Step-by-step explanation:
A factory manufactures tennis balls. Each tennis ball is stamped with the number 1, 2, 3, or 4. The table shown below lists the percent of tennis balls stamped with each number. What is the probability that a tennis ball selected at random is stamped with an even number? 1/35% 2/30% 3/20% 4/15%
Answers
Answer:
Step-by-step explanation:
the answer is .25 because i got it right and it makes alot of sense
The equation 3x − 6 = 2(x + 4) has A. one B. no C. Infinitetly many solution(s).
Answers
Answer:
x=14?
Step-by-step explanation:
2(x+4)=2x+8, so 3x-6=2x+8. Subtraxt 2x from each side to get x-6=8. Then add 6 to both sides to get x=14
Answer:
One solution
Step-by-step explanation:
3x-6 = 2(x+4)
3x-6=2x+8
3x-2x-6=8
x-6=8
x=14
Zoe mows the lawn in the summer to earn extra money she usually charges $15 per week but she offers a special rate of $59.50 if a customer prepaid for 5 weeks. how much does a customer pay for each week with a special rate?
Answers
Answer:$11.90
Step-by-step explanation:
Divide 59.50 by 5
A dozen eggs cost $4.25 at the farm stand. Approximately how much does each egg cost (round to the nearest penny)
Answers
8÷2(2+2) is 16 right or is it 1
Answers
the answers 16 if you need an explanation then ill comment one.....!
Answer:
16
Step-by-step explanation:
8 :2 ×(2 +2) =
4 ×4 =
16
You had $199, but you are spending $3 each day. What algebraic expression models this situation?
Answers
Answer:
y=199-3x
Step-by-step explanation:
you ave 199 and 3 pper day so is considered each day and whatever it equals it will be y
Answer:
A 199 -3d
Step-by-step explanation:
Plz choose mine as brainliest