Answer:
c=100, d=40
Step-by-step explanation:
A technology manufacturer must test a sample of smartphones to ensure that quality and safety standards are met. Which of these methods will produce the most representative sample of the population of smartphones made by this company?
The condition where the manufacturer tests every 500th smartphone off the production line, is the method that will produce the most representative sample of the population of smartphones made by this company. Therefore, the correct answer is option D.
This method involves selecting smartphones at regular intervals, regardless of when they are produced or what day of the week it is. By selecting every 500th smartphone, the sample will be more likely to represent the entire smartphone population produced by the company. This method is also efficient and cost-effective since the manufacturer does not need to test every single smartphone.
The other options have potential drawbacks that may make them less representative.
Testing only the first smartphone off the production line each day (option A) may not be representative of variations in the production process causing the first smartphone to be different from the rest. Testing only the last 1000 smartphones produced each month (option B) may also not be representative if there are variations in production processes that occur over longer periods. Testing every smartphone made on Wednesday (option C) may not be representative of variations in the production process occurring over different days of the week.Know more about sample and population,
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lynn and dawn tossed a coin 60 times and got heads 33 times. what is the probability of tossing heads using lynn and dawn's results?
Answer:
55%
Step-by-step explanation:
33 is 55% of 60
and 11/20 = 33/60=0.55
How many weeks are in 1,095
Answer:
The answer to your problem is about, 156 weeks
Step-by-step explanation:
We can first divide it by 7.
We need to divide it by 7 because there is 7 days in a week which is:
1,095 ÷ 7 = 156.428571429.
Rounded; 156 weeks
Thus the answer to your problem is, 156 weeks
5% tip of a bill of 38.61
Answer:
$1.93
Step-by-step explanation:
38.61 x 5 % = 1.93
calculate
Answer: $1.93
Step-by-step explanation:
Since we are paying a 5% tip, we will find 5% of the total bill.
A percent divided by 100 becomes a decimal.
5% / 100 = 0.05
Next, "of" means multiplication in mathematics.
0.05 * 38.61 = $1.93
Can some help simplify this question, with a positive exponent
Jane and Sarah share £63. Jane receives
5/9
of the money. Find how much money Sarah receives
If Jane and Sarah share an amount of £63 and Jane receives "5/9" of money, then the amount of money Sarah receives is £28..
The total amount that needs to be shared between Jane and Sarah is = £63,
We know that , Jane receives "5/9" of the total amount,
Which means , Jane receives = (5/9)×63 = £35,
The total-sum of money is = £63,
So, We can write,⇒ Total money = Jane + Sarah,
Substituting the values ,
We get,
⇒ 63 = 35 + Sarah,
⇒ Sarah = 63 - 35 = £28.
Therefore, Sarah's share of money is = £28.
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What is the probability of student who are into sports and theater a. 1/26 b. 35/52 c. 6/13 d. 5/26
The probability of students who are neither into sports and theater is 11/13, under the condition that 2 students play sports, 10 students perform in theatre and the rest 4 are in both sports and theatre. Then, the correct option is Option C.
Total number of students that play sports = 12
Total number of students who perform in theater =10 Total number kf student who do the both= 4
Therefore,total number of students = 12+10+4 = 26
Then, the number of students that are neither into sports nor theatre = Total number of students - Number of students who are in both sports and theatre
= 26 - 4 = 22.
Now, the probability of students that are neither into sports nor theatre = Number of students who are neither into sports nor theatre / Total number of students
= 22 / 26
= 11 / 13
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The complete question is
What is the probability of student who are neither into sports and theater if 12 students play sports, 10 students perform in theatre and the rest 4 are in both sports and theatre .
a. 1/26
b. 35/52
c. 11/13
d. 5/26
In a circle, chords AB and CD intersect at E. If AE = 21, EB = 5, and ED = 7, find CE.
Applying the intersecting chords theorem, the length of segment CE is calculated as: 15.
How to Apply the Intersecting Chords Theorem?Based on the intersecting chords theorem, we can create the following equation using the given information of the segments formed by the intersecting chords in the circle given:
AE * EB = CE * ED
Given the following:
AE = 21,
EB = 5,
ED = 7
CE = ?
Plug in the values:
21 * 5 = CE * 7
105 = CE * 7
105/7 = CE
CE = 15
The length of segment CE is: 15.
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Solve this word problem: Hamburgers come in packs of 10. Hamburger buns come in packs of 8. What is the smallest amount of each I could purchase if I wanted to have the same amount of both hamburgers and buns?
Using LCM we would need to purchase 4 packs of hamburgers and 5 packs of buns to have the same amount of both.
To solve this word problem and find the smallest amount of hamburgers and buns you could purchase to have the same amount of both, we need to determine the least common multiple (LCM) of the pack sizes (10 for hamburgers and 8 for buns).
Step 1: List the multiples of each pack size.
- Multiples of 10: 10, 20, 30, 40, 50, ...
- Multiples of 8: 8, 16, 24, 32, 40, ...
Step 2: Identify the least common multiple.
- The LCM of 10 and 8 is 40.
So, the smallest amount of each you could purchase to have the same amount of hamburgers and buns is to buy 4 packs of hamburgers (4 x 10 = 40) and 5 packs of buns (5 x 8 = 40).
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how many 6-person lineups can be formed from a volleyball roster of 12 players, assuming every player can play any position?
Answer:2
Step-by-step explanation:
12/6=2
There are 924 possible outcomes 6-person lineups that can be formed from a volleyball roster of 12 players, assuming every player can play any position.
To answer your question, we can use the combination formula which is nCr = n!/(r!(n-r)!), where n is the total number of players in the roster and r is the number of players we want to choose for the lineup. In this case, we want to choose 6 players for the lineup out of 12 players in the roster. So, the formula becomes 12C6 = 12!/(6!(12-6)!) = 924. Therefore, there are 924 possible 6-person lineups that can be formed from the volleyball roster of 12 players, assuming every player can play any position.
To form a 6-person lineup from a 12-player volleyball roster, you can use the concept of combinations. Combinations are used to find the number of ways to choose items from a larger set without considering the order of the items. In this case, you need to choose 6 players from a set of 12. The formula for combinations is:
C(n, k) = n! / (k!(n-k)!)
where C(n, k) is the number of combinations, n is the total number of items, k is the number of items to choose, and ! denotes the factorial of a number. Plugging in the values for your question:
C(12, 6) = 12! / (6!(12-6)!)
C(12, 6) = 12! / (6!6!)
C(12, 6) = 924
So, there are 924 possible outcomes 6-person lineups that can be formed from a volleyball roster of 12 players, assuming every player can play any position.
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Derek sells appliances. He is paid a 6.5 % commission on every appliance
he sells. Derek sold $9,732.00 worth of appliances this week. What is
Derek's commission?
Answer:
$632.58
Step-by-step explanation:
It is given that Derek is paid a 6.5% commission (or 0.065 in decimals) on every appliance sold. It is also given that Derek sold $9,732.00 in total.
To solve, multiply the total sold with the commission percentage to find total amount of commission:
commission percentage x total sold = total amount of commission
Plug in the corresponding numbers to the corresponding variables. Let the variable, t, stand for the total amount of commissions:
0.065 x 9732 = t
t = 632.58
Derek's total commission is $632.58
~
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An airplane flies 1062 km with the wind. In the same amount of time it can fly 738 km against the wind. The speed of the plane in still air is 200km/h. Find The speed of the wind
The speed of the wind is approximately 18.8 km/h.
Now, let's use the information we have to set up some equations. We know that the distance the airplane can fly with the wind is 1062 km, and that it covers this distance in the same amount of time as it takes to fly 738 km against the wind. We can use the formula:
distance = speed x time
to write equations for these situations. For example, when flying with the wind:
1062 = (200 + w) x time
And when flying against the wind:
738 = (200 - w) x time
Now, we can solve for the unknown variable, which in this case is the speed of the wind. Let's rearrange the first equation to solve for time:
time = 1062 / (200 + w)
And the second equation:
time = 738 / (200 - w)
Since the time for each trip is the same, we can set these two expressions equal to each other and solve for w:
1062 / (200 + w) = 738 / (200 - w)
To solve for w, we can cross-multiply and simplify:
1062(200 - w) = 738(200 + w)
212400 - 1062w = 147600 + 738w
3442w = 64799
w = 18.8
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ANSWER ASAP FOR BRAINLIEST!!!!
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair.
Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15
Function 2 f(x) = −x2 + 4x + 1
A Function 1 has the larger maximum at (4, 1).
B Function 1 has the larger maximum at (1, 4).
C Function 2 has the larger maximum at (2, 5).
D Function 2 has the larger maximum at (3, 2).
Function 2 has the larger maximum at (2, 5).
Hence the correct option is (C).
Given the first function is,
Function 1: f(x) = x² + 8x - 15
Differentiating the function with respect to 'x' we get,
f'(x) = 2x + 8
f''(x) = 2
Now, f'(x) = 0 gives
2x + 8 = 0
2x = -8
x = -8/2
x = -4
At x = -4 the value of f''(-4) = 2 > 0
So there is minimum at x = -4.
Second function is:
Function 2: f(x) = -x² + 4x + 1
Differentiating the function with respect to 'x' we get,
f'(x) = -2x + 4
f''(x) = -2
Now, f'(x) = 0 gives
-2x + 4 = 0
2x = 4
x = 4/2
x = 2
At x =2 the value of f''(2) = -2 < 0
So at x = 2 the function has maximum value.
max f(x) = f(2) = - 2² + 4*2 + 1 = - 4 + 8 + 1 = 5
So function 2 has the larger maximum at (2, 5).
Hence the correct option is (C).
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the function below gives a rockets height, h(t) in feet in terms of the time, t in seconds since it has been launched h(t)=-16t + 128t +80 how many seconds does it take the rocket to be 272 feet in the air
It takes the rocket 2 seconds to be 272 feet in the air
Seconds it takes the rocket to be 272 feet in the airFrom the question, we have the following height function that can be used in our computation:
h(t) = -16t^2 + 128t +80
At 272 feet, we have
h(t) = 272
Substitute the known values in the above equation, so, we have the following representation
-16t^2 + 128t +80 = 272
Evaluate the like terms
So, we have
-16t^2 + 128t - 192 = 0
Solving using a graph, we have the smaller value of t to be
t = 2
Hence, the time to be 272 feet in air is 2 seconds
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pls answer
worth 20 pointsss
Answer:
35.26m
Step-by-step explanation:
6.7/ 2 = 3.35
Radius = 3.35^2
Circle = pie x 3.35^2
pie x 11.2225 = 35.25652355
35.25652355 estimated = 35.26
Las dos ruedas traseras de un tractor tienen un perímetro 90 cm mayor que las delanteras. En un camino de 230 metros, las ruedas traseras giran 36 veces menos que las ruedas delanteras. ¿Cuál es el perímetro de las ruedas?
Find the weighted average of the numbers 1 and 6, with a weight of two-thirds on the first number and one-third on the second number. A. 3.5 B. 3.3 C. 2.7 D. 2.4
The weighted average is 1.
Weighted average is a statistical term used to describe a average calculated by giving different weights to different elements in a set of values.
The weighted average of the numbers -1 and 5 with two thirds of the weight on the first number and one third on the second number is 0.67.
The formula for a weighted average is:
(Weight1 * Value1) + (Weight2 * Value2) / (Weight1 + Weight2)
Where Weight1 is the weight for the first value (-1), Value1 is the first value (-1), Weight2 is the weight for the second value (5), and Value2 is the second value (5).
In this case, Weight1 = 2/3, Weight2 = 1/3, Value1 = -1, and Value2 = 5. Plugging these values into the formula, we get:
(2/3 * -1) + (1/3 * 5) / (2/3 + 1/3) = (-2/3 + 5/3) / 1 = 3/3 = 1
Hence, the weighted average is 1.
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Which of the following graphs shows a line with a slope of zero
Answer:
The line that shows a slope of Zero is Graph D
Use the graph to answer the question.
Graph of polygon VWXYZ with vertices at negative 8 comma 2, negative 8 comma 0, negative 5 comma negative 7, negative 2 comma 0, negative 2 comma 2. A second polygon V prime W prime X prime Y prime Z prime with vertices at negative 8 comma negative 8, negative 8 comma negative 6, negative 5 comma 1, negative 2 comma negative 6, negative 2 comma negative 8.
Determine the line of reflection.
Reflection across y = −3
Reflection across the y-axis
Reflection across x = −5
Reflection across the x-axis
The line of reflection are across the y-axis.
Given data is,
Let the polygon be represented as VWXYZ
Now , the coordinates of the polygon is given as
The coordinate of V = ( -8 , 2 )
The coordinate of W = ( -8 , 0)
The coordinate of X = ( -5 , -7 )
The coordinate of Y = ( - 2 , 0 )
The coordinate of Z = ( - 2 , 2 )
Now , the translated polygon is having the coordinates as
The coordinate of V' = ( -8 , 8 )
The coordinate of W = ( -8 , 6)
The coordinate of X = ( -5 , 1 )
The coordinate of Y = ( - 2 , -6 )
The coordinate of Z = ( - 2 , -8 )
Clearly, x coordinate will be same but y coordinate will be change.
Hence, The line of reflection are across the y-axis.
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Answer: y = -3
Step-by-step explanation:
If there are 2 students who take Italian and 10 students total, then the ratio of students who take
Italian to the total number of students is
(A) 2:5
(B) 5:1
(C) 2:1
(D) 1:5
(E) 5:8
Answer: 1:5
Step-by-step explanation:
If you convert that to a ratio, that is 2:10 = 1:5.
It takes 3 gallons of paint to cover 800 square feet of surface. Which proportion can be used to find the number of gallons of paint needed to cover 2000 square feet of surface
it would take 7.5 gallons of paint to cover 2000 square feet of surface.
What is an Equations?
Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
The proportion that can be used to find the number of gallons of paint needed to cover 2000 square feet of surface is:
3 gallons : 800 square feet = x gallons : 2000 square feet
where x is the number of gallons of paint needed to cover 2000 square feet of surface.
Simplifying the proportion, we can cross-multiply to get:
3 * 2000 = 800 * x
Solving for x, we get:
x = (3 * 2000) / 800 = 7.5 gallons
Therefore, it would take 7.5 gallons of paint to cover 2000 square feet of surface.
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please
Describe the graph of each equation as a transformation of the graph y=5^x.
1. y=3(5)^x
2. y=1/3 5^x
3. y=-5^x
Find the measure of arc AB
measure of arc AB = 2 × 82
= 164
It is a rule there isn't much to say :>
what is -1 2/5 - (- 4/5) rationales
Answer:
-3/5
decimal form: -0.6
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
have a good day :)
The perimeter of a square market is 32 meters. How long is each side of the market?
Because of the pandemic, consumers stop going to gyms and cancel their memberships in record numbers. Consequently, the price of gym memberships fall. (highlight one)Movement along a fixed supply curve. Shift in the supply curve
Answer:answer 2
Step-by-step explanation:
2
If x = 3, solve for y.
y = 2.3x
First plug in the value of x into the equation.
y = 2.3[?]
Answer
Enter 3 in the green box
Further explanation
It tells us to plug in the value of x, which is 3
so we have
[tex]\sf{y=2*3^3}[/tex]
Then you do exponents
[tex]\sf{y=2*27}[/tex]
Then you multiply
[tex]\sf{y=54}[/tex]
Determine whether the pairing is a function. If it is a function, describe the rule that relates the input value to the output value.
input: -3, -1, 0, 1, 3
output: 0, 2, 3, 4, 6
A. The pairing is not a function
B. The pairing is a function. The rule is “input value multiplied by 2 then add 3.”
C. The pairing is a function. The rule is “input value multiplied by 3 then add 3.”
D. The pairing is a function. The rule is “input value plus 3.”
A parabola crosses the x axis at -1 and 7
Answer:7y
Step-by-step explanation:
Simplify Square root of 726
PLS hELPPPPPPPPP
Answer:
The prime factorization of 726 is 2 × 3 × 121 or 2 × 3 × 11². Simplifying the square root of 726, we can take the square root of each factor and simplify as follows:
√726 = √(2 × 3 × 11²) = √2 × √3 × 11 = 11√6
Therefore, the simplified form of the square root of 726 is 11√6.
Step-by-step explanation:
Answer: The square root is 26.9443871706 but simplied is 11/6
Step-by-step explanation:
you would write the number on the paper and then