Answer:
1^-2
Step-by-step explanation:
1/2*1/2=1/4=1/2^2=1^-2
Answer:
2 ^-2
Step-by-step explanation:
Edmentum
Please help! Thanks!
Answer:
1. Correct
2. Incorrect
Step-by-step explanation:
( - 1 + 1 ) / - 1
= 0 / - 1
= 0
- 1 / 1 = - 1
Answer:
below
Step-by-step explanation:
1) correct
2) incorrect
The mississippi river flows at a rate of 16 , 790 16,79016, comma, 790 cubic meters per second. choose the best approximation of the flow rate of the mississippi river.
1. 2.10^3 cubicmeterspersecond
2.10^4 cubicmeterspersecond
On solving the provided question, we can say that - To achieve the most accurate estimate of the Mississippi River flow, round the result up to the nearest hundred. 16,800 cubic m per second
What is nearest hundred?The nearest multiple of 100 is added to a number when it is rounded to the nearest hundreds. Rounding up occurs when the subsequent 100-multiple exceeds the initial value. Truncated numbers are those whose next multiple of 100 is smaller than the original value.
Imagining that the Mississippi River is moving at a speed of 16,790 cubic meters per second.
Round the value up to the next hundreds to obtain the most accurate estimate of the Mississippi River flow.
16,800 cubic meres per second
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Uhhhhhhh help
I’m very slow
Answer:
?
Step-by-step explanation:
Which expression forms an equation with the given expression; 24 - 5 x 2
MULTIPLE CHOICE QUESTION, OPTIONS: (5 x 8 -2), 2(6 +1), (5 +3) x 2), (4 x 9 + 2)
WILL MARK BRAINLIEST FOR BEST AND FAST ANSWER
Answer:
2(6 + 1).
Step-by-step explanation:
24 - 5 x 2 = 14
2(6 + 1) = 2*7 = 14
The yoga instructor at Universe Fitness spent $1,925 on 200 items for the upcoming yoga seminar. He purchased yoga mats for 12. 50 each ,yoga towels for $8. 00 each, and carrying cases for $10 each. He purchased twice as much towels as mats.
Part A : Define variables an write a system of equations to represent the situation.
Part B : The instructor was auditing books. He noticed that in this transaction, the purchased 200 items: 25 mats , 50 towels, and 125 carrying cases. Are the records accurate? Justify your answer
Part A: The total number of items purchased is 200, so the sum of the quantities of mats, towels, and carrying cases should be equal to 200. We can write this as x + y + 125 = 200.
Part B: If both equations hold true, then the records are accurate.
In this case, the equations are satisfied, so the records are accurate. The instructor indeed purchased 25 mats, 50 towels, and 125 carrying cases, totaling 200 items.
Part A: To define variables and write a system of equations, let's assign variables to the quantities of each item the yoga instructor purchased.
Let's say:
- x represents the number of yoga mats purchased
- y represents the number of yoga towels purchased
Since the instructor purchased twice as many towels as mats, we can write the equation y = 2x.
The total number of items purchased is 200, so the sum of the quantities of mats, towels, and carrying cases should be equal to 200. We can write this as x + y + 125 = 200.
Part B: To determine if the records are accurate, let's substitute the values provided in the problem into the equations. According to the records, the instructor purchased 25 mats, 50 towels, and 125 carrying cases.
Substituting these values into the equations, we have:
- x + y + 125 = 200
- 25 + 50 + 125 = 200
If both equations hold true, then the records are accurate.
In this case, the equations are satisfied, so the records are accurate. The instructor indeed purchased 25 mats, 50 towels, and 125 carrying cases, totaling 200 items.
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Calculations for the Determination of Ammonium Chloride The data from the data entry portion of the report has been copied into this section of the report for your convenience. Use the data to make the necessary calculations. [1] Mass of evaporating dish #1: 36.190 g [2] Mass of evaporating dish and original sample (g) : 37.020 g (2pts) Mass of original sample (g) [3) Mass of evaporating dish after subliming NH
4
( g) : 36.550 g (2pts) Mass of NH
4
Cl(g) (2pts) Percent of NH
4
Cl (\%) (4pts) B. Calculations for the Determination of Sodium Chloride [4] Mass of evaporating dish #2: 41.63 g [5] Mass of watch glass (g) : 47.84 g [6] Mass of evaporating dish #2, watch glass, and NaCl(g) : 89.510 g (2pts) Mass of NaCl(g) (2pts) Percent of NaCl(%)
[1] Mass of evaporating dish #1: 36.190 g
[2] Mass of evaporating dish and original sample: 37.020 g
To calculate the mass of the original sample, we subtract the mass of the evaporating dish from the total mass:
Mass of original sample = Mass of evaporating dish and original sample - Mass of evaporating dish
Mass of original sample = 37.020 g - 36.190 g
Mass of original sample = 0.830 g
[3] Mass of evaporating dish after subliming NH4Cl(g): 36.550 g
To calculate the mass of NH4Cl(g), we subtract the final mass of the evaporating dish from the initial mass:
Mass of NH4Cl(g) = Mass of evaporating dish - Mass of evaporating dish after subliming NH4Cl(g)
Mass of NH4Cl(g) = 36.190 g - 36.550 g
Mass of NH4Cl(g) = -0.360 g (Note: The negative value indicates an error in measurement or calculation. Please double-check the data provided.)
To calculate the percent of NH4Cl (%), we use the formula:
Percent of NH4Cl = (Mass of NH4Cl(g) / Mass of original sample) * 100
Percent of NH4Cl = (-0.360 g / 0.830 g) * 100
Percent of NH4Cl = -43.37% (Note: The negative value also suggests an error. Please review the data carefully.)
Moving on to the determination of Sodium Chloride:
[4] Mass of evaporating dish #2: 41.63 g
[5] Mass of watch glass: 47.84 g
[6] Mass of evaporating dish #2, watch glass, and NaCl(g): 89.510 g
To calculate the mass of NaCl(g), we subtract the sum of the masses of the evaporating dish #2 and the watch glass from the total mass:
Mass of NaCl(g) = Mass of evaporating dish #2, watch glass, and NaCl(g) - (Mass of evaporating dish #2 + Mass of watch glass)
Mass of NaCl(g) = 89.510 g - (41.63 g + 47.84 g)
Mass of NaCl(g) = 89.510 g - 89.47 g
Mass of NaCl(g) = 0.040 g
To calculate the percent of NaCl (%), we use the formula:
Percent of NaCl = (Mass of NaCl(g) / Mass of original sample) * 100
Percent of NaCl = (0.040 g / 0.830 g) * 100
Percent of NaCl = 4.82%
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Solve for x (Will get brainliest award)
Answer:
X = 21
Step-by-step explanation:
We know that's 90 degrees in total so we add both angles and equal them to 90 to solve for x
x + 4 + 3x + 2 = 90 Combine like terms
4x + 6 = 90
- 6 -6 subtract 6
4x = 84
/4 /4 isolate x
x = 21
Why is the power of 2 called square?
The power of 2 is called a square due to the definition of the area of a square.
What are a square and Power?
A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees. The square's diagonals are also equal and split at a 90-degree angle.
The base number is the factor that is multiplied by itself, and the exponent is the number of times the same base number has been multiplied. Power is defined as a base number raised to the exponent.
The power of two is called a square.
The square function's name derives from the fact that a square with sides of length \(l\) equals \(l^2\) has a significant role to play in the definition of area.
The area is inversely proportional to size: the area of a form that is \(n\) times larger is \(n^2\) times larger.
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The enior cla held in election for cla preident pamela received three vote for every to vote Angela. Pamela received 69 vote how many did Angela
The senior class held an election for class president and the results showed that Pamela received 69 votes while Angela received a number of votes that was in a ratio of 3 to 2 compared to Pamela's votes. This means that for every 3 votes that Pamela received, Angela received 2 votes.
We can use this information to find the number of votes that Angela received. If we divide the number of votes that Pamela received by 3, we get 69/3 = 23 votes. If Angela received 2 votes for every 3 votes that Pamela received, then for every 23 votes that Pamela received, Angela received 2/3 x 23 = 15.33... votes. Since the number of votes is a whole number, we round down to 15 votes.
Therefore, Angela received 15 votes in the election for class president. The results show that Pamela received more votes than Angela and is therefore likely to be elected as the class president.
It is important to note that in an election, the number of votes received by a candidate is a measure of the level of support they have among the voters. The results of the election will have a significant impact on the direction and priorities of the class, as well as the relationship between the class and the school administration.
In conclusion, in the senior class election for class president, Pamela received 69 votes while Angela received 15 votes. The results show that Pamela received a higher number of votes and is likely to be elected as the class president. The outcome of the election will have important implications for the senior class and it is important that the candidates and the voters understand the significance of their votes.
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3 (6x - 1) = 11x - 45
Answer:
x= -6
Step-by-step explanation:
3(6x-1)=11x-45
distribute 3
18x-3=11x-45
7x=-42
x= -6
The length of a rectangular sign is 5 times its width. if the signs perimeter is 36 inches,what is the signs area?
Answer:
length is 15
width is 3
Step-by-step explanation:
3 * 5 is 15
3+3+15+15= 36
the resultant data are: forty mothers have taken the suspected drug during their pregnancies. of these mothers, 35 have delivered malformed infants. in addition, 10 other infants are born with malfunctions. what type of study design is this?
The study is investigating the relationship between the exposure to the suspected drug during pregnancy and the risk
of delivering a malformed infant. This study design is a case-control study design.
The resultant data are: forty mothers have taken the suspected drug during their pregnancies. Of these mothers, 35
have delivered malformed infants. In addition, 10 other infants are born with malfunctions," then the answer would be
as follows:
The type of study design that is described in this scenario is a case-control study design.
A case-control study design is a type of observational study design that compares people with a particular condition
(cases) to people without that condition (controls) to determine whether there is a relationship between the exposure
to a suspected risk factor and the development of the condition.
In this scenario, the cases are the 35 mothers who delivered malformed infants, and the controls are the 5 mothers
who did not deliver malformed infants. The study is investigating the relationship between the exposure to the
suspected drug during pregnancy and the risk of delivering a malformed infant. Therefore, this study design is a case
control study design.
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Please help me please please
you have a deck and you take one card at random and guess what the card is. what is the probability you guess right?
There are 52 cards in the deck and so the probability of guessing the card right is 1/52.
What is probability?Probability is simply the likelihood of something occurring. When we are uncertain about the result of an event, we might discuss the probabilities of several outcomes—how likely they are. Statistics is the study of occurrences guided by probability. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula.
Here,
We can find this probability by seeing that
=1/4×1/13
=1/52
Because there are 52 cards in the deck, the probability of correctly predicting the card is 1/52.
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The area of a circular fountain is 121π square feet.
What is the diameter of the fountain?
Answer:
22 feet
Step-by-step explanation:
The area of a circle is π · r².
So, step one is to figure out the radius, so taking that equation, we can say π · r² = 121π.
Divide both sides by π to get r² = 121
Then, you take the square root of both sides to leave r = 11.
The diameter is twice as long as the radius, so multiply 11 · 2 to get 22.
The diameter is 22 feet long.
Which statement about the transformation is true?
answer is b
Answer: B
Step-by-step explanation:
A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (3,-4). What is the vertex of the function defined as g (x) =f(x+5)?
Answer:
(-2, -4)
Step-by-step explanation:
y = f(x) = ax²+bx +c
given the vertex is (3, -4)
=> the symetry axis: x = 3
x = -b/2a = 3
so, -b = 6a => b = -6a
the function f(x) = x²-6x + 5
g(x) = f(x+5)
g(x) = (x+5)²-6(x+5)+5
g(x) = x²+10x+25-6x-30+5
g(x) = x²+4x
=> a=1, b=4
find the vertex of the function g :
the symetry axis: x= -4/2(1) => x = -2
y = g(-2) = (-2)²+4(-2)= 4-8 = -4
so, the vertex is (-2, -4)
Answer:
(-2, -4)Step-by-step explanation:
Vertex form of a quadratic function:
f(x) = (x - h)² + kWe have (h, k) = (3, -4)
The function f(x) is:
f(x) = (x - 3)² - 4The function g(x) is:
g(x) = f(x + 5) =
(x + 5 - 3)² - 4 =
(x + 2)² - 4
Vertex of g(x) is:
(-2, -4)Water flows through a pipe at a rate of 89 cups per second. Express this rate of flow in gallons per hour.
Name AYSON Copeland
Date
Decoding Domain
1. This November, FFA students are making fruit baskets to sell to
the community to raise money for a trip. Cassie, an FFA student, is
able to make 10 fruit baskets and will sell them for $40 each.
Make a table with possible values for number of baskets and
earnings
Choc
Choose one: Discrete or Continuous
XDomain:
y
Range:
M
Answer:
daddy
Step-by-step explanation: daddy for ever
Use elimination to solve and match each system of equations to the correct solution 5x=15-5y
8y+26=2r Brainliest to the first answer I get
Answer:
40x=120
10r=130
Step-by-step explanation:
8(5x=15-5y)= 40x=120-40y
5(8y+26=2r)= 40y+130=10r
40x=120-40y
10r=130+40y
40x=120
10r=130
This is as far as I could get because the two numbers have two different variables, I couldn't subtract or add. It would be like subtracting apples from oranges... you can't
\(\begin{cases}5x=15-5y\\ 8y+26=2x\end{cases}\\\\\begin{cases}5x+5y=15\\ -2x+8y=-26\end{cases}\\\\\begin{cases}(5x+5y)\cdot2=15\cdot2\\ (-2x+8y)\cdot5=-26\cdot5\end{cases}\)
+ \(\begin{cases}10x+10y=30\\ -10x+40y=-130\end{cases}\) (adding first equation to second)
\(\begin{cases}10x+10y=30\\{}\qquad50y=-100\end{cases}\\\\\begin{cases}10x+10y=30\\{}\qquad y=-2\end{cases}\\\\\begin{cases}10x+10(-2)=30\\y=-2\end{cases}\\\\ \begin{cases}10x-20=30\\y=-2\end{cases}\\\\ \begin{cases}10x=50\\y=-2\end{cases}\\\\ \begin{cases}x=5\\y=-2\end{cases}\)
Let[FN3] A be a Lebesgue measurable set. Note Theorem 2.71 gives a list of properties equivalent to being Lebesgue measurable; use them at will. Prove that sup{∣F∣:F⊂A and F is closed and bounded }=∣A∣. When proving ≥, it may help to consider the cases in which ∣A∣<[infinity] and ∣A∣=[infinity] separately. Suppose A⊂R. Then the following are equivalent: (a) A is Lebesgue measurable. (b) For each ε>0, there exists a closed set F⊂A with ∣A\F∣<ε. (c) There exist closed sets F
1
,F
2
,… contained in A such that ∣A\⋃
k=1
[infinity]
F
k
∣=0. (d) There exists a Borel set B⊂A such that ∣A\B∣=0. (e) For each ε>0, there exists an open set G⊃A such that ∣G\A∣<ε. (f) There exist open sets G
1
,G
2
,… containing A such that ∣(⋂
k=1
[infinity]
G
k
)\A∣=0. (g) There exists a Borel set B⊃A such that ∣B\A∣=0.
The equality sup{∣F∣:F⊂A and F is closed and bounded} = ∣A∣ holds for a Lebesgue measurable set A.
To prove this equality, we need to show that the supremum of the measures of closed and bounded sets contained in A is equal to the measure of A.
First, we prove the "≥" direction. Let ε > 0. By property (b) of Theorem 2.71, there exists a closed set F ⊂ A such that ∣A\F∣ < ε. Since F is closed and bounded, we have ∣F∣ ≤ sup{∣F∣: F ⊂ A and F is closed and bounded}. Therefore, ∣A∣ = ∣A\F∣ + ∣F∣ ≤ ε + sup{∣F∣: F ⊂ A and F is closed and bounded}. Since this holds for all ε > 0, we can conclude that ∣A∣ ≤ sup{∣F∣: F ⊂ A and F is closed and bounded}.
Next, we prove the "≤" direction. By property (a) of Theorem 2.71, A being Lebesgue measurable implies that for each ε > 0, there exists a closed set F ⊂ A such that ∣A\F∣ < ε. Since F is closed and bounded, we have ∣F∣ ≤ sup{∣F∣: F ⊂ A and F is closed and bounded}. Taking the supremum over all such F, we get sup{∣F∣: F ⊂ A and F is closed and bounded} ≤ ∣A\F∣ + ∣F∣ = ∣A∣. Thus, we have shown that sup{∣F∣: F ⊂ A and F is closed and bounded} ≤ ∣A∣.
Combining both directions, we conclude that sup{∣F∣: F ⊂ A and F is closed and bounded} = ∣A∣ for a Lebesgue measurable set A.
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A line is parallel to y=4x-2 and intersects the point (-1, -2) what is the equation of this parallel line?
Answer:
y = 4x + 2
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
(-1056) 3/4
Me pueden ayudar con este ejercicio? Somebody can help me?
Answer:
-792 is this right lmk
Step-by-step explanation:
free fire is one of mugi game
to construct a binomial probability distribution, the mean must be known. true false
False.
The mean of a binomial distribution can be calculated using the formula np, where n is the number of trials and p is the probability of success for each trial. However, knowing the mean is not a requirement to construct a binomial probability distribution.
The distribution can be constructed based solely on the number of trials and the probability of success. The binomial probability formula allows us to calculate the probability of obtaining a specific number of successes in the given trials.
The distribution provides a probability distribution function that describes the likelihood of various outcomes, regardless of whether the mean is known or not.
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Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (â€""3 i) (18 5i)? (â€""3 i) (18 5i) 0 â€""3 (i 18) 5i (â€""3 18) (i 5i) â€""(3 â€"" i) (18 5i).
The expression that demonstrates the use of the commutative property is
(-1 + 18) + (3i + 5i)
Give two integers A and B, according to the commutative law of addition;
A + B = B+ AThe arrangement of the integers does not affect the sum.Given the expression (-1+3i) + (18+5i)
The expression that demonstrates the use of the commutative property of addition in the first step of simplifying the expression is given as:
(-1+3i) + (18+5i)
-1 + 3i + 18 + 5i
(-1 + 18) + (3i + 5i)
We can see that the rearrangement does not affect the sum. Hence the expression that demonstrates the use of the commutative property is
(-1 + 18) + (3i + 5i)
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in a recently published sociology article about transportation patterns, a sociologist studied whether families rely on their own transportation instead of public transportation. let the mean number of cars owned by a family be μ. if the sociologist wanted to know if families own, on average, more than 3 cars, what are the null and alternative hypotheses?
The null hypothesis is \(H_0:\mu=3\) and the alternative hypothesis is \(H_1:\mu > 3\)
There are two hypothesis considered in a statistical test. They are:
Null hypothesis (\(H_0\))Alternative hypothesis (\(H_1\))Formulation of null and alternative hypothesis are considered as the first step of a statistical procedure. The whole procedure, then, continues on testing whether to accept or reject these hypotheses.
Null Hypothesis is the actual hypothesis which is tested. Alternative hypothesis, as its name suggests, is the hypothesis accepted when the null hypothesis is rejected in the test carried out.
Here the sociologist is carrying out the test on the mean number of cars, \(\mu\).
So to check whether the families own more than 3 cars in average,
the null hypothesis will be ,\(\bold{H_0:\mu=3}\)
and the alternate hypothesis will be, \(\bold{H_1:\mu > 3}\)
So if the null hypothesis is rejected, then there is the possibility for only more than 3 cars in average.
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There are 10 different fruits. how many ways are there to group these 10 fruits into 2, 3, and 5 (in the specified order)?
There are 45 ways to group combinations the fruits into pairs, 120 ways to group them into sets of 3, and 252 ways to group them into sets of 5
To determine the number of ways to group 10 different fruits into groups of 2, 3, and 5, we can use the concept of combinations.
Number of ways to group the fruits into 2:
Since we have 10 fruits, we need to choose 2 fruits from the set of 10. The number of ways to do this is given by the combination formula:
C(n, r) = n! / (r!(n-r)!)
where n is the total number of items and r is the number of items to be chosen.
For our case, n = 10 and r = 2:
C(10, 2) = 10! / (2!(10-2)!)
= 10! / (2!8!)
= (10 × 9) / (2 × 1)
= 45
So, there are 45 ways to group the 10 fruits into pairs.
Number of ways to group the fruits into 3:
Similarly, to group the fruits into sets of 3, we use the combination formula with n = 10 and r = 3:
C(10, 3) = 10! / (3!(10-3)!)
= 10! / (3!7!)
= (10 × 9 × 8) / (3 × 2 × 1)
= 120
There are 120 ways to group the fruits into sets of 3.
Number of ways to group the fruits into 5:
Using the same approach, with n = 10 and r = 5:
C(10, 5) = 10! / (5!(10-5)!)
= 10! / (5!5!)
= 252
There are 252 ways to group the fruits into sets of 5.
Therefore, there are 45 ways to group the fruits into pairs, 120 ways to group them into sets of 3, and 252 ways to group them into sets of 5.
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Zina goes shopping. She buys in the same store two scarves and three T-shirts for
49 euros. A week later, it was the sales: reduction of 1.5 euros on scarves and 2 euros
on t-shirts. Zina took the opportunity and for 40 euros, she was able to buy four scarves and five T-shirts.
What was the price of a scarf and a T-shirt before the sales?
THX FOR HELPING!
Answer:
The price of T-shirts before the sale = 42 euros
The price of scarves before the sale = -77/2 euros
Step-by-step explanation:
The cost of the items Zina buys from the store initially are;
Two scarves and three T-shirts for 49 euros
The reduction in the price of scarves a week later during sales = 1.5 euros
The reduction in the price of T-shirts a week later during sales = 2 euros
The items Zina bought for 40 euros at the reduced price of the sales opportunity are;
Four scarves and five T-shirts for 40 euros
Let 'x' represent the initial price of a scarf and let 'y' represent the initial price of a T-shirt, we have;
2·x + 3·y = 49...(1)
4·(x - 1.5) + 5·(y - 2) = 40...(2)
Expanding equation (2) gives;
4·x - 6 + 5·y - 10 = 40
4·x + 5·y = 40 + 6 + 10 = 56
∴ 4·x + 5·y = 56...(3)
By multiplying equation (1) by 2 and subtracting the result from equation (3), we get;
4·x + 5·y - 2 × (2·x + 3·y) = 56 - 2 × 49 = -63
-y = -42
y = 42
The price of T-shirts before the sale = 42 euros
x = (49 - 3 × 42)/2 = -77/2
x = -77/2
The price of scarves before the sale = -77/2 euros
(However, if the had bought the 4 scarves and 5 T-shirts during sales at 70 euros, we get;
The price of T-shirts before the sale = 12 euros
The price of scarves before the sale = 6.5 euros.
The allowable total price for the reduced 4 scarves and 5 T-shirts is between 66 and about 82 for both initial prices to be +ve)
i need help with this
An advertising executive wants to estimate the mean weekly amount of time consumers spend watching television. Based upon previous studies, the standard deviation is assumed to be 18 minutes. The executive wants to estimate, with 95% confidence, the mean weekly amount of time to within 5 minutes. What sample size is needed?
The sample size required is approximately 47. Hence, option B is the correct answer.
Given the standard deviation is assumed to be 18 minutes, the desired margin of error is 5 minutes.
We want to estimate the mean weekly amount of time consumers spend watching television with a 95% confidence level.
The formula for the sample size is as follows:
\([\ Large n=\frac{{Z}^2\cdot {\sigma }^{2}}{E^2}\]\)
where
\(n = sample sizeZ = z-score, i.e., 1.96 (for a 95% confidence level)σ = standard deviation\)
E = margin of error, i.e., 5 minutes
Putting in the values,
\([\begin{aligned}n&= \frac{{(1.96)}^{2}\cdot {(18)}^{2}}{{(5)}^{2}} \\&= 46.6096 \end{aligned}\].\)
Therefore, the sample size required is approximately 47.
Hence, option B is the correct answer.
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