One researcher wishes to estimate the mean number of hours that high school students spend watching tv on a weekday. a margin of error of 0.23 hour is desired. past studies suggest that a population standard deviation of 1.9 hours is reasonable. estimate the minimum sample size required to estimate the population mean with the stated accuracy.

Answers

Answer 1

Margin of error, e = Z*SD/Sqrt (N), where N = Sample population

Assuming a 95% confidence interval and substituting all the values;
At 95% confidence, Z = 1.96

Therefore,
0.23 = 1.96*1.9/Sqrt (N)

Sqrt (N) = 1.96*1.9/0.23

N = (1.96*1.9/0.23)^2 = 262.16 ≈ 263

Minimum sample size required is 263 students.

Answer 2

Answer:the answer is 236 students

Step-by-step explanation:

Related Questions

On the trip you and your friends stop for gas and decide to drinks 1.05, and snacks, which are 2.20, if they spend a maximum of 25$ and wish to buy at least 12 items , write a system of inequalities that show the range of drinks and snacks you can buy with 25.00, 2 inequalities are needed, and a data table for each

Answers

To be able to answer this item, we let x be the number of drinks bought. Similarly, we may represent the number of snacks by the variable y. The sum of the number of drinks and snacks bought should not be more than 12. This can be represented through the inequality,

x + y ≤ 12

Furthermore, the total amount spent would be equal to the sum of the products of the number of the cost of each as represented in the inequality below.

1.05x + 2.2y ≤ 25

The half-life of cobalt-60 is 5.20 yr. how many milligrams of a 2.000-mg sample remains after 6.55 years?

Answers

Answer:

0.835 mg of a 2.000-mg sample remains after 6.55 years.

Step-by-step explanation:

We are given that The half-life of cobalt-60 is 5.20 yr.

Formula of half life : [tex]N(t) = N(0)e^{\frac{-0.693t}{t\frac{1}{2}}}[/tex]

Where N(0) = Initial amount

N(t) = Quantity remaining after time

t = time

[tex]\frac{t}{2} =\text{half life}[/tex]

So, N(0) = Initial amount = 2 mg

t = time = 6.55 years

[tex]\frac{t}{2} =\text{half life} = 5.20 yr [/tex]

Substitute the values in the formula

Therefore,

[tex]N(t) = 2 e^{\frac{-0.693 \times 6.55}{5.20}}[/tex]

[tex]N(t) =0.835[/tex]

Hence 0.835 mg of a 2.000-mg sample remains after 6.55 years.

please help with this word problem

Answers

The Pythagorean theorem is useful for finding the hypotenuse of a right triangle when you know the side lengths.
(corner to top)² = (113 m)² +(188 m)²
(corner to top)² = 48,113 m²
Then, taking the square root, we find ...
(corner to top) = √(48,113 m²)
(corner to top) ≈ 219 m

The distance from the corner of the base to the top of the pyramid was about ...
219 m

Josiah has a piece of wood that measures 10 1 / 8 feet he wants to make 5 shelves if each shelf is 1 3/4 fuel long does he have enough to make 5 shelves explain

Answers

To answer, I'm assuming "fuel long" means "feet long"
To find the amount of feet to make 5 shelves, we must multiply the amount to make one shelf by 5
1.75 * 5 = 8.75
(1.75 is the decimal form for one shelf)
Because 8.75 is less than 10, he has enough to make 5 shelves

what is the answer for this math question

Answers

1/10÷2/3=KCF (keep,change,flip)
1/10×3/2=3/20 cups
0.15=15%=3/20 as decimal*percent

what is the value of the expression 8.5 - 10.2 + -7.4

Answers

First, subtract 10.2 from 8.5
8.5 - 10.2 = -1.7
Next, add -7.4 to -1.7
-7.4 (+) - 1.7 = -9.1
Your final answer is -9.1

Answer: −9.1

Step-by-step explanation:

8.5−10.2−7.4

=−1.7−7.4

=−9.1

PLEASE MARK BRAINLIEST

hey can you please help me posted picture of question

Answers

We can determine the correct graph by finding its roots

x² - 4x - 12 = 0

x² - 6x + 2x - 12 = 0

x(x-6) +2(x-6) = 0

(x+2)(x-6) = 0

This means the roots of the function are x=-2, and x=6 and the graph will cross x axis at these two points. From the given graphs, the graph B seems to cross these points.

So the answer to this question is option B

5 ln ( x + 8 ) solve the equation for x

Answers

You have not given an equation.

If we make it an equation, then we can solve for x.
a = 5*ln(x +8)
a/5 = ln(x +8) . . . . . . . divide by 5
e^(a/5) = x +8 . . . . . . take the antilog
e^(a/5) -8 = x . . . . . . . subtract 8

If your expression is equal to "a", then x is ...
x = e^(a/5) -8

Lesson 6.04 in this lesson you will: 1. write the introdcution paragraph for your argument using the same topic you chose and researched in lesson 6.02.

Answers

Final answer:

The introduction paragraph should start with an opening statement introducing your chosen topic and providing some context, followed by your thesis statement that clearly states your argument. The given example shows how to create an introduction paragraph for an argument on 'Climate Change'.

Explanation:

In order to write the introduction paragraph for your argument, first remember your chosen topic from lesson 6.02. Your opening statement must introduce the topic and provide some general context about it. For instance, if your topic is 'Climate Change', then your introductory paragraph might start like this:

'In today's rapidly changing world, one issue that stands in prominence is climate change. During the last century, human activities have accelerated this process unnaturally, leading to unpredictable weather and extreme disasters.'

Then present your thesis statement that clearly expresses your stance on the issue. It could be something like:

'This essay aims to argue that proactive international cooperation is crucial in mitigating the detrimental effects of climate change.'

Make sure this paragraph is captivating and clear as it sets the tone for the rest of your essay.

Learn more about argument introduction here:

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QF Q3c.) Find the following function

Answers

g(0) = 5×0² -3 = -3

f(-3) = 4(-3) -3 = -15

(f◦g)(0) = f(g(0)) = -15

Marcus is selling lemonade in peanuts each cup of lemonade cost $0.75 in each bag of peanuts cost $0.35 on Saturday market so 5 more cups of lemonade then bags of peanuts here in $7.05 how many cups of lemonade did Marcus sell on Saturday

Answers

Let L represent the number of cups of lemonade that Marcus sold. Then his revenue can be described by ...
0.75L + 0.35(L -5) = 7.05
1.10L -1.75 = 7.05 . . . . . . . . . . eliminate parentheses
1.10L = 8.80 . . . . . . . . . . . . . . .add 1.75
L = 8 . . . . . . . . . . . . . . . . . . . . .divide by 1.10

Marcus sold 8 cups of lemonade on Saturday.

stuffed animals each weigh 1/4 pound are on a scale. the scale shows 1 1/2 pounds how many stuffend animals are on the scale

Answers

First, let's turn it into decimal form:
0.25 and 1.5
To figure this out, we divide:
1.5/0.25
6
There are 6 stuffed animals on the scale.

Answer: The answer is: 6

Step-by-step explanation: I have my ways ;>

Have a nice day!

-Sunny

The number n of aluminum cans used each year is directly proportional to the number of people using the cans. if 250 people use 60,000 cans in one year, how many cans are used each year in dallas, which has a population of 1,008,000.

Answers

The answer is: " 241,920,000 cans " .
________________________________________________________

Explanation:
_______________________________________________________

(60,000) / (250) = "n" / (1,008,000) ;

Solve for "n" ; {number of cans used each year in Dallas} ;

(250) n = (60,000)(1,008,000) ;

Divide each side of the equation by "250" ;
to isolate "n" on one side of the equation; & to solve for "n" ;

→ { (250) n} / 250 = [ (60,000)(1,008,000) ] / 250 ;

to get:

→ n = (60,480,000,000) / (250) ;

→ n = 241,920,000
________________________________________________________
The answer is: " 241,920,000 cans " .
________________________________________________________

$1,000 is invested at a rate of 3.25%, compounded annually. Identify the compound interest function that models the situation. Then find the balance after 8 years.

Answers

The compound interest formula is given by:
A=P(1+r)^n
P=principle
r=rate
n=time

But:
P=$1000, r=3.25%, n=time
thus the function representing this will be:
A=1000(1+3.25/100)^n
A=1000(1.0325)^n
Thus the amount after 8 years will be:
A=1000(1.0325)^8
A=1,291.58
ANSWER: 1,291.58

hello can you please help me posted picture of question

Answers

The answer is Letter C - 1/2,775

The probability of choosing one of them is 2 out of 75 while the probability of choosing the other one is 1 out of 74. 74 band members, not counting the other person (you or your bother).

Computation:
P = 2 / 75 * 1 / 74
= 0.0266... * 0.01351...
= 1 / 2,775
You can also multiply 75 with 74 to get a total of 5,550 then divide it by 2 students to be selected to get 2,775. Meaning one out of 2,775 possibilities.

Randy buys a pair of shoes that were originally priced at $147. He receives a 35% discount and pays 8.5% sales tax. How much does Randy pay? (Work shown)

Answers

Begin by subtracting 35% from 100%, giving 65% which is equivalent to 0.65
Then multiply
147 * 0.67 = 98.49
Now for a sales tax you would want to multiply by 108.5% (or 1.085) as you are paying the previous price and them some
98.49 * 1.085 = 106.86165
You can round to the second decimal place since you can't have a monetary value less than a penny
your answer would be $106.86

Answer: $103.67

Step-by-step explanation:

Based on the given conditions, formulate: 147 x (8.5% + 1) x (1 - 35%)

Calculate the sum or difference: 147 x 1.085 x (1 - 0.35)

Calculate the sum or difference: 147 x 1.085 x 0.65

Calculate the product or quotient: 159.495 x 0.65

Calculate the product or quotient: 103.67175

Round: 103.67

Answer: $103.67

In how many ways can 6 people be selected from 7 men and 8 women if the selection must have a majority of women?

Answers

Number of men = 7
Number of women = 8
Number of people to be selected = 6
Condition: Women must be majority

Options: 6 women, 0 men; 5 women, 1 man; 4 women, 2 men

Number of ways = [(8C6)*(7C0)]+[(8C5)*(7C1)]+[(8C4)*(7C2)] = 28+392+1470 = 1890 ways

What are the next three terms in the sequence? -6,5,16,27, ...

A.38, 49, 60
B.37, 47, 57
C.36, 45, 54
D.36, 46, 56

Answers

The sequence is +11 for every number, so it would be A

The next three terms of the given sequence are 38, 49, and 60. The correct option is A.38, 49, 60

Linear sequence

From the question, we are to determine the next three terms in the given sequence

The given sequence is

-6,5,16,27, ...

From the given sequence, we can observe that the common difference of the sequence is 11

That is,

5 - -6 = 5 + 6 = 11

16 - 5 = 11

27 - 16 = 11

Thus, the next term after 27 will be

27 + 11 = 38

The next one will be

38 + 11 = 49

The next one will be

49 + 11 = 60

Hence, the next three terms of the given sequence are 38, 49, and 60. The correct option is A.38, 49, 60

Learn more on Linear sequence here: https://brainly.com/question/24608344

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how to multiply fractions

Answers

Hey there!

Question: How to multiply fractions?

Answer: well, in order to multiply fractions, you need to simply the particular fraction with the lowest terms (if they have any of course), then we multiply our numerators from each other so we can get a brand new numerator. (you do the same thing with denominators.

Example:

[tex] \frac{6}{8} ( \frac{6}{7} ) \\ \\ \frac{6(6)}{8(7)} \\ \\ 6(6) =36 \\ \\ 8(7) = 56 \\ \\ \\ Answer: \frac{36}{54}[/tex]

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

Hello There!

To multiply fractions, you first want to line up the numerator and the denominator together so they line up with each other.

Next, you want to multiply across. This includes multiplying the numerators together and then multiplying the denominators together.

Finally, you want to find the greatest common factor but only if the fraction can be simplified.

That Is How To Multiply Fractions

what is the maximum for
f(x)= 625-16x^2

Answers

The maximum is x=3.42

a dump truck weighs 11.25 tons. a conveyor belt pours sand into the truck at a constant rate of 1/4 ton per minute. the dump truck weighs 18 tons when filled. at the same time the dump truck is being filled, an identical truck filled to capacity is being emptied at a rate of 1/8 ton per minute. how much sand is in each dump truck when the trucks are the same weight?

Answers

We know these variables:

W1B = Weight of the truck 1 before starting the filling.
W1A = Weight of the truck 1 when filled.
R1F = Rate of change (Truck 1 being filled)

W2B = Weight of the truck 2 before starting the filling.
W2A = Weight of the truck 2 when filled.
R2F = Rate of change (Truck 2 being filled)

Given that a conveyor belt pours sand into the truck and stops when filled, then the amount of sand, when the truck is filled to capacity, is:

[tex]S = W_{1B} - W_{1A} = 18-11.25 = 6.75Tons[/tex]

Let's analyze Truck 1:

Given that the rate of change is:

[tex] \frac{1}{4} ton/min[/tex]

This means that in 1min the amount of sound poured is 1/4Ton, then the time elapsed when filled using rule of three is:

[tex]t = \frac{6.75}{ \frac{1}{4} } = 27min[/tex]

A similar analysis happens with Truck 2:

Given that the rate of change is:

[tex] \frac{1}{8} ton/min[/tex]

Then:

[tex]t = \frac{6.75}{ \frac{1}{8}} = 54min[/tex]

Now we can find two straight lines:

Truck 1:

[tex]\left \{ {{t=0min} \atop {S=0Ton}} \right. [/tex]

[tex] \left \{ {{t=27min} \atop {S=6,75Ton} \right[/tex]

[tex]S-S_{0} = m(t-t_{0})[/tex]

[tex]S-0 = \frac{6.75-0}{27-0} (t-0)[/tex]

∴ [tex]S = 0.25t[/tex]

Truck 2:

[tex] \left \{ {{t=0min} \atop {S=6.75Ton}} \right[/tex]

[tex] \left \{ {{t=54min} \atop {S=0Ton}} \right[/tex]

[tex]S-S_{0} = m(t-t_{0})[/tex]

[tex]S-6.75 = \frac{6.75-0}{0-54} (t-0)[/tex]

∴ [tex]S = -0.125t+6.75[/tex]

The trucks are the same weight when they have the same amount of sand, so solving for t:

[tex]0.25t = -0.125t+6.75[/tex]
[tex]0.375t = 6.75[/tex]
[tex]t = 18min[/tex]

Finally, the amount of sand in each truck:

[tex]S = 0.25(18) = 4.5Ton [/tex]

Final answer:

To find out how much sand is in each dump truck when they are the same weight, we can set up an equation based on the given information. Let's assume that the amount of sand in the first truck is x tons. We can then find the value of t that makes the weight of both trucks the same and substitute it into the equation to find x.

Explanation:

To find out how much sand is in each dump truck when they are the same weight, we can set up an equation based on the given information.

Let's assume that the amount of sand in the first truck is x tons. Since the conveyor belt pours sand into the truck at a constant rate of 1/4 ton per minute, the weight of the sand will increase by (1/4) * t tons, where t is the time in minutes.

Similarly, the second truck is being emptied at a rate of 1/8 ton per minute. So, the weight of sand in the second truck will decrease by (1/8) * t tons.

We know that the dump truck weighs 11.25 tons initially and 18 tons when filled. Therefore, we can set up the equation:

11.25 + (1/4) * t - (1/8) * t = 18 - x

Simplifying the equation:

(1/4) * t - (1/8) * t = 18 - 11.25 - x

(1/8) * t = 6.75 - x

t = 6.75 * 8 - 8x

Now, we need to find the value of t that makes the weight of both trucks the same. Let's substitute that value into the equation to find x.

Of all rectangles with area 9 which one has the minimum perimeter

Answers

A 3x3 rectangle would be the smallest it could get

the price of a video game was reduced from $60 to $45.by what percentage was the price of video Gamers reduced

Answers

So, we need to see what multiplied by 60 equals 45.

Equation wise:

60x = 45

Divide both sides by 60:

x = 45 / 60

0.75

But, we need to find the percent reduced,
so it will be:

1 - 0.75
0.25
25%

Hope this helps!

25% would be the answer

Identify the random variable as discrete or continuous: number of passengers in a car that enters a uh parking garage.

Answers

There can only be integer number of passengers. We cannot have 1.372 passengers in a car, so that would be discrete random variable.

A straight line has the equation 2y-8x=5x-12. If point C, (4, n) lies on this straight line, find n.

Answers

we have that
2y-8x=5x-12----> 2y=13x-12

we know that
If point C, (4, n) lies on this straight line
so
in the straight line
for x=4
the value of y must be n
2y=13x-12-----> 2y=13*4-12----> 2y=52-12----> 2y=40----> y=20

the value of n must be 20

the answer is
n is 20

find the are of each circle round nearest tenth use 3.14 11ft

Answers

The area is 379.94 ft²

Kris wanted to understand whether students at her school were in favor of an extended school day. She surveyed some students and displayed the results in the table below: In favor Opposed Undecided Grade 9 6 4 8 Grade 10 10 11 9 Grade 11 12 15 11 Grade 12 15 6 14 If the principal randomly selects a student in grade 10 from this survey, what is the probability that the student is opposed to extending the school day? (1 point) Question 9 options: 1) 0.09 2) 0.29 3) 0.30 4) 0.37

Answers

Option D is correct (.37) Hope this helps!

Answer:

4) 0.37

Step-by-step explanation:

If the principal randomly selects a student in grade 10 from this survey, the probability that the student is opposed to extending the school day is a division of the number of students that opposed from 10 Grade by the total number of students of the 10 Grade.

The table of the question is as:

Grade In favor Opposed Undecided

9 6 4 8

10 10 11 9

11 12 15 11

12 15 6 14

So, there are 10 students in 10 grade that are in favor of the extended school day, 11 students that are Opposed and 9 students that are undecided about the extended school day. then, there are 30 student in 10 Grade

Then, the probability is:

[tex]\frac{11}{10+11+9} =\frac{11}{30}=0.37[/tex]

Determine whether the series is convergent or divergent by expressing sn as a telescoping sum. ∞ 4 n(n + 2) n = 1

Answers

Nothing more can be done to this equation as far as I know

∞ 4n(n +2)n = 1

What is the 95% confidence interval for the mean life expectancy in the entire population of siberian tigers? (use the t-test to answer the question)?

Answers

The 95% confiednce interval is 5-3.

How do I find the hypotenuse of a triangle when given 90 degrees and one side length?

Answers

You need one more fact either an angle or a side in order to be able to answer. I take it you have neither. But there must be something more you can tell us from the question. List the question exactly as it is asked with a diagram if necessary. I'll follow and use either comments or I'll edit.

The direct answer to your question is that you can't.

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