1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olya-2409 [2.1K]
2 years ago
12

You want to estimate the mean number of sentences in a magazine advertisement.How many magazines advertisements must be included

in the sample if you want to be 95% confident that the sample mean is within one sentence of the population mean
Mathematics
1 answer:
saul85 [17]2 years ago
3 0

Complete question:

You want to estimate the mean number of sentences in a magazineadvertisement. How many magazine advertisements must beincluded in the sample if you want to be 95% confident that thesample mean is within 1 sentence of the population mean ? (sigma =5)

Answer:

96

Step-by-step explanation:

We have level of confidence = 95%

Alpha = 1-0.95

= 0.05

Alpha/2 = 0.025

Z-alpha/2 = 1.96

E = margin of error = 1

For this question the formula to derthe sample size is given as:

n = [(Za/2 x sigma)/E]²

n = (1.96 x 5/1)²

n = 9.8²

= 96.04

So 96 magazines advertisement must be included in the sample to be 95% confident.

You might be interested in
Jamie ordered 200 business cards and paid $23. She ordered 500 business cards a few months later and paid $35. Write and solve a
Gnesinka [82]

Answer:

To purchase 700 business cards, Jamie needs to pay $43.

Step-by-step explanation:

We are given that Jamie ordered 200 business cards and paid $23 in total.

We are also given that Jamie ordered 500 business cards and paid $35.

We can use the rate of change formula to find the average change.

\displaystyle \bullet \ \ \ \frac{\triangle y}{\triangle x}

This can also be represented with:

\displaystyle \bullet \ \ \ \frac{y_2-y_1}{x_2-x_1}

Therefore, we need to identify our variables.

In every relationship, there is a <u>dependent variable</u> and an <u>independent variable</u>.

  • The independent variable is the variable that an experimenter adjusts in order to receive an altered effect from an output.
  • The dependent variable is the variable that adjusts based on the changes made to the independent variable.

We change the amount of business cards that are purchased, which in turn, changes the price.

The y-variable is assigned to the dependent variable and the x-variable is assigned to the dependent variable.

Therefore, if we use the coordinate system:

  • (200, 23)
  • (500, 35)

Now, we can name our coordinates. We use this system:

  • (x₁, y₁)
  • (x₂, y₂)

This means that we can name our points:

  • x₁ = 200
  • y₁ = 23
  • x₂ = 500
  • y₂ = 35

Revisiting the rate of change formula, we can insert these values.

\displaystyle \frac{y_2-y_1}{x_2-x_1}

\displaystyle \frac{35 - 23}{500-200}\\\\\frac{12}{300}=\frac{1}{25}

Next, we need to find the y-intercept of our line. We can do this by using one coordinate pair from above and our slope.

The slope-intercept equation is:

\bullet \ \ \ y = mx + b

We already know m:

\displaystyle \bullet \ \ \ \frac{1}{25}

We also know x and y (we take them from of the coordinate pairs):

\bullet \ \ \ x = 200

\bullet \ \ \ y = 23

Now, we can substitute these values into the equation and solve for b.

\displaystyle [y = mx + b]\\\\23 = \frac{1}{25}(200) + b\\\\23 = 8 + b\\\\23 - 8 = 8 - 8 + b\\\\15 = b\\\\b = 15

Now, we can set up our linear equation.

\displaystyle y = \frac{1}{25}x + 15

Therefore, in order to find the price of 700 business cards, we make x in the equation equal 700 and then solve.

\displaystyle y = \frac{1}{25}(700)+15\\\\y = 28 + 15\\\\y = 43

Therefore, the price of 700 business cards is equal to $43.

3 0
3 years ago
after working out for just 8 minutes,ron has burned 56 calories. how many minutes must he work out if he wants to burn 392 calor
dangina [55]
Ron would have to work out 56 minutes to burn 392 calories
7 0
3 years ago
Read 2 more answers
/ has vertices at (–5, 1) and (–3, 7). After a transformation, the image had endpoints at (3, –1) and (5, 5). Describe the trans
Pie
1st point: ( -5+8. 1-2 ) = ( 3, -1 )
2nd point: ( -3+8, 7-2 ) = ( 5, 5 )
Answer: C) translation right 8 units and down 2 units. 
3 0
3 years ago
Over a period of 3 hours, the outside temperature changed an average of -2.250 Fahrenheit per hour. Which statement correctly de
Leona [35]

Answer: A

Step-by-step explanation: The question states that the change wasn't a positive one, it was a negative one as it states that the temperature changed an average of -2.250 Fahrenheit per hour. So, we multiply that by 3 to get -6.75. This is why A is correct.

7 0
2 years ago
Maya thinks there are twice as many players in the league with more than 4 years of experience than there are players with less
iragen [17]
Sorry don’t now the answer to this problem
6 0
3 years ago
Other questions:
  • Pls help me on numbers 8 and 9 AND SHOW ME HOW U DID IT
    5·2 answers
  • Find the SUM on a compound interest basis on $10,000 for 2 years at 7% pa (with explanation)
    11·1 answer
  • Mr. Smith offered to stay after school for an extra help session. The day after the
    15·1 answer
  • A company can make 500 screws in 4 seconds. What is the number of screws the company can make in 1 minute?
    5·2 answers
  • Marcus is selling t-shirts at the State Fair. He brings 200 shirts to sell. He has long sleeve and short sleeved T-shirts for sa
    15·2 answers
  • How do you write " h ft above sea level" and "d dollars for b books" in an expression
    5·1 answer
  • A shirt that normally costs $30 is on sale for $21.75. What percent of the regular price is the sale price?
    15·1 answer
  • Is anyone who is Asian tell me how to make rice that not to over cook and not undercook in a rice cooker
    15·2 answers
  • Section 1 - Question 9
    13·1 answer
  • Suppose you are driving. You notice that after driving for 4 hours, you are 135 miles from Seattle. You continue driving, and ca
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!