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sergejj [24]
3 years ago
9

The brand manager for a brand toothpaste must plan a campaign designed to increase brand recognition. He wants to first determin

e the percentage of adults Wii have heard of the brand. How many adults must he survey in order to be 90%confident that hiss estimate is within five percentage points off the true population percentage?
Mathematics
1 answer:
bulgar [2K]3 years ago
3 0

We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, Z_{Critical}=1.645.

We also know that E=5% or E=0.05

Also, since, \hat{p} is not given, we will assume that \hat{p}=0.5. This is because, the formula that we use will have \hat{p}(1-\hat{p}) in the expression and that will be maximum only when \hat{p}=0.5. (For any other value of \hat{p}, we will get a value less than 0.25. For example if, \hat{p} is 0.4, then 1-\hat{p}=0.6 and thus, \hat{p}(1-\hat{p})=0.24.).

We will now use the formula

n=(\frac{Z_{Critical}}{E})^2\hat{p}(1-\hat{p})

We will now substitute all the data that we have and we will get

n=(\frac{1.645}{0.05})^2\times0.5(1-0.5)

n=(32.9)^2\times0.25

n=270.6025

which can approximated to n=271.

So, the brand manager needs a sample size of 271

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A) 7<br><br> b) 13<br><br> c) 17<br><br> d) 23
wolverine [178]

Answer:

298-275 = 23 cm thus D) is the answer

Step-by-step explanation:

First Box:

length l = 9.5 cm

width w = 5 cm

height h = 7 cm

diagonal d = 12.8160056 cm

total surface area S_tot = 298 cm2

lateral surface area S_lat = 203 cm2

top surface area S_top = 47.5 cm²

bottom surface area S_bot = 47.5 cm²

volume V = 332.5 cm³

Second Box:

length l = 7.5 cm

width w = 5 cm

height h = 8 cm

diagonal d = 12.0519708 cm

total surface area S_tot = 275 cm²

lateral surface area S_lat = 200 cm²

top surface area S_top = 37.5 cm²

bottom surface area S_bot = 37.5 cm²

volume V = 300 cm³

7 0
4 years ago
Plz someone help I will mark brainlest diameter is 8.8 yd​
sweet [91]

Answer:

60.79 square yards.

Step-by-step explanation:

d = 2r; d = 8.8.

8.8 = 2r

r = 8.8 / 2

r = 4.4 yards.

Since we now have the radius, we can find the area of the circle, which can be found using πr^2, or 3.14 * r^2.

4.4^2 * 3.14 = 19.36 * 3.14 = 60.7904.

Since the question tells us to round to the nearest hundredth, our final answer will be 60.79 square yards.

Hope this helps!

5 0
3 years ago
The following are the ages (years) of 5 people in a room:
kiruha [24]
Answer:

Explanation:

Let x be the age of the person who enter the room

(18 + 25 + 18 + 21 + 16 + x)/6 = 25
(77 + x)/6 = 25
77 + x = 25(6)
77 + x = 150
x = 150 - 77
x = 73
4 0
3 years ago
Two sides of a triangle have measures 3 ft. and 6 ft. Also, these sides form a vertex whose angle measures 60 degrees. Calculate
Tanya [424]

Answer:

c² = 3² +6² - 2⋅3⋅6⋅cos 60

c = 27ft

Step-by-step explanation:

Since the angle is located in  between the sides of the sides, we will use the cosine rule to get the unknown sides

Let c be the missing sides

According to the cosine rule;

c² = a²+ b² - 2abcosC

c² = 3² +6² - 2⋅3⋅6⋅cos 60

c² = 9 + 36 - 36cos60

c² = 45 - 36cos60

c² = 45 - 36(0.5)

c² = 45 - 18

c² = 27ft

Hence the missing attribute is 27ft and the required expression is c² = 3² +6² - 2⋅3⋅6⋅cos 60

8 0
3 years ago
A line segment has the endpoints (2 -5) and (-1 -1) what is its slope?
Ganezh [65]
I believe,
since... slope = (y2-y1)/(x2-x1)
so... slope = (-1+5)/(-1-2)
slope = (4)/(-3) or.. -.75
3 0
3 years ago
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