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Vsevolod [243]
3 years ago
7

6. A survey for brand recognition is done and it is determined that 68% of consumers have heard of Dull Computer Company. A surv

ey of 800 randomly selected consumers is to be conducted. For such groups of 800, would it be unusual to get 568 consumers who recognize the Dull Computer Company name? Find the mean and standard deviation to answer this question. Must show work and explain why or why not.
Mathematics
1 answer:
Svetllana [295]3 years ago
3 0

Given Information:

Population = n = 800

Probability = p = 68% = 0.68

Answer:

We can say with 68% confidence that 568 lies in the range of (518, 570) therefore, it would not be unusual to get 568 consumers who recognize the Dull Computer Company name.

Step-by-step explanation:

Let us first find out the mean and standard deviation.

mean = μ = np

μ = 800*0.68

μ = 544

standard deviation = σ = √np(1-p)

σ = √800*0.68(1-0.68)

σ = 13.2

we know that 68% of data fall within 2 standard deviations from the mean

μ ± 2σ = 544-2*13.2, 544+2*13.2

μ ± 2σ = 544-26.4 , 544+26.4

μ ± 2σ =  517.6, 570.4

μ ± 2σ = 518, 570

We can say with 68% confidence that 568 lies in the range of (518, 570) therefore, it would not be unusual to get 568 consumers who recognize the Dull Computer Company name.

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I need help on this question
Pavel [41]

4.2% means 0.042 .

4.2% more than some amount is 1.042 of it.

Interest compounded annually means that a year after you deposit some money
into your bank account, the bank looks to see how much of your money has been
there for a year, and they add  4.2%  of that into your account.  Another way to
look at it is that they change the balance in your account, from the amount it was
a year ago, to  1.042  of that amount. That's right. They just <u>give</u> you free money !

Why that's so good is:  Now the new amount in your account is  1.042  of
the amount you originally deposited, and after another year, they'll give you
another  4.2%  of <em><u>that</u></em> larger amount. Then you'll have  (1.042)² = about  <em><u>
8.6% more</u></em><em /> than your original deposit, 2 years earlier.

At the end of any number of years ... call it 't' years ... the amount in your
account is the amount you deposited, multiplied by  (1.042)^'t' power.

If you just put some money into this particular bank, and forget about it
and never touch it, you'll have <em><u>double</u></em> the amount in 17 years.

Now we can go and take care of Rhonda.

She put $3000 into a new account at the the bank, and then she forgot
about it and never touched it. How much is in that account after 't' years ?
The amount that's in that account at any time is called the 'balance'.
How much is it after 't' years ?

         <em>  Balance = 3,000 (1.042)^'t' power .</em>


5 0
3 years ago
Please help me it’s due today
balu736 [363]
The answer should be 15 times 9 equals four
3 0
3 years ago
A culture started with 5000 bacteria. after 7 hours, it grew to 6500 bacteria. predict how many bacteria will be present after 1
spin [16.1K]

6500=7x+5000

6500-5000=7x+5000-5000

1500=7x

1500/7≈214

x≈214

y=19·214+5000

y=9066

answer=9066 bacteria

4 0
3 years ago
Doug bought a new car for 25,
pentagon [3]
This is exponential decay which can be expressed as:

y=ab^t, y=final value, a=initial value, b=rate, t=time

In this case a=25000, r=(100-20)/100=0.8 so

y=25000(0.8^t), so in 4.5 years...

y=25000(0.8^4.5)

y≈$9158.93  (to nearest cent)
3 0
3 years ago
Read 2 more answers
Select the correct answer.
nydimaria [60]

Answer:

It is CD

Step-by-step explanation:

because 300+200=500, juts times it by 3 and divide

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2 years ago
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