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nordsb [41]
2 years ago
11

In a​ poll, adults in a region were asked about their online vs.​ in-store clothes shopping. One finding was that ​% of responde

nts never​ clothes-shop online. Find and interpret a ​% confidence interval for the proportion of all adults in the region who never​ clothes-shop online.
Mathematics
1 answer:
White raven [17]2 years ago
7 0

The question is incomplete. The complete question is :

In a​ poll, 1100 adults in a region were asked about their online vs.​ in-store clothes shopping. One finding was that 43​% of respondents never​ clothes-shop online. Find and interpret a ​95% confidence interval for the proportion of all adults in the region who never​ clothes-shop online.

Solution :

95% confidence interval for p is :

$\hat p - Z_{\alpha/2}\times \sqrt{\frac{\hat p(1-\hat p)}{n}} < p < \hat p + Z_{\alpha/2}\times \sqrt{\frac{\hat p(1-\hat p)}{n}}$

$0.43 - 1.96\times \sqrt{\frac{0.43(1-0.43)}{1100}} < p < 0.43 + 1.96\times \sqrt{\frac{0.43(1-0.43)}{1100}}$

0.401 < p < 0.459

Therefore, 95% confidence interval is from 0.401 to 0.459

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Ted and Jude are each saving money each month. After x months, the amount of money, in dollars, that Ted has saved is represente
Nadusha1986 [10]

Answer:

True Statements are -

B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.

D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.

Step-by-step explanation:

Given - Ted and Jude are each saving money each month. After x months, the amount of money, in dollars, that Ted has saved is represented by the

equation T = 40x, and the amount of money that Jude has saved is represented by the equation J = 60x.

To find - Choose all of the statements that are true.

A. Each month, Jude saves two-thirds as much money as Ted saves.

B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.

C. The amount of money Jude saves each month is $20 more than the amount Ted saves each month.

D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.

Proof -

Given that,

After x months,

Ted saved the amount of money, T(x) = 40x

Jude saved the amount of money, J(x) = 60x

Now,

In 1 month,

Ted saved money, T(1) = 40(1) = 40

Jude saved money, J(1) = 60(1) = 60

So,

In 1st month, Jude saved money 20 more than Ted saved.

Now,

In 2 month,

Ted saved money, T(2) = 40(2) = 80

Jude saved money, J(2) = 60(2) = 120

So,

In 2nd month, Jude saved money 40 more than Ted saved.

Now,

In 3 month,

Ted saved money, T(3) = 40(3) = 120

Jude saved money, J(3) = 60(3) = 180

So,

In 3rd month, Jude saved money 60 more than Ted saved.

So,

Option C is incorrect

Because

In 1st month, Jude saves  is $20 more than the amount Ted saves

In 2nd month, Jude saves  is $40 more than the amount Ted saves

Now,

In 1st month,

Ted saves = 40

and

\frac{2}{3}(40) = 26.67

So, Jude will save = 40 + 26.67 = 66.67

But Jude saves 60

So,

Option A is incorrect.

i.e. A. Each month, Jude saves two-thirds as much money as Ted saves.

Now,

We can see that,

In 3 months, Ted will have saved the money = 120

In 2 months, Jude will have saved the money = 120

So,

Option B is correct.

i.e. B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.

Also,

We can see that

In 1st month, Jude saved money 20 more than Ted saved.

In 2nd month, Jude saved money 40 more than Ted saved.

In 3rd month, Jude saved money 60 more than Ted saved.

So,

Option D is correct.

i.e. D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.

∴ we get

True Statements are -

B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.

D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.

7 0
2 years ago
What is the missing length​
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Answer:

so this is trapezoid

Step-by-step explanation:

the missing length would be the height means "a"

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Subtract 8 from 10, then add n to the result
ohaa [14]

Answer:

(10-8) + n

Step-by-step explanation:

Good luck with your work!

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2 years ago
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Harper deposited $110 into a savings account that earns 3.5% interest a year. The function (R)t models the amount of money Raymo
schepotkina [342]

Answer:

  A.  $2.26

Step-by-step explanation:

An equation for Harper's balance can be written similar to the one written for Raymond's balance. It will be ...

  H(t) = 110(1.035)^t

For t = 2, the two balances will be ...

  H(2) = 110(1.035^2) = 117.83

  R(2) = 110(1.025^2) = 115.57

The difference is ...

  $117.83 -115.57 = $2.26

Harper's account will have $2.26 more.

_____

As a quick estimate or sanity check, you can see that Harper's interest rate is 1% more than Raymond's. So, in 2 years, he will earn a little more than 2% more on his investment than Raymond earns. 2% of $110 is $2.20, so the difference can be expected to be slightly more than this.

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3 years ago
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