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laila [671]
3 years ago
9

The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 33

who smoke. Step 1 of 2: Suppose a sample of 1267 Americans over 33 is drawn. Of these people, 913 don't smoke. Using the data, estimate the proportion of Americans over 33 who smoke. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Mathematics
1 answer:
Tpy6a [65]3 years ago
7 0

Answer:

The estimate for the proportion of Americans over 33 who smoke is 0.28.

Step-by-step explanation:

Proportion of Americans over 33 who smoke.

Number who smoke divided by the size of the sample.

In this question:

Sample of 1267.

913 don't smoke, so 1267 - 913 = 354 smoke. Then

p = \frac{354}{1267} = 0.28

The estimate for the proportion of Americans over 33 who smoke is 0.28.

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At a particular restaurant, 62% of all customers order an appetizer and 41% of all customers order dessert. If 69% of all custom
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Answer:

In terms of probablity (A - appetizer oredered, B - desert ordered)

P(A)=63%

P(B)=40%

P(AorB)=76%.

Using the formula:

P(AorB)=P(A)+P(B)-P(A&B) we get P(A&B)=63%+40%-76%=27% (probability we were looking for).

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Sonia earned $2,100 at her uncle's orchard. If she worked for 70 weeks and earned the same amount of money each week, how much d
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30

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She earned 30$ a week(Brainlyest?)

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A surfboard costs $240. The sales tax on a surfboard is $12. What is the percent in sales tax?
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3 years ago
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Consider the parent function f(x) = x^2 and the transformed function f(x) =- 5(x - 4)^2 – 8. Identify the
madam [21]

Given:

The parent function is

f(x)=x^2

Consider the transformed function is g(x) instead of f(x) because both functions are different.

g(x)=-5(x-4)^2-8

Step-by-step explanation:

We have,

f(x)=x^2

g(x)=-5(x-4)^2-8

It can be written as

g(x)=-5f(x-4)-8            ...(i)

The translation is defined as

g(x)=kf(x+a)+b                .... (ii)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<|k|<1, then the graph compressed vertically by factor k and if |k|>1, then the graph stretch vertically by factor k.

If k is negative, then f(x) is reflected across the x-axis to get g(x).

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (i) and (ii), we get

a=-4, f(x) shifts 4 units right.

b=-8, f(x) shifts 8 units down.

k=-5, it is negative so f(x) reflected across the x-axis.

|k|=|-5|=5>1, so f(x) stretched vertically by factor 5.

Therefore, the function f(x) reflected across the x-axis, stretched vertically by factor 5 and shifted 4 units right 8 units down to get g(x).

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