Write in words 12.9+8 .

A recent national survey indicated that 73 percent of respondents try to include locally grown foods in their diets. A 95 percen

lilavasa [31]

Answer:

Correct option is:

"Less than 75% of all people in the country try to include locally grown foods in their diets."

Step-by-step explanation:

A hypothesis for the proportion of people who include locally grown foods in their diets can be defined as:

H₀: The proportion of people who include locally grown foods in their diets is p.

Hₐ: The proportion of people who include locally grown foods in their diets is difference from p.

The decision rule can be based on the 95% confidence interval.

If the confidence interval consists the hypothetical value of the true proportion then the null hypothesis will be accepted or else the null hypothesis will be rejected.

The 95% confidence interval for the proportion of all people in the country who try to include locally grown foods in their diets is given as (0.70, 0.76).

This interval implies that there is 0.95 probability that the true proportion of people who include locally grown foods in their diets is between 70% and 76%.

Assuming that the claim made was supported by the 95% confidence interval.

The claim should be:

Less than 75% of all people in the country try to include locally grown foods in their diets.

Because the 95% confidence interval defines the range of the true proportion as 70% to 76%. Most of the values are below 75%.

Thus, the correct option is:

"Less than 75% of all people in the country try to include locally grown foods in their diets."

3 0

4 years ago

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Pls help!! look at photo

monitta

Answer:

2 : 1

Explanation:

$\sf area \ of \ sector: \dfrac{\theta}{360} \pi r^2$

1st sector:

$\sf \rightarrow area: \dfrac{80}{360} \pi (8)^2 = 44.68 \ cm^2$

2nd sector:

$\sf \rightarrow area: \dfrac{160}{360} \pi (4)^2 = 22.34 \ cm^2$

Ratio of 1st sector to 2nd sector:

44.68 : 22.34

2 : 1

7 0

2 years ago

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A photographer stands 60 yards from the base of a lighthouse and observes that the angle between the ground and the top of the l

schepotkina [342]

The height of lighthouse is 52.2 yards

Solution:

Given that photographer stands 60 yards from the base of a lighthouse and observes that the angle between the ground and the top of the lighthouse is 41 degree

The diagram is attached below

Consider a right angled triangle ABC

AB is the height of the lighthouse

BC is the distance between the base of a lighthouse and Photographer

As per given, BC = 60 yards

Angle between the ground and the top of the lighthouse is 41 degree

Angle ACB = 41 degree

To find: height of lighthouse i.e AB = ?

We know that,

$tan(\angle ACB) = \frac{Perpendicular}{Base}$

Here Base is BC and perpendicular is AB

$\tan 41^{\circ}=\frac{A B}{B C}$

Substituting the values,

$\begin{aligned}&\tan 41^{\circ}=\frac{A B}{60}\\\\&0.8692=\frac{A B}{60}\\\\&A B=0.8692 \times 60=52.157 \approx 52.2\end{aligned}$

Thus the height of lighthouse is 52.2 yards

4 0

4 years ago

Find the LCM of 210, 280, 360 by prime factorisation

Katyanochek1 [597]

Answer:

Step-by-step explanation:

210=2x3x5x7

280=2x2x2x5x7

360=2x2x2x3x3x5

5 0

3 years ago

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Find the point, M, that divides segment AB into a ratio of 3:1 if A is at (-4, -2) and B is at (4, -10).

frutty [35]

Answer:

D) The coordinates of $(x,y) = (2, -8)$

Step-by-step explanation:

The coordinates of the points are given as A(-4, -2) and B(4,-10).

The ratio is 3 : 1

Le t us assume the point is M (x,y).

⇒ AM : MB = 3 : 1

Now, Using SECTION FORMULA:

$(x,y) = (\frac{m1 x2 + m2 x1}{m1 + m2} ,\frac{m1 y2 + m2 y1}{m1 + m2})$

Using m1 : m2 = 3 : 1

Here, we get

$(x,y) = (\frac{3(4) +1(-4)}{1 +3} ,\frac{3(-10) + 1(-2)}{1 + 3})\\\implies (x,y) = (\frac{12-4}{4} ,\frac{-30-2}{4} )\\or, (x,y) = (\frac{8}{4} ,\frac{-32}{4} )$

Hence, the coordinates of $(x,y) = (2, -8 )$

3 0

4 years ago

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