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ANEK [815]
3 years ago
7

Sean wants to estimate the percentage of people who have a yearly physical exam from their physician. He surveys 350 individuals

and finds that 238 have a yearly physical exam. What is the correct interpretation of the 95%confidence interval? a. We estimate that 95% of the time a survey is taken, the proportion of people who have a yearly physical exam will be between 0.631 and 0.729. b. We estimate with 95% confidence that the true population proportion of people who have a yearly physical exam is between 0.631 and 0.729. c. We estimate with 95% confidence that the sample proportion of people who have a yearly physical exam is between 0.631 and 0.729.

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0

Answer:

b

Step-by-step explanation:

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An airplane flies with a constant speed of 620 miles per hour. How long will it take to
LekaFEV [45]

Answer:

30 minutes

Step-by-step explanation:

Alright lets start by laying out what the problem gives us :

A plane flies 620 mph.

It is asking how long it will take to travel 310 miles.

We need to give our answer in minutes or hours.

So lets take mph and look at the full meaning "Miles per hour"

An hour has 60 minutes in it.

So really it is saying miles per 60 minutes as well as miles per hour

So you could say the plane is traveling 620 miles every 60 minutes.

So now lets look at the number 310.

Just looking at it I can tell you that 310 looks very close to half of 620, in fact it is exactly half!

So lets divide the 620 mph by the 310 miles it is asking and we get 2! Proving that 310 is half of 620.

Alright now lets divide both the number of miles and number of minutes :

620 miles per 60 minutes

divided by 2 both miles and minutes

310 miles per 30 minutes

So this is your answer. After this you get that it would take 30 minutes to travel 310 miles in a plane going 620 miles per hour!

I hope this helps and I could help you understand it. :)

If you have any questions feel free to comment or dm me.

7 0
2 years ago
The end points of one side of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the pentagon?
marissa [1.9K]
To determine the perimeter of the pentagon, you must first calculate a side length of it. Let's name the coordinates A(-1,4) and B(2,3).

To figure out how far the points are from each other, you have to use the distance formula:
D_{AB}  =  \sqrt{( x_{2}-x_{1})^2+{(y_{2}-y_{1})^2}

x_{1} =1, x_{2} =-2, y_{1} =2, y_{2} =3
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2} 
D_{AB}= \sqrt{(2+1)^2+{(3-4)^2}
D_{AB}= \sqrt{(3)^2+(-1)^2}
D_{AB}= \sqrt{9+1}
D_{AB}= \sqrt{10}

Now, the formula for the perimeter of a pentagon is 
P = 5×side length
 
So...
Perimeter = 5×\sqrt{10}

The answer is (2)

8 0
3 years ago
Find the length of the third side. If necessary, round to the nearest tenth.<br> 15<br> 9
mihalych1998 [28]

Answer:

10

Step-by-step explanation:

7 0
3 years ago
a triangle has verticals A(-5,-4), B(2,6), C(4,-3) The center of dilation is the origin and (x,y) (3x,3y). what are the vertices
Gnom [1K]

A' (3(-5),3(-4))= (-15,-12)

B' (3(2),3(6))=(6,18)

C'(3(4),3(-3))=(12,-9)

6 0
1 year ago
A t-shirt increased in price by 1/4. After the increase it was £20. What was the original price of the t-shirt?
Licemer1 [7]

Answer:

£16

the t-shirt increased by 0.25. let's convert that to percentage

therefore it increased by 25%

By using cross multiplication we can write as follows:

125%=£20

100%=£ x

(100×20)/125= £16

8 0
2 years ago
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