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anzhelika [568]
2 years ago
9

What is the surface area of the cylinder?

Mathematics
1 answer:
bonufazy [111]2 years ago
7 0

Answer:

Formula for the SA (Surface Area) is 2πrh+2πr^2.

Replace the values and you get answer of 251.999570694 = 252pi

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Antibiotics in Infancy
leonid [27]

Answer:

e)The information from the sample does not give enough information  to support that more than 70% of Canadian children receive antibiotics during the first year of life

Step-by-step explanation:

The proportion we will use for the test is  p  = 70 %

From a random sample we got

n  =  616

x = 438      then   p₁ = 438/616     p₁  =  0,71    p₁  = 71 %

Then  q₁  =  1 - p₁      q₁  = 1 - 0,71    q₁ = 0,29   q₁ = 29 %

a) Hypothesis test:

Null hypothesis                      H₀           p₁   = p

Alternative hypothesis          Hₐ           p₁  > p >70 %

CI = 95 % significance level    α  = 5 %   α = 0,05

z(c) for  α  =  0,05   from z-table is    z(c)  = 1,64

b) To calculate  z(s)  =  ( p₁  -  p ) / √ p₁*q₁ / n

z(s) = ( 0,71  -  0,70 )/ √ 0,71*0,29/616

z(s) = 0,01 /0,01828

z(s) = 0,547 ≈ 0,55

c) p-value for   z(s) is from z-table   p-value ≈ 0,7088

d) p-value > 0,05   then we accept H₀  we don´t have enough evidence to reject H₀

e)The information from the sample does not give enough information  to support that more than 70% of Canadian children receive antibiotics during the first year of life

3 0
3 years ago
A househusband is cooking beef stew for his family in a pan that is (a) uncovered, (b) covered with a light lid, and (c) covered
raketka [301]

Answer:

Cooking will be shortest when the househusband covers the beef stew with the heavy lid.

Step-by-step explanation:

The explanation for this is that water boils at 100°C at normal atmospheric pressure & it remains at that temperature until all the water evaporates as steam; the temperature can then go higher in steam form.

So, if he leaves the pan uncovered the pressure above the beef stew will be the atmospheric pressure and the temperature of the stew will not pass the 100°C mark and the food cooks at 100°C.

If he places a light lid on top, the pressure will build up & the temperature at which water remains liquid is a bit higher, but eventually the steam will push the lid to escape thereby releasing pressure & reducing the temperature.

If he puts a heavy lid on the pan the pressure can build up the highest and the temperature of the water in the stew will stay the highest ensuring the fastest cooking.

Basically, the heavier the lid, greater the pressure in the pan. As the pressure gets greater, the saturation temperature at which water starts boiling will be higher. And higher boiling temperatures mean shorter cooking times.

8 0
3 years ago
Is 2 greater than negative 2?
luda_lava [24]

Answer:

yes

Step-by-step explanation:

3 0
2 years ago
A line segment with endpoints A(-2, 1) and B (2, 1) is dilated with a dilation centered at the origin and a scale factor of
lesya692 [45]

Answer:

Step-by-step explanation:

I will assume that the scale factor is 2.5

A'(-5,2.5)   True

AB || A'B'   True

?? What does ABAB" mean?

A'B' is an enlargement of AB   True

8 0
3 years ago
Find the volume of a sphere with radius 2 feet. Round your answer to the nearest hundredth.
Dmitry_Shevchenko [17]

Answer:

V=33.51ft^3

Step-by-step explanation:

Remember the formula:

V=\frac{4}{3} \pi r^3

V= Volume r= radius

V=\frac{4}{3} \pi 2^3= 33.51032

Round your answer to the nearest hundredth.

V=33.51ft^3

4 0
3 years ago
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