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3 years ago

8

Container A has radius r and height h . It holds a maximum of 4 gallons of water. Container B has radius 3r and height 2h . What

is the maximum amount of water that container B can hold?

1 answer:

den301095 [7]3 years ago

4 0

It is 3^2*2*4=9*2*4=9*8=72 gallons of water

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A random sample of 11 fields of rye has a mean yield of 20.1 bushels per acre and standard deviation of 7.66 bushels per acre. D

Lady bird [3.3K]

Answer:

17.1≤x≤23.1

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as;

CI = x ± z*s/√n

x is the mean yield = 20.1

z is the 80% z-score = 1.282

s is the standard deviation = 7.66

n is the sample size = 11

Substitute

CI = 20.1 ± 1.282*7.66/√11

CI = 20.1 ± 1.282*7.66/3.3166

CI = 20.1 ± 1.282*2.3095

CI = 20.1 ±2.9609

CI = (20.1-2.9609, 20.1+2.9609)

CI = (17.139, 23.0609)

hence the required confidence interval to 1dp is 17.1≤x≤23.1

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3 years ago

For every 4 gallons of green paint he uses 3 gallons of blue paint. Drag the correct number of each type of paint into the box t

Inga [223]

Answer:

Amount of green color used =

$\dfrac{64}{7}\text{ gallons}$

Step-by-step explanation:

We are given the following in the question:

Every 4 gallons of green paint is mixed with 3 gallons of blue paint. to make a particular shade.

Ratio of green color to blue paint can be calculated as:

$=\dfrac{\text{Amount of green color}}{\text{Amount of blue color}}\\\\=\dfrac{4}{3}$

Amount of shade = 16

Amount of green paint = $4x$

Amount of blue paint = $3x$

Thus, we can write:

$4x + 3x = 16\\7x = 16\\\\x = \dfrac{16}{7}$

Amount of green color used =

$4x = 4\times \dfrac{16}{7} = \dfrac{64}{7}\text{ gallons}$

Amount of blue paint used =

$3x = 3\times \dfrac{16}{7} = \dfrac{48}{7}\text{ gallons}$

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3 years ago

If an image is to be reflected in the line y = x and the x-axis, does the order of the reflections affect the final image? Expla

OverLord2011 [107]

Answer:

Affects

Step-by-step explanation:

Consider point (2,-1).

1. Reflect it in the line y=x, then the image point will have coordinates (-1,2). Now reflect it in the x-axis, then the image point will have coordinates (-1,-2).

2. Reflect the point (2,-1) in the x-axis. Its image is point (2,1). Reflect this point in the line y=x, then its image will be point (1,2).

Since images in 1st case and 2nd case differ, the order affects the final image.

4 0

3 years ago

What are the measurements rounded to the nearest hundredth.

bekas [8.4K]

Answer:

Step-by-step explanation:

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3 years ago

Svet_ta [14]

Answer:

Eating dinner and eating dessert are dependent events because

P(dinner) . P(dessert) = 0.9 × 0.6 = 0.54 which is not equal to

P(dinner and desert) = 0.5 ⇒ answer A

Step-by-step explanation:

* Lets study the meaning independent and dependent probability

- Two events are independent if the result of the second event is not

affected by the result of the first event

- If A and B are independent events, the probability of both events

is the product of the probabilities of the both events

- P (A and B) = P(A) · P(B)

* Lets solve the question

∵ There is a 90% chance that a person eats dinner

∴ P(eating dinner) = 90/100 = 0.9

∵ There is a 60% chance a person eats dessert

∴ P(eating dessert) = 60/100 = 0.6

- If eating dinner and dating dessert are independent events, then

probability of both events is the product of the probabilities of the

both events

∵ P(eating dinner and dessert) = P(eating dinner) . P(eating dessert)

∴ P(eating dinner and dessert) = 0.9 × 0.6 = 0.54

∵ There is a 50% chance the person will eat dinner and dessert

∴ P(eating dinner and dessert) = 50/100 = 0.5

∵ P(eating dinner and dessert) ≠ P(eating dinner) . P(eating dessert)

∴ Eating dinner and eating dessert are dependent events because

P(dinner) . P(dessert) = 0.9 × 0.6 = 0.54 which is not equal to

P(dinner and desert) = 0.5

8 0

3 years ago