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3 years ago

Which inequality has a solid boundary line when graphed?

Mathematics

1 answer:

Taya2010 [7]3 years ago

4 0

The answer is D. There is a solid boundary line whenever it is greater than or equal to...

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A cylindrical container 30cm in diameter holds approximately 30 litres of oil. how far does the oil level fall after 1 litre of

LenaWriter [7]

The fall in the level of oil is <u>1.4147 cm</u> when the total volume of oil consumed is 1 liter.

We assume the drop in the level of water to be d cm.

Since the container is cylindrical in shape, its volume is given as:

V = πr²h, where V is the volume, r is the radius, and h is the height.

In the question, we are given that the diameter of the can is 30 cm.

Hence its radius = 30/2 = 15 cm.

The capacity of the container is given to be 30 liters or 30*1000 = 30000 cm³.

The volume of the oil used = 1 liter or 1*1000 = 1000 cm³.

Thus, substituting V = 1000, r = 15, and h = d, in the formula of the volume, V = πr²h, we get:

1000 = π(15)²(d),

or, d = 1000/(225π) = 1.4147.

Thus, the fall in the water level is 1.4147 cm.

Therefore, the fall in the level of oil is <u>1.4147 cm</u> when the total volume of oil consumed is 1 liter.

Learn more about the volumes of cylinders at

brainly.com/question/9554871

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4 0

2 years ago

Solve for the indicated variable. Include all of your work in your answer. Submit your solution.

zysi [14]

P=3r + 2s you need to get all the numbers and variables on the other side of the equation so that s is alone.
P -3r = 2s Subtract the 3r from both sides.
P- 3r /2 =s now divide the whole amount P-3r by 2 and you've got your answer!

6 0

3 years ago

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B

user100 [1]

Answer:

1 = 116

2 = 64

4 = 64

5 = 116

6 = 64

7 = 116

8 = 64

7 0

3 years ago

IQ scores are known to be normally distributed. The mean IQ score is 100 and the standard deviation is 15. What percent of the p

Masja [62]

Answer:

47.06% of the population has an IQ between 85 and 105.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 100, \sigma = 15$