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Sav [38]
2 years ago
5

What is the density of a 60-gram pyramid with rectangular base 5 cm x 7 cm and height 9 cm?

Mathematics
1 answer:
JulijaS [17]2 years ago
4 0

Answer:

0.571428571429 grams per cm³

Step-by-step explanation:

density = mass/volume

Let’s calculate the volume V of the pyramid :

V = (1/3)×base×height

   = (1÷3)×(5×7)×9

   = 105 cm³

Then

The density = mass/volume

                    = 60÷105

                    = 0.571428571429

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A manufacturer of matches randomly and independently puts 23 matches in each box of matches produced. The company knows that one
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Answer:

0.9855 or 98.55%.

Step-by-step explanation:

The probability of each individual match being flawed is p = 0.008. The probability that a matchbox will have one or fewer matches with a flaw is the same as the probability of a matchbox having exactly one or exactly zero matches with a flaw:

P(X\leq 1)=P(X=0)+P(X=1)\\P(X\leq 1)=(1-p)^{23}+23*(1-p)^{23-1}*p\\P(X\leq 1)=(1-0.008)^{23}+23*(1-0.008)^{23-1}*0.008\\P(X\leq 1)=0.8313+0.1542\\P(X\leq 1)=0.9855

The probability  that a matchbox will have one or fewer matches with a flaw is 0.9855 or 98.55%.

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James trained for the Boston marathon for 3 1/2 hours every day how many hours did he train in the month of June?
n200080 [17]
If you say 3.5 times 30 ur answer would be 105
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keisha made $396 for 18 hours of work at the same rate how many hours would she have to work to make the 242
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Step-by-step explanation:

JK, if you are asking how many hours it would take to make 242 dolla then the answer is 11

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2 years ago
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Please help! Identify each decimal number as either rational or irrational.
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Answer:

A Rational number is a number that can be written as a ratio in fraction form.

An Irrational number is a number that, when in decimal form, does not terminate or repeat.

Step-by-step explanation:

1.485 can be written as 1 485/1000 - it is rational

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