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2 years ago

15

If 25 cm' of a quantity of marbles has a mass of 45 g, calculate the density of the marble in kg/m

1 answer:

Elena-2011 [213]2 years ago

7 0

The density of the marble will be "0.18 kg/m³".

According to the question,

Volume of marbles,

V = 25 cm³

By converting it into m, we get

0.25 m³

Mass,

M = 45 g

By converting it into kg, we get

0.045 kg

As we know, the formula:

→ $Density = \frac{Mass}{Volume}$

By substituting the values, we get

→ $= \frac{0.045}{0.25}$

→ $= 0.18 \ kg/m^3$

Thus the answer above is correct.

Learn more about density here:

brainly.com/question/15553857

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Two fishing boats leave a marina at the same time. One boat travels north at a speed of 12 miles per hour. The other boat heads

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Answer:

5.25 miles

Step-by-step explanation:

15 min=1/4 of hour

12/4=3

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2 years ago

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Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract

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Answer:

$P(X = 0) = 0.03125$

$P(X = 1) = 0.15625$

$P(X = 2) = 0.3125$

$P(X = 3) = 0.3125$

$P(X = 4) = 0.15625$

$P(X = 5) = 0.03125$

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Fair coin:

Equally as likely to be heads or tails, so $p = 0.5$

5 tosses:

This means that $n = 5$

Probability distribution:

Probability of each outcome, so:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125$

$P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625$

$P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125$

$P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125$

$P(X = 4) = C_{5,4}.(0.5)^{4}.(0.5)^{1} = 0.15625$

$P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125$

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Step-by-step explanation:

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3 years ago

The book store is having a sale. Every book is $5 off, regardless of the original price.

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Answer:

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2 years ago

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A pair of flip flops is $30. How much will they cost after a 20% discount and 6.5% tax. Please show your work.

jeka94

Answer:

The flip flops cost $25.56 after the discount and tax.

Step-by-step explanation:

A pair of flip flops is $30. This is our starting amount.

The tax will be applied on the price the flip flops are bought for. This means we must apply the discount first.

The discount is 20%. Let's find what the flip flops were sold for.

If the discount is 20%, the flip flops were sold for 80% of their original price. Let's find 80% of 30.

80% of 30 = ?

0.80 • 30 = ?

= 24

The flip flops were sold for $24.

Now we have to apply a 6.5% tax. To find the amount of money added to the total, we need to find 6.5% of 24.

6.5% of 24 = ?

0.065 • 24 = ?

= 1.56

The tax was $1.56.

We need to add the tax to the discounted price.

1.56 + 24 = ?

= 25.56

The flip flops cost $25.56 after the discount and tax.

Hope this helps!

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2 years ago