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3 years ago

Calculate the density of a 6.75 g solid with a volume of 5.35cm3

Mathematics

1 answer:

rewona [7]3 years ago

3 0

The density of the given solid is: 1.26 grams per cubic centimeter

Step-by-step explanation:

the density is defined as mass per unit volume.

It states that how much the substance is there in per unit of volume.

Density is denoted by ρ

And the formula is given by:

$Density = \frac{m}{V}$

Given

Mass = m = 6.75 g

Volume = 5.35 cm^3

So the density will be:

$density = \frac{6.75}{5.35}\\= 1.26\ grams\ per\ cm^3$

Hence,

The density of the given solid is: 1.26 grams per cubic centimeter

Keywords: Density, volume

Learn more about density at:

#LearnwithBrainly

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Jasmine has a bag which contains a nickel, a penny, and a dime. Find the probability of getting a nickel first and then a penny

stepan [7]

Answer:

0.166 = 16%

Step-by-step explanation:

There are three different options to pick in the bag, so the probability of getting a nickel first is 1/3, and then the probability of getting a penny without replacing the nickel is 1/2, as there will be only 2 options remaining after the nickel was picked.

So the final probability is the product of these probabilities:

P = (1/3) * (1/2) = 1/6 = 0.166 = 16%

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3 years ago

A 92 ft path cuts diagonally from Mateo St. to Cove St. It makes an angle of 68° with Cove St. and an angle of 34° with Mateo St

ohaa [14]

Answer:

41.802 feet

Step-by-step explanation:

Given that a 92 ft path cuts diagonally from Mateo St. to Cove St. It makes an angle of 68° with Cove St. and an angle of 34° with Mateo St.

We can visualize a triangle formed by the three streets One side is 92 feet.

Angle opposite 92 feet = $180-68-34 = 78$

Let x be length of Cove st and y length of Mateo st.

Using sine angle for triangles,

$\frac{92}{sin 78} =\frac{x}{sin 34} =\frac{y}{sin 68}$

Simplify to get

x=52.595

y=87.207

Distance saved= $x+y-92\\= 139.802-92\\=41.802$

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3 years ago

Read 2 more answers

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CaHeK987 [17]

Answer:

Step-by-step explanation:

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3 years ago

Adult and student tickets to the high school basketball game are sold each week. For every two adult tickets, seven student tick

Gemiola [76]

Answer:

414 tickets!

Step-by-step explanation:

If there were sold 92 adult tickets, and for every two of them, 7 student tickects are sold, we have the following:

92 / 2 = 46

Multiply by 7.

46 * 7 = 322 student tickets.

322 students tickets + 92 adult tickets = 414 tickets in total.

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2 years ago

Biologists were studying the proportions of cats that had spotted markings on their fur in two populations of cats, C and F. An

alexandr1967 [171]

Answer:

If the proportions of all cats with spotted markings is the same for both populations, the probability of observing a sample difference of at least 0.62 is 0.01.

Step-by-step explanation:

p-value is the probability of observing a result which is at least as extreme as we calculated in our actual workings, assuming the Null hypothesis to be true.

The calculate p-value is 0.01. In the question statement we are given that the alternate hypothesis is:

"Population Proportions are not equal"

Since, Null and Alternate Hypothesis are negations of each other, the Null Hypothesis would be:

"Population Proportions are equal"

We assume the null hypothesis to be true, perform the tests on the sample and obtain a result.

The results we obtained is:

The sample difference is 0.62

Fitting all this data, in the definition of p value tell us that:

The probability of obtaining a sample difference of atleast 0.62 is 0.01, if the population proportions are same.

This matches with the option B. Therefore, the correct answer is:

If the proportions of all cats with spotted markings is the same for both populations, the probability of observing a sample difference of at least 0.62 is 0.01.

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2 years ago