All categories

2 years ago

Cereal with a height of 13 width of 2 and length of 7.5 solve for volume

Mathematics

2 answers:

Ksju [112]2 years ago

5 0

Answer:

As per Given Information

→ Height = 13

→ Width = 2

→ Length = 7.5

we have to find the volume of cereal .

Volume of Cereal = Height ×Width×Length

On substituting the value we obtain

➺ Volume of Cereal = 13×2×7.5

➺ Volume of Cereal = 26 × 7.5

➺ Volume of Cereal = 195 unit cube

So, the volume of cereal is 195 unit cube .

ss7ja [257]2 years ago

3 0

Answer:

195

Step-by-step explanation:

You might be interested in

A cylindrical cooler has a diameter of 30 inches and a height of 24 inches . If a cup has a diameter of 3 inches and a height of

Aleks04 [339]

Answer:

The answer to your question is 600 cups

Step-by-step explanation:

Data

Cylinder Cup

diameter = 30 in diameter = 3 in

height = 24 in height = 4 in

Process

1.- Calculate the volume of the cylinder

Volume = πr²h

-Substitution

Volume = (3.14)(30/2)²(24)

-Simplification

Volume = (3.14)(15)²(24)

Volume = (3.14)(225)(24)

-Result

Volume = 16959 in³

2.- Calculate the volume of the cup

Volume = (3.14)(3/2)²(4)

-Simplification

Volume = (3.14)(1.5)²(4)

Volume = (3.14)(2.25)(4)

-Result

Volume = 28.26 in³

3.- Divide the volume of the cylinder by the volume of the cup

Number of full cups = 16959 in³ / 28.26 in³

Number of full cups = 600

8 0

4 years ago

Read 2 more answers

A pole that is 2.8 m tall casts a shadow that is 1.67 m long. At the same time, a nearby building casts a shadow that is 50.75 m

Veseljchak [2.6K]

Answer:

Explanation:

3.2

1.14

44.75

Cross Mutliply:

44.75

⋅

3.2

1.14

Divide:

143.2

1.14

You get 125.614 rounded to the nearest meter is 126

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

HELP ME FAST, IF YOU ARE RIGHT I WILL MARK BRAINLIEST!! Martha drew a triangle with angle measures 60°, 60°, and 60°, and side l

11111nata11111 [884]

Answer:

Equilateral triangle?

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

PLZ HURRY IT'S URGENT!!

Jet001 [13]

Answer:

OPTION C: 60%

Step-by-step explanation:

Chances of raining the next day + Chances that it will not rain = 100%

One of them should definitely be true.

So, if the chance of it raining tomorrow is 40% then there is 60% chance that it will not rain tomorrow.

This can also seen as follows:

Probability of rain tomorrow + Probability of no rain = 1

Given Probability of rain tomorrow = 40% = $\frac{40}{100} = \frac{2}{5}$

Probability of no rain tomorrow = 1 - Probability of rain tomorrow

⇒ Probability of no rain = 1 - $\frac{2}{5}$

⇒ Probability of no rain = $\frac{3}{5}$

Expressing it as percentage: $\frac{3}{5} \times 100$ = 60%.

8 0

3 years ago

A geologist has collected 5 specimens of basaltic rock and 7 specimens of granite. The geologist instructs a laboratory assistan

MaRussiya [10]

The rocks are chosen without replacement, which means that the hypergeometric distribution is used to solve this question. First we get the parameters, and then we answer the questions. From this, we get that:

$E(X) = 5.25, Var(X) = 0.5966$
P(X < 6) = 0.9545
P(all specimens of one of the two types of rock are selected for analysis) = 0.2046.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

The mean and the variance are:

$\mu = \frac{nk}{N}$

$\sigma^2 = \frac{nk(N-k)(N-n)}{N^2(N-1)}$

We have that:

5 + 7 = 12 rocks, which means that $N = 12$

9 are chosen, which means that $n = 9$

7 are granite, which means that $k = 7$

Question a:

$E(X) = \mu = \frac{9\times7}{12} = 5.25$

$Var(X) = \sigma^2 = \frac{9\times7(12-7)(12-9)}{12^2(12-1)} = 0.5966$

Thus:

$E(X) = 5.25, Var(X) = 0.5966$

Question b:

Since there are only 5 specimens of basaltic rock, at least 9 - 5 = 4 specimens of granite are needed, which means that:

$P(X < 6) = P(X = 4) + P(X = 5) + P(X = 6)$

In which

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 4) = h(4,12,9,7) = \frac{C_{7,4}*C_{5,5}}{C_{12,9}} = 0.1591$

$P(X = 5) = h(5,12,9,7) = \frac{C_{7,5}*C_{5,4}}{C_{12,9}} = 0.4773$

$P(X = 6) = h(6,12,9,7) = \frac{C_{7,6}*C_{5,3}}{C_{12,9}} = 0.3181$

Thus

$P(X < 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.1591 + 0.4773 + 0.3181 = 0.9545$

So P(X < 6) = 0.9545.

Question c:

5 of basaltic and 4 of granite: 0.1591 probability.

7 of granite is P(X = 7), in which

$P(X = 7) = h(7,12,9,7) = \frac{C_{7,7}*C_{5,2}}{C_{12,9}} = 0.0455$

0.1591 + 0.0455 = 0.2046, thus:

P(all specimens of one of the two types of rock are selected for analysis) = 0.2046.

A similar question is found at brainly.com/question/24008577

5 0

3 years ago