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3 years ago

What is the volume of a block of ice measuring 3 meters long, 1.5 meters wide, and 2 meters high?

Mathematics

2 answers:

EleoNora [17]3 years ago

8 0

Answer: C
Working Out: 3 x 1.5 x 2 = 9

Licemer1 [7]3 years ago

8 0

The volume (V) of the rectangular prism is the product obtained when we multiply its height (H), length (L), and width (W). Mathematically,
V = H x L x W
Substituting the known values,
V = 2 m x 3 m x 1.5 m =9 m
Thus, the answer is letter C.

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A team of three students are working on a language-learning app; they need to develop 300 micro-lessons and 300 micro-tests befo

Olegator [25]

Answer: a) 15 b)

Step-by-step explanation:

Let X be the number of days:

For LESSONS:

Jordan does 10 / day ( 10*X)

Marco 5 / day ( 5*X)

Junyi 5 / day ( 5*X)

For TESTS:

Jordan does 5 / day ( 5*X)

Marco 10 / day ( 10*X)

Junyi 8 / day ( 8*X)

for each they need a total of 300

a) $10X+5X+5X=300 => 20X = 300 => X = 15$ days for the lessons

b) $5X+10X+8X = 300 => 23X = 300 => X = 13.04$ days for the tests

so they need 15 days to finish both tasks

now if Junyi gets sick we just eliminate his contribution

a) $10X+5X=300 => 15X = 300 => X = 20$ days for the lessons

b) $5X+10X = 300 => 15X = 300 => X = 20$ days for the tests

so in 20 days they will finish without him

If jordan works 10 hours a day, we just replace him with 10/24

a) $10(10/24)+5X+5X= 300 => X = 29.58$ days for the lessons

b) $5(10/24)+10X+8X = 300 => X = 16.51$ days for the tests

so at the end to complete both tasks they need 29.58 days

4 0

3 years ago

When finding the margin of error for the mean of a normally distributed population from a sample, what is the critical probabili

svlad2 [7]

Critical probability is the essentially cut-off value. The critical probability when the confidence level of 58% is 0.79.

<h3>What is the critical probability?</h3>

Critical probability is the essentially cut-off value that defines the region where the test statistic is unlikely to lie.

As it is given that the confidence level is 58%. therefore, in order to calculate the critical probability, we need to calculate the margin of error within a set of data, and it is given by the formula

$\rm Critical\ Probability, (P*) = 1-\dfrac{\alpha }{2}$

where the value of the α is expressed as,

$\alpha= 1 -\dfrac{\rm Confidence\ interval}{100}$

Now, as the confidence interval is given to us, therefore, the value of the alpha can be written as,

$\alpha= 1 -\dfrac{\rm 58\%}{100} = 0.42$

Further, the critical probability, assuming a confidence level of 58% is,

$\rm Critical\ Probability, (P*) = 1-\dfrac{\alpha }{2}\\\\\rm Critical\ Probability, (P*) = 1-\dfrac{0.42}{2} = 0.79$

Hence, the critical probability is 0.79.

Learn more about Critical Probability:

brainly.com/question/5625386

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2 years ago

What value of x will make △ONM similar to △SRQ by the SAS similarity theorem?

Lerok [7]

Answer:

c 25

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Which of these random samples represents a representative sample of the number of students in a middle school who walk to school

Westkost [7]

Answer:

Step-by-step explanation:

150 is a good sample of a middle school and students at lunch is random again because most students eat lunch

4 0

3 years ago

g Let G be a not necessarily abelian group with normal subgroups H and K such that H contains K (i.e., K ✂ G, H ✂ G, K ≤ H) and

allsm [11]

Answer:

Lets a,b be elements of G. since G/K is abelian, then there exists k ∈ K such that ab * k = ba (because the class of ab, $[ab]_K$ is equal to $[ba]_K$ , thus ab and ba are equal or you can obtain one from the other by multiplying by an element of K.

Since K is a subgroup of H, then k ∈ H. This means that you can obtain ba from ab by multiplying by an element of H, k. Thus, $[ab]_H = [ba]_H$ . Since a and b were generic elements of H, then H/G is abelian.

4 0

3 years ago