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2 years ago

Obtain two numbers such their HCF is 20 and their LCM is 300....... By steps...

Mathematics

1 answer:

Gemiola [76]2 years ago

7 0

Answer:

60 and 100

Step-by-step explanation:

Look for 2 multiples of 20 which are also factors of 300.

No need to go all Mathematician.

It's simple, no long explanation needed

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4 and 5 are complements, and 1 and 5 are complements. By the congruent complements theorem, which angle is congruent to 4? 1 2 3

Zepler [3.9K]

The theorem tells you angles complementary to the same angle are congruent. Both 4 and 1 are complementary to 5, so 4 and 1 are congruent.

The angle congruent to 4 is 1.

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2 years ago

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The mean GPA of student in a course at UCDevis is 3.2 with a standard deviation of 0.3. What percent of student in a course have

Orlov [11]

Answer:

81.86%

Step-by-step explanation:

We are given that the mean GPA of students in a course at UC Davis is 3.2 with a standard deviation of 0.3.

Assuming that the data follows normal distribution.

Let X = GPA of students in a course at UC Davis

So, X ~ Normal()

The z score probability distribution for normal distribution is given by;

Z = ~ N(0,1)

where, = population mean GPA = 3.2

= standard deviation = 0.3

Now, the probability that the students in the course have a GPA between 2.9 and 3.8 is given by = P(2.9 < X < 3.8)

P(2.9 < X < 3.8) = P(X < 3.8) - P(X 2.9)

P(X < 3.8) = P( < ) = P(Z < 2) = 0.97725

P(X 2.9) = P( ) = P(Z -1) = 1 - P(Z < 1)

= 1 - 0.84134 = 0.15866

The above probability is calculated by looking at the value of x = 2 and x = 1 in the z table which has an area of 0.97725 and 0.84134 respectively.

Therefore, P(2.9 < X < 3.8) = 0.97725 - 0.15866 = 0.8186

Hence, 81.86% of students in the course have a GPA between 2.9 and 3.8.

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2 years ago

A student raises her grade average from a 75 to a 90. What was the percent of increase

son4ous [18]

This can be solved algebraically. Before we start, as context, to find a percentage you multiply by the percentage/100.

$75*x=90 \\ x= \frac{90}{75} \\ \\ \boxed{x=1.2}$

This tells us that 90 is 120% of 75. However, your question wants us to find the <em>increase</em>, therefore we don't need that 100.
Therefore, the increase is 20%.

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2 years ago

You need to create a fenced off region of land for cattle to graze. The grazing area must be a total of 500 square feet, surroun

gtnhenbr [62]

Part 1 : A=1/2 ap P= 2A/a = 1000/10 = 100 ft.
Part 2 : (100 ft.)($7.95/ft) = $795
I'm not sure for part 3.

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2 years ago

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The rabbit population on a small island is observed to be given by the function P(t) = 130t − 0.3t^4 + 1100 where t is the time

Montano1993 [528]

The maximum occurs when the derivative of the function is equal to zero.
$P(t)=-0.3t^{4}+130t+1100 \\ P'(t)=-1.2t^{3}+130 \\ 0=-1.2t^{3}+130 \\ 1.2t^{3}=130 \\ t^{3}= \frac{325}{3} \\ t=4.76702$
Then evaluate the function for that time to find the maximum population.
$P(t)=-0.3t^{4}+130t \\ P(4.76702)=-0.3*4.76702^{4}+130*4.76702+1100 \\ P(4.76702)=1564.79201$
Depending on the teacher, the "correct" answer will either be the exact decimal answer or the greatest integer of that value since you cannot have part of a rabbit.

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2 years ago

Obtain two numbers such their HCF is 20 and their LCM is 300....... By steps...​

Obtain two numbers such their HCF is 20 and their LCM is 300....... By steps...