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3 years ago

What is the HCF of 270 and 900

Mathematics

2 answers:

Finger [1]3 years ago

8 0

Answer:

Its 90

Step-by-step explanation:

ratelena [41]3 years ago

5 0

Answer:

Step-by-step explanation:

Find the prime factorization of 270

270 = 2 × 3 × 3 × 3 × 5

Find the prime factorization of 900

900 = 2 × 2 × 3 × 3 × 5 × 5

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 3 × 3 × 5

GCF = 90

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1/18

Step-by-step explanation:

1/3 / 6 = 1/18

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3 years ago

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3 years ago

Mr. Moore planted a tree in his backyard. His tree grew 3 1/3 feet over five years. if his tree grew at the same rate each year,

alina1380 [7]

Answer:

D. 2/3 per year.

Step-by-step explanation:

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4 0

2 years ago

The number and frequency of Atlantic hurricanes annually from 1940 through 2007 is shown here:

klio [65]

Answer:

The probability table is shown below.

A Poisson distribution can be used to approximate the model of the number of hurricanes each season.

Step-by-step explanation:

(a)

The formula to compute the probability of an event E is:

$P(E)=\frac{Favorable\ no.\ of\ frequencies}{Total\ NO.\ of\ frequencies}$

Use this formula to compute the probabilities of 0 - 8 hurricanes each season.

The table for the probabilities is shown below.

(b)

Compute the mean number of hurricanes per season as follows:

$E(X)=\frac{\sum x f_{x}}{\sum f_{x}}=\frac{176}{68}= 2.5882\approx2.59$

If the variable X follows a Poisson distribution with parameter λ = 7.56 then the probability function is:

$P(X=x)=\frac{e^{-2.59}(2.59)^{x}}{x!} ;\ x=0, 1, 2,...$

Compute the probability of X = 0 as follows:

$P(X=0)=\frac{e^{-2.59}(2.59)^{0}}{0!} =\frac{0.075\times1}{1}=0.075$

Compute the probability of X = 1 as follows:

$\neq P(X=1)=\frac{e^{-2.59}(2.59)^{1}}{1!} =\frac{0.075\times7.56}{1}=0.1943$

Compute the probabilities for the rest of the values of X in the similar way.

The probabilities are shown in the table.

On comparing the two probability tables, it can be seen that the Poisson distribution can be used to approximate the distribution of the number of hurricanes each season. This is because for every value of X the Poisson probability is approximately equal to the empirical probability.

5 0

3 years ago

In each part that follows, you are given an equation of a line and a point. Find the equation of the line through the given poi

Semmy [17]

Answer:

a) $y=-\frac{1}{9}x$

b) $y-2=-\frac{1}{3} (x-1)$

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and can find the slope.

Point slope: $y-y_1=m(x-x_1)$

a) $m\neq 9$ in our new equation because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is $m=-\frac{1}{9}$ .

We will substitute $m=-\frac{1}{9}$ and $x_1=0\\y_1=0$ .

$y-0=-\frac{1}{9} (x-0)$

This simplifies to:

$y=-\frac{1}{9}x$

b) The equation y=3x+4 follows y=mx+b. For the perpendicular line, $m\neq 3$ . We will need to change it into its negative reciprocal which is $m=-\frac{1}{3}$ .

We will substitute $m=-\frac{1}{3}$ and $x_1=1\\y_1=2$ .

$y-2=-\frac{1}{3} (x-1)$

4 0

3 years ago