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3 years ago

Decrease 99kg by 5/11

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

5 0

Answer:

Step-by-step explanation:

First calculate 5/11 of 99

99 / 11 * 5 = 45

Then subtract your answer from 99

99 - 45 = 54

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The highest common factor of two DIFFERENT numbers 21 and Δ is 21.

nadezda [96]

Step-by-step explanation:

it is a multiple of 21.

the highest common factor of 2 numbers is the longest combination of prime factors they have in common.

the prime factors of 21 are simply

3×7

if another number A shares this as the longest combination of prime factors, that means it contains 3×7 itself in its prime factors.

and that means this number A can only be a multiple of 3×7 (= 21), as other prime factors present would be the factor of 21.

5 0

2 years ago

The sum of three consecutive even numbers is 438. What is the 2nd number?

denis-greek [22]

First number = x

Second number = x + 2

Third number = x + 4

X + x +2 + x + 4 = 438

Simplify:

3x + 6 = 438

Subtract 3 from both sides

3x = 432

Divide both sides by 3

X = 144

The second number is 144 + 2 = 146

4 0

4 years ago

A random variable X has a Poisson distribution with a mean of 3. What is the probability that X P(1≤X≤3) ?.

frosja888 [35]

Answer:

P(1≤X≤3) = 0.5974

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Mean of 3

This means that $\mu = 3$

P(1≤X≤3) ?

$P(1 \leq X \leq 3) = P(X = 1) + P(X = 2) + P(X = 3)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494$

$P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240$

$P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240$

$P(1 \leq X \leq 3) = P(X = 1) + P(X = 2) + P(X = 3) = 0.1494 + 0.2240 + 0.2240 = 0.5974$

4 0

3 years ago

6= 2(y+2) i need help on this

vitfil [10]

Y = 1
This the answer just trust

8 0

3 years ago

The graph of y^2=x^2 is symmetric with respect to which axis? a. x-axis c. both b. y-axis d. neither

PtichkaEL [24]

Answer:

c. both

Step-by-step explanation:

Given equation is $y^2=x^2$

Now we need to check if the graph of $y^2=x^2$ is symmetric with respect to which axis?

a. x-axis c. both b. y-axis d. neither

We know that if f(-x) reflect the graph about y-axis

so let's change x by -x into given function to see if that equation remains unchanged or not

$y^2=(-x)^2$

$y^2=x^2$

That is same as previous equation.

<u>Hence given graph is symmetric about y-axis.</u>

We know that if -f(x) reflect the graph about x-axis

so let's change y by -y into given function to see if that equation remains unchanged or not

$(-y)^2=x^2$

$y^2=x^2$

That is same as previous equation.

<u>Hence given graph is symmetric about x-axis.</u>

So the correct choice is c. both

3 0

3 years ago

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Decrease 99kg by 5/11​

Decrease 99kg by 5/11