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3 years ago

Factorise the following expressions m²-9n²

Mathematics

1 answer:

Mashcka [7]3 years ago

3 0

Answer:

(m - 3n)(m + 3n).

Step-by-step explanation:

This is the difference of 2 squares, so we use the identity:

a^2 - b^2 = (a - b)(a + b).

So m^2 - 9n^2

(m - 3n)(m + 3n).

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Iq scores are normally distributed with a mean of 100 and a standard deviation of 15 what is the probability that a randomly sel

a_sh-v [17]

So we are given the mean and the s.d.. The mean is 100 and the sd is 15 and we are trying the select a random person who has an I.Q. of over 126. So our first step is to use our z-score equation:

z = x - mean/s.d.

where x is our I.Q. we are looking for

So we plug in our numbers and we get:

126-100/15 = 1.73333

Next we look at our z-score table for our P-value and I got 0.9582

Since we are looking for a person who has an I.Q. higher than 126, we do 1 - P. So we get

1 - 0.9582 = 0.0418

Since they are asking for the probability, we multiply our P-value by 100, and we get

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And our answer is

4.18% that a randomly selected person has an I.Q. above 126
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3 years ago

Diane deposits $7000 into an account that pays simple interest at a rate of 6% per year. How much interest will she be paid in t

Mars2501 [29]

Answer:

1,260

Step-by-step explanation:

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8 0

3 years ago

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A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma

Nata [24]

Answer:

The equations represent the situation is $y=2x+6$ and $y=5+3x$ .

Step-by-step explanation:

Consider the provided information.

First convert the statement into mathematical representation.

Consider the smaller number is x and the larger number is y.

y, is equal to twice the sum of a smaller number and 3.

This information can be written as: $y=2(x+3)$

Which can be further solve as:

$y=2x+6$

The larger number is also equal to 5 more than 3 times the smaller number.

This information can be written as: $y=5+3x$

Thus, the equations represent the situation is $y=2x+6$ and $y=5+3x$ .

Which can be further solve as:

$2x+6=5+3x$

$x=1$

Now, substitute the value of x in $y=5+3x$ .

$y=5+3$

$y=8$

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3 years ago

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Find the 16th term , given the first term and the common difference. a1=8 and d=3

sattari [20]

By using the formula for arithmetic sequence, the 16th term of the progression can be obtained. Given A1=8 and d=3,
A16=A1+(n-1)d
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3 years ago

Pls help me on question 2

boyakko [2]

Answer:

For this one, your answer will be

(x-8) would describe the case here planes grew 8 inches but x inches this weak.

Step-by-step explanation:

hope it helps

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2 years ago

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Factorise the following expressions m²-9n²​

Factorise the following expressions m²-9n²