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3 years ago

Gabe and Caden mow lawns

Mathematics

1 answer:

7nadin3 [17]3 years ago

7 0

Answer:

what is the question?

Step-by-step explanation:

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SAT math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 114.

nadezda [96]

Hey there mate :)

Analysis :

$401 = 515 - 114 = u - 6$

And

$173 = 515 - 3.114 = u - 36$

$= \frac{p(u - 36 < u < u + 36) - p(u - 6 < u < u + 6)}{2}$

$= \frac{99.73percent - 68.21percent}{2}$

$= \frac{31.46percent}{2}$

$= {15.73percent}$

Then, calculating,

$u - 26 = 515 - 2 \times 114 = 287$

And

$u + 26 = 515 + 2 \times 114 = 743$

Then,

$The \: Range = (287,743)$

Final Answers :-

15.73 %

(287,743)

~Benjemin360

3 0

3 years ago

Factor completely: 4a^2+b^2−c^2+4ab

Lapatulllka [165]

Answer:

$4a^{2} + b^{2} - c^{2} + 4ab$ $= (2a + b -c) (2a + b+c)$

Step-by-step explanation:

Here, the given expression is $4a^{2} + b^{2} - c^{2} + 4ab$

or, the given expression can be written as

$(4a^{2} + b^{2} + 4ab ) - c^{2}$

Now, by ALGEBRAIC IDENTITY: $(x+y)^{2} = x^{2} + y^{2} + 2xy$

So, similarly here, $(2a +b){2} = 4a^{2} + b^{2} + 4ab$

Hence, on simplification, the expression

$(4a^{2} + b^{2} + 4ab ) - c^{2} = (2a + b)^{2} - c^{2}$

Now, by ALGEBRAIC IDENTITY: $(x +y)(x-y) = x^{2} - y^{2}$

So, similarly $(2a + b)^{2} - c^{2}$ $= (2a + b -c) (2a + b+c)$

Hence, the given expression is factorized as:

$4a^{2} + b^{2} - c^{2} + 4ab$ $= (2a + b -c) (2a + b+c)$

7 0

3 years ago

Factor 3x^3 + 27x^2 + 60x

nika2105 [10]

Answer: 3x(x+4)(x+5)

Step-by-step explanation:

8 0

3 years ago

A car salesman sells cars with prices ranging from $5,000 to $45,000. The histogram shows the distribution of the numbers of car

igor_vitrenko [27]

The mean will shift to left

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3 years ago

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you buy a car for $8000 that depreciates at a rate of 11% a year.how much is the car worth after 6 years?

Eddi Din [679]

Answer:

$2,720

Step-by-step explanation:

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4 years ago