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2 years ago

Solve the equation for the given variable. justify each step.

Mathematics

1 answer:

s344n2d4d5 [400]2 years ago

5 0

Answer: y= $\frac{5-9x}{2}$

s=-30+10t

Step-by-step explanation:

9x + 2y = 5; y

9x-9x+2y = 5-9x

2y=5-9x

y= $\frac{5-9x}{2}$

1/15s - 2/3t = -2; s

(1/15s - 2/3t = -2)*15 ==> Get rid of fraction by multiplying both sides by 15

s - 30/3 t=-30

s-10t=-30

s=-30+10t

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A real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found tha

egoroff_w [7]

Answer:

Between 21 years and 75 years

Step-by-step explanation:

Given that a real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found that the mean age was 48 years old, with a standard deviation of 9 years.

X the ages of home buyers is N(48, 9)

a) $30\leq x\leq 66\\|x-48|\leq 18\\|x-48|\leq 2\sigma$

Hence using Cheby chev inequality

$P(|x-48|\leq 2\sigma)\geq 1-\frac{1}{2^2} \\=0.75$

b) $25.5\leq x\leq 70.5\\|x-48|\leq 22.5\\|x-48|\leq 1.5\sigma$

$P(|x-48|\leq 1.5\sigma)\geq 1-\frac{1}{1.5^2} \\=0.556$

c) Using normal distribution we have

$P(|x-48|\leq 2\sigma)=0.95$

d) z value is 2.97

Hence x lies between

$(48-9*2.97, 49+9*2.97)\\=(21.27,74.73)$

Between 21 years and 75 years

4 0

3 years ago

Calculate the derivative of the following function. y=e6x(6x+1)5

netineya [11]

Answer:

Y' = 360ex+ 30e

Step-by-step explanation:

Y=e×6x×(6x+1) × 5

y'= d/dx (e×6x ×(6x+1)×5)

y'=d/dx(30ex ×(6x+1))

y'=d/dx(180ex^2 + 30ex)

y'=d/dx(180ex^2) + d/dx (30ex)

Calculate the derivative

y'=180e×2x +30e

y'=360ex+30e

6 0

3 years ago

Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 4 units up, what are the coordinate

DochEvi [55]

Answer:

The coordinates of point A' will be: A'(-2, 0)

Step-by-step explanation:

We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.

Translation does not change the size, orientation, or shape of the original object.

Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).

Now we have to translate the triangle 4 units up. So, use the formula

P(x, y) → P'(x, y + 3)

Thus, the coordinates of point A' will be:

A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)

Therefore, the coordinates of point A' will be: A'(-2, 0)

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Answer:

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