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3 years ago

Help Use the Distributive Property to rewrite the expression -8(a + b) =

Mathematics

1 answer:

Delicious77 [7]3 years ago

7 0

Answer:

$-8a-8b$

Step-by-step explanation:

You would first distribute -8 into the parenthesis:

$a(-8)+b(-8)\\-8a-8b$

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Write an inequality that would include (1,2) in the solution, but not (-3,8).

tester [92]

'Of' in math means 'multiplied by,' so the equation that we can set up is:

So your answer is 320.

8 0

3 years ago

Which of the following sets of ordered pairs is a function?

svetlana [45]

Answer:

it would be D

Step-by-step explanation:

all other choices have a repeating x value.

7 0

3 years ago

. Caroline had 400 stamps in her collection. 1 10 th of them were Indian stamps, Onethird of the remaining stamps were from Euro

Ganezh [65]

Answer:

So 400 stamps

African---> 100

Indian------> 1/10 x 400

= 40

European---> 400-40=360

1/3 x 360

= 120

so 120+40+100= 260

400-260

= 140 stams from US

6 0

3 years ago

Suppose that X has an exponential distribution with mean equal to 10. Determine the following: a. P(X > 10) b. P(X > 20) c

GrogVix [38]

Answer:

(a) The value of P (X > 10) is 0.3679.

(b) The value of P (X > 20) is 0.1353.

(d) The value of x is 30.

Step-by-step explanation:

The probability density function of an exponential distribution is:

$f(x)=\lambda e^{-\lambda x};\ x>0, \lambda>0$

The value of E (X) is 10.

The parameter λ is:

$\lambda=\frac{1}{E(X)}=\frac{1}{10}=0.10$

(a)

Compute the value of P (X > 10) as follows:

$P(X>10)=\int\limits^{\infty}_{10} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{10} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{10}\\=|e^{-0.10 x} |^{\infty}_{10}\\=e^{-0.10\times10}\\=0.3679$

Thus, the value of P (X > 10) is 0.3679.

(b)

Compute the value of P (X > 20) as follows:

$P(X>20)=\int\limits^{\infty}_{20} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{20} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{20}\\=|e^{-0.10 x} |^{\infty}_{20}\\=e^{-0.10\times20}\\=0.1353$

Thus, the value of P (X > 20) is 0.1353.

(c)

Compute the value of P (X < 30) as follows:

$P(X$

Thus, the value of P (X < 30) is 0.9502.

(d)

It is given that, P (X < x) = 0.95.

Compute the value of <em>x</em> as follows:

$P(X$

Take natural log on both sides.

$ln(e^{-0.10x})=ln(0.05)\\-0.10x=-2.996\\x=\frac{2.996}{0.10}\\ =29.96\\\approx30$

Thus, the value of x is 30.

7 0

3 years ago

If z=3 and z*y=12 what does y+5 equal

mart [117]

Z = 3 (This equation is a given)

z(y) = 12 ( This equation is also given)

3y = 12 (as z = 3, plug 3 into z)

3y/3 = 12/3 (isolate the y by dividing 3 to both sides)
* you divide 3 to both sides because of the equal sign. What you do to one side you do to the other
y = 4 (answer for y)

y + 5 (what you are solving for)

(4) + 5 = 9 (As y = 4, plug in 4 for y in this equation)

y + 5 = 9 (4 + 5 = 9, or addition property)

9 is your answer

hope this helps

5 0

3 years ago