All categories

4 years ago

-8x+4+(-3). Combine like terms, making zeros, and using distributive property.

Mathematics

1 answer:

WINSTONCH [101]4 years ago

8 0

The answer -8x+1 because you can add the constant so the constant will be 1. So you can type or write -8x+1.

You might be interested in

Write an expression for “5 more pounds than joe”

LenKa [72]

Answer:

x+5

Step-by-step explanation:

Since you don't know how much Joe weighs, you can express his weight as x. Then, you add on 5 because you have 5 more lbs than joe (which is x).

3 0

3 years ago

2. Jessica's grandparents gave her $2000 for college to put in a savings account until she starts

rodikova [14]

Answer:

<em>I </em>=2000(0.075)4= $600

Step-by-step explanation:

6 0

3 years ago

What is the slope of the line through (1,0) and (3, 8)?

djverab [1.8K]

Answer:

Step-by-step explanation:

the equation for slope: (y2-y1)/(x2-x1)

the points are (1,0), and (3,8)

we can label them

x1=1

y1=0

x2=3

y2=8

now, substitute into the equation (m=slope)

m=(8-0)/(3-1)

m=8/2

m=4

7 0

3 years ago

There are three numbers a b and c where a>b and b>c describe the position of the number on the number line

Nikolay [14]

C is the farthest to the left, because it is the smallest, followed by b and then a being the farthes to the right because it is the biggest

6 0

4 years ago

he time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the a

Eva8 [605]

Answer:

The answer is below

Step-by-step explanation:

The time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the answers to 3 decimal places.

(a) What is the probability that more than three aircraft arrive within an hour?

(b) If 30 separate one-hour intervals are chosen, what Is the probability that no interval contains more than three arrivals?

(c) Determine the length of an interval of time (in hours) such that the probability that no arrivals occur during the interval is 0.1.

Solution:

a) A poisson distribution is given by the formula:

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

λ = 1 hour

Therefore:

P(X > 3) = 1 - P(X < 3) = 1 - [P(X = 0) + P(X = 1) + P(X = 2) + P(x = 3)]

$P(X=0)=\frac{e^{-1}*1^0}{0!}=0.3679$

$P(X=1)=\frac{e^{-1}*1^1}{1!}=0.3679$

$P(X=2)=\frac{e^{-1}*1^2}{2!}=0.1839$

$P(X=3)=\frac{e^{-1}*1^3}{3!}=0.0613$

P(X > 3) = 1 - [0.3679+0.3679 + 0.1839 + 0.0613] = 0.019

b) Assuming 30 1 hour intervals, hence:

$P(X \leq 3)^{30}=[1-P(X\geq 30)]^{30}=(1-0.019)^{30}=0.5624$

c) mean = 1 hour

mean = 1 / λ

1 = 1 / λ

λ = 1

The cumulative distribution function of a continuous variable is:

$F(x)=1-e^{-\lambda x}$

$0.1=1-F(x)\\\\0.1=1-(1-e^{- x})\\\\0.1=e^{- x}\\\\-x=ln(0.1)\\\\-x = -2.3\\\\x=2.3\ hours$

4 0

3 years ago