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3 years ago

Simplify -2 1/9 -(-4 1/3)

Mathematics

2 answers:

ololo11 [35]3 years ago

8 0

The answer to this is 20/9

vesna_86 [32]3 years ago

3 0

Answer:

$\frac{20}{9}$ or $2 \frac{2}{9}$

You might be interested in

How much will it cost to print a circular sign with a radius of 1.5 feet if the printing company charges $29 per square foot? Us

RUDIKE [14]

Answer:

$204.89

Step-by-step explanation:

Step 1

We have to first find the area of the circular sign.

Since the sign is circular in shape, we use the Area of Circle.

Area of a Circle = πr²

r = 1.5 feet

π = 3.14

Area of a Circle = 3.14 × 1.5²

= 7.065ft² or 7.065 square feet.

Step 2

We find out how much it cost to print the circular sign.

We are told in the question that

The printing company charges $29 per square foot

Hence,

1 square foot = $29

7.065 square feet =

Cross multiply

= 7.065 × $29

=$ 204.885

Approximately to the nearest cent, $204.89

Therefore, it will cost $204.89 to print the circular sign

7 0

3 years ago

I need this problem solved

Ahat [919]

Answer:

Step-by-step explanation:

4 0

2 years ago

How many ways can a teacher create a seating chart for a class of 25 students, with 25 chairs?

Verizon [17]

The number of ways a teacher can create a seating chart is 25!

<u>Explanation:</u>

Given:

Number of students = 25

Number of chairs = 25

Number of seating chart = ?

The number of seating arrangement would be 25! as there is no repetition of a student occupying the seat.

Therefore, the number of ways a teacher can create a seating chart is 25!

7 0

3 years ago

If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Marta_Voda [28]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And for this case we want to find this probability:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

7 0

4 years ago

Read 2 more answers

1. Differentiate with respect to x:<br>

natta225 [31]

9514 1404 393

Answer:

a) y' = x^2(3x·ln(6x) +1)

b) y' = 6e^(3x)/(1 -e^(3x))^2

Step-by-step explanation:

The applicable rules for derivatives include ...

d(u^n)/dx = n·u^(n-1)·du/dx

d(uv)/dx = (du/dx)v +u(dv/dx)

d(e^u)/dx = e^u·du/dx

d(ln(u))/dx = 1/u·du/dx

(a)

$y=x^3\ln{(6x)}\\\\y'=3x^2\ln{(6x)}+\dfrac{x^3\cdot6}{6x}\\\\\boxed{\dfrac{dy}{dx}=3x^3\ln{(6x)}+x^2}$

(b)

$y=\dfrac{1+e^{3x}}{1-e^{3x}}=1+\dfrac{2}{1-e^{3x}}=1+2(1-e^{3x})^{-1}\\\\y'=-2(1-e^{3x})^{-2} (-3e^{3x})\\\\\boxed{\dfrac{dy}{dx}=\dfrac{6e^{3x}}{(1-e^{3x})^2}}$

5 0

3 years ago