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( -7v 4 - 5v ) - ( -5v 3 - 2v ) + ( -7v - 6v 4 - 4v 3 ) simplified

Answers

Answer 1

Answer:

Answer:

-13v^4 + v^3 - 10v (if simplified)

Step-by-step explanation:

combine like terms

(-7v^4 - 5v) - (-5v^3 - 2v)+ ( - 7v - 6v^4 - 4v^3)

-7v^4 + -6v^4 = -13v^4

-5v^3 + -4v^3 = v^3 (the five becomes positive because of the negative sign infront of the parenthesis) Example: -(-5v^3) = +5v^3

-13v^4 + v^3 -5v -(-2v) -7v (now we have the -2 left alone in the parenthesis which means it becomes positive too) Example: -(-2v) = +2v

-5v +2v - 7v = -3v -7v = -10v

Answer: -13v^4 + v^3 - 10v

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What two numbers is the square root of 74 between?

Answers

Answer:

8 and 9

Step-by-step explanation:

√64 = 8

√81 = 9

√74 falls inbetween those 2

8 and 9
8*8=64
9*9=81
74 is between those

A manufacturing company has two retail outlets. It is known that 40% of all potentialcustomers buy products from outlet 1 alone, 35% buy from outlet 2 alone, and 10% buy fromboth 1 and 2. LetAdenote the event that a potential customer, randomly chosen, buys fromoutlet 1, and letBdenote the event that the customer buys from outlet 2. Suppose a potentialcustomer is chosen at random. For each of the following events, represent the eventsymbolically and then find its probability.Required:
a. The customer buys from outlet 1.
b. The customer does not buy from outlet 2.
c. The customer does not buy from outlet 1 or does not buy from outlet 2.
d. The customer does not buy from outlet 1 and does not buy from outlet 2.

Answers

Answer:

$P(A) = 0.50$

$P(B') = 0.55$

$P(A' U B') = 0.775$

$P(A'B') = 0.275$

Step-by-step explanation:

Given

$P(A\bar B) = 40\%$ --- From outlet 1 alone

$P(\bar A B) = 35\%$ --- From outlet 2 alone

$P(AB) = 10\%$ --- From both

Solving (a): Buys from outlet 1;

This is represented as: P(A) and the solution is:

$P(A) = P(A\bar B) + P(A B)$

$P(A) = 40\% + 10\%$

$P(A) = 50\%$

$P(A) = 0.50$

Solving (b): Does not buy from outlet 2;

This is represented as: P(B'):

First, calculate the probability that the customer buys from 2

$P(B) = P(\bar AB) + P(A B)$

$P(B) = 35\% + 10\%$

$P(B) = 45\%$

$P(B) = 0.45$

Using the complement rule, we have:

$P(B') = 1 - P(B)$

$P(B') = 1 - 0.45$

$P(B') = 0.55$

Solving (c): Does not buy from 1 or does not buy from 2

This is represented as: $P(A' U B')$

And the solution is:

$P(A' U B') = P(A') + P(B') - P(A'B')$

$P(A' U B') = P(A') + P(B') - P(A') * P(B')$

Using complement rule:

$P(A') = 1 - P(A)$

$P(A') = 1 - 0.50$

$P(A') = 0.50$

The equation becomes:

$P(A' U B') = 0.50 + 0.55 - 0.50 * 0.55$

$P(A' U B') = 0.775$

Solving (d): Does not buy from 1 or does not buy from 2

This is represented as:

$P(A'B')$

And it is calculated as:

$P(A'B') = P(A') * P(B)'$

$P(A'B') = 0.50 * 0.55$

$P(A'B') = 0.275$

Insert <, >, or = between the given pair of numbers to make a true statement.- |-11| - (-11)

Answers

Answer:

- |-11| < - (-11)

Step-by-step explanation:

Given the pair of numbers - |-11| and - (-11), we want to determine which is greater or whether they are equal

First lets rewrite both numbers.

- |-11| = -11 (note that the modulus sign will change any negative value into a positive value and that's why |-11| is equivalent to 11)

- (-11) = 11 (note that the negative sign here was retained since it is not an absolute value like the former)

It can be seen that both numbers are therefore not equal i.e - |-11| is less than - (-11). Hence the expression - |-11| < - (-11) is a true statement

Find the ratio in simplest form. 30 minutes to 2 hours

Answers

The ratio in its simplest form is 1/4.

We need to determine the ratio in the simplest form between 30 minutes and 2 hours.

To obtain the required ratio, the calculation must be done in a single unit of measurements, therefore change the hour calculation into minutes.

We know that 1 hour is equivalent to 60 minutes.

Therefore,

$\begin{aligned}2\;\rm{hours}&=2* 60 \;\rm{minutes}\n&=120\;\rm{minutes}\end{aligned}$

Thus, the required ratio is calculated below:

$\begin{aligned}\rm{ratio}&=(30)/(120)\n&=(1)/(4) \end{aligned}$

Hence, the ratio in its simplest form is 1/4.

For more information about Ratio click the link given below.

brainly.com/question/1936240

1:4 as there is 1 30 minutes in 30 minutes and 4 30minutes in 2 hours

The number of traffic accidents that occur on a particular stretch of road during a month follows a poisson distribution with a mean of 7.37.3. find the probability of observing exactly four four accidents on this stretch of road next month. round to six decimal places.

Answers

Let X be the number of traffic accidents that occur on a particular stretch of road during a month. X follows a Poisson distribution with a mean of μ =7.3

The probability function of X is given by

P(X=x) = $(e^(-mean) (mean)^(x))/(x!)$