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3 years ago

find the length, width and area of the rectangle formed by the pints R(-2,3), S(4,3), T(4,-1) and U (-2,-1)

Mathematics

1 answer:

Semenov [28]3 years ago

4 0

check the picture below.

you can pretty much count the units off the grid, and thus get the area as well.

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A map of the park can be divided into a grid of 9^2 equal sections of land. It is estimated that there are 9^6 ants per section

kenny6666 [7]

Answer:

9^8

Step-by-step explanation:

The total number of ants is

(total number of sections)(ants in each section).

let x be the total number of ants.

Substitute the given values.

x = (9^2)(9^6)

x = 9^(2+6) <= exponent rule: when multiplying exponents with the same base, add the exponents.

x = 9^8

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3 years ago

Please help , this will really help my grade!!!

Sauron [17]

Step-by-step explanation:

Because 3x+8 is not equal to 3x-5

3x cancel out for both side and +8 is not equal to -5

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3 years ago

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anyanavicka [17]

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3 years ago

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A coin is tossed 8 times. What is the probability of getting all heads? Express your answer as a simplified fraction or a decima

kumpel [21]

Answer:

The probability of getting all heads is $\frac{1}{256}$ .

Step-by-step explanation:

For each time the coin is tossed, there are only two possible outcomes. Either it is heads, or it is not. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

In this problem, we have that:

A coin is tossed 8 times. This means that $n = 8$

In each coin toss, heads or tails are equally as likely. So $p = \frac{1}{2}$

What is the probability of getting all heads?

This is $P(X = 8)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$[tex]P(X = 8) = C_{8,8}*(\frac{1}{2})^{8}*(1 - \frac{1}{2})^{0}$ = $\frac{1}{256}$

The probability of getting all heads is $\frac{1}{256}$ .

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3 years ago

Isabella placed $5,000 in a savings account which earns 5.3% interest, compounded every year. How much will she have in

saw5 [17]

Answer:

912

Step-by-step explanation:

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3 years ago