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Verdich [7]
3 years ago
13

Select all of the following expressions that are equivalent to 0.36. (0.6)2 (-0.3) + (-0.06) |-3 + 2.64| -(-0.36) 2x - 1.64x

Mathematics
2 answers:
Serjik [45]3 years ago
7 0
The first one,  and the fourth one
Masja [62]3 years ago
5 0

Answer:

(0.6)^2

|-3 + 2.64|

-(-0.36)

Step-by-step explanation:

In first option,

(0.6)^2=0.36

In second option,

(-0.3)+(-0.06)=-0.30-0.06=-0.36

In third option,

|-3 + 2.64|=|-0.36|=0.36

In fourth option,

-(-0.36)=0.36

In fifth option,

2x-1.64=0.36x

Hence, the expression that are equivalent to 0.36 are,

(0.6)^2

|-3 + 2.64|

-(-0.36)

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Answer:

The coordinates of B is (5,-2)

Step-by-step explanation:

In order to find the coordinates of B, you have to use midpoint formula. Then substitute the following values into the formula :

m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )

Let (x1,y1) be A (-3,-6),

Let (x2,y2) be B,

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by \: comparison, \:

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3 years ago
the first four terms of a geometric progression are 2,10,50,250 a) write down the common ratio of the progression b) write down
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aleksley [76]

Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used to solve this question.

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.

70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

This means that p = 0.7

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This means that n = 5

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This is P(X = 5). So

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b. At least four qualify for the favorable rates

This is

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So

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P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283

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