Solve for x algebraically:

1 answer:

5 0

THE GIVEN QUESTION; 7x -3(4x-8) < 6x +12 - 9x THE GIVEN INTERVAL OF X IS FROM [4,8] SO THE VALUE OF X ={4,5,6,7,8} THE GIVEN QUESTION CAN BE EVALUATED TO 7x - 12x+ 24 < 12 - 3x -5x + 24 < 12 - 3x //USING BODMAS RULE NOW SUBSTITUTING THE VALUE OF X: 1) X=4 SOL: 4<0 2) X=5 SOL: -1<-3 3) X=6 SOL: -6<-6 4) X=7 SOL: -11<-9 5) X=8 SOL: -16<-12 HENCE THE VALUE OF X=7,8 SATISFY THE GIVEN INEQUALITY

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(a) See Explanation

(b) $\bar x =50$ and $\sigma_x = 0.8944$

(d) $P(\bar x > 55) = 0$

Step-by-step explanation:

Given

$\mu = \$50$ -- mean

$\sigma = \$20$ --- standard deviation

$n=500$ --- sample size

Solving (a): The reason we can't determine the probability that an amount to access internet by a household will exceed $55.

The question says that a lot of households pay low rates, but the percentage of the households in this category is not given. This means that it is impossible to determine the shape of the distribution.

Hence, the probability cannot be calculated.

Solving (b): Sample mean and Sample standard deviation

The sample mean estimates the population mean

So:

$\bar x =\mu$