Which one are these paired to the solution

Mathematics

1 answer:

Soloha48 [4]3 years ago

7 0

Answer:

Option b and d.

Step-by-step explanation:

Given equation : -5x + 4y > -7

Putting the values of x and y one by one in the options,

a) Putting x as 6 and y as 4.

=> -5(6) + 4(4) > -7

=> -30 + 16 > -7

=> -14 > -7

This doesn't satisfy the inequality, hence this couldn't be the ordered pair.

Similarly,

b) Putting x as 5 and y as 5.

=> -5(5) + 4(5) > -7

=> -25 + 20 > -7

=> -5 > -7

This satisfies the inequality, hence this is the ordered pair.

c) Putting x as 3 and y as 2.

=> -5(3) + 4(2) > -7

=> -15 + 8 > -7

=> -7 > -7

This doesn't satisfy the inequality, hence this couldn't be the ordered pair.

d) Putting x as -2 and y as -4.

=> -5(-2) + 4(-4) > -7

=> 10 - 16 > -7

=> -6 > -7

This satisfies the inequality, hence this is the ordered pair.

Hope it helps :)

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Answer:

$P(X$

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable of interest for a population, and for this case we know the distribution for X is given by:

$X \sim N(5.43,0.54)$