Boy's brickshas determined that a brick measuring 5 inches long has a z score of +1 and a brick measuring 5.75 inches long has a z-score of 2
what is the mean length of the bricks produced at bob's bricks?
4.00 inches
4.25 inches
4.75 inches
5.25 inches

The mean length of the bricks is 4.25 inches ⇒ 2nd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- z-score = , where x is the score,

  M is the mean and α is the standard deviation

- A brick measuring 5 inches long has a z score of + 1

- A brick measuring 5.75 inches long has a z-score of 2

* Lets use the rule of z-score to find the mean length of the bricks

∵ x = 5 and z-score = + 1

∴

- By using cross multiplication

∴ α = 5 - M ⇒ (1)

∵ x = 5.75 and z-score = 2

∴

- By using cross multiplication

∴ 2α = 5.75 - M ⇒ (2)

- Substitute α in equation (2) by equation (1)

∴ 2(5 - M) = 5.75 - M

∴ 10 - 2M = 5.75 - M

Subtract 5.75 from both sides and add 2M to both sides

∴ 10 - 5.75 = 2M - M

∴ 4.25 = M

∵ M represents the mean length of the bricks

∴ The mean length of the bricks is 4.25 inches

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

4th option is correct xy=-10

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