(2) The triangle has an area of 7 & 7/8 cm2 and a base of 5 & 1/4 cm. What is the
2 answers:
Answer:
h = 3 cm
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = bh ( b is the base and h the height )
Here A = 7 =
← expressed as an improper fraction
and b = 5 =
, thus
×
× h =
, that is
h =
Multiply both sides by 8 to clear the fractions
21h = 63 ( divide both sides by 21 )
h = 3
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Answer:
Option 3 and 4.
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:
Given that mean (μ) = 82, standard deviation (σ) = 5
1) For x = 74:
Option 1 is incorrect
2) For x < 87
From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%
Option 2 is incorrect
3) For x = 95:
Option 3 is correct
4) For x < 77
From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%
Option 4 is correct
5) For x > 92
From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%
Option 5 is incorrect