Answer: the minimum score required for an A grade is 81
Step-by-step explanation:
Since the scores on the test are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = scores on the test.
µ = mean score
σ = standard deviation
From the information given,
µ = 70.8
σ = 8.6
The probability value for the top 13% of the scores would be (1 - 13/100) = (1 - 0.13) = 0.87
Looking at the normal distribution table, the z score corresponding to the probability value is 1.13
Therefore,
1.13 = (x - 70.8)/8.6
Cross multiplying by 8.6, it becomes
1.13 × 8.6 = x - 70.8
9.718 = x - 70.8
x = 9.718 + 70.8
x = 81 to the nearest whole number
The area of the rectangle is simply width times length.
Hence, A = w*l = (6/5)*12 = 72/5 = 14.4 square inches (ANSWER)
From SOH CAH TOA, you know that
cos(72°) = 6/x
x = 6/cos(72°) ≈ 6/0.309017
x ≈ 19.42
Answer:
x = 90
Step-by-step explanation:
If lines A and B were parallel , then
∠ 1 and ∠ 4 are corresponding angles and congruent, so
3x - 160 = x + 20 ( subtract x from both sides )
2x - 160 = 20 ( add 160 to both sides )
2x = 180 ( divide both sides by 2 )
x = 90
Ok log properties
and
and
so
pemdas
first make like fractions so we can combine
times first fraction by 4/4 and second by 3/3
combine fractions
now move fractions up
now the other part
we need to combine that
with that
by make it als a fraction of common denomenator of 12
multiply
by 12/12
move the coefient to expoment
now conbine fractions
apply log property