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 rectangular garden is 50 x 10 = 500 square feet.
The perimeter of the rectangular garden is 50 + 50 + 10 +10 =120 feet.
The perimeter of the square also needs to be 120 because it is using the same amount of fence.
Divide 120 by 4 sides: 120/4 = 30
Each side of the square garden would need to be 30 feet.
The area of a square is Side^2, 30^2 = 900 square feet.
The square is 900 - 500 = 400 square feet more.
Answer:
Step-by-step explanation:
1 in²=6.45 cm²
598 cm²=x in²
1 in² x in²
______ = _______
6.45cm² 598cm²
Cross multiply
6.45x=598
divide both sides by 6.45
x=92.7 in²
Answer=92.7 in²
Answer:
x = 4
option C)
Step-by-step explanation:
Triangle TSQ and QSR are congruent by considering HL congruency (Hypotenuse and leg of a right) which is that if hypotenuse SQ and one corresponding leg TQ and QR are equal in both triangles then both triangles are congruent.
so there corresponding angles will also be equal
<h3>2x + 13 = 21</h3>
2x = 21 - 13
2x = 8
x = 8/2
x = 4