Answer:
C. 
Step-by-step explanation:
Height = 4
Length = 6
Breadth = 7
Note : We were asked to find volume of the cuboid
Since, it has a base in the shape of a right angle triangle , we need to find the Area of the trapezium before calculating the total volume.
Step 1
Find the area of the trapezium
Area of a trapezium = 
Step 2
Calculate the volume of the cuboid
Volume of a cuboid =length× breadth × height
In this case , the volume will be our length × Area of a trapezium
V= 6 × 22
V =
Answer:
x=10°
y = 12°
Step-by-step explanation:
<TSV = 5x + 4x = 90°
=> 9x = 90°
Divide by 9,
x = 10°
<RSU = 10y + 10° + 5x = 180°
=> 10y + 10° + 5*10° = 180°
=> 10y + 10° + 50° = 180°
=> 10y + 60° = 180°
Subtract 60° on both sides,
10y = 180° - 60° = 120°
Divide by 10,
y = 120° / 10 = 12°
A different size but not does not change shape.
Answer:
x=5.2
Step-by-step explanation:
8x−14=7.7x+3x
Step 1: Simplify both sides of the equation.
8x−14=7.7x+3x
8x+−14=7.7x+3x
8x−14=(7.7x+3x)(Combine Like Terms)
8x−14=10.7x
8x−14=10.7x
Step 2: Subtract 10.7x from both sides.
8x−14−10.7x=10.7x−10.7x
−2.7x−14=0
Step 3: Add 14 to both sides.
−2.7x−14+14=0+14
−2.7x=14
Step 4: Divide both sides by -2.7.
−2.7x
/−2.7 =
14
/−2.7
x=−5.185185 or 5.2
Answer:
Mean = 21.3
Standard Deviation = 2.48
Step-by-step explanation:
We are given the following in the question:
p = 71% = 0.71
Sample size, n = 30
We have to find the mean and the standard deviation of those that wear glasses.
Thus, the mean of those who wear glasses is 21.3
Thus, the standard deviation of those who wear glasses is 2.48
