Answer:
0.8224
Step-by-step explanation:
Data
- standard deviation, sd: $10
- first value of interest, x1: $63
- second value of interest, x2: $90
z-score for x1:
z1 = (x1 - mean)/sd = (63 - 76)/10 = -1.3
z-score for x2:
z2 = (x2 - mean)/sd = (90 - 76)/10 = 1.4
The proportion of wrist watch prices are between $63 and $90 is:
P(z1 < z < z2) = P(z < 1.4) - P(z < -1.3)
P(z < 1.4) = 0.9192 (see first picture attached)
P(z < -1.3) = 0.0968 (see second picture attached)
P(z1 < z < z2) = 0.9192 - 0.0968 = 0.8224
To divide 54,164 by 44, we start from the first digit.
First we take the first 2 digits: i.e. 54 divided by 44, which gives 1 remainder 10.
Next, we join the next digit to the remainder and divide again by 44: i.e. 101 divided by 44, which gives 2 remainder 13.
Next, we join the next digit to the remainder and divide again by 44: i.e. 136 divided by 44, which gives 3 remainder 4.
Next, we join the next digit to the remainder and divide again by 44: i.e. 44 divided by 44, which gives 1.
We now joining all the results from our algorithm, to get that 54,164 divided by 44 is 1,231.
Answer:
dissect the trapezium into a square and triangle. since the triangle is a right angled one the base is 17-7=10cm
the height is found using Pythagorean theorem to be 24cm i.e 26²=x²+10²,x=√(676-100),x=√576,x=24cn
area of trapezium is (1/2)(a+b)h
a is the shorter side and b the longer side
(1/2)*(7+17)24
=288cm²
Answer:
(x+2)(x+3)(x-3)
Step-by-step explanation:
Group and factor out the greatest common factor (GCF), then combine.
Hope this helps!!