Well, we can input both variables to check and see if the numbers hold.
-691 = -51(-15) - 74
-691 = 765-64
-691 = 701
(-15, -691) does not make the equation true.
Given:
Compound shape
To find:
The area of the compound shape.
Solution:
The compound shape is splitted into two parallelograms.
<u>Bottom parallelogram:</u>
Base = 7.5 cm
Height = 5 cm
Area of the parallelogram = base × height
= 7.5 × 5
= 37.5 cm²
The area of the Bottom parallelogram 37.5 cm².
<u>Top parallelogram:</u>
Base = 7.5 cm
Height = 4.5 cm
Area of the parallelogram = base × height
= 7.5 × 4.5
= 33.75 cm²
The area of the top parallelogram 33.75 cm².
Compound shape = 37.5 + 33.75
= 71.25 cm²
The area of the compound shape is 71.25 cm².
Answer:
3) 0.326
Step-by-step explanation:
Total Number of surveyed households =125
We want to determine the probability that a randomly selected household would have a laptop given that it does not have a tablet.
Written in Probability notation: P(Laptop|No Tablet)
The correct option is C,
The problem is an arithmetic sequence with:
a₁ = 206,300
an = 208,400
n = 2013 - 2000
n = 13
To find the annual increase, use this following formula
an = a₁ + d(n - 1)
d represents the annual increase
Input the numbers
an = a₁ + d(n - 1)
289,400 = 206,300 + d(13 - 1)
289,400 = 206,300 + 12d
289,400 - 206,300 = 13d
83,100 = 12d
12d = 83,100
d = 83,100/12
d = 6,925
The annual increase is $6925
Answer:
See explanation below
<u>Step-by-step explanation:</u>
range = 2200 - 300 = 1900
To find standard deviation, we have:
standard deviation = range/4 = = 475
The range rule of thumb estimate for the standard deviation is 475
Given:
Standard deviation, = 475
Margin of Error, ME = 100
= 1 - 0.90 = 0.10
Za/2 = Z0.05 = 1.64
Find sample size, n:
n ≥
n ≥
n ≥ 60.68
≈ 61
Minimun sample size,n = 61