Answer:
Step-by-step explanation:
D(15) = 3500 -20(15)
D(15) = 3500 - 300
D(15) = 3200
In 15 hours of driving the Brown family is 3200(no unit given) away from home.
Answer:
0.25 = 25% probability that it will rain today and ruin your picnic
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Cloudy skies
Event B: Rain
20% of all days start with clouds in the air
This means that 
50% of rainy days start with rain clouds in the air
50% of 10%. So
What is the probability that it will rain today and ruin your picnic
0.25 = 25% probability that it will rain today and ruin your picnic
Answer:
311.41 degrees
Step-by-step explanation:
If 4 sin Ф = -3 and Ф is between 0 and 360 degrees, then we conclude that Ф must be either in Quadrant III or Quadrant IV (because the sine is negative).
Let's assume we're in Quadrant IV. Then sin Ф = opp / hyp = -3/4; that is, the opp side is negative and has length 3, and the hypo is positive 4.
According to the Pythagorean Theorem, (-3)^2 + x^2 = 4^2, or,
x^2 = 16 - 9 = 7.
Then x is either √7 or -√7.
To find the angle Ф, use the inverse sine function:
Ф = arcsin (-3/4). Using a calculator we get the angle -40.59 degrees, which corresponds to (360 degrees - 40.59 degrees), or 311.41 degrees. We can check this by finding the sine of 311.41 degrees; the result is -0.75, which matches "If 4sintheta = -3."
Common Factors of 32 and 36
factors of 32 = 1, 2, 4, 8, 16 and 32
factors of 36 = 1, 2, 3, 4, 6, 9, 18, 36
<span>So the common </span>factors of 32 and 36 are 1, 2 and 4.
The greatest common factor is 4
Answer:
Answer below
Step-by-step explanation:
Yo uneed to find the Area/volume
The area of the rectangle is 2×(5cm×1cm)+2(3cm×1cm)+2(5cm×3cm)=10cm+6cm+30cm=36cm^2
Volume=5cm×3cm×1cm=15cm^3
Ratio: 36cm^2/15cm^3=12cm^2/5cm^3
