Answer:
Step-by-step explanation:
The formula for distance is:
Where (x₁, y) and (x₂, y₂) are the points.
We are given (-6, 6) and (-3, 3). If we match the value and its corresponding variable, we see that:
- x₁= -6
- y₁ = 6
- x₂ = -3
- y₂ = 3
Substitute the values into the formula.
Solve inside the parentheses.
- -3 --6 = -3+6 = 3
- 3-6 = -3
Solve the exponents.
- (3)²= 3*3= 9
- (-3)²= -3*-3 =9
Add.
Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 2 in the tenth place.
The distance between the two points is apprximately <u>4.2</u>
Answer:
120 cm^3
Step-by-step explanation:
the edges are 4 cm 5 cm 6 cm
volume of cuboid=l×b×h
=4cm×5cm×6cm
=120cm^3
Answer:
125
Step-by-step explanation:
It is false that city parks are part of the natural environment.
Since we are the ones who built them, they couldn't have been created by nature.
Answer:
0.2061
Step-by-step explanation:
Probability (no crash) = 66% = 0.66
Average (no crash) expected out of 152 computers = 0.66 (152) = 100.32
Standard deviation 's' = √ [ (154) (0.66) (1-0.66) ] = √ (154) (0.66) (0.34)
= √ 34.5576 = 5.87
P (x <u>></u> 96) = 1 - P (x <u><</u> 95)
z= (x - u) / s ; x = sample mean = 95.5 (continuity correction factor = 0.5) , u = population average = 100.32
z = (95.5 - 100.32) / 5.87 = 4.82 / 5.87 = 0.82
P (x <u><</u> 95) = P (z <u><</u> 0.82) = 0.7939
P (x <u>></u> 96) = 1 - 0.7939 = 0.2061
