Answer:
We expect 95% of the data to fall between 4.9 and 8.1
Step-by-step explanation:
The 68-95-99.7 rule says that 95% of the data will lie between 2 standard deviations below the mean, and 2 standard deviations above the mean.
2 × SD = 1.6
6.5 - 1.6 = 4.9
6.5 + 1.6 = 8.1
We expect 95% of the data to fall between 4.9 and 8.1
The headlights of the car will hit the ground 378ft
<h3>Unitary Method: </h3>
The unitary method is a numerical process that is used to calculate any value i.e., cost or speed, or any desired quantity. In this method, we will find the desired value for 1 unit so that we can find the value for multiple units.
Here we have
The headlights on a car are set to the light beam drops 2 in. for each 21 ft measured horizontally.
The headlights are mounted 36 in. above the ground
For 2-in - 21 ft measured horizontally
Then for 1 - in = 21/2 = 10.5 ft
then for 36 in = 36 × 10.5 = 378 ft
Therefore,
The headlights of the car will hit the ground 378ft
Learn more about the Unitary method at
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1) 8
reason: radius is diameter divided by two, 16/2
2) 6
reason: diameter is radius times two, 3 × 2
3) 87.92
reason: circumfrence is pi times diameter, 28 × 3.14
4) 31.4
reason: circumfrence is pi times diameter, 10 × 3.14
6) 61.12
reason: 10 + 10 +8+8= 36 8×3.14= 25.12 36 + 25.12= 61.12
7) 69.0172
reason: 7^2× 3.14= 69.0172
8) 346.185
reason: 21÷2= 10.5 3.14×10.5^2= 69.0172
we are given that
two triangles are similar
so, the ratio of their sides must be same
we get
now, we can solve for x
step-1: Cross multiply both sides
step-2: Simplify left side
step-3: Subtract both sides by 2x
step-4: Divide both sides by 4
so,
............Answer
Answer: The answer is translation.
Step-by-step explanation: In a translation, the object is not reflected, rotated or downsized/enlarged. It is simply moved a certain distance. So this would be a translation.