The length of ST is 10 units, the length of S't" is 2 units.
This means the dilated figure was decreased by a factor of 5.
Because it is smaller it would be a scale factor of 1/5 ( 0.2 as a decimal).
Step-by-step explanation:
The battery of setup 'a' is the strongest, this is indicated by the glowing of the bulb, as we can see the bulb is the brightest at the setup 'a'. Next moving on to the setup 'b', in this setup, the bulb is glowing a bit dimmer than the setup 'a', hence we can find out that setup 'b' battery strength is a little less than 'a'. Now coming to setup 'c', here we see that the bulb is not even glowing which indicates that the battery has no strength or that it has been used up.
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Answer: 0.8461
Step-by-step explanation:
Given : 
Let x be the random variable that represents the cost for the hospital emergency room visit.
We assume that cost for the hospital emergency room visit is normally distributed .
z-score for x=1000 ,
![z=\dfrac{1000-1400}{392}\approx-1.02\ \ \ [\because z=\dfrac{x-\mu}{\sigma}]](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B1000-1400%7D%7B392%7D%5Capprox-1.02%5C%20%5C%20%5C%20%5B%5Cbecause%20z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5D)
Using z-value table , we have
P-value =P(x>1000)=P(z>-1.02)=1-P(z≤ -1.02)=1-0.1538642
=0.8461358≈0.8461 [Rounded nearest 4 decimal places]
Hence, the probability that the cost will be more than $1000 = 0.8461
Answer:
10m
Step-by-step explanation:
Recall that the perimeter of a rectangle
= (2 x Long Side) + (2 x Short Side)
we are given that each of the long side = 20m and the perimeter is 60m
substituting these into the equation,
60 = (2 x 20) + (2 x Short Side)
60 = 40 + (2 x Short Side) (subtract 40 from both sides)
60-40 = (2 x Short Side)
(2 x Short Side) = 20 (divide both sides by 2)
Short Side = 20 / 2 = 10m
Answer:
B) -5, -2.4, 20%, sqrt(9), 3pi
Step-by-step explanation:
sqrt(9) = 3
3pi = 3 * 3.14 = 9.42
20% = 0.2
Answer: B) -5, -2.4, 20%, sqrt(9), 3pi
