Answer:
std dev = 0.625
Step-by-step explanation:
Given that weights of bags of potato chips coming from a factory follow a normal distribution with mean 12.8 ounces and standard deviation .6 ounces.
We must change std deviation such that
P(X<12) =0.01
Mean would remain the same as 12.8 oz
From normal distribution score we can find
10th percentile is -1.28\
i.e. we must have
![12.8-1.28*s = 12\\1.28s = 0.8\\s = 0.625](https://tex.z-dn.net/?f=12.8-1.28%2As%20%3D%2012%5C%5C1.28s%20%3D%200.8%5C%5Cs%20%3D%200.625)
Std deviation should be 0.625
Answer: √10, √27, and √99 are all the irrational numbers from the list.
√10 = √(5*2) = √5 * √2 ----> irrational
√27 = √(9*3) = (√9) * √(3) = 3√3 ----> irrational
√99 = √(9*11) = (√9) * (√11) = 3√11 -------> irrational
√(49) = 7 -----> rational
√(64) = 8 ----------> rational
Answer:
A. <em>ΔJKL is not congruent to ΔJ'K'L' because the rules do not represent a sequence of rigid motions.</em>
Step-by-step explanation:
ΔJKL is mapped to ΔJ'K'L' using the rules
followed by ![(x, y)\rightarrow (2x, y)](https://tex.z-dn.net/?f=%28x%2C%20y%29%5Crightarrow%20%282x%2C%20y%29)
From geometry we know while rotating, reflecting and translating the size of the figure remains as it is, so they are congruent.
But in case of dilation the figure gets resized i.e their size gets changed. So they are similar not congruent.
In this case, first the triangle goes under
i.e 2 units translated to right and 3 units translated to up.
But after then it undergoes
, where it undergoes a dilation of factor 2, so it is no more congruent to the original figure.
Answer:
∠R= 110°, ∠U= 70°, ∠T= 110°
Step-by-step explanation:
Since, RSTU is a parallelogram, therefore using the properties of parallelogram, ∠S=∠U= 70° ( Opposite angles of parallelogram are equal).
Using the property, sum of adjacent angles is equal to 180°, therefore,
⇒∠S+∠R= 180°
⇒70°+∠R= 180°
⇒∠R= 180°- 70°
⇒∠R=110°
Also, ∠R= ∠T= 110° (Opposite angles of parallelogram are equal).
Thus, ∠R=110°, ∠T= 110° and ∠U=70°