Answer:
A gasoline tank for a certain car is designed to hold 14.0 gal of gas.
a)What is the probability that a randomly selected tank will hold at most 13.7 gal?
We are supposed to find
Refer the z table for p value
p value = 0.0668
So,
The probability that a randomly selected tank will hold at most 13.7 gal is 0.0668
b)What is the probability that a randomly selected tank will hold between 13.4 and 14.3 gal?
We are supposed to find
P(x<13.4)=P(z<-3)= 0.0013
P(x<14.3)= 0.9332
The probability that a randomly selected tank will hold between 13.4 and 14.3 gal is 0.9319
(c) If two such tanks are independently selected, what is the probability that both hold at most 14 gal?
We are supposed to find
Refer the z table for p value
p value = 0.5
So,
Two such tanks are independently selected, the probability that both hold at most 14 gal = 0.5 * 0.5 = 0.25
Hence If two such tanks are independently selected, the probability that both hold at most 14 gal is 0.25
The complete question is:
Joni translates a right triangle 2 units down and 4 units to the right. How does the orientation of the image of the triangle compare with the orientation of the preimage?
The orientation (will/will not) be the same.
Answer:
- <u><em>The orientation will be the same</em></u>
Explanation:
The <em>orientation</em> of a figure is described by the angles of its sides with respect to some cartesian axis system.
The figure is said to be translated.
<em>Translation</em> consits in sliding the figure without changing the orientation: all the angles with respect to the original axis system remain unchanged.
When <em>Joni translates a right triangle 2 units down and 4 units to the right</em>, the triangle is just shifted down and to the right, but the <em>orientation </em>will not change; it <em>will remain the same</em>.
Answer:
The simplest ratio would be 5:3
Step-by-step explanation:
Both 10 and 6 can be divided by 2.
They turn into 5 and 3.
Since you can't make 5 and 3 any smaller, this will be the answer.
5:3
Hope this helped! :D