Answer:
Scale factor = ½
Step-by-step explanation:
The original image is the preimage = ∆ACB
The new image is the image = ∆DFE
The scale of factor of dilation = image/preimage = DF/AC
DF = 6 cm (given)
AC = 12 cm (given)
Plug in the values into the equation to find the scale factor of dilation:
Scale factor = 6/12
Scale factor = ½
The experimental probability of correctly guessing at random exactly zero correct answers is (4/5)⁵
<h3>What is Probability?</h3>
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, total multiple choice quiz = 5 questions
Each question contains 5 choices in which 1 choice is correct and remaining 4 are incorrect.
Possibility of first wrong choice = 4/5
Possibility of second wrong choice = 4/5
Possibility of third wrong choice = 4/5
Possibility of fourth wrong choice = 4/5
Possibility of fifth wrong choice = 4/5
Overall probability for Zero correct answer=(4X4X4X4X4)/(5X5X5X5X5)
= (4/5)⁵
Thus, the experimental probability of correctly guessing at random exactly zero correct answers is (4/5)⁵
Learn more about Probability from:
brainly.com/question/11234923
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Answer:
Step-by-step explanation:
Given
Initially, he drank 3 pints of water
Then, 
more cups
Required
How many cups did Ian drink altogether
This question can be solved by adding the size of water he drank during the hike and when he got home
i.e.
But the answer should be in cups;
So, number of pints has to be converted to number cups
Given that 1 pint = 2 cups;
3 pints will be 3 * 2 cups
3 pints = 6 cups;
So,
Altogether, he drank 
of water
Answer:
Step-by-step explanation:
A)
"In the last 2.5 years, the water level has decreased 0.75 feet."
In the very first statement it has been stated that over the last 2.5 years, the water level in a lake has changed by -0.3 feet per year. That means in the last 2.5 years , total decrease in level is as follows
2.5 x - 0.3 = - .75 ft .
So the statement is true.
B)
"The overall change of the water level after 7.5 years will be -2.75 feet."
This statement appears to be false based on information provided
No prediction regarding rate of decrease for a period beyond 5 year has been made so any statement with respect to a timeline of 7.5 years may turn out to be false.
C)
"The change in water level each year for the next 5 years will be -0.4 feet.
"
This statement prima-facie appears to be true because rate of decrease stated in the statement is 0.4 ft /year for next 5 years .
D )
"The overall change in water level for the next 5 years is equal to 5(0.4)"
this statement is true
as change in one year = .4
change in 5 years = 5 x .4
Answer:
1) B. n ≥ 3
2)A. 5x – 9
Step-by-step explanation:
1)
If the least value of n is 3 then all the values of n must be greater or equal to 3
Thus the correct option is B :n ≥ 3
2)
Given:
Milo's age is 9 years less than 5 times Pearl's age
Pearl's age is x years
5 times Pearl's age= 5x
then milo's age= 5x-9
so the correct option is A. 5x – 9 !
