Answer: The scale factor is 1.3 .
Step-by-step explanation:
Given: The first hexagon is dilated to form the second hexagon.
The side length of first hexagon=5 units.
The side-length of second hexagon= 6.25 units
When a shape having measure x is dilated by using a scalar factor of k, then the side measure (y) of the image is given by:-

Substitute, y=6.5 and x=5 to find the value of k we get

Hence, the scale factor is 1.3
Answer:
The square root of a prime number is always an irrational number, then the product of the square root of a prime number and a nonzero rational number is equivalent to:
"the product of an irrational number and a rational number different than zero...."
We know that the product of an irrational number and a rational number (different than zero) is ALWAYS an irrational number.
Then "When is the product of the square root of a prime number and a nonzero rational number a rational number?"
Never, the product will always be irrational.
Simply cross multiply and simplify to get a = 11
Hope this helped!! xx
Answer:
A) attached below
B) 0.61
C) 0.47
Step-by-step explanation:
Given data:
Total number of lizards infected = 38
Of the 15 species B lizards 40% survived
For specie C one more survived than died
Out of the 24 lizards that died 1/3 were species A
<u>A) contingency table </u>
attached below
<u>B) Determine the proportion of these lizards in this study that were either specie A or Specie B </u>
P ( A or B ) = ( 8 + 15 ) / 38 = 0.605 ≈ 0.61
<u>C) determine the probability that specie C lizard did not study </u>
P ( not surviving | C ) = 7 / 15 = 0.466 ≈ 0.47
Answer:
32 cents
Step-by-step explanation:
Find 8.25 percent of 3.90:
0.0825*3.90 = 0.32