You might have to do the quadratic formula
What does the last one says
Answer:
8 and 9
Step-by-step explanation:
Let the two consecutive integers be x - 1 and x
Smaller = x-1
Largere = x
If the square of the smaller integer is nineteen more than five times the larger integer, then;
(x-1)² = 19 + 5x
Expand
x²-2x+1= 19+5x
x²-2x-5x+1-19 -0
x²-7x-18 =0
Factorize
x²-9x+2x-18 =0
x(x-9)+2(x-9) = 0
(x+2) = 0 and x - 9 = 0
x = -2 and 9
SInce x cannot be negative;
x = 9
Smaller number = 9-1
Smaller number = 8
Hence the two consecutive integers are 8 and 9
Answer with explanation:
Given : The heights of a certain population of corn plants follow a normal distribution with mean
and standard deviation 
a) Using formula
, the z-value corresponds to x= 135 will be

At x= 155, 
The probability that plants are between 135 and 155 cm tall :-

Hence, 34.73% of the plants are between 135 and 155 cm tall.
b) Sample size : n= 16
Using formula
, the z-value corresponds to x= 135 will be

At x= 155, 
The probability that plants are between 135 and 155 cm tall :-

Hence,The percentage of the samples would the sample mean height be between 135 and 155 cm.= 93.12%
Answer:
-0.1511
Step-by-step explanation:
ln(0.985) is about -0.151136, which, rounded to four decimal places, is -0.1511. Hope this helps!