Answer:
No real roots
Step-by-step explanation:
Given
7x² + 5x + 1 = 0 ← in standard form
with a = 7, b = 5, c = 1
To determine the nature of the roots use the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 then roots are real and distinct
• If b² - 4ac = 0 then roots are real and equal
• If b² - 4ac < 0 then the roots are not real
Here
b² - 4ac = 5² - (4 × 7 × 1) = 25 - 28 = - 3
Thus the 2 roots are not real
Answer:
3 - 12 = -9°C
So the temperature in the end of the days was -9°C
Complete question :
A test consists of 10 multiple choice questions. Each question has 5 choices. To pass the test, a student must answer at least 6 questions correctly. If a student guesses on each question, the probability of getting it right is 20%. What is the probability that the student will pass the test?
Answer:
0.006370
Step-by-step explanation:
Number of options = 5, with only one correct,hence, p = 1/5 = 0.2
Number of questions = 10
Number of correct answers required to pass = 6
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
p = 0.2 ; 1 - 0.2 = 0.8
n = 10 ; x = 6
P(x ≥ 6) = p(6) + p(7) + p(8) + p(9) + p(10)
The formula above can be used to obtain the individual probabilities then taking the sum or we can obtain the solution using a calculator ;
Using a binomial probability distribution calculator with the parameters given :
P(x ≥ 6) = 0.0063693824
= 0.006370 ( 4 decimal places)
Answer:
Data collected shows that the more you water, the larger your plant will grow. If you use the following Equation, y = 1/2x + 2 How tall will a plant be at 25 weeks if x is the number of weeks watered and y represents the height of the plant? Show your work.
Step-by-step explanation:
(x , y) = (-4 , 6) There you go
