Answer:
<em>D = 41</em>
Step-by-step explanation:
y = ax² + bx + c
The discriminant D = b² - 4ac tells the types of roots the equation has.
If D < 0 , then quadratic equation has no real roots, has two imaginary roots.
If D = 0 , then quadratic equation has one real root.
If D > 0 , then quadratic equation has two distinct real roots.
~~~~~~~~~~~~
x² + 5x - 4
a = 1, b = 5, c = - 4
<em>D </em>= 5² - 4(1)(- 4) = 25 + 16 =<em> 41</em>
Complete question :
A zoologist is interested in whether climate affects how high kangaroos can jump. In a random sample of gray kangaroos from an Australian forest, he found the mean jump height was x¯=286 inches with a margin of error of 15 inches.
Construct a confidence interval for the mean jump height of gray kangaroos.
Answer:
(271, 301)
Step-by-step explanation:
Given that:
Mean (x¯) = 286
Margin of Error = 15 inches
The confidence interval :
(Mean - Margin of Error), (mean + margin of error)
(286 - 15), (286 + 15)
(271, 301)
Hence confidence interval equals : (271, 301)
Order because is to greatest to leats
Answer:
$5327
Step-by-step explanation:
Use the formula for calculating compound interest
A(t)=P(1+r/n)^n⋅t,
where A(t) is the balance of the account, P is the principal, r is the annual interest rate (as a decimal), n is the number of times the interest is compounded each year, and t is the time (in years). We are given that P=$3,900, r=0.021, n=1, and t=15. Substituting the values into the formula and using a calculator to evaluate, we find
A(t)=P(1+r/n)^n⋅t = $3,900(1+0.0211)^(15)(1) ≈ $5,326.61
So the final answer is $5,327.
The improper fraction would be 2071/1000
