Answer:
x=0.450765 or x=−0.950765
Step-by-step explanation:
14x² + 7x - 6
→ Find the product, sum and factors
Product = -6
Sum = 7
Factors = No factors
→ Since there are no factors utilise the quadratic formula
→ List the values of a, b and c
a = 14
b = 7
c= -6
→ Substitute into the formula
→ Simplify
x=0.450765 or x=−0.950765
Answer:
, n < -16
Step-by-step explanation:
To write this into an inequality you need to recognize keywords. The first keyword is "sum" this means the two numbers must be added; so the first part of the inequality is 4+n. Then, it says the sum is "divided by" 2; this means both numbers must be put over two like . Finally, this is "less than" negative. Therefore, this must be an inequality with a sign opening towards -6. So the final answer is
.
To solve the inequality isolate the variable. Multiply both sides by 2, so the new inequality is . Next, subtract 4 from both sides. The answer is n < -16.
Answer:
95% Confidence Interval: (94.08,101.92)
Step-by-step explanation:
We are given the following in the question:
Sample mean, = 98
Sample size, n = 36
Alpha, α = 0.05
Population standard deviation, σ = 12
95% Confidence Interval:
Formula:
Putting the values, we get,