Answer: 0.4667
Step-by-step explanation:
According to 68–95–99.7 rule , About 99.7% of all data values lies with in 3 standard deviations from population mean (
).
Here , margin of error = 3s , where s is standard deviation.
As per given , we have want our sample mean
to estimate μ μ with an error of no more than 1.4 point in either direction.
If 99.7% of all samples give an
within 1.4 , it means that

Divide boths ides by 3 , we get

Hence, So
must have 0.4667 as standard deviation so that 99.7 % 99.7% of all samples give an
within 1.4 point of μ .
Answer:

Step-by-step explanation:
For this triangle we have to

We want to find the length of b
We know that the sum of the internal angles of a triangle is 180 °
So

Now we use the sine theorem to find the length of b:

Then:

ANSWER
No real roots.
The roots are complex or imaginary.
EXPLANATION
The quadratic equation

has discriminant,

If the discriminant is less than zero , then the quadratic equation has no real roots.
The given discriminant is -9.
Since -9 is less than zero, it means the quadratic equation has complex or imaginary roots.
B + b + b + b + b + 2b = 7b (add all the variables up )
7 x 10 = 70 ( since b = 10 substitute)