I’ll assume the question is asking us to factor the above polynomial:
5x^2 + 10x - 45
Factor out a 5:
5(x^2 + 2x - 9)
This appears to be an irreducible quadratic polynomial, so let’s leave it alone.
5x^2 + 10x - 45 = 5(x^2 + 2x - 9)
Answer:
b
Step-by-step explanation:
The non-fillee dots stop at the 98 row and the 0.2 column.
98 + 0.2 = 98.2
Answer
7.21
Step-by-step explanation:
Data :
(-3,-4) , (1,2)
Where
x₁ = -3 , x₂ = 1
y₁ = -4 , y₂ = 2
Formula for distance
D = √{(x₂-x₁)² + (y₂-y₁)²}
= √{(l--3)² + (2--4)²} = √(16+36) =√52 =7.21
Answer:
A sample of 499 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is given by:

In this question, we have that:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 90% confidence level with an error of at most 0.03
We need a sample of n, which is found when
. So






Rounding up
A sample of 499 is needed.
We can solve this problem by dividing 9/12 by 2/12. We should do this because to find how many sets of something are in a number, the question is asking us to do division. Doing this, we get 9/12 * 12/2, giving us our answer of 4.5 sets of 2/12 in 9/12.