5
units
10 for the second one ..
Answer:
3.2ft long shadow
Step-by-step explanation:
In this problem we are given a ratio between the tree/shadow and woman/shadow therefore we are given 3 values and 1 unknown then we can use the Rule of Three to calculate the length of the shadow which we will refer to as x. The Rule of Three simply multiplies the diagonal values and divides by the third value in order to get the missing unknown like so...
55ft tall <======> 32ft long shadow
5.5ft tall <======> x ft long shadow
(5.5 * 32) / 55 = 3.2ft long shadow
Finally, we can see that the woman's shadow would be a 3.2ft long shadow
<h2>Greetings!</h2><h3>When multiplying two roots together that are the same inside the root, you can simply multiply the two roots together:</h3>
x
= 2
<h3>Then you can multiply this product by the number infront of the first root:</h3>
2 x 4 = 8
<h3>So the answer would be 8!</h3><h2>Hope this helps!</h2>
Answer:
We need a sample size of least 119
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:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Sample size needed
At least n, in which n is found when 
We don't know the proportion, so we use
, which is when we would need the largest sample size.






Rounding up
We need a sample size of least 119
The answer would be B. -2 < x < 2 because if you look at the graph, the range would be left and right. So, the farthest to the left would be -2 and the farthest to the right would be 2.
It wouldn't be all real numbers.
<em>Hope this helps! - from peachimin</em>