Answer: 35
Step-by-step explanation: Well <em>percent</em> means <em>over 100</em> so we can set up an equation for this problem by reading it from left to right.
<em>What</em> means <em>x</em>, <em>is</em> means <em>equals</em>, <em>25%</em> is <em>25/100</em>,
<em>of</em> means <em>times</em>, and <em>250</em> means <em>250</em>.
So we have the equation x = 25/100 · 40.
Simplifying on the right side of the equation,
notice that 25/100 reduces to 1/4.
So we have x = 1/4 · 40.
Think of the 40 as 40/1.
So we can cross-cancel 140 and 4 to 35 and 1
and we have x = (1)(35) over (1)(1) or x = 35.
Now let's check our answer back in the
original problem to see if it makes sense.
We have (35) is 25% of 140.
Well we know that 100% of 140 would be 140.
So 25% of 250 should be a lot less than 140.
So 35 seems to make sense as a pretty good answer.
I have shown my work in the image attached.
Answer:
Step-by-step explanation:
Given
there are six integers to win a lottery
case-1 Integer not exceeding 40
no of ways to choose 6 incorrect numbers
Case-2 no of ways to choose 6 incorrect numbers out of 48 integers
Case-3 no of ways to choose 6 incorrect numbers out of 56 integers
Cae-4 no of ways to choose 6 incorrect numbers out of 64 integers
Answer:
The lower bound for a 90% confidence interval is 0.2033.
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 .
For this problem, we have that:
90% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The lower bound for a 90% confidence interval is 0.2033.