Answer:
a) there is s such that <u>r>s</u> and s is <u>positive</u>
b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r
Step-by-step explanation:
a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.
b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.
I don't know the answer, but I suggest downloading the app: PhotoMath. It scans a math problem and shows you how to complete the problem. I hope this helped~!
Answer: 0.2643
Step-by-step explanation:
Given : The proportion of adults are unemployed : p=0.077
The sample size = 300
By suing normal approximation to the binomial , we have


Now, using formula
, the z-value corresponding to 26 will be :-

Using standard distribution table for z , we have
P-value=

Hence, the probability that at least 26 in the sample are unemployed =0.2643
Answer:
$126
Step-by-step explanation:
Given that:
Investment is done as per Simple interest.
Principal = $3000
Time for which the investment is to done = 7 years
Rate of interest = 6%
To find:
Interest earned when the investment matures?
Solution:
Formula for Simple Interest :

Where
is the principal amount
is the Rate of Interest
is the time for which the investment is made
Putting the given values:

Therefore, the answer is:
Interest earned is <em>$126</em>.