a) To create an equation
X+X =7
so what's X over here is
7² = x²
X=3.5
b) Real numbers are mixture of irrational and rational numbers so √5 and √6 are irrational where as 5 and 6 are not but they two are equal to each other.
Explaining the equation:
√5 +√6 = √11
5 +6 = 11
√11 =11
√= 11 ÷ 11
√= 1
So if root is 1 then -1 is -√
this is the answer propably
Answer:
Step-by-step explanation:
Given that the Pick 4 games in many state lotteries announce a four‑digit winning number each day. Each of the 10,000 possible numbers 0000 to 9999 has the same chance of winning. You win if your choice matches the winning digits. Suppose your chosen number is 3079 .
a) The probability that the winning number matches your number exactly
= 1 out of 10000 = 0.0001
b) the probability that the winning number has the same digits as your number in any order
This includes 0379, 0397, 0739, 0793, 0937, 0397 i.e. starting from 0 there are 6 = 3! ways
Or 3079 can be arranged in 4! ways = 24
Favorable outcomes = 24
Prob of winning = 24/10000 = 0.00024
=0.0002
No, only 3, 6, and 9 are divisible by 3 because 3 x 1= 3, 3 x 2= 6, 3 x 3= 9. Hope this helps
Using the t-distribution, the critical value needed is: t = 2.2622.
<h3>How to find the critical value for the t-distribution?</h3>
The critical value is found using a calculator, with two parameters:
- The number of degrees of freedom, which is one less than the sample size.
For this problem, we have a confidence level of 95% and 10 - 1 = 9 df, hence the critical value is t = 2.2622.
More can be learned about the t-distribution at brainly.com/question/16162795
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