<h2>
The value of x = - 
</h2>
Step-by-step explanation:
The given expressiona are:
and 
To find, the value of x = ?
∴ 
By crossmultiplication, we get
4(3x + 2) = 2(3x - 6)
⇒ 12x + 8 = 6x - 12
⇒ 12x - 6x = - 12 - 8
⇒ 6x = - 20
⇒ 3x = - 10
⇒ x = - 
∴ The value of x = - 
Thus, the value of x is equal to -
.
Answer:
372,000 femtoseconds
Step-by-step explanation:
<u>1 picoseconds = 1000 femtoseconds</u>
372 picoseconds = 1000 * 372 femtoseconds
1000 * 372
372,000
Answer: 372,000 femtoseconds
Answer: a<b
Step-by-step explanation:
Given statement: "a number <em>a</em> is always less than another number <em>b."</em>
<em />
We use "<" or ">" sign to show less than or more than comparison in a mathematical statement.
If <em>a</em> is less than <em>b </em>then it can represented as
<em>a < b</em>
The expressions expresses the relationship between <em>a</em> and <em>b</em> would be:
<em>a < b</em>
The answer is 165. If you add 33 five times you get 165. Or you could do what i did and do 33 times 5.
<h2>
Answer with explanation:</h2>
Let p be the proportion of the correct answers.
As per given , we have

, since the alternative hypothesis is right tailed , so the test is a one -tailed test.
If the student gets 52 answers correct out of 80.
i.e. the proportion of correct answers : 
Test statistic : 

P-value :
[ by using p-value table for z (right-tailed)]
Since the p-value(0.0037) is less than the significance level (0.05), so we reject the null hypothesis.
Results : We have enough evidence to support the claim that a student knows more than half of the answers and is not just guessing.