Answer:
x= -
, x = - 
Step-by-step explanation:
8
+14x+3=0
(4x+1)(2x+3)
x= -
, x = - 
Answer:
No solutions
Step-by-step explanation:
<em><u>To find out how many solutions there are you must solve:</u></em>
- 2 - 10z = - 4 - 10z
<em><u>Add 10z to both sides:</u></em>
-2 = -4
<u>Since the two terms are different from one another, that means that there are no solutions for this equation.</u>
Answer:
y = 49
Step-by-step explanation:
Given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 21 when x = 6 , then
21 = 6k ( divide both sides by 6 )
3.5 = k
y = 3.5x ← equation of variation
When x = 14 , then
y = 3.5 × 14 = 49
Yes, because 12 out of 15 want the street repaved, 12 divided by 15 equals 0.8 and that would be turned into a percent.
Answer:
The probability that he answered neither of the problems correctly is 0.0625.
Step-by-step explanation:
We are given that a student ran out of time on a multiple-choice exam and randomly guess the answers for two problems each problem have four answer choices ABCD and only one correct answer.
Let X = <u><em>Number of problems correctly answered by a student</em></u>.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 2 problems
r = number of success = neither of the problems are correct
p = probability of success which in our question is probability that
a student answer correctly, i.e; p =
= 0.75.
So, X ~ Binom(n = 2, p = 0.75)
Now, the probability that he answered neither of the problems correctly is given by = P(X = 0)
P(X = 0) = 
= 
= <u>0.0625</u>