Answer:
Step-by-step explanation:
1) Least common denominator of 4 and 2 is 4
To eliminate the fraction, each term should be multiplied by 4
ANS:option c
2) Mercury level of water 'y' years = Initial measure +rate of increase 'y' years
0.05 +0.1y = 0.12+0.06y
Ans : Option c
3) 4b +6 = 2 - b + 4
Add 'b' to both sides
4b + b + 6 = 2 + 4
5b + 6 = 6
Subtract 6 from both sides
5b = 6 - 6
5b = 0
b = 0
Ans : Option b
4) Maximum decimal places in this equation is 2. So, to eliminate decimal places, The equation should be multiplied by 100
Ans: option d
5) y +6 = -3y + 26
Add 3y to both the sides
y + 6 + 3y = 26
y + 3y + 6 = 26
4y + 6 = 26
Subtract 6 from both sides
4y = 26-6
4y = 20
Divide bothe sides by 4
y = 20/4
y = 5
Ans: option c
6) '2x' is subtracted from both side of the equation.
Ans: option a - subtraction property of equality
Answer:
The degree of a polynomial is the largest exponent on one of its variables (for a single variable), or the largest sum of exponents on variables in a single term (for multiple variables).
Step-by-step explanation:
ere, the term with the largest exponent is , so the degree of the whole polynomial is 6.
for z the fraction value is 1/26 and for other letters then Z is 25/26
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 152.5
For the alternative hypothesis,
µ ≠ 152.5
This is a two tailed test.
Since no population standard deviation is given, the distribution is a student's t.
Since n = 231
Degrees of freedom, df = n - 1 = 231 - 1 = 230
t = (x - µ)/(s/√n)
Where
x = sample mean = 148.9
µ = population mean = 152.5
s = samples standard deviation = 27.4
t = (148.9 - 152.5)/(27.4/√231) = - 2
We would determine the p value using the t test calculator. It becomes
p = 0.047
Since alpha, 0.05 > thanthere sufficient evidence to conclude that the self-efficacy of adults who have experienced childhood trauma differs from that in the general population of individuals the p value, 0.047, then we would reject the null hypothesis. Therefore, At a 5% level of significance, there is sufficient evidence to conclude that the self-efficacy of adults who have experienced childhood trauma differs from that in the general population of individuals
Answer:
y=-2x+5
Step-by-step explanation:
slope is going down 2 over 1
y-int is 5
