The numbers inside the parenthesis is the value of x, uses the equation associated with the value of x and solve.
H(1) Since 1 fits 1≤x≤3 use x^3
x^3 1^3 = 1
h(1) = 1
h(4) 4 fits x >3, so use 5
h(4) = 5
The two triangles are congruent, so corresponding parts of the two triangles are congruent.
GH is corresponding to DE, so GH=DE=17
Answer:
The answer is "X is unknown, Z is true".
Step-by-step explanation:
In the given question option is missing so, the correct answer to this question can be defined as follows:
- In this question if X is given, then y means depends upon X.
- If y is given, then z depends on y, that's why in this question Y and Z are true. but X is unknown.
You can find an equivalent expression for this by combining like terms.
The terms are 88, 16x, and 8.
The like terms are 88 and 8.
To combine them, add them together.
88 + 8 = 96
The equivalent expression would be 16x + 96.
This means 16x + 96 is the same as <span>88 + 16x + 8.
Since they are equivalent, that means they are equal, or the same.
So no matter what x is, they will both be equal to the same thing, so their solutions will be the same.
Answers:
Equivalent Expression: 16x + 96
Yes, both expressions will have the same solutions if x = 4.
Hope this helps!</span>
Answer:
<em>0.5306</em>
<em>0.5694</em>
Step-by-step explanation:
USing the formuls for calculating the confidence interval for the population proportion;
CI = p±Z*√[p(1-p)/n]
p is the percentage proportion of the population 55%
Z is the z-score at 99% confidence interval = 2.576
n is the sample size = 1079
CI = 0.55 ± 2.576*[0.55(1-0.55)/√1079]
CI = 0.55 ± 2.576*[0.55(0.45)/√1079]
CI = 0.55 ± 2.576*[0.2475/√1079]
CI = 0.55 ± 2.576*[0.2475/32.85]
CI = 0.55 ± 2.576*[0.00753]
CI = 0.55 ±0.0194
CI =(0.55-0.0194, 0.55+0.0194)
CI = (0.5306, 0.5694)
<em>Hence, a 99% confidence interval of the proportion of the population that will support such a law is 0.5306</em>
<em>0.5694</em>