Answer:
For the diagram to be a parallelogram, then the measure of x is 4
Step-by-step explanation:
If the diagram is a parallelogram, then the diagonals bisect each other
What this mean is that they divide each other into 2
Mathematically, this means that the values AC is divided into two equal parts AE and CE
That means;
5x + 28 = 3x + 36
5x-3x = 36-28
2x = 8
x = 8/2
x = 4
<span>1.
P(</span>at least one of the calculators is defective)=
1- P(none of the selected calculators is defective).
2.
P(none of the selected calculators is defective)
=n(ways of selecting 4 non-defective calculators)/n(total selections of 4)
3.
selecting 4 non-defective calculators can be done in C(35, 4) many ways,
where
while, the total number selections of 4 out of 18+35=53 calculators can be done in C(53, 4) many ways,
4. so, P(none of the selected calculators is defective)=
5. P(at least one of the calculators is defective)=
1- P(none of the selected calculators is defective)=1-0.18=0.82
Answer:0.82
Halving: 28 to 14 doubling: 50 to 100 answer: 14 × 100 = 1400
Fourteen times two equals twenty-eight, because twenty-eight divided by two equals fourteen
Answer:
The correct option is;
The ranges of f(x) and h(x) are similar and different from the ranges of g(x)
Step-by-step explanation:
Here we have the functions given as follows;
f(x) = -6/11 (11/2)ˣ
g(x) = 6/11 (11/2)⁻ˣ
h(x) = -6/11 (11/2)⁻ˣ
from the above equations, it can be seen that f(x) and h(x) are always negative while g(x) is always positive
f(x) and h(x) are symmetric about the y axis while g(x) and h(x) are symmetric about the x axis
Also h(x) is the inverse of f(x) hence the ranges of f(x) and g(x) are similar and are different from the ranges of g(x).