<span>
<span><span>Addition, you can have 89 + 33 = 122 </span>
<span>Commutative Property by moving: 33 + 89 = 122
<span>Associative Property by grouping: (3 + 30) + (80 +
9 ) = 122 </span>
<span>Distributive Property by allotting: 10 (8.9) + 33
= 113 </span>
</span></span>
Other examples include:
Addition, you can have 33 + = 113 </span>
<span>Commutative Property by moving: 107 + 6 = 113 </span>
<span>Associative Property by grouping: (3 + 3) + (100 + 7 ) = 113 </span>
<span>Distributive Property by allotting: 2 (3) + 107 = 113 </span>
<span>Multiplication, you can have 6 x 107 = 642 </span>
<span>Commutative Property by moving: 107 x 6 = 642 </span>
<span>Associative Property by grouping: (3 + 3) x (100 + 7 ) = 642 </span>
<span>Distributive Property by allotting: 2(3) x 107 = 642<span>
</span></span>
Answer:
step 1: x+50+4x=90
the angle of a right-angled triangle is 90 degrees, therefore if we add everything together ,we could work out what x is.
step 2: x+50+4x=90
x+4x=50
5x=50
x=10
then you solve the equation, x is 10
Answer:
The 95% confidence interval for the difference is (-0.1888, 0.0202).
Step-by-step explanation:
Difference between proportions:
The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So
In a sample of 86 units made with gold wire, 68 met the specification
This means that:


In a sample of 120 units made with aluminum wire, 105 met the specification.
This means that:


Difference:


Confidence interval:

In which z is the zscore that has a pvalue of
, with
being 1 subtracted by the confidence level.
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Lower bound of the interval:

Upper bound of the interval:

The 95% confidence interval for the difference is (-0.1888, 0.0202).
Answer:
The solution of this system is
(4). (6.0,5.4)
Step-by-step explanation:
First we have to find the equation of the line represented in the table; for that we have to find it's slope
and it's y-intercept
and then write it in the following form:

The slope
of the line we get from first two points:

thus we have

we find
by putting the point
into the function:


Thus we have

Now we have to find where this line intersects with
; to do this we just substitute
with
:



<em>We have the x-coordinate of the intersection.</em>
We find the y-coordinate by substituting
into
:


Thus the solution to the system is

which is option 4.