<span>first find the similar term, the similar term is x^2y.
10x^2y + 2xy^2- 4x^2y
group together the similar term and place them in a parenthesis
then perform the operation to simplify the expression.
= </span>(10x^2y<span><span> - 4x^2y
) </span>+ 2xy^2
= ( </span><span>6x^2y ) + </span><span>2xy^2
= </span><span>6x^2y </span><span><span>+ <span>2xy^2 is the sum of the polynomial</span></span> </span>
Hey there!
If our central angle is 77, our arc on the outside that it intercepts is going to be 77/360 of the total circumference of the arc. This is because a full circle angle is 360 degrees, so if our central angle was 360, we would just find the circumference of the circle as the arc would be the entire circle.
In our case, we will just find the circumference and then multiply it by 77/360 to find our arc length as we are just looking for a fraction of our total circle.
Circumference is 2πr, so we have 2π(6)≈37.68
Now we multiply this by 77/360.
37.68×77/360≈ 8.06
So now, if you have a radius r and a central angle x, you can use the formula x/360 ×2πr to find the arc length.
Have a wonderful day! :D
Answer:
Probability: 0.7190
There is not enough evidence at the 5% level of significance to suggest that there is difference in proportions of red-light runners between the two intersections
Step-by-step explanation:
We can conduct a hypothesis test for the difference of 2 proportions. If there is no difference in proportion of red-light runners between the 2 lights, then the difference in proportions will be zero. That makes the null hypothesis
H0: p1 - p2 = 0
The question is asking whether there is a difference, meaning that the difference can be higher or lower. If there is a difference, the proportions are not equal. This makes the alternate hypothesis
Ha: p1 - p2 ≠ 0
This is a two tailed test
We will use a significance level of 95% to conduct our test. This makes the critical values for our test statistic: z > 1.96 or z < -1.96.
If our test statistic falls in either region, we will reject the null hypothesis.
See the attached photo for the hypothesis and conclusion
The z-value of the test statistic is z = 0.58.
P(z < 0.58) = 0.7190
5X6= 30 5X6= 30 5X6= 30 5X6= 30 5X6= 30 5X6= 30 5X6= 30 5X6= 30