< yvw and < twv are alternate interior angles
opposite sides of the transversal and inside are alternate interior angles
Answer:
Cups of carrot needed for 9 servings = 4.5 cups
Step-by-step explanation:
A recipe for sesame chicken calls for cup of chopped carrots
recipe 2 is for 4 servings
That is
2 cups of carrot = 4 servings
2 : 4
= 1 : 2
1 cup of carrot = 2 servings
how many cups of
carrots are needed for 9 servings?
Let x= number of carrot needed for 9 servings
1 : 2 = x : 9
1 /2 = x/ 9
Cross product
1*9 = 2*x
9=2x
Divide both sides by 2
9/2 = x
x= 4.5 Or 4 1/2
Answer:
$318.17, out of state college is $161.12 cheaper per month
Step-by-step explanation:
72*24 = 1728 + 410*4 = 1728 + 1640 = 3368 + 450 = 18/12 = $318.17
8700+650*9 = 8700 + 5850 = 14550/9 = 1616.66
8500+400*9 = 8500 + 3600 = 12100 + 1000 = 13100/9 = 1455.56
1616.67 - 1455.56= $161.11 (use $161.12)
Answer:
1) p1=0.83
2) p2=0.81
3) Option B
4) p=0.82
5) s=0.03
6) z=0.67
7) P=0.50
8) Do not reject H0
Step-by-step explanation:
1) The proportion of Republicans who think the full-body scans should be applied in airports is equal to the ratio between the republicans that think it should over the total Republicans in the poll:

2) The proportion of Democrats who think the full-body scans should be applied in airports is equal to:

3) As we want to know if there is a difference in the proportions calculated, not if one is higher or lower than the other, the correct option is B:

4) The pooled estimate of a proportion is the average of both proportions:

5) The standard error can be calculated as:

6) The z-statistic can be calculated as:

7) The P-value for z=0.67 is P=0.50 (from the standard normal distribution table).

8) If the significance level is 0.01, the P-value is bigger than the significance level. The effect is not significanct. The null hypothesis is not rejected.
There is not enough evidence to say that both proportions are different.
A. Do not reject H0
Answer:
the square of greater side is equal to the sum of two other side in right angled rectangle
Step-by-step explanation:
also known as trigonometry of Pythagoras.