Y2 + x2 = 53
y − x = 5
y = 5 + x
(5+x)^2 + x^2 = 53
(5+x)(5+x) + x^2 = 53
25 + 10x + x^2 +x^2 = 53
2x^2 + 10x - 28 = 0
(x-2)(x+7)=0
x = 2 , x = - 7
y = 5 + 2
y = 7
y = 5 +(-7)
y = 5 - 7
y = - 2
No you would not have enough flour because if you add those to mixed numbers together you would get 4 and 1/12
Answer:
see below
Step-by-step explanation:
2:
# of sides = 3
# of vertices = 3
name of shape: triangle
3.
# of sides = 4
# of vertices = 4
name of shape: quadrilateral
4.
# of sides = 5
# of vertices = 5
name of shape: pentagon
5.
# of sides = 6
# of vertices = 6
name of shape: hexagon
6.
# of sides = 8
# of vertices = 8
name of shape: octagon
Answer:
The margin of error for this estimate is of 14.79 yards per game.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2.093
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.
This means that 
What is the margin of error for this estimate?
The margin of error for this estimate is of 14.79 yards per game.
Answer:
0.1961
Step-by-step explanation:
Since these two probabilities are independent of each other, we can simply multiply them.
The probability that a voter will support the Democratic candidate for governor is 0.53.
The probability that a voter will support the Democratic candidate for attorney general is 0.37.
This makes the probability that a voter supports both Democratic candidates 0.53(0.37) = 0.1961.
