Answer:
Step-by-step explanation:
X^2-6x+5=x^2-5x-x+5=x(x-5)-(x-5)=(x-5)(x-1)
Then we have (x-5)(x-1)=0 if x=5 or x=1.
Intersections on x are points (1,0) and (5,0), middle is (3,0).
Intersection with y is when put x=0 in equation, so you will get y=0-6*0+5, y=5. The point is (0,5).
From picture symmetry is line x=3.
Answer:
1.66
Step-by-step explanation:
We need to conduct a chi square test
The statistic used to check this is given by the below
∑(n, 1) = [(O(i) - E(i)] / E(i)
From the question, we're told the observed value is
Freshmen
Sophomore
Junior
Senior.
After that, we then calculate the expected value.
Freshman
0.3 * 300 = $90
Sophomore
0.24 * 300 = $72
Statistics then finally gives us this
X² = (93 - 90²)/90 + (68 - 72)²/72 + (85 - 78)/78 + (64 -60)²/60
X² = 3² / 90 + 4² / 73 + 13² / 78 + 4² / 60
X² = 0.1 + 0.212 + 2.167 + 0.266 x+
X² = 2.745
X = √2.745
X = 1.66
Answer:
4.6x+15
Step-by-step explanation:
The rate that the gas is being filled into the tank is 4.6x. The gas that is already within the tank at the start of filing is 15 gallons therefore the answer is y=4.6x+15
hope this helps!
-HM
Answer:
$30
Step-by-step explanation:
30 % + 10 % = 40 %
40 % of $50 = $20
%50 - $20 = $30
To solve this problem we can set up a proportion, letting x represent the unknown amount of cooking oil.
30 milliliters water/20 milliliters cooking oil = x milliliters water/ 50 milliliters cooking oil
30/20 = x/50
To solve this proportion, we can use cross products, also called the means extremes products theorem. This takes the products of the numerator and denominator from the separate fractions and sets them equal to one another. In this circumstance, it results in the equation:
(30)(50) = (x)(20)
When we multiply we get:
1500 = 20x
Finally, we have to divide both sides of the equation by 20 to get our variable x alone on the right side of the equation.
x = 75 milliliters
Therefore, the proportion is completed, as 30/20 = 75/50.
Answer: You need 75 milliliters of water.
