I don't know it's so difficult
Answer:
Step-by-step explanation:
Let “x” be the weight of the bottle and “y” is weight of honey.
We know the total weight of bottle full of honey is 1000 g.
So Equation 1 is x + y = 1000 g
And with half of the honey, we know the total weight is 600g.
Equation 2: x + (y/2) = 600 g
y/2=600 - x
y= 2 (600 - x)
y= 1200 - 2x
We can replace “y” with 1200 - 2x in Equation 1:
x + 1200 - 2x = 1000
x = 200 g
Weight of the bottle is 200 g.
Answer:
a = 11.71 ; b = 15.56
Step-by-step explanation:
For this problem, we need two things. The law of sines, and the sum of the interior angles of a triangle.
The law of sines is simply:
sin(A)/a = sin(B)/b = sin(C)/c
And the sum of interior angles of a triangle is 180.
45 + 110 + <C = 180
<C = 25
We can find the sides by simply applying the law of sines.
length b
7/sin(25) = b/sin(110)
b = 7sin(110)/sin(25)
b = 15.56
length a
7/sin(25) = a/sin(45)
a = 7sin(45)/sin(25)
a = 11.71
Answer:
H0: p = 0.078
Ha: p ≠ 0.078
Step-by-step explanation:
The researchers say that the rate is about 7.8%, or 0.078 as a decimal. That makes that the null hypothesis because using "is" in math is the same as saying "equals" and the null hypothesis always has the statement of equality in it. The reason there is a not equals to sign in the alternate is for this reason as well. The researchers say it is about that amount, not more or less than that amount. So it makes this a 2 tailed test. If the amount is significantly higher or lower, then we might have to reject the null hypothesis depending on the outcome of the test.