Answer:
The slope is 2.
Step-by-step explanation:
Slope = rise / run, meaning that when you move 2 units up, you move 1 unit right. The slope here is positive.
1.5 tsp x 800 cakes = 1200 tsp.
1 tsp = 5 ml
1200 x 5 = 6000 ml
1 ml = 0.001 liter
6000 x 0.001 = 6 liters
Answer:
km
Step-by-step explanation:
The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of
km and
km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle,
, where
and
are the lengths of the triangle's legs and
is the length of the triangle's hypotenuse. In this case, we know what
and
are, and we need to solve for c, so after substituting the given values of
and
into
to solve for c, we get:

(Substitute
and
into the equation)
(Evaluate the squares on the LHS)
(Simplify the LHS)
(Symmetric Property of Equality)
(Take the square root of both sides of the equation)
(Simplify)
is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately
km away from its base. Hope this helps!
Answer:
a) M =82
Step-by-step explanation:
Let´s study this as a Normal distribution.
As we know in a normal distribution the z score is = (X-μ)/(sd/sqrt(n))
where
X = mean for the taken sample = What we want to know in this problem
μ = Total population mean =80
sd= standard deviation= 12
n = sample size=9
So in this case z=( X-80)/(12/sqr(9))= (X-80)/4
also we know that the effect size taken by the machine is 0.5, which is the same as the z-score
so...
0.5 = (X-80)/4 => 0.5*4 = X-80
2+80 = X
X = 82
To find the l.a., you multiply the perimeter of the base (the hexagon) by the height.
l.a. = 60 x 12
surface area is harder :(
you have to find the apothem and all that jazz. sorry i can't help more, good luck!