Answer:
Step-by-step explanation:
Hello!
You have two variables of interest.
X₁: Weight of a popcorn bag.
It's mean is μ= 3.05 ounces and it's standard deviation δ= 0.02 ounces.
X₂: Weight of a potato chips bag.
With mean μ= 5.07 ounces and standard deviation δ= 0.04 ounces.
A bag of popcorn is randomly selected and its weight is X₁= 3.02 and a bag of potato chips is randomly selected with weight X₂= 5.03.
Since these two values are from completely different distributions, you cannot compare them, but if you convert these values to their equivalent Z value. For this, you will subtract the mean of their distribution and dive them by their standard deviation.
Z= (X-μ)/δ ~N(0;1)
Bag of popcorn: Z=(3.02-3.05)/0.02= -1.5
The selected bag of popcorn is 1.5δ away from the mean.
I hope it helps!
Answer:
Consider a right angle triangle ABC such that B =90 degree as shown in figure given below with all the three sides labelled.
let
Sum of all the measures of an angle in a triangle is 180 degree.
In triangle ABC
or
Simplify:
The side AC (Hypotenuse) = 10 cm
Now, find the other sides i.e, AB and BC;
Using Sine rule
In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse side.
then
or
or
Simplify:
AB = 6.4278761 ≈ 6.43 cm
Now,by using tangent rule to solve for BC
In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.
then;
or
or
Simplify:
BC = 7.66044443≈ 7.66 cm
therefore, the sides AB and BC of the triangle ABC are 6.43(approx) and 7.66(approx.)
<span>Solve for x: −3|x + 7| = −12
</span><span>−3|x + 7| = −12
</span>
x= -3, -11
Minus the 7
-2x = -6
Divide by -2
X = 3
Answer: C) Response variable
The independent variable (the one the researcher has control over) is the explanatory variable.