Answer:
∠A = 26°
Step-by-step explanation:
Supplementary angles total 180°.
∠A +∠B = 180°
(x -16)° +(3x +28)° = 180°
4x° + 12° = 180°
x° +3° = 45°
x° = 42°
∠A = (x -16)° = 42° -16°
∠A = 26°
Answer:
60 different meal packages are possible.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
4 types of drinks
5 types of sandwiches.
3 types of chips.
They are independent events, so, by the fundamental counting principle:
4*5*3 = 60
60 different meal packages are possible.
Answer:
We conclude that the machine is under filling the bags.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 436.0 gram
Sample mean,
= 429.0 grams
Sample size, n = 40
Alpha, α = 0.05
Population standard deviation, σ = 23.0 grams
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.
The correct answer is option a
but i think there s a mistake .
is the value w represent length
3x*5x-2=4-2x*1
15x-2=4-2x
13x=2
x=6.5