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.
Answer:
61
Step-by-step explanation:
A + B = 90
6 - 5x + 7 - 2x = 90
13 - 7x = 90
- 7x = 90 - 13
- 7x = 77
- x = 77 / 7
x = - 11
A: 6 - (5 * - 11) = 6 + 55 = 61
B: 7 - (2 * -11) = 7 + 22 = 29
Together they equal 90 as they should.
<u>Answer:
</u>
f(x) = 3(x+2)(x-2)
<u>Step-by-step explanation:
</u>
We are given the following the quadratic function and we are to rewrite it in intercept or factored form:
We can factorize the given function so taking the common factors out of it to get:
The term 
is in the form 
so it can further be factorized to give:
Therefore, the factored form of the given quadratic function is f(x) = 3(x+2)(x-2).
Answer:
65.54% (nearest hundredth)
Step-by-step explanation:
Given:
P(X > 8600) = 1 - P(X ≤ 8600)
= 1 - 0.3445782584
= 0.6554217416
= 65.54%
Y = x^2 is the parent function.
y = (x - 2)^2 would translate 2 units to the right
y = (x - 2)^2 - 2 would translate 2 units to the right and also 2 units down
y = - (1/2) (x - 2)^2 - 2
would reflect the parabola upside down, and also make it wider
