Step-by-step explanation:
A. 4(a + 1) = 2
= 4a + 4 = 2
= 4a = 2-4 = - 2
= a = - 2/ 4 = - 1/2
B. 3 - 9x = - 6-8x
3 + 6 = - 8x +9x
9 = x
C. 12x - 3 = 14x - 35
- 3 + 35 = 14x - 12x
32 = 2x
32 / 2 = x
16 = x
Answer:
There exists a relationship between interpersonal violence and health.
Step-by-step explanation:
The relationship between interpersonal violence and health :
The null hypothesis will be ; the is no relationship between interpersonal violence and health while the alternative will negate the Null ;
If no relationship exists, correlation Coefficient = 0 and if a relationship exists, then correlation Coefficient is not = 0
H0 : ρ = 0
H1 : ρ ≠ 0
α = 0.05
Reported Pvalue = 0.016
Decison region :
Reject H0 ; If Pvalue < α
Therefore, Since Pvalue < α ; we reject H0 and conclude that there exists a relationship between interpersonal violence and health.
The target cost for Model J20 is $2000.
The required cost reduction is $30.
The total saving will be $30.3.
<h3>How to compute the cost?</h3>
The target cost will be:
= Sales price - (100% × Target cost)
= 400 - (100% × Y)
Y + Y = 400
2Y = 400
Y = 400/2 = 200
Target cost = $200
Therefore, the target cost is $200.
The required cost reduction will be:
= $230 - $200
= $30
The required cost reduction is $30.
The three engineering improvements together will be:
Direct labor reduction = 7.5
Additional inspection = 17
Injection molding = 5.8
Total savings = 30.3
The total savings is $30.3.
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Answer:
13 < M = ≤7
Step-by-step explanation:
We need to cancel out the discontinuity in x = 4
In order to do that, factorize the numerator:
5x⁴ - 20x³ = 5x³(x-4)
This way, your function will be:
f(x) = <span>5x³(x-4) / (x-4)
and the two parentheses cancel out, leaving
</span>f(x) = <span>5x³
</span>
which at x = 4 gives:
f(4) = <span>5·4³</span> = 5 · 64 = 320
Therefore K = 320.