We have 7 = (-5) + 12;
19 = 7 + 12;
31 = 19 + 12 ;
Answer:
B
Step-by-step explanation:
In the equation it states there is a one-time fee charge so we would add this when writing it in an expression. Since the expressions is: T = 15n + 12; and the only number being added is 12, we can assume the number 12 represents the service fee cost.
Answer:
RPQ = 239°
Step-by-step explanation:
Since SP is a straight line going through the center of a circle, it is a diameter.
We can say that m<SOR and m<ROP are supplementary and add up to 180° because they form a straight line. We can set up an equation:
m<SOR + m<ROP = 180°
We can substitute in the value of m<SOR:
31° + m<ROP = 180°
m<ROP = 149°
Next, we can also say that m<SOQ and m<QOP are supplementary because they form a straight line. Also, since QO is perpendicular to SP, we can say that both m<SOQ and m<QOP equal to 90°.
Now, we can say that m<ROQ (reflex angle) is equal to the sum of m<QOP and m<ROP from angle addition postulate. We can write the equation:
m<ROQ = m<QOP + m<ROP
m<ROQ = 90° + 149° = 239°
The reflex angle <ROQ cuts the arc RPQ, so they would have the same measure. So, arc RPQ = 239°
Substituting d= 430 we get,
k = 1.6(430)
k = 688
The distance between Boise, Idaho and Reno, Nevada is 688 kilometers.
Answer: the company should promote 4412 hours for these bulbs.
Step-by-step explanation:
Assuming that the lives of the bulbs are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = lifetime of the bulbs in hours.
µ = mean hours
σ = standard deviation
From the information given,
µ = 4000 hours
σ = 200 hours
If only 2% burn out, then the company would promote 98% would meet the claimed lifetime. Looking at the normal distribution table, the z score corresponding to a probability of 0.98 is 2.06. Therefore,
2.06 = (x - 4000)/200
Cross multiplying, it becomes
200 × 2.06 = (x - 4000)
412 = x - 4000
x = 4000 + 412
x = 4412 hours
