Answer:
7.429 cents
Step-by-step explanation:
Given that:
Price change = $1.51 to $2.03
Period of time = 7 years
Therefore, the annual inflation rate :
Difference in price / number of years
($2.03 - $1.51) / 7
$0.52 / 7
= 0.0742857 per year
= 0.0742857 * 100 (about 7.429 cents per year)
Answer:
a) PR = 17 cm, b) QR = 6 cm
Step-by-step explanation:
∠Q=90, so PQ and QR are legs, and PR is hypotenuse.
Pythagorean theorem PQ² + QR² = PR²
a) PQ² + QR² = PR²
8² + 15² = PR²
PR² = 289
PR = 17 cm
b) PQ² + QR² = PR²
8² + QR² = 10²
64 + QR² = 100
QR² = 36
QR = 6 cm
2. There are 14 rollercoasters at the amusement park. There are 2 rollercoasters made of steel, 6 of them are made of steel and have loops, 4 of them have loops but aren't made of steel and there are 2 rollercoasters with no loops and aren't made of steel.
4. 60% of rollercoasters with loops are made of steel. 40% of rollercoaster with loops are not made of steel. 50% of rollercoasters made of steel have no loops and 50% of rollercoasters not made of steel don't have loops.
6. 75% of rollercoasters are made of steel either have loops or no loops.
25% of rollercoasters not made of steel either have loops or no loops.
This was quite a lot to do, I'm pretty sure the relative frequency graph number 3 had me a bit confused.
Answer:
No; the slopes of segment LM and segment LN are not opposite reciprocals
Step-by-step explanation:
slope of LM: (2 - 0)/(2 - 0) = 1
slope of LN: (-1 - 0)/(2 - 0) = -1/2
Two lines are perpendicular when the multiplication of their slopes is equal to negative one, that is, they are opposite reciprocals. In this case:
slope of LM*slope of LN = 1*(-1/2) = -1/2
Answer: 7.08
Reasoning: 49.56 divided by 7 is 7.08