Answer:
NP=8 cm and MN = 16 cm
Step-by-step explanation:
lets suppose NP = x and MN = 2x - because it is twice of NP.
we know that the distance of MP = 24 cm
so MP = MN+NP
24=x+2x
3x=24 and
x=24/3
x=8
x means NP = 8 cm
AND 2x means MP = 2(8) = 16 cm
1. using 2 dots that are on the blue line (0,72) and (6,69)
find the slope:
slope = change in Y over change in x = 69 - 72 / 6-0 = -3 / 6 = -1/2
equation would be y = -1/2x + 72
2. y = -1/2x+72 = -1/2(30) +72 = -15 +72 = 57 beats per minute
3. replaced x in the equation with 30 to find the beats per minute for exercising 30 minutes
Answer:
Step-by-step explanation:
Given that an investigator measuring various characteristics of a large group of athletes found that the correlation between the weight of an athlete and the amount of weight that athlete could lift was 0.60.
Correlation coefficient is the measure of association and a positive value implies that increase in one value causes increase in the other.
Hence out of the given options correct ones are
c) The more an athlete weights, on the average the more he weights.
d) The more an athlete can lift, on the average the more he weighs.
e) 60% of athlete's lifting ability can be attributed to his weight alone.
(a/b) / (c/d) = (a/b)*(d/c) that is the rule so:
(3/4)/(3/16) is equal to:
(3/4)*(16/3) which is equal to
16/4
4
Answer:
6
Step-by-step explanation:
first, we need to find the GCF (Greatest Common Factor) which is the highest number that can go into every number in the equation (In this case, those numbers are 24 and 30)
The GCF for this would be 6, meaning that there would be 6 bags with and equal amount of granola bars and protein bars.
To be more specific, every bag would have 4 granola bars and 5 protein bars.