Answer:
61,239,550
Step-by-step explanation:
We let the random variable X denote the IQ scores. This would imply that X is normal with a mean of 100 and standard deviation of 17. We proceed to determine the probability that an individual chosen at random from the population would be a genius, that is;
Pr( X>140)
The next step is to evaluate the z-score associated with the IQ score of 140 by standardizing the random variable X;
The area to the right of 2.3529 will be the required probability. This area from the standard normal tables is 0.009314
From a population of 6,575,000,000 the number of geniuses would be;
6,575,000,000*0.009314 = 61,239,550
2(c+7)=2c+14
Use distributive property
2*c +2*7
2c+14=2c+14
Hope it helps!
Answer:
Total surface area of the prism = 920 cm²
Step-by-step explanation:
Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.
Area of one triangular side = 
Area of 2 similar sides = Base × Height
= 8 × 15
= 120 cm²
Area of rectangular side with dimensions 17cm × 20cm
Area of the side = 17 × 20 = 340 cm²
Area of the second rectangular side with dimensions 8cm × 20cm
Area of the side = 8 × 20 = 160 cm²
Area of third rectangular side with dimensions 20cm × 15cm
Area of the side = 20 × 15 = 300 cm²
Total surface area of the given triangular prism = 120 + 340 + 160 + 300
= 920 cm²
Answer:
26
Step-by-step explanation:
=15(2) - 2(2)
=30 - 4
=26
Answer:
m= 4
Step-by-step explanation:
3m +2n= 16 -----(1)
m -2n= 0 -----(2)
From (2):
m= 2n -----(3) (+2n on both sides)
subst. (3) into (1):
3(2n) +2n= 16
6n +2n= 16
8n= 16 (simplify)
n= 16 ÷8
n= 2
subst. n=2 into (3):
m= 2(2)
m= 4
