Answer:
680 students
Step-by-step explanation:
The 68 - 95 - 99.7 rule (empirical rule) states that 68% of the population lies within one standard deviation of the mean, 95% of the population lies within two standard deviations and 95% of the population lies within three standard deviations.
Hence since it was said that within 1 deviation (of the mean) of all people like MATH 123, therefore the number of people that like MATH 123 is:
number of people that like MATH 123 = 68% of the population
number of people that like MATH 123 = 0.68 * 1000
number of people that like MATH 123 = 680 students
Answer:
No, No, Yes, Yes
Step-by-step explanation:
Answer:
tan(35) = x/20
20(tan(35)) = x
14.0 in. = x
14.0 inches
Step-by-step explanation:
use trigonometry to figure out the height.
Answer:
Step-by-step explanation:
first we need to find the slope using the slope formula :
slope = (y2 - y1) / (x2 - x1)
(-9,7)...x1 = -9 and y1 = 7
(-6,-3)....x2 = -6 and y2 = -3
now we sub
slope = (-3 - 7) / (-6 - (-9) = -10 / (-6 + 9) = -10 / 3
so our slope is -10/3
now we use y = mx + b....with m representing the slope
slope(m) = -10/3
use either of ur points....I will use (-9,7)...x = -9 and y = 7
we are solving for b, the y intercept
now we sub
7 = -10/3(-9) + b
7 = 30 + b
7 - 30 = b
- 23 = b
so ur equation is : y = -10/3x - 23
Answer:
w = 13
Step-by-step explanation:
Using the method of cross- multiplying
• 
= 
⇒ ad = bc, thus
42(w + 11) = 28(w + 23) ← distribute parenthesis on both sides
42w + 462 = 28w + 644 ( subtract 28w from both sides )
14w + 462 = 644 ( subtract 462 from both sides )
14w = 182 ( divide both sides by 14 )
w = 13
