Answer:
A
Step-by-step explanation:
30% of 30000 is 9000, 30000-9000=21000 (1 year)
30% of 21000 is 6300, 21000-6300=14700 (2 years)
30% of 14700 is 4410, 14700-4410= 10290 (3 years)
30% of 10290 is 3087, 10290-3097= 7203 (4 years)
30% of 7203 is 2160.9, 7203-2160.9= 5042.1 (5 years)
The red figure is smaller so it is a reduction.
To find the scale factor divide the length of the smaller shape by the length of the larger shape:
9/15 this can be reduced to 3/5
P(X<=x) = 1 + 5.486 = 6.486
The z-score of the information given is,
z = (x - µ )/ σ
Where,
µ = mean
σ = standard deviation
From the information given,
x = 3.71
µ = 86
σ = √225 = 15
hence,
z = (3.71 - 86)/15 = -5.486
thus,
P(X<=x) = 1 + 5.486 = 6.486
hence , P(X<=x) = 1 + 5.486 = 6.486
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Answer:
21) 12 cm
22) 5.9 cm
Step-by-step explanation:
21) The base is 10, and if the other two sides are congruent and the perimeter is 36, we can figure out with simple algebra that the sides are 13 cm long.
Half of 10 is 5, so we can use the pythagorean theorem.
5^2+x^2=13^2
Rearranging the variables we have 169-25=x^2
144=x^2
x can be plus or minus 12, but since negative length is impossible we find that x is positive 12 cm.
22) We want to use sine, because we have opposite and hypotenuse. A simple and easy way to memorize this is the SohCahToa method. If we have opposite (O) and hypotenuse (H) we have OH. Soh has the letters O and H, and the S means we should use sine.
sine 36=a/10
Plug this into a calculator or desmos scientific calculator to get a=5.9
Answer:
876/7
Step-by-step explanation:
Just plug the number 5 into the equation and solve. Remember your Order of Operations (PEMDAS).