The average rate of change of <em>f(x)</em> on -3 ≤ <em>x</em> ≤ 3 is given to be
(<em>f</em> (3) - <em>f</em> (-3)) / (3 - (-3)) = -2.5
If <em>f</em> (-3) = 14, then
(<em>f</em> (3) - 14) / (3 + 3) = -2.5
(<em>f</em> (3) - 14) / 6 = -2.5
<em>f</em> (3) - 14 = -15
<em>f</em> (3) = -1
Answer:
3.3 cm
Step-by-step explanation:
From the above question, we can draw out a proportion
= Small pentagon = Large pentagon
= x/7 = 7/15
Cross Multiply
x × 15 = 7 × 7
15x = 49
x = 49/15
x = 3.2666666667 cm
Approximately= 3.3 cm
Answer:
23. 
24. 
25. 
26. 
27. 
28. 
Step-by-step explanation:
To solve these i used SOHCAHTOA

23.
Find the missing side using Tangent



24.
Find the missing side using Tangent



25.
Find the missing side using Tangent



26.
Find the missing side using Tangent



27.
Find the missing side using Tangent



28.
Find the missing side using Tangent



Answer:
E) 29.0
Step-by-step explanation:
The value of the sum is obtained from 2 independent experiments: the value of the number of the first box X₁ and the value of the number of the second box X₂.
The expected value of a draw is the average of all its values, so E(X₁) = (1+2+3+4+5+6+7+8+9+10)/10 = 5.5 and E(X₂) = (20+21+22+23+24+25+26+27)/8 = 23.5
Hence, E(X₁+X₂) = E(X₁)+E(X₂) = 5.5+23.5=29
Answer:
0.2915
Step-by-step explanation:
Let W represent water and D represent Dying probability
W = water
D = die
->If with water, it will die with probability 0.4
P(W & D) = 0.82 x 0.4 = 0.328
->Without water the plant will die with probability 0.75
P(W ' & D) = 0.18 x 0.75 = 0.135
Taking sum of the above values with water and without water.
P(D) = P(W & D) + P(W ' & D) = 0.4643
P(W ' | D) = P(W ' & D) / P(D)
= 0.135 /0.463
= 0.2915 ≈ 29.15%
Thus, the probability the neighbor forgot to water is 0.2915