For the given triangle, the tan of angle A equals 
Step-by-step explanation:
Step 1:
In the given triangle for angle A, the opposite side has a length of 6 cm, the adjacent side has a length of 8 cm while the hypotenuse of the triangle measures 10 cm. To calculate the tan of angle A we divide the opposite side's length by the adjacent side's length.
Step 2:
The opposite side's length = 6 cm.
The adjacent side's length = 8 cm.
The answer:
by definition, an exponential function with base c is defined by <span>h (x) = ac^x</span><span>
where a ≠0, c > 0 , b ≠1, and x is any real number.</span>
The base, c, is a constant and the exponent, x<span>, is a variable.
</span>so if we have f(x)=3(3\8)^2x, this equivalent to f(x)=3(3\8)^y(x),
where y (x)=2x, <span>
therefore, the base is 3/8, and the variable is the function </span>y (x)=2x,
Answer:
x= -3
Step-by-step explanation:
7 + 2x/3 = 5
Subtract 7 from both sides,
2x/3 = 5-7
2x/3 = -2
Multiply by 3,
2x = -2*3
Divide by 2,
x = -2*3 / 2
x = -3
Answer:
0.2061
Step-by-step explanation:
Probability (no crash) = 66% = 0.66
Average (no crash) expected out of 152 computers = 0.66 (152) = 100.32
Standard deviation 's' = √ [ (154) (0.66) (1-0.66) ] = √ (154) (0.66) (0.34)
= √ 34.5576 = 5.87
P (x <u>></u> 96) = 1 - P (x <u><</u> 95)
z= (x - u) / s ; x = sample mean = 95.5 (continuity correction factor = 0.5) , u = population average = 100.32
z = (95.5 - 100.32) / 5.87 = 4.82 / 5.87 = 0.82
P (x <u><</u> 95) = P (z <u><</u> 0.82) = 0.7939
P (x <u>></u> 96) = 1 - 0.7939 = 0.2061
