The exponential function that passes through (0,2) and (3,54) is a growth function
The exponetial function is y = 2 * 3^x
<h3>How to construct the exponential function?</h3>
The points are given as:
(x,y) = (0,2) and (3,54)
An exponential function is represented as:
y = ab^x
Substitute the points in the equation
2 = ab^0 and 54 = ab^3
Solve 2 = ab^0
a = 2
Substitute 2 for a in 54 = ab^3
54 = 2b^3
Divide by 2
27 = b^3
Take the cube roots of both sides
b = 3
So, we have:
y = ab^x
This becomes
y = 2 * 3^x
Hence, the exponetial function is y = 2 * 3^x
Read more about exponential functions at:
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b is two fifths of c, so we make this a ratio with c = 1.
The ratio of b:c is 2/5 : 1
We also have 4a = 3c, rewrite this ratio so c is 1 by dividing both sides by 4,
so we get the ratio of a to c as 3/4 : 1
Now we get the a:b:c ratio of 3/4 : 2/5 : 1 now we can change the fractions to whole numbers, first by multiplying the 3 numbers by 4 to get get rid of the denominator of 4 in a:
3 : 8/5 : 4
Now multiply the 3 numbers by 5 to remove the denominator of 5 in b:
15 : 8 : 20
Now we can check using the equations:
b is 2/5 of c: 20 x 2/5 = 40/5 = 8 This is true.
4a = 3c: 4(15) = 3(20) = 60 = 60, this is also true.
The ratios is 15 : 8: 20
Answer: 4 - 5 = 4 + (-5) = -1
Step-by-step explanation: You have to make the 5 into a negative number using parenthesis and do the math.
Answer:
The answer is 6²
Step-by-step explanation:
Since 6² = 36
√36 = 6 making 6² a perfect square.
Hope this helps you
Answer:
Step-by-step explanation:
Total = 50
Males = 20
Females = 30
a) P(exactly 1 female) = P(1 female , 2 male)
(30C1 * 20C2) / (50C3) = 30*190/19,600 = 0.2908
b) P(at least 2 males) = 1 - (P(0 males) + P(1 males))
= 1 - 30C3 * 20C0/50C3 - 30C2 * 20C1/50C3
= 1 - 4060*1/19,600 - 435*20/19,600 = 6840/19600 = 0.3489
