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:
brainly.com/question/24077767
490
Step-by-step explanation:
4333333
67
8
Answer:
1/4
Step-by-step explanation:
Let's denote the probabilities as following:
Probability that a teenager has a sister:
P(A) = 12/28
Probability that a teenager has a brother:
P(B) = 7/28
Probability that a teenager has both a sister and a brother:
P(A⋂B) = 3/28
Probability that a selected teenager has a sister also has a brother, or in other words, he/she has a brother, given he/she had a sister:
P(B|A)
Let's apply the formula of conditional probability to work out P(B|A)
P(B|A) = P(A⋂B)/P(A) = (3/28)/(12/28) = (3*28)/(12*28) = 3/12 = 1/4
=> Option C is correct
Hope this helps!
Answer:
The linear equation with given slope and y-intercept is:
Option 1: 
Step-by-step explanation:
The slope-intercept form of equation is given by:
Here
m is the slope of the line and b is the y-intercept.
Given that
Slope of line is 1/2 so m = 1/2
And y-intercept is on origin so b = 0
Putting the values we get
Hence,
The linear equation with given slope and y-intercept is:
Option 1:
Answer:
356.8cm3
Step-by-step explanation:
Volume of a cone= 1/3 * base area * height.
Note: don't be confused by right circular cone ; a cone is gotten from a cylinder by dividing it into three parts. One from the right vertex slanted to the middle of the base; another from the left vertex slanted to the middle of the base and the remaining portion with the surface base at the top.
Going forward; base area =pi * raduis * raduis [ area of a circle; the base is a circle]
Volume= 1/3 * (3.142 * 7.8 * 7.8 *5.6) = 356.83cm3
Volume= 356.8cm3 [ to the nearest tenth].
Tenth means 1/10= 0.1; that is value after the decimal point.
