Answer:
f(x) = 10(10)+3 = 103 when x = 10
Step-by-step explanation:
Given a function piecewise as
f(x) = 2x-4 if -3<x<10
= x^2+3, if 10<=x<13
We see from the definition of f(x) that the function has domain as (-3,13) and two sets defined from (-3,10) and [10,13).
Since 10 less than or equal to sign is there in the second function interval, we find that 10 is included in that.
Hence for finding f(10) we use the function defined for interval including 10 i.e. x^2+3
Substitute 10 for x in x^2+3
f(10) = 10^2+3
=103
Hence answer is 103
Answer:
Yes, the test was conducted with a risk of a type I error.
Step-by-step explanation:
If we reject the null hypothesis, does this mean that we have proved it to be false beyond all doubt? Explain your answer.
Yes, for a null hypothesis to be rejected, it has being proven beyond all doubt that the null hypothesis will not work. the normal distribution has being used for the probability calculation.
if the null hypothesis is rejected and the alternative hypothesis is accepted, a type I error as occur.
In general terms:
‘a hypothesis has been rejected when it should have been accepted’. When this occurs, it is called a type I error.
In the given question we can see that the information,Georgina ran a distance of 3/8 mile in 3 minutes is already provided.
So
In 3 minutes Georgina can run a distance of = 3/8 miles
Then In 1 minute Georgina can run a distance of = 3/(8 * 3) miles
= 3/24 miles
= 1/8 miles.
So it can be said now that in 1 minute the distance that
Georgina can cover is 1/8 miles. If required it can be converted to decimal
value as well.
(If you are)- Solving The Equation
1. Multiply both sides by eight over three
8/3•1/2 = 8/3•3/8 which gives you 4/3.
2. Swap the sides of the equation
4/3=y turns into y= 4/3 and that’s your answer. (y=4/3).
(Or if you’re working on)- Rewrite In Standard Form
Swap 1/2 and 3/8y , so it should be 3/8y=1/2.
Then multiply both sides by 8/3, and that should give you y=4/3.
Then multiply both sides of the equation by 3, and that should give you 3y = 4. And 3y=4 would be your answer.
Hope these helped! :)
1/6, because since there are six sides, and you need one of them to land, it is a 1/6 probability.
