Answer: Rejecting the mean weight of each cake as 500 gram when H subscript 0 equals 500
Step-by-step explanation:
Given that :
Null hypothesis : H0 =500
Alternative hypothesis : Ha < 500
Type 1 Error: Type 1 error simply occurs when we reject the Null hypothesis when the Null is true. Alternatively, type 11 error occurs when we fail to reject a false null hypothesis.
Hence, in the scenario above, a type 1 error will occur when we reject the mean weight as 500 even though the Null hypothesis is True.
We know that the first cyclist has traveled 24.2 km at a speed of 10 km/h. Lets use the equation

to find the time of the first cyclist:


So, we know that she has traveled for 2.42 hours.
We also know that after she has traveled for 2.42 hours another<span> cyclist sets out in the same direction, so if </span>

represents the time of our first cyclist, <span>the time of our second cyclist will be </span>

.
Now we are going to use the equation

to relate the speeds and times of the two cyclist:
For the first one:

equation (1)
For the second one:

equation (2)
Replace (1) in (2)

The only thing left now is solve for

:




We can conclude that the second cyclist will catch up the first cyclist after
3.63 hours.
Answer:
The answer will be 96
Step-by-step explanation:
32×3=96
32
3
×
____
96
So first we add like terms inside the partenahseese
8-6x+12=-6x+8+12=-6x+20
now we have
1/4(-6x+20)
distribute
a(b+c)=ab+ac
1/4(-6x+20)=-6/4x+20/4=
-3/2x+5
-1 and 1/2x+5