Answer:
(a)1 out of 4.
(b)27%
(c)0.73 or 73%
Step-by-step explanation:
Tommy’s probability of winning is given as 0.27.
(a)Ratio Form
Therefore, the probability that Tommy will win is <u>1 out of 4.</u>
(b)Exact Percent Value
Multiply the probability by 100 to obtain the exact percent value.
0.27 X 100=27%
(c)Probability that Tommy will not win.
Probability that Tommy will win+Probability that Tommy will not win=1
0.27+Probability that Tommy will not win=1
Probability that Tommy will not win=1-0.27
Probability that Tommy will not win=0.73
Answer:
At-most 3 birdhouses.
Step-by-step explanation:
Let B represent the number of birds and H represent the number of birdhouses that Nathaniel can build with his Lego blocks.
We have been given that Nathaniel builds birds and birdhouses using Lego blocks. The inequality 
represents the number of birds and birdhouses Nathaniel could build.
To find the number of birdhouses that Nathaniel can build after making 50 birds, we will substitute B=50 in our given inequality and then solve for H.
Let us subtract 2150 from both sides of our inequality.
Let us divide both both sides of our inequality by 215.
As Nathaniel can make build less than or equal to 3.953488 and the biggest integer less than or equal to 3.953 is 3, therefore, Nathaniel can build at-most 3 birdhouses with remaining Lego blocks.
This function would have a maximum.
Since we are subtracting by a -4 for each increase in x, we know that the numbers will continue to go down. Given this fact, we know the number will never be higher than when we started, but the number could go infinitely low. As a result we have a maximum and no minimum.
Answer:
Step-by-step explanation:
The formula for the Newton's method is:
Where 
is the first derivative of the function evaluated in 
.
Lastly, the value of 
is determined by replacing 
with its numerical value:
Answer:
The first step is to replace the y in y-x=15 with 7x (we can do this because the first equation tells us that they're equal)
solve and get
(2.5,17.5)
or x= 2.5 y=17.5
Step-by-step explanation:
The first step is to recognize that y=7x which means that we can just replace the y in the second equation with 7x
7x-x=15
6x=15
x=2.5
Then we can solve for y
y=7(2.5)
y=17.5
