Answer:
5 miles
Step-by-step explanation:
The two legs of Deborah's hike form the right-angle legs of a right triangle. The shortest distance is then the hypotenuse of that triangle, found using the Pythagorean theorem.
d^2 = 3^2 + 4^2 = 9 +16 = 25
d = √25 = 5
Deborah ends 5 miles from her start.
F(x)= x²+5x
f(x)= -2²+5(-2)
f(x)= 4-10
f(x)= -6
I hope I helped you :)
Compounded anually means
if you put x in at y percent then
you calculate like this
if you put in x at y percent then the money you earn is
x +(x times y)=z=first year
second year=z+(z times y)=s
third year=s+(s times y)=t
percent means parts out of 100 so 5%=5/100=0.05
'of' can be translated as multiply
so
3000 +(3000 times 0.05)=3150=fisrt year
3150+(3150 times 0.05)=3307.5=second year
3307.5 +(3307.5 times 0.05)=3472.88=tird year
he will have 3472.88 at end of 3 years
Answer:
B
Step-by-step explanation:
Answer:
a
The distribution of X is normal
b

c

Step-by-step explanation:
From the question we are told that
The population mean is 
The standard deviation is 
Generally given from the question that the amount of time spent alone by the population size is normally distributed then then the distribution of X (i.e the amount of time spent by the sample size (the one Mercurian)) will be normally distributed
Generally the probability that the child spend less than one hour in a day is mathematically represented as

Here 
So


From the z-table the value of

So 
Generally the percentage of children that spends over 3.5 hours unsupervised is mathematically represented as



From the z-table the value of

So 