Answer:
4^5=x
x= 1045
Step-by-step explanation:
4 to the power of 5 is 1045:)
We know that
scale factor=measure larger triangle/measure smaller triangle---->18/12
scale factor=1.5
so
measure larger triangle=scale factor*measure smaller triangle
for the leg in the smaller triangle equal to 5
measure larger triangle=1.5*5-----> 7.5
the answer is
7.5
Answer:
x<7 or x>1
Step-by-step explanation:
The given inequality is
|x-4|<37
By the definition of the absolute value function, we get
x-4<3 or -(x-4)<3
We divide both sides of the inequality on the right by -1 and reverse the sign.
x-4<3 or x-4>-3
We add 4 to both sides of the equation to get:
x-4+4<3+4 or x-4+4>-3+4
x<7 or x>1
Answer:
Binomial distribution requires all of the following to be satisfied:
1. size of experiment (N=27) is known.
2. each trial of experiment is Bernoulli trial (i.e. either fail or pass)
3. probability (p=0.14) remains constant through trials.
4. trials are independent, and random.
Binomial distribution can be used as a close approximation, with the usual assumption that a sample of 27 in thousands of stock is representative of the population., and is given by the probability of x successes (defective).
P(x)=C(N,x)*p^x*(1-p)^(n-x)
where N=27, p=0.14, and C(N,x) is the number of combinations of x items out of N.
So we need the probability of <em>at most one defective</em>, which is
P(0)+P(1)
= C(27,0)*0.14^0*(0.86)^(27) + C(27,1)*0.14^1*(0.86^26)
=1*1*0.0170 + 27*0.14*0.0198
=0.0170+0.0749
=0.0919
as you increase an object's size, you are increasing its volume by the increase cubed, volume is a 3D quantity, and its surface are by the increase squared surface area is a 2D quantity.