Answer:
B. 8 cm.
Step-by-step explanation:
The area of a rectangle is the length*width.
The area of the larger rectangle is 4*12=48.
The area of the smaller rectangle is 3*x=3x.
If the larger rectangle's area is twice that of the smaller rectangle, then we can say 48=2*3x.
Let's solve for x
48=2*3x
48=6x
x=8
Answer:
Slope = -7/2
Step-by-step explanation:
The standard equation of a line is expressed as y = mx+c
m is the slope
c is the y-intercept
Given the equation y = -7/2 x - 5/8
Compare with the general equation
mx = -7/2x
Divide both sides by x
mx/x = -7x/2x
m = -7/2
Hence the slope of the line is -7/2
Answer:
a)P=0.42
b) 
Step-by-step explanation:
We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:
a) we have k=2, n=10 and p=0.01:
b) We have, 
, Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.
