Answer:
C = 14 pi inches
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
49 pi = pi r^2
Divide each side by pi
49 pi/pi = pi /pi r^2
49 = r^2
Take the square root of each side
7 = r
The circumference is given by
C = 2 * pi *r
C = 2 * pi *7
C = 14 pi inches
Answer:
<h2>18/√3ft</h2>
Step-by-step explanation:
This is a ratio problem
Step one:
Given the ratio of length:width is <em> "3 space colon space square root of 3"</em>
mathematically it is expressed as
length:width 3:√3 or 3/√3
Step two:
3:√3 or 3/√3
if the built TV has a width of 6ft let the length be x
3/√3=x/6
cross multiply we have
x√3=3*6
x√3=18
x=18/√3ft
therefore the length will be 18/√3ft
Step-by-step explanation:
To write the equation in LaTeX in form y = ab^x or 
for y = abx .........(1)
(a) LaTeX: y=3\sqrt{4^{2x}} y = 3 4 2 x can be written in mathematical form as
; y = 342x
on comparing with equation (1) we get a =3 and b =4
⇒y = 34^x or 
(b) LaTeX: y=\frac{\sqrt[3]{5^{3x}}}{2} y = 5 3 x 3 2 can be written in mathematical form as
![y=\frac{\sqrt[3]{5^{3x}}}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B5%5E%7B3x%7D%7D%7D%7B2%7D)
; y = 342x
on comparing with equation (1) we get a =0.5 and b =5
⇒y = 
(c)LaTeX: y=8^{x+2} y = 8 x + 2 can be written in mathematical form as
on comparing with equation (1) we get a =64 and b =8
y = 
(d)LaTeX: y=\frac{3^{2x+1}}{\sqrt{3^{2x}}} can be written in mathematical form as
= 
= 
on comparing with equation (1) we get a =3 and b =3
y =
Answer:
2.5% probability that a randomly selected book has fewer than 133 pages.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 189 pages
Standard deviation = 28 pages
What is the probability that a randomly selected book has fewer than 133 pages?
133 = 189 - 2*28
So 133 is two standard deviations below the mean.
The Empirical Rule states that 95% of the measures are within 2 standard deviations of the mean. The other 5% is more than two standard deviations distant from the mean. The normal distribution is symmetric, which means that of those 5%, 2.5% are more than 2 standard deviations below the mean and 2.5% are more than 2 standard deviations above the mean.
This means that there is a 2.5% probability that a randomly selected book has fewer than 133 pages.
In x^7•x^4, how many x’s are multiplied together? (There’s 7 in the first factor and 4 in the second.)
x^7•x^4 = x^__? This is your a-value.
Similarly, y^2•y^5 = y^__? How many y’s are there in total being multiplied? This is your b-value.
