Answer:
11.58%
Step-by-step explanation:
The initial volume if blood flowing through the artery is given by

To achieve a new volume of 155% (55% increase) of the initial volume, the new radius must be:
![V'= 1.55V\\1.55V=k(r')^4\\1.55kr^4 = k(r')^4\\(\sqrt[4]{1.55}*r)^4=(r')^4 \\(1.1158*r)^4=(r')^4 \\r'=1.1158*r](https://tex.z-dn.net/?f=V%27%3D%201.55V%5C%5C1.55V%3Dk%28r%27%29%5E4%5C%5C1.55kr%5E4%20%3D%20k%28r%27%29%5E4%5C%5C%28%5Csqrt%5B4%5D%7B1.55%7D%2Ar%29%5E4%3D%28r%27%29%5E4%20%5C%5C%281.1158%2Ar%29%5E4%3D%28r%27%29%5E4%20%5C%5Cr%27%3D1.1158%2Ar)
Since the new radius is 1.1158 times larger than the initial radius, the percentage increased is:

Complete question:
Which equation accurately represents this statement? Check all that apply.
Negative 3 less than 4.9 times a number, x, is the same as 12.8
A: -3-4.9x=12.8
B: 4.9x-(-3)=12.8
C: 3+4.9x=12.8
D: (4.9-3)x=12.8
E: 12.8=4.9x+3
Answer:
B: 4.9x-(-3)=12.8
C: 3+4.9x=12.8
E: 12.8=4.9x+3
Step-by-step explanation:
The word equation can be expressed mathematically as follows
negative 3 → -3
less than 4.9 times a number , x → 4.9 x - (-3)
is same as 12.8 → 4.9 x - (-3) = 12.8
The equation can be expressed as
4.9 x - (-3) = 12.8
when you open the bracket, you multiply -3 time - 1 . MInus times minus is equals to plus. so you get
4.9 x + 3 = 12.8
12.8 = 4.9x+3
The graph of the function f(x)=(x+2)(x+6) is shown
The statement the function is negative for all real values of x where x <-2
Answer:

Step-by-step explanation:
Hello!
The high school dropout rate, as a percentage of 16- through 24- year-olds who are not enrolled in school and have not earned a high school credential was is 2009 8.1%.
To thest the claim that this percentage has decreased, a polling company takes a random sample of 1000 people between the ages of 16 and 24 and finds out that 6.5% of them are highschool dropouts.
The study variable is
X: Number of individuals with age between 16 and 24 years old that are highschool dropouts.
The parameter of interest is the proportion fo highschool dropouts p
And the sample proportion is p'= 0.065
The hypotheses are:
H₀: p ≥ 0.081
H₁: p < 0.081
To study the population proportion, you have to approximate the distribution of the sampling proportion to normal applying the Central Limit Theorem, then the statistic to use is an approximate standard normal:

I hope this helps!
Total number of students = 10
As we have to find
P(A/B) = Probability( A when B has happend)
P(A/B)= P(A intersection B)/P(B)
According to given figure only yolanda and Rob are in both club
Therefore,P(A intersection B) 
Number of student in karate club =6
P(B)
P(A/B) 
Converting division into multiplication by reciprocating the term after division
P(A/B) 
On solving we get ,
P(A/B) 
P(A/B)
P(A/B) 