Answer:
4.83
Step-by-step explanation:
4.965-0.135=4.83
Answer:
46.08 students said that chicken is their favorite food.
Step-by-step explanation:
Let <em>X </em>denote the number of students who liked chicken.
The proportion of students who liked chicken is, <em>p</em> = 0.08.
About <em>n</em> = 576 students were surveyed about their favorite food.
Every student's answer was independent of the others.
Thus, the random variable <em>X</em> follows a binomial distribution with parameters <em>n</em> = 576 and <em>p</em> = 0.08.
The probability mass function of <em>X</em> is:
![P(X=x)={576\choose x}(0.08)^{x}(1-0.08)^{576-x};\ x=0,1,2,3...576](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%7B576%5Cchoose%20x%7D%280.08%29%5E%7Bx%7D%281-0.08%29%5E%7B576-x%7D%3B%5C%20x%3D0%2C1%2C2%2C3...576)
Then expected number of students who said that chicken is their favorite food is:
![E(X)=np\\\\=576\times0.08\\\\=46.08](https://tex.z-dn.net/?f=E%28X%29%3Dnp%5C%5C%5C%5C%3D576%5Ctimes0.08%5C%5C%5C%5C%3D46.08)
Thus, 46.08 students said that chicken is their favorite food.
Answer:
y=2/3x-5
Step-by-step explanation:
First, let's put this equation into slope-intercept form.
2x-3y=24
-3y=-2x+24
y=2/3x-8
For two lines to be parallel, they must have the same slope. Therefore our slope is 2/3.
Now, we must find b. To do that we can plug the y and the x in.
-7=2/3(-3)+b
-7=-2+b
-5=b
y=2/3x-5
Answer:
x=10 and x-7 is the answer
Step-by-step explanation:
a)2x-7=13
2x=13+7
2x=20
x=20/2
x=10
b)3x+4=25
3x=25-4
3x=21
x=21/3
x=7
i hope it will help you
BD is the same length as FD, so FD=14