Answer:
The probability that a randomly selected chocolate bar will have a. Between 200 and 220 calories will be 0.3023
Step-by-step explanation:
Given:
True mean=225
S.D=10
X1=200 and X2=220
To Find:
P(X1<x<X2)
Solution:
<em>BY using Z-table for probability and Z-score we can proceed.</em>
So
For 200 calories Z will be ,
Z=(sample mean -true mean)/S.D
=200-225/10
=-25/10
=-2.5
For 220 calories Z will be ,
Z=220-225/10
=-5/10
=-0.5
So required probability will be
=0.3023
Answer:
The solution for k is the interval (-3.5,1.5)
Step-by-step explanation:
we have
![}[1-k]x^{2}+3x-(3+k)=0](https://tex.z-dn.net/?f=%7D%5B1-k%5Dx%5E%7B2%7D%2B3x-%283%2Bk%29%3D0)
we know that
If the discriminant is greater than zero . then the quadratic equation has two real and distinct solutions
The discriminant is equal to
In this problem we have
a=(1-k)
b=3
c=-(3+k)
substitute
so
solve the quadratic equation by graphing
The solution for k is the interval (-3.5,1.5)
see the attached figure
Answer: A) The x-intercept decreases.
Step-by-step explanation:
Hi, for the function f(x) = mx + b, if the value of b decreases, but the value of m remains the same, The x-intercept decreases.
For example
For b=2, m =1 and x =0 (since the y-value of a linear equation when it crosses the x-axis is 0 )
f(x) =0(1)+2 =2 (x-intercept)
For b= 1 (b decrease)
,m =1 and x =0
F(x) = 0(1) +1 = 1 (x_intercept also decreases)
So, the correct option is A) The x-intercept decreases.
Feel free to ask for more if needed or if you did not understand something.
The missing digit is 0 because it is a divisible of 6
