<span>|5x - 1| < 1
-1 < 5x - 1 < 1
-1 + 1 < 5x < 1 + 1
0 < 5x < 2
0/5 < x < 2/5
0 < x < 2/5
</span>
Answer:
35/100 *80=25
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
well, you can just use a calculator, or your mind if that's possible, to solve this.
at least, what i think you're asking.
400 × 0.25 = 100.
this one is extra easy because you should know that 25% is a quarter, and 400 can just be divided by 4 to get your answer.
Answer:
95% confidence interval for the percentage of all U.S. public high school students who are obese is [0.110 , 0.190].
Step-by-step explanation:
We are given that 15% of a random sample of 300 U.S. public high school students were obese.
Firstly, the pivotal quantity for 95% confidence interval for the population proportion is given by;
P.Q. =
~ N(0,1)
where,
= sample % of U.S. public high school students who were obese = 15%
n = sample of U.S. public high school students = 300
p = population percentage of all U.S. public high school students
<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>
<u></u>
<u>So, 95% confidence interval for the population proportion, p is ;</u>
P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level
of significance are -1.96 & 1.96}
P(-1.96 <
< 1.96) = 0.95
P(
<
<
) = 0.95
P(
< p <
) = 0.95
<u>95% confidence interval for p</u> = [
,
]
= [
,
]
= [0.110 , 0.190]
Therefore, 95% confidence interval for the percentage of all U.S. public high school students who are obese is [0.110 , 0.190].
Answer:
The slope of line parallel to 2x-y = 18 will be 2.
Step-by-step explanation:
Given
The equation of a line : 2x – y = 18
The standard form of an equation of a line in slope-intercept form is:
y=mx+c
So, we will have to convert the given equation in the standard form.
2x-y=18
-y=-2x+18
-y= -(2x-18)
y=2x-18
The coefficient of x in this form is the slope of the line.
So,
m_1=2
We know that slopes of two parallel lines are equal so if the given line has slope 2, all the lines parallel to this line have slope 2..