Answer:
Since the p value is higher than the significance level so then we can conclude that we have enough evidence to FAIL to reject the null hypothesis and there is no evidence in order to say that the true proportion of teens more than a quarter of Americans age 16 to 17 have sent a text message while driving is higher than 0.25
Step-by-step explanation:
Information provided
n=282 represent the sample selected
X=71 represent the teens indicated that they had sent a text message while driving
estimated proportion of teens indicated that they had sent a text message while driving
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
System of hypothesis
We want to check if more than a quarter of Americans age 16 to 17 have sent a text message while driving, and the hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing we got:
Decision
The p value for this case is:
Since the p value is higher than the significance level so then we can conclude that we have enough evidence to FAIL to reject the null hypothesis and there is no evidence in order to say that the true proportion of teens more than a quarter of Americans age 16 to 17 have sent a text message while driving is higher than 0.25
All real numbers greater than 3
Answer: The point where the two graphed lines cross is the solution to the system of equations. (1, -1)
Step-by-step explanation:
The second equation is already in slope-intercept form y = x - 2
the slope is +1 (invisible coefficient of x) and the y-intercept is -2
y = mx +b
"m" is the slope (the coefficient of x) Positive slopes go up from left to right
"b" is the y-intercept, where the graphed line crosses the x-axis
Rewrite the first equation in slope-intercept form.
6x + y = 5 subtract 6x from both sides
<em>-6x</em> + 6x +y = -<em>6x</em> + 5 .( left side 6x + 6x =0 so "cancel")
y = -6x + 5
Then you know the slope and the intercepts
b = 5 so start with a point at +5 in the y-axis
m = -6 so from there go down 6 and over to the right 1 square and plot another point. Draw a straight line through the two points.
The point where the two graphed lines cross is the solution to the system of equations.
Your graph should look like the screenshot below.
Answer:
9/5 or 1/2
Step-by-step explanation:
Check attachment
I hope this was helpful, Please mark as brainliest
Answer:
<h2>B. Dilation centered at P, followed by reflection across the y-axis and then the line y = -x + 5</h2>
Step-by-step explanation:
<h3>Circle P.</h3>
Centerat (-1, 2).
Radius of 3.
<h3>Circle Q.</h3>
Center at (3, 4).
Radius of 5.
To carry one circle onto the other, their centers and radius must be the same.
So, circle P must be shifted from (-1, 2) to (3, 4), that means the translation is 4 units to the right side and two units upside, this is the first transformation.
The second transformation must be about stretching the circle P, from a radius of 3 to a radius of 5.
Therefore, the right answer is B.
