Answer:
Option D - Because the Z* was only a little bigger than the Zc, the test supports the null hypothesis and we conclude μ = 10
Step-by-step explanation:
In z-value problems, the normal practice is that If the calculated z-value is less than the critical z-value, we will reject the null hypothesis and accept the alternative hypothesis but if it's greater than the critical z-value, we will fail to reject the null hypothesis and say that the test was not statistically significant.
In this problem, the calculated z-value of -1.49 is greater than -1.645, so we will fail to reject the null hypothesis and say that the test was not statistically significant.
Thus, in this question, we fail to reject the null hypothesis because the calculated value of z was bigger the value of z_c.
Answer:
115.5
Step-by-step explanation:
the car is traveling at precisely 52.5 miles an hour
Answer:
Given statement: The number of gallons of water in the swimming pool x minutes after turning on the faucet is represented by :
.....[1]
The equation of straight line is represented by
.....[2]
where
m represents the slope of line
and
b is the y-intercepts.
On comparing the equation [1] with [2] we get;
slope(m) = 24 and
y-intercept(b) = 285.
x-intercept defined as the graph crosses the x-axis i.e,
substitute the value of y =0 in [1] to solve for x;
0= 24x + 285
Subtract 285 from both sides we get;
-285 = 24x
Divide both sides by 24 we get;
![x = -\frac{285}{24} = -11.875](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B285%7D%7B24%7D%20%3D%20-11.875)
x = -11.875
(a)
y= 24x + 285 where x is in minute.
You can see the graph of the equation as shown below.
(b)
Slope of the equation = 24
y-intercepts = 285
(c)
Since, x intercept is not applicable to this problem because value of x is negative as x represents the time(in minutes)
2x^2 - 3 = -4x - 1
2x^2 + 4x - 3 + 1 = 0
2^2 + 4x - 2 = 0 <==
Plane's air speed is 437.5 mph
Wind velocity is 87.5 mph
An actual question hasn't been asked, but an educated guess would be to determine the plane's airspeed or the wind velocity. So I'll calculate those values for you.
When traveling with the wind, the combined speed is 2100/4 = 525 mph.
When traveling against the wind, the combined speed is 2100/6 = 350 mph.
So we can create 2 equations with 2 unknowns. They are:
a - b = 350
a + b = 525
Let's add the two equations together.
a - b = 350
a + b = 525
2a = 875
a = 437.5
So the plane's speed in still air is 437.5 mph.
Let's calculate the wind velocity.
a + b = 525
437.5 + b = 525
b = 87.5
And the wind velocity is 87.5 mph