Answer:
Step-by-step explanation:
Hello!
To study the threshold of hering the researcher took a random sample of 80 male college freshmen.
The students underwent an audiometry test where a tome was played and they had to press a button when they detected it. The researcher recorded the lowest stimulus level at which the tone was detected obtaining a sample mean of X[bar]= 22.2 dB and a standard deviation of S= 2.1 dB
To estimate the population mean, since we don't have information about the variable distribution but the sample size is greater than 30, you can use the approximation of the standard normal distribution:
X[bar] ± 
Where the semiamplitude or margin of error of the interval is:
d=
Using a 95% level 
d= 1.965 * 
d= 0.46
The point estimate of the population mean of the threshold of hearing for male college freshmen is X[bar]= 22.2 db
And the estimation using a 95%CI is [21.74;22.66]
I hope this helps!
The actual degree measure of arc KJ is 99 degrees
<h3>Circle geometry</h3>
From the given informtion
arc KL = 12x+4
arc KJ = 8x-6
<E = 99 degrees
The equation required to get the value of "x" is given as:
12x + 4 + 8x - 6 + 99 = 360
20x + 97 = 360
20x = 360 - 97
20x = 263
x = 13.15
For the arcKL
arcKJ = 8(13.15) - 6
arcKJ = 99degrees
HEnce the actual degree measure of arc KJ is 99 degrees
learn more on circle geometry here: brainly.com/question/24375372
Answer:
Step-by-step explanation:
To find the inverse function, the first step we do is change f(x) to Y. So now, we have
y=2x+1
Now that we have this function, we simply flip x and y. When we do that, we get
x=2y+1
Now that we have this function, we just solve for Y. We do that by bring 1 to the other side by subtracting it from both sides, then dividing both sides by 2.
x-1=2y+1-1
x-1=2y
(x-1)/2=2y/2
(x-1)/2=y
So, our inverse function is:
y=(x-1)/2, or y=x/2 - 1/2
Hope I helped!
Answer: y=4/3x+2
Step-by-step explanation:
-4x-3y=6
+4x +4x
-3y=4x+6
-3/-3=4/3+6/3
y=4/3x+2
Answer:
x-intercept: (2/3, 0)
y-intercept: (0, -2)
Step-by-step explanation:
x-intercept: when y = 0
3x - y = 2
3x - 0 = 2
x = 2/3
y-intercept: when x = 0
3x - y = 2
0 - y = 2
y = -2
