We have
11 = 8 + 3 = 2³ + 3
3 = 2 + 1 = 2¹ + 2⁰
so that
11 = 2³ + 2¹ + 2⁰
11 = 1•2³ + 0•2² + 1•2¹ + 1•2⁰
11₁₀ = 1011₂
The correct answer would be the first choice, y=3/2x+3.
Since the line enters the y-axis at (0,3) the y-intercept of the equation would be 3 (as according to the y=mx+b format where b is the y-intercept and m is the slope). The slope would be 3/2 since when you find two perfect points (I used (0,3) and (2,6)) and you use the rise over run method (move up 3 from (0,3) and 2 to the right to get to (2,6)), your slope is 3/2.
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!
Solving process:
1. Plug numbers into formula with their corresponding variable.
V=(1/3)Bh
216=(1/3)(36)h
2. Multiply 1/3 and 36.
216=12h
3. Divide 216 by twelve.
18=h
4. The height is 18 cm.
Answer:
x = 4.
Step-by-step explanation:
We see that it passes through the x axis at the point (4, 0) so x = 4 is a solution.
Check by solving the equation
x^2 - 4x + 13 = 13
Subtract 13 from both sides:
x^2 - 4x = 0
x(x - 4) = 0
x = 0 or x - 4 = 0, so:
x = 0 or 4.