Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: air pressures of properly inflated sports balls.
<em>Average recommended psi Tolerance
</em>
<em>(pounds per square inch)
</em>
<em>Soccer ball 12.05
±3.55
</em>
<em>Basketball 8.00
±0.5 </em>
<em>Volleyball 4.44
±0.18</em>
Each recommendation is expressed like the "average air pressure" ± "standard deviation of the recommended air pressure" so if you express it in inequality it will be:
X[bar]-S ≤ X ≤ X[bar]+S
So for each ball type, you can write it as:
<u>Soccer ball</u>
12.05-3.55 ≤ X ≤ 12.05+3.55
8.5 ≤ X ≤ 15.6
<u>Basketball</u>
8.00-0.5 ≤ X ≤ 8.00+0.5
7.5 ≤ X ≤ 8.5
<u>Volleyball</u>
4.44-0.18 ≤ X ≤ 4.44+0.18
4.26 ≤ X ≤ 4.62
I hope this helps!
Answer:
slope = 2, vertical intercept = 10
Step-by-step explanation:
The intercept, also called the y-intercept, is where the line crosses the y-axis
The vertical line (y-int) is crossed at 10, so vertical intercept = 10
Slope equals rise over run:
The line goes up 10 and moves right 5
10/5 = 2
This line has a positive 2 slope
You didn't include the formula.
Given that there is no data about the mass, I will suppose that the formula is that of the simple pendulum (which is only valid if the mass is negligible).
Any way my idea is to teach you how to use the formula and you can apply the procedure to the real formula that the problem incorporates.
Simple pendulum formula:
Period = 2π √(L/g)
Square both sides
Period^2 = (2π)^2 L/g
L = [Period / 2π)^2 * g
Period = 3.1 s
2π ≈ 6.28
g ≈ 10 m/s^2
L = [3.1s/6.28]^2 * 10m/s^2 =2.43 m
I hope this helps you.
Factors of 9: 1; 3; 9
Factors of 36: 1; 2; 3; 4; 6; 9; 12; 18; 36
GCF(9; 36) = 9
9514 1404 393
Answer:
g(x) = 7x -1
Step-by-step explanation:
The y-coordinate of a function tells how many units the function value lies above the x-axis. Translating that value down 4 units is the same as subtracting 4 from the function value.
g(x) = f(x) -4
g(x) = 7x +3 -4
g(x) = 7x -1
