Answer:
Step-by-step explanation:
<u>Find the z-score:</u>
- z = (x - μ) / σ
- z = (65 - 70) / 4 = -1.25
From the z-score table we get corresponding value of 0.1056
<u>Proportion of scores higher than Cam's score:</u>
- 1 - 0.1056 = 0.8944 = 89.44%
Answer:
the width is 360 ft
Step-by-step explanation:
The computation of the width of the flag is shown below:
Let us assume the width be x
So the length would be x + 340
And, the perimeter is 2,120 ft
So the formula is
Perimeter = 2(length + width)
2,120 = 2(x + 340 + x)
2,120 = 2x + 680 + 2x
2,120 = 4x + 680
4x = 2,120 - 680
x = 360
hence, the width is 360 ft
Answer: 3
Step-by-step explanation: First, we have the fraction 1/3.
Next, the word "of" tells us that we need to multiply.
Lastly, we have 9.
So we will multiply 1/3 x 9.
Whenever you have a fraction without a denominator, it means the exact same thing as putting that fraction over 1.
So 9 is the same thing as 9/1.
So we have 1/3 x 9/1.
When multiplying 2 fractions together, we multiply across the numerators and we also multiply across the denominators.
So 1/3 x 9/1 is 9/3 is 9/3.
Notice however that 9/2 is not in lowest terms so we divide the numerator and denominator by 3 to get the
equivalent fraction 3/1 or just 3.
So 1/3 of 9 is 3.
This is actually a lot easier than it seems :-)! There is a formula in trig called the Pythagorean Theorem. This is cos^2 x + sin^2 x = 1. This means that cos^2 x means the exact same thing as 1-sin^2 x. If we plug this in, we get 1-2sin^2 pi/9. Another helpful trigonometric equation is the double angle identity. This is cos(2x)=1-2sin^2 (x). Plugging our equation from earlier in, we get cos 2pi/9.