8n² + 4n - 16 = -n²
8n² + n² + 4n - 16 = -n² + n²
9n² + 4n - 16 = 0
n = <u>-4 +/- √(4² - 4(9)(-16))</u>
2(9)
n = <u>-4 +/- √(16 + 576)</u>
18
n = <u>-4 +/- √(592)
</u> 18
n = <u>-4 +/- 24.33</u>
18
n = -<u>4 + 24.33</u> n = <u>-4 - 24.33</u>
18 18
n = <u>20.33</u> n = <u>-28.33</u>
18 18
n = 1.1294 n = -1.57389
<u />
Answer:
2.5
Step-by-step explanation:
By Pythagoras theorem,
Hypotenuse = √( 4^2 + 3^2 )
= √( 16 + 9 )
= √25
Hypotenuse = 5
4 / 2 = 5 / x
2 = 5 / x
x = 5 / 2
x = 2.5
Answer:
2 an ? Im pretty sure hope it helped
Answer:
3972.72 specimens
Step-by-step explanation:
We solve using the z score formula:
z = (x-μ)/σ where
x is the raw score = 73 cm
μ is the population mean = 147 cm
σ is the population standard deviation = 30 cm
N is the number of samples = 4000
For x > 73
z = 73 - 147/30
z = -2.46667
Probability value from Z-Table:
P(x<73) = 0.0068189
P(x>73) = 1 - P(x<73) = 0.99318
The probability of having a height greater than 73cm is: 0.99318
The number of specimens that have a height greater than 73cm is calculated as: 0.99318 × 4000
= 3972.72 specimens
