Answer:
The ladder can reach a height of 22.6 feet.
Step-by-step explanation:
In order to find the height that the ladder can reach, you need to use the Pythagorean Theorem. The Pythagorean Theorem assumes that the house to the ground will form a right triangle and the leaning ladder is the hypotenuse. Using the formula: a² + b² = c², we can plug in the values that we know and solve for the missing variable. In this case we know the base of the triangle 'b' and the hypotenuse 'c': a² + 8² = 24² or a² + 64 = 576. To solve for a, we must first subtract 64 from both sides: a² + 64 - 64 = 576 - 64 or a² = 512. In order to find just the value of 'a', which represents the height, we need to take the square root of both sides: √a² = √512 or a ≈ 22.6 feet.
Answer:
The upper bound is 399.5
Step-by-step explanation:
Let's start by calculating the mean value of the distribution as the addition of all values given divided by 12:
Average = 289.75.
If the standard deviation is 56, then the upper bound in 95% the confidence interval for the mean price of the phones is going to be given by the mean value added to 56 times 1.96 (since 95% of the population is withing 1.96 times the standard deviation)
That is: 289.75 + 56 * 1.96 = 399.51
which rounded to one decimal place gives: 399.5
Answer:
B: c^11
Step-by-step explanation:
Separate the equation:
c^14/c^6 + c^3/c^6
c^14-6 + c^3/c^6 = c^8 + c^3/c^6
c^8 + c^3-6
c^8 + c^-3
Turn the -3 positive
The final equation = c^8+c^3
Therefore, c^11 is the correct answer.
Answer:
0.3
Step-by-step explanation:
To find p we require the cube root of 0.027, that is
p³ = 0.027, then
p = ![\sqrt[3]{0.027}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B0.027%7D)
= ![\sqrt[3]{\frac{27}{1000} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B27%7D%7B1000%7D%20%7D)
= 
= 0.3
727.29 - 248.50 = 478.79
500-478.79 = 21.21
$21.21 is the least amount of money he needs to deposit
