Answer:

Step-by-step explanation:
The ratio of the side lengths (AB) and (BC) is given. One is also given an expression for the side lengths of each of these sides. Set up a proportion to describe this scenario, then solve using cross products;

Substitute,

Cross products,


Inverse operations,

Fermat's little theorem states that

≡a mod p
If we divide both sides by a, then

≡1 mod p
=>

≡1 mod 17

≡1 mod 17
Rewrite

mod 17 as

mod 17
and apply Fermat's little theorem

mod 17
=>

mod 17
So we conclude that

≡1 mod 17
Answer:
a) 0.71
b) 0.9863
Step-by-step explanation:
a. Given the mean prices of a house is $403,000 and the standard deviation is $278,000
-The probability the probability that the selected house is valued at less than $500,000 is obtained by summing the frequencies of prices below $500,000:

Hence, the probability of a house price below $500,000 is 0.71
b. -Let X be the mean price of a randomly selected house.
-Since the sample size 40 is greater than 30, we assume normal distribution.
-The probability can therefore be calculated as follows:

Thus, the probability that the mean value of the 40 houses is less than $500,000 is 0.9863
Answer: b. 3x + 2
Step-by-step explanation:
2l + 2w = p
2l + 2(2x - 1) = 10x + 2
2l + 4x - 2 = 10x + 2
2l = 6x + 4
l = 3x + 2
60 miles per hour.
So there are 3600 seconds in 1 hour.
60/3600