Answer:
ABCD is a parallelogram
Step-by-step explanation:
Given: AD ≅ BC and AD ∥ BC Prove: ABCD is a
parallelogram. Statements Reasons 1. AD ≅ BC; AD ∥ BC
1. given 2. ∠CAD and ∠ACB are alternate interior ∠s 2.
definition of alternate interior angles 3. ∠CAD ≅ ∠ACB 3.
alternate interior angles are congruent 4. AC ≅ AC 4.
reflexive property 5. △CAD ≅ △ACB 5. SAS congruency
theorem 6. AB ≅ CD 6. ? 7. ABCD is a parallelogram 7.
Let x be the discrete random variable whose value is the number of successes in n trials.
The probability distribution function for x of the binomial distribution B(n,p) is defined as

Given that the random sample size is 
let x represent number of customers who purchase running shoes
Let "p" be the probability of customers in a sporting goods store purchase a pair of running shoes.
It is given that 70% of the customers in a sporting goods store purchase a pair of running shoes.
Thus 
Thus the Probability distribution of x is given by
, where 
As the problem states, to solve this, we are going to use the equation

where

is the loudness in dB

is the intensity of a sound

<span>is the minimum intensity detectable by the human ear
</span>
We know for our problem that

; we also now that the minimum intensity detectable by the human ear is

, so

. Lets replace those values in our equation to find

:


Qe can conclude that since the explosion is under 100dB, it does not violates the regulation of the town. We used tow physical values to calculate the answer: the intensity of the sound of the explosion,

, and the minimum intensity detectable by the human ear

.
Answer:
a) 15 house with 3 bedrooms
b) 40 ÷ 5 = 8
Step-by-step explanation:
Can you make me the brainliest?