Answer:
Catherine is not correct (see the explanation)
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
The formula to calculate the slope between two points is equal to
the two points from the graph are
(4,40) and (7,70)
substitute the values in the formula
therefore
Catherine is not correct
The outcomes of rolling fair six sided die is 
. The prime numbers in the above outcomes are 
. The probability of not rolling a prime number is 
.
Each trial is independent.
In the given experiment of 100 trials, the binomial probability model can be used to predict the number of occurrence of non-prime numbers (X). The probability mass function is
. Since 
Answer:
B. {-21.-7. 7. 21)
Step-by-step explanation:
The set made up of odd numbers and multiples of 7 is given as;
{-21.-7. 7. 21)
Multiples of 7 are usually those numbers where 7 is factor.
Odd numbers are numbers that cannot be divide by 2.
So, the most fitting answer is B.
15)
∠EAD ≅ ∠CAB . . . . . . reflexive property. An angle is congruent with itself.
∠AED ≅ ∠ACB . . . . . . given
ΔABC ≅ ΔADE . . . . . . angle-angle similarity: If two angles are congruent, all three angles are congruent and the triangles are similar.
length = 4 yards and width = 3.5 yards
let width be w then length is 2w - 3
area = w(2w - 3) = 14 (rearrange in standard form )
2w² - 3w - 14 = 0 ← in standard form
(2w - 7 )(w + 2 ) = 0 ← in factored form
equate each factor to zero and solve for w
2w - 7 = 0 ⇒ w = 3.5
w + 2 = 0 ⇒ w = - 2
but w > 0, hence w = 3.5
width = 3.5 yards and length = (2 × 3.5 ) - 3 = 4 yards
