Since we know that length is twice the width, we can say that:
Perimiter = 2(twice the width) + 2(width)
Therefore, P = 2(2w) +2(w)
this simplifies to P=6w
Sine P=180, 160 = 6w, so w = 30
Because length is twice the width, length = 2 * width, or 2*30, which is 60
Therefore:
length = 60
width = 30
Answer: The change in height is 30 1/4 feet.
Solution:
Change in height: h=?
The car starts by going up 80 and one half feet:
h=+80 1/2 feet
Then the car goes down 50 and one fourth feet:
h=80 1/2 feet - 50 1/4 feet
h=80 2/4 feet - 50 1/4 feet
h= 80-50 2/4-1/4 feet
h=30 (2-1)/4 feet
h=30 1/4 feet
Well, the greatest common factor of both 24, and 60 is 12. 24 ÷ 12 =2, while 60 ÷ 12 is 5, so the new fraction is 2/5.
The reason I divided the numerator and the denominator by the same number is because you are basically dividing by 1(12/12=1). Anything divided by 1 is itself.
Answer: 4.44 %
Step-by-step explanation:
Let A is the event that machine a will break down,
A' is the event that machine a will not break down,
B is the event that machine b will break down,
And, B' is the event that machine will not break down.
According to the question,
P(A) = 2%
⇒ P(A) = 0.02
P(A') = 1 - 0.02 = 0.98
Similarly, P(B) = 0.025
⇒ P(B') = 1 - 0.025 = 0.975
Thus, the probability that exactly one machine will break down on a given day = P(A) × P(B') + P(A') × P(B)
= 0.02 × 0.975 + 0.98 × 0.025
= 0.044
= 4.44 %
Answer:
the leading coefficient of a polynomial is the coefficient of the term with the highest degree of the polynomial
so the answer should be the second one -7+6x+5x^2