Answer:
5c^4( 9c^2 + 4).
Step-by-step explanation:
The GCF of 45 and 20 is 5 and the GCF of c^6 and c^4 = c^4.
So the GCF is 5c^4 and the factors are:
5c^4( 9c^2 + 4)
Answer:
The equation that best represent the situation is;
x^2 = 576
or x^2 -576 = 0
Step-by-step explanation:
Here, we want an equation that best represent the given information in the question.
The length of the garden is twice as long as it is wide
So, given that x is the length of the garden, then x/2 will represent the width of the garden
From the description given in the question, the garden would be rectangular in shape.
Mathematically, the area of a rectangle can be calculated using the formula;
L * B = area
Thus;
x * x/2 = 288
x*2 = 2 * 288
x^2 = 576
NO!
1 yd=3 ft
36*3=108
108+2=110
114>110, therefore no
Answer:
Step-by-step explanation:
Hello!
The study variable is:
X: number of customers that recognize a new product out of 120.
There are two possible recordable outcomes for this variable, the customer can either "recognize the new product" or " don't recognize the new product". The number of trials is fixed, assuming that each customer is independent of the others and the probability of success is the same for all customers, p= 0.6, then we can say this variable has a binomial distribution.
The sample proportion obtained is:
p'= 54/120= 0.45
Considering that the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample proportion to normal: p' ≈ N(p;
)
The other conditions for this approximation are also met: (n*p)≥5 and (n*q)≥5
The probability of getting the calculated sample proportion, or lower is:
P(X≤0.45)= P(Z≤
)= P(Z≤-3.35)= 0.000
This type of problem is for the sample proportion.
I hope this helps!
26< any number larger than 26 (whole numbers and fractions/decimals)