From the given scenario above, the sum of x and y should be at most 600. That is presented in the inequality,
x + y ≤ 600
Then, for their income from the sales,
5x + 7y ≥ 3500
We solve the values of x and y in the system of inequalities by substituting first equal sign to both symbols, giving us with values of x and y equal to 350 and 250, respectively.
b. It is still possible for the club to sell enough additional tickets to meet their expenses. Because by selling the remaining 270 tickets for $7, they will earn $1890. Add this to (330)($5), we get an answer of $3540.
Polynomials can be classified two different ways - by the number of terms and by their degree.
1. Number of terms.
A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.
A binomial has two terms. For example: 5x2 -4x
A trinomial has three terms. For example: 3y2+5y-2
Any polynomial with four or more terms is just called a polynomial. For example: 2y5+ 7y3- 5y2+9y-2
Practice classifying these polynomials by the number of terms:
1. 5y
2. 3x2-3x+1
3. 5y-10
4. 8xy
5. 3x4+x2-5x+9
Answers: 1) Monomial 2) Trinomial 3) Binomial 4) Monomial 5) Polynomial
2. Degree. The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).
Answer:
b. Hannah is likely to be incorrect because 9 is not contained in the interval.
Step-by-step explanation:
Hello!
Hannah estimated per CI the difference between the average time that people spend outside in southern states and the average time people spend outside in northern states.
The CI is a method of estimation of population parameters that propose a range of possible values for them. The confidence level you use to construct the interval can be interpreted as, if you were to calculate 100 confidence interval, you'd expect that 99 of them will contain the true value of the parameter of interest.
In this example, the 99%CI resulted [0.4;8.0]hs
Meaning that with a 99% confidence level you'd expect the value of the difference between the average time people from southern states spend outside than the average time people from northern states spend outside is included in the interval [0.4;8.0]hs.
Now, she claims that people living in southern states spend 9 more hours outside than people living in northern states, symbolized μ₁ - μ₂ > 9
Keep in mind that if you were to test her claim, the resulting hypothesis test would be one-tailed
H₀: μ₁ - μ₂ ≤ 9
H₁: μ₁ - μ₂ > 9
And that the calculated Ci is tow-tailed, so it is not valid to use it to decide over the hypotheses pair. This said, considering that the calculated interval doesn't contain 9, it is most likely that Hannah's claim is incorrect.
I hope this helps!
Answer:
2.8 in
Step-by-step explanation:
The volume of any shape is given as the product of base area and height. Therefore, V=Ah
Where A is cross sectional area, h is height
For a triangular, the cross sectional area is given by ½lw where l is length and w is width.
Now v=½lwh
Given that v=4 in³
4=½lwh
8=lwh
Considering the given choices, l can be 2.8 in
The rule is add 18 each time and the mistake is 55