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storchak [24]
3 years ago
15

The mean game scores and standard deviations of four seasons of a football team are given below. Season Mean Standard Deviation

2005 19 3.5 2006 21 2.8 2007 12 1.0 2008 9 4.0 Which statement must be true?
Mathematics
2 answers:
shusha [124]3 years ago
8 0
D.The game scores of season 2005 have a greater spread than the game scores of season 2006
timurjin [86]3 years ago
7 0
To find the margin of error, multiply the z-score by the standard deviation, then divide by the square root of the sample size.The z*-score for a 90% confidence level is 1.645.The margin of error is 0.20.The confidence interval is 48.3 to 48.7.48.8 is not within the confidence interval. 
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For each pair of similar figures, find the ratio of the area of the first figure to the area of the second.
Hitman42 [59]

answer:

\frac{4}{9}


explanation:

the area of the larger square is 36 (6*6), and the area of the smaller square is 16 (4*4). to find the ratio of the area, simply just put 16 over 36 and simplify.

\frac{16}{36} = \frac{4}{9}

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if this helped, please consider giving brainliest !

7 0
2 years ago
A bag contains 5 yellow marbles, 7 pink marbles, and 3 purple marbles. Gordon selects a marble without looking. What is the prob
balu736 [363]
It is an 8/15 probability. there are 15 marbles total (5y+7p+3pl=15) 

5/15y, 7/15p, 3/15.

5/15+3/15= 8/15
7 0
3 years ago
Read 2 more answers
Find a third degree polynomial function of the lowest degree that has the zeros below and whose leading coefficient is one.
Tanzania [10]

Answer:

The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is p(x) = x^{3}-5\cdot x^{2}-6\cdot x.

Step-by-step explanation:

From Fundamental Theorem of Algebra, we remember that the degree of the polynomials determine the number of roots within. Since we know three roots, then the factorized form of the polynomial function with the lowest degree is:

p(x) = (x-r_{1})\cdot (x-r_{2})\cdot (x-r_{3}) = 0 (1)

Where r_{1}, r_{2} and r_{3} are the roots of the polynomial.

If we know that r_{1} = -1, r_{2} = 0 and r_{3} = 6, then the polynomial function in factorized form is:

p(x) = (x+1)\cdot x \cdot (x-6) (2)

And by Algebra we get the standard form of the function:

p(x) = x\cdot (x+1)\cdot (x-6)

p(x) = x\cdot (x^{2}-5\cdot x -6)

p(x) = x^{3}-5\cdot x^{2}-6\cdot x (3)

The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is p(x) = x^{3}-5\cdot x^{2}-6\cdot x.

6 0
2 years ago
Solve the system by substitution<br><br> -5x+3y=2<br> y=2x
serious [3.7K]

Answer:

(x,y)=(0,0)

Step-by-step explanation:

Simplify -5x+3y=2x

2y=2x

multiply both sides -7x+3y=0

-x+y=0

eliminiate one vaiable

4 0
2 years ago
Can someone help me ! thx!!
Bond [772]
It should be 100 because it has to add up to 180 and 50+30=80 so the third angle must be 100
5 0
3 years ago
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