Given:
A bag contains 21 red marbles, 24 green marbles, and 21 blue marbles.
To find:
What color marble will you most likely choose if you choose a marble at random from the bag.
Solution:
We have,
Number of red marbles = 21
Number of green marbles = 24
Number of blue marbles = 21
Total number of marbles = 21+24+21
= 66
Now,
The number of green marbles is largest. So, the probability of getting a green marble is largest.
Therefore, you will most likely choose green marble.
Answer:
The calculated χ² = <u> 0.842 </u> does not fall in the critical region χ² ≥ 5.99 so we accept the null hypothesis that all the proportions are equal and there is not enough evidence to doubt the supermarket's claim.
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Step-by-step explanation:
1) We set up our null and alternative hypothesis as
H0: p1= 5/18, p2= 4/18, p3= 9/18
against the claim
Ha: p1≠ 5, p2≠ 4, p3≠ 9
2) the significance level alpha is set at 0.05
3) the test statistic under H0 is
χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency
which has an approximate chi square distribution with 2 d.f
4) Computations:
Observed Expected χ²= ∑ (O - E)²/ E
5 5.4 0.0296
4 5.4 0.3629
<u>9 7.2 0.45 </u>
<u>∑ 0.842 </u>
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5) The critical region is χ² ≥ χ² (0.05)2 = 5.99
6) Conclusion:
The calculated χ² = <u> 0.842 </u> does not fall in the critical region χ² ≥ 5.99 so we accept the null hypothesis that all the proportions are equal and there is not enough evidence to doubt the supermarket's claim.
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Answer:
No, it is physically impossible to put your tongue in a knot.
Step-by-step explanation:
First you divide them all by 7 to see which are greater than 19
28/7=4
84/7=12
35/7=5
105/7=15
even if you add 1 to them they all are still less than 19
so select them all
hope this helps! :)
Answer:
C
Step-by-step explanation:
The inverse of a matrix is the transpose of the cofactor matrix, divided by the determinant. The determinant is (4)(3) -(1)(-5) = 17, eliminating choice B.
In a 2×2 matrix, the transpose of the cofactor matrix swaps the diagonal elements, and negates the off-diagonal elements. That is, the transpose of the cofactor matrix will look like the matrix of B. When that is divided by 17, you get the matrix of answer choice C.