Answer:
0.00457 or 0.457%
Step-by-step explanation:
Glen Davis makes a free throw 74% of the time, meaning he misses 26% of the time. Four him to miss four in a row, it would require him to miss his first throw and his second throw and his third throw and his fourth throw. I highlight and because it is a helpful tip to remember that AND situations require multiplication while OR situations require addition.
So in this question we multiply the probabilities of him missing.
This answer has been rounded off to three significant figures
Answer;-1.5238095238
First step; 8/15
8/15 = 0.53 and so on in a repeating form. (0.53333333333)
Divide; 0.53 / -0.35
= -1.5238095238
Answer:
The second box
Step-by-step explanation:
The volume of a pyramid can be given by the formula: V=31Ah. Where. A: Area of the V=(1/3)(B)(h)
multiply both sides by 3
3V=Bh
divide both sides by B
3V/B=h
Therefore, If it is wider it has more space to carry more items such as macaroni.
I hope this helps! (:
A) There are a number of ways to compute the determinant of a 3x3 matrix. Since k is on the bottom row, it is convenient to compute the cofactors of the numbers on the bottom row. Then the determinant is ...
1×(2×-1 -3×1) -k×(3×-1 -2×1) +2×(3×3 -2×2) = 5 -5k
bi) Π₁ can be written using r = (x, y, z).
Π₁ ⇒ 3x +2y +z = 4
bii) The cross product of the coefficients of λ and μ will give the normal to the plane. The dot-product of that with the constant vector will give the desired constant.
Π₂ ⇒ ((1, 0, 2)×(1, -1, -1))•(x, y, z) = ((1, 0, 2)×(1, -1, -1))•(1, 2, 3)
Π₂ ⇒ 2x +3y -z = 5
c) If the three planes form a sheath, the ranks of their coefficient matrix and that of the augmented matrix must be 2. That is, the determinant must be zero. The value of k that makes the determinant zero is found in part (a) to be -1.
A common approach to determining the rank of a matrix is to reduce it to row echelon form. Then the number of independent rows becomes obvious. (It is the number of non-zero rows.) This form for k=-1 is shown in the picture.
The first one is 5
Second 3
Third -7
Fourth is 9
And fifth is 10
