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yulyashka [42]
3 years ago
11

A standard number cube, numbered 1 through 6 on each side, is rolled 3 times. What is the probability of rolling a 2 on all thre

e rolls?
Express your answer as a fraction.
Mathematics
1 answer:
Nina [5.8K]3 years ago
4 0

Answer:

1/216

Step-by-step explanation:

probability of rolling a 2 and a 2 and a 2 = 1/6(1/6)(1/6) = 1/216

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Dan has a wrench which can open to accommodate three different sizes of washers, 5/16 inch, 3/8 inch, and 2/5 inch. Which washer
bezimeni [28]
5/16 = 25/80
3/8 = 30/80
2/5 = 32/80

Because 25/80<30/80<32/80, the washer with the size of 5/16 inch is the smallest~
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Lisa great aunt ina is coming for a 3 day visit.great aunt ina is 96 years old and believes that the secret to her long life is
Helga [31]
Three apples
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3 years ago
−3/8 ÷ 1/2= the numbers are fractions
marishachu [46]

\text {Hi! To solve this problem you must...}

\text {Do Keep Change Flip (KCF):}

\text {Keep: -3/8}

\text {Change: /  into *}

\text {Flip: 1/2 into 2/1}

\text {Your new problem should be -3/8*2/1}

\text {The Final Step is to Multiply:}

\text {Note: When Multiplying Fractions you multiply Numerator by Numerator}

\text {and Denominator by Denominator}

\text {-3/8*2/1=}

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4 0
3 years ago
Answer the following true or false. Justify your answer.
Anna007 [38]

Answer:

a) False b) False c) True d) True e) True

Step-by-step explanation:

a) If A is a subset of B, and x∈B, then x∈A. False

Suppose A is Z (Set of Integers), and B is R (Set of Real Numbers). Then A is a subset of B. x ∈ B, let's say x equals π. If x ∈ B (B = Real Numbers) and x=π then x ∉ A (Z).

We could call A, any other subset of Real numbers (Q, I,..) and we both would come up to the same conclusion when it comes to Real numbers the Set.

So this conclusion is False. Not always an element of a subset is an element of a set.

b) False

For this one, I've drawn some lines, and it is useful to work with them.

Given the set {(x,y) ∈ R²| 0<x<0} then all negative and positive numbers but zero belong to this set.

c) If A and B are square matrices, then AB is also square. True

Taking into account the rules for multiplying matrices. The number of columns of A must be the same number of lines of B to there can be a matrix product.

Whenever we multiply square matrices, we'll always get square matrices. Then this conclusion is true.

d) A and B are subsets of a set S, then A∩B and A∪B are also subsets of S. True

Suppose A= Z (Integer Numbers) and B=Q (Rational Numbers) and S= R (Real Numbers)

A∩B = Z∩Q=∅ and A∪B =Z∪Q = subset

Since the ∅ empty set ⊂ in every set and ZUQ is another Subset of R this is a True conclusion.

e) True. For a matrix A, we define A²= AA

For any Power of Matrices, all we have to do is multiply any given matrix by itself for a given number of times.

M²=M*M

M³=M*M*M

7 0
3 years ago
Heyo! I need some help, please. What is the x coordinate if (x, 17) is on a line that passes through the points (1, 2) and (-1,
expeople1 [14]

Answer:

  • x = 4

Step-by-step explanation:

<u>The line with points (1,2) and (-1,-8). Work out its equation.</u>

  • y = mx + b

<u>The slope is:</u>

  • m = (-8 - 2)/(-1 - 1) = -10/-2 = 5

<u>To find the y intercept, substitute x and y-xoordinates of point (1,2):</u>

  • 2 = 5(1) + b
  • b = 2 - 5
  • b = -3

<u>The line is:</u>

  • y = 5x - 3

<u>Point (x, 17), substitute y-coordinate and solve for x</u>

  • 17 = 5x - 3
  • 5x = 17 + 3
  • 5x = 20
  • x = 20/5
  • x = 4
5 0
3 years ago
Read 2 more answers
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