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saw5 [17]
3 years ago
15

If two events are complementary, then we know that: Multiple Choice the sum of their probabilities is one. the joint probability

of the two events is one. their intersection has a nonzero probability. they are independent events.
Mathematics
1 answer:
notka56 [123]3 years ago
3 0

Answer:

The joint probability of the two events is one.

Step-by-step explanation:

Complementary events:

If two events are complimentary, these three following things are true:

They are dependent.

The intersection of them is zero.

The joint probability of the two events is one.

The last one is the correct choice.

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Sarah’s mom took 3 hours to clean, but when Sarah helped, it took them 2 hours to clean. How many hours will it take Sarah to cl
Aleonysh [2.5K]

Answer:

<em>It takes them 1.875 hours.</em>

<em></em>

<em>Step-by-step explanation:</em>

<em></em>

<em>Here, the job is cleaning the house.</em>

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<em>Mom does 1 job in 3 hours.</em>

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<em>In 1 hour, mom does 1/3 of the job.</em>

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<em>Dad does 1 job in 5 hours.</em>

<em></em>

<em>In 1 hour, dad does 1/5 of the job.</em>

<em></em>

<em>Mom and dad working together do the job in x hours.</em>

<em></em>

<em>In 1 hour, mom and dad together do 1/x of the job.</em>

<em></em>

<em>1/3 + 1/5 = 1/x</em>

<em></em>

<em>5/15 + 3/15 = 1/x</em>

<em></em>

<em>8/15 = 1/x</em>

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<em>8x = 15</em>

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<em>x = 15/8 = 1.875</em>

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<em>Answer: It takes them 1.875 hours.</em>

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2 years ago
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Which statement provides the correct explanation of the “Golden Rule”?
jeka57 [31]
The golden rule is, "Do unto others, as you would have them do unto you."  Hope that I helped you.  If right, can you please mark as the brainliest.  Thank you.
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3 years ago
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A 20 packet box of detergent sells for $5.49. What is the unit rate?
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Answer:

Each packet is $3.64

20 / 5.49 = 3.64

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3 years ago
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The backyard is 20 inches long and 37 inches wide. What is the area of the backyard.
gizmo_the_mogwai [7]

            - - - - - - -- - - - - - - - - - - - - -- -

\diamond\large\textsf{\textbf{\underline{Given\:question:-}}}

          The backyard is 20 inches long and 37 inches wide. What is the area of the backyard?

\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}

We are given the backyard's length (20 inches long) and the backyard's width (37 inches wide).

We are asked to find the area of the backyard, which can be found using the following formula:-

      \boxed{\bold{A_{(rectangle)}=LW}}

<u>Where:-</u>

<u></u>

  • A=Area of rectangle
  • L=Length (20 inches)
  • W=Width (37 inches)

Substitute the values:-

\boxed{\bold{A=20*37}}

On simplification,

✳︎ \boxed{\bold{A=740\:in^2}}, which is our final answer.

<h3> Good luck with your studies.</h3>

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5 0
2 years ago
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Find the distance between the points (4,-8) and (7-10).
Anastaziya [24]

Answer:

\displaystyle d = \sqrt{13}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (4, -8)

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<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

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  2. (Parenthesis) Subtract/Add:                \displaystyle d = \sqrt{(3)^2+(-2)^2}
  3. [√Radical] Exponents:                         \displaystyle d = \sqrt{9+4}
  4. [√Radical] Add:                                    \displaystyle d = \sqrt{13}
6 0
3 years ago
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