Hello! First we should note that the shape of the figure can be broken down into two rectangular prisms, so that the expression will look like:
Volume = (w • h • l) vertical rectangular prism + (w •h • l) horizontal rectangular prism
Thus Volume = (7 • 3 • 3) + (9 • 3 • 4)
These are 6 questions and 6 answers.
To find each probability we will use the definition of probability:
Probability = number of positive outcomes / number of total possible outcomes
1) <span>P(Jack or ten)
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<span>Answer: 2/13 ≈ 0.12
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Justification:
i) Positive outcomes: A standard deck of cards has 4 jacks and 4 tens, then those are 4 + 4 = 8 different positive outcomes.
ii) Possible outcomes: a standard deck of cards has 52 different cards, so, that is a total of 52 different possible outcomes
iii) Probability, P
P = number of positive outcomes / number of total possible outcomes
P = 8 / 52 = 2/13 ≈ 0.15
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2.P(red or black)
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Answer: 1
Justification:
i) Positive outcomes
Half of the cards are red and half of the cards are black, so they both add for the total of the cards = 52
ii) Possible outcomes: 52 cards
iii) Probaility, P
P = number of positive outcomes / number of total possible outcomes
P = 52 / 52 = 1
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3.P(queen or club)
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Answer: 4/13 ≈ 0.31
Justification:
i) Positive outcomes
There are 4 Queens.
There are 1/4 of 52 clubs = 1/4 × 52 = 13 clubs.
But you cannot add all of them, because one club is the Quenn of Clubs.
Then, the total number of different Queens and clubs is 4 + 13 - 1 = 16
ii) Possible outcomes: 52 different cards
iii) Probaility, P
P = number of positive outcomes / number of total possible outcomes
P = 16 /52 = 4 / 13 ≈ 0.31
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4.P(red or ace)
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Answer: 7 / 13 ≈ 0.54
Justification:
i) Positive outcomes
Half of the cards are red: 26
There are 4 aces.
Since 2 aces are red, the number of different red and aces cards is: 26 + 4 - 2 = 28
ii) Possible outcomes: 52 different outcomes
iii) Probaility, P
P = number of positive outcomes / number of total possible outcomes
P = 28 / 52 = 7 / 13 ≈ 0.54
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5.P(diamond or black)
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Answer: 1/2 = 0.5
Justification:
i) Positive outcomes
There are 52 / 4 = 13 diamonds
There are 26 black cards.
All the diamonds are black cards.
Then, the number of different diamond or black cards is 13 + 26 - 13 = 26
ii) Possible outcomes: 52 different cards.
iii) Probaility, P
P = number of positive outcomes / number of total possible outcomes
P = 26 / 52 = 1/2 = 0.5
6.P(face card or spade)
Answer: 11/26 ≈ 0.42
Justification:
i) Positive outcomes
Face cards are jacks, queens and kings. That is 3 × 4 = 12 different cards.
The spades are 13 cards.
Since, 3 of the faces are spade cards, the number of different cards of those types are 12 + 13 - 3 = 22
ii) Possible outcomes: 52 different cards
iii) Probaility, P
P = number of positive outcomes / number of total possible outcomes
P = 22 / 52 = 11 / 26 ≈ 0.42
Answer:
below
Step-by-step explanation:
for f(x) insert the x into the equation.
example:
f(-6) → -(-6+2)^2
follow pemdas
p: -(-4)^2
e: -(16) because -4 times -4 is 16.
m: -(16) → -16
Do that for the rest of the first table. As for the inverse table, f(x) and x will just switch spots. so (-6,-16) will become (-16,-6)
Answer:
p = 18
Step-by-step explanation:
4(p-7) = 44
The operations in order are to distribute first, 4p - 28 = 44
Isolate the variable, 4p = 72
and divide for the answer, p = 18
P stands for pictures, the number of pictures that can be saved to your photo stream at once is 18.
Using proportions, it is found that Diego traveled 15 miles in the cross-town cab ride.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, for the miles traveled, Diego paid 18.50 - 2.25 = $16.25. Considering the fee of $1.25 per mile, the distance he traveled is given by:
d = 16.25/1.25 = 15.
More can be learned about proportions at brainly.com/question/24372153
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