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Delvig [45]
3 years ago
9

1. Solve for x and y. y = 2x 6x - y = 8

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
3 0
Letter B is the correct answer
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Two experiments are defined below. An event is defined for each of the experiments. Experiment I: Corrine rolls a standard six-s
-BARSIC- [3]

Answer: The correct answer is option C: Both events are equally likely to occur

Step-by-step explanation: For the first experiment, Corrine has a six-sided die, which means there is a total of six possible outcomes altogether. In her experiment, Corrine rolls a number greater than three. The number of events that satisfies this condition in her experiment are the numbers four, five and six (that is, 3 events). Hence the probability can be calculated as follows;

P(>3) = Number of required outcomes/Number of possible outcomes

P(>3) = 3/6

P(>3) = 1/2 or 0.5

Therefore the probability of rolling a number greater than three is 0.5 or 50%.

For the second experiment, Pablo notes heads on the first flip of a coin and then tails on the second flip. for a coin there are two outcomes in total, so the probability of the coin landing on a head is equal to the probability of the coin landing on a tail. Hence the probability can be calculated as follows;

P(Head) = Number of required outcomes/Number of all possible outcomes

P(Head) = 1/2

P(Head) = 0.5

Therefore the probability of landing on a head is 0.5 or 50%. (Note that the probability of landing on  a tail is equally 0.5 or 50%)

From these results we can conclude that in both experiments , both events are equally likely to occur.

3 0
3 years ago
The perimeter of a rectangle is 72 in. The base is 3 times the height. Find the area of the rectangle
Dovator [93]

Answer:

243 in²

Step-by-step explanation:

Step 1. Calculate the<em> base and height </em>of the rectangle

We have two conditions:

(1)   2b+ 2h = 72 in

(2)           b = 3h               Substitute in (1)

2(3h) + 2h = 72               Remove parentheses

   6h + 2h = 72               Combine like terms

           8h = 72               Divide by 6

             h = 9 in             Substitute in(2)

             b = 3 × 9

             b = 27 in

Step 2. Calculate the area of the rectangle

A = bh

A = 27 × 9

A = 243 in²

The area of the rectangle is 243 in².

7 0
3 years ago
Find the value of 7x^2+2x when x=3
frozen [14]

Answer:

69

Step-by-step explanation:

so x2 will give you 9 times 7 which is 63. add it to 2 times 3 which is 63 + 6 will give you 69.

8 0
3 years ago
Multiples of 3 are always multiples of 6.
Elena L [17]

Answer:yes 3x2=6

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
What is the slope of the line y=2x+8
andrey2020 [161]

Answer:

It's 2

Step-by-step explanation:

The number before x is always the slope and the other number, the eight in this case is the y-intercept

8 0
4 years ago
Read 2 more answers
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