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Mademuasel [1]
3 years ago
13

A card is drawn from a standard deck of playing cards. what is the probability that the card is either a 9 or a 10? (express you

r answer as a decimal to the nearest thousandths.)
Mathematics
1 answer:
snow_lady [41]3 years ago
7 0
There are 52 cards in a standard deck, and 4 suits. There is one 9 per suit, so 4 cards, plus one 10 per suit, so 8 cards. 8 cards divided by 52 cards in a deck is 0.15384615 or 0.154. 
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In the diagram below, BD is parallel to XY. What is the value of x?
Andrew [12]
Since the diagram represents parallel lines cut by a transversal line, the angles formed by these lines follow a series of rules. One of them is that corresponding angles are equal. Corresponding angles can be identified because they are located in the same position on different "crosses" formed by lines. In this case, angle x and the angle labeled 83° are corresponding angles and are therefore equal. We then know that angle x is 83° so choice B is correct.

I hope this helps.
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Given right triangle ABC with right angle at C, find sin A if a=8 and b=15​
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Answer:

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Step-by-step explanation:

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3 years ago
Help please! Could you explain it too?
Anettt [7]

Answer:

a) not proportional

b) proportional; k = -\frac{3}{5}

Step-by-step explanation:

a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).

Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.

Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.

b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.

y = -(3/5)x fits with y = kx, with k being -3/5

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