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Sunny_sXe [5.5K]
3 years ago
13

Is the equation true, false, or open? 9p+8=10p+7

Mathematics
1 answer:
stich3 [128]3 years ago
6 0

The answer is A because it has a variable. HOPE THIS HELPS!!! <3

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10 points! Please help if able!
TEA [102]

The 30/60/90 right triangle is the biggest cliche in trig.  We recall the sides come in ratio 1:\sqrt{3}:2

1:\sqrt{3}:2 = x:y:4\sqrt{2}

First x:

\dfrac x 1 = \dfrac{4 \sqrt{2}}{2}

x = 2 \sqrt 2

Next y:

\dfrac{y}{\sqrt{3}} =\dfrac{x}{1}

y= 2 \sqrt{2} \sqrt{3} = 2 \sqrt{6}

Choice C


3 0
3 years ago
Five cards are drawn from a standard 52-card playing deck. A gambler has been dealt five cards—two aces, one king, one 3, and on
Nookie1986 [14]

Answer:

The probability that he ends up with a full house is 0.0083.

Step-by-step explanation:

We are given that a gambler has been dealt five cards—two aces, one king, one 3, and one 6. He discards the 3 and the 6 and is dealt two more cards.

We have to find the probability that he ends up with a full house (3 cards of one kind, 2 cards of another kind).

We know that gambler will end up with a full house in two different ways (knowing that he has given two more cards);

  • If he is given with two kings.
  • If he is given one king and one ace.

Only in these two situations, he will end up with a full house.

Now, there are three kings and two aces left which means at the time of drawing cards from the deck, the available cards will be 47.

So, the ways in which we can draw two kings from available three kings is given by =  \frac{^{3}C_2 }{^{47}C_2}   {∵ one king is already there}

              =  \frac{3!}{2! \times 1!}\times \frac{2! \times 45!}{47!}           {∵ ^{n}C_r = \frac{n!}{r! \times (n-r)!} }

              =  \frac{3}{1081}  =  0.0028

Similarly, the ways in which one king and one ace can be drawn from available 3 kings and 2 aces is given by =  \frac{^{3}C_1 \times ^{2}C_1 }{^{47}C_2}

                                                                   =  \frac{3!}{1! \times 2!}\times \frac{2!}{1! \times 1!} \times \frac{2! \times 45!}{47!}

                                                                   =  \frac{6}{1081}  =  0.0055

Now, probability that he ends up with a full house = \frac{3}{1081} + \frac{6}{1081}

                                                                                    =  \frac{9}{1081} = <u>0.0083</u>.

3 0
3 years ago
Read 2 more answers
I don’t understand the question and I can’t find anything in my notes to help
lara [203]

Step-by-step explanation:

The problem states that you have a linear function so expect your equation to have this form:

y = mx + b

where m is the slope and b is the y-intercept. You are also given two points: P1(5, 6) and P2(14, 60). Use these points to solve for the slope m.

m = (y2 - y1) / (x2 - x1) = (60 - 6)/(14 - 5)

= 54/9 = 6

So our equation now becomes

y = 6m + b

To solve for b, plug in the values of P1:

6 = 6(5) + b ---> b = -24

Therefore, our equation is

y = 6m - 24

The rest of the points are

(8, 24)

(11, 42)

7 0
3 years ago
A regression analysis between sales (y in $1000) and advertising (x in dollars) resulted in the following equation y = 50,000 +
Vikentia [17]

Answer:

D. increase of $1 in advertising is associated with an increase of $6,000 in sales.

Step-by-step explanation:

Every dollar in advertisting is multiply by 6 in the equation, but every unit in y represent $1000. That means that $1 1n advertisting is multiply by 6 and then by $1000, that is $1 in advertisting = $6000 in sales.

4 0
3 years ago
Simplify the ratio:<br> 18,750 : 216 =
aleksandr82 [10.1K]
The ratio to this problem is 750:216
5 0
3 years ago
Read 2 more answers
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