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Luba_88 [7]
3 years ago
14

A vendor sells pretzels and drinks at a corner stand. He charges $2.25 for a pretzel and $1.50 for a drink. One day, the vendor

made a total of $463.50 by selling a total of 257 items.
Is this the right answer? $2.25p + $1.50d = $463.50
Mathematics
2 answers:
Fantom [35]3 years ago
7 0
Dugfgjtzktzyddyiyditdys
Alex73 [517]3 years ago
5 0
 153 drinks: 153 x $1.50 = 229.5
104 pretzels: 104 x $2.25 = 234
mark me brainiest if i right ty :)
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You have two biased coins. Coin A comes up heads with probability 0.1. Coin B comes up heads with probability 0.6.However, you a
Andrews [41]

Answer:

The probability that our guess is correct = 0.857.

Step-by-step explanation:

The given question is based on A Conditional Probability with Biased Coins.

Given data:

P(Head | A) = 0.1

P(Head | B) = 0.6

<u>By using Bayes' theorem:</u>

P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}

We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.

Now,

P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)

By putting the value, we get

P(Head) = 0.5 × 0.1 + 0.5 × 0.6

P(Head) = 0.35

Now put this value in P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)} , we get

P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}

P(B|Head) = 0.6 \times \frac{0.5}{0.35}

P(B|Head) = 0.857

Similarly.

P(A|Head) = 0.857

Hence, the probability that our guess is correct = 0.857.

7 0
3 years ago
Find the equation of a line that goes through the points (-3,5) and (5,-11)
Rasek [7]

(\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-11}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-3)}}}\implies \cfrac{-16}{5+3}\implies \cfrac{-16}{8}\implies -2

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-5-2(x+3)\implies y-5=-2x-6\implies y=-2x-1

3 0
2 years ago
Suppose that you roll a pair of honest dice. If you roll a total of​ 6, you win​ $18; if you roll a total of​ 11, you win​ $72;
ser-zykov [4K]

You can roll a total of 6 by rolling (1, 5), (2, 4), (3, 3), (4, 2), or (5, 1). There are 36 total possible rolls that can be obtained, so you roll a total of 6 with probability 5/36.

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Any of the other remaining 29 outcomes occurs with probability 29/36.

The expected value of your winnings is

$18*5/36 + $72*1/18 - $9*29/36 = -$0.75

so the answer is E.

7 0
3 years ago
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arsen [322]

Answer:x=7 y=5

Step-by-step explanation:

I just took it, sorry I'm not good at math and just guessed until I got it right for this answer.

8 0
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romanna [79]
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To solve this problem, you could use a graphing calculator to graph the given equation. Then, determine when this line crosses 100. It crosses when x = 15.539. Therefore, we would have to round up to 16 so it is at least 100.

You could use the quadratic equation to solve: 100 = x^2 -12x + 45

Either you will get 16. If you use the quadratic formula, make sure to only use the positive answer.
7 0
3 years ago
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