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nadya68 [22]
3 years ago
14

Kiran is spending $12 on games and rides at another carnival, where a game costs $0.25 and a ride costs $1.

Mathematics
1 answer:
fredd [130]3 years ago
5 0

Answer:

0.25x + y = 12

Step-by-step explanation:

I am hoping that these steps will be self-explanatory, as I am not quite sure how to explain writing an equation:

0.25x + y = 12

Hope this helps :)

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Ilia_Sergeevich [38]
Generally plug 0 in for x and solve for y. whatever y is is your y intercept
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Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an lg sm
GuDViN [60]
Answer: 0.951%

Explanation:

Note that in the problem, the scenario is either the adult is using or not using smartphones. So, we have a yes or no scenario involved with the random variable, which is the number of adults using smartphones. Thus, the number of adults using smartphones follows the binomial distribution.

Let x be the number of adults using smartphones and n be the number of randomly selected adults. In Binomial distribution, the probability that there are k adults using smartphones is given by

P(x = k) = \frac{n!}{k!(n-k)!}p^k (1-p)^{n-k}

Where p = probability that an adult is using smartphones = 54% (since 54% of adults are using smartphones). 

Since n = 12 and k = 3, the probability that fewer than 3 are using smartphones is given by

P(x \ \textless \  3) = P(x = 0) + P(x = 1) + P(x = 2)
\\ \indent = \frac{12!}{0!(12-0)!}(0.54)^0 (1-0.54)^{12-0} + \frac{12!}{1!(12-1)!}(0.54)^1 (1-0.54)^{12-1} + \\ \indent \frac{12!}{2!(12-2)!}(0.54)^2 (1-0.54)^{12-2}
\\
\\ \indent = \frac{12!}{(1)(12!)}(0.46)^{12} + \frac{12(11!)}{(1)(11!)}(0.54)(0.46)^{11}+ \frac{12(11)(10!)}{(2)(10!)}(0.54)^2(0.46)^{10}
\\
\\ \indent = (1)(0.46)^{12} + (12)(0.54)(0.46)^{11}+ (66)(0.54)^2(0.46)^{10}
\\ \indent \boxed{P(x \ \textless \  3) \approx 0.00951836732 }


Therefore, the probability that there are fewer than 3 adults are using smartphone is 0.00951 or 0.951%.


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The answer is $31 dollars because there is 31 days in August
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Use the diagram, which is not drawn to scale to find AD if you know that AC=24 & BC=12
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Answer:

Option b. AD=18\ units

Step-by-step explanation:

step 1

In the right triangle ABC

<em>Find the sine of angle CAB</em>

sin( ---> the sine of angle CAB is equal to divide the opposite side angle CAB (BC) by the hypotenuse (AC)

substitute

sin(

simplify

sin( ---->equation A

step 2

In the right triangle BDC

<em>Find the sine of angle CBD</em>

sin( ---> the sine of angle CBD is equal to divide the opposite side angle CBD (DC) by the hypotenuse (BC)

substitute

sin( ----> equation B

step 3

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

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solve for DC

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Gemiola [76]

Answer:

The equation of the line is y = 7x - 10

Step-by-step explanation:

* Lets revise the form of the equation

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- The slope of the line which passes through points (x1 , y1) , (x2 , y2)

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* Lets solve the problem

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∴ y = 7x + -10

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