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vladimir1956 [14]
3 years ago
14

A culinary club earns $1350 from a dinner service. They sold 35 adult meals and 58 student meals. An adult meal costs $12 more t

han a student meal.
Mathematics
1 answer:
liq [111]3 years ago
7 0
The adult meal is $38.57 and the student meal is $26.27. You can try it out on a calculator, all you have to do is divide $1350 by 35 and then subtract your answer by 12!

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Plz help with 9 and 10
GenaCL600 [577]

Answer:

Tony can buy three games with his savings over two months and Alice can buy six concert tickets.  

Step-by-step explanation:

Over two months, Tony has watched a total of 53.6 hours of television (35.4 + 18.2).  If he save $2.50 for each hour, we can multiply his total hours by the amount per hour, or 53.6 x 2.50 = $134.00.  Since each game that Tony wants to buy costs $35.75, we need to divide his total savings by the cost of each game, or 134/35.75 = 3.75.  Since Tony can't buy a portion of the game, the most amount of games he can buy is 3.  Alice watched a total of 48.4 hours of television (21.8 + 26.6).  If she also saves $2.50 per hour, then her total savings is 2.50 x 48.4 = $121.00.  Since her concert tickets are $17.50 a piece, we divide her total savings: 121/17.50 = 6.9.  Alice can also not buy a partial ticket, so the total amount she can buy is 6.  

4 0
3 years ago
Will give brainpower and most points! thank you please help!
ollegr [7]

Answer:

See image and connect the lines using the coordinates.

Step-by-step explanation:

7 0
3 years ago
Katie is making posters for the school play. She borrows a 12-pint set of paint from the art teacher. To make her posters really
xenn [34]
12 divided by 4 is 3 so 3 pints of paint
3 0
3 years ago
Read 2 more answers
A line passes through the two given points. Is it vertical, horizontal, or neither?
Leviafan [203]

<u>Answer:</u>

A line passes through the two given points (5,2), (5,-2). The line is vertical line

<u>Solution:</u>

Given, two points are (5, 2) and (5, -2)

We have to find that a line that passes through the given two points is vertical or horizontal or neither.

First let us find the slope of the line that passes through given two points.

So, slope of line m =\frac{y_{2}-y_{1}}{x_{2}-x_{2}} \text { where, }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right) \text { are two points on line. }

So slope of our line =\frac{-2-2}{5-5}=\frac{-4}{0} = undefined

Here slope of our line is undefined which means it is parallel to the y – axis.

Hence, line passing through given points is vertical line

6 0
3 years ago
An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect. ​(a) Use a bin
Advocard [28]

Answer:

a) 0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

b) 0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

Step-by-step explanation:

Binomial distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

To use the Poisson approximation for the binomial, we have that:

\mu = np

1 in every 2500 automobiles produced has a particular manufacturing defect.

This means that p = \frac{1}{2500} = 0.0004

a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars.

This is P(X = 4) when n = 7000. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{7000,4}.(0.0004)^{4}.(0.9996)^{6996} = 0.1558

0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p.

Using the approximation:

\mu = np = 7000*0.0004 = 2.8. So

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 4) = \frac{e^{-2.8}*(2.8)^{4}}{(4)!} = 0.1557

0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

6 0
3 years ago
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