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wolverine [178]
2 years ago
10

Use the table to write an equation that relates the cost of lunch Y and the number of students X

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
6 0

In order to determine what is the equation which describes the values of the table, consider that the general form of the equation is:

y = mx

where m is the constant of proportionality between both variables x and y.

To calculate m you calculate the quotient between any pair of data from the table.

If you for example use the following values:

Students = 8.00

Lunch cost = 2

the constant of proportionality is:

m = 8.00/2 = 4.00

Next, you replace the value of m in the equation y=mx:

y = $4.00x

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Suppose that a stock is currently selling for $100. The change in the stock's price during the next year follows a normal random
Basile [38]

Answer:

The probability that the stock will sell for $85 or less in a year's time is 0.10.

Step-by-step explanation:

Let <em>X</em> = stock's price during the next year.

The random variable <em>X</em> follows a normal distribution with mean, <em>μ</em> = $100 + $10 = $110 and standard deviation, <em>σ</em> = $20.

To compute the probability of a normally distributed random variable we first need to compute the <em>z</em>-score for the given value of the random variable.

The formula to compute the <em>z</em>-score is:

z=\frac{X-\mu}{\sigma}

Compute the probability that the stock will sell for $85 or less in a year's time as follows:

Apply continuity correction:

P (X ≤ 85) = P (X < 85 - 0.50)

                = P (X < 84.50)

                =P(\frac{X-mu}{\sigma}

                =P(Z

*Use a <em>z</em>-table for the probability.

Thus, the probability that the stock will sell for $85 or less in a year's time is 0.10.

6 0
3 years ago
Can anyone please help me out with this?
nika2105 [10]
It works well to write the given angles on the diagram, then make use of the relationships for right angles and triangles.

8 0
3 years ago
Which expression is equivalent to 5p2+ 3p2 - 6p?
melomori [17]

Answer:

is c or d i think

5 0
3 years ago
Help please Thanks - Celgio111
slega [8]
Whatever decimals you choose, b HAS to be greater than a. It can't be the other way around where a is greater. So a possible answer could be, b=0.9 and a=0.3 
7 0
3 years ago
a father is 25 years older than his son.Five years ago he was 6 time old as his son was find their presents
IceJOKER [234]

Answer:

the present age of the father be x and the present age of the son be y.

It is given that man is 24 years older than his son that is:

x=y+24

x−y=24..........(1)

Also, 12 years ago, he was five times as old as his son that is:

(x−12)=5(y−12)

x−12=5y−60

x−5y=−60+12

x−5y=−48..........(2)

Now subtract equation 1 from equation 2 to eliminate x, because the coefficients of x are same. So, we get

(x−x)+(−5y+y)=−24−48

i.e. −4y=−72

i.e. y=18

Substituting this value of y in (1), we get

x−18=24

i.e. x=24+18=42

Hence, the present age of the father is 42 years and the present age of the son is 18 years.

Step-by-step explanation:

5 0
3 years ago
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