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3 years ago

A computer store buys a computer system at a cost of $487.20. The selling price was first at $812, but

Mathematics

1 answer:

Murljashka [212]3 years ago

8 0

Answer: a. The sales price $568.40

b.the price for the club members is $511.56

Step-by-step explanation: I have no idea I got it wrong on porpoise to get the correct answer for u

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Which is the equation of the porabola with focus of (0,5) and directrix x= -5?

Dimas [21]

the answer is D) x^2 = 20y

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3 years ago

The cost of a ticket to an amusement park is $42 per person. For groups of up to 8 people, the cost per ticket decreases by $3 f

MrRissso [65]

Answer:

Cost of each ticket per person = $42

For groups of up to 8 people, the cost per ticket decreases by $3 for each person in the group.

Marco's ticket cost $30.

This means he paid 42-30=12 dollars less.

Now when there are 8 members, the cost decreases by $3.

So, $12 will decrease, when there will be members

I hope this helps! Have an awesome day!

5 0

3 years ago

Read 2 more answers

Application of the least squares method results in values of the y-intercept and the slope that minimizes the sum of the squared

vaieri [72.5K]

Answer:

c. observed values of the independent variable and the predicted values of the independent variable

Step-by-step explanation:

This helps us, for example, find the values of y in a y = f(x) equation. y is dependent of x. So x is the independent variable and y the dependent. Obviously, this system is used for way more complex equations, in which is hard to find an actual pattern for y, so we use this method to compare the predicted values of y to the observed.

The correct answer is:

c. observed values of the independent variable and the predicted values of the independent variable

5 0

3 years ago

Matthew is five feet tall. He is standing next to a flagpole on a sunny day. Matthew's shadow is three feet long. At the same ti

natita [175]

Answer: The pole is 17 feet long

Step-by-step explanation: If Matthew's shadow is 2 feet smaller than his actually size, the shadow of the pole will also be reduced. Since the pole's shadow is 15 feet long, adding 2 will give you its original size, 17 feet.

7 0

4 years ago

Ice cream usually comes in 1.5-quart boxes (48 fluid ounces), and ice cream scoops hold about 2 ounces. However, there is some v

Troyanec [42]

Answer:

(a) The expected value and standard deviation of the amount of ice cream served at the party are 54 ounces and 1.25 ounces respectively.

(b) The expected value and standard deviation of the amount of ice cream left in the box after scooping out one scoop are 46 ounces and 1.031 ounces respectively.

Step-by-step explanation:

The random variable X and Y are defined as follows:

X = amount of ice cream in the box

Y = amount of ice cream scooped out

The information provided is:

E (X) = 48

SD (X) = 1

V (X) = 1

E (Y) = 2

SD (Y) = 0.25

V (Y) = 0.0625

(a)

The total amount of ice-cream served at the party can be expressed as:

X + 3Y.

Compute the expected value of (X + 3Y) as follows:

$E(X+3Y)=E(X)+3E(Y)\\= 48+(3\times2)\\=48+6\\=54$

Compute the variance of (X + 3Y) as follows:

$V(X+3Y) = V (X)+3^{2}V(Y)+2\times 3Cov (X,Y)\\=1+(9\times0.0625)+0\\=1.5625$

Then the standard deviation of (X + 3Y) is:

$SD(X + 3Y) =\sqrt{V(X + 3Y)}\\\sqrt{1.5625}\\=1.25$

Thus, the expected value and standard deviation of the amount of ice cream served at the party are 54 ounces and 1.25 ounces respectively.

(b)

The amount of ice-cream left in the box after scooping out one scoop is represented as follows:

X - Y.

Compute the expected value of (X - Y) as follows:

$E(X-Y)=E(X)-E(Y)\\=48-2\\=46$

Compute the variance of (X - Y) as follows:

$V(X - Y) =V(X)+V(Y)-2Cov(X,Y)\\=1+0.0625-0\\=1.0625$

Then the standard deviation of (X - Y) is:

$SD(X-Y) =\sqrt{V(X -Y)}\\\sqrt{1.0625}\\=1.031$

Thus, the expected value and standard deviation of the amount of ice cream left in the box after scooping out one scoop are 46 ounces and 1.031 ounces respectively.

(c)

The variance of the sum or difference of two variables is computed by adding the individual variances. This is because the variance of each variable is dependent on the others.

7 0

3 years ago