Pls help it's due today

Evaluate 7-5p+3q when p=1 and q=7

KIM [24]

Answer:

23

Step-by-step explanation:

Since it gives you the values of p and q, just plug it into the expression:

7 - 5p + 3q

7 - 5(1) + 3(7)

7 - 5 + 21

2 + 21

23

3 0

3 years ago

Read 2 more answers

Una compañía suministra electricidad. Cobra $100 mensuales fijos más 15 centavos por kilowatt hora. En los primeros 400 kilowatt

sweet [91]

Answer:

La función resultante es una función a trozos:

$C_{T}(x) = \left\{\begin{array}{cc}100+0.15\cdot x,\,0\le x \le 400\\112+0.12\cdot x,\,x> 400\\\end{array}$

Step-by-step explanation:

El coste total de la electricidad suministrada ( $C_{T}$ ), medida en pesos, es la suma del coste fijo ( $C_{F}$ ) y el coste variable ( $C_{V}$ ), medidas en pesos.

$C_{T} = C_{F}+C_{V}$ (1)

Ahora, tenemos que el coste fijo es $ 100 mensuales, así:

$C_{F} = \$ \,100$ (2)

Y el coste variable considera que se cobra 15 centavos por kilowatt-hora para los primeros 400 kilowatts-hora y 12 centavos por kilowatt-hora para cada kilowatt-hora que pase de 400 kilowatts-hora en el mes:

(i) Menos o igual que 400 kilowatts-hora:

$C_{V} = 0.15\cdot x$ (3)

Donde $x$ es la electricidad suministrada en kilowatts-hora.

(ii) Mayor que 400 kilowatts-hora:

$C_{V} = 0.15\cdot (400)+0.12\cdot (x-400)$

$C_{V} = 12+0.12\cdot x$

La función resultante es una función a trozos:

$C_{T}(x) = \left\{\begin{array}{cc}100+0.15\cdot x,\,0\le x \le 400\\112+0.12\cdot x,\,x> 400\\\end{array}$

3 0

3 years ago

Harlene tosses two number cubes. If a sum of 8 or 12 comes up, she gets 9 points. If not, she loses 2 points. What is the expect

lubasha [3.4K]

We want to get the expected value for the given experiment, we will see that it is equal to -1/6 points, so the correct option is "negative one-sixth"

For an experiment with events {x₁, x₂, ..., xₙ}, each one with probability {p₁, p₂, ..., pₙ}, the expected value is given by:

EV = x₁*p₁ + ... + xₙ*pₙ

Here we have two events:

x₁ = she gets 9 points.
x₂ = she loses 2 points.

Let's find the probabilities of each one of these.

She gets 9 points if the sum of the two dice is equal to 8 or 12.

Each dice has 6 outcomes.

Then a combination of two dice has a total of 6*6 = 36 outcomes.

The outcomes that add to 8 or 12 are:

dice 1 dice 2 sum

2 6 8

3 5 8

4 4 8

5 6 8

6 2 8

6 6 12

So 6 out of the 36 outcomes, then the probability of this event is:

p₁ = 6/36 = 1/6

And the other event is for all the other outcomes, so the probability is just:

p₂ = 5/6

Then the expected value is:

EV = (+ 9 points)*(1/6) + (-2 points)*(5/6) = -1/6 points.

So the correct option is negative one-sixth.

If you want to learn more about expected value, you can read:

brainly.com/question/22097128

8 0

2 years ago

Read 2 more answers

You are in charge of monitoring the pressure of a compressed air tank in a processing plant. After repeating the pressure measur

sashaice [31]

Answer:

4.46% probability that the pressure will exceed this value.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Gaussian distribution with a mean value of 69 psi and a standard deviation of 10 psi.

Gaussian distribution = normal.

This means that $\mu = 69, \sigma = 10$

If it is important that the pressure stays below 86 psi, what is the probability (in percent) that the pressure will exceed this value?

As a proportion, this probability is 1 subtracted by the pvalue of Z when X = 86. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{86 - 69}{10}$

$Z = 1.7$

$Z = 1.7$ has a pvalue of 0.9554

1 - 0.9554 = 0.0446

0.0446*100 = 4.46%

4.46% probability that the pressure will exceed this value.

8 0

3 years ago

Do the concepts of class limits, marks, cutpoints, and midpoints make sense for qualitative data? Explain your answer.

tatyana61 [14]

Class limits are the smallest and the largest data value that can go into a class.

Class marks are the midpoints of the classes. They are obtained by averaging the limits.

Cutpoints are specified values used to sort continuous variables into discrete categories.

Class Midpoint is the middle value of each data class.

For qualitative data, cutpoints and midpoints make sense, but class limits and marks do not, since qualitative data cannot be grouped using Limit grouping.

option D.

3 0

3 years ago

Pls help it's due today​

Pls help it's due today