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Arlecino [84]
3 years ago
5

Question 8 of 10

Mathematics
1 answer:
AleksandrR [38]3 years ago
4 0
B. A worker with 40 hours of training is paid $1700 per month.
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What is the total area of the regions between the curves y = 6x2 − 18x and y = −6x from x = 1 to x=3?.
kvasek [131]

Using integration, it is found that the area between the two curves is of 22 square units.

<h3>What is the area between two curves?</h3>

The area between two curves y = f(x) and y = g(x), in the interval from x = a to x = b, is given by:

A = \int_{x = a}^{x = b} |f(x) - g(x)| dx

In this problem, we have that:

f(x) = 6x^2 - 18x, g(x) = -6x, a = 1, b = 3.

Hence, the area is:

A = \int_{1}^3 |6x^2 - 12x| dx

A = |x^3 - 6x^2|_{x = 1}^{x = 3}

Applying the Fundamental Theorem of Calculus:

A = |3^3 - 54 - 1^3 + 6|

A = 22

The area between the two curves is of 22 square units.

More can be learned about the use of integration to find the area between the two curves at brainly.com/question/20733870

8 0
3 years ago
Các mô hình h i quy sau đây có ph i mô hình tuy n tính hay không? N u là môồảếếhình h i quy phi tuy n, hãy đ i v mô hình h i quy
valina [46]
Yes! This work is all correct.
4 0
3 years ago
4. The data set DDT (MASS) contains independent measurements of the pesticide DDT on kale. Make a histogram and a boxplot of the
padilas [110]

Answer:

Step-by-step explanation:

Rcode:

library(MASS)

data(DDT,package="MASS")

head(DDT)

colnames(DDT)

print(DDT)

boxplot(DDT)

hist(DDT,main="Histogram for DDT")

fivenum(DDT)

dim(DDT)

outlier_values <- boxplot.stats(DDT)$out # outlier values.

boxplot(DDT, main="DDT", boxwex=0.1)

mtext(paste("Outliers: ", paste(outlier_values, collapse=", ")), cex=0.6)

mean(DDT)

sd(DDT)

Output: * see attachment below*

From Histogram the mean is at the peak

it lies in between 3and 3.5

Form Boxplot we found one outlier and it is 4.64

Fivenum summary is

2.790 3.075 3.220 3.360 4.640

min=2.790

Q1=3.075

Q2=3.220

Q3=3.360

max=4.640

From boxplot the center line is median which cuts the box into 2 equal halves

Distribution is symmetrical

Follows normal distribution.

Mean=3.328

Standard deviation=0.4371531

8 0
3 years ago
PLZ IM ON THE CLOCK!!!!! A sports memorabilia store makes $6 profit on each football it sells and $5.50 profit on each baseball
maksim [4K]

Answer:

460

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
Brandon works at a nearby electronics store. He makes a commission of 6% on everything he sells. If he sells laptop for $309 how
Westkost [7]

Answer:

A. $18.54

Step-by-step explanation:

laptop cost x commission = money made

309 x 0.06 = 18.54

7 0
3 years ago
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