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lana [24]
3 years ago
14

Given the system of constraints, name all vertices of the feasible region. Then find the maximum value of the given object funct

ion.

Mathematics
1 answer:
Dmitrij [34]3 years ago
3 0
Refer to the figure shown below.

The feasible region that satisfies all the constraints is the shaded region.
The bounding vertices are
A (0, 3)
B (0, 0)
C (5, 0)
D (1.5, 3.5)

All the functions that define the constraints are either linear or constant.
The maximum value is at vertex D, and equal to 3.5.

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According to the U.S. Department of Education. Institute of Education Sciences, National Center for Education Statistics 1,026,0
Andreyy89

Answer:

The correct option is C) 21.1 and 0.68  

Step-by-step explanation:

Consider the provided information.

The mean composite score was 21.1 with a standard deviation of 4.8. The ACT composite score ranges from 1 to 36, with higher scores indicating greater achievement in high school.

Therefore μ = 21.1 and σ = 4.8

It is given that the sample of 50 students;

Thus, sample size ( n ) = 50

According to the central limit theorem,

\mu_{\bar x}=\mu\ and \ \sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

Therefore

\mu_{\bar x}=21.1

\sigma_{\bar x}=\frac{4.8}{\sqrt{50}}

\sigma_{\bar x}=0.68

Hence, the correct option is C) 21.1 and 0.68

7 0
3 years ago
What is the product?
xxMikexx [17]

Answer:

{ \tt{(5r - 4)( {r}^{2} - 6r + 4) }} \\  = {  \tt{( {5r}^{3}  -  {30r}^{2}  + 20r - 4 {r}^{2} + 24r - 16) }} \\  = { \tt{ {5r}^{3} - 34 {r}^{2}  + 44r - 16 }}

7 0
3 years ago
Read 2 more answers
The measure of one of the angles formed by two parallel lines and a transversal is 45°. Is it possible for the measure of any of
liubo4ka [24]

Answer: No


Step-by-step explanation:

Three of the other angles are 45°. The other four are 180° - 45°, which is not 55°. At the intersection of two lines, opposite angles are equal and adjacent angles are complementary, so two adjacent angles add to 180°. Adding a parallel line gives four more angles identical to the first four.

4 0
3 years ago
Anita buys a computer for $391 in a sale. The sale price is 15% less than the original price. Calculate the original price of th
iVinArrow [24]

Answer:

449.65

Step-by-step explanation:

391x.15=58.65

$58.65+$391= 449.65

5 0
2 years ago
The length of a rectangle exceeds the breadth by 8 cm. Find the area of the rectangle, if its perimeter is 180 cm
sergiy2304 [10]

Answer:

2009cm^2

Step-by-step explanation:

Given data

let the length be L

and the width be w

so

w= x

L=x+8

P= 180cm

P= 2L+2W

180= 2(x+8)+2(x)

180= 2x+16+2x

collect like terms

180= 4x+16

180-16= 4x

164= 4x

x= 164/4

x=41

W= 41cm

L= 41+8

L= 49cm

A= L*W

A=49*41

A=2009cm^2

Hence the area is 2009cm^2

3 0
2 years ago
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