What is the data set

Mathematics

1 answer:

Natalija [7]4 years ago

5 0

A data set is a set of number is a data

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20<br> 1. Find the sum of the series > 4n - 1. Show your work.<br> n=1<br> Answer:

bixtya [17]

Answer:

I guess answer is 3 as n value is 1 so we can substitute 1 in n value so that we can get answer as 3

7 0

3 years ago

Find two positive numbers such that the sum of the first and twice the second is 56 and whose product is a maximum

Svetlanka [38]

Let
x-------> the first number
y-------> the second number
P-----> product

we know that
x+2y=56----------> 2y=56-x-----> y=28-0.5x------> equation 1
P=x*y----> equation 2

substitute equation 1 in equation 2
P=x*[28-0.5x]-----> P=28x-0.5x²

using a graph tool
see the attached figure
the vertex is the point (28,392)
that means
for x=28
the product is 392 (maximum)
find the value of y
y=28-0.5x----> y=28-0.5*28----> y=14

the answer is
the numbers are 28 and 14

5 0

4 years ago

A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Mater

Gala2k [10]

L = 2 W
B = L x W = 2 W²
Side Area = 2 W H + 2 L H = 2 H ( W + L ) = 6 H W
V = 2 W² H = 10
H = 5 / W²
Cost = 15 * 2 W² + 9 * 5/W
= 30 W² + 270/ W
C ` = 60 W - 270 / W²
= ( 60 W² - 270 ) / W² = 0
60 W² = 270
W ² = 270 : 60
W² = 4.5
W = √ 4.5 = 2.12
Cost (min) = 15 * 2 * 4.5 + 30 / 2.12 = 135 + 14.15 = $149.15
Answer: The cost of materials for the cheapest such container is $149.15.

8 0

3 years ago

X+3Y=6 turned into slope-intercept form

GarryVolchara [31]

Y=-1/3x+2

Use photomath app

3 0

3 years ago

The question is in the picture:

rosijanka [135]

Answer:

b) The measure of angle B is 117°.

Step-by-step explanation:

Angles A and C are vertical angles, so are congruent. Angles C and 27° total 90°, so ...

∠C = 90° -27° = 63° . . . . . not 53°

The measure of angle B is the supplement of angle A or C, so is ...

∠B = 180° -∠C = 180° -63°

∠B = 117°

Only choice B is correct.

8 0

4 years ago