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andrew-mc [135]
3 years ago
15

1. PART A: Determine the missing lengths:

Mathematics
2 answers:
Otrada [13]3 years ago
3 0

#1

Divide into two rectangles

\\ \tt\hookrightarrow "1"=14-12=2

\\ \tt\hookrightarrow "2"=3+1=4

#2

\\ \tt\hookrightarrow P=14+1+12+3+2+4=36

#3

\\ \tt\hookrightarrow A=14(1)+3(2)=14+6=20units^2

lozanna [386]3 years ago
3 0

Answer:

1 = 2 units

2 = 4 units

P = 36 units

A = 20 units²

Step-by-step explanation:

1. PART A:

Missing length 1 = 14 - 12 = 2 units

Missing length 2 = 1 + 3 = 4 units

<u>PART B</u>

The perimeter is the distance all the way around the outside of a 2D shape. To work out the perimeter, add up the lengths of all the sides

Perimeter = 1 + 12 + 3 + 2 + 4 + 14 = 36 units

<u>PART C</u>

Area of a rectangle = width x height

Separate the shape into 2 rectangles (so draw a line down from the internal corner of the L shape).

Total area = 1 x 14 + 2 x 3 = 14 + 6 = 20 units²

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A production supervisor at a major chemical company wishes to determine whether a new catalyst, catalyst XA-100, increases the m
zheka24 [161]

Answer:

a. n= 47

b. n= 128

Step-by-step explanation:

Hello!

The objective of this experiment is to test if the new catalyst, XA-100, increases the mean hourly yield of a chemical process, that is known to be μ=750 (pounds per hour) with the current process.

You need to calculate the sample size to estimate the population with determined error margins.

To do so, since you have no population information, only that it is approximately normal distributed, you'll use the Student t statistic to get the sample size.

The formula of the margin of error (d) is:

d= t_{n-1: 1-\alpha/2} * (\frac{S}{\sqrt{n} })

I've  cleared the sample size of the formula

n= (S*\frac{t_{n-1; 1-\alpha /2} }{d} )^{2}

You need a sample size for the t-Student value and a standard deviation, that's why the information of a pilot study with n=5 and S= 19.62 is given.

a)

95% CI

d= 8 pounds

t_{n-1; 1-\alpha/2 } = t_{5-1;1-0.025}  = t_{4;0.975} =2.776

n= (19.62*\frac{2.776 }{8} )^{2}

n= 46.35 ≅ 47

b)

99% CI

d= 5 pounds

t_{n-1; 1-\alpha/2 } = t_{5-1;1-0.005}  = t_{4;0.995} =4.604

n= (19.62*\frac{4.604}{8} )^{2}

n= 127.49 ≅ 128

I hope it helps!

4 0
3 years ago
A rectangle has a width of 9 km and a length of 6 km. How does the area change when each dimension is multiplied by 3?
Gnom [1K]

For this case we have that by definition the area of a rectangle is given by:

A = wl

Where

  • <em>w: width of the rectangle </em>
  • <em>l: length of the rectangle </em>

The area of the original rectangle is given by:

A1 = (9) (6)\\A1 = 54

The area of the new rectangle is given by:

A2 = (3 * 9) (3 * 6)\\A2 = 9 * (9) (6)\\A2 = 9 * 54\\A2 = 9 * A1

Therefore, the original area increases with a factor of 9.

Anwer:

the original area increases by a factor of 9.

A2 = 9 * A1

5 0
3 years ago
Read 2 more answers
) What would the value of c be when
jasenka [17]

The value of c is 233.3

Step-by-step explanation:

Given equation is:

\frac{18}{20}c-250=-40

To find the value of c, we have to isolate c on one side of the equation

So,

Adding 250 on both sides

\frac{18}{20}c-250+250=-40+250\\\frac{18}{20}c=210

Multiplying by 20 on both sides

20*\frac{18}{20}c=210*20\\18c=4200

Dividing both sides by 18

\frac{18c}{18}=\frac{4200}{18}\\c=233.3333

Rounding off to the nearest one decimal place

c=233.3

The value of c is 233.3

Keywords: Linear Equation, Solution of linear equation

Learn more about linear equations at:

  • brainly.com/question/3799248
  • brainly.com/question/3950386

#LearnwithBrainly

3 0
3 years ago
Sally bought 30 pounds of apples for $10. Use the ratio table to find the cost of buying 6 pounds of apples.
e-lub [12.9K]

Answer:

6 : 2

Step-by-step explanation:

30 : 10

( 30 divided by 5 equals 6)

( 10 divided by 5 equals 2)

ratio is:

6 : 2

pls mark brainlest ;)

Hopefully this helps you :)

8 0
3 years ago
When you move on the decimal point two places to the left to convert a metric until, it is the same as ______ the measurement by
eimsori [14]
It is the same as ______ the measurement by 100.

dividing
4 0
4 years ago
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