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Charra [1.4K]
1 year ago
7

A square has a perimeter of 36x - 12. Which expression represents one side of the square?

Mathematics
1 answer:
valina [46]1 year ago
6 0

Answer:

9x - 3

Step-by-step explanation:

Hello!

A square has 4 sides.

We can factor out 4 from the expression to find the value of one side.

Factor:

  • 36x - 12
  • 4(9x) - 4(3)
  • 4(9x - 3)

This means that each side of the square is 9x - 3 units long.

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Write a conditional statement for a following Venn diagram
Amanda [17]

The image shows that all integers are rational numbers, but there are rational numbers that are not integers.

The formal statement would be

\mathbb{Z}\subset \mahtbb{Q}

6 0
2 years ago
Find the surface area of the prism.
LenKa [72]

Answer:

108

Step-by-step explanation:

triangles of the sides 3×4=12

5×8=40

4×8=32

3×8=24

add everything

6 0
3 years ago
A bookcase has two shelves. The top shelf has 10 more than 1/3 the number of books on the bottom shelf. There are 12 books on th
kobusy [5.1K]

Answer: b.14

Step-by-step explanation:

We have two shelves, the top shelf s_{t} and the bottom shelf s_{b}.

Now, firstly we are told the top shelf has 10 more than 1/3 the number of books on the bottom shelf. This can be expressed as:

s_{t}=10+\frac{1}{3}s_{b} (1)

Then, we are told there are 12 books on the bottom shelf:

s_{b}=12 (2)

Substituting (2) in (1):

s_{t}=10+\frac{1}{3}(12) (3)

s_{t}=10+\frac{12}{3} (4)

s_{t}=14 (5) This is the number of books on the top shelf

Hence, the correct option is b.

6 0
3 years ago
What is the probability of an integer from 1 to 60,000 not having the digit 6?
Vanyuwa [196]
Solving equations simple
4n + 3 =11
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3 years ago
The inspection division of the Lee County Weights and Measures Department is interested in estimating the actual amount of soft
cluponka [151]

Answer:

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 64 - 1 = 63

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 2.387

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.387\frac{0.06}{\sqrt{64}} = 0.02

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.99 - 0.02 = 2.97 liters

The upper end of the interval is the sample mean added to M. So it is 2.99 + 0.02 = 3.01 liters

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

7 0
2 years ago
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