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antiseptic1488 [7]
3 years ago
7

Find two consecutive whole numbers that the square root of 105 lies between

Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0

Answer: 10 and 11, also -11 and -10

Sqrt 100 is well known to be 10

Sqrt 121 is 11

Step-by-step explanation:

Positive Sqrt is monotone increasing

So Sqrt 105 is between sqrt 100 and sqrt 121


Second answer

Sqrt 100 is less well known to also be -10

Negative sqrt is monotone decreasing

Sqrt 121 is also -11

Sqrt 105 is also between -121 and -100

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How many whole numders have the sum of 40
cluponka [151]

Answer:

We start with 0 + 40.

1. 0 + 40

2. 1 + 39

3. 2 + 38

4. 3 + 37

.....

keep going....

.....

19. 18 + 22

20. 19 + 21

21. 20 + 20

There are 21 pairs of whole numbers that have a sum of 40.

Step-by-step explanation:

hope this helps :)

6 0
3 years ago
What is the equation of the following line written in slope-intercept form?
nasty-shy [4]
SOLUTION:

To begin with, let's establish that the formula of this line is in slope-intercept form as follows:

y = mx

The formula for this line isn't:

y = mx + b

This is as this line doesn't have a y-intercept ( b ) as it passes through the origin instead. This means that ( b ) would be rendered useless in this formula as it would just bring us back to the y = mx formula as displayed below:

y = mx + b
y = mx + 0
y = mx

Moving on, for ( m ), we need to find the gradient of the line as displayed below:

m = gradient
m = rise / run
m = 10 / 2
m = 5

Now, we must simply substitue ( m ) into the formula in order to obtain the equation for this line as displayed below:

y = mx
y = 5x

Therefore, the answer is:

A. y = 5x
6 0
3 years ago
824 =20+?+4 how do you work this out
Y_Kistochka [10]
The answer is 800
20+4=24 
824-24=800
800+20+4=824
7 0
4 years ago
Read 2 more answers
Which best describes the function on the graph?
Rainbow [258]
The answer is going to be B
4 0
4 years ago
Read 2 more answers
A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with σ = 31.62
AysviL [449]

Answer:

A sample size of at least 737 specimens is required.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the width M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

M = 3, \sigma = 31.62

So:

M = z*\frac{\sigma}{\sqrt{n}}

3 = 2.575*\frac{31.62}{\sqrt{n}}

3\sqrt{n} = 81.4215

\sqrt{n} = 27.1405

n = 736.60

A sample size of at least 737 specimens is required.

6 0
4 years ago
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