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3 years ago

When do we use parentheses in negative numbers?

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

7 0

Answer:

ok here are the rules for negitive numbers

positive+positive=positive

postive+negitive=negitive(or negitive+postive=negitive)

negitive+negitive=negitive

i thing you are slightly confused so i'll do some examples of problems with negitive number

5+-5=5-5=0

-5+5=5-5=0

Hope This Helps!!!

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From 19 measurements of a pressure controller, the mean operating pressure is 4.97 kPa with a standard deviation of 0.0461 kPa.

Semenov [28]

Answer:

$4.97-2.10\frac{0.0461}{\sqrt{19}}=4.95$

$4.97+2.10\frac{0.0461}{\sqrt{19}}=4.99$

So on this case the 95% confidence interval would be given by (4.95;4.99)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X =4.97$ represent the sample mean

$\mu$ population mean (variable of interest)

s=0.0461 represent the sample standard deviation

n=19 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=19-1=18$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,18)".And we see that $t_{\alpha/2}=2.10$

Now we have everything in order to replace into formula (1):

$4.97-2.10\frac{0.0461}{\sqrt{19}}=4.95$

$4.97+2.10\frac{0.0461}{\sqrt{19}}=4.99$

So on this case the 95% confidence interval would be given by (4.95;4.99)

5 0

3 years ago

One canned juice is 15% orange juice another 10% orange juice. How many liters of each should be mixed together in order to get

Delicious77 [7]

<span>Equation:
0.15x + 0.10(5-x) = 0.11*5
---
Multiply thru by 100:
15x + 10*5 - 10x = 11*5

---
5x = 5
x = 1 liter (amt. 15% oj needed)
----
5-x = 4 liters (amt of 10% oj needed)
======</span>

3 0

3 years ago

Find the circumference of a circle with diameter, d = 9.06m. Give your answer rounded to 2 DP

Olin [163]

C= 3.14d
C= 3.14 x 9.06
C= 28.45

5 0

2 years ago

Can You Guys Please Help???

Bezzdna [24]

Answer:

Step-by-step explanation:

The answer is c.

Proportional means a relationship of y = a constant multiplied by x

In this case, the constant is 7.

i.e. y = 7x

So if

x is 3, y is 21

x is 5, y is 35

x is 7, y is 49

and so on...

And there you have it.

8 0

3 years ago

What is the slope of the line that passes through the points (8,2) and (10,2)? Write your answer in the simplest form.

Oxana [17]

slope of line=(y2-y1)/(x2-x1)

give is

(x1,y1)=(8,2)

(x2,y2)=(10,2)

therefore slope =(2-2)/(10-8)=0/2=0

Hence

answer

Slope of line=0

3 0

2 years ago