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3 years ago

Define the opposite and the absolute value of 6.

Mathematics

2 answers:

zlopas [31]3 years ago

8 0

Answer:

the opposite of 6 is -6 and the absolute value of 6 is 6

lesya692 [45]3 years ago

3 0

answer:

the opposite of 6 is -6 and the absolute value of 6 is 6

explanation:

cause its 6 <3

You might be interested in

Sketch the graph y=−|x−1|+3 and answer the questions:<br> Does it open upward?<br> Yes or No?

Marina CMI [18]

Answer:

1) Please see the required graph created with Microsoft Excel

2) No

Step-by-step explanation:

The given parameters are;

$y= -\left | x - 1 \right | + 3$

From the given equation, we have;

When x > 4, or x -2 <, y < 0, which gives;

y > 0 for -2 < x < 4

Therefore, the graph is opened in the downward direction with the peak at the point with coordinate (1, 3)

The legs of the graphs are straight lines with slopes = -1, and 1 respectively, before and after the maximum point of the graph

The table of values used to sketch the graph with Microsoft Excel is given as follows;

x ${}$ y

-3 -1

-2 0

-1 1

0 2

1 3

2 2

3 1

4 0

5 -1

4 0

4 years ago

$13000 is compounded semiannually at a rate of 9% for 20 years

Dennis_Churaev [7]

Answer:

36400

Step-by-step explanation:

4 0

3 years ago

A simple random sample from a population with a normal distribution of 98 body temperatures has x =98.90 °F and s =0.68°F. Const

Ludmilka [50]

Answer:

$0.609 \leq \sigma \leq 0.772$

And the best conclusion would be:

D. This conclusion is safe because 1.40 °F is outside the confidence interval.

Step-by-step explanation:

1) Data given and notation

s=0.68 represent the sample standard deviation

$\bar x =98.90$ represent the sample mean

n=98 the sample size

Confidence=90% or 0.90

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 mean or variance 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.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=98-1=97$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical values.

The excel commands would be: "=CHISQ.INV(0.05,97)" "=CHISQ.INV(0.95,97)". so for this case the critical values are:

$\chi^2_{\alpha/2}=120.990$

$\chi^2_{1- \alpha/2}=75.282$

And replacing into the formula for the interval we got:

$\frac{(97)(0.68)^2}{120.990} \leq \sigma \leq \frac{(97)(0.68)^2}{75.282}$

$0.371 \leq \sigma^2 \leq 0.596$

Now we just take square root on both sides of the interval and we got:

$0.609 \leq \sigma \leq 0.772$

And the best conclusion would be:

D. This conclusion is safe because 1.40 °F is outside the confidence interval.

3 0

4 years ago

How to find missing terms in a arithmetic sequence if there is no middle term?

kozerog [31]

You would use the formula for the specific term you wish to find;
The formula is:
$U_{n} = a + (n - 1)d$
a = starting value of the sequence
d = the common difference (i.e. the difference between any two consecutive terms of the sequence)
n = the value corresponding to the position of the desired term in the sequence (i.e. 1 is the first term, 2 is the second, etc.)
Un = the actual vaue of the the term

For example, if we have the arithmetic sequence:
2, 6, 10, 14, ...
And let's say we want to find the 62nd term;
Then:
a = 2
d = 4
(i.e. 6 - 2 = 4, 10 - 6 = 4, 14 - 10 = 4;
You should always get the same number no matter which two terms you find the difference between so long as they are both consecutive [next to each other], otherwise you are not dealing with an arithmetic sequence)
n = 62

And so:
$U_{62} = (2) + (62 - 1)(4) \\
= 2 + 61(4) \\
= 2 + 244 \\
= 246$

5 0

3 years ago

If Rick walked for 20 minutes at 5 miles per hour, how far did he travel? Round to the nearest tenth and type the number into th

Aleks04 [339]

Answer:

1/4 miles per minute

15 miles per hour

Step-by-step explanation:

Rember the equation

time * speed = distance

T * S = D

now plug in the known values

time = 20 min

or you could also say that the time is 1/3 hour

distance = 5 miles

20min * S = 5miles

divide by 20

S = 5 / 20

S = 1/4 mile per minute

another way of doing this with different units is

1/3 hour * S = 5 miles

divide 1/3 (same as multiplying 3)

s = 15 miles per hour

7 0

4 years ago