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-BARSIC- [3]
2 years ago
14

On a number​ line, between which two consecutive whole numbers would square root 12 be​ located

Mathematics
2 answers:
emmasim [6.3K]2 years ago
7 0

Answer:

3 and 4

Step-by-step explanation:

Butoxors [25]2 years ago
5 0

Answer:

3 and 4.

Step-by-step explanation:

3^2 = 9

4^2 = 16

So the square root of 12 will lie between 3 and 4 on the number line.

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supervisor records the repair cost for 25 randomly selected dryers. A sample mean of $93.36 and standard deviation of $19.95 are
Simora [160]
<h2><u>Answer with explanation:</u></h2>

The confidence interval for population mean (when population standard deviation is unknown) is given by :-

\overline{x}-t^*\dfrac{s}{\sqrt{n}}< \mu

, where n= sample size

\overline{x} = Sample mean

s= sample size

t* = Critical value.

Given : n= 25

Degree of freedom : df=n-1=24

\overline{x}= \$93.36

s=\ $19.95

Significance level for 98% confidence interval : \alpha=1-0.98=0.02

Using t-distribution table ,

Two-tailed critical value for 98% confidence interval :

t^*=t_{\alpha/2,\ df}=t_{0.01,\ 24}=2.4922

⇒ The critical value that should be used in constructing the confidence interval = 2.4922

Then, the 95% confidence interval would be :-

93.36-(2.4922)\dfrac{19.95}{\sqrt{25}}< \mu

=93.36-9.943878< \mu

=93.36-9.943878< \mu

=83.416122< \mu

Hence, the 98% confidence interval for the mean repair cost for the dryers. = 83.4161

4 0
3 years ago
Graph the line that has a slope of 6 and includes the point (0,4).
faust18 [17]

Answer:

The equation of the line with slope 6 and containing the point (0, 4) will be:

y = 6x+4

The graph of the line y = 6x+4 is attached below.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given

  • The slope m = 6
  • The point (0, 4)

The y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

The point (0, 4) indicates that:

at x = 0, y = 4

Thus, the y-intercept b = 4

now substituting b = 4 and m = 6 in the slope-intercept form of the line equation

y = mx+b

y = 6x+4

Thus, the equation of the line with slope 6 and containing the point (0, 4) will be:

y = 6x+4

The graph of the line y = 6x+4 is attached below.

3 0
3 years ago
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