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kiruha [24]
3 years ago
7

Find the area of the triangle below. Show as much work as possible. Label your answer appropriately.​

Mathematics
1 answer:
Ulleksa [173]3 years ago
8 0
Where is the triangles ???


step by step
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The manager of Petco, a nationwide chain of pet supply stores, wants to study characteristics of the customers, particularly the
shutvik [7]

Answer:

The 95% confidence interval would be given by (19.141;23.538)  

Step-by-step explanation:

1) 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=21.34 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=9.22 represent the sample standard deviation

n=70 represent the sample size  

2) 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=70-1=69

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(0.025,69)".And we see that t_{\alpha/2}=1.994

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

21.74-1.994\frac{9.22}{\sqrt{70}}=19.141    

21.74+1.994\frac{9.22}{\sqrt{70}}=23.538

So on this case the 95% confidence interval would be given by (19.141;23.538)    

3 0
3 years ago
A textile manufacturer wants to set up a control chart for irregularities (eg. oil stains, shop soil, loose threads, and tears)
Nookie1986 [14]

Answer:

UCLc = 25.7715519

LCLc =-4.171551971

find attached the C-chart(control chart)

Step-by-step explanation:

Sample Irregularities Sample Irregularity Sample Irregularity

1 18 6 11 11 10

2 14 7 4 12 16

3 6 8 10 13 5

4 14 9 12 14 15

5 8 10 9 15 17

Samples/Irre Cont'd

16 - 4

17 - 15

18 - 9

19 - 15

20 - 17

Using these? data, set up a? c-chart with z =33.

UCLc =

LCLc =

     Sample irreg     mean(CL) UCL LCL

              ularities

1 18 10.8 25.77155197 -4.171551971

2 14 10.8 25.77155197 -4.171551971

3 6 10.8 25.77155197 -4.171551971

4 14 10.8 25.77155197 -4.171551971

5 8 10.8 25.77155197 -4.171551971

6 11 10.8 25.77155197 -4.171551971

7 4 10.8 25.77155197 -4.171551971

8 10 10.8 25.77155197 -4.171551971

9 12 10.8 25.77155197 -4.171551971

10 9 10.8 25.77155197 -4.171551971

11 11 10.8 25.77155197 -4.171551971

12 16 10.8 25.77155197 -4.171551971

13 5 10.8 25.77155197 -4.171551971

14 1 10.8 25.77155197 -4.171551971

15 17 10.8 25.77155197 -4.171551971

16 4 10.8 25.77155197 -4.171551971

17 15 10.8 25.77155197 -4.171551971

18 9 10.8 25.77155197 -4.171551971

19 15 10.8 25.77155197 -4.171551971

20 17 10.8 25.77155197 -4.171551971

find attached the C-chart

Download xlsx
5 0
3 years ago
Peirce swims 10 laps in a pool in 8 minutes how much time does it take him to swim 1 lap
Jobisdone [24]

10 laps in 8 minutes

--------------------------------

              10

1 lap in 8/10 (4/5) of a minute

Answer is B, 8/10 minute!

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

7 0
3 years ago
Find the values of &lt; and y.<br> (8x + 7)<br> 5yº<br> (7y -- 34)<br> = (2x - 4)^
Lilit [14]

Answer:

x = 11

y = 17

Step-by-step explanation:

We know that opposite angles (or vertical angles) are equal.

So

8x + 7 = 9x - 4

Subtract 8x from both sides of the equation

8x - 8x + 7 = 9x - 8x - 4

7 = x - 4

Add 4 to both sides of the equation

7 + 4 = x - 4 + 4

11 = x

Looking at the other 2 angles,

5y = 7y - 34

Subtract 7 y from both sides of the equation

5y - 7y = 7y - 7y - 34

-2y = -34

Divide both sides by -2

-2y/-2 = -34/-2

y = 17

6 0
3 years ago
Read 2 more answers
Integration of (cosec^2 x-2005)÷cos^2005 x dx is
kondor19780726 [428]
We are asked in the problem to evaluate the integral of <span>(cosec^2 x-2005)÷cos^2005 x dx. The function is an example of a complex function with a degree that is greater than one and that uses special rules to integrate the function via the trigonometric functions. For example, we integrate 
2005/cos^2005x dx which is equal to 2005 sec^2005 x since sec is the inverse of cos. The integral of this function when n >3 is equal to I=</span><span>∫<span>sec(n−2)</span>xdx+∫tanx<span>sec(n−3)</span>x(secxtanx)dx
Then, 
</span><span>∫tanx<span>sec(<span>n−3)</span></span>x(secxtanx)dx=<span><span>tanx<span>sec(<span>n−2)</span></span>x/(</span><span>n−2)</span></span>−<span>1/(<span>n−2)I
we can then integrate the function by substituting n by 3.

On the first term csc^2 2005x / cos^2005 x we can use the trigonometric identity csc^2 x = 1 + cot^2 x to simplify the terms</span></span></span>
7 0
3 years ago
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