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Solnce55 [7]
3 years ago
8

Please also explain how you did it! Thank you

Mathematics
1 answer:
Tasya [4]3 years ago
8 0

Answer:

66 degrees

Step-by-step explanation:

360 degrees in a circle

102 and 144 make up the circumference of LPN

LMN however is still to be determined... which is 360-(102+144) = 114

Therefore, LMN = 114 degrees. Using a thereom (I forget which one), the corresponding angle to LMN is LPN.

To find angle LPN (180-114) = 66

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Need the answer to number 8 pls
Rama09 [41]
We can split it up into

( \frac{x^4+2x^2}{x^2+2})+(  \frac{1}{x^2+2} )= (\frac{x^2(x^2+2)}{x^2+2})+(  \frac{1}{x^2+2} )x^2+\frac{1}{x^2+2}
I see you were supposed to use synthetic division

not sure what the 'related function is'
but as |x| approaches positivie infinity, y approaches positive infinity
as |x| approaches negative infinity, y approaches positive infinity

for the original function
as x approaches positivie infinity x^2+ \frac{1}{x^2+2} approaches positive infinity
as x approaches negative infinity x^2+ \frac{1}{x^2+2} approaches positive infinity
this is due to the x^2 term making it positive
6 0
4 years ago
To help consumers assess the risks they are​ taking, the Food and Drug Administration​ (FDA) publishes the amount of nicotine fo
Blizzard [7]

Answer:

t=\frac{26.8-29.9}{\frac{2.7}{\sqrt{9}}}=-3.44    

df=n-1=9-1=8  

p_v =P(t_{(8)}  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.

Step-by-step explanation:

Data given

\bar X=26.8 represent the sample mean

s=2.7 represent the sample standard deviation

n=9 sample size  

\mu_o =29.9 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean exceed 29.9 or no, the system of hypothesis would be:  

Null hypothesis:\mu \geq 29.9  

Alternative hypothesis:\mu < 29.9  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{26.8-29.9}{\frac{2.7}{\sqrt{9}}}=-3.44    

P-value

The degrees of freedom are given by:  

df=n-1=9-1=8  

Since is a one sided test the p value would be:  

p_v =P(t_{(8)}  

Conclusion  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.

6 0
4 years ago
2/5 divided by 3/4<br> 9/4 divided by 3/4<br> -5/7 divided by 1/3<br> -5/3 divided by 1/6
stealth61 [152]

2/5 ÷ 3/4 = 8/15

9/4 ÷ 3/4 = 3

-5/7 ÷ 1/3 = -15/7

-5/3 ÷ 1/6 = -10

5 0
3 years ago
A survey found that women’s heights are normally distributed with mean 63.8 in and a standard deviation 2.3 in. A branch of the
Paraphin [41]
Base on the questions, which is asking to many questions, ans the following would be the answers, 
A. the women that fall between 58 and 80 inches tall would have a probability of 99.416%, 
B. the new heights would 58,45 inches and 68,52 inches.

I hope you are satisfied with my answer and feel free to ask for more if you have questions and further clarifications 
5 0
3 years ago
Read 2 more answers
A line with a slope of -3/5 and passing through (-5,-1)
Vanyuwa [196]

Answer: y=-3/5x-4

Step-by-step explanation:

We can substitute this into point slope form, which is y-y1=m(x-x1).

y-(-1)=-3/5(x-(-5)

y+1=-3/5(x+5)

y+1=-3/5x-3

y=-3/5x-4

3 0
4 years ago
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