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spin [16.1K]
3 years ago
13

If the measure of ∠DAB=46∘ and ∠CAB=22∘ , then

Mathematics
1 answer:
Alex Ar [27]3 years ago
7 0
The other angle is 112
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A package delivery service divides their packages into weight classes. suppose that packages in the 14 to 20 pound class are uni
nexus9112 [7]

Answer: yy - \alpha \alpha = Percentile (\beta \beta -\alpha \alpha )

yy = 0.40 (20 - 14) + 14[tex] yy = 2.4 + 14

yy = 16.4

Thus, 16.4 pound class belongs to the 40th percentile of the weight class.

6 0
3 years ago
How do i find the following f(x)?? Pls help
Neporo4naja [7]

Answer:

  (a) (f+g)(x) = √(2x) +x²

  (b) (f-g)(x) = √(2x) -x²

  (c) (f·g)(x) = x²√(2x)

  (d) (f/g)(x) = (√(2x))/x²

Step-by-step explanation:

These are all about the meaning of the notation (f <operator> g)(x). When the operator is an arithmetic operation (addition, subtraction, multiplication, division), the notation means the same thing as ...

  f(x) <operator> g(x)

__

(a) (f+g)(x) = f(x) + g(x)

  (f+g)(x) = √(2x) +x²

__

(b) (f-g)(x) = f(x) -g(x)

  (f-g)(x) = √(2x) -x²

__

(c) (f·g)(x) = f(x)·g(x)

  (f·g)(x) = x²√(2x)

__

(d) (f/g)(x) = f(x)/g(x)

  (f/g)(x) = (√(2x))/x²

3 0
3 years ago
Question 5. We have 5-year statistics of average amount of wheat crop (tons) harvested from 1 km2 per year, the results are as f
tino4ka555 [31]

Answer:

a) t=\frac{524.6-550}{\frac{27.682}{\sqrt{5}}}=-2.052    

p_v =P(t_{(4)}    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.  

We can say that at 5% of significance the true mean is not significantly different from 550.

b) The 95% confidence interval would be given (490.184;559.016).  

We are confident at 95% that the true mean is between (490.184;559.016).

Step-by-step explanation:

Part a

Data given and notation  

560, 525, 496, 543, 499

The mean and sample deviation can be calculated from the following formulas:

\bar X =\frac{\sum_{i=1}^n x_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)}{n-1}}

\bar X=524.6 represent the sample mean  

s=27.682 represent the sample standard deviation  

n=5 sample size  

\mu_o =550 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)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the population mean is equal to 550, the system of hypothesis are:

Null hypothesis:\mu = 550  

Alternative hypothesis:\mu \neq 550  

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

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

t test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

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

t=\frac{524.6-550}{\frac{27.682}{\sqrt{5}}}=-2.052  

P-value  

We need to calculate the degrees of freedom first given by:  

df=n-1=5-1=4  

Since is a one-side left tailed test the p value would given by:  

p_v =P(t_{(4)}  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.  

We can say that at 5% of significance the true mean is not significantly different from 550.

Part b

The confidence interval for a proportion is given by this formula  

\bar X \pm t_{\alpha/2} \frac{s}{\sqrt{n}}  

The degrees of freedom are 4 from part a

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.  

t_{\alpha/2}=2.78  

And replacing into the confidence interval formula we got:  

524.6 - 2.78 \frac{27.682}{\sqrt{5}}=490.184  

524.6 + 2.78 \frac{27.682}{\sqrt{5}}=559.016  

And the 95% confidence interval would be given (490.184;559.016).  

We are confident at 95% that the true mean is between (490.184;559.016).

4 0
3 years ago
8n - 24 = -2 (1 - 3n) + 2n
ICE Princess25 [194]

Answer:

n=-11

Step-by-step explana

4 0
3 years ago
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Which graph represents the solution to this system of inequalities? y ≤ -2x y &gt; 3x − 4
Evgesh-ka [11]

Answer:

Option A,

Only that graph represents the solution to the given system of inequalities.

Answered by GAUTHMATH

3 0
3 years ago
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