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Lena [83]
2 years ago
5

Find the slope-intercept form of the equation of the line that has the given slope m and passes through the given point.

Mathematics
1 answer:
salantis [7]2 years ago
8 0

Answer:

y = 3/8x - 7/2

Step-by-step explanation:

y = 3/8x + b

-5 = 3/8(-4) + b

-5 = -3/2 + b

-7/2 = b

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A random sample of 25 ACME employees showed the average number of vacation days taken during the year is 18.3 days with a standa
Norma-Jean [14]

Answer:

a) Null hypothesis:\mu \leq 15  

Alternative hypothesis:\mu > 15  

b) df=n-1=25-1=24  

For this case the p value is given p_v = 0.0392

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 15 at 5% of signficance.  

c) Type I error, also known as a “false positive” is the error of rejecting a null  hypothesis when it is actually true. Can be interpreted as the error of no reject an  alternative hypothesis when the results can be  attributed not to the reality.

So for this case a type I of error would be reject the hypothesis that the true mean is less or equal than 15 and is actually true.

Step-by-step explanation:

Data given and notation  

\bar X=18.3 represent the sample mean

s=3.72 represent the sample standard deviation

n=25 sample size  

\mu_o =15 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)  

Part a: State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean for vacation days is higher than 15, the system of hypothesis would be:  

Null hypothesis:\mu \leq 15  

Alternative hypothesis:\mu > 15  

If we analyze the size for the sample is < 30 and we don't know the population deviation so 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".  

Part b: P-value  and conclusion

The first step is calculate the degrees of freedom, on this case:  

df=n-1=25-1=24  

For this case the p value is given p_v = 0.0392

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 15 at 5% of signficance.  

Part c

Type I error, also known as a “false positive” is the error of rejecting a null  hypothesis when it is actually true. Can be interpreted as the error of no reject an  alternative hypothesis when the results can be  attributed not to the reality.

So for this case a type I of error would be reject the hypothesis that the true mean is less or equal than 15 and is actually true.

3 0
2 years ago
The area of a circle is 132.7 square cm. Find the diameter.
hram777 [196]

13 cm (approximately)

Step-by-step explanation:

Let the radius of the circle be 'r'.

Area of the circle = πr²

=> 132.7 = (22/7) r²

=> 6.5 ≈ r

Therefore, diameter = 2radius = 2(6.5) = 13 cm

6 0
2 years ago
X3(2x2 + 3x) <br><br> a. 2x5 + 3x4 <br> b. 5x9 <br> c. 2x6 + 3x3 <br> d. 5x
Serhud [2]

Answer:

2x^5+3x^4

Step-by-step explanation:

x^3\left(2x^2+3x\right)

<u>Apply distributive law: </u>a\left(b+c\right)=ab+ac

  • x^3\left(2x^2+3x\right)=x^3\times \:2x^2+x^3\times \:3x
  • x^3\times \:2x^2+x^3\times \:3x
  • 2x^5+3x^4

<u>OAmalOHopeO</u>

5 0
2 years ago
Using technology, determine the monthly payment on a 35 month loan of $28,000 at 8.1% compounded annually. Round you answer to t
sdas [7]
Present Value of an annuity is given by the formular
PV = P(1 - (1 + r)^-n)/r; where PV = $28,000, r = 0.081/12 = 0.00675, n = 35 and P is the periodic (monthly) payment.

P = PVr/(1 - (1 + r)^-n) = (28,000 x 0.00675)/(1 - (1 + 0.00675)^-35) = 189/0.2098 = 900.90

Therefore, the monthly payment is $900.90
7 0
3 years ago
PLEASE HELP will give BRAIN
AysviL [449]

Answer:

a) 15

b) 5

c) x/x

d) 189

hope this helps :)

5 0
2 years ago
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