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Blizzard [7]
2 years ago
8

The lengths of the sides of a triangle are in the extended ratio 8 : 9 : 10. The perimeter of the triangle is 108cm. What are th

e lengths of the sides?
Mathematics
1 answer:
belka [17]2 years ago
3 0

Answer:

32, 36, 40

Step-by-step explanation:

8x + 9x + 10x = 108

27x = 108

x = 4

4 × 8 = 32 - 1st side

4 × 9 = 36 - 2nd side

4 × 10 = 40 - 3rd side

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Minor surgery on horses under field conditions requires a reliable short-term anesthetic producing good muscle relaxation, minim
andreev551 [17]

Answer:

p_v =P(t_{74}    

If we compare the p value and a significance level for example \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.

Step-by-step explanation:

Data given and notation    

\bar X=18.81 represent the average lateral recumbency for the sample    

s=8.4 represent the sample standard deviation    

n=75 sample size    

\mu_o =20 represent the value that we want to test    

\alpha 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 apply a left tailed  test.  

What are H0 and Ha for this study?    

Null hypothesis:  \mu \geq 20  

Alternative hypothesis :\mu < 20  

Compute the test statistic  

The statistic for this case 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{18.81-20}{\frac{8.4}{\sqrt{75}}}=-1.227

The degrees of freedom are given by:

df=n-1=75-1=74    

Give the appropriate conclusion for the test  

Since is a one side left tailed test the p value would be:    

p_v =P(t_{74}    

Conclusion    

If we compare the p value and a significance level for example \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.

3 0
3 years ago
Q25. The floor of a hall is completely covered by 26 carpets, each
Andreas93 [3]

Answer:

276m^{2} total area. 78m breadth.

Step-by-step explanation:

First, do 4 multiplied by 3 to find the area of one carpet. The answer is 12m. Then, do 12m multiplied by 23 to get the total area. The answer will be 276m squared. If you want to find width then do 3m multipled by 26 which is 78m.

7 0
2 years ago
-1 -5(-2k+ 3) = - 76​
Ket [755]
Answer is -6(see photo for step by step):

4 0
3 years ago
The attachment is below
OverLord2011 [107]

Answer:

B) 1) -10 2) 4

C) 1) 16 2)-178 3)-315 4) 144

Step-by-step explanation:

input the f(x) number wherever the x is.

For example B) 1)f(x)= -1; 9- -1 -6 times -1

9 + 1 -6(-1) = 10 + 6 = 16

7 0
3 years ago
The Hudson family is saving for a
Lera25 [3.4K]

The amount of money that Hudson will need to save each week is $106.25.

<h3>How to calculate the value?</h3>

From the information, they determine that the trip will cost $3,200. Mr. and Mrs. Hudson have already set aside $1,500 for the trip.

Let the amount saved each week be represented as w.

Based on the information given, this will be illustrated as:

1500 + 16w = 3200

Collect like terms

16w = 3200 - 1500

16w = 1700

Divide

w = 1700 / 16

w = 106.25

The amount is $106.25.

Learn more about money on:

brainly.com/question/24373500

#SPJ1

4 0
1 year ago
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