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Sloan [31]
3 years ago
9

Please help please please please help

Mathematics
1 answer:
Kipish [7]3 years ago
8 0

Answer:

In the image attached , point G would be the best location for the amphitheatre.


Step-by-step explanation: The developer in order to find the best location for the amphitheatre, needs to find the centroid of the triangle shaped city.

Centroid can be find out easily by finding out the intersection points of all the medians. So we find it by joining TOWN A to midpoint of TOWN B and C , TOWN B to midpoint of TOWN A and C , TOWN C to midpoint of TOWN A and B. And we can observe where these three lines meet is our required point G and also the best location for amphitheatre.


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The mean annual premium for automobile insurance in the United States is $1503 (Insure website, March 6, 2014). Being from Penns
romanna [79]

Answer:

If we compare the p value and the significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.

Step-by-step explanation:

1) Data given and notation  

\bar X=1440 represent the mean annual premium value for the sample  

s=165 represent the sample standard deviation for the sample  

n=25 sample size  

\mu_o =1503 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 conduct a hypothesis in order to check if the mean annual premium in Pennsylvania is lower than the national mean annual premium, the system of hypothesis would be:  

Null hypothesis:\mu \geq 1503  

Alternative hypothesis:\mu < 1503  

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".  

Calculate the statistic

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

t=\frac{1440-1503}{\frac{165}{\sqrt{25}}}=-1.909    

P-value

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

df=n-1=25-1=24  

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

p_v =P(t_{(24)}  

Conclusion  

If we compare the p value and the significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.  

7 0
3 years ago
Vertex and axis of symmetry
Furkat [3]

Answer:

Vertex = (-3, -1)

Axis of Symmetry: x = -3

Step-by-step explanation:

The vertex is (-3, -1), the axis of symmetry is x = -3. The x-intercept is -2 and -4, the y intercept is 8, the domain is R, the range is [-1, inf.]

The function is increasing in {-3, inf.} and decreasing in {-inf., 3}

5 0
3 years ago
Multiplied by 3/4 and then divided by 3/5 is the same as dividing by what?
netineya [11]

We have:  x ×  \frac{3}{4} ÷ \frac{3}{5} = x ×  \frac{3}{4}  ×  \frac{5}{3} =  x × \frac{5}{4} = x ÷ \frac{4}{5}

ANSWER:  E. 4/5

Ok done. Thank to me :>

6 0
2 years ago
The nut shack sells cashews for $6.00 per pound and Brazil nuts for $5.00 per pound. How much of each type should be used to mak
Kay [80]

Answer:

Number of pounds of cashews = x = 14.96 pounds

Number of pounds of Brazil nuts = y = 19.04 pounds

Step-by-step explanation:

Let us represent:

Number of pounds of cashews = x

Number of pounds of Brazil nuts = y

The nut shack sells cashews for $6.00 per pound and Brazil nuts for $5.00 per pound. How much of each type should be used to make a 34 pound mixture that sells for $5.44 per pound

Our system of equations is given as:

x + y = 34...... Equation 1

x = 34 - y

6x + 5y = 34 × 5.44

6x + 5y = 184.96.......Equation 2

Ww substitute : 34 - y for x in Equation 2

6(34 - y) + 5y = 184.96

204 - 6y + 5y = 184.96

Collect like terms

- 6y + 5y = 184.96 - 204

-y = -19.04

y = 19.04 pounds

Solving for x

x = 34 - y

x = 34 - 19.04

x = 14.96 pounds

Number of pounds of cashews = x = 14.96 pounds

Number of pounds of Brazil nuts = y = 19.04 pounds

7 0
2 years ago
Pls plsss help with math, it’s easyyy!! explanation needed!!
zimovet [89]

Answer:

C. x = -12 and x = 2

Step-by-step explanation:

-x²-10x+24=0     Original equation

x²+10x-24=0      Divide everything by -1

(x+12)(x-2)=0      Factor it out

x=-12,2               Solve so that the inside of the parentheses equals 0

7 0
3 years ago
Read 2 more answers
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