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antiseptic1488 [7]
3 years ago
14

Heather and her family are going to the grand opening of a new amusement park. There is a special price on tickets this weekend.

Tickets cost $56.00 each. This is 70% of the cost of a regular price ticket. What is the cost of a regular price ticket?
Mathematics
2 answers:
boyakko [2]3 years ago
8 0
$80
x*.7=56
x= the original price
divide 56 by .7 and you will get $80
Likurg_2 [28]3 years ago
4 0
56 + 16.80 = 72.80!!!!!!!!!!!!!
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Lostsunrise [7]

The dilation scale factor is applied to all lengths.

... A'B' = (10 in)×25 = 250 in.

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What are the coordinates of the endpoints of the mid segment of triangle ABC that is parallel to line AB?
MrMuchimi

Answer:

(4.5,4)  and  (4.5,6.5)

Step-by-step explanation:

we have the coordinates

A(2,7),B(2,2),C(7,6)

we know that

The mid segment of triangle ABC that is parallel to line AB is located between the mid point AC and the mid point BC

The formula to calculate the midpoint between two points is equal to

(\frac{x1+x2}{2},\frac{y1+y2}{2})

step 1

Find the mid point AC

we have

A(2,7),C(7,6)

substitute in the formula

(\frac{2+7}{2},\frac{7+6}{2})

(4.5,6.5)

step 2

Find the mid point BC

we have

B(2,2),C(7,6)

substitute in the formula

(\frac{2+7}{2},\frac{2+6}{2})

(4.5,4)

therefore

The endpoints of the mid segment of triangle ABC that is parallel to line AB are (4.5,4)  and  (4.5,6.5)

8 0
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-1

Step-by-step explanation:

3 0
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Eight more than two times a number is fourteen
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Read 2 more answers
Each of a group of 20 intermediate tennis players is given two rackets, one having nylon strings and the other synthetic gut str
sergeinik [125]

Answer:

Find answers below

Step-by-step explanation:

H0: P <= 0.5

Ha: P > 0.5

, the number who prefer gut strings is <= a number or the test tends towards the  left-tailed.

{0,1,2,3,4,5} ;  

{15,16,17,18,19,20} is a right-tailed test and not appropriate for H0:

{ 0,1,2,3,17,18,19,20} is two-tailed and not appropriate for H0:

b)

Does the region specify a level .05 test? No

 

P = proportion who prefer gut strings to nylon

P = X /20

Assume alpha = 0.05

z(alpha) = -1.645

Reject if (x/20 - 0.5) / sqrt[ (0.5)(0.5)/20 ] < -1.645

Reject if (x/20 - 0.5) <  < (-1.645) sqrt ( (0.5)(0.5)/20 )

Reject if x/20   < (-1.645) sqrt ( (0.5)(0.5)/20 ) + 0.5

Reject if x/20   < 0.316

Reject if x   < (0.316)(20) = 6.32

{0,1,2,3,4,5,6} is the region for the best level 0.05 test

c)

According to (a),  reject H0 if x <= 5

P( Type II error) = P( do not reject H0/ when Ha is true)

P( Type II error) = P( x > 5/ P=0.6)

x ---p(x)

6  0.004854  0.998388  

7  0.014563    

8  0.035497  

9  0.070995  

10  0.117142  

11  0.159738  

12  0.179706  

13  0.165882  

14  0.124412  

15  0.074647  

16  0.034991  

17  0.012350  

18  0.003087  

19  0.000487  

20  0.000037  

add: 0.9984 --  proba bility of a type II error

Assuming P=0.8

P( Type II error) = P( x > 5/ P=0.8)

6  0.000002  1.000000  

7  0.000013  

8  0.000087  

9  0.000462  

10  0.002031  

11  0.007387  

12  0.022161  

13  0.054550  

14  0.109100  

15  0.174560  

16  0.218199  

17  0.205364  

18  0.136909  

19  0.057646  

20  0.011529  

add: 1.0000  probability of a type II error

d)

P( x <= 13) =  

0  0.000001  

1  0.000019  

2  0.000181  

3  0.001087  

4  0.004621  

5  0.014786  

6  0.036964  

7  0.073929  

8  0.120134  

9  0.160179  

10  0.176197  

11  0.160179  

12  0.120134  

13  0.073929  

add: 0.9423 < 0.10 ,  H0 cannot be rejected

5 0
3 years ago
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