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3 years ago

What single transformation maps ABC onto A'B'C'?

Mathematics

2 answers:

TEA [102]3 years ago

7 0

Plz mark me as brainliest !

Is the second one :
Rotation 90 degrees counterclockwise about the Origen

Nutka1998 [239]3 years ago

4 0

A 90 Degree counter clockwise rotation

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The weights of 83 randomly selected windshields were found to have a variance of 1.88. Construct the 95% confidence interval for

Morgarella [4.7K]

Answer:

95% confidence interval for the population variance = (1.42 , 2.62).

Step-by-step explanation:

We are given that the weights of 83 randomly selected windshields were found to have a variance of 1.88.

So, firstly the pivotal quantity for 95% confidence interval for the population variance is given by;

P.Q. = $\frac{(n-1)s^{2} }{\sigma^{2} }$ ~ $\chi^{2} __n_-_1$

where, $s^{2}$ = sample variance = 1.88

$\sigma^{2}$ = population variance

n = sample of windshields = 83

So, 95% confidence interval for population variance, $\sigma^{2}$ is;

P(58.85 < $\chi^{2} __8_2$ < 108.9) = 0.95 {As the table of $\chi^{2}$ at 82 degree of freedom

gives critical values of 58.85 & 108.9}

P(58.85 < $\frac{(n-1)s^{2} }{\sigma^{2} }$ < 108.9) = 0.95

P( $\frac{ 58.85}{(n-1)s^{2} }$ < $\frac{1 }{\sigma^{2} }$ < $\frac{108.9}{(n-1)s^{2} }$ ) = 0.95

P( $\frac{ (n-1)s^{2}}{108.9 }$ < $\sigma^{2}$ < $\frac{ (n-1)s^{2}}{58.85 }$ ) = 0.95

95% confidence interval for $\sigma^{2}$ = ( $\frac{ (n-1)s^{2}}{108.9 }$ , $\frac{ (n-1)s^{2}}{58.85 }$ )

= ( $\frac{ (83-1)\times 1.88}{108.9 }$ , $\frac{ (83-1)\times 1.88}{58.85 }$ )

= (1.42 , 2.62)

Therefore, 95% confidence interval for the population variance of the weights of all windshields in this factory is (1.42 , 2.62).

8 0

3 years ago

Tomas is planning out a rail trail using a map with a marked grid. The head of the trail, which has an information kiosk, is loc

Black_prince [1.1K]

Since the head of the trail is located at (3, 0), the trail moves 3 units north with each move and the map extends to 40 units to the north, then the number of 3 units in 40 units is 13.

Thus, he can move only thirteen 3 units to the north and hence, thirteen 1 unit to the east.

Thus, the x-coordinate of the foot of the trail is 3 + 13 = 16 and the y-coordinate of the foot of the trail is 0 + 3(13) = 39.

Therefore, the location of the foot of the trail is at (16, 39).

3 0

3 years ago

Read 2 more answers

What is the value of log Subscript 4 Baseline 16?

Bess [88]

Answer:

The Answer is 2.

Step-by-step explanation:

5 0

4 years ago

Please answer the first question !! It would mean a lot to me!!

IceJOKER [234]