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Juli2301 [7.4K]
3 years ago
6

Please Help ASAP. Thanks.

Mathematics
1 answer:
musickatia [10]3 years ago
6 0

Answer:

a = 2

Step-by-step explanation:

If M is the midpoint, 1/2 of FG = FM since FG is the whole length.

FG = 14a + 1

1/2 FG = 1/2(14a + 1)

1/2 FG = 7a + 1/2

The length of the segment FM = 14.5 and that is the same length as 1/2 FG

7a + 1/2 = 14.5

1/2 = 0.5

7a + 0.5 = 14.5        Subtract 0.5 from both sides

7a = 14.5 - 0.5

7a = 14                     Divide by 7

a = 14/7

a = 2

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Answer:

The correct option is (A).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the population proportion is:

CI=\hat p \pm MOE

The information provided is:

\hat p = 0.24

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The 85% confidence interval for the population proportion of adults who dreaded​ Valentine's Day is:

CI=\hat p \pm MOE

     =0.24\pm 0.089\\=(0.151, 0.329)

So, the 85% confidence interval for the population proportion of adults who dreaded​ Valentine's Day is (0.151, 0.329).

The (1 - <em>α</em>)% confidence interval for population parameter implies that there is a (1 - <em>α</em>) probability that the true value of the parameter is included in the interval.

Or, the (1 - <em>α</em>)% confidence interval for the parameter implies that there is (1 - <em>α</em>)% confidence or certainty that the true parameter value is contained in the interval.

So, the 85%  confidence interval for the population proportion, (0.151, 0.329), implies that there is 85% confidence that the proportion of the adult citizens of the nation that dreaded​ Valentine's Day is between 0.151 and 0.329.

Or there is 0.85 probability that the true proportion of the adult citizens of the nation that dreaded​ Valentine's Day is between 0.151 and 0.329.

Thus, the correct option is (A).

7 0
3 years ago
Endpoint: (-4, 8), midpoint: (3,-4)<br><br> Find the other endpoint<br><br> Explain please
swat32

Answer: (10,-16)

Step-by-step explanation:

A(-4,8)\ \ \ \ C(3,-4)\ \ \ \ \ B(x_B,y_B)=?\\

See the graph below.

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Multiply both parts of the equation by 2:

2x_C=x_A+x_B\\2x_C-x_A=x_A+x_B-x_A\\2x_C-x_A=x_B

Hence,

x_B=2*3-(-4)\\x_B=6+4\\x_B=10

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Multiply both parts of the equation by 2:

2y_C=y_A+y_B\\2y_C-y_A=y_A+y_B-y_A\\2y_C-y_A=y_B

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