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Aleonysh [2.5K]
3 years ago
7

→

Mathematics
1 answer:
aleksley [76]3 years ago
6 0

Answer:

The measure of ∠KPM is 66°

Step-by-step explanation:

we know that

∠LPM=∠LPK+∠KPM

If ray PK bisects ∠LPM

then

∠LPK=∠KPM

and

∠LPM=2[∠LPK] -----> equation A

we have

∠LPM=11x°

∠LPK=(4x+18)°

substitute the values in equation A

11x°=2(4x+18)°

Solve for x

11x=8x+36

11x-8x=36

3x=36

x=12°

<u>Find the measure of angle ∠LPK</u>

∠LPK=(4x+18)°

substitute the value of x

∠LPK=(4(12)+18)=66°

Remember that

∠LPK=∠KPM

therefore

∠KPM=66°

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The average daily volume of a computer stock in 2011 was μ=35.1 million​ shares, according to a reliable source. A stock analyst
alexandr1967 [171]

Answer:

The 95% confidence interval is ( 27.126 , 34.674)

Step-by-step explanation:

Given

The t critical value at 0.05 level = 2.023 for the df = 39

Confidence interval = 95%

Mean  

\bar{x} - t * \frac{s}{\sqrt{n} } < \mu < \bar{x} + t * \frac{s}{\sqrt{n} }

Substituting the given values we get -

\30.9 - 2.023 * \frac{11.8}{\sqrt{40} } < \mu < \30.9 + 2.023 * \frac{11.8}{\sqrt{40} }\\27.126 < \mu < 34.674

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masha68 [24]

Answer:

Step-by-step explanation:

Observe in the attached image that the final balance in your account on 9/1 is $578.30.

Then:

*On 9/6 he makes a payment of $140.30

*On 9/8, he makes a withdrawal from an ATM of $120

This means that:

$140.30 + $120 = $260.30

Then:

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This means that:

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So, we have:

Beginning Balance: $578.30.

Total Withdrawals: $260.30

Total Deposits: $356.22

Final Balance = Beginning balance + Total Deposits - Total Withdrawals

Final Balance= $578.30 + $356.22 - $260.30

Final balance= $674.22

Then:

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9/6        Auto Pay         140.30                       438.00

9/8         ATM               120.0                         318.00

9/18       Deposit                           356.22      674.22

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Answer:

Median: 55

First quartile: 26.5

Third quartile: 93

Interquartile range: 66.5

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3 years ago
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