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Mathematics

2 answers:

galben [10]4 years ago

5 0

Answer:

length of line segment PQ is 5 units

Step-by-step explanation:

Tangent secant theorem

MN² = QN x PN

6² = 4(x+4)

36 = 4x + 16 Plug in values into exponents

20 = 4x Subtract 16 from both sides

x = 5 Divide by 4 to isolate the variable

MrRa [10]4 years ago

4 0

Answer:

5 units

Step-by-step explanation:

The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.

4 * (4+x) = 6^2

Distribute

16 +4x = 36

Subtract 16 from each side

16-16+4x = 36-16

4x= 20

Divide each side by 4

4x/4 = 20/4

x=5

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Marianna went running and had 16 of a bottle of water left when she stopped to rest. She went to a water fountain and filled it

vovikov84 [41]

Answer:

7/100

Step-by-step explanation:

16/100 to 23/100

23-16 = 7

7/100 added

4 0

3 years ago

The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes

kifflom [539]

We have been given for a normal distribution the mean time it takes to walk to the bus stop is 8 minutes with a standard deviation of 2 minutes. And the mean time it takes for the bus to get to school is 20 minutes with a standard deviation of 4 minutes.

(a) Average time that it would take reach school can be obtained by adding the average times.

8+20 = 28 minutes.

(b) Standard deviation of the trip to school can be found as:

$\sigma =\sqrt{2^{2}+4^{2}}=\sqrt{4+16}=\sqrt{20}=4.47$