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olganol [36]
3 years ago
12

What is the measure of PQR?​

Mathematics
1 answer:
Lisa [10]3 years ago
7 0

Answer:

PQRS is a quadrilateral and the measure of angle PQR is 70 degrees. According to the central angle theorem, that the angle inscribed on the circle is always half the measure of the central angle.

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On an architects blueprint, 1 inch corresponds to 9 feet. If an exterior wall is 60 feet long, find how long the blueprint measu
andre [41]

Answer:

x = 6.67 inches

Step-by-step explanation:

Set upa s a proportion

x/60 = 1/9

x = 1/9 * 60

x = 6.67 inches

6 0
3 years ago
Angle Bisector Solve for Y
olganol [36]

As <ABC=40

3x-1+34-2x=40

x =40-34+1 = 7

In triangle ABD

3x-1 + 90 +3y + 6= 180

3(7) +3y +95 =180

3y= 180-95-21=64

Y =64/3

4 0
3 years ago
Flora made 4 withdrawals of $80 each from her bank account. What was the overall change
Len [333]

Answer:

$320 if your saying how much in all its basically 8 times 4 add a zero to the end

Step-by-step explanation:

4 0
3 years ago
The annual rainfall (in inches) in a certain region is normally distributed with = 40 and = 4. What is the probability that star
sdas [7]

Answer:

0.93970

Step-by-step explanation:

Solution:-

- Denote a random variable "X" The annual rainfall (in inches) in a certain region . The random variable follows a normal distribution with parameters mean ( μ ) and standard deviation ( σ ) as follows:

                          X ~ Norm ( μ , σ^2 )

                          X ~ Norm ( 40 , 4^2 ).

- The probability that it rains more than 50 inches in that certain region is defined by:

                          P ( X > 50 )

- We will standardize our test value and compute the Z-score:

                          P ( Z > ( x - μ )  / σ )

Where, x : The test value

                          P (  Z > ( 50 - 40 )  / 4 )

                          P (  Z > 2.5 )

- Then use the Z-standardize tables for the following probability:

                          P ( Z < 2.5 ) = 0.0062

Therefore,          P ( X > 50 ) = 0.0062

- The probability that it rains in a certain region above 50 inches annually. is defined by:

                           q = 0.0062 ,

- The probability that it rains in a certain region rains below 50 inches annually. is defined by:

                           1 - q = 0.9938

                           n = 10 years   ..... Sample of n years taken

- The random variable "Y" follows binomial distribution for the number of years t it takes to rain over 50 inches.

                          Y ~ Bin ( 0.9938 , 0.0062 )

- The probability that it takes t = 10 years for it to rain:

                         =  10C10* ( 0.9938 )^10 * ( 0.0062 )^0

                         = ( 0.9938 )^10

                         = 0.93970

3 0
3 years ago
Outside a​ home, there is aa 44​-key keypad numbered 11 through 44. The correct sixsix​-digit code will open the garage door. Th
olya-2409 [2.1K]

Answer:

a) 4,096

b) 0.000244

Step-by-step explanation:

a)  

By the Fundamental rule of counting, there are

4*4*4*4*4*4 = 4,096  

ways of forming six-digit arrangements where each position has 4 possibilities (1 to 4)

b)

The probability of entering the correct code on the first try, assuming that the owner does not remember the code is  

1/4096 = 0.000244

5 0
3 years ago
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