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geniusboy [140]
3 years ago
11

Allen went out to dinner and hls total bill

Mathematics
1 answer:
Reika [66]3 years ago
6 0
$20.50 because 22.14-1.64=20.50
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Multiply (5 + 3i)(5 − 3i) <br><br> 16 + 15i <br><br> 16 − 15i <br><br> 16 <br><br> 34
Annette [7]

Answer:

(5 + 3i)(5 − 3i) = 34

Step-by-step explanation:

The multiplication of two identical binomials who have different symbol, can be solved using the factoring case of a difference of squares:

(a-b).(a+b)=a^{2}-b^{2}

So, in this case:

(5+3i).(5-3i) = 5^{2}-(3i)^{2}

=25-9i^{2}

Remember that i=\sqrt{-1}

So: i^{2}=-1

We replace on the polynomial:

=25-9.(-1) = 25+9=34

3 0
3 years ago
Read 2 more answers
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
Please help me find the answer
mixas84 [53]
136 would be the answer
5 0
2 years ago
Write an equation in point-slope form and slope-intercept form for
slava [35]

Answer:

point slope: y-7=2(x-4

slope intercept: y=2x-1

Step-by-step explanation:

point slope form: y-y1=m(x-x1)

(4,7) and m=2

using all the info here is it in point slope form: <u>y-7=2(x-4)</u>

turning the point slope equation into slope intercept...

slope intercept form: y=mx+b

first simplify y-7=2(x-4) into y-7=2x-8

then add 7 to both sides...

which would be <u>y=2x-1 </u>

and thats your answer!!

4 0
3 years ago
Find the segment length indicated. Assume that lines which appear to be tangent
Jobisdone [24]

Answer:

its righties b

Step-by-step explanation:

5 0
2 years ago
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