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2 years ago

Please help with this, Thank You.

Mathematics

1 answer:

Dmitry [639]2 years ago

4 0

Answer:

$x = 12$

Step-by-step explanation:

$3x + 9 = 5x - 15$

$2x = 24$

$x = 12$

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1/3x-2=16 solve the equation

Anni [7]

Answer: x= 1/54
Explained: easy mental math :p

6 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

Write three expressions that are the equivalent of 5of 100, 000 , first as a numberthen in wordsfinally in scientific notation

disa [49]

Answer: 1) 500, 000

2) Five hundred thousand

3) $5\times10^5$

Step-by-step explanation:

To express: 5 of 100, 000 in three expressions (First - number. second - word , third - scientific )

5 of 100, 000 = 5 x 100, 000 = <u>500, 000</u>

In word -<u> Five hundred thousand</u> [ as place value of 5 = hundred thousand]

In scientific notation, $500, 000=5\times10^5$

Hence, the required expressions:

1) 500, 000

2) Five hundred thousand

3) $5\times10^5$

4 0

4 years ago

3 over the whole value of (x2−5x+6) = a over the whole value of (x−2) + b over the whole value of (x−3)

muminat

I guess that's all you can do
to find a and b you need more information

b=-a -> a (x-3)-a (x-2)=3
a [x-3-(x-2)]=3
a (x-3-x+2)=3
a*(-1)=3
a=3:(-1)
a=-3
b=-a=-(-3)=3