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o-na [289]
3 years ago
10

for each homemade greeting card Jacqui sells, she makes a profit of $0.35. In one week, she made a profit of $42. She sells the

cards for $0.75 each. About how many greeting cards did Jacqui sell that week?
Mathematics
1 answer:
kondaur [170]3 years ago
6 0
She sold about 120 because 42/0.35 is 120

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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
The Powerball lottery is decided every Wednesday and Saturday night by drawing five white balls out of a drum with 69 balls and
Doss [256]

Answer: a) 11,238,513 and b) 292,201,338

Step-by-step explanation:

Since we have given that

Number of white balls = 69

Number of white balls drawn = 5

Number of red balls = 26

Number of red balls drawn = 1

According to question, The Powerball jackpot is won by matching all five white balls in any order and the red Powerball.

So, a) Possible different ways of Powerball tickets can be purchased is given by

^{69}C_5\\\\=11,238,513

And

b) Number of possible ways of different winning Poweball tickets are there would be

26\times ^[69}C_5\\\\=292,201,338

Hence, a) 11,238,513 and b) 292,201,338

7 0
3 years ago
Which ordered pair is in the solution set of the system of linear inequalities graphed below?
garik1379 [7]

Answer:

(1,-4)

Step-by-step explanation:

6 0
3 years ago
Find the width of the rectangle prism when the surface area is 208 square centimeters
Pepsi [2]
Without more information, I assume it's a square and it's w/l =6.5 cm
4 0
3 years ago
Safeway sells three bags of chips for $12.99. Piazza's sells five bags of the same chips for $15.75. has the better deal at $ pe
defon

Answer:

Piazza's has the better deal per bag

Step-by-step explanation:

8 0
3 years ago
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