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hammer [34]
1 year ago
12

Trixie goes to the pet store with $17.00. She buys 2 goldfish for $2.50 each and 3 hermit crabs for $1.00 each. How many money d

oes she have left?
Mathematics
1 answer:
deff fn [24]1 year ago
7 0

Answer:

$9

Step-by-step explanation:

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John has two jobs. For daytime work at a jewelry store he is paid
djyliett [7]

Given Information:

John's mean monthly commission = μ = $10,000

Standard deviation of monthly commission = σ =  $2,000

Answer:

P(9,000 < X < 11,000) = 0.383\\\\P(9,000 < X < 11,000) = 38.3 \%

The probability that John's commission from the jewelry store is  between $9,000 and $11,000 is 38.3%

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.  

We want to find out the probability that John's commission from the jewelry store is  between $9,000 and $11,000?

P(9,000 < X < 11,000) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(9,000 < X < 11,000) = P( \frac{9,000 - 10,000}{2,000} < Z < \frac{11,000 - 10,000}{2,000} )\\\\P(9,000 < X < 11,000) = P( \frac{-1,000}{2,000} < Z < \frac{1,000}{2,000} )\\\\P(9,000 < X < 11,000) = P( -0.5 < Z < 0.5 )\\\\P(9,000 < X < 11,000) = P( Z < 0.5 ) - P( Z < -0.5 ) \\\\

The z-score corresponding to 0.50 is 0.6915

The z-score corresponding to -0.50 is 0.3085

P(9,000 < X < 11,000) = 0.6915 - 0.3085 \\\\P(9,000 < X < 11,000) = 0.383\\\\P(9,000 < X < 11,000) = 38.3 \%

Therefore, the probability that John's commission from the jewelry store is  between $9,000 and $11,000 is 38.3%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.4, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.50 then go for 0.00 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

4 0
3 years ago
Find the dimensions of a closed right circular cylindrical can of smallest surface area whose volume is 128pi cm^3
Ratling [72]
The surface area of a cylindrical can is equal to the sum of the area of two circles and the body of the cylinder: 2πr2 + 2πrh. volume is equal to π<span>r2h.

V = </span>π<span>r2h = 128 pi
r2h = 128 
h = 128/r2

A = </span><span>2πr2 + 2πrh
</span>A = 2πr2 + 2πr*(<span>128/r2)
</span>A = 2πr2 + 256 <span>π / r
</span><span>
the optimum dimensions is determined by taking the first derivative and equating to zero.

dA = 4 </span>πr - 256 <span>π /r2 = 0
r = 4 cm
h = 8 cm
</span><span>

</span>
4 0
3 years ago
Hello, I need help with my math please.
lara [203]

Joe Biden is a hole that why I think he is a good friend of the Republican party in my opinion and he start with the right now to be a question I can get in his brother was the one

3 0
2 years ago
In each pear the first value is the regular price of an item and the second value is the price with gratuity. Identify the pair
lina2011 [118]
The price that does not belong is 16,18.40. You do this by finding the percent gratuity, which is 15%. All the other values have 15% gratuity except the $16.
3 0
3 years ago
How many times does 31 goes into 6
Paul [167]
6 goes into 31 5 times which is 30 so the answer would be 5 1/6
8 0
3 years ago
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