Answer: 40 out of 52 or reduced to 10 out of 13
Step-by-step explanation:
The probability of a heart is 13/52
You then have 39 cards left of 3 different suits
There will be 3 2's, 3 3's, 3 4's, 3 5's, 3 6's, 3 7's, 3 8's, 3 9's and 3 10's. (27 total)
27 + 13 = 40
40/52 or 10/13
Using the normal distribution, it is found that due to the greater z-score, Stewart caught the longer fish relative to the same specie.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
To find who caught the longer fish relative to the same specie, we need to find out who had the higher z-score.
Stewart caught a bluefish with a length of 322 mm, hence the parameters are as follows:

The z-score is:


Z = 1.41
Gina caught a pompano with a length of 176 mm, hence the parameters are as follows:

The z-score is:


Z = 0.75.
Hence Stewart caught the longer fish relative to the same specie.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
matematik
Step-by-step explanation:
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Answer:
2y² + 9
---------------
15y³
Step-by-step explanation:
Start by identifying the LCD, and then change each fraction so that its denominator is the LCD.
Here the LCD is 15y³, which is evenly divisible by 15y and 5y³.
Focus now on the first fraction: 2 / (15y). Multiplying numerator and denominator of this fraction by y² results in
y²·2 2y²
--------- → ----------
y²·15y 15y³ ←This is the correct LCD
Multiplying numerator and denominator of the second fraction by 3 results in:
3·3 9
------------ → ---------
3·5y³ 15y³ ←This is the correct LCD
So now those two original terms look like:
2y² 9
--------- + --------
15y³ 15y³
and this can be written in simpler form as:
2y² + 9
---------------
15y³
Answer:
x= 14/9 = 1 5/9
Step-by-step explanation:
Use the distributive property to multiply 2 by 5x−3.
2(5x−3)−4=x+4
Subtract 4 from −6 to get −10.
10x−6−4=x+4
Subtract x from both sides
10x−10=x+4
Combine 10x and −x to get 9x.
10x−10−x=4
Add 10 to both sides.
9x−10=4
Divide both sides by 9.
x= 14/9
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