Answer:
27/40
Step-by-step explanation:
Probability of picking heart: 3 hearts/ 10 total
Probability of picking club: 4 clubs/ 9 left over cards
3/10 divided by 4/9= 27/40
Hope this helped
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Answer:

We can rewrite this expression like this:

And we can use the quadratic formula given by:

Where 
And replacing we got:

And solving we got:

And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75
Step-by-step explanation:
For this case we know that we have a rectangular playground and the area can be founded with this formula:

Where x represent the width and y the length. From the problem we know that A =1400 m^2 and the heigth is 10m longer than the wide so we can write this condition as:

And replacing this formula into the area we got:

We can rewrite this expression like this:

And we can use the quadratic formula given by:

Where 
And replacing we got:

And solving we got:

And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75
Answer:
2/6 = 48/144
7/8 = 168/192
Step-by-step explanation:
Use the least common denominator to write an equivalent fraction for each fraction. 2/6 , 7/8 The least common denominator is 24 .
2/6 can be rewritten as __
We Multiply both numerator and Denominator by 24
48/144
7/8 can be rewritten as __
We Multiply both numerator and Denominator by 24
168/192
A Z-score helps us to understand how far is the data from the mean. The number of phones who have battery life in the range of 11.4 to 13 range is 1145.
<h3>What is Z-score?</h3>
A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
The percentage of phones who have battery life in the range of 11.4 to 13 range is,

= 0.50 - 0.0228
= 0.4772
Now, the number of phones who have battery life in the range of 11.4 to 13 range is,
Number of phones = 0.4772 × 2400 = 1145.28 ≈ 1145
Hence, the number of phones who have battery life in the range of 11.4 to 13 range is 1145.
Learn more about Z-score:
brainly.com/question/13299273
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Because that piece is divided into less pieces then the other piece.