307.85
-40
-9.50
-41.75
+23.75
-4.62
=235.73$
The <em>expected number of mortgages</em> approved per week and the standard deviation of the distribution are 2.019 and 0.024 respectively.
<u>The expected number of mortgages approved per week</u> :
- <em>Mean = (Σfx ÷ Σf)</em>
Expected Number approved = 210 ÷ 104 = 2.019
Hence, it is expected that 2.019 mortageahes would be approved per week.
<u>The standard deviation</u> :
- <em>Variance = [Σ(Xi - x)² ÷ Σf] </em>
- <em>Standard deviation = √Variance</em>
Variance = (59.5414 ÷ 104) = 0.0005698
Standard deviation = √0.0005698
Standard deviation = 0.024
Therefore, the expected value and standard deviation are 2.019 and 0.024 respectively.
Learn more :brainly.com/question/15528814
21.6 units
Calculate the length of the 2 inclined sides using the distance formula
d = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, 4 )
d = √(3 + 3 )² + (4 - 3)² = √(36 + 1 ) = √37
repeat for (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, - 3 )
d = √(3 + 3 )² + (- 3 - 3 )² = √(36 + 36 ) = √72
the vertical side has a length of 7 units
perimeter = √37 + √72 + 7 = 21.6 ( nearest tenth of a unit )
Answer:
x= 8 y= 1
Step-by-step explanation:
First, you identify your variables:
x= larger number
y= smaller number
Second, you find your equations:
x - y = 7
2x + 3y = 19
Third, (I used the substitution method) you make "y" by itself for the 1st equation.
y = x - 7
2x + 3y = 19
Then, you plug in the 1st equation for "y" in the 2nd equation
2x + 3(x - 7) = 19
Then, you distribute and simplify.
2x + 3x - 21 = 19
5x - 21 = 19
5x = 40
x = 8
Finally, you plug in the variable you found ( x ) into one of the equations and solve,
8 - y = 7
- y = -1
y = 1
Answer: the answer is : you write a compound inequality for the amount of money she would spend, subtract the money she did spend and divide by the cost of what she has yet to buy she can buy between 1-7 shirt
Step-by-step explanation:
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