<h3>
Answer: 23.13 square meters</h3>
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Explanation:
The top and bottom semicircles can be joined to form a full circle. The same can be said about the left and right semicircles. Each circle has diameter 3 and radius 1.5
The area of one circle is
A = pi*r^2
A = 3.14*(1.5)^2
A = 7.065
So two circles doubles to 2*7.065 = 14.13 square meters in area.
Then the last step is to add on the area of the 3 by 3 square (area 3*3 = 9) to get 14.13+9 = 23.13
This area is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate area. However, your teacher wants you to use this specific value so it's best to stick with 23.13
Answer:
D (0, 2)
General Formulas and Concepts:
<u>Algebra I</u>
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
y = 3/4x + 2
<u>Step 2: Break Function</u>
<em>Identify Parts</em>
Slope <em>m</em> = 3/4
y-intercept <em>b</em> = 2
Answer:
the probability that the sample variance exceeds 3.10 is 0.02020 ( 2,02%)
Step-by-step explanation:
since the variance S² of the batch follows a normal distribution , then for a sample n of 20 distributions , then the random variable Z:
Z= S²*(n-1)/σ²
follows a χ² ( chi-squared) distribution with (n-1) degrees of freedom
since
S² > 3.10 , σ²= 1.75 , n= 20
thus
Z > 33.65
then from χ² distribution tables:
P(Z > 33.65) = 0.02020
therefore the probability that the sample variance exceeds 3.10 is 0.02020 ( 2,02%)
Step-by-step explanation:
[ Refer to the attached file ]
( Slide to refer all files )
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• To solve Questions of type 11 we need to simplify the equation by using mathematical operations !!
• To solve Questions of type ( 13 , 15 and 17 ) we try to make the bar numeral to come other side of decimal
° and by subtracting we get the required fraction !!
<h2 />
The difference in gallons per day used is 3.6.
The formula to calculate a z-score is:

,
where X is the value used to calculate the score, μ is the mean and σ is the standard deviation. We have the z-scores so we must work backward:

For both equations, we will cancel the 1.2 by multiplying both sides:

Now we will cancel 2.2 from both equations by adding it to both sides:
3.6+2.2=X-2.2+2.2 and 0+2.2=X-2.2+2.2
5.8=X and 2.2=X
The difference in gas used per day would be given by
5.8-2.2 = 3.6.