Answer:
A. The distribution of sample means of the differences will be approximately normal if there are at least 30 years of data in the sample and/or if the population of differences in winning times for all years is normal.
Step-by-step explanation:
In other to perform a valid paired test, one of the conditions required is that, data for both groups must be approximately normal. To attain normality, the population distribution for the groups must be normal or based on the central limit theorem, the sample size must be large enough, usually n > 30. Hence, once either of the two conditions are met, the paired sample will be valid.
The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>
<em><u>Recall:</u></em>
Volume of a spherical shape = 
Volume of a rectangular prism = 
<em><u>Given:</u></em>
Diameter of basketball = 9.5 in.
Radius of the ball = 1/2 of 9.5 = 4.75 in.
Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)
Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft
- First, find the volume of the basketball:
Volume of ball = 
Volume of basketball = 
- Convert to


<em>Therefore,</em>
- Volume of basketball =

- Find the volume of the office (rectangular prism):
Volume of the office = 
- Number of basket ball that will fill the office = Volume of office / volume of basketball
Number of basket ball that will fill the office = 
Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.
Learn more here:
brainly.com/question/16098833
Hello,
N is closed for an opération(µ) means that
a,b ∈ N : a µ b ∈N (i suppose so)
Answer (1) ex 2/3 ∉ N
Answer (4) ex 2-3 ∉ N
∀ a,b ∈ N: a+b ∈N is true ; not a answer.
∀ a,b ∈ N: a*b ∈N is true ; not a answer.
Answer:
Step-by-step explanation:
<u>As per diagram:</u>
- ∠NXY ≅ ∠XYZ as alternate interior angles since XN and YN are parallel and XY is transversal
- m∠XYZ = m∠XZY = 63° since ΔXYZ is isosceles
<u>Find the measure of ∠YXZ:</u>
- m∠YXZ = 180° - 2*63° = 54°
<u>Find the bearing of Z from X:</u>
- m∠NXZ = m∠NXY + m∠YXZ = 63° + 54° = 117°
If it’s asking if it’s true of false it’s false
Because 5/11x6/7 =30/77