Figure A maps to figure B with a scale factor of 2/3 -> Every single side of figure B equal to 2/3 of its corresponding side on triangle A.
So, we can find x by taking 10.5 x 2/3 = 7
-> x = 7
Answer:
a. The null hypothesis for this test is that the observed distribution is the same as uniform distribution
b. The degrees of freedom do you have for this test is 4
c. The calculated value of the test statistic is 9.250
Step-by-step explanation:
a. According to the given data we can conclude that the null hypothesis for this test is that the observed distribution is the same as uniform distribution.
b. In order to calculate the degrees of freedom do you have for this test we would have to make the following calculation:
degrees of freedom=k-1
degrees of freedom=5-1
degrees of freedom=4
c. In order to calculate the value of the test statistic first we have to calculate the frecuency expected as follows:
expected frecuency=total observed frecuency/total number of category
expected frecuency=1,000/5
expected frecuency=200
Hence, to calculate the value of the test statistic we have to calculate the following formula:
x∧2=∑(fo-fe)∧2/fe
=(185-200)∧2/200+(230-200)∧2/200+(215-200)∧2/200+(180-200)∧2+(190-200)∧2
=9.250
The calculated value of the test statistic is 9.250
Answer:38
Step-by-step explanation:
The diagonal of a rectangle creates the hypotenuse of a right triangle. Use the Pythagorean theorem, a2 + b2 = c2, where a = 30 ft and b = 24 ft, to calculate the length of the fence c.
a2 + b2 = c2
302 + 242 = c2
900 + 576 = c2
1476 = c2
38.42 ≈ c
The fence should be about 38 feet long. Isn't it strange to divide a garden in half diagonally with a fence? It doesn't seem to serve the purpose of keeping intruders out. It doesn't seem to serve any purpose, really.
Answer:
The value of the given expression when z=27 is 16
Therefore 
when z=27
Step-by-step explanation:
Given expression is 
To find the value of the expression when z=27 :
First simplify the given expression
Put z=27 in the above equation we get
Therefore the value of the given expression when z=27 is 16
Therefore when z=27
B. 12
Because you take 29 and subtract 17
