Answer:
$1210
Step-by-step explanation:
Let x be total amount
First John spent $110 on a radio and 4/11 of what was left on presents for his friends so he was left with
Then he put 2/5 of his remaining money into a checking account
Rest he donated to charity
Hence total amount of money John originally had was $1210
Answer:
Equal df
Step-by-step explanation:
Given that a chi square test for goodness of fit is used to examine the distribution of individuals across three categories,
Hence degree of freedom = 3-1 =2
Similarly for a chi-square test for independence is used to examine the distribution of individuals in a 2×3 matrix of categories.
Here degree of freedom = (r-1)(c-1) where r = no of rows and c =no of columns
= (2-1)(3-1) = 2
Thus we find both have equal degrees of freedom.
Answer:
0.7673
Step-by-step explanation:
We have the following:
The null and alternative hypothesis is,
H0: m = 290
Ha: m> 290
x = 285.2
m = 290
sd = 59.3
n = 82
is m the mean, sd the standard deviation and n the population size
Now we calculate the value of z like this:
z = (x - m) / sd / (n ^ (1/2))
z = (285.2 - 290) / 59.3 / (82 ^ (1/2))
z = -0.73
now
P (z> -0.73) = 1 - P (z <-0.73)
we look at the normal distribution table
P = 1 - 0.2327 = 0.7673
Therefore the value of p is equal to 0.7673
The circumcenter of a triangle is the intersection of the perpendicular bisectors.It is the center of the triangle's circumcircle. And a circumcircle is the circumscribed circle of the triangle. This unique circle passes through each of the triangle's three vertices. According to these definitions the following statement is true:
Point H is the center of the circle that passes through points D, E, and F.
Answer:
10.99 feet
Step-by-step explanation:
The arc length when an angle of 360° is made is the perimeter of the circle.
Perimeter = π*Diameter = π*30 = 94.25 ft
To know the arc length when an angle of 42° is made, we need to use the following proportion
94.25 ft / x ft = 360° / 42°
x = 42/360*94.25
x = 10.99 ft
