Answer:
D. -17/2
Step-by-step explanation:
1/2 - 4 (1/2 + 1)^2
First we evaluate what is inside the parentheses
1/2 - 4 (3/2) ^2
Now we square what is inside the parentheses
1/2 - 4(9/4)
Now multiply
1/2 -9
Get a common denominator 9 = 9 *2/2 = 18/2
1/2 - 18/2
-17/2
Answer:
{- 3, - 2, 0, 2 }
Step-by-step explanation:
The range is the y- coordinates of the points
(- 4, - 3 ) , (- 1, - 2 ) , (- 2, 0 ) , (0, 2 )
The y- coordinates are - 3, - 2, 0, 2
Then the range is { - 3, - 2, 0, 2 }
Answer:
8.80
hope this helps :)
Step-by-step explanation:
since it is 3% you have to divide it by 3,408
[3%]/[3,408]= 8.80
Answer:
A. mean=14.29
median=16
B. IQR=10
C. option 3
D. 5.91
Step-by-step explanation:
mean=sum of values/number of values=10+20+4+13+21+16+16/7=14.29
median is achieved by arranging data in increasing order and then calculating the middle value
4 10 13 16 16 20 21
The mid value is 16 so the median=16
IQR=interquartile range=3rd quartile-1st quartile=Q3-Q1=20-10=10
As n/4=7/4 is not an integer so
Q1=(n/4+1)value=(7/4+1)=2.75=2nd value=10
Q3=(3n/4+1)value=6.25=6th value=20
Standard deviation=s=sqrt(∑(x-xbar)²/n-1)=sqrt(209.43/6)=5.91
(1) QS bisecting <PQR implies <PQS = <SQR
(2) <PQS=45 deg and (1) imply <SQR also = 45 deg
(3) from (2) it follows that <PQR = <PQS + <SQR = 45 + 45 deg = 90 deg and therefore the triangle is right-angled
