9514 1404 393
Answer:
49 cm^2
Step-by-step explanation:
The shape is a 3 × 3 square on top of a 4 × 10 rectangle. The area of each rectangle is found by multiplying the dimensions.
Total Area = (3 cm)(3 cm) +(4 cm)(10 cm) = 9 cm^2 +40 cm^2
Total area = 49 cm^2
Answer:
30 red marbles
Step-by-step explanation:
If the ratio is 2 red marbles for every 5 blue marbles then you would add them together to find out how many marbles are in one group.
2+5=7
There are 7 marbles in each group.
Now we have to find out how many total groups there are by dividing the total amount of marbles by the amount in each group.
105÷7=15
There are 15 groups of 7 marbles.
Looking back at the ratio, we know that the 15 groups each have 2 red marbles and 5 blue marbles. So if there is 2 red marbles 15 times (2 marbles in 15 groups) we would multiply.
2×15=30
There are 30 red marbles.
I hope that makes sense.
Answer:
0.2611
Step-by-step explanation:
Given the following information :
Normal distribution:
Mean (m) length of time per call = 3.5 minutes
Standard deviation (sd) = 0.7 minutes
Probability that length of calls last between 3.5 and 4.0 minutes :
P(3.5 < x < 4):
Find z- score of 3.5:
z = (x - m) / sd
x = 3.5
z = (3.5 - 3.5) / 0.7 = 0
x = 4
z = (4.0 - 3.5) / 0.7 = 0.5 / 0.7 = 0.71
P(3.5 < x < 4) = P( 0 < z < 0.714)
From the z - distribution table :
0 = 0.500
0.71 = very close to 0.7611
(0.7611 - 0.5000) = 0.2611
P(3.5 < x < 4) = P( 0 < z < 0.714) = 0.2611
Answer:
The image points are given as;
I' ( -3,0 )
J'( 0,3 )
K'( 2,2)
L'(1,-1 )
Step-by-step explanation:
The object points has coordinates at;
I (5,0)
J(2,3)
K(0,2)
L(1,-1 )
The object points are reflected across line x= 1 to get image of objects points at ;
I' ( -3,0 )
J'( 0,3 )
K'( 2,2)
L'(1,-1 )
Attached is the graph for the object points and image points after reflection across x= 1