It depend upon what you roll it could be 6 because there are 6 faces are the dice
Answer:
1) either 5 or 6 students in the group
2) 6 rooms are booked
Step-by-step explanation:
1) x students
3x + 8 = apples
5 (x-1) + y (the one get less than 5 apples)
3x + 8 = 5 (x - 1) + y
3x + 8 = 5x - 5 + y
2x + y = 13
X 1 2 3 4 5 6
Y 11 9 7 5 3 1
because y < 5 so x = 5 or x = 6
2) x rooms are booked
4x + 20 total students
8 (x-1) + y (the students in room not full))
4x + 20 = 8 (x-1) + y
4x + 20 = 8x - 8 + y
4x + y = 28
X 1 2 3 4 5 6
Y 24 20 16 12 8 4
y < 8 answer is 6 rooms
Answer:
Yes, the value 1411.8 cm³ is significantly high.
Step-by-step explanation:
Consider the provided information.
The brain volumes (cm cubed) of 20 brains have a mean of 1111.2 cm cubed and a standard deviation of 125.3 cm cubed.
The range rule of thumb to identify the limits separating values that are significantly low or significantly high is:
The range rule of thumb identifying significant values are as.
Significantly low values are μ-2σ
Substitute the μ = 1111.2 and σ = 125.3 in above formula.
1111.2-2(125.3)=860.6
Significantly high values are μ+2σ
Substitute the μ = 1111.2 and σ = 125.3 in above formula.
1111.2+2(125.3)=1361.8
The value is significantly high due to the value 1411.8 cm³ is not lie between the values 860.6 cm³ and 1361.8 cm³.
Hence, Yes, the value 1411.8 cm³ is significantly high.
Answer:
2/3
Step-by-step explanation:
3y = 2x
Divide each side by 3
3y/3 = 2x/3
y = 2/3 x
The direct variation relationship is
y = kx
In this case k = 2/3
Answer:
3 hours
Step-by-step explanation:
speed of Bharat = 12kilometers / hour
speed of Ingrid=14 kilometers / hour
For this problem we'll be using formula relating time, distance and speed.i.e
Distance = speed x time
Suppose Bharat is riding at a distance of 'b' kilometers, therefore time taken by him will be:
Time = distance/ speed
Time= b/12 hours.
Also, Ingrid can ride the distance at this time with speed of 14km/hr
The distance would be,
Distance = speed x time
Distance = 14 x (b/12) => 14b/12
Distance= 7b/6
Let '
' be the distance that Bharat have covered after time 't'
therefore, = 12 x t
Let '
' be the distance that Ingrid have covered after time 't'
therefore, = 14 x t
In order to find the time when they are 78 kilometers apart, we will add and , because they are travelling in opposite direction creating distance between them.
So,
+ = 78
( 14 x t) + (12 x t) =78
14t + 12t =78
26t= 78
t= 78/26
t= 3hours.
thus, it will take 3 hours until they are 78 kilometers apart
