Answer:
y = 1/6x -4
Step-by-step explanation:
First find the slope
m= ( y2-y1)/(x2-x1)
m=(-5 - -3)/( -6 -6)
= (-5+3)/ (-6-6)
= -2/-12
= 1/6
The slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = 1/6 x +b
Substitute a point into the equation
-5 = 1/6(-6) +b
-5 = -1+b
Add 1 to each side
-4 = b
y = 1/6x -4
Answer:
6.25%
Step-by-step explanation:
To know the final probability that this has happened, we must multiply the probability of each event, they tell us that the probability that it is a girl is 1/2 and this happened 4 times, therefore:
(1/2) ^ 4 = 0.0625
that is, the probability that 4 girls are born is 6.25%
an unusual probability is considered when it is less than 5%, therefore, although it approaches this figure, it is not unusual
I am thinking is C but I am still not sure
Answer:
Step-by-step explanation:
Diameter of cone=14 cm
so, Radius of cone= 7cm
Height of cone= 8cm
∴ Volume of cone= 1/3*pi*r^2*h
=1/3*pi*49*8 cm^3
In Sphere, External Radius R=5cm
Let, Internal Radius = r
Volume of Sphere = External Volume- Internal Volume
= 4/3*pi*R^3-4/3*pi*r^3
=4/3*pi[R^3-r^3]
=4/3*pi[5^3-r^3]
But During Conversion Volume Remains Same
So, Volume of Sphere=Volume of Cone
4/3*pi[125-r^3]= 1/3*pi*49*8
4[125-r^3]=49*8
[125-r^3]=49*2
r^3=125-98
r^3=27
so, r =3 cm
Internal Radius= 3cm
So, Internal Diameter=3*2= 6cm
PLS MARK BRAINLIEST
Answer:
x= 3/2
Step-by-step explanation:
Given
-4 - 2/3x=-6
Carina adds 4 to both sides (Step 1) given
4-4 -2/3x= -6 + 4
<em>Solving </em>
-2/3x= -2
<u><em>This could be the next step.</em></u>
Now adding 2 to both sides again (Step 2)
2- 2/3x= -2 +2
Taking LCM (Step 3)
2x-3/x=0
Multiplying x on both sides (Step 4)
2x-3= 0
Adding 3 to both sides (Step 5)
2x-3 + 3= 0+3
2x= 3
Dividing both sides by 2 (Step 6)
2x/2= 3/2
<em>Solving</em>
x= 3/2= 1 1/2 or = 1.5