Answer:
0.938
Step-by-step explanation:
From the question :
p = 0.14
Number of children, n = 7
P(x ≤ 2) = P(2) + P(1) + P(0)
Using binomial probability :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
We could also use the binomial probability calculator :
P(x ≤ 2) = 0.3479 + 0.3965 + 0.1936
P(x ≤ 2) = 0.938
It will be 55 because I use this for my class
(3.6*100)/6=60
(1.8*100)/6=30
60*30=1800
there are 1800 pictures could fit on the wall.
1. It
takes 8 x 4 x 15 cubes, or 480 cubes with side lengths of ¼ inch. The
volume of the right rectangular prism is 480/64 = 7 ½ cubic inches or 2 x
1 x 3 ¾ = 7 ½ cubic inches.
2. It
takes 3 x 1 x 8 cubes, or 24 cubes with side lengths of ½ inch. The
volume of the right rectangular prism is 24/8 = 3 cubic inches or 1 ½ x ½
x 4 = 3 cubic inches.
3. It
takes 9 x 3 x 4 cubes, or 108 cubes with side lengths of ½ inch. The
volume of the right rectangular prism is 108/8 = 13 ½ cubic inches or 4 ½
x 1 1/2 x 2 = 13 1/2 cubic inches.
4. It
takes 3 x 2 x 8 cubes, or 48 cubes with side lengths of ¼ inch. The
volume of the right rectangular prism is 48/64 = ¾ cubic inches or ¾ x ½
x 2 = ¾ cubic inches.
5. It
takes 5 x 7 x 8 cubes, or 280 cubes with side lengths of ½ inch. The
volume of the right rectnagular prism is 280/8 = 35 cubic inches or 2 ½ x
3 ½ x 4 = 35 cubic inches.
Answer:
The correct answer is z = -6.
Step-by-step explanation:
1/3 (2z + 6) = 1/4 (z - 2)
The first step I am going to take is to multiply both sides of the equation by 12 (the least common multiple of 3 and 4). This will eliminate the fractions on both sides of the equations and make the numbers much easier to work with.
4 (2z + 6) = 3 (z - 2)
Next, we can use the distributive property to eliminate the parentheses. This means multiplying each term inside the parentheses by the coefficient on the outside of the parentheses.
8z + 24 = 3z - 6
Now, we can subtract 3z from both sides of the equation.
5z + 24 = - 6
Next, we should subtract 24 from both sides of the equation.
5z = -30
Finally, we can divide both sides of the equation by 5.
z = -6
Therefore, the correct answer is z = -6.
Hope this helps!
