Answer:
20%
Step-by-step explanation:
40 pieces total
32 pieces eaten
40 - 32 = 8
8 pieces not eaten
Percentage = (part / whole) x 100%
Percentage = (8 / 40) x 100% = 0.2 x 100%
Percentage = 20%
Let's take an example to illustrate this case:
<span>positive fraction = 2/7
</span>
<span>negative fraction = - 3/5
Now we need to subtract </span><span>- 3/5 from 2/7
Right?
2/7 - (-3/5) = 2/7 + 3/5
here we need to unify the denominators as follows:
the lowest common factor between 7 and 5 is 35
2/7 = 10/35
3/5 = 21/35
Now back to </span><span>2/7 + 3/5:
</span><span><span>2/7 + 3/5 = 10/35 + 21/35 = (10+21)/35 = 31/35
That's it
Hope that helps you</span>
</span>
-14, -2 and 0 opposite intergers
Answer:
Probability that at least 490 do not result in birth defects = 0.1076
Step-by-step explanation:
Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.
To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects
Proof -
Given that,
P(birth that result in a birth defect) = 1/33
P(birth that not result in a birth defect) = 1 - 1/33 = 32/33
Now,
Given that, n = 500
X = Number of birth that does not result in birth defects
Now,
P(X ≥ 490) =
=
+ .......+
= 0.04541 + ......+0.0000002079
= 0.1076
⇒Probability that at least 490 do not result in birth defects = 0.1076
The restrictions for the equation is that the denominator can not be zero. So the restrictions for x would be what values make the denominator zero.
7x^2 + 6x = 0
factor
x(7x + 6) = 0
multiply any number by 0 and you get 0. So either x = 0 or 7x+6 = 0
since there's a x in the numerator x/x = 1 so this will not be a restriction. Then the only restriction is:
7x+6 = 0
7x = -6
x = -6/7