Answer:
the meaning of logarithm is a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.
Step-by-step explanation:
: )
Given that the recursive formula is:
an=an-1+7
first term is
a1=17
the second term will be:
a2=a(2-1)+7
a2=a1+7
a2=17+7
a2=24
To evaluate for the explicit formula we use the formula:
an=a+d(n-1)
where
a=first term
d=common difference
from the calculations above:
d=24-17=7
thus the explicit formula will be:
an=17+7(n-1)
an=17+7n-7
an=7n+17-7
an=7n+10
Answer: B] an=7n+10
Answer:
A=1/2(b×h)
divide a half by 12=6
6×4,since 4 is the height=24
Answer:
c. binomial distribution with n = 5 and p = 1/33.
Step-by-step explanation:
For each birth, there are only two possible outcomes. Either it results in a defect, or it does not. The probability of a birth resulting in a defect is independent of other births. So we use the binomial probability distrbution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
The proportion of American births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC).
This means that the probability of a birth resulting in a defect is
A local hospital randomly selects five births.
This means that
So the correct answer is:
c. binomial distribution with n = 5 and p = 1/33.
Answer:
w = -1/5
OR
w = -3
Step-by-step explanation:
Given equation:
−16w-3 = 5w²
Solution:
Subtracting 5w^2 from both sides,we get
- -16w-3-5w² = 5w² - 5w²
- -5w²-16w-3=0
Factor the LHS of this equation using middle term factor:
Now,
Solving for equation 1:
Solving for equation 2: