Answer:
D. 21/2
Step-by-step explanation:
We simply have to evaluate the first three terms based on the progression's formula:
t= 1, the first term is 8, as we see:

t=2, the second term is 2, as we see:

t=3, the third term is 1/2, as we see:

The sum of the first 3 terms is then: 8 + 2 + 1/2 = 10 1/2
Among the answer choices, D. 21/2, which is 10 1/2.
Using the normal distribution, it is found that the correct option is:
- P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- Mean of 20 ounces, hence
.
- Standard deviation of 2.3 ounces, hence

P(Y < 16) is the <u>p-value of Z when X = 16</u>, hence:



has a p-value of 0.041.
This is valid for the entire population, hence, the correct interpretation is:
- P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces
A similar problem is given at brainly.com/question/24663213
-5, -4, 0, 2, 3. From smallest to largest
Answer:
Step-by-step explanation:
To find the amount deposited, we will simply use the formula for calculating simple interest.
Simple Interest = pxrxt/100 (fraction)
Where p = principal
R= Rate
T= Time
Principal is the initial amount deposited which we are ask to find.
R is given to be 6% and T is the time which is given in years
Simple interest is the interest earned over the year which is given to be $400
Lets substitute our variable into the equation
Simple Interest = pxrxt/100 (fraction)
$400 = P × 6 × 3 / 100
$400 = 18p/100 (fraction)
We will then cross multiply
$40 000 = 18 P
To get the value of P, we divide both-side of the equation by 18
4000/18 = 18p/18 (fractions)
$2222.22 = P
P = $2222.22
credits: ummuabdallah
Answer:
In mathematics rational means "ratio like." So a rational number is one that can be written as the ratio of two integers. For example 3=3/1, −17, and 2/3 are rational numbers. ... The rational numbers are those which have repeating decimal expansions (for example 1/11=0.09090909..., and 1=1.000000...
Step-by-step explanation::P