We can solve x through simple algebra.
x + 5 = 2
x = 2 - 5
x = -3
x - 10 = 22
x = 22 + 10
x = 12
x - 27 = 8 + 10
x - 27 = 18
x = 18 + 27
x = 45
-11 + x + (-48) = 25
-11 + (-48) + x = 25
-59 + x = 25
x = 25 + 59
x = 84
x - (-16) = 12 + 13
x + 16 = 25
x = 25 - 16
x = 9
Tip: As you can see, the number sign changes as they shift from left to right (ex. -59 to +59).
Answer:
(0.10,0.14)
Step-by-step explanation:
-Given the sample size is 150 and our proportion is 18.
-We first determine the proportion's probability:
-The interval estimate for the proportion is then calculated using the formula:
![CI=\hat p\pm MOE\\\\=0.12\pm 0.02\\\\=[0.10,0.14]](https://tex.z-dn.net/?f=CI%3D%5Chat%20p%5Cpm%20MOE%5C%5C%5C%5C%3D0.12%5Cpm%200.02%5C%5C%5C%5C%3D%5B0.10%2C0.14%5D)
Hence, the interval estimate is for the proportion (0.10,0.14)
16 or more books sold in a day will include two intervals from the given table:
a) 16 - 20 books sold.
Probability = 0.201
b) 21 - 25 books sold.
Probability = ?
Since the table gives the probability distribution, the sum of all the probabilities must be equal to 1. We are given the probabilities of 4 out 5 intervals. So in order to find the probability of the 5th interval (21-25) we can subtract the sum of probabilities of rest of the intervals from 1.
So, P(21 - 25) = 0.019
In order to find the probability of 16 or more books sold we need to sum the probabilities of both these intervals.
So, the probability of 16 or more books being sold on a given day = 0.201 + 0.019 = 0.220
To simplify a fraction (reduce it to lowest terms), you divide
the numerator and denominator both by their greatest common
factor. (That's why you learn 'greatest common factor' before
you learn to simplify fractions.)
The greatest common factor of 36 and 80 is 4 .
Divide the top and bottom of 36/80 by 4, and you'll have the
fraction in lowest terms.
