josecano2
29.08.2019 •
Mathematics
Ky has 3 times more books than grant grant has 6 fewer books than jaime if the total combined number of books is 176 how many books does jaime have?
Solved
Show answers
More tips
- H Health and Medicine Where is the appendix located?...
- S Style and Beauty How to Properly Tie a Tie: 5 Simple Steps...
- L Leisure and Entertainment How to Make a Crab Trap in Just a Few Minutes...
- H Health and Medicine How Much Does Abortion Cost? Expert Answers and Insights...
- S Sport How to Build Arm Muscles? Effective Exercises and Tips...
- H Health and Medicine When can it be said that a person has a normal pulse?...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
- H Health and Medicine How to perform artificial respiration?...
Answers on questions: Mathematics
- M Mathematics How do i Know when to multiply...
- M Mathematics Question 1: Penalty Kicks and Mixed Strategies Economist Ignacio Palacios-Huerta analyzed 1,417 penalty kicks during five years of professional soccer matches in Europe. The...
- M Mathematics One criticism of reading comprehension tests is that while they may measure reading comprehension, they also measure other factors not related to reading comprehension. A reading...
- M Mathematics On a number line, which fraction is to the right of 3/5 ? A) 1/8 B) 3/12 C) 6/10 D) 3/4...
- M Mathematics Six times a number is greater than 20 more than that number. What 7744 r...
- M Mathematics Show that each of these conditional statements is a tautology by using truth tables. a) [¬p ∧ (p ∨ q)] → q b) [(p → q) ∧ (q → r)] → (p → r) c) [p ∧ (p → q)] → q d) [(p ∨ q)...
- M Mathematics The figure shown consists of a rectangle and a parallelogram. Find the area of the entire figure....
- M Mathematics Dne solution to a quadratic function, f, is given below. V7 + 5i Which of the following statements is true about the given function?...
- M Mathematics Which is the correct simplification of Start Fraction 5.4 times 10 superscript 12 baseline Over 1.2 times 10 superscript 3 baseline End Fraction written in scientific notation?...
- M Mathematics Convert 225° to radians. Keep the value in terms of u. What is the answer? Hint: To convert from degrees to radians, multiply by 10° 3pi/2 5pi/4 3pi/4 Pi...
Ответ:
Set up the equation
x+(x-6)+3(x-6)=176
x+x-6+3x-18=176
5x-24=176
5x=176+24
5x=200
x=40
Jamie has 40 books
Grant has 34
Ky has 102
Ответ:
0.9606 = 96.06% probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
Suppose 46% of politicians are lawyers.
This means that
Sample of size 662
This means that
Mean and standard deviation:
What is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%?
p-value of Z when X = 0.46 + 0.04 = 0.5 subtracted by the p-value of Z when X = 0.46 - 0.04 = 0.42. So
X = 0.5
By the Central Limit Theorem
has a p-value of 0.9803
X = 0.42
has a p-value of 0.0197
0.9803 - 0.0197 = 0.9606
0.9606 = 96.06% probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%