this data is normally distributed. what percent of the data is in the shaded region 68% 50% 95% 99.7%
Answers
As per the empirical rule, the percent of data in the shaded region is 68%.
In statistics, the empirical rule states that When you use a standard normal distribution also known as Gaussian Distribution we have to consider the following
=> Around 68% of values fall within one standard deviation of the mean.
=> Around 95% of the values fall within two standard deviations from the mean.
=> Other all of the values are about 99.7% that fall within three standard deviations from the mean.
Therefore, this facts are the 68 95 99.7 rule. And it is also called the Empirical Rule because the rule originally came from observations.
Here we have given the the data is normally distributed. And we need to find the percent of data is in the shaded region.
While we looking into the following diagram and according to empirical rule,68% of the data falls within one standard deviation of the mean.
Because, the center part is the shaded region,
So, it can be calculated as,
=> 34 + 34 = 68%
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Related Questions
Find a polynomial function of degree 3 such that f(0)=17 and the square root of f(x) are 0,5 and 8
Answers
Answer:
f(x)=x^3 - 13x^2 + 40x + 17
Step-by-step explanation:
x-0=0 x-5=0 x-8=0
x=0 x=5 x=8
y=x(x-5)(x-8)+b ==> b is what's going to be used to find the equation so that
y=17 when x=0
17=0(0-5)(0-8)+b ==> plugin 0 for x and 17 for y
17=0*(-5)*(-8)+b ==> simplify
17=0+b ==> anything multiplied by 0 is 0.
b=17
Hence, the equation is:
y=x(x-5)(x-8)+17 ==> expand this equation
y=x*(x-5)(x-8) + 17
y=x*(x(x - 8) - 5(x - 8)) + 17 ==> distribute x-8 to x and -5
y=x*(x*x - 8x - 5x - (8)(-5)) + 17 ==> distribution property
y=x*(x^2 - 13x - (-40)) + 17 ==> simplify
y=x*(x^2 - 13x + 40) + 17 ==> subtracting a negative number is equivalent to
adding a positive number
y=x^3 - 13x^2 + 40x + 17 ==> multiply x with x^2, 13x, and 40 using the
distribution property.
Answer: f(x)=x^3 - 13x^2 + 40x + 17
Answer: Okay, lets explain.
Step-by-step explanation:Since 0, 5 & 8 are given as the zeros of the required 3rd degree polynomial f(x), therefore, one may take it as ; f(x) =k (x-0)(x-5)(x-8)
= k(x³−13x²+40) …. .. .(1) . Since f(10) = 17 (given), it implies 17 = k(1000 -1300 + 400) = 100 ==> k = 17/100 = 0.17 . Put this value of k in eq(1) and get the required polynomial.
Your cell phone plan costs $24.99 per month plus $0.16 for each text message you send or receive. You have at most $30 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next month?
Please use an inequality equation
Answers
Answer:
Step-by-step explanation:
ok
what is the derivative of 2x X 5x to the 5th power?
Answers
The answer is 0because the second derivative will make it 1
Answer:
Below
Step-by-step explanation:
(2x * 5x)^5 = (10x^2)^5 = 100 000 x^10
derivative is 1 000 000 x^9
An assumption made about the value of a population parameter is called a A. confidence
B. hypothesis
C. significance D. normal curve
Answers
An assumption made about the value of a population parameter is called a hypothesis.
What is null hypothesis?
In inferential statistics, the null hypothesis is that 2 possibilities are an equivalent. The null hypothesis is that the determined distinction is because of likelihood alone. mistreatment applied mathematics tests, it's doable to calculate the chance that the null hypothesis is true.
Main Body:
As we need to make an assumption about population , it could be done by using a hypothesis test. so , the incorrect options are identified below:
The confidence, significance and normal curve cannot be used to make the assumptions about the value of a population parameter.
Hence , An assumption made about the value of a population parameter is called a hypothesis.
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Ximena needs to order some new supplies for the restaurant where she works. The restaurant needs at least 333 spoons. There are currently 255 spoons. If each set on sale contains 6 spoons, which inequality can be used to determine ss, the minimum number of sets of spoons Ximena should buy?
Answers
In linear equation, Joshua should buy is 255 + 6s ≥ 333.
What is linear equation in math?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Let the sets of spoons be represented by s
The restaurant needs at least 333 spoons.
Each set on sale contains 8 spoons
There are currently 333 spoons.
At least as an inequality is ≥
Hence:
255 + 6 × s ≥ 333
255 + 6s ≥ 333
Therefore, inequality tha can be used to determine s the minimum number of sets of spoons Joshua should buy is
255 + 6s ≥ 333
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A well-mixed cookie dough will produce cookies with a mean of 7 chocolate chips apiece. What is the probability of getting a cookie with no more than 4 chips? Round
your answer to four decimal places
Answers
Answer:
I have solved this on Paper and attached an image in the explanation part!
Step-by-step explanation:
Brianna is working two summer jobs, making $16 per hour lifeguarding and $11 per hour tutoring. Brianna must earn no less than $130 this week. Write an inequality that would represent the possible values for the number of hours lifeguarding, ll, and the number of hours tutoring, tt, that Brianna can work in a given week.
Answers
16h + 11t ≥ 130
16*5=80, 16*4=64
11*5=55, 11*6=66
80x+55y>130
64x+66y>130
The possible values for the number of hours lifeguarding, is 5,4 hours and the number of hours tutoring, is 5,6 hours that Brianna can work in a given week.
What does a mathematical inequality equation mean?In Algebra, an inequality is a mathematical statement that uses the inequality symbol to depict the relationship between two expressions. An inequality sign has non-equal expressions on both sides.
Write an inequality equation in what format?Use these steps to resolve an inequality: Eliminate fractions in Step 1 by multiplying all terms by the total fractions' lowest common denominator. On both sides of the inequality, combine like phrases to simplify in Step 2. To get the unknown on one side and the numbers on the other, add or subtract the appropriate amounts.
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Which statement explains how the lines x + y = 2 and y = x + 4 are related? (1 point)
Answers
The product of the slope of the lines is negative 1. Then both lines are perpendicular to each other.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equations are given below.
x + y = 2 ...1
y = x + 4 ...2
The slope of the first line is -1 and the slope of the second line is 1.
The product of the slope of the lines is negative 1. Then both lines are perpendicular to each other.
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g neptunium-239 has a half-life of 2.35 days. how many days must elapse for a sample of 239np to decay to 0.100% of its original quantity? 0.0427 days 1.491 days 2.04 days 23.4 days
Answers
23.5 days must elapse for a sample of 239np to decay to 0.100% of its original quantity.
Given is the equation for radioactive decay.
N equals N0exp(-λt). We have to determine the λ decay constant.
λ= -(lnN/N0)/t where t = Neptunium-239's half-life, 2.35 days,
and N/N0 = 1/2 where N = Amount of Neptunium-239 after half-life,
and N0 = Amount of Neptunium-239 at the beginning.
Consequently,
λ = (-ln(1/2))/2.35 = 0.294/day.
Neptunium-239 will now degrade to 0.100% of its original value.
N/N₀ × 100 % = 0.100%
N/N₀ = 0.100/100
N/N₀ = 0.001
We calculate the time it takes for Neptunium-239 to decay to this value using the equation for radioactive decay. Making t the formula's subject,
-(lnN/N0)/ = -(ln(0.001))/0.294/day.= 23.5 days
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Remata it’s 3 more than 6 times as old as her daughter Isabella. The sumo their ages is 38. What are Renata and Isabella’s ages, respectively.
Answers
Answer:
The answer to you question is 18 and 20
18 and 20
What is the volume of a box that is 14 inches long,7 inches wide, and 10 inches high?
Answers
Answer:
The volume equals 980
Step-by-step explanation:
Volume = L x W x H
14 x 7 x 10 = 980
27. The histograms show the results of three simulations of a sampling distribution of a sample mean. For each simulation, 1,500 samples of size n were selected from the same population and the sample mean was recorded. The value of n was different for each of the three simulations Graph C Graph B Graph A 200 Sample Means h of the following is the correct ordering of the graphs from least value of n to greatest value of n? 200 200 0 Sample Means Sample Means A A, C, B (B) B. A, C (C) B. C, A (D) C. A, B (E) C, B, A
Previous question
Answers
The correct ordering of the graphs from least value of n to greatest value of n is A, B, C.
The three graphs, A, B, and C, represent the results of three simulations of a sampling distribution of a sample mean. Graph A has a value of n of 200, Graph B has a value of n of 200 and Graph C has a value of n of 0. Thus, the correct ordering of the graphs from least value of n to greatest value of n is A, B, C. To understand this, it is important to note that as the value of n increases, the sample means will be more representative of the population. Therefore, Graph A with the lowest value of n would have the least representative sample means, followed by Graph B and Graph C with the highest value of n having the most representative sample means.
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How do you find how many times greater something is in scientific notation
Answers
Answer: The number it is a power too
To determine how many times greater something is in scientific notation, you need to compare the exponents of the numbers and calculate the ratio between them.
In scientific notation, a number is expressed as the product of a coefficient (a decimal number between 1 and 10) and a power of 10. The exponent represents the number of places the decimal point has been moved.
To find how many times greater one number is than another, you compare the exponents of the powers of 10. If the exponent of the first number is n and the exponent of the second number is ᵃ, you can calculate the ratio by dividing 10ⁿ by 10ᵃ.
The result of this division will give you the factor by which the first number is greater than the second number. For example, if the result is 100, it means the first number is 100 times greater than the second number.
In summary, to determine how many times greater something is in scientific notation, compare the exponents of the powers of 10 and calculate the ratio between them.
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