The mean weight of an adult is 6565 kilograms with a standard deviation of 1313 kilograms. If 9292 adults are randomly selected, what is the probability that the sample mean would be greater than 62.762.7 kilograms

Answers

Answer 1

Answer: 0.9554

Step-by-step explanation:

Let \(\overline{X}\) be the sample mean.

Given: Mean weight\((\mu)\) of an adult is 65 kilograms with a standard deviation\((\sigma)\) of 13 kilograms.

Sample space = 92

The probability that the sample mean would be greater than 62.7 kilograms:

\(P(\overline{X}>62.7)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{62.7-65}{\dfrac{13}{\sqrt{92}}})\\\\=P(Z>-1.70)\\\\=P(Z<1.70)\ \ \ \[P(Z>-z)=P(Z<z)]\\\\=0.9554\)[ By p-value table]

Hence, the required probability= 0.9554


Related Questions

Here are 6 celebrities with some of the highest net worths (in millions of dollars) in a recent year: George Lucas (5500).

Steven Spielberg (3700), Oprah Winfrey (3200), Paul McCartney (1200), J. K. Rowling (1000), and Jerry Seinfeld (950)

Find the range, variance, and standard deviation for the sample data. What do the results tell us about the

population of all celebrities? Based on the nature of the amounts, what can be inferred about their precision?

What do the results tell us about the population of all the celebrities?

Answers

The range of this data set is quite large, ranging from $950 million to $5.5 billion.

Find the range, variance, and standard deviation for the sample data. What do the results tell us about the

population of all celebrities? Based on the nature of the amounts, what can be inferred about their precision?

What do the results tell us about the population of all the celebrities?

To find the range, variance, and standard deviation for this sample data, we can use the following formulas:

Range = maximum value - minimum value

Variance = sum of (each value minus the mean) squared, divided by the sample size

Standard deviation = the square root of the variance

Using these formulas, we can calculate the following:

\(Range = 5500 - 950 = 4550\)

\(Mean = (5500 + 3700 + 3200 + 1200 + 1000 + 950) / 6 = 2466.67\)

\(Variance = [(5500 - 2466.67)^2 + (3700 - 2466.67)^2 + (3200 - 2466.67)^2 + (1200 - 2466.67)^2 + (1000 - 2466.67)^2 + (950 - 2466.67)^2] / 5 = 3031191.11\)

\(Standard deviation = sqrt(3031191.11) = 1742.41\)

The range of this data set is quite large, ranging from $950 million to $5.5 billion. The variance and standard deviation are also quite large, indicating that there is a wide range of net worths among celebrities. These results suggest that the population of all celebrities likely has a large variation in net worth, with some celebrities being extremely wealthy and others having much lower net worths.

Given the nature of these amounts, it is likely that they are precise to the nearest million dollars. It is possible that the true net worths of these celebrities are slightly higher or lower than the reported values, but the reported values are likely accurate to within a few million dollars.

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Russell surveyed 16 students at his school and found that 4 of them planned to take orchestra as their next elective. If Russell surveys 12 more students, how many of them are probably planning on taking orchestra as an elective, based on past data?

Answers

Answer:3

Step-by-step explanation:

The probability that the number of students who take orchestra as an elective is 1/4 and the number of students who joined extra is 4

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that the number of students who take orchestra as an elective be represented as P

Now , the equation will be

The total number of students = 16 students

The number of students who opted for orchestra as elective = 4 students

So , the probability that the number of students who take orchestra as an elective P = number of students who opted for orchestra as elective / total number of students

Substituting the values in the equation , we get

The probability that the number of students who take orchestra as an elective P = 4/16

The probability that the number of students who take orchestra as an elective P = 1/4 = 25 %

Now , when the number of students = 16 + 12 = 28 students

The probability that the number of students who take orchestra as an elective P₁ = ( x + 4 ) / 28

Substituting the values in the equation , we get

1/4 = ( x + 4 ) / 28

Multiply by 28 on both sides of the equation , we get

x + 4 = 7

Subtracting 4 on both sides of the equation , we get

x = 3 students

So , the number of students who will take orchestra from the group of 12 students is 3 students

Hence , the probability is 1/4

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which of the following actions would cause alex's set of ordered pairs to no longer define a function?

Answers

Alex's set of ordered pairs would no longer define a function if any of the following actions were taken:

Adding a second ordered pair with the same first coordinate but a different second coordinateRemoving an ordered pair from the setModifying an ordered pair so that the first coordinate is different from its original valueReordering the ordered pairs in the setChanging the domain or range of the function

A set of ordered pairs defines a function if, for every element in the domain (the set of first coordinates), there is exactly one element in the range (the set of second coordinates).

For example, if Alex's set of ordered pairs is {(1,2), (2,3), (3,4)}, it would no longer define a function if a new ordered pair of (2,5) is added to it, as it would mean that there are now two different second coordinates (3,5) for the first coordinate 2. This would violate the rule that every element in the domain must have exactly one corresponding element in the range. Similarly, removing one of the ordered pairs, changing the order of the ordered pair, or changing the domain or range would cause the set to no longer to define a function.

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The blank is a plot of paired data (x,y) and is helpful in degerming whether there is a relationship between the two variables 

Answers

Step-by-step explanation:

Scatter plot is the correct answer

WATER USAGE Each minute, 8.8 quarts of water flow from a shower. If the average person spends 8.2 minutes in the shower, how many gallons of water will the average person have used after taking five showers?

Answers

Answer:

33

Step-by-step explanation:

After taking five showers the total water uses will be 90.2 gallons.

How to convert gallons to quarts ?

To convert gallons to quarts we have to multiply the given gallons by 4.

According to the given question

Water usage in each minute is 8.8 quarts that flows from a shower.

We know 4 quarts is 1 gallon.

∴ 8.8 quarts is = 8.8/4 gallons.

= 2.2 gallons.

Given an average person spends 8.2 minutes in the shower.

∴ The total use of water will be (8.2 × 2.2) gallons which is

= 18.04 gallons.

So, After taking five showers the total uses of water will be'

= (5×18.04) gallons.

= 90.2 gallons.

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help ????????!???????????!???????

help ????????!???????????!???????

Answers

Answer:

1/8= 12.50

1/4 =250 apologize for not being able to answer the last one

Enter the number that belongs in the green box

Enter the number that belongs in the green box

Answers

The number that belongs in the green box using sine rule is 13.96.

What is sine rule?

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

SinA/a = SinB/b.................. Equation 1

From the diagram,

Given:

A = 70°B = 61°b = 15a = x

Substitute these values into equation 1

Sin70°/15 = sin61°/x

Solve for x

x = (15×sin61°)/sin70°x = 13.96

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Multiply using FRACTION form. 4.4 x 3.2

Answers

Answer:

Step-by-step explanation:

let me know when you find it

Answer:

To multiply using fraction form, we can convert the decimal numbers to fractions and then multiply them together.

4.4 can be written as 44/10

3.2 can be written as 32/10

So the multiplication would be:

(44/10) * (32/10) = (4432)/(1010) = 1408/100

To simplify this fraction, we can divide the numerator and denominator by their greatest common factor which is 4, we get:

1408/100 = 352/25

So the product of 4.4 and 3.2 is 352/25 in fraction form.

What is 4,700,000 in scientific notation?

Answers

Answer:

4.7x10^6

Step-by-step explanation:

Scientific notation can not exceed the ones place so you multiply that by 10^6  (1,000,000) to get 4,700,000

Answer:

4.7 · 10⁶

Step-by-step explanation:

10⁶ = 1,000,000

4.7 · 1,000,000 = 4,700,000

Pls help! I'll mark u Brainleist!!!Look at the following bellow. Which of the following statements could be stepped in prove that vertical angles are congruent 1.

Pls help! I'll mark u Brainleist!!!Look at the following bellow. Which of the following statements could

Answers

A vertical angle is formed by two intersecting angles which are from the same pair. The result is that the angles formed are congruent

Hence, option 4 is the correct answer

PLEASEEEE HELPPP WITH THSI LLALST ONEEEE

PLEASEEEE HELPPP WITH THSI LLALST ONEEEE

Answers

Answer:

m∠AKD = 46°

Step-by-step explanation:

Answer:

<AKD = 46°

Step-by-step explanation:

Given,

Measure of <AKG = 133°

So,

<AKG = <AKD + <DKG (As both together combine to form one <AKG as shown)

=> 133° = <AKD + 87°

=> <AKD = 133° - 87°

=> <AKD = 46° (Ans)

Please help! And make sure to add a let statement!

Please help! And make sure to add a let statement!

Answers

Answer: See explanation

Step-by-step explanation:

1. Let the small number be x

Then, the bug number will be: x + 25

Therefore, x + x + 25 = 131

2x + 25 = 131

2x = 131 - 25

2x = 106

x = 106 / 2

x = 53

Small number= 53

Big number = x + 25 = 53 + 25 = 78

2. Let the small number be x

Then, the bug number will be: x + 14

x + x + 14 = 58

2x + 14 = 58

2x = 58 - 14

2x = 44

x = 44/2

x = 22

Small number = 22

Bug number = 22 + 14 = 36

The numbers are 22 and 36.

3. Let number of basketball sold be x

Therefore, number of football sold will be x+3.

Therefore, x + x + 3 = 27

2x + 3 = 27

2x = 27 - 3

2x = 24

x = 24/2

x = 12

12 basketball were sold

Number of footballs sold = 12 + 3 = 15

4. Let calories in bowl of soup x

Hamburger = 2 × x = 2x

Therefore, x + 2x = 738

3x = 738

x = 738/3

x = 246

There are 246 calories in bowl of soup

Calories in hamburgers = 246 × 2 = 492 calories

Can someone help me?

Can someone help me?

Answers

Answer:

hi I can't open the photo

The answer is “no.” The distributive property works only for products of sums or differences.

I've been stuck on this for awhile​

I've been stuck on this for awhile

Answers

Answer:

B) $3.56

Step-by-step explanation:

The price of one egg: $1.69

The price of a slice of bacon: $1.49

The price of a glass of orange juice: $1.09

Sara buys 2 eggs, 1 slice of bacon, and 1 glass of orange juice.

(2 eggs x $1.69) + (1 bacon x $1.49) + (1 glass of oj x $1.09) =

($3.38) + ($1.49) + ($1.09) = $5.96

Next, add the total gotten with the sales tax.

Sales tax: $0.48

$5.96 + 0.48 = $6.44

Then, subtract the total from the $10 that she used to pay:

$10 - 6.44 = $3.56

B) $3.56 is your answer.

~

Answer:

3.56

Step-by-step explanation:

because first, you 1.69$ dollars 2 times since your ordering it 2 times which gets you 3.38 $ next you add 1.49$ dollars because that's what a slice of bacon cost, then add1.09 since that's what a cup of orange juice cost. Then add  0.48 cents because that's the sale tax, at the end when you add everything up you get 6.44$ then subtract that from 10.00, then you get your answer!

find the area…………………………….

find the area.

Answers

Area of the parallelogram equals to a*h, where a is the length of its side and h is the length of a height drawn to that side. In this case, we know all its sides, but we don't know height to the side 23.2, so we can't use it.

S = 18 * 21 = 378 (in²).

[
A composite figure has three congruent triangles removed from it.
8 ft
8 ft
16 ft
16 ft
What is the area of the shaded region?

[A composite figure has three congruent triangles removed from it.8 ft8 ft16 ft16 ftWhat is the area

Answers

Check the picture below.

so we know the squares when filled up have an area of 8x8 = 64 ft² each, or namely 3*64 = 192 ft² total.

now, if we hollow out each square by removing a triangle from it that has a base of 8 and an height of 8, since area of a triangle is (1/2)bh, then the area we removed from each square is (1/2)8*8 = 32 ft², three times that is 96ft².

so if we from the total filled up square of 192 subtract the total area of the triangles or 96, we'd end up with the shaded area of 192 - 96 = 96 ft².

[A composite figure has three congruent triangles removed from it.8 ft8 ft16 ft16 ftWhat is the area

I need help as soon as possible please!!!!

I need help as soon as possible please!!!!

Answers

Answer:

Which grade math is this? I haven't learned it

One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive

Answers

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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AP TEST QUESTION 1
PLEASE HELP
ILL GIVE BRAINLIST ANSWER
IMAGE ABOVE

AP TEST QUESTION 1 PLEASE HELPILL GIVE BRAINLIST ANSWER IMAGE ABOVE

Answers

On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

What is graphs?

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x).

\(lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5\)

from the graphs n f (x) and g( x) are 1 and 5 .

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The population of a town is predicted to grow according to the following model:
P = 15e0.012r
where P represents the number of people in thousands and t is the number of years since 2020. Find
the predicted population in the year 2030. Round your answer to nearest person
O 16,912 people
O 16,913 people
O 16 people
O 17 people

Answers

The predicted population in the year 2030 is 10 people

How to determine the predicted population in the year 2030

From the question, we have the following parameters that can be used in our computation:

Population function, P(t)= 15е⁻⁰.⁰¹²⁺

Also from the question, we have

The variable t represents the number of years since 2020

This means that the value of t in 2030 is

t = 2030 - 2020

t = 10

So, we have

P(10)= 15е⁻⁰.⁰¹² ˣ ¹⁰

Evaluate the above products

P(10)= 15е⁻⁰.¹²

Evaluate the exponents

P(10)= 13.30

Approximate the above expression

P(10) = 13

This means that the number of people is 13

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At Beast Island Pizza, every pizza comes with cheese and tomato sauce. Beast Island Pizza offers four toppings: Pepperoni, sausage, mushrooms, and onions. Customers can add any number of toppings to a pizza, but Beast Island Pizza does not let customers double up on toppings or add extra cheese to a pizza.

In how many different ways could a customer order a pizza?

Answers

Answer:

16 different combos

Step-by-step explanation:

0 toppings = 1

1 topping =  4 ways

2 toppings =   4 c 2 =  6 ways

3 topping   =  4 c 3 =  4 ways

4 toppings    = 1 way

The total number of ways a customer can order a pizza is given by combination and the value of C = 16 ways

What are Combinations?

The number of ways of selecting r objects from n unlike objects is:

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the number of ways a customer can order a pizza be C

Now , the number of toppings = { Pepperoni, sausage, mushrooms, and onions }

The number of toppings = 4

So , the number of ways is given by combination , where

ⁿCₓ = n! / ( ( n - x )! x! )

Substitute the value of x = 0 , 1 , 2 , 3 , 4

C = ⁴C₀ + ⁴C₁ + ⁴C₂ + ⁴C₃ + ⁴C₄

On simplifying the equation , we get

C = 1 + 4 + 6 + 4 + 1

C = 16 ways

Therefore , the number of ways is 16 ways

Hence , the value of the combination is C = 16 ways

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How many times can 1/5 go into nine

Answers

Answer:

1.8

Step-by-step explanation:

please help me with this question thank you

please help me with this question thank you

Answers

The absolute maximum is 7

4. Compute the unadjusted cost of goods sold for the year. Do not include any underapplied or overapplied overhead in your answer.
5. Assume that the $70,000 ending balance in Work in Process includes $24,000 of direct materials. Given this assumption, supply the information missing below:

Answers

The unadjusted cost of goods sold for the year is calculated by subtracting the ending inventory from the sum of beginning inventory and purchases. The formula is as follows:

Unadjusted Cost of Goods Sold = Beginning Inventory + Purchases - Ending Inventory

Without knowing the values for beginning inventory, purchases, and ending inventory, we cannot compute the unadjusted cost of goods sold for the year.

5. Given that the $70,000 ending balance in Work in Process includes $24,000 of direct materials, we can calculate the missing information as follows:

Direct Labor = Total Work in Process - Direct Materials - Overhead
Direct Labor = $70,000 - $24,000 - Overhead

Without knowing the value for overhead, we cannot compute the direct labor cost. However, we can rearrange the formula to solve for overhead:

Overhead = Total Work in Process - Direct Materials - Direct Labor
Overhead = $70,000 - $24,000 - Direct Labor

Without knowing the value for direct labor, we cannot compute the overhead cost.

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Please help me idk what to do *GEOMETRY finding angles*

Please help me idk what to do *GEOMETRY finding angles*

Answers

Answer:

69

Step-by-step explanation:

First, find the angle FCB by subtracting 70 and 41 from 180. You should get 69. Then, because it says AD paralell EG, you could use the transversal FC to locate some angles. Fortunately, GFC and FCB are opposite interior angles, meaning they are equal in angle measure.

16 .Write an equation that represents the statement
below.
"Twelve less than a number, x, is 18."

Answers

Answer:

x-12=18

Step-by-step explanation:

Answer: if X = 30, then the equation is 30 - 12 = 18

Given an equation in point-slope form, explain how to determine the coordinates of its y-intercept.
Given an equation or graph of a line, describe how to write an equation of a parallel line that goes through a given point.
Given an equation or graph of a line, describe how to write an equation of a perpendicular line that goes through a given point.

IF POSSIBLE ANSWER ALL 3, BUT IF YOU ONLY KNOW ONE FEEL FREE TO ANSWER ONLY ONE. WILL GIVE BRAINLIEST

Answers

Hi there!

Given an equation in point-slope form, explain how to determine the coordinates of its y-intercept.

The y-intercept of a line occurs when x=0. Replace x with 0 in the equation and solve for y to find the y-intercept.

Given an equation or graph of a line, describe how to write an equation of a parallel line that goes through a given point.

Determine the slope of the line. In slope-intercept form \(y=mx+b\), the slope would be \(m\), and in point-slope form \(y-y_1=m(x-x_1)\), the slope would be \(m\) as well. Given a graph, it would be necessary to solve for the slope. Find two points and plug them into the equation \(m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1}}\) as \((x_1,y_1)\) and \((x_2,y_2)\) to solve for the slope.Parallel lines always have the same slope. Now that we've just solved for the slope, plug it into \(y=mx+b\).Now, all that's left to solve in the equation is \(b\). Plug the given point into \(y=mx+b\) along with the slope and solve for \(b\).Plug both the slope and y-intercept back into \(y=mx+b\) to achieve the final equation.

Given an equation or graph of a line, describe how to write an equation of a perpendicular line that goes through a given point.

Determine the slope of the line.Perpendicular lines always have slopes that are negative reciprocals. To determine the slope of a perpendicular line, take the slope from step 1 and find its negative reciprocal. For example, the negative reciprocal of 2 is -1/2. Plug this slope into \(y=mx+b\).Now, all that's left to solve in the equation is \(b\). Plug the given point into \(y=mx+b\) along with the slope and solve for \(b\).Plug both the slope and the y-intercept back into \(y=mx+b\) to achieve the final equation.

I hope this helps!

which of the following refers to the scenario in which the relationship between the dependent variable and one independent variable is different at different values of a second independent variable?a. Autocorrelation b. Covariance c. Interaction d. Multicollinearity

Answers

The scenario in which the relationship between the dependent variable and one independent variable is different at different values of a second independent variable is called interaction. The correct answer is C.

Interaction refers to the scenario in which the relationship between the dependent variable and one independent variable is different at different values of a second independent variable. In other words, interaction occurs when the effect of one independent variable on the dependent variable depends on the level of another independent variable.

This can be represented in an interaction plot, where the lines representing the relationship between the dependent variable and one independent variable have different slopes at different levels of the second independent variable.

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What is the y-intercept in the equation 2y = x -8

Answers

Answer:

(0,-4)

Step-by-step explanation:

what is 1 ??........?

what is 1 ??........?

Answers

Answer:

b

Step-by-step explanation:

Answer:

1 is 1

Step-by-step explanation:

what is 1 ??........?
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