Using normal distribution we know that 7.78% of travelers reported spending less than $1,200 for a 12-day getaway.
What is a normal distribution?Asymmetric probability distribution about the mean, known as the normal distribution or the Gaussian distribution, would indicate that data close to the mean occur more frequently than data far from the mean.
The "bell curve" is a visual representation of the normal distribution.
Currently, in response to the query:
The z-score can be calculated using the formula:
z = (x - μ)/σ
It averages $1,755:
μ = $1,755
$390 is the standard deviation:
σ = 390
The trip doesn't cost more than $1200:
x = $1200
Replace the values in the z-score formula:
z-score = (1200 - 1,755)/390 = -1.42
Use the z-negative table's normal distribution:
P(z < 1,200) = 0.07782
P(x < 1,200) = P(z < 1,200)
P(x < 1,200) = 0.07782
P(x < 1,200) = 7.78%
Therefore, using normal distribution we know that 7.78% of travelers reported spending less than $1,200 for a 12-day getaway.
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Correct question:
If the data are normally distributed with a standard deviation of $390, find the percentage of vacationers who spent less than $1,200 per 12-day vacation. round to the nearest hundredth of a percent.
PLEASE HELP URGENTLY! SEE SCREENSHOT
Answer:
t= -3r
Step-by-step explanation:
why does increasing the concentraction of reactants increase the reaction rate
Increasing the concentration of reactants typically increases the reaction rate
What is the rate of reaction?
The rate of the reaction indicates the speed with which the reaction is completed or product is formed.
Increasing the concentration of reactants typically increases the reaction rate because it increases the frequency of collisions between the reactant molecules.
In a chemical reaction, the reactant molecules must collide with each other with sufficient energy and proper orientation for the reaction to occur. If the concentration of reactants is low, there will be fewer reactant molecules present in a given volume, and therefore, fewer collisions will occur. As a result, the reaction rate will be slower.
On the other hand, if the concentration of reactants is high, there will be more reactant molecules present in a given volume, and therefore, more collisions will occur. This increased frequency of collisions leads to a higher probability that reactant molecules will have sufficient energy and proper orientation to react, and thus, the reaction rate will be faster.
It's important to note that increasing the concentration of reactants will only increase the reaction rate up to a certain point. Beyond a certain concentration, the reaction rate will not increase further, as the reactant molecules will already be colliding with each other at a high enough frequency to produce the maximum possible reaction rate.
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Write a function in terms of t that represents the situation.
A stock valued at $100 decreases in value by 9.5% each year.
Y=
Answer:
100-0.095x
Step-by-step explanation:
a researcher wants to determine whether there is a significant linear relationship between time spent meditating and time spent studying. what is the appropriate null hypothesis for this study?
If the p-value is less than the chosen level of significance (usually 0.05), then the null hypothesis would be rejected in favor of the alternative hypothesis.
What is null hypothesis ?
A null hypothesis is a statement or assumption that there is no significant difference between two groups or no significant relationship between two variables.
The appropriate null hypothesis for this study would be that there is no significant linear relationship between time spent meditating and time spent studying. Symbolically, this can be written as:
H0: There is no significant correlation between time spent meditating and time spent studying.
The alternative hypothesis, in this case, would be that there is a significant linear relationship between the two variables, which is represented as:
Ha: There is a significant correlation between time spent meditating and time spent studying.
To test this hypothesis, the researcher could conduct a correlation analysis using statistical software, which would provide a correlation coefficient and a p-value.
Therefore, If the p-value is less than the chosen level of significance (usually 0.05), then the null hypothesis would be rejected in favor of the alternative hypothesis.
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what is 15 in a decimal?
The value of 15 percent after converted into decimal is given by 0.15.
Convert percent into decimal :
One percent represents the one part by converting it into hundred equal parts.
⇒ 1 percent = ( 1 / 100 ) part
⇒ 1 percent = ( 0.01 ) in decimals
Substitute the value of 15 percent to get it into decimals we get,
⇒ 15 percent = ( 15 ) × ( 0.01 ) in decimals
⇒ 15 percent = ( 15 × 0.01 ) decimals
⇒ 15 percent = ( 0.15 ) decimals
Therefore, after converting 15 percent into decimals it is equal to 0.15.
The above question is incomplete , the complete question is :
What is 15 percent in a decimal ?
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Please help I’ll give brainliest
Answer:-4x - 80z
10x^2=100-10z=90z -2x^2=4x-10z-90z
-90z
=--4x80z
Danielle and David will run in a marathon. Danielle’s running pace is 7 miles per hour, and David’s is 4 miles per hour. If they both start at the same point, how many minutes should it take Danielle to be 12
mile ahead of David?
It should take Danielle 4 hours, or 240 minutes (since 1 hour = 60 minutes), to be 12 miles ahead of David.
What is the relative velocity?
Relative velocity is the velocityof an object or a person with respect to another object or person. It is the rate at which one object is moving with respect to another object. In other words, relative velocityis the speed at which an object is moving relative to a reference point.
To answer this question, we can use the formula:
time = distance / relative speed
Here, we need to find the time it takes for Danielle to be 12 miles ahead of David. Let's assume that t is the time in hours it takes for Danielle to be 12 miles ahead of David.
During this time, Danielle would have covered 12 more miles than David. Therefore, the distance between Danielle and David will be 12 miles.
Relative speed between them can be calculated by subtracting David's speed from Danielle's speed, since they are running in the same direction. So, relative speed will be:
relative speed = Danielle's speed - David's speed
= 7 - 4
= 3 miles per hour
Now, we can substitute the values of distance and relative speed in the formula to find the time it takes for Danielle to be 12 miles ahead of David:
time = distance / relative speed
= 12 miles / (3 miles per hour)
= 4 hours
Hence, it should take Danielle 4 hours, or 240 minutes (since 1 hour = 60 minutes), to be 12 miles ahead of David.
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How to convert 941 schedule b?
Converting a 941 Schedule B can be broken down into a few simple steps are include the employee's names, Social Security numbers, and total wages paid during the pay period.
First, you'll need to gather all the necessary information required for the conversion process.
Once you have this information, you'll need to calculate the total amount of taxes withheld from each employee's paycheck. This is where mathematical calculations come into play. To calculate the tax withheld, you'll need to use the tax withholding tables provided by the IRS.
These tables will help you determine how much tax to withhold based on each employee's income and filing status. The total amount of tax withheld from each employee's paycheck is then added up to get the total amount of tax withheld for the entire pay period.
Finally, you'll need to transfer this information onto the 941 Schedule B. This document is used to report the total amount of tax withheld for each pay period, and it's essential that the information is accurate.
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What is a factor tree for 216?
The factor tree shows how 216 can be factored into its prime factors.
216 = [tex]2^3 \times 3^3[/tex]
In order to construct a factor tree for 216, we first identify any two of its components before further decomposing those factors into other factors until we arrive at the prime factorization. One potential factor tree for 216 is shown below:
216
/ \
6 36
/ \ / \
2 3 6 6
/ \ / \
1 3 2 3
Beginning with 216, we can see that it can be divided into two components of 6 and 36, making it divisible by 6. These factors are then further dissected until their prime factorizations are reached, which are:
6 = 2 x 3
36 = 2 x 2 x 3 x 3
We obtain the prime factorization of 216 by combining these prime factors:
216 = 2 x 2 x 2 x 3 x 3x 3
216 = [tex]2^3 \times 3^3[/tex].
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The graph linear function is shown on the coordinate grid what is the y-intercept of the graph of this function 4,8 -5 -7
The y-intercept of a linear function is the point at which the graph of the function crosses the y-axis. This point is represented by the coordinate (0, b), where b is the y-intercept.
In the given graph, we can see that the graph of the linear function crosses the y-axis at the point (0, -5). Therefore, the y-intercept of the graph of this function is -5.
To summarize, the y-intercept of the graph of this function is -5.
Answer: -5
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draw the front view, side view and the top view of the given figure.
To draw the different views of this figure we must simulate its rotation to see it from different angles. In the attached image are the different views.
How to draw the different views of this figure?To draw the different views of this figure we must take into account its shape. In this case we have a figure made up of four squares. Three of them are aligned and one of them is in the middle zone.
According to the above, to draw the views we must simulate rotations of this figure to establish its views. In the attached image are the views. In the top view you would only see two squares, in the front view you would see three squares and in the side view you would see all four squares.
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Hey circle has a diameter of 28 m what is the circumference use 3.14 for pie and do not round your answer be sure to include the unit in your answer 
Answer:
87.92 m
Step-by-step explanation:
Circumference = pi*diameter
3.14*28m = 87.92 m
if 'a' is the Geometric mean of 2 and 1/4 then find 'a'
The geometric mean of two numbers is the square root of their product. Hence, the geometric mean 'a' of 2 and 1/4 is approximately equal to 0.70710678118.
Finding the Geometric Mean of Two NumbersRecall that the geometric mean of two numbers is the square root of their product. This means that we need to multiply the two numbers (2 and 1/4) and then take the square root of the result.
Multiply 2 and 1/4:
2 × 1/4 = 1/2
Take the square root of the result:
a = √(1/2)
Simplify the square root:
a = √(1/2) = √(1)/√(2) = 1/√(2)
Rationalize the denominator by multiplying the top and bottom by √(2):
a = (1/√(2)) × (√(2)/√(2)) = √(2)/2
Approximate the result to a desired level of accuracy, if necessary. In this case, rounding to 11 decimal places gives:
a ≈ 0.70710678118
Therefore, the geometric mean 'a' of 2 and 1/4 is approximately equal to 0.70710678118
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The NCAA basketball tournament begins with 64
teams, and after each round, half the teams are
eliminated. The number of remaining teams t(n) is
an exponential function of the number n of rounds
already played.
The exponential function that defines the number of teams remaining after n rounds is given as follows:
y = 64(0.5)^x, 0 ≤ x ≤ 6.
How to define the exponential function?The standard definition of an exponential function is given as follows:
y = a(b)^x + c.
In which:
a is the value of y when x = 0.b is the rate of change.The initial number of teams is of 64, hence the parameter a is given as follows:
a = 64.
Each round, the number of teams is cut by half, as the losers of each game are eliminated, hence the parameter b is given as follows:
b = 0.5.
Hence the function is defined as follows:
y = 64(0.5)^x.
The domain is 0 ≤ x ≤ 6 as:
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Jon put a pie in the oven at 5:15 p.m. He took the pie out of the oven 35 minutes later. At what time did Jon take the pie out of the oven?
Answer: 5:50 PM
Step-by-step explanation:
5:15 PM + 0:35 minutes = 5:50 PM
Simplify, Rationalize the denominator.
[tex]\frac{9}{7+\sqrt{2} }[/tex]
Answer:
[tex]\frac{9(7-\sqrt{2}) }{47}[/tex]
Step-by-step explanation:
The average daily temperature in Peoria, Illinois, can be predicted.
Using the formula T=50−28cos[2π(x−31)365], where x is the number of the day in the year (January 1 = 1, Febuary 1=32, etc.) and T is in degrees Fahrenheit.
Question: What is the expected temperature on Febuary 15?
The expected temperature on February 15 would be 77.72 °F.
What is temperature?Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness.
Given is that the average daily temperature in Peoria, Illinois, can be predicted using the formula T = 50 - 28cos[2π(x−31)365], where {x} is the number of the day in the year.
The value of {x} for February 15 would be -
{x} = 46
So, we can write the temperature as -
T{46} = 50 - 28 cos[2π(46−31)365]
T{46} = 50 - 28 cos[2π x 15 x 365]
T{46} = 50 - 28 cos[2π x 15 x 365]
T{46} = 50 - 28 cos[34383]
T{46} = 50 - 28 x -0.99
T{46} = 77.72
Therefore, the expected temperature on February 15 would be 77.72 °F.
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the weights of a sample of three adult males are (in pounds) 160, 215, and 195. the standard error of the mean of these three weights is
Answer:
The mean is 190
Step-by-step explanation:
To solve this problem you need to add up the 3 weights (160,215 and 195) after doing so you should get 570 then to get the mean divide 570 by 3.
Time series graph
Matthew wants to use his trend line to predict the numbers of houses sold in wales in 2016 by extrapolation
Give a danger associated with using extrapolation when making predictions.
A danger that is associated with using extrapolation when making predictions is assuming that the underlying patterns will continue into the future.
What is a disadvantage of using extrapolation ?One danger of using extrapolation when making predictions is that it assumes that the underlying patterns observed in the data will continue into the future.
However, there may be external factors or other variables that are not accounted for in the data that could cause the patterns to change or break down. For example, if there is a major economic or political event that affects the housing market, the trend observed in previous data may not hold up in the future.
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what is limiting reactant calculator online
Limiting reagent calculator provides you the most reliable results in a fraction of seconds without any error that arises in the manual calculation.
A limiting reactant calculator online is a tool used to calculate the amount of reactant needed to produce a specific product. The calculator helps you determine the limiting reactant in a chemical reaction, which is the reactant that will be completely consumed in the reaction.
It does this by calculating the amount of reactant needed to produce the desired amount of product. Once the limiting reactant is known, the amount of excess reactant can be determined.
This calculator can be used to optimize chemical reactions, helping to maximize the amount of product produced while minimizing the amount of reactants used. This can help reduce costs and material waste.
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Jacob wants to purchase a new computer, but he does not have enough money in his bank account to pay for one. Which of these is not an option for Jacob?
Responses
He can buy the computer using cash once he has saved enough money. He can buy the computer using cash once he has saved enough money. He can purchase the computer now using his his debit card. He can purchase the computer now using his his debit card. He can purchase the computer now using his his credit card. He can purchase the computer now using his his credit card. He can put more money in his bank account and use his debit card to purchase the computer at a later date. He can put more money in his bank account and use his debit card to purchase the computer at a later date
The option that is not available to Jacob is: He can purchase the computer now using his debit card, even though he does not have enough money in his bank account to cover the cost.
Using a debit card requires that there are sufficient funds in the linked bank account to cover the transaction. If there is not enough money available, the transaction will be declined. Therefore, Jacob cannot purchase the computer using his debit card unless he has enough funds in his account. The other options, including saving up to purchase the computer with cash, using a credit card, or putting more money in his bank account to use his debit card at a later date, are all valid options for Jacob.
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how many pattern blocks trapezoids would create 1 hexagon
Answer: 2 trapezoids
Step-by-step explanation: so 1 trapezoid has the same angles and edges as a hexagon, you get 2 and put them together 1 upside one one forward side up, it makes a hexagon
how much is 140 lbs in kg
On converting the weight of 140 lbs to Kilogram , we get that 140 lbs is equivalent to 63.49 Kg .
The Conversion Factors is used to convert the weight between pounds and kilograms. that means : To convert 1 pound to kilograms , We multiply the number of pounds by 0.4535 .
In this case , we have to convert 140 pounds to kilograms ;
So , we multiply the given weight in pounds with 0.4535 .
On multiplying ,
We get ;
⇒ 140 pounds = 140 × 0.4535 Kg ;
⇒ 140 pounds = 63.49 Kg .
Therefore , 140 lbs is approximately equal to 63.49 Kg .
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The ratio if the sides of two similar triangles 2:3. The area of the smaller is triangle 36cm2(squared). Find the area of the larger triangle?
The requried area of the larger triangle is 81 cm².
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not greater than 180°.
Here,
When two triangles are similar, the ratio of their corresponding sides is the same, and the ratio of their areas is equal to the square of this side ratio.
In this case, the ratio of the sides of the larger triangle to the sides of the smaller triangle is 3/2 (since it is given that the ratio of the sides is 2:3). Therefore, the ratio of the areas of the larger triangle to the area of the smaller triangle is (3/2)² = 9/4.
Given that the area of the smaller triangle is 36 cm^2, we can use the area ratio to find the area of the larger triangle:
Area of larger triangle = (9/4) × (Area of smaller triangle)
= (9/4) × 36 cm²
= 81 cm²
Therefore, the area of the larger triangle is 81 cm².
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(please help quickly!!) A vertical number line is given.
A vertical number line starting at negative 4.5 with tick marks every one-half unit up to positive 4.5. The value of 1.75 is labeled.
The change in the value of a stock was plotted on a number line in the image. If 0 represents the original cost, which of the following is true about the plotted value?
The stock is 1.75 greater than the original value, and the absolute value is 1.75.
The stock is −1.75 greater than the original value, and the absolute value is 1.75.
The stock is 1.75 less than the original value, and the absolute value is 1.75.
The stock is −1.75 less than the original value, and the absolute value is 1.75.
Answer:
Based on the given information, the value of the stock is 1.75 less than the original value since the plotted value is located 1.75 units to the left of the 0 mark. Therefore, the correct statement is: "The stock is 1.75 less than the original value, and the absolute value is 1.75."
The temperature in Austria one morning was -5 degrees celcius at eight o clock and increased by 2 degrees celcius every hour until twelve o clock . What will be the temperature be at half past eleven
The temperature at half past eleven would be 2 °C.
What is algebraic expression?In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.
Given is that the temperature in Austria one morning was -5 degrees Celsius at eight o clock and increased by 2 degrees Celsius every hour until twelve o clock.
We can write the temperature variation as a function of hour {x} as -
T{x} = (- 5 + 2{x})°C
For half past eleven, we will have -
{x} = 3.5
So, we can write -
T{x} = (- 5 + 2 x 3.5)°C
T{x} = 2 °C
Therefore, the temperature at half past eleven would be 2 °C.
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A carpet in Frank’s house has a length of 2 1/4 meters and a width of 1 1/5 meters. What is the area of the carpet? 6 9/10 meters 2 1/20 square meters 2 7/10 square meters 2 7/20 meters
The area of the carpet is [tex]2 7/20[/tex] square meters.
The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
To find the area of the carpet, we need to multiply its length by its width.
The mixed numbers must first be transformed into improper fractions:
Length: 21/4 = 9/4
Width: 11/5 = 6/5
Then we can multiply:
Area = length x width
Area = (9/4) x (6/5)
Area = 54/20 or 27/20 square meters
Therefore, the area of the carpet is 27/20 square meters.
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what is 3 8 as a decimal
3/8 in a decimal, divide the denominator by the numerator to get 3/8 as a decimal 3/8 is 0.375.
We divide the numerator by the denominator to convert a fraction to a decimal number. This results in a decimal value because, when dividing, we add the decimal place and then add the necessary number of zeros to finish the division.
3/8
3[1/2 x 1/2 x 1/2]
3[0.5 x 0.5 x 0.5]
3 x 0.125
0.375
To convert a fraction to a decimal, all you have to do is divide the numerator by the denominator. We position the number over its place value when converting a decimal to a fraction.
Just dividing the numerator by the denominator is all that is required to convert a fraction to a decimal.
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Pls answer fast :) I would love to give you points
Answer:
The builder has 28,200m^2 left to build the houses.
Step-by-step explanation:
For the roads,
They are 3m wide and they stretch 200m.
We must find the area for one road and multiply by three.
Area = Length * Width
Area = 200m * 3m
Area = 600m^2
600 * 3 = 1800m^2
1800m^2 is taken up by the three roads.
Next, we must find the total area of the field.
Area = Length * Width
Area = 200m * 150m
Area = 30,000m^2
30,000m^2 is the total area of the field, and we need to subtract the area the roads take up to determine the area left for the houses.
30,000m^2 - 1800m^2 = 28,200m^2
The builder has 28,200m^2 left to build the houses.
Answer:
The builder has 28,200m^2 left to build the houses.Step-by-step explanation:For the roads,They are 3m wide and they stretch 200m.We must find the area for one road and multiply by three.Area = Length * WidthArea = 200m * 3mArea = 600m^2600 * 3 = 1800m^21800m^2 is taken up by the three roads.Next, we must find the total area of the field.Area = Length * WidthArea = 200m * 150mArea = 30,000m^230,000m^2 is the total area of the field, and we need to subtract the area the roads take up to determine the area left for the houses.30,000m^2 - 1800m^2 = 28,200m^2The builder has 28,200m^2 left to build the houses.
Step-by-step explanation: hope this helps0^0
I need help with this question. 20 points?
Answer:
Step-by-step explanation: