The percentage of vacationers who spent less than $1,200 per 12-day vacation is 7.78%.
What is normal distribution?The normal distribution, also recognized as that of the Gaussian distribution, would be a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far away from the mean. The normal distribution is represented graphically as a "bell curve."
Now, according to the question;
The formula for finding the z-score is;
z = (x - μ)/σ
where,
x is the score
μ is the mean
σ is the standard deviation.
Summer vacation costs $1,755 for the average local family.
The distribution is normal, with a standard deviation of $390.
We need to figure out what percentage of families took vacations less than $1200.
The mean is $1,755
∴ μ = $1,755
∵ The standard deviation is $390
∴ σ = 390
∵ The vacation cost is under $1200
∴ x = $1200
Substitute the values in the formula of z score.
z-score = (1200 - 1,755)/390 = -1.42
Use the negative normal distribution table of z
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, the percentage of vacationers who spent less than $1,200 per 12-day vacation is 7.78%.
To know more about the normal distribution, here
https://brainly.com/question/6476990
#SPJ4
The complete question is -
International travel is usually more expensive than domestic travel. A recent survey found that the average per-person cost of a 12-day international vacation is $1,755. This includes transportation, food, lodging, and entertainment.
a. if the data are normally distributed with standard deviation $390, find the percentage of vacationers who spent less than $1,200 per 12-day vacation. round to the nearest hundredth of a percent.
Hugo grapes triangle PQR and (Rt*T<3,1>)(truabgle PQR), where the equation of the line t is y=2, made exactly one error. Explain Hugo’s error
The Hugo's error is that , he did the translation incorrectly. He should have translated triangle by 3 unit right and then 1 unit up.
What is a triangle?In geometry, a triangle is defined as the shape which has three sides and also has three angles. We can say that a triangle is a type of polygon with three sides and three vertex. Triangle follows angle sum theorem.
Triangle Angle-Sum TheoremAccording to triangle Angle Sum theorem, the measurement of the sum of all interior angles of a triangle is always equals to 180°. That means, For a given triangle say ΔABC if ∠A, ∠B and ∠C are the interior angles then their sum i.e. ∠A + ∠B + ∠C = 180°.
Some important formula of triangles:
Area of triangle = 1/2 . base .heightPerimeter of triangle = sum of side lengthsNumber of vertices = 3Number of edges = 3In the question given,
the equation of line is y=2
The Hugo's error is that , he did the translation incorrectly. He should have translated triangle by 3 unit right and then 1 unit up.
To know more about triangles, visit :
brainly.com/question/22737630
#SPJ9
The complete question is :
Hugo grapes triangle PQR and (Rt*T<3,1>)(Δ PQR), where the equation of the line t is y=2, made exactly one error. Explain Hugo’s error.
Tony is making a tiered cake for a party. He use 9 cups of butter from the refrigerator to make 4 cakes. We want to find how butter he needs to put in each cake. This situation can be represented by the expression -9 divided by 4. Find the solution, and explain what it means in the context of the problem.
The amount of butter that Tony needs to put in each cake will be 2.25 cups.
How to illustrate the information?From the information, Tony is making a tiered cake for a party and he use 9 cups of butter from the refrigerator to make 4 cakes.
The amount of butter that he needs to put in each cake will be:.
= Number if cups / Number of cakes
= 9 / 4.
= 2.25 cups
Therefore, the amount of butter that Tony needs to put in each cake will be 2.25 cups.
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
What is the answer for this and why? Show work
Answer: (-4.5,-3)
Step-by-step explanation:
(-9,-2) (9,-6) 1:3
[tex]\displaystyle\\\boxed {x=\frac{x_1+\lambda x_2}{1+ \lambda} \ \ \ \ \ \ y=\frac{y_1+\lambda y_2}{1+\lambda} }[/tex]
[tex]\displaystyle\\x_1=-9\ \ \ \ x_2=9\ \ \ \ \ y_1=-2\ \ \ \ \ \ y_2=-6\ \ \ \ \ \lambda=1:3=\frac{1}{3} \\\\x=\frac{-9+(\frac{1}{3})(9) }{1+\frac{1}{3} } \\\\x=\frac{-9+3}{\frac{(1)(3)+1}{3} } \\\\x=\frac{-6}{\frac{3+1}{3} } \\\\x=\frac{(-6)(3)}{4} \\\\x=\frac{-18}{4}\\\\x=-4.5 \\\\y=\frac{-2+(\frac{1}{3} )(-6)}{1+\frac{1}{3} } \\\\y=\frac{-2+(-2)}{\frac{4}{3} } \\\\y=\frac{(-4)(3)}{4} \\\\y=-3\\Thus,(-4.5,-3)[/tex]
delroy is going to a dog adoption day at his local animal shelter. he wants to make 4 batches of dog biscuits for the dogs. it takes 1 3of a cup of margarine to make a batch. how many cups of margarine will he need?
4/3 cups of margarine will he need to make 4 batches of dog biscuits.
What is a fraction in math?A fraction is a piece of the entire. The number is shown as a quotient in mathematics, in which the numerator and denominator are split. Both are integers in a straightforward fraction. The numerator, as well as the denominator of a complex fraction, as well as the denominator of a complex portion, is a fraction.
What is a whole number in math?Zero, a positive natural number, or an unsigned negative integer are all examples of integers. The inverses of corresponding positive numbers, which are additive, are the negative numbers. The blackboard bold math b Z or boldface Z is a common way to represent the set of integers in mathematical terminology.
According to the given information:There are four batches of dog biscuits.
Making a batch requires 1/3 cup of margarine.
As we can see that for 1 batch of dog biscuits required 1/3 cup of margarine.
So to make 4 batches of dog biscuits:
= (1/3)*4
= 4/3
4/3 cups of margarine will he need to make 4 batches of dog biscuits.
To know more about fraction visit:
https://brainly.com/question/10354322
#SPJ4
Which quadratic inequality does the graph below represent?
Oy≤2x²-8x+3
O y≥ 2x² +8x+3
Oy≤2x²-8x-3
2 3 4 5 6 x
Answer:
A. y≤2x²-8x+3
Step-by-step explanation:
If you graph the function y≤2x²-8x+3, you would see that these both match.
The inequality y ≤ 2x² - 8x + 3 represents the given graph.
What is Inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Here, The y-intercept is 3, not -3, so answer C is eliminated
Choose a point that is clearly in the shaded area or one that is clearly in the unshaded region
Here, I choose the point (0, 0) and substituted these values in the equation and since 0 < 3,
Option A is the correct answer
Thus, the inequality y ≤ 2x² - 8x + 3 represents the given graph.
Learn more about Inequality from:
brainly.com/question/20383699
#SPJ5
use long divison to find the quotient below (4x^ - 7x - 2) / (x-2)
The quotient of the expression is 4x+1.
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined
Given:
The expression is
[tex](4x^{2} - 7x - 2) / (x-2)[/tex]
By long division method the following steps are :
Divide the tens column dividend by the divisor. Then Multiply the divisor by the quotient in the tens place column ,Subtract the product from the divisor then at last Bring down the dividend in the ones column and repeat.
We have to find the quotient of the expression.
According to given question we have
[tex](4x^{2} - 7x - 2) / (x-2)\\\\=(x-2)(4x+1)/(x-2)\\\\=4x+1[/tex]
Therefore, the quotient of the expression is 4x+1.
Learn more details about expression here:
https://brainly.com/question/14083225
#SPJ1
Mariana is younger than yaritza. their ages are consecutive odd integers. find mariana's age if the sum of mariana's age and 5 times yaritza's age is 100.
Translating the given word problem into a set of linear equations, Mariana's age is 15 years old.
Translate the given word problem into algebraic equations.
Let x be Mariana's age
Let y be Yaritza's age
Mariana is younger than Yaritza, their ages are consecutive odd integers.
Since the difference of consecutive odd integers is 2, then:
y = x + 2 ....... (1)
Sum of Mariana's age and 5 times Yaritza's age is 100.
x + 5y = 100 ..... (2)
Substitute equation (1) to equation (2)
x + 5y = 100
x + 5(x+2) = 100
6x + 10 = 100
6x = 90
x = 15
Thus, Mariana's age is 15 years old.
Learn more about solving linear equations here:
https://brainly.com/question/25645169
#SPJ4
Answer:
15
Step-by-step explanation:
i just got it right on delta
solve the compound inequality 2x<4x-5<15
The answer of the given inequality is 5/2<x<5
To solve this given inequality we need to 1st understand what is inequality then we will be easily able to solve this sum.
It is a relationship between inequal values. the word inequality means not equal. to compare the values whether it is less or greater than then different inequalities are used. We can easily identify when an equation is called an inequality equation when we will see the sign ≤ , ≥ ,< ,>. This sign means that the expression is an inequality.
Here in the sum we will be solving the equation in two parts in the 1st part we will be taking the part 2x<4x-5 and in the 2nd part we wil take the equation 4x-5<15
On solving the 1st part :
∴ 2x<4x-5
=> 2x-4x<-5
=> -2x<-5
=> 2x>5 [Multiplying boyh sides by minus sign]
=> x>5/2
On solving the 2nd part :
∴ 4x-5<15
=> 4x<15+5
=> 4x<20
=> x<5
So on solving the inequality we got that 5/2<x<5
learn more about inequalities here :
https://brainly.com/question/25275758
#SPJ9
Please help!! I don't know what I'm doing
answer:
1/5^2
=
1/25
step-by-step
1) 5^5/5^7=
5*5*5*5*5
-------------------
5*5*5*5*5*5*5
2) aka
1/5^2= 1/25 (.04)
se repartio 8 qintos de bizcocho entre 4 ninos Que parte dl bizcocho recibio cada uno
Answer:
Step-by-step explanation:
Es de dividir 8/5 entre los 4 niños, tipo:
8/5 ÷ 1/4 =8/20 esto sale de multiplicar 8x1 y 4x5 debido a que cuando divides fracciones, se multiplican los factores.
Luego 8/20 se simplifica dividiendo todo por 4 y queda 2/5 que es el resultado.
Respuesta: Cada niño comió 2/5
Espero te sirva!
Can someone please help mee (20 points
brainliest!!!)
Answer:
i hope this is the answer
Step-by-step explanation:
A family is polled to see the mean of the number of hours per day the television set is on. The results, starting with Sunday, are 5, 2, 1, 2, 1, 2, and 6 hours. What is the average number of hours the family had the television set on to the nearest whole number?
The average number of hours the family had the television set on is 3 hours.
What is the average number of hours?The average of a set of numbers is calculated by adding the numbers together and dividing it by the total number. Average is also known as mean. Average is a measure of central tendency. Other measures of central tendency are mode and median.
Average = sum of the numbers / total number
Average = (5 + 2 + 1 + 2 + 1 + 2 + 6) / 7 =
19 / 7 = 2.714 hours
To round off a number to the nearest whole number, if the tenth digit is equal to 5 or greater than five, add one to the units digit. If this is not the case, the unit digit remain unchanged. In both cases, the tenth digit is replaced with o.
Because the tenth digit in 2.714 is greater than 5, the number becomes 3 hours.
To learn more about average, please check: https://brainly.com/question/25842202
#SPJ1
I’m so confused please help!!
Answer:
(3,1)
Step-by-step explanation:
Y axis = Arrow that goes up and Down
X axis = Arrow that goes from left to right
To find point J, you have to go up 3 on the Y axis.
Then, go to the right once.
now that your on point J, you have to write the coordinates.
(Y axis, X axis) = (3,1)
In an Examination, 1.100 Boys and 900 Girls appeared, 50% percent of the Boy and Girls passed the examination. The fail percentage is?
54.5 % students got failed
• Percentage in mathematics is defined as the number or ratio which can be expresses as a fraction of 100. If we want to calculate the percent of the number, we need to divide the number by the whole and multiply by 100.
• Percentage are dimensionless quantity. Percentage means pert per hundred. Percentage can also be represented in fraction form such as 0.5% or 0.25%.
• For example Prince got 98% marks in Maths which means that he has scored 98 marks out of 100.
According to the Question
Number of boys = 1100
Number of girls = 900
%age of boys passed = 50%
%age of girls passed = 40%
No of boys failed = ((100-50)*1100)/100
= 550
No of girl failed = ((100-40)*900)/100
= 540
Total number of students =1100+900 = 2000
Total number of students failed = 1090
Percentage of students failed = 1090/2000 *100 = 54.5
54.5 % students got failed
Learn more about percentage here
https://brainly.com/question/843074
#SPJ9
Find the area of the triangle
The area of the triangle is 5√11 cm²
How to find the area of a triangle?The area of a triangle can be found as follows:
area of a triangle = 1 / 2 bh
where
b = base of the triangleh = height of the triangleTherefore,
b = base of the triangle = 2(√6² - 5²) = 2(√36 - 25) = 2√11 cm
h = height of the triangle = 5 cm
area of the triangle = 1 / 2 × 2√11 × 5
area of the triangle = 5√11
area of the triangle = 5√11 cm²
learn more on triangle here: https://brainly.com/question/27701864
#SPJ1
$600 son repartidos entre 3 amigos en la razón (2w + 3) : (w + 2) : (3w + 4), en donde w es un número positivo.
a) Si la menor parte es $125, forma una ecuación en términos de w y resuélvelo.
b) Luego, expresa la razón en la forma más simple.
c) Los 3 amigos deciden donar $50 cada uno a una caridad. Determina la razón de sus partes luego de la donación
The equation will be (2w ,+ 3) + (w + 2) + (3w + 4) = 600
The ratio in lowest term will be 2:1:3
When they donate $50, the ratio will be 1:4.
How to calculate the value?a. The equation based on the information will be:
(2w + 3) + (w + 2) + (3w + 4) = 600
6w + 9 = 600
6w = 600 - 9
6w = 591
Divide
w = 591/6
w = 98.5
b. Therefore, (2w + 3) = 2×98.5 + 3 = 200
(w + 2) = 98.5 + 2 = 100.5
(3w + 4) = 3(98.5) + 4 = 299.5
The ratio in lowest term will be 2:1:3.
c. When they donate $50, the ratio will be:
= (50 × 3)/600
= 150/600
= 1:4
Learn more about expressions on
brainly.com/question/22048677
#SPJ1
inspection of a random sample of 25 aircraft showed that 17 needed repairs to fix a wiring problem that might compromise safety. (a) how large a sample would be needed to estimate the true proportion of jets with the wiring problem, with 90 percent confidence and an error of ± 5 percent?
The random sample proportion.
Probability distribution is a statistical function that describes all the possible values and likelihoods that a random variable can take within a given range.
at 90% confidence interval: The Central 90% of any normal distribution is: Z_(α/2) = 1.960
Error = E = ±5% = ±0.05
Applying the normal Probability distribution
= 0.70 ≤ P≤ 0.77(this means that we are 90% confident that the true proportion of jet with wiring problem fall with 0.70 and 0.77, hence there is no need for the airline to conduct further sampling, rather, they should just inspect all the planes)
learn more about Probability distribution : brainly.com/question/14210034
#SPJ4
laura measured a picnic area near the river and made a scale drawing. the scale she used was 3 inches : 2 yards. if the picnic area is 90 inches wide in the drawing, how wide is the actual picnic area?
The acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards will be 60 yards.
Let the actual width of the picnic area be x yards.
According to the given question.
Laura measured a picnic area near the river and made a scale drawing.
The scale she used was 3 inches : 2 yards.
⇒ The scale is 3 inches : 2 yards
The width of the picnic area in the drawing is 90 inches.
As we know that, a proportion is a fraction of a total amount, and the measures are related using a rule of three.
Thereofore, the acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards is given by
3inches : 2 yards = 90inches : x
⇒ 3x = 180
⇒ x = 60yards
The acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards will be 60 yards.
Find out more information about scale here:
https://brainly.com/question/28060140
#SPJ4
In 40 minutes; diane walks 2.5 miles and sue walks 1.5 miles. in miles per hour , how much diane walking?
Answer:
3.75 miles per hour
Step-by-step explanation:
Diane is walking 2.5 miles in 40 minutes.
2.5/40 = 0.0625 miles per minute
There are 60 minutes in an hour.
0.0625 * 60 = 3.75
Diane is walking at a speed of 3.75 miles per hour.
Here, we have to calculate the walking speed of Diane in miles per hour, we need to convert the time from minutes to hours since the walking distance is given in miles.
Diane walks 2.5 miles in 40 minutes.
To convert 40 minutes to hours, we divide by 60 (since there are 60 minutes in an hour):
40 minutes ÷ 60 = 2/3 hours
Now, we can calculate Diane's walking speed (or rate) in miles per hour:
Diane's walking speed = Distance / Time
Diane's walking speed = 2.5 miles / (2/3) hours
To divide by a fraction, we can multiply by its reciprocal:
Diane's walking speed = 2.5 miles * (3/2) hours
Now, simplify:
Diane's walking speed = 7.5 miles / 2 hours
Finally, divide:
Diane's walking speed = 3.75 miles per hour
So, Diane is walking at a speed of 3.75 miles per hour.
To learn more on speed click:
brainly.com/question/28224010
#SPJ7
π x 910(10)
PLEAS ENEMOPOEJDHE HELP
Answer:
The correct is the 9100πx
I need help asap!!!!
Answer:
Step-by-step explanation:
You multiply the weight per gallon by the number of gallons, which is 3205.
So, 8.34 x 3205
writing and graphing linear equations glass art
The graph of Linear Equation is always a straight line .
One of the main financial services that is provided by a bank involves offering accounts where people can safely store their money for a period of time, all the while earning interest and being protected by insurance. What is this common financial service called? A. payment services B. savings C. loans D. financial planning
Banks are known to carry out different functions. The common financial service called savings.
Financial services is known to be a very wide term that comprises of all of the activities such as banking, investing, and insurance.
Financial services by banks includes savings, investment, etc. Savings is thee process whereby bank helps to keep the money of its customers. It is known to be the most common services offered by banks.
Learn more about Financial services at:
https://brainly.com/question/9928158
#SPJ1
-20=4x-6x
solve equation
Answer:
X=10
Step-by-step explanation:
-20=4x-6x
4x-6x=-20
[tex]\frac{-2x}{-2} =\frac{-20}{-2}[/tex]
X=10
Answer:
x = 10
Step-by-step explanation:
STEPS FOR SOLVING LINEAR EQUATION
−20=4x−6x
Combine 4x and −6x to get −2x.
−20=−2x
Swap sides so that all variable terms are on the left hand side.
−2x=−20
Divide both sides by −2.
x=
−2
−20
Divide −20 by −2 to get 10.
x=10
i need help with this
if you could send a picture that would be great
The value of input are {1, 2, 3, 4, 5}.
The value of output are {4, 5}.
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
The points are given as;
{(1, 5) , (2, 4) , (3, 5) , (3, 4) , (4, 4) , (5, 5)}
Now, All points are shown in graph.
Clearly, The input of points are,
x = {1, 2, 3, 4, 5}.
And, The output of points are,
y = {4, 5}
So, The value of input are {1, 2, 3, 4, 5}.
The value of output are {4, 5}.
Learn more about the coordinates visit:
https://brainly.com/question/1047474
#SPJ1
dimetri says that a function that is made of terms where the variable is raised only to an odd power will be an odd function. do you agree with dimetr
The given function is not the odd function.
According to the statement
We have to find about the odd function.
So, For this purpose, we know that the
The odd function is that the function f is odd if the subsequent equation holds for all x and −x within the domain of f : −f(x)=f(−x) − f ( x ) = f ( − x ) Geometrically, the graph of an odd function has rotational symmetry with relevance the origin, meaning that its graph remains unchanged after a rotation of 180∘ about the origin.
From the given information:
dimetri says that a function that's fabricated from terms where the variable is raised only to an odd power are going to be an odd function
Then
Algebraically, an odd function is one where f(-x) = -f(x). this suggests that if we substitute -x for each x within the function, it should be the identical as switching every sign up the function. This doesn't always work.
For example, if f(x)=x³+7:
f(-x)=(-x)³+7=-x³+7.
However, since the 7 did not become -7, it is not the same as -f(x), so it is not an odd function.
So, The given function is not the odd function.
Learn more about odd function here
https://brainly.com/question/4031409
#SPJ4
At a grocery store, a customer pays a total of $9.70 for 1.8 pounds of potato salad and 1.4pounds of coleslaw. another customer pays a total of $6.55 for 1 pound of potato salad and 1.2pounds of coleslaw. how much do 2 pounds of potato salad and 2 pounds of coleslaw cost?
If segment RS has endpoint R(5,1) and midpoint M(1,4), what will be point S?
Answer:
S(-3,7)
Step-by-step explanation:
Rise/Run
M(1,4) R(5,1)
1+run=5 4+rise=1
run=4 rise= -3
1-4= -3 4+3=7
researchers are investigating whether taking aspirin regularly reduces the risk of heart attacks. four hundred men participate in the study. the men are divided randomly into two groups: one group takes aspirin pills, and the other group takes placebo pills (a pill with no aspirin in it). the men each take one pill a day, and they do not know which group they are in. at the end of the study, researchers will count the number of men in each group who have had heart attacks. identify the explanatory and response variables in this situation.
Explanatory variable: The type of pill the men took each day.
Response variable: Whether a subject had a heart attack.
We have been given that :
Participated candidates are 400
Men are divided randomly so we find out explanatory and response variable.
The explanatory variable is the variable that is manipulated by the researcher. Explanatory Variable also known as the independent or predictor variable, it explains variations in the response variable; in an experimental study, it is manipulated by the researcher.
Response variable: Response Variable is the result of the experiment where the explanatory variable is manipulated. It is a factor whose variation is explained by the other factors. Response Variable is often referred to as the Dependent Variable or the Outcome Variable.
To know more about explanatory variable and response variable
visit: brainly.com/question/17647745
SPJ4
the scores on a statistics test had a mean of 81 and a standard deviation of 9. one student was absent on the test day, and his score wasn’t included in the calculation. if his score of 84 was added to the distribution of scores, what would happen to the mean and standard deviation?
Considering the concepts of the mean and the standard deviation, we have that:
The mean would increase.The standard deviation would remain constant.What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.When the measure of 84 is added, we have that:
A measure greater than the mean is added, hence the mean would increase.The difference squared between 84 and the mean of 81 is of 9, which is the same as the standard deviation, which would remain constant.More can be learned about the mean and the standard deviation of a data-set at https://brainly.com/question/26941429
#SPJ1