The 99% confidence interval for the population mean cost is 38.37 to 269.97.
What is confidence interval?
In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.
Given that the standard hotel rooms in the Philadelphia area has a mean nightly cost of $154.17.
The standard deviation of the price of all hotel rooms in Philadelphia is $38.60.
According to the empirical rule,
P(μ - 3σ ≤ X ≤ μ - 3σ) = 99%.
Here μ = 154.17 and σ = 38.60.
Calculating the confidence interval:
154.17 - (3 × 38.60) ≤ X ≤ 154.17 + (3 × 38.60)
38.37 ≤ X ≤ 269.97
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Select the most accurate statement regarding the normal distribution. Group of answer choices It is always the appropriate distribution in simulation modeling. It does not permit negative values. There is a 95% chance that values will be within ±2 standard deviations of the mean. The user must specify the maximum positive value allowed. It is obtained by the positive and negative square roots of a uniform random variable.
Answer:
There is a 95% chance that values will be within ±2 standard deviations of the mean.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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.
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this question:
According to the empirical rule, 95% of the measures are within 2 standard deviations of the mean. So the correct statement is:
There is a 95% chance that values will be within ±2 standard deviations of the mean.
Pricilla makes a profit of $24.50 on every scarf she sells the materials for each scarf cost
$8.39 how much does Priscilla sell each scarf for?
BRAINLIEST!!! find the probability for numbers 11 and 13 please
Answer: probability of 11 = 5.56% probability of 13 = 52
Step-by-step explanation:
A box of donuts cost $9. You want to send donuts to the local nursing home. Set up an equation to find how many boxes you can send if you have $72.
Answer:
8 boxes of donuts
Step-by-step explanation:
72$ /9$ = 8 boxes of donuts
if 40% percent is a number of 35 what is 50% of that number
Answer:
what is 50% of 35?
Answer is 17.5.
Step-by-step explanation:
A class consists of 1/2 freshmen, 1/8 sophomores, and 1/8 juniors; the rest are seniors. What fraction of the class is seniors?
Answer:
2/8 are seniors
Step-by-step explanation:
one half = 4/8
4/8 + 1/8 + 1/8 = 6/8.
What's left is 2/8
A walking path 78 mile long Colleen planted 14 bushes the same distance apart along the path how far power are the 1st 2 bushes along the path
Answer:
The bushes will be located 6 meters apart from each other.
Step-by-step explanation:
Given that at a walking path 78 mile long Colleen planted 14 bushes the same distance apart along the path, to determine how far away are the 1st 2 bushes along the path, the following calculation must be performed:
78/13 = X
6 = X
Thus, since the first bush is at meter 0, the remaining 13 bushes will be located 6 meters apart.
At a school carnival, 51 out of 68 tickets sold were early-admission tickets. What percentage of the tickets were early-admission tickets?
Answer:
75% of the tickets sold were early-admission
Simplily divide 51/68
⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️HELP HELP HELP HELP - A triangle has side lengths of 7, 23, and 25. Is the triangle a right triangle? *
Yes, the triangle is a right triangle.
No, the triangle is not a right triangle.
There is not enough information to tell if the triangle is a right triangle.
Answer:
No, the triangle is not a right triangle
Step-by-step explanation:
Answer:
To determine if the triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's check if the given triangle satisfies the Pythagorean theorem:
7^2 + 23^2 = 49 + 529 = 578
25^2 = 625
Since 578 is not equal to 625, the triangle does not satisfy the Pythagorean theorem. Therefore, the triangle is not a right triangle.
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The sales rate is 8%. If Janelle buys a gymnastics mat priced at $87 , how much tax will she pay?
Answer: $6.96
Step-by-step explanation:
To find out what 8% of $87 is, you have to convert the 8% into decimal form which is 0.08. Then you have to multiply that by $87
87*0.08 = 6.96
Now, we know $6.96 is 8% of $87 which is how much she will be paying in tax
The length of one rectangle is 3 1/2 mm with a width of 2 4/5 mm . What is the area of the rectangle?
Answer:
9.8
Step-by-step explanation:
There are 400 thousand people living in Miami and 300 thousand people living in Anchorage. Which statement below shows which city has more people living in it? - 400 thousand people > 300 thousand people, so there are more people living in Miami. 400 thousand people < 300 thousand people, so there are more people living in Miami. 400 thousand people > 300 thousand people, so there are more people living in Anchorage. 400 thousand people < 300 thousand people, so there are more people living in Anchorage.
Answer:
Your answer is A <3
Step-by-step explanation:
Answer:
400 thousand people > 300 thousand people, so there are more people living in Miami.
PLs help me. I need to find the measure of B
Answer: 52
Step-by-step explanation:
cos=7/11.4 -> cos-1(cosB) = cos-1(7/11.4)
m<B = cos-1(7/11.4) = 52
85% of x is 51. Write an equation that represents the situation.
Answer:
85/100*x=51
Step-by-step explanation:
85x=5100
WILL MARK BRAINLY FOR WHO EVER GETS THIS RIGHT
Answer:
The first option and the third option
Step-by-step explanation:
Since the figure moved 4 places down and 4 places to the right.
Answer:
Option 1, ,2, 3, and 4 are correct.
Step-by-step explanation:
Have a nice day!
Hey guys, I just got braces and they are really uncomfy so how long did it take yall to get used to them?
Answer:
it took me like 1-2 months to be honest. after that it just feels normal
Step-by-step explanation:
(please answer if you know) On a map, 1 inch equals 5.2 miles. Two houses are 3.5 inches apart on the map. What is the actual distance between the houses? Use pencil and paper. Show how you can represent the scale with two different ratios. What ratio is more helpful for solving the problem? Explain.
Jill wants to paint the front and top surfaces of each step leading to her porch. There are 6 steps like the one shown. How many total square inches of the steps will she paint?
A: 1,296
B: 1,776
C: 3,552
D: 5,760
Answer:
1296
Step-by-step explanation:
12 multiplied by 8 gives 96 which is the total square inches of the front step. 12 times 10 is 120 giving you the total square inches of the top. 120 + 96 gives you 216. 216 multiplied by 6 gives you the total square inches of all 6 steps which is 1296.
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Answer:
Is this called
BRAINLIEST WHO EVER ANSWERS FIRST !!!!!!I need someone to talk too! Please if anyone is willing to talk to me, I will give brainiest!
Answer:
A tropism (from Greek τρόπος, tropos, "a turning") is a biological phenomenon, indicating growth or turning movement of a biological organism, usually a plant, in response to an environmental sti
I will give Brainliest answer!
What is the volume of the cylinder below? write your answer in terms of pie.
Height= 11.5 cm
Radius= 6 cm
Answer:
414π
Step-by-step explanation:
Volume of a cylinder = area of circle/ cross-section x height
Area of cross-section = πr² = 6²π = 36π
36π x 11.5 = 414π
Answer:
1300.61936 cm
Step-by-step explanation:
:))
-7x + 2y = -5
y = -7x + 8
explain how please
Answer:
x = 1 and y =1
Step-by-step explanation:
y = -7x + 8
sub into other eq
-7x + 2(-7x + 8) = -5
-7x - 14x + 16 = -5
-21x = -21
x - 1
y = -7(1) + 8
y = 1
Find the distance between the points (4.5,-1.5), (4.5,7.25)
The distance is ____.
Answer:
8.75
Step-by-step explanation:
PLEASE HELPP!!!!
Please find the areas of these shape
what is the slope of 4x-3y=18
Answer:
Look below
Step-by-step explanation:
[tex]4x-3y=18\\-3y=18-4x\\y=4/3x-6[/tex]
Answer:
Slope: 4/3
y-intercept: -6
please help i have been stuck on this for 3 hours
Answer:
The one you selected is the correct one
Answer:
(5/7) x 56 = 40 is correct
Step-by-step explanation:
How have you been stuck on this for 3 hours
Pleaseee helppp me on this
Answer:
(-7,-13) (-6,-12) (3,-3) (5,-1) (7,1)
Step-by-step explanation:
plug in each x value into the equation
take -7 for example
when -7 is x, we plug it into the equation
[tex]y=x-6[/tex]
[tex]y = (-7) -6[/tex]
[tex]y=-13[/tex]
you would do this same process for the rest of the x values.
The area of a rectangle with a
length of 10 cm and a width of 3
cm.
Answer:
30 cm2
Hope this helps
Answer:
30
Step-by-step explanation:
A=w*l=3·10=30
BRAINILEST PLEASE
Anyone who know what the answer please please?!
Answer:
x = 26.4°
Step-by-step explanation:
Defence angle = x
Side length Opposite to reference angle = 4
Hypotenuse length = 9
Apply trigonometric ratio, SOH. Thus:
Sin x = Opp/Hyp
Sin x = 4/9
[tex] x = sin^{-1}(\frac{4}{9} [/tex]
x = 26.3878° = 26.4° (nearest tenth)
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
Answer:
D) ONK and MNK
Step-by-step explanation:
All the other choices are either corresponding or vertical angles
4. Are the expressions 3(y + 1) and 3y + 3, equivalent for y = 1? y= 2? y 3?
Answer:
yes they both equal 1
Step-by-step explanation: