A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard deviation of 34. What is the 90% confidence interval for the population mean? Use the table below to help you answer the question.
Confidence Level
90%
95%
99%
z*-score
1.645
1.96
2.58
Remember, the margin of error, ME, can be determined using the formula mc021-1.jpg.
128.75 to 147.25
130.98 to 145.02
132.10 to 143.90
137.38 to 138.62
Using the z-distribution, it is found that the 90% confidence interval for the population mean is: 132.10 to 143.90.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
The other parameters are given as follows:
[tex]\mu = 138, \sigma = 34, n = 90[/tex]
Hence, the bounds of the interval are given by:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 138 - 1.645\frac{34}{\sqrt{90}} = 132.1[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 138 + 1.645\frac{34}{\sqrt{90}} = 143.9[/tex]
The 90% confidence interval for the population mean is: 132.10 to 143.90.
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Over the period of one month 159 dogs visited the dog park. Suppose the same number of dogs visited each month for 1 year. How is this total different from the year before 95 dogs visited the dog park every 3 months for the year? Show your work and explain how you got your answer. WILL MARK BRAINLEST!!!!!!
Final answer:
The total number of dogs visiting the park in the current year, assuming 159 dogs visit each month, is 1,908 dogs/year. The previous year, with 95 dogs visiting every 3 months, saw 380 dogs/year. Hence, there are 1,528 more dogs visiting the park in the current year.
Explanation:
Calculating the Total Annual Number of Dogs Visiting the Dog Park
To calculate the total number of dogs visiting the dog park over the course of a year for the current period, we simply multiply the number of dogs that visit each month by the total number of months in a year. For the previous year, we will add up the number of dogs visiting every three months and then determine the difference between the two annual totals.
Current Period Calculation:
Number of dogs visiting each month: 159 dogsNumber of months in a year: 12 monthsTotal dogs visiting in the current year = 159 dogs/month * 12 months/year = 1,908 dogs/yearPrevious Year Calculation:
Number of dogs visiting every 3 months: 95 dogsNumber of 3-month periods in a year: 4Total dogs visiting in the previous year = 95 dogs/3 months * 4 (3-month periods) = 380 dogs/yearNow, we find the difference between the two annual totals:
Difference = Current year total - Previous year totalDifference = 1,908 dogs/year - 380 dogs/yearDifference = 1,528 dogs/yearThe total number of dogs visiting the park in the current year is 1,528 dogs more than the previous year.
I need help trying to find the vertex y=2x^2 + 12x +26
Find the greatest common factor of 8a 3 b 2 and 12ab 4.
Answer:
4ab²
Step-by-step explanation:
The two expressions are given as 8a³b² and 12ab⁴
Now factors of 8a³b² = 2 × 2 × 2 × a × a × a × b × b
and factors of 12ab⁴ = 2 × 2 × 3 × a × b × b × b × b
Now greatest common factor will be 2 × 2 × a × b × b
= 4ab²
Write an inequality involving the variable x that describes the set of numbers graphed.
How to solve these kind of questions.
On a map with a scale of 2 cm = 1km, the distance from Beau's house to the beach is 4.6 centimeters. What is the actual distance?
2.3
since 2 cm=1k you divide by 2
Solve 120000/1+48e^0.015t=24e^0.055t
Nora created a flag that was shaped by the triangle below.
'\
' \
5in. ' \
' \
'-----------
12in
What is the measure of the third side of the triangle?
A.13in
B.14in
C.17in
D.16in
Eric goes for a walk every night after work. A map of the route has a scale of 1:20,000, in cm.
If Eric walked 1.2 kilometers on Monday night, how many cm is the route on the map?
how to graph (-3,4) ;m=6
What fraction is equivalent to the repeating decimal 0.18
A small refrigerator is a cube with a side length of 14 inches. Use the formula S = 6s2 to find the surface area of the cube.
What is the true solution on 2 in e ^in 5x=2 in 15
if d=2, what is the value of 8/(4-d)
The value of the expression 8/(4-d) when d = 2 is 4.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
We have the expression,
8/(4-d)
And here, d = 2.
Substituting the value of d to the expression,
8/(4-d),
= 8/(4-2)
= 8/(2) {using simple division}
= 4
Therefore, 4 is the value of the expression.
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A ladder is leaning against a building and makes 42° angle with the ground. The top of the ladder reaches 30 feet up on the building. What is the length of the ladder?
The length of the ladder will be 44.8 feet.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
A ladder is leaning against a building and makes a 42° angle with the ground.
The top of the ladder reaches 30 feet up on the building.
Let the length of the ladder be L.
Then the length of the ladder is given by the sine of angle 42°.
sin 42° = 30 / L
L = 30 / sin 42°
L = 30 / 0.699
L = 44.8 feet
The length of the ladder will be 44.8 feet.
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The vanishing point of the picture is represented by point B.
A) The measure of angle ABD is is 6.2 times greater than the measure of angle CBD. Find the measure of angle CBD.
B) Angle FBE and angle EBD are congruent. Find the measure of angle FBE.
To solve this, we use the fact that angles around a point add up to 360 degrees and angles on a straight line add up to 180 degrees. This allows us to find angle CBD to be 50 degrees and angle FBE to be 130 degrees.
Explanation:The subject of this question is geometry, specifically it deals with the properties of angles around a point. In the first part of the question, we are told that angle ABD is 6.2 times greater than angle CBD and we are asked to find the measure of angle CBD. As the total angle around a point is 360 degrees, we can set up the equation ABD + CBD = 360. Given that ABD = 6.2 * CBD, we can replace ABD in our equation, resulting in 6.2* CBD + CBD = 360, solving this gives us CBD = 360/7.2 = 50 degrees.
In the second part of the question, we're told that angle FBE and angle EBD are congruent. This means they have the same measure. Since angle EBD is adjacent to angle CBD and they form a straight line together, their measures add to 180 degrees. Since we already found angle CBD to be 50 degrees, thus angle EBD (or FBE) is 180 - 50 = 130 degrees.
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The equation above can be used to calculate the volume V, of a pyramid with a height h and base with length l and width w. If the volume of a pyramid is 81inches^3, and l=w=3h, what is the length of the base of the pyramid in inches?
Can you find the measure of angle PVQ for 30 points?
A company's profit is described by the equation P(x)=-5x^2+300x+15,000
Where x is the price in dollars that the company charges for its product. What should the company charge for the product to generate the maximum profit?
A)$20
B)$30
C$50
D$60
The company charge for the product to generate a maximum profit is $30. Then the correct option is B.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
A company's profit is described by the equation
[tex]\rm P(x)=-5x^2+300x+15000[/tex]
Where x is the price in dollars that the company charges for its product.
Differentiate the equation with respect to x.
[tex]\rm \dfrac{dP(x)}{dx}=-10x+300[/tex]
For the maximum price
[tex]\rm \dfrac{dP(x)}{dx} = 0\\[/tex]
Then we have
[tex]\begin{aligned} \rm -10x+300 &= 0\\\\\rm 10x &= 300\\\\\rm x &= 30 \end{aligned}[/tex]
Then the company charge for the product to generate the maximum profit is 30 dollars for each.
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What is the volume of a cube with an edge length of 3.2 meters?
Enter your answer as a decimal
___ cm^3
Cereal companies often advertise with statements like "collect all 8 dinosaurs" or "one in each specially marked box." Assume that the company sells an equal number of boxes with each type of dinosaur. If you wanted to collect all eight dinosaurs, does this mean that you will only have to purchase eight boxes of cereal? This investigation will help you better understand how theoretical probability compares to experimental probability.
Here are your goals: Use a simulation to determine the experimental probability of a problem. Compare and contrast the theoretical probability with the experimental probability.
A simulated game of chess is programmed between two computers. The game is supposed to be biased in favor of player B winning 4 out of 5 times. Which is the most suspicious set of outcomes of 30 games played between the two computers?
AABABBBABBBBBBBBABBBABBBBBBBBA
ABBABBAABBBBBABBBBBBBBBBBBBABB
ABBABABABABBABABABABABABABABAA
ABBABBBABBBBBBBBABBBABBBBBBBBB
Answer:
ABBABABABABBABABABABABABABABAA
Step-by-step explanation:
Player B is supposed to be winning 4 out of 5 times. This means that Player A is supposed to win 1 out of 5 times.
This means out of 30 games, player A should win roughly 1/5(30) = 6 times.
In the first list, player A wins 7.
In the second list, player A wins 6.
In the third list, player A wins 15. This is much different.
In the fourth list, player A wins 5.
susan surveys 20 people in her math class to find out the most popular movie. 5 students say star wars if the are 200 students in the total 7th grade using a proportion find out how many students susan would expect to like Star Wars
Answer:
50 people
Step-by-step explanation:
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Jamie was surveying students about their use of the new computer lab in a school. Which question in the survey is a STATISTICAL QUESTION?
A.) How qualified is the trainer at the computer lab?
B.) Where is the computer lab located in the school?
C.) What is the number of learning stations at the computer lab?
D.) How many class projects did you complete using the computer lab?
Answer with explanation:
To know the use of Computer Lab in the School
A Survey has been done.Out of the four Question asked,
The education of the trainer in the computer Lab does not come into consideration,to know the use of computer lab in the school, the use of computer lab can be known only by whether students are getting well versed with Computer and it's applications or not.
Number of Learning Stations in the computer lab, also can't tell the use of computer Lab in the school, because we have to check knowledge of the students about computers to know the better use of the Lab.
So, number of Class projects, or in my own words A test on computer awareness and It's software tools will be a better survey Question.
Option D is the question in the survey is a STATISTICAL QUESTION.
(D) How many class projects did you complete using the computer lab?
From 9:00 AM to 12:00 PM, Linda's stock portfolio increased in value from $2,500 to $6,400. If Linda's portfolio continues to grow at this rate, how much will it be worth at 2:30 PM?
Help I don’t know the answer to this question
Name the algebraic property that is being shown in the example: 4(x+3) = 4x + 12
Find two square roots of 36.
how many 1 cup servings can be poured from 1 gallon of milk?