Noise levels at 4volcanoes were measured in decibels yielding the following data:152,157,157,158Construct the 90%confidence interval for the mean noise level at such locations. Assume the population is approximately normal.Step 3 of 4:Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer 1

Answer:

t critical = 2.353

CI = (152.82 , 159.18)

Step-by-step explanation:

We are required to find the t critical value and also confidence interval

The sample mean is = 152+157+157+158/4

= 156

The standard deviation is 2.7

At a confidence level of 90%, we have α = 1 - 0.90 = 0.1

α/2 = 0.1/2 = 0.05.

Degree of freedom = 4-1 = 3

When we look this up in the t critical value table,

t critical = 2.353

Next we have to find the confidence interval

CI = (156 - 2.3530 x 2.7/√4 , 156 + 2.353 x 2.7/√4)

= 156-3.17655, 156+3.17655

CI = (152.82 , 159.18)

Upper bound = 159.18

Lower bound = 152.82

Noise Levels At 4volcanoes Were Measured In Decibels Yielding The Following Data:152,157,157,158Construct

Related Questions

Select the correct answer.
In which career would you most likely apply concepts from geometry?
A food critic
B. social worker
C. radio
D. computer game designer ​

Answers

Answer:

D

Step-by-step explanation:

The answer would be D

They use a lot of technology and math

Hope it helps :p

Answer:

D. Computer game designer

Step-by-step explanation:

They use geometry mostly in graphics.

"Isometric Graphic Design can be used to create an object that appears to be 3D, but is not. Isometric projection is the process of tilting a certain axis to change the angle at which an object is viewed."

Find the slope of the line.

Answers

The slope of the line should be -3/2

triangles abc and def are similar. the lengths of the sides of abc are 56, 64, and 72. the length of the largest side of def is 252. what is the length of the smallest side of def

Answers

Answer:

196

Step-by-step explanation:

70/252= 3.5

56x3.5=196

The length of the smallest side of Δ DEF is 196 units.

What are similar triangles?

Similar triangles have the same corresponding angle measures and proportional side lengths.

Given that, triangles ABC and DEF are similar. the lengths of the sides of ABC are 56, 64, and 72. the length of the largest side of DEF is 252.

Largest side of Δ ABC = 72 and that of Δ DEF = 252

We know that, corresponding sides of similar triangles are in equal proportion,

Therefore, the scale factor = 252 / 72 = 3.5

The smallest side of Δ ABC = 56

Therefore, the smallest side of Δ DEF = 56 x 3.5 = 196

Hence, the length of the smallest side of Δ DEF is 196 units.

Learn more about similar triangles, click;

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How much would it cost to buy 3 $13 battery packs and 3 $22 copper wires

Answers

It would cost $105 because if you do 13+13+13= 39
22+22+22= 66
66+39= 105.

¿De qué forma calcularía Luisa la medida de la tira bordada?

Answers

Do you have instructions or summmmm?

mario is taking a $2,900, 2-year loan with an APR of 5.44%. what is the montly payment for this loan? round to the nearest cent

Answers

Answer:

The monthly payment for this loan is $127.80

Step-by-step explanation:

The formula of the monthly payment is

[tex]M.P=\frac{P(\frac{r}{n})}{1-(1+\frac{r}{n})^{-nt}}[/tex]

P is the initial amount of the loanr is the rate in decimaln is the period of the timet is the time of the loan

∵ Mario is taking a $2,900, 2-year loan with an APR of 5.44%

∴ P = 2,900

∴ t = 2

∵ ART means annual percent rate

∴ r = 5.44% = 5.44 ÷ 100 = 0.0544

∴ n = 12

→ Substitute all these values in the formula above

∵ M.P = [tex]\frac{2,900(\frac{0.0544}{12})}{1-(1+\frac{0.0544}{12})^{-(12)(2)}}[/tex]

→ use your calculator to find the answer

∴ M.P = 127.7992528

→ Round it to the nearest cent ⇒ 2d.p

∴ M.P = 127.80

The monthly payment for this loan is $127.80

question: what is the relationship between measures of angle 1 and angle 2
pls help need answer fast​

Answers

Answer:

C.

Step-by-step explanation:

m1 is greater than m2 because the angle is larger

Select the correct answer
What is the degree of the polynomial R(x) = 7x5 - 9X4 - 2x + 3x - x + 7?

Answers

The degree is 5..:)

solve 7x -2 + 10x + x + 6x

Answers

Let's simplify step-by-step.

7x−2+10x+x+6x

=7x+−2+10x+x+6x

Combine Like Terms:

=7x+−2+10x+x+6x

=(7x+10x+x+6x)+(−2)

=24x+−2

Answer:

=24x−2 <----

Answer:

probably 24x-2

Step-by-step explanation:

combine like terms

Find the slope and y intercept of the graph . Please help ! Thank you

Answers

Answer:

Slope: [tex]-\frac{1}{2}[/tex]

Y-intercept: 3

Equation:  [tex]y =-\frac{1}{2} x + 3[/tex]

Step-by-step explanation:

The line intercepts the y-axis at the point (0, 3).

The line appears to be rising by -1 and running by 2. This gives us the slope, [tex]-\frac{1}{2}[/tex].

We can use these two parts to put together the equation: [tex]y =-\frac{1}{2} x + 3[/tex]

Hope this helps! Let me know.

Michael threw a baseball 17.6 meters. His older brother, Kyle, threw a baseball 3.5 times farther than Michael. How far did Kyle throw the baseball?

Answers

Answer: 61.6

Step-by-step explanation:

17.6 X 3.5 = 61.6

Answer:

Kyle threw the baseball 61.6 meters

Step-by-step explanation:

You multiply 17.6 by 3.5 which results in 61.6

What is the answer for number 7

Answers

Answer:

x = -35

Step-by-step explanation:

add 3 to both sides.

[tex]\frac{2}{5}[/tex]x - 3 + 3 = -17 + 3

[tex]\frac{2}{5}[/tex]x = -14

multiply both sides by [tex]\frac{5}{2}[/tex].

([tex]\frac{5}{2}[/tex]) · ([tex]\frac{2}{5}[/tex]x) = ([tex]\frac{5}{2}[/tex]) · (-14)

x = -35

PLEASE HELP MEEEEE!!!!!!!!!

Answers

Answer:

Value of slope is -2 and y-intercept is 1

Step-by-step explanation:

We can see that the values in the table have a linear relationship.

A linear function is a straight line written as:

y = mx+b

Here,

m is the slope and b is the y-intercept

The slope is calculated by:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

We can take any two consecutive pairs in the table to calculate the slope.

Taking first two input-output pairs.

(x1,y1) = (-3, 7)

(x2,y2) = (-2, 5)

Putting the values

[tex]m = \frac{5-7}{-2+3}\\m= -2[/tex]

Putting the value of m in the general form

[tex]y = -2x+b[/tex]

To find the value of b, we will put any pair of input-output (x,y) in the equation

Putting the first pair

[tex]7 = -2(-3) +b\\7 = 6 + b\\b = 7-6\\b = 1[/tex]

Hence,

Value of slope is -2 and y-intercept is 1

12 pens cost £3.00. How many pens can be bought for £8?

Answers

Answer:

You can buy 32 pens for £8.

Step-by-step explanation:

12÷3 =  4  ---> which means you get 4 pens for £1.

since you get 4 pens for £1, you need to multiply 4x8 to find how many pens you can buy for £8.

4x8 = 32.

You can buy 32 pens for £8.

hope this helps !

have an amazing day : )

What is the value of x?

Answers

D: The value of x is 8

Answer:

8

Step-by-step explanation:

You have to set up a proportion for this!

Because ABC and PAQ are similar triangles (same angles and PQ || BC), you can assume that all the equivalent sides are proportional!

If you solve the proportion for x:

[tex]\frac{x}{40} =\frac{7}{35}[/tex]

x = 8

According to a Pew Research Center analysis of census data, in 2012, 15% of American adults ages 25 and older had never been married. If we repeatedly obtain random samples of 100 adults, what will be the mean  and standard error of the sampling distribution of sample proportions?

Answers

Answer:

........................

you already got the annswer but if you ever need math answers and or explanations asap use the app mathaway:) its super helpful

Three plane tickets to New York cost $2,472.If each plane ticket costs the same amount, about how much does one ticket cost?How much would the airline have to discount each ticket for the new total would be 2,400?

Answers

Answer:  824$ for each

and will have to discount 24$ for each ticket

Step-by-step explanation:  2472/3= 824

2400/3=800

824-800=24

After 10 years, the principal on this mortgage is $136,683. How much of the next payment will go towards interest ​

Answers

Answer: 13,668 i think.

In a shipment of 500 light bulbs, 25 of them were broken. What percentage of the light bulbs were broken?

Answers

Answer:

5%

Step-by-step explanation:

25/500 = .05 move the decimal twice to the right for percentage = 5%

Yeah 5 percent would be correct

que es un cuadrilactero​

Answers

Answer:

Mira abajo

Step-by-step explanation:

un cuadrilátero es una forma con 4 lados y 4 vértices

Please help me out I’m struggling with these 2 questions

Answers

Answer:

im sorry i cant sorey uhhg

Choose the definition for the function PLS HELP

Answers

Answer:

Which function please explain

anyone PLEASE help!!! I will give brianliest

Answers

Answer:

its the second one.

Step-by-step explanation:

PLZZZZZZZZZZZZZZZZZZZZZZ HELP!

-3x+4=-2 show your work!!!

Answers

Answer:

x=2

Step-by-step explanation:

Quadrilateral HALK is congruent to quadrilateral FORT. Measurement of angle H= 60°
measurement of angle L= 152°, and measurement of angle T= 42°. What is measurement of angle A?

Answers

Answer:

(26(3)7_2-4,4×6×625

Step-by-step explanation:

11. If a motorist travels 100km in 2'/2
hours, what is his average speed in
km per hour?​

Answers

Answer:

= 40km/hours

Explanation:

Distance traveled: 100km

Time taken: 2 1/2 or (2.5) hours

Average speed:

100/2.5 = 40

The average speed in km per hour is 40 km/hour if a motorist travels 100km in 2 1/2 hours the answer is 40 km/hour.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

The complete question is:

If a motorist travels 100km in 2 1/2 hours, what is his average speed in

km per hour?​

We have:

The distance; a motorist travels  = 100 km

The time he takes = 2 1/2 hours

or

The time he takes = 5/2 hours

or

The time he takes = 2.5 hours

The average speed in km per hour = distance/time

The average speed in km per hour = 100/2.5

The average speed in km per hour = 40 km/hour

Thus, the average speed in km per hour is 40 km/hour if a motorist travels 100km in 2 1/2 hours the answer is 40 km/hour.

Learn more about the distance here:

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what is 12+12 and give good reson why

Answers

Answer:

24

Step-by-step explanation:

you have 12 of something and Are adding 12 to it.

help me please in this problem

Answers

I think it’s 12.67 I’m not so sure

Find endpoints on a standard normal distribution with the given property. The area between is about 0.88 . Round your answers to three decimal places and place the endpoints in increasing order.

Answers

Answer:

-1.555 and 1.555

Step-by-step explanation:

For a standard normal distribution:

P(- Ƶ ≤ Z ≤ Ƶ) = 0.88

The normal distribution on the curve is symmetrical about Z = 0

Thus

P( -Ƶ ≤ Z ≤ 0) = P( 0 ≤ Z ≤ Ƶ)

However;

This implies that:

P( -Ƶ ≤ Z ≤ 0)  +  P( 0 ≤ Z ≤ Ƶ) = 0.88

2P ( 0 ≤ Z ≤ Ƶ)  = 0.88

P( 0 ≤ Z ≤ Ƶ) = 0.44

P(Z ≤ Ƶ) - P( Z ≤ 0) = 0.44

Since P(Z ≤ 0) = 0.50

P(Z ≤ Ƶ) = 0.44 + 0.50

P(Z ≤ Ƶ) =  0.94

From the probability value table

z = 1.555

Thus the endpoints are:

-1.555 and 1.555

In a geometry class, students are asked to describe the dimensions of a plane based on the components that create a plane. Which student’s response is correct? Mark states that a plane has zero dimensions because it is made up of three noncollinear points. Stacy states that a plane has two dimensions because it is made up of an infinite number of lines. Dewayne states that a plane has one dimension because it contains the line intersecting two points. Candice states that a plane can have multiple dimensions depending on how many points are labeled.

Answers

Answer:

stacy's response is correct.

Step-by-step explanation:

in geometry class, they are asked to describe the dimensions of a plane based on the components that create a plane. stacy states that a plane has two dimensions because it is made up of an infinite number of lines.

Answer:

Stacy

Step-by-step explanation:

the definition of a plane is "a plane is a flat, two-dimensional surface that extends infinitely far. A plane is the two-dimensional analogue of a point, a line and three-dimensional space" so stacy has to be right

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