The high temperatures (in degrees Fahrenheit) of a random sample of 5 small towns are: 99.6 99.7 97.9 98.6 97.7 Assume high temperatures are normally distributed. Based on this data, find the 99% confidence interval of the mean high temperature of towns. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place).

Answers

Answer 1

Answer: (97.63, 99.77)

Step-by-step explanation:

Given the data:

99.6 99.7 97.9 98.6 97.7

Using calculator, we can obtain the mean and standard deviation of the sample data:

Mean(m) = 98.7

Standard deviation = 0.93

Sample size (n) = 5

Using the relation to find confidence interval :

Mean ± Zcrit * (s/√n)

Zcrit at 99% = 2.576

98.7 ± 2.576 * (0.93 / √5)

Lower limit : 98.7 - (2.576 * 0.4159086) = 97.6286194464 = 97.63 ( 1 decimal place)

Upper limit : 98.7 + (2.576 * 0.4159086) = 99.7713805536 = 99.77 ( 1 decimal place)

(97.6, 99.8)


Related Questions

heheheheh hehehehehhehehehehehehheheh

Answers

Answer:

cscsc

Step-by-step explanation:

zcscc

Answer:

hehehehehehehehehehehehehehehehehehehehehehehehe

Step-by-step explanation:

lelelelelelelelelelelelelelelelelelelelelelelelelelelelelelelelelelele

Chicken Nuggets.

Help plz! ^-^ will give brainliest!

Answers

I think you forgot to attach the picture!

4 + 1/3. and 4/5 + 1/3

Answers

Answer:

4 + 1/3 = 13/3

4/5 + 1/3 = 17/15

Step-by-step explanation:

Brain-List?

Answer:

1.) 4 1/3, 2.) 1 2/15

Step-by-step explanation:

4 + 1/3 is 4 1/3, I got this by adding the fraction to the whole number to make a mixed number. For 4/5 + 1/3, we need to find a common denominator, let's find the LCM (Lowest Common Multiple) of 3 and 5, the LCM is 15. Now, we need to multiply 1/3 by 5/5, and we need to multiply 4/5 by 3/3. This gets us 5/15+12/15. We only need to add the top numbers. This gets us 17/15. Since this is an improper fraction, we need to make it into a mixed number, this gets us 1 2/15. I hope this helps!

HELP ASAPP PLEASE!!!!!!!!!!!!!!

Answers

Answer:

I & III

Step-by-step explanation:

i believe that 1 and 3 are the correct answers

The distance Train A travels is represented by d = 90t, where d is the distance in kilometers and t is the time in hours. The distance Train B travels at various times is shown in the table. What is the rate of each train? Which train is going faster?

Answers

jsnsbsbwhevhehehdhdgevwggsvd ev what

1. Find x
2 find ab
3.Find bc

Answers

AC = 46

AB + BC = AC

(4x + 7) + (3x + 4) = 46

4x + 7 + 3x + 4 = 46

(4x + 3x) + (7 + 4) = 46

7x + 11 = 46

7x = 46 - 11

7x = 35

x = 35/7

x = 5

AB = 4x + 7

AB = 4(5) + 7

AB = 20 + 7

AB = 27

BC = 3x + 4

BC = 3(5) + 4

BC = 15 + 4

BC = 19

Rick had $20. He spent $10 on food, $6 on a movie ticket, and saved the rest.

( Pls answer both questions )

A. How much money did he save ?
B. What fraction of the total amount did he save ?

Answers

he saved $4
he saved 1/5

Answer:

He saved $4

1/5 of the total amount saved

Step-by-step explanation:

20 - 16 = 4

Solve 9 = 1 + 8x - 8.
OA) X= all real numbers
B) x = 2
OC) x = 8
OD) x= 10

Answers

The answer to the equation is B. X is equal to 2. Combine -8 + 1 which is -7 then add 7 to the 9 which is 16. Now we have 16=8x divide by 8 to get x then we have x is equal to 2

find the other endpoint given endpoint (-10,7) midpoint (6,2)

Answers

Answer:

(22;-3)

Step-by-step explanation:

if to calculate the coordinates of the given midpoint it needed to use:

[tex]x_{midpoint}=\frac{x_{endpoint1}+x_{endpoint2}}{2};[/tex]

[tex]y_{midpoint}=\frac{y_{endpoint1}+y_{endpoint2}}{2};[/tex]

then to calculate the coordinates of endpoint2, it needed to perform the substitution:

[tex]\frac{-10+x_{endpoint2}}{2}=6,[/tex]

[tex]2=\frac{7+y_{endpoint2}}{2},[/tex]

finally:

[tex]x_{endpoint2}=22;[/tex]

[tex]y_{endpoint2}=-3.[/tex]

answer this and i’ll give you extra points

Answers

Answer:

Option (5)

Step-by-step explanation:

Graph of a function f(x) = x represents a straight straight line (y = x), passing through the origin (0, 0).

As shown in the graph,

Let the equation of the given line is,

y = mx + b

Here, m = slope of the line

b = y-intercept

Since, the given line passes through two points (0, -1) and (-1, 2)

Slope of the line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{2+1}{-1-0}[/tex]

                                              = -3

y-intercept 'b' = -1

Therefore, equation of the line will be,

y = -3x - 1

And the function is,

g(x) = -3x - 1

Here, (-3) represents the reflection of parent function over the x axis, vertical stretch of the parent function by 3 units.

Followed by the shifting of parent function by 1 unit down.

Therefore, Option (5) is the answer.

if f(x) = -4x^2 - 5x + 2, what is f(3) ?

Answers

The value should be -49. Hope this helps.

Serena and Stacey are professional hairdressers who work at two different beauty salons in the city. Serena works for 8 hours and earns $112 Stacey is paid $75 for 5 hours of work. Who makes more money per hour?

Answers

Answer:

The answer is stacy.

Step-by-step explanation:

if you do 112 divided by 8 you get 14

if you do 75 divided by 5 you get 15

Stacey makes more because $75/5h=15$/h and $112/8h=14$/h

Which street is parallel to 2nd St?
A. 1st St.
B. 3rd St.
C. 4th St.

Answers

Answer:

it a

Step-by-step explanation:

does anyone know how to do this geometry problem?

Answers

Answer:  VW < VX < WX

========================================================

Explanation:

Let's start with the exterior angle 116 degrees.

The interior angle adjacent to this will add to 116 and we'll get 180

(interior angle) + (exterior angle) = 180

(angle VWX) + (angle VWY) = 180

(angle VWX) + (116) = 180

angle VWX = 180 - 116

angle VWX = 64

-----------------

Let's focus solely on the interior angles of triangle VWX

We found angle W to be 64. Angle X is given to be 44. Angle V is unknown, but we can solve for it like such

V+W+X = 180

V+64+44 = 180

V+108 = 180

V = 180-108

V = 72

--------------

The three interior angles of triangle VWX are:

V = 72

W = 64

X = 44

This will determine the order of the side lengths from smallest to largest. Recall that the smallest side of a triangle is always opposite the smallest angle. Similarly, the largest side is always opposite the largest angle.

Based on those V,W,X angle values, we know that

WX = longest side (since the angle opposite V = 72 is largest)

VW = shortest side (since X = 44 is the smallest angle and it is opposite VW)

The order of the sides is therefore:

VW < VX < WX

We don't involve point Y because it's not part of the triangle.

Check out the diagram below for a visual summary.

The ratio of green counters to blue counters is 4:5 what fraction of the counters are blue

Answers

Answer:

5/9

Step-by-step explanation:

The ratio of green counters to blue counters is 4:5 what fraction of the counters are blue

From the above question, we are given the ratio

Green counters: Blue counters

4 : 5

The sum of the proportion = 4 + 5 = 9 counters

Hence, the fraction of the counters are blue is given as 5/9

Write the equation of the line that passes through the points
(−7,−3)and (−2,−1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

The equation that passes through (−7,−3)and (−2,−1) is y=2/5x-1/5

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-1)-(-3)/(-2)-(-7)

m=2/5

y-y=m(x-x¹)

y-(-1)=2/5(x-(-2)

y+1=2/5x+4/5

-1 -1

y=2/5x-1/5

What is the equation 63=9j ?

Answers

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    63-(9*j)=0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  63 - 9j  =   -9 • (j - 7)

Equation at the end of step

1

:

STEP

2

:

Equations which are never true:

2.1      Solve :    -9   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2      Solve  :    j-7 = 0

Add  7  to both sides of the equation :

                     j = 7

solved

j = 7

Use a single digit times a power of 10 to estimate the number 0.00004167.
Rounded to the nearest hundred thousandth, the number 0.00004167 is
x 10
Written as a single digit times a power of ten, the estimate is
(Type whole numbers.)

Answers

Answer:

a. [tex]0.00004167 = 0.00004[/tex]

b. [tex]4* 10^{-5}[/tex]

Step-by-step explanation:

Given

[tex]0.00004167[/tex]

Solving (a): Round to the nearest hundredth thousandth

This means there would be 5 digits after the decimal.

So:

[tex]0.00004167 = 0.00004[/tex] -- (approximated)

(b) Express in standard form

A number in standard form has the following format;

[tex]a * 10^b[/tex]

Where

[tex]1 \leq a \leq 10[/tex]

So:

[tex]0.00004167[/tex]

becomes

[tex]4.167 * 10^{-5}[/tex]

This is because the decimal point was moved 5 places backwards

Approximate 4.167 to nearest integer; We have:

[tex]4* 10^{-5}[/tex]

Micheal has a total of 15 bills that are either 1$ bills or 5$ bills. If the total amount of money he has is 47$, how may 5$ bills does he have?

Answers

Answer:

Micheal has 8 $5 bills and 7 $1 bills.

Answer:

micheal has 8 5$ bills and 7 1$ bills

Step-by-step explanation:

8 x 5 = 40

7 x 1 = 7

40 + 7 = 47

8 + 7 = 15

What calculation would need to be done to solve the following equation:

2x = 26

Answers

Answer:

13

Step-by-step explanation:

Answer:

Divide both sides by 2

Step-by-step explanation:

you need to isolate "x" which has a coefficient of 2 so to get rid of that you divide by two

2x=26

x-13

Find the distance between the points (-3, -6) and (5,9).
Hint: Use the Pythagorean theorem.

Answers

Answer:

The distance between the points (-3, -6) and (5, 9) is 15 units.

Step-by-step explanation:

Given the points

(-3, -6)(5, 9)

First, we need to find the distance between the two x-coordinates. For this, we need to count the distance from 0 to another point. Then we just add them together.

i.e.

-3 to get to 0 takes 3 units

0 to 5 takes 5 units

3+5=8 units

Just do the same for y-coordinate

From -6 to 0 takes 6 units

0 to 9 takes 9 units

6+9 = 15 units

Therefore, we get the base and height.

Now using the Pythagoras' Theorem to find the distance:

c² = 8² + 15²

c² = 289

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]c=\sqrt{289},\:c=-\sqrt{289}[/tex]

[tex]c=17,\:c=-17[/tex]

As the distance can not be negative.

so

c = 15 units

Thus, the distance between the points (-3, -6) and (5, 9) is 15 units.

which numbers are rational A)-4.34
B)0.43222
C)7.234156

Answers

Answer:

C

Step-by-step explanation:

The other 2 aren't rational numbers

I am not completely confident in my answer, so lmk if it's right

The ratio of boys to girls in a choir is
3 to 8. There are 32 girls in the choir. How many
members are in the choir?

Answers

Answer:

there are 12 boys because 32/8 =4 and the ratiots 3 to 8 which means you need to multiply 3 by 4 which gives you 12

Step-by-step explanation:

Answer:

44 members

Step-by-step explanation:

Because to find out the number of members first you have to find out the number of boys in choir

Divide total number of girls (32) by ratio number (8) and you get 4

Multiply the 4 you got by the ratio of boys (3), you get 12 when you multiply these together

Add the total number of boys in choir (12) and number of girls (32) and you get 44 members!

Good day to you and I hope you like my explination.

Find the missing value

Answers

the missing value is 6

The first 5 terms of a sequence are shown below:
3, -2, -7, -12, -17
Which expression can be used to find the nth term?

Answers

Step-by-step explanation:

To find the formula for the nth term ,

First , find the common difference or common ratio.

Common difference =

[tex]T_2-T_1 \\ - 2 - 3 \\ = - 5[/tex]

Common ratio =

[tex]T_2/T_1 \\ \frac{ - 2}{3} [/tex]

The common difference applies to the other given numbers for example :

[tex]T_3- T_2 = - 7 - ( - 2) \\ = - 7 + 2 = - 5[/tex]

this proves that it is an arithmetic sequence and the given formula for the nth term of an arithmetic sequence is

T_n =a(n-1)d

Where n = no of terms

a= first term

d= common difference

Help plz the problem is in the photo

Answers

Answer:

25 = 50%

37.50 = 75%

75 = 150%

Step-by-step explanation:

We know that 50 is 100% so we can work with that.

We also know the percentages increase by 25% for every $12.5.

12.50 + 12.50 = 25

25 + 12.50 = 37.50

62.50 + 12.50 = 75

25 = 50%

37.50 = 75%

75 = 150%

I hope this helps and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

first line is- first blank is 25 second blank is 37.5 third blank is 75

bottom line is- first blank is 50%. second blank is 75%. third blank is 150%

Georgia bought pears for $6.14. The price of pears is $1.10 per pound. How many pound of pears did she buy? (Round your answer to the nearest hundreths place. )

Answers

Answer:

5.58

Step-by-step explanation:

Given f(x) =5 - 3x, if f(x) = -19, find x

Answers

5 - 3x = -19
-3x = -24
Divide by -3
Solution: x = 8

Help me please i beed this now

Answers

Answer:

well 5% of 600 is 30. so if you make 600 phone calls and an average of 5% of those calls are people signing up, then that would be 30.


Which three lengths could be the lengths of the sides of a triangle?
A. 6 cm, 23 cm, 11 cm
B. 10cm, 15cm, 24cm
C. 22 cm, 6 cm, 6 cm
D. 15 cm, 9 cm, 24 cm

Answers

Answer:

D. 15 cm, 9 cm, 24 cm

Step-by-step explanation:

The three lengths that could be the lengths of the sides of a triangle, must satisfy the following condition;

---sum of any two smaller sides chosen must be equal to the third side.

Test option A : 6 cm + 11 cm = 17 cm  ( 17 cm ≠ 23 cm)

Test option B: 10 cm + 15 cm = 25 cm (25 cm ≠ 24 cm)

Test option C: 6 cm + 6 cm = 12 cm (12 cm ≠ 22 cm)

Test option D: 15 cm + 9 cm = 24 cm (24 cm = 24 cm) ---correct option.

Thus, the three lengths that could be the lengths of the sides of a triangle are 15 cm, 9 cm, and 24 cm

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Wallpaper costs $16 per roll, and border costs $9 per roll. If 12 rolls of wallpaperand 6 rolls of border are needed for one room, find the total cost of thewallpaper and border. Find the value of the missing angle in the triangle below: Which expression is equal to 432 2A. 16B. 42C. 32D. 16 2 A store sell canned fruit in two sizes. A 24 ounce can for $2.63 and a 3.9 ounce can for $0.52. Which is the better buy? Explain (tell how much each would cost for 1 ounce) INEED HELP ASAP I WILL MARK BRAINLYLIST!!!! A store sold 156 boxes of candy canes over the holiday season. Each box contained 12 candy canes. How many candy canes were sold in all? 2 Na + Cl2 --> 2 NaClAccording to the balanced equation above, how many Lof Cl2 at STP areneeded to completely react with 25.0 g Na? Discuss cultural competency. Relate cultural competency to the health system. Explain how cultural competency relates to confidentiality. -6x+2y=24answer for y need help quick its due at 9 HELPPPPP MEH!! plzzzz Here ya goo My christmas tree Find the value of.(4x-18). 18. 54. 60D. 72 PLZ HELP if u know the amswer Write the code for the method getNewBox. The method getNewBox will return a GiftBox that has dimensions that are m times the dimensions of its GiftBox parameter, where m is a double parameter of the method. For example, given the following code segment: GiftBox gift = new Gift Box (3.0, 4.0, 5.0): The call getNewBox , 0, 5). would return a GiftBox whose dimensions are: length = 1.5, width = 2.0, and height = 2.5 . Unit 8: Right Triangles & Trigonometry Date: Bell: Homework 3: Trigonometry: Ratios & Finding Missing Sides In the diagram at right, which letter, with regards to W, is the angle of depression? Question 10A new type of plant was discovered on a newly-formed volcanic island. The island is huncmiles away from the mainland. Which hypothesis best explains how the plant arrived?o It was carried there by wind or waves.O It spontaneously generated.O It was carried there by humans.O It was already present in volcanic materials. Which of the following conditions is necessary to prove that a quadrilateral is a parallelogram? A. the diagonals bisect each otherB. The diagonals are congruentC. The diagonals are perpendicularD. The diagonals intersect on the perpendicular bisector of the two sides? When you are reading fiction, such as a short story, the person telling the story is the