The weights of running shoes are normally distributed with an unknown population mean and standard deviation. If a random sample of 31 running shoes is taken to estimate the mean shoe weight, what t-score should be used to find a 98% confidence interval estimate for the population mean

Answers

Answer 1

Answer:

The t-score is t = 2.457.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 31 - 1 = 30

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 30 degrees of freedom(y-axis) and a one-tailed confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.457.

The t-score is t = 2.457.


Related Questions

The table shows the number of gallons of water

Answers

Answer:

Hello! answer: 360

Step-by-step explanation:

The rule is multiply by 30 I found this out by using the info shown in the table like...

120 ÷ 4 = 30 90 ÷ 30 = 3 60 ÷ 30 = 2 and so on matching up with the chart! so what I did was 12 × 30 to get the final answer to follow the pattern so... 12 × 30 = 360 therefore the answer is 360 HOPE THAT HELPS!

Solve for r.

K=4r-7s

r=

Answers

Answer:

[tex]r=\frac{k+7s}{4}[/tex]

Step-by-step explanation:

which polygon matches this set of ordered pairs?
A (1,3),B(1,9),c(4,9),d(4,3)

Answers

Answer:

B

Step-by-step explanation:

In desperate need. for answer 11 and 12.
Question 11 has to have an answer with explanation and
Question 12 has 3 parts. I need answers to all three with explanations for all three.

Answers

11. The answer would be 3:30 because in all it took her 3:50 minutes so subtract from 7:20 you get 3:30

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-6, 6) and (3, -6)

Answers

Answer:

[tex]\displaystyle d = 15[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-6, 6)

Point (3, -6)

Step 2: Identify

(-6, 6) → x₁ = -6, y₁ = 6

(3, -6) → x₂ = 3, y₂ = -6

Step 3: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                          [tex]\displaystyle d = \sqrt{(3--6)^2+(-6-6)^2}[/tex][√Radical] (Parenthesis) Subtract/Add:                                                           [tex]\displaystyle d = \sqrt{(9)^2+(-12)^2}[/tex][√Radical] Evaluate exponents:                                                                      [tex]\displaystyle d = \sqrt{81+144}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{225}[/tex][√Radical] Evaluate:                                                                                         [tex]\displaystyle d = 15[/tex]

Your neighbor's are building a dog pen in the shape of a right triangle. The legs of the triangular pen measures 9 meters and 12 meters. Find the perimeter of the enclosed space

Answers

Use the Pythagorean Theorem. If you find the sum of the two legs squared (81+144), you get 225. Take the square root and you get 15. Now add 9+12+15. The perimeter is the sum: 36.

Find the value of x. If necessary, write your answer in simplest radical form.
12
9

Answers

Answer:

3√7

Step-by-step explanation:

9²+B²=12²

simplify

81+B²=144

minus the 81

B²= 63

The first day of a water polo tournament the total value of tickets sold was $1540. One-day passes sold for $10
and tournament passes sold for $20. The number of tournament passes sold was 23 more than the number of day
passes sold. How many day passes and tournament passes were sold?

Answers

Answer:

59 tournament passes and 36 one-day passes were sold.

Step-by-step explanation:

Since the first day of a water polo tournament the total value of tickets sold was $ 1540, and one-day passes sold for $ 10 and tournament passes sold for $ 20, and the number of tournament passes sold was 23 more than the number of day passes. sold, to determine how many day passes and tournament passes were sold, the following calculation must be performed:

20 x 33 + 10 x 10 = 760

20 x 63 + 10 x 40 = 1,660

20 x 58 + 10 x 35 = 1,510

20 x 59 + 10 x 36 = 1,540

Thus, 59 tournament passes and 36 one-day passes were sold.

100 POINTS !!!! Let f(x)=√3x and g(x)=x-6 What's the smallest number that is in the domain of fog?

Answers

Answer:

6

Step-by-step explanation:

fog(x) = √3(x-6)

Domain => 3(x-6) ≥ 0

<=> x-6≥ 0

=> x ≥ 6

so, the smallest number is 6

As

(fog)(x)=f(g(x))

g(x)=x-6

f(g(x))

f(x-6)√3(x-6)

So

x-6≥0x≥6

Smallest no is 6

Find the value of the variable. Round decimal to nearest tenth if necessary. ​

Answers

Given:

In a right angle triangle,

Length of legs are x and 7.

Length of hypotenuse = y

Measure of angle between leg 7 and hypotenuse = 33 degrees.

To find:

The value of x and y.

Solution:

In a right angle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\tan (33^\circ)=\dfrac{x}{7}[/tex]

[tex]7\times \tan (33^\circ)=x[/tex]

[tex]7\times 0.6494=x[/tex]

[tex]4.5458=x[/tex]

Approximate the value to the nearest tenth.

[tex]x\approx 4.5[/tex]

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\cos (33^\circ)=\dfrac{7}{y}[/tex]

[tex]y=\dfrac{7}{\cos (33^\circ)}[/tex]

[tex]y=\dfrac{7}{0.83867}[/tex]

[tex]y=8.34655[/tex]

Approximate the value to the nearest tenth.

[tex]y\approx 8.3[/tex]

Therefore, the correct option is D.

HELPP!!! ALMOST OUT OF TIME

Answers

Answer:

option 2 is correct

Step-by-step explanation:

Another 2 btc please

HELP! PLEASEE I’ve been stuck!! I WILL GIVE BRAINLY,,, THANK YOU SM

Answers

Answer:

$119

Step-by-step explanation:

08:00 - 12:15 = 4hrs 15mins

13:00 - 17:15 = 4hrs 15mins

Total hours worked = 8hrs 30 mins

$14/hr

14 × 8 = 112

30 mins is half of an hour so 14/2 = 7

$7 for 30 mins

112 + 7 = 119

$119

hope this helps ^^

Find the 12th term of the geometric sequence 5, 20, 80, ...5,20,80

Answers

Answer:

a₁₂ = 20971520

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 5 and r = a₂ ÷ a₁ = 20 ÷ 5 = 4 , then

a₁₂ = 5 × [tex]4^{11}[/tex] = 5 × 4194304 = 20971520

Sove for X choose one. Pls

Answers

those arcs are congruent since the chords inside are congruent. so we can just make the equation
2x= x+40
which simplifies down to x=40

The x-intercept is the point on the x-axis where the line crosses it. The
y-coordinate of the line's x-intercept is always zero. The x-coordinate of the
x-intercept is the number where it crosses the x-axis. A line with an x-
intercept of (5,0) crosses the x-axis at the number 5. A line with an x-
intercept of (-5,0) crosses the x-axis at -5.
Which of these coordinates could be a line's x-intercept?
A
(3,1)
B
(0,-12)
С
(-5,4)
(-7,0)

Answers

Answer:

D

Step-by-step explanation:

1 gold plate weight 30 mg if the weight of some plates is 450 ml mg find the number of plates​

Answers

Answer:

15 plates

Step-by-step explanation:

450 divided by 30 = 15, meaning 30 x 15 would be 450 mg. This also means that if the weight of some plates was 450 mg, there would be 15 plates.

Answer:

15

Step-by-step explanation:

Your units are a little confused.

The mass (total ) is 450 mg

1 plate weighs 30 mg

1 plate / 30 mg  =  x plates / 450 mg             Cross multiply

1 * 450 = 30x                                                   Divide by 30

450 / 30 = x

x = 15

There are 15 gold plates.

Complete the blanks:

Horizontal lines have _____
slope and vertical lines have slope.
Horizontal lines have _______ equations that say __= any number.
Vertical lines have equations that say __= any number.

Answers

Answer:

Horizontal lines have __zero___

slope and vertical lines have   undefined   slope.

Horizontal lines have ___linear____ equations that say _y_= any number.

Vertical lines have equations that say _x_= any number.

Answer:

To write the equation of a horizontal line, we only need to specify where it intersects with the y-axis. This will look like y=k, where k is where the line crosses the y-axis.

The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept .

Step-by-step explanation:

Mark me brainliest plzzzzzzzzzzzzzzzzzzzzzz

You pick a card at random, put it back, and then pick another card at random. 3 4 5 6 What is the probability of picking a 5 and then picking a 3?

Answers

Answer:

1/16

Explanation:

You have a 1/4 chance both times but in probability you multiply when in a sequence of events. 1/4*1/4= 1/16

What is the length of a 50-inch TV that has a width of 27 inches?

Answers

Answer:

42.08inches

Step-by-step explanation:

Given data

SIze of TV= 50 inch

Width= 27inches

Length= ??

Applying Pythagoras theorem

z^2= x^2+y^2

50^2=  x^2+27^2

square root both sides

50^2= x^2+27^2

2500= x^2+ 729

2500-729=x^2

1771=x^2

x= √1771

x= 42.08

Hence the lenght is 42.08inches

if 7x - 9 equals 15, what is the value of 7x +1

Answers

Answer:

25

Step-by-step explanation:

First,

7x - 9 = 15

=> 7x = 15 + 9

=> 7x = 24

[tex] = > x = \frac{24}{7} [/tex]

Now putting its value in 7x + 1,

= 7x + 1

[tex] = 7 (\frac{24}{7} ) + 1[/tex]

[tex] = 7 \times \frac{24}{7} + 1[/tex]

= 24 + 1

= 25 (Ans)

7k-6,2k+14 solve for K

Answers

Answer:

0.8k +14

Step-by-step explanation:

See the steps below:)

Tell whether the triangles are similar.

Answers

Answer:

No.

Step-by-step explanation:

In similar triangles, all the angles are congruent.

b = 180 - 90 - 43 = 47

c = 180 - 90 - 48 = 42

1 set of angles is 90, 43, and 47

And the other is 90, 48, and 42.

Meaning the triangles are not similar.

Question 5 of 10
How many solutions over the complex number system does this polynomial
have?
2x4 – 3x3 – 24.x2 + 13x +12=0
Enter your answer as an integer.

Answers

Answer:

4 solutions

Step-by-step explanation:

if the equation is 2x^4 -3x^3 -24x^2 +13x +12 = 0 you look at the highest degree to find how many solutions. the degree being the highest exponent. so in this case it would be the exponent that is 4 so there should be 4 solutions.

g if we want to calculate a confidence interval of the difference of two proportions what is the standard error (do not pool for this answer)

Answers

Answer:

The standard error is [tex]s = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}+\frac{\pi_2(1-\pi_2)}{n_2}}[/tex], in which [tex]p_1,p_2[/tex] are the proportions and [tex]n_1,n_2[/tex] are the sample sizes.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The standard error is:

[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

For the difference of proportions:

For proportion 1, the standard error is:

[tex]s_1 = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}}[/tex]

For proportion 2, the standard error is:

[tex]s_2 = \sqrt{\frac{\pi_2(1-\pi_2)}{n_2}}[/tex]

For the difference:

The standard error is the square root of the sum of the squares of each separate standard error. So

[tex]s = \sqrt{(\sqrt{\frac{\pi_1(1-\pi_1)}{n_1}})+(\sqrt{\frac{\pi_2(1-\pi_2)}{n_2}})^2} = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}+\frac{\pi_2(1-\pi_2)}{n_2}}[/tex]

The standard error is [tex]s = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}+\frac{\pi_2(1-\pi_2)}{n_2}}[/tex], in which [tex]p_1,p_2[/tex] are the proportions and [tex]n_1,n_2[/tex] are the sample sizes.

Let BC=CD=12cm, and the length of arc BD=15cm. Find the area, in square centimeters, of sector BCD.

Answers

Answer:

option b : 90 sq. cm

Step-by-step explanation:

1) Area of circle with radius = 12cm

Area = π r^2

= 3.14 * (12) (12)

= 3.14 * 144

= approx 452.4

2) Circumference of circle with radius = 12cm

Circumference = 2πr

= 2 * 3.14 * 12

= approx 75 .4

3) Arc length = 15cm ......(given)

[tex] \frac{area \: of \: sector}{total \: area} = \frac{arc \: length}{circumference} [/tex]

[tex] \frac{area \: of \: sector}{452.4} = \frac{15}{75.4} [/tex]

[tex]area \: of \: sector \: = \frac{15 \times 452.4}{75.4} [/tex]

[tex] = \frac{6786}{75.4} [/tex]

[tex] = 90 {cm}^{2} [/tex]

Sam is practicing speed skating at an ice rink.The distance around the rink is 150 yards. He skated around the rink 5 times. How many feet did Sam skate

Answers

2250 feet
u multiply 150*5 and then convert 750 yards to feet
I believe 2250 feet because 150 yards is 450 in feet times 5 is 2250. hope this helps!

The sum of two numbers is -47 and their difference is one. Find the numbers. Separate with a comma.

Answers

Answer:

-23, -24

Step-by-step explanation:

Adding negative numbers gets you another negative number. Therefore the numbers must be -23 and -24.

What is the equation of the line that is parallel to y minus 3 x = 2 and that passes through (6,1)?

Answers

Answer:

y = 3x - 17

Step-by-step explanation:

y - 3x = 2

y = 3x + 2

Parallel slope (m) = 3

Passes through (6, 1)

Slope-intercept:

y - y1 = m(x - x1)

y - 1 = 3(x - 6)

y - 1 = 3x - 18

y = 3x - 17

hope this helps!! feel free to clarify

What clockwise rotation is equivalent to a 90° counterclockwise rotation?

Answers

Answer: 270°

Step-by-step explanation:

A full rotation is 360° so to find out the clockwise equivalent of a 90° counterclockwise rotation, deduct the counterclockwise rotation from 360°:

= 360 - 90

= 270°

If you rotated 90° counterclockwise, you would get to the same point as if you rotated 270° clockwise.

Name the postulate, if possible, that makes the triangles congruent. *​

Answers

it should be ASA since they told you that there are 2 angles and one side that are equal

Answer:

answer is ASA

Step-by-step explanation:

two triangles are congruent by angle side angle theorem.

Other Questions
Need help on both of these please I am really stressed out does anyone know the answers ? I'm stuck lol There is a _______ relationship between real GDP and tax revenues, which partially explains deficit spending during a recession.positivecontradictoryinconsequentialnegative True or false Greek city states joined together to form the Delian league Which of the following is a question of policy? a. Should a graduation exam be required? b. Should the government provide more aid to college students? c. Should high school students be required to study a foreign language? d. All of the above Please select the best answer from the choices provided A B C D PLEASE HELP ME!!!!!A medical examiner wants to examine the tissues of a dead victim during the autopsy. Which instrument should she use for this purpose?ALEDB.UV lampC.spectroscopeDstereoscopeEelectron microscope Select the correct answer from the drop-down menu. I need help please and thanks Y = 2x + 3 2 How does the equation of a line need to be changed to shift the line upward? 1 123 1 -3 -2 -1 -1 -2 A A. The absolute value of the slope needs to be increased. B. The absolute value of the slope needs to be decreased. C. The y-intercept needs to be increased. I REALLY NEED HELP!!! this is graded and plzzzz no links!!!!! What does the word elope mean? What is that chemical compound? ANSWER QUICK WILL GIVE BRIANLIESTA certain organism has many cells, each containing a nucleus. Inside the cells there is also an organelle that allows the organism to make its own food. This organelle gives the organism a unique color. This organism is best classified as _________.ArcaeaPlantaeaBacteriaAnimalia What is a natural resource is a huge part of the middle East's economy Dominant traits are....A. traits that everyone wants B. traits that are shown over other traits C. Traits that are hidden by other traits D. traits that no one wants HELP ME PLSWhat is the mass of a water molecule if the hydrogens each have one neutron and the oxygen has eight neutrons?a. 10b. 12c. 16d. 20 Please help !!!AEBPointis the vertex of the angle marked in the figure. Dose anyone know how to solve this? NO LINKS!!!Part 2. Decide if each pair of triangles below is similar. If the triangles are similar, justify your conclusion by stating the similarity condition you used. What social and scientific events from World WarII (middle 20th century) affect your life now? Explain.