The owner of a smart watch would like to estimate the mean number of steps they take per day. To do so, they select a random sample of 30 days from the previous year's data and record the number of steps they took on each of those days. The mean number of steps taken per day was 8,575 with a standard deviation of 2,125 steps. What is the value of the standard error of the mean?
O 70.833 O 387.970 O 394.603 O 2,125​

Answers

Answer 1

The standard error is an estimate of the standard deviation of the sampling distribution. The value of the standard error of the mean is 387.970.

What is the standard error?

It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

Suppose that we're given that:

Population standard deviation = σ

Size of the sample we're working on = n

Then, the standard error can be calculated as:

[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]

where SE denotes the standard error.

The standard error of the mean can be written as,

SE = σ/√n

SE = 2,125/√30

SE = 387.970

Hence, the value of the standard error of the mean is 387.970.

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Related Questions

please do answer:

Simplify the expression---5x-2y + 3x + 2y

(100 points)

Answers

5x-2y+3x+2y

Combine like terms

5x+3x-2y+2y(5+3)x+(-2+2)y8x+08x

Answer:

8x

Step-by-step explanation:

Given expression:

[tex]5x - 2y + 3x + 2y[/tex]

As we know, any negative integer being added by itself is 0. [-2y + 2y = 0]

[tex]\implies 5x - 2y + 3x + 2y[/tex][tex]\implies 5x + 3x + 0[/tex]

Collect like terms and simplify;

[tex]\implies 5x + 3x + 0[/tex][tex]\implies x(5 + 3) + 0[/tex][tex]\implies x(8) + 0 = \boxed{8x}[/tex]

Therefore, 8x is the simplified term.

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Hello, help me please with explanation)

Answers

Answer:

hope this will help you sorry if the answer is wrong

Which table of values was used to create the scatterplot below? A graph titled Fundraiser Amounts has Day of Fund Drive on the x-axis and Money Raised (dollars) on the y-axis. Points are at (1, 200), (2, 300), (3, 200), (4, 400), (5, 300). A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 400, 200, 300. A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 200, 300, 400. A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 200, 400, 300. A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 200, 300, 400, 300.

Answers

The table of values used to create the scatterplot below is:

Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 200, 400, 300

Which table of values was used to create the scatterplot below?

The graphs x axis represents the Day of Fund Drive and  y axis represents Money Raised.

The ordered pairs from the plot are:

(1, 200), (2, 300), (3, 200), (4, 400), (5, 300)

Therefore, the table of values used to create the scatterplot below will be:

Day of Fund Drive      Money raised (dollars)

1                                           200

2                                          300

3                                          200

4                                          400

5                                          300

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Answer:

C.

Step-by-step explanation:

Edge 2023

If cos43=p, determine.without the use of a calculator,the value of each of the following in terms of p

Answers

We need to calculate the value of cos(43) to determine the value of p

How to evaluate the expression?

The equation is given as:

cos43 = p

Rewrite properly as:

cos(43) = p

Rewrite the equation as:

p = cos(43)

The above means that we simply calculate the value of cos(43) to determine the value of p

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Find the slope of a line parallel to -3x+7y=-15

Answers

Answer:

[tex] \boxed{\rm \: Slope = 3/7 \: x}[/tex]

Step-by-step explanation:

Given :

3x+7y=-15

To Find:

The slope

Solution:

Well,to find out the slope of the line here, we'll need to re-write the fully solved equation into slope - intercept form.

[tex] \boxed{ \rm \: y = mx = b}[/tex]

Here,

m = slopeb = y - intercept.

[Add 3x to both sides to the original equation:]

[tex] \rm \: 7y = - 15 + 3x[/tex]

Divide each term in this equation by 7:

[tex] \cfrac{7y}{7} = \cfrac{ - 15}{7} + \cfrac{3x}{7} [/tex][tex] \rm \: y = \cfrac{ - 15}{7} + \cfrac{3x}{7} [/tex]

Now rewrite this equation into slope-intercept form.

[tex]y = mx + b[/tex]

Plug values.

[tex]y = \cfrac{3x}{7} - \cfrac{15}{7} = \cfrac{3}{7} x - \cfrac{15}{7} [/tex]

> So , y - intercept is 15/7> Slope m is 3/7 x.

Hence,we can conclude:

The slope of the line parallel to -3x+7y=-15 is 3/7 x.

[tex] \rule{225pt}{2pt}[/tex]

Identify the range of the function shown in the graph

Answers

Answer:

0 ≤ y ≤ 8

Step-by-step explanation:

DOMAIN is x values of a function/graph

RANGE is the y-values that a function can have .....

     this one goes from 0 to 8 inclusive

y=-x-3
y=4x-5
2x-y=-2
x+y=4
3x+4y=-12
Y'ALL I NEED SOME SERIOUS HELP, ANYBODY KNOW THE ANSWERS?​

Answers

Answer: Heyaa! :)

1. y=-x-3 = -1

Slope:  −1

y-intercept: (0,−3)

2. y=4x-5 = 4

Slope: 4

y-intercept: (0,−5)

3. 2x-y=-2 = 2

Slope: 2

y-intercept: (0,2)

4. x+y=4 = 1

Slope: −1

y-intercept: (0,4)

5. 3x+4y=-12 = - 3/4

Slope: −3/4

y-intercept:

(0,−3)

Hopefully this helps you!

- Matthew

Can anyone please solve this for me right now?

Answers

The width of the path when the length of the outer rectangle is 26+2x and width of it is 18+2x is 4 meters.

What is the area of a rectangle?

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

A=a×b

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

The length of the outer rectangle is 26+2x and width of it is 18+2x. The area of this rectangle is 884² m. Thus,

A=a×b

884=(26+2x)×(18+2x)

884=468+52x+36x+4x²

4x²+88x-416=0

Divide both side with 4,

x²+22x-104=0

x²+26x-4x-104=0

x(x+26)-4(x+26)=0

(x+26)(x-4)=0

x=-26,4

Take the positive value 4. The width of the path is equal to x which is 4 meters.

Hence, the width of the path when the length of the outer rectangle is 26+2x and width of it is 18+2x is 4 meters.

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Please show work and thank you

Answers

Answer:

  x = 6

Step-by-step explanation:

A 45-45-90 isosceles right triangle has side lengths in the ratios ...

  1 : 1 : √2

__

That is, the longest side (marked x in this figure) is √2 times the length of the other two equal-length sides.

  x = (√2)×3√2 = 3×2

  x = 6

What is the length of the two equal sides?
What is the length of the third side?

Answers

Answer:

Two equal sides: 15 centimeters, Third side: 21 centimeters

Step-by-step explanation:

Sorry If I'm late, so how I solved this was by using variables and algebra. The perimeter of a triangle is the sum of all three sides. Let's now break down the problem and use the useful information, we know that the perimeter is 51 centimeters, and that there are two equal sides and the third side is 6 inches longer than the two equal sides. So it is pretty much an isosceles triangle since it has two sides of equal length and the third side is not equal to the others. So we can make an equation with variables. 51(Perimeter)=x(first equal side)+x(second equal side)+x(third side)+6(The third side is 6 centimeters longer than the two other sides), now we simplify the equation just like we do with most algebraic equations. x+x+x can be turned into 3x. This now makes the equation 51=3x+6, we can subtract 6 from both sides to just have the variable on one side, 3x+6-6, both sixes cross out making it 3x, 51-6 is equal to 45. Now we divide by three on both sides to give just x and find out what x is. 3x/3=x and 45/3=15. x=15, x is the equal side length, so the two equal sides are 15 centimeters and the third one is 21 centimeters. The reason for this is because 15+6=21. I hope this helped with your learning, if I am wrong please tell me :)

If l is parallel to m in the following figure, find the measure of x

Answers

Check the picture below.

3X minus 2Y is equal to or greater than or equal to four

Answers

Answer:

3x- 2y

Step-by-step explanation:

its defintly not = to four because you cant subtract two diffrent varibles so it should be less then

A doctor claims that the mean number of hours of sleep that seniors in high school get per night differs from the mean number of hours of sleep college seniors get per night. To investigate, he selects a random sample of 50 high school seniors from all high schools in his county. He also selects a random sample of 50 seniors from the colleges in his county. He constructs a 95% confidence interval for the true mean difference in the number of hours of sleep for seniors in high school and seniors in college. The resulting interval is (0.57, 1.25). Based upon the interval, can the doctor conclude that mean number of hours of sleep that seniors in high school get per night differs from the mean number of hours of sleep college seniors get per night?

yes because 1 is in the confidence interval
yes because 0 is not in the confidence interval
no because 1 is in the confidence interval
no because 0 is not in the confidence interval

Answers

Considering the given confidence interval, the correct option regarding the conclusion of the hypotheses test is given by:

yes, because 0 is not in the confidence interval.

What are the hypotheses tested?

At the null hypotheses, it is tested if the difference is equals to zero, that is:

[tex]H_0: \mu = 0[/tex].

At the alternative hypotheses, it is tested if it is different, hence:

[tex]H_1: \mu \neq 0[/tex].

The confidence interval is (0.57, 1.25). Since it does not contain 0, there is enough evidence that the difference is different of 0, hence the correct option is given by:

yes, because 0 is not in the confidence interval

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Explain the meaning of the scale 1 :2.5

Answers

1:25 means that 1 ‘unit’ on the plan is 25 ‘units’ in real life, so 1cm= 25cm, 1ft= 25ft

Compare 4 and -2. Which of the following is true?

Answers

Answer:

Your answer is A.

Step-by-step explanation:

Absolute values of any number are positive.

|4| = 2

|-2| = 2

2 = 2 and 4 > -2

C and D can be true, but they are not since less than or greater than doesn't apply if they were less than/greater than or equal, then yes.

Find the volume of a bird seed box with the following dimensions:
h = 26 cm
W = 10 cm
I = 17.5 cm

Answers

the answer is : 4,550

To rationalize a denominator that has more than one term, you multiply the
fraction by B+ B, where B is the conjugate of the denominator.

Answers

Answer:

False.

Explanation:

To rationalize a denominator that has more than one term, you multiply the fraction by [tex]\frac{b}{b}[/tex], where "b" is the conjugate of the denominator not the numerator.

false

you multiply both the denominator and the numerator not just the fraction.

Subtract;
233.66-66.24
43.12-21.11
24.6-19.777​

Answers

Answer:

1. 167.42

2. 22.01

3. 4.83

233.66-66.24 = 167.42

43.12-21.11 = 22.01

24.6-19.777 = 4.823

Can someone please solve this for me using that method thank you I give brainliest

Answers

First factor x^2+13x+36 using the AC method. Then if any individual factor on the left side of the equation is equal to zero the whole expression will equal zero. After that set x+4 equal to zero and solve for x and do the same for 9. Lastly your answer is all the values of (x+4)(x+9)=0 true.

please help me do my mathematics assignment experts​

Answers

Step-by-step explanation:

try this option, note: 1) task 'd' is solved only; 2) the answer is marked with green colour.

A race course is 26.2 miles long. Of the entire race course, 5% is uphill. How many miles of the race course are uphill?

Answers

Answer:

1.31 miles of the race course are uphill

Step-by-step explanation:

Divide 5 × 26.2 miles by 100 and you'll get 1.31 miles.

Hope this helped :)

1.31. In a calculator add the equation “26.2” then click the add button and press“5” then continue to click the percentage button!!!! Hope this helps!!!

Btw if you are using a school calculator I don’t think my you can use the percentage, so if so use the phone one

Bao owns a small business selling used books. She knows that in the last week 60 customers paid cash, 3 customers used a debit card, and 27 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a credit card as a fraction in simplest form.

Answers

Answer:

It would be a 3/10 or 30% chance.

Answer:

Step-by-step explanation:

3/10 or .30 or30%

a line passes through the point (-9,1) and has a slope of 4/3. Write an equation in slope-intercept form for this line.

Answers

Answer:  y=4/3x+1

Step-by-step explanation:

The formula is Y=mx+b

b is the y-intercept and MX is slope

Determine all missing angles below.

Answers

Answer:

  a = 60, b = 19, c = 101, d = 79, e = 50

Step-by-step explanation:

Relations that are helpful here are ...

vertical angles are congruentan exterior angle is equal to the sum of the opposite interior anglesthe sum of angles forming a straight angle is 180°the sum of angles in a triangle is 180°

__

Using these relations, we can find the unknown measures.

 a° = 60° . . . . . these are vertical angles

  51° +b° +110° = 180°   ⇒   b° = 180° -161° = 19° . . . . straight angle

  a° +b° +c° = 180°

  c° = 180° -60° -19° = 101° . . . . sum of angles in a triangle

  d° = 180° -101° = 79° . . . . . straight angle

 e° = c° -51° = 50° . . . . . c° is exterior to the triangle

How long will it take to triple a sum of money if it is invested at a rate of 6.25% compounded continuously? Round your answer to 2 decimal places.

Answers

Answer:

So the answer is approximately 18 years

Step-by-step explanation:

Your interest rate is 6.25%, or, 0.0625

A=P⋅(1+(r/n))^nt

Where:

P is the initial amount

r is annual rate of interest

t is number of years

A is the final amount of money

n is the number of times the interest is compounded per year

So

3P=P(1+0.0625)

3P=P (1.0625)^t

3=1.0625^t

Now we should use logarithmic functions.

ln(3)=t⋅ln(1.0625)

ln(3)ln(1.0625)=t

t=18.12 years

Solve for in each of the following statements. ( is the smallest positive integer to make each statement true.)

5+43≡ 9


18 − 12÷3≡ 5


3+5≡0 11

Answers

There is no variable unfortunately

We have to change question little bit

#1

5+43=9x9x=48x=48/9

#2

Rest are also meaningless as there is no variable

#3

(3+5)x=0.118x=0.11x=0.11/8

A water park has pools, slides, and rides
that, in total, make use of 4.6 x 10^5
gallons of water. They plan to add a ride
that would make use of an additional
6.7 x 10^4 gallons of water. Use scientific
notation to express the total gallons of
water made use of in the park after the
new ride is installed.

Answers

Answer:

  5.27×10^5 gallons

Step-by-step explanation:

Adding numbers in scientific notation requires that their powers of ten match. Here, we can rewrite the smaller number so its power of ten matches that of the larger number.

__

  4.6×10^5 +6.7×10^4

  = 4.6×10^5 + 0.67×10^5

  = 5.27×10^5

The park will use 5.27×10^5 gallons of water after the new ride is installed.

__

This kind of calculation can be done easily by your scientific calculator or a spreadsheet. You may have to set the display mode to scientific notation.

what is the measure of BDC?

Answers

55. the central angels are the same, so the arc measure is the same
answer ~ 55

Explanation ~ because the book said so > : )

Tge length of the front page is 30 centimeters and the width is 20 centimeters the side length picture is 7 centimeters

Answers

Answer:

A model of a shopping centre is drawn to scale where 1 cm on the model represent 4 m on the ground. Music shop Thabo's Sports Ware Fati's Clothing shop Grocery store PARKING Coffee shop Toilets Restaurant Shoe store Physiotherapy Health and Fitness center 1.1 Which shop is on the right of the physiotherapy? (2) 1.2 Describe the position of the Coffee Shop in relation to the Toilets. (2)

∆ABC is mapped to ∆A'B'C' using each of the given rules in the table below. Place a checkmark in the correct column for each mapping to state if the resulting mapping would make ∆ABC congruent or not congruent to ∆A'B'C'.

∆ABC is congruent to ∆A^' B^' C'
∆ABC is NOT congruent to ∆A^' B^' C'

(x,y) → (x+5,y)

(x,y) → (5x,5y)

(x,y) → (.5x,.5y)

(x,y) → (x,-y)

(x,y) → (-x,-y)

Answers

For reference you can look at the attachment

I have taken three points (1,1),(2,1),(3,3)

Then converted them accordingly

#1(Graph 2)

Yes

#2(Blue dots on graph 1)

No

They are similar but not equal

#3(Purple dots)

No

Similar but not equal

#4(Green dots)

Yes

#5(Black dots)

Yes

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