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Agata [3.3K]
4 years ago
14

A study of commuting times reports the travel times to work of a random sample of 20 employed adults in New York State. The mean

is x⎯⎯⎯ = 31.25 minutes and the sample standard deviation is s = 23.7 minutes. What is the standard error of the mean?
Mathematics
1 answer:
Elodia [21]4 years ago
5 0

Answer:

The standard error of the mean = 5.14 mins

Step-by-step explanation:

Number of random sample (n) = 20

Mean(X) = 31.25 mins

Standard deviation (α) = 23.7 mins

Standard error of mean =

standard deviation / √sample size

= 23.7/√20

= 23.7/4.4721

= 5.14 mins

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Thomas drew a line of best fit for the scatter plot as shown. Enter an equation for the line of best fit in slope-intercept form
juin [17]

Answer:

Equation of line best fits the scatter plot is y = -\frac{30}{7} x + 108

Step-by-step explanation:

Let the equation of line be y = mx + c

where m = slope of line and c is the intercept on y -axis

from the graph intercept on y-axis is 108

and the slope of line is given by m = \frac{y_2 - y_1}{x_2 - x_1} where (x_2,y_2) and (x_1,y_1) is the points on line

let, points be (4,96) and (18,36)

on calculating this m = \frac{y_2 - y_1}{x_2 - x_1} = -\frac{30}{7}

Therefore equation of line best fits the scatter plot is y = -\frac{30}{7} x + 108

4 0
3 years ago
A credit union client deposits $3,300 in an account earning 6.5% interest, compounded annually. What will the balance of the acc
astra-53 [7]

Answer:

The balance of account at the end of 36 years is $31,849.29

Step-by-step explanation:

We are given the following in the question:

P = $3,300

r = 6.5% = 0.065

t = 36 years

The compound interest is given by:

A = p\bigg(1+\dfrac{r}{n}\bigg)^{nt}

where A is the amount, p is the principal, r is the interest rate, t is the time in years and n is the nature of compound interest.

Since interest is compounded annualy we use n = 1

A = 3300\bigg(1+\dfrac{0.065}{1}\bigg)^{36}\\\\A = \$31,849.29

Thus, balance of account at the end of 36 years is $31,849.29

6 0
3 years ago
PLZZ HELPP FAST WILL GIVE MEDAL!!
Afina-wow [57]
8 5 8 5 hopefully its right i'm not good at this kind of stiff
6 0
4 years ago
Kaya's family spends \$ 105$105 to rent a boat for 77 days. The total cost, cc, of the boat rental is proportional to the number
Anastaziya [24]

c = 15d

Step-by-step explanation:

find the value of the constant of proportionality k

k =  \frac{v}{d}

c =total cost

d =days

8 0
2 years ago
Y=1/4x + 8 what would be the slope and the y-intercept
boyakko [2]

slope intercept form is: y = mx + b

m = slope

b = y-intercept

In the equation y = 1/4x + 8

m = 1/4 = slope

b = 8 = y-intercept

6 0
3 years ago
Read 2 more answers
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