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strojnjashka [21]
3 years ago
13

The proportion of students in a psychology experiment who could remember an eight-digit number correctly for t minutes was 0.9 −

0.4 ln(t) (for t > 1). Find the proportion that remembered the number for 7 minutes. (Round your answer to one decimal place.)
Mathematics
1 answer:
kaheart [24]3 years ago
8 0

Answer:

The proportion would be 0.1

Step-by-step explanation:

Given, the function that shows the proportion of students in a psychology experiment who could remember an eight-digit number correctly for t minutes,

f(t) = 0.9 - 0.4\ln(t)

If t = 7 minutes,

f(7) = 0.9 - 0.4\ln(7)=0.9 - 0.77836=0.12164\approx 0.1

Hence, the proportion that remembered the number for 7 minutes is 0.1 ( approx )

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Blababa [14]

Answer:

SSS, UVD, the answer is D

Step-by-step explanation:

90/9 = 10

70/7 = 10

80/8 = 10

triangle LMN congruent triangle UVD

6 0
3 years ago
Suppose you can work at most a total of 25 hours per week. Baby-sitting, x, pays $6 per hour and working at the grocery store, y
Andrei [34K]

Answer:

<u><em>y=7  </em></u><u>number of hours at grocery store</u>

<u><em>x=18 </em></u><u>number of hours at baby- sitting</u>

Step-by-step explanation:

According to the information provided.

x is number of hours at baby- sitting

y is number of hours at grocery store

total number of hours worked

<em>1) </em><em>x+y =25</em>

total earn in a week

<em>2) </em><em>x*$6 + y* $9 = $171</em>

<em />

<em>from equation 1</em>

x+y=25

x= 25-y

<em>we place the above derived equation in equation 2 </em>

x*$6 + y* $9 = $171

(25-y)*$6 + y* $9 = $171

(25*6) -6y +9y =171

150+3y=171

3y=171-150

3y=21

<u><em>y=7  </em></u><u>number of hours at grocery store</u>

x= 25-y

x= 25-7

<u><em>x=18 </em></u><u>number of hours at baby- sitting</u>

3 0
3 years ago
The Johnson family had a meal catered for a wedding rehearsal dinner. The cost of the dinner was $476. There was a 5% sales tax
Natasha2012 [34]

5% of 476 =0.05*476

1) If the tips were left from the cost of dinner including sale taxes

15 % tips would be (476+0.05*476)*0.15.

2) If tips would be left only from the cost of the dinner it would be

0.15*476

Total cost = cost of dinner +tax+tips

<h3>How does sales affect cash flow?</h3>

Sales growth affects cash flow in two ways: through the growth effect and through the impact on management's choice of how to handle it. Growth in sales affects all other revenue-generating activities that appear on the organization's balance sheet or income statement.

1)    for the case when tips left from the sum of cost of the dinner and taxes

total cost = 476 +0.05*476 +  (476+0.05*476)*0.15=574.77

2) for case when tips left only from the cost of the dinner

total cost = 476 +0.05*476 +0.15*476 = 571.20

Sales growth has an impact on cash flow in two ways: directly through the growth effect and indirectly through the management's decision-making process. Sales growth has an impact on all other revenue-generating activities that are shown on the balance sheet or income statement of the company.

Dinner cost plus taxes and tips equals the total cost.

1) For the case where taxes and the cost of the meal plus tips are subtracted

$574.77 ($476 + 0.05*476 + (476 + 0.05*476)*0.15) is the total price.

2) if only the dinner tab was taken from the tips

Total cost: 571.20 ($476 + 0.05 * 476 + 0.15 * 476).

Normally, taxes and tips are subtracted from the total amount, so perhaps you should choose Option 1).

To learn more about sales affect cash flow refer to:

brainly.com/question/24179665

#SPJ1

5 0
1 year ago
A line passes through the points (0, 9) and (9, 19). What is its equation in slope-intercept form?
STatiana [176]

Answer:

y = 10/9x + 9

Step-by-step explanation:

To write the equation in its slope-intercept form, y = mx + b, we need to find the slope (m) of the line and its y-intercept (b).

Given the points (0, 9) and (9, 19), we can solve for the slope of the line using the following formula:

m = \frac{y2 - y1}{x2 - x1}

Let (x1, y1) = (0, 9)

and (x2, y2) = (9, 19)

Substitute these values on the formula:

m = \frac{y2 - y1}{x2 - x1} = \frac{19 - 9}{9 - 0} = \frac{10}{9}

Therefore, the slope (<em>m </em>) = 10/9.

Next, the <u>y-intercept</u> is the point on the graph where it crosses the y-axis, and has the coordinates, (0, <em>b </em>). It is also the value of the y when x = 0.

One of the given points is the y-intercept of the line, given by (0, 9). The y-coordinate, 9, is the value of b.

Therefore, the linear equation in slope-intercept form is: y = 10/9x + 9

3 0
2 years ago
Suppose each square on the grid shown is 1 cm by 1 cm. Estimate the area of the figure.
finlep [7]

Answer:

10cm cm2

Step-by-step explanation:

5 0
3 years ago
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