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Nana76 [90]
3 years ago
6

A teacher collects data on the number of hours, s, his students spend studying and the number of hours, t, they spend watching T

V each day. He finds that there is a negative linear association between s and t that is best modeled by the equation s=−0.5t+3.6 .
What is the meaning of 3.6 in this equation?
Mathematics
1 answer:
Sidana [21]3 years ago
5 0
Since there is a negative correlation, evident by the negative slope of the equation of the line given to be -0.5, if we take t as 0, we get an equation of,
                                            s = 3.6
This means that if a student does not watch television, he or she spends a maximum of 3.6 hours studying. 
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Question 9 of 10 Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the same value
hodyreva [135]

The TVM solver is a tool found in graphing calculators, that solve Time Value of Money problems.

The group of values that will return the same value as the given expression is;

D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

<h3>What is Present Value?</h3>

Present value (PV) formula finds application in finance to calculate the present day value of an amount that is received at a future date.

In the TVM solver, we have;

I = The annual percentage rate

N = n × t

t = The number of years

PV = Present value

PMT = Payment

P/Y = Number of payments per year = n

C/Y = Number of compounding periods per year = n

The formula for monthly payment is presented as follows;

P = \frac{M[(1+r/n)^{nt} - 1]}{(r/n)(1+r/n)^{nt}}

M = \frac{P.(r/n)(1+ r/n)^{nt} }{(1+ r/n)^{nt} - 1}

Therefore, we get;

Where;

M = PMT = -415

P = PV

r = I

P/Y = n = 12

Therefore;

0.003 = I/12

I = 0.003 X 12 = 3.6%

N = n X t = 24

The value of the equation is the present value, PV = ?

When payment are made based on the PV, we have FV = 0

The group of values the same value as the expression

P = \frac{(415)[(1+0.003)^{24}-1]}{(0.003)(1+0.003)^{24}}

when plugged into the TVM solver of a calculator is;

D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

Learn more about Present Value Solver from:

brainly.com/question/1759639

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7 0
2 years ago
In the rhombus,8y-6 . Find the value of y.
gregori [183]
I think that the answer to the question is 0.75
7 0
3 years ago
The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if paral
d1i1m1o1n [39]

Answer:

The following points are not arranged in a parallelogram or rectangle order.

Step-by-step explanation:

Well first we need to graph the following.

A(1,1) B(2,2) C(3,3) D(4,4)

By looking at the image below we can tell it is not any shape, it’s not a parallelogram or a rectangle.

It is a line with a slope of 1 or x.

8 0
3 years ago
Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 mont
solong [7]

Answer:

They should guarantee the lifetime of their batteries for 32 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 36 months and a standard deviation of 2 months.

This means that \mu = 36, \sigma = 2

If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries?

The guarantee should be the 2th percentile of lengths, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.

Z = \frac{X - \mu}{\sigma}

-2.054 = \frac{X - 36}{2}

X - 36 = -2.054*2

X = 31.89

Rounding to the closest month, 32.

They should guarantee the lifetime of their batteries for 32 months.

3 0
2 years ago
9. 2 1/8 + 1 5/12
MrMuchimi

Answer:

9) Exact Form:  85 /24     Decimal Form:  3.541 6    Mixed Number Form:  3  13 /24

10) Exact Form:  17 /18     Decimal Form:  0.9  4

11) Exact Form: 3 /5          Decimal Form:  0.6

Step-by-step explanation:

9) Convert the mixed numbers to improper fractions, then find the LCD and combine.

10) Simplify the expression.

11) To subtract fractions, find the LCD and then combine.

4 0
3 years ago
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