Let M be the amount of money left on the card, t weeks after the beginning of the fall semester. enter a linear equation to model the data. use week 0 and week 14 to calculate the slope. round your slope to 2 decimal places.

Answers

Answer 1

The amount of money on the card decreases by $1.43 per week. The slope is a measure of the steepness of a line

The slope can be positive, negative, or zero. A positive slope means that the line slopes upward from left to right, which means that the value of the dependent variable (in this case, M) increases as the value of the independent variable (t) increases. A negative slope means that the line slopes downward from left to right, which means that the value of the dependent variable decreases as the value of the independent variable increases.

To find the linear equation that models the data, we need to find the slope of the line. The slope is calculated by using the formula:

slope =[tex](y_2 - y_1) / (x_2 - x_1)[/tex]

Where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are two points on the line. In this case, we can use week 0 and week 14 as our two points. Let's say that at week 0, M = $100 and at week 14, M = $80. Then the slope would be:

slope = ($80 - $100) / (14 - 0) = -$20 / 14 = -$1.43

So the linear equation that models the data is:

M = -$1.43 * t + $100

The missing part in the question is shown in the attachment.

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Let M Be The Amount Of Money Left On The Card, T Weeks After The Beginning Of The Fall Semester. Enter

Related Questions

A runner moves 8 miles every 1 minute. Write and graph an equation in two variables that shows the relationship between time and distance

Answers

Answer:

what grade is this?

Step-by-step explanation:

A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You select a random sample of 100 bottles, the mean amount of water per 1-gallon bottle is 0.994 gallon, and standard deviation of the amount of water per bottle is 0.03 gallon.
You select a random sample of 50 bottles, and the mean amount of water per 1-gallon bottle is 0.995 gallon.
a. Is there evidence that the mean amount is different from 1.0 gallon? (Use α-0.01.)
b. Compute the p-value and interpret its meaning
c. Construct a 99% confidence interval estimate of the population mean amount of water per bottle.
d. Compare the results of (a) and (c). What conclusions do you reach?

Answers

Answer:

We fail to reject H0; Hence, we conclude that there is no significant evidence that the mean amount of water per gallon is different from 1.0 gallon

Pvalue = - 2

(0.98626 ; 1.00174)

Since, 1.0 exist within the confidence interval, then we can conclude that mean amount of water per gallon is 1.0 gallon.

Step-by-step explanation:

H0 : μ= 1

H1 : μ < 1

The test statistic :

(xbar - μ) / (s / sqrt(n))

(0.994 - 1) / (0.03/sqrt(100))

-0.006 / 0.003

= - 2

The Pvalue :

Pvalue form Test statistic :

P(Z < - 2) = 0.02275

At α = 0.01

Pvalue > 0.01 ; Hence, we fail to reject H0.

The confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * s/sqrt(n)

Zcritical at 99% confidence level = 2.58

Margin of Error = 2.58 * 0.03/sqrt(100) = 0.00774

Confidence interval :

0.994 ± 0.00774

Lower boundary = (0.994 - 0.00774) = 0.98626

Upper boundary = (0.994 + 0.00774) = 1.00174

(0.98626 ; 1.00174)

BC
Round your answer to the nearest hundredth.
А
50°
?
3
B

Answers

Use the sine function.

sine = opposite side of triangle divided by the hypotenuse.

Here is the set up:

sin(50°) = BC/3

sin(50°)/3 = BC

Use your calculator to simply left side.

Take it from here.

What is the price of a $90 mobile phone after a 30% discount?

Answers

Answer:

I believe it would be 63 because the phone costs 90 dollars originally but with the discount being 30% (90 multiply 0.3) and you get $27. However then you gotta then subtract (90-27) to get 63.

Please help I’ll mark you as brainliest if correct!

Answers

Answer: 18

Explanation: 18 times 2.5 is 45. 45 +18=63

Answer:

the answer would be 25 because to get the answer you would take 63 and divide it by 2.5 and you will get 25.2 then rounding it to the nearest 10th would be 25

then after you get 25 you would put it into the equation 2.5(x) = 63 which would be 2.5(25)=63. that it y 25 would be the correct answer.

Hope this helped

Write and simplify an algebraic expression to represent the area of the shaded region. The image is below.
Plz solve with a full proces. God bless u very much. I will give brainliest

Answers

[tex](x+2)^2 - 1\cdot(x-5) = x^2 + 2\cdot2x + 2^2 - (x - 5) = x^2 + 4x + 4 - x + 5 = x^2 + 3x + 9[/tex]

complete the conversion
7480 yd _ mi

Answers

The answer is  4.25 miles

Freshman, sophomore, junior, and senior students at a high school will be surveyed regarding a potential increase in the extracurricular student activities fee. There are three possible responses to the survey question - agree with the increase, do not agree with the increase, or no opinion. A chi-square test will be conducted to determine whether the response to this question is independent of the class in which the student is a member. How many degrees of freedom should the chi-square test have

Answers

Answer:

The degrees of freedom is 6 for the chi square independence test.

Step-by-step explanation:

This is test hypothesis of independence. The test statistic under H0 is

χ²= ∑ (O - E)²/ E

where O is the observed and E is the expected frequency

which  has an approximate chi square distribution with ( r-1) (c-1) degrees of freedom, where r= rows and c= columns.

Here there are 4 rows and 3 columns

Hence the degrees of freedom will be

( 4-1) ( 3-1)= 3*2= 6

Which equation represents circle k shown in the graph below? Help plz

Answers

Answer:

-5-1

Step-by-step explanation:

Solve the following exponential equation. Round to the nearest thousandth place (3 decimal places)

5^3x+7 =311

Answers

Answer:

x= 2.432

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRAINELST!!!!!!!!!!!!!!!!!!!!! :D
please show work if you can. thank you in advance! (NO LINKS OR YOU WILL BE REPORTED!!!!)

Answers

Answer:

True

True

False

False

Step-by-step explanation:

Not absolutely positive, but I believe this is correct.

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-1,4) and (8, 2)

Answers

Answer:

9.2 ([tex]\sqrt{85[/tex][tex]\sqrt{85}[/tex])

Step-by-step explanation:

square root of (8-(-1))^2 + (2-4)^2) which is square root of 85 which is approximately 9.2 rounded to the nearest tenth

Answer:

9.2

Step-by-step explanation:

1 . What is the distance between the two points. (0,5 1,3), (-0,4, -1,3) ?

Answers

Answer:

Step-by-step explanation:

x1 = 0.5 x2 = -0.4 y1 = 1.3 y2 = -1.3

[tex]\sqrt{(x2 - x1)^{2}+(y2 - y1)^{2}[/tex]

[tex]\sqrt{(-0.4 - 0.5)^{2}+(-1.3 - 1.3)^{2}[/tex]

=2.75

What is (3x^2+ 4x - 7) / (x - 1)?

A. 3x+1
B. X-1
C. 3x+7
D. 7x-7

Answers

Answer:

[tex]\tt{}b. \: 3x + 7 [/tex]

Step-by-step explanation:

[tex]\tt{} \frac{(3 {x}^{2} + 4x - 7) }{(x - 1)} [/tex]

[tex]\tt{} \frac{{3x}^{2} + 7x - 3x - 7}{x - 1}[/tex]

[tex]\tt{} \frac{x \times (3x + 7) - (3x + 7)}{x - 1} [/tex]

[tex]\tt{} \frac{(3x + 7) \times (x - 1)}{x - 1} [/tex]

[tex]\tt{}3x + 7[/tex]

37. The sum of two numbers is 86. The larger number is nine less than four times the smaller number. Find both numbers.​

Answers

The larger number is 67 while the smaller number will be 19 for the given condition.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given,

Suppose the larger number is x while the smaller number is y.

Sum will be as x + y = 86

The larger number is nine less than four times the smaller number.

x = 4y - 9

By substitution,

4y - 9 + y = 86

5y = 95

y = 19

x = 86 - 19 = 67

Hence "For the specified condition, the greater number is 67 and the smaller number is 19".

For more about the number system,

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michaela spent $33 on 3 rose bushes and 3 pots of ivy. totsakan spent $92 on 12 rose bushes and 4 pots of ivy. find the cost of one rose bush and the cost of one pot of ivy​

Answers

Answer:

One rose bush costs $6

One pot of ivy costs $5

Step-by-step explanation:

Set up an equation:

Variable x = cost of rose bushes

Variable y = cost of pots of ivy

3x + 3y = 33

12x + 4y = 92

I will use substitution to first solve for x:

3y = 33 - 3x

Divide both sides by 3

y = 11 - x

Substitute y value for 11 - x:

12x + 4(11 - x) = 92

Use distributive property

12x + 44 - 4x = 92

Combine like terms

8x + 44 = 92

8x = 48

Divide both sides by 8

x = 6

Solve for y by plugging in 6 for the x value:

3(6) + 3y = 33

18 + 3y = 33

3y = 15

Divide both sides by 3

y = 5

Check work:

3(6) + 3(5) = 33

18 + 15 = 33

33 = 33

Correct

A newspaper article indicated that 43 percent of cars with black seats are white, 46 percent of cars with black seats are blue, 7 percent of cars with black seats are red, and 4 percent of cars with black seats are black. A test was conducted to investigate whether the color of cars with black seats was consistent with the newspaper article. A random sample of cars of these colors was selected, and the value of the chi-square test statistic was x = 8.2. Which of the following represents the p-value for the test?
A) P(x2 ≥ 8.2) = 0.08
B) P(x2 ≥ 8.2) = 0.04
C) P(x2 ≤ 8.2) = 0.96
D) P (x2 = 8.2) = 0.00
E) The p-value cannot be calculated because the sample size is not given.

Answers

Answer:

C) P (X2 ≤ 8.2) = 0.96

Step-by-step explanation:

P value for the test is the probability of obtaining results that have been observed in the null hypothesis statement. A very small value of p indicates that there is unlikely chance of null hypothesis being true which means that we cannot accept null hypothesis based on the small p value.

Answer:

P(χ2≥8.2)=0.04

Step-by-step explanation:

Just took the test. This was correct

find the volume of the cone Diameter:10 m and Height:10m​

Answers

Answer:

V = 260.2 m^3

Step-by-step explanation:

The area of the circular base is (pi)(r)^2, where r is the radius and half the diameter.

In this case the volume of the cone is V = (1/3)(pi)(5 m)^2*(10 m) = 260.2 m^3

Answer: 262

...........................

What's negative 4 times p

Answers

Answer:

The answer will b -4p

plz can i get brainliest

negative 4 times p is -4p

k is no greater than 9​

Answers

Answer:

Agree with u98888888888

Answer:

i agreee

Step-by-step explanation:

I WILL GIVE BRAINLIEST HELP
Oscar invested $5000 in an
account that pays 4% annual
simple interest. Oscar will not make
any additional deposits or withdrawals.
How much interest will Oscar earn on
his investment at the end of 3 years?

Answers

There you go it’s not Oscar but it’s the same question

Alan has forgotten his 4-digit PIN code. He knows the second digit is even, and last digit is 7. How many different sets of 4 digits could it be?

Answers

I’m not positive but I think you would go 9x9x4 because it could be 1-9 for the first and third and 2,4,6 or 8 for the second

Answer:

500

Step-by-step explanation:

10) Triangle GHK has an area of 273cm². Write and solve an equation to find the height, h, of triangle GHK
base is 26 cm

Answers

Answer:

21cm

Step-by-step explanation:

A=(b*h) /2-->h=(2*A)/b-->

h=(2*273)/26-->

h=21 cm

Number 2 all of number 2

Answers

Answer:

1) True

2)False

3)True

Step-by-step explanation:

1.cierto

2.cierto

3.cierto

please help me




Simplify 6(11p)​

Answers

Answer:

66p

Step-by-step explanation: remove the parenthesis then multiply 6 x 11p = 66p

66p is the answer! ur welcome!

Matt walked 1 mile in 15 minutes. At this rate, how many miles would he walk in 2 hours?

Answers

I think the answer is 8

What is the are of the arrow?

Answers

Answer:

84

Step-by-step explanation:

First you need to find the area of the square. You have to multiply 4x10 which is 40. So now you have to find the area of the triangle. To do that you have to use this equation base x Height/2. Basically 6 times 3.5 is 21/2 so its 10.5. Since you have 2 triangles you can just multiply by 2 which is 42 so 42 + 42 is 84

find the interquartile range. its question 5 and four

Answers

Answer:

I think the interquartile range is 2.5

Step-by-step explanation:

Interquartile range = Q3-Q1.

Mike's Music charges $45 per hour. Tim's Tunes
charges $80 plus $25 per hour. If you have $240, how many hours will Mike's Music
play?

1. 6 hours
2. 5 hours
3. 6 2/5 hours
4. 5 1/3 hours

Answers

Answer:

Answer 4. (5 1/3 hours)

Step-by-step explanation:

240/45=5.333333333

Answer:

4. 5 1/3 hours

Step-by-step explanation:

Mike's music:

y = 45x

Tim's Tunes:

y = 80 + 25x

Mike's music:

y = 45x

240 = 45x

x = 240/45

x = 5 1/3

Using the graph, determine the coordinates of the x-intercepts of the parabola.

Answers

(1,0) and (7,0) are the x intercepts
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