Next week, Josephine wants: to spend the same total amount of time, but practice the same number of hours each of the 4 days. How many hours would Josephine practice each day? All measurements are rounded to the nearest hour 1/4.

Answer:

a) [tex]P(t) = 11500 + 425t[/tex]

b) The slope is of 425 people, which is by how much the population increases each year.

c) The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.

d) 17,875 people.

Step-by-step explanation:

A linear function that measures population after t years has the following format:

[tex]P(t) = P(0) + at[/tex]

In which P(0) is the vertical intercept, which represents the initial population, and a is the slope, which represents the yearly population.

a. Write a function for the population, P, in terms of the number of years since 2000.

The first step is finding the slope.

Finding the slope:

The slope is the change in the output divided by the change in the input, during a period of time.

The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people.

This means that in 2009 - 2005 = 4 years, the population increased by 15325 - 13625 = 1700.

So the slope is

[tex]a = \frac{1700}{4} = 425[/tex]

So

[tex]P(t) = P(0) + 425t[/tex]

Finding the initial population:

We want to find P(0), which is the population in 2000. The population of Little Townville in 2005 was 13,625 people, which means that [tex]P(5) = 13625[/tex]. So

[tex]P(t) = P(0) + 425t[/tex]

[tex]13625 = P(0) + 425*5[/tex]

[tex]P(0) = 13625 - 425*5[/tex]

[tex]P(0) = 11500[/tex]

So

[tex]P(t) = 11500 + 425t[/tex]

b. What is the slope of the function and what does it represent in the context of the problem. Include units.

The slope is of 425 people, which is by how much the population increases each year.

c. What is the vertical intercept of the function and what does it represent? Include units

The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.

d. What do you believe the population was in 2015?

2015 is 2015 - 2000 = 15 years after 2000, so this is P(15).

[tex]P(15) = 11500 + 425*15 = 17875[/tex]

17,875 people.

Answer:

the slope is 0

Step-by-step explanation:

Answer:slope, m=0

Step-by-step explanation:

using the slope formula m=y2-y1/x2-x1

m=8-8/-14-4 = 0/-10

m=0

Answer:

7 hours

So you so 642-425= 217, then you do 217/31= 7

your answer is 7

Answer:

Part A: Which family paid more for their house? And at what cost.

The Miller family

Part B: Which family’s home value is increasing at a faster rate?

The Adams family

Step-by-step explanation:

Answer:

Step-by-step explanation:

here you go

Answer:

(1,2)

Step-by-step explanation:

Answer: x=0

Step-by-step explanation: 0=-x^7

-x^7=0

x^7=0

so answer is : 0

Answer:

1. 8.4 in 2. 33.6  

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

the answer is 10

Step-by-step explanation:

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

Square root of 100 is 10 so the answer is 10

please mark brainliest for answer and work...

THANKS

Answer:

increasing according to me

Step-by-step explanation:

..

Algebraic expression for the given phrase is

[tex]-4+(3-1)[/tex]

Simplified answer is -2

Given :

The given phrase is  the sum of -4 and the difference of 3 and 1

To find the difference we subtract the numbers

difference of 3 and 1 is 3-1

for the sum we add it

the sum of -4 and the difference of 3 and 1

the sum of -4 and  (3-1)

Now we add it , [tex]-4+(3-1)[/tex]

Algebraic expression for the given phrase is

[tex]-4+(3-1)[/tex]

Now we simplify it

[tex]-4+(3-1)\\-4+(2)\\-2[/tex]

Learn more : brainly.com/question/24513204

Answer:

0.9983 = 99.83% probability that a majority will favor the proposal.

Step-by-step explanation:

We use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

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

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Suppose that 70% of the faculty favor the pass/fail proposal. Assuming 50 faculty members are interviewed.

This means, respectively, that [tex]p = 0.7, n = 50[/tex]

Mean and standard deviation:

[tex]\mu = E(X) = np = 50*0.7 = 35[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.7*0.3} = 3.24[/tex]

Probability that a majority (26 or more) will favor the proposal.

Using continuity correction, this is [tex]P(X \geq 26 - 0.5) = P(X \geq 25.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 25.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25.5 - 35}{3.24}[/tex]

[tex]Z = -2.93[/tex]

[tex]Z = -2.93[/tex] has a pvalue of 0.0017

1 - 0.0017 = 0.9983

0.9983 = 99.83% probability that a majority will favor the proposal.

Answer:

I can't see the picture

nope

Answer:

Your answer is 10

Step-by-step explanation:

The absolute value of |6| = 6

The absolute value of |-4| = 4

6 + 4 = 10, your answer!

Hope this helped :)

Answer:

10

Step-by-step explanation:

1.  I6I  +  I-4I

Everything inside the absolute value comes out positive. So

2. 6+4

Add numbers together

3.  10

Answer:

It's D. 0.01

Step-by-step explanation:

Took the test

Answer:

H = -52t + 6455

Step-by-step explanation:

2014 is 14 years since 2000. That gives you the point (14, 5727).

2017 is 17 years since 2000. That gives you the point (17, 5571).

Since we have two points in the line, we can find the equation of the line.

y = mx + b

m = slope = (difference in y)/(difference in x)

m = (5571 - 5727)/(17 - 14) = -156/3 = -52

y = -52x + b

Now we use one of the points for x and y, and we solve for b.

5727 = -52(14) + b

b = 6455

The equation is

y = -52x + 6455

Using H and t, we have

H = -52t + 6455

The relationship between the number of hospitals and the years, is a linear function.

The equation for the number of hospitals is: [tex]H = -52t + 6455[/tex]

Let

[tex]t \to[/tex] years since 2000

[tex]H \to[/tex] number of hospitals since 2000

So, we have:

[tex](t_1,H_1) = (14,5727)[/tex] ---- 2014

[tex](t_2,H_2) = (17,5571)[/tex]

Calculate the slope (m)

[tex]m = \frac{H_2 - H_1}{t_2 - t_1}[/tex]

This gives:

[tex]m = \frac{5571 - 5727}{17-14}[/tex]

[tex]m = \frac{-156}{3}[/tex]

[tex]m = -52[/tex]

The linear equation is then calculated using:

[tex]H = m(t - t_1) + H_1[/tex]

So, we have:

[tex]H = -52(t - 14) + 5727[/tex]

[tex]H = -52t + 728 + 5727[/tex]

[tex]H = -52t + 6455[/tex]

Hence, the equation H is: [tex]H = -52t + 6455[/tex]

Read more about linear equations at:

https://brainly.com/question/11897796

Answer:

9 and 4

Step-by-step explanation:

Answer:

c = square of a2+b2

i think its correct ome

Answer:

(25/5)/(35/5)

=> 5/7

(10/2)/(14/2)

=> 5/7

Hence both of the numbers simplify to 5/7

Hope it helps

Answer:

12x^7+7x^6-10x^5

Step-by-step explanation:

(X^4)(12x³+15x²-8x²-10x)

(X^4)(12x³+7x²-10x)

12x^7+7x^6-10x^5

Answer:

Zac Made 28 Jacket

okay have a nice day.

Answer:

E

Step-by-step explanation:

A linear equation is in the form of: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

m is the slope and it's given, which is -6

b is the y-intercept and it's given, which is 9

When we plug in to the form we get:

[tex]y=-6x+9[/tex]

Answer:

Four-door sedan = 22

Two-door coupes = 6

Step-by-step explanation:

This is an algebra problem.

Let "x" represent number of four-door sedan,

"y" represent two-door coupe.

Since there are total of 28 autos on which film is applied, we have:

x + y = 28                                         Equation 1

y = 28 - x                                          Equation 2

Also provided,

Total revenue = $3,459.72

That means,

129.99x + 99.99y = 3,459.72          Equation 3

Putting value of "y" from Equation 2 in Equation 3 we have:

129.99x + 99.99(28 - x) = 3,459.72

129.99x + 2,799.72 - 99.99x = 3,459.72

30x = 660

x = [tex]\frac{660}{30} = 22[/tex]

Therefore, number of four door sedans = 22

Further y that is two door sedan = 28 - x = 28 - 22 = 6

Answer:

Step-by-step explanation:

J = 250 + 75t

A = 720 - 35t

250 + 75t = 720 - 35t

110t = 470

t = 47/11 weeks = 4.3 weeks

Answer is Option B) 50

9(6)-4

54-4

50

Answer:

the area in square yards is 100πyd^2

Step-by-step explanation:

The computation of the area is shown below:

Area = πr^2

= π10^2

= 100πyd^2

Hence, the area in square yards is 100πyd^2

We simply applied the above formula to determine the area

Answer: the answer is D

Step-by-step explanation: I got it right

Answer:

Identify the range of the function shown in the graph.

Answer:

range=(10, 8, 6, 4, 2, 0, -2, -4, -6, -8, -10)