1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IrinaK [193]
3 years ago
10

the freezing point of water is 32 degrees F. Tim added potassium and found out that the freezing point went down by 8 degrees F.

what is the freezing point of the water with the added potassium?
Mathematics
1 answer:
ycow [4]3 years ago
5 0
If water freezing point is 32 F and water and potassium went down 8 degrees F then it is 24 degrees F is the freezing point for water and potassium
You might be interested in
-6x - 20 = -2x + 4 - 12x
Alchen [17]
The correct answer is x=3
5 0
2 years ago
Read 2 more answers
On a city map, Dan lives at D(-6,5) and Bill lives at B(0,2). How far apart do they live? Remember to reduce the radical, if the
Alinara [238K]

√ [(0-(-6)) ² +(5-2) ²]

=√ [(6) ²+(3) ²]

=√ [36+9]

=√ 45

=3 √ 5

6 0
3 years ago
Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn’s
lorasvet [3.4K]

Answer:


Step-by-step explanation:

difference/actual lengthx100

0.12/5.5x100=2.18%

4 0
3 years ago
Obtain the required confidence interval for the difference between two population proportions. Assume that independent simple ra
Thepotemich [5.8K]

Answer:

The 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program = ( -0.293, 0.023)

Step-by-step explanation:

The formula for confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

From the question

We have two groups.

Group 1 = For women

A survey found that 37 of 74 randomly selected women

p1 = x/n1

n1 = 74

x1 = 37

p1 = 37/74

p1 = 0.5

Group 2 = For Men

A survey found out that 47 of 74 randomly selected men follow a regular exercise program

p2 = x/n1

n2= 74

x2 = 47

p2 = 47/74

p2 = 0.6351351351 ≈ 0.635

z = z score for 95% Confidence Interval = 1.96

The confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

0.5 - 0.635 ± 1.96 × √0.5 (1 - 0.5)/74 + 0.635(1 - 0.635)/74

-0.135 ± 1.96 × √(0.5 × 0.5)/74 + (0.635× 0.365)/74

-0.135 ± 1.96 × 0.08068750209663572

-0.135 ± 0.158147504109406

Hence:

= -0.135 - 0.158147504109406

= -0.2931475041

Approximately = -0.293

= -0.135 + 0.158147504109406

= 0.0231475041

Approximately = 0.023

Therefore, the 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program = ( -0.293, 0.023)

6 0
2 years ago
HELPPPP 100 points if you help!!!!
nignag [31]

Answer:

Part A)

Chorus:

c(t)=15(1.12)^t

Band:

b(t)=2t+30

Part B)

After 9 years:

The chorus will have about 41 people.

And the band will have 48 people.

Part C)

About approximately 11 years.

Step-by-step explanation:

We are given that there are 15 people in the chorus. Each year, number of people in the chorus increases by 12%. So, the chorus increases exponentially.

There are 30 people in the band. Each year, 2 new people join the band. So, the band increases linearly.

Part A)

Since after each year, the number of people in the chorus increases by 12%, the new population will be 112% or 1.12 of the previous population.

So, using the standard form for exponential growth:

c(t)=a(r)^t

Where <em>a</em> is the initial population and <em>r</em> is the rate of change.

We will substitute 15 for <em>a </em>and 1.12 for <em>r</em>. Hence:

c(t)=15(1.12)^t

This represents the number of people in the chorus after <em>t</em> years.

We are given that 2 new people join the band each year. So, it increases linearly.

Since there are already 30 people in the band, our initial point or y-intercept is 30.

And since 2 new people join every year, our slope is 2. Then by the slope-intercept form:

b(t)=mt+b

And by substitution:

b(t)=2t+30

This represents the number of people in the band after <em>t</em> years.

Part B)

We want to find the number of people in the chorus and the band after 9 years.

Using the chorus function, we see that:

c(9)=15(1.12)^9\approx41.59\approx41

There will be approximately 41 people in the chorus after 9 years.

And using the band function, we see that:

b(9)=2(9)+30=48

There will be 48 people in the band after 9 years.

Part C)

We want to determine after approximately how many years will the number of people in the chorus and band be equivalent. Hence, we will set the two functions equal to each other and solve for <em>t</em>. So:

15(1.12)^t=2t+30

Unfortunately, it is impossible to solve for <em>t</em> using normal analytic methods. Hence, we can graph them. Recall that graphically, our equation is the same as saying at what point will our two functions intersect.

Referring to the graph below, we can see that the point of intersection is at approximately (10.95, 51.91).

Hence, after approximately 11 years, both the chorus and the band will have approximately 52 people.

5 0
3 years ago
Other questions:
  • Rounded to the nearest ten thousand 101,687 and 173,245
    8·1 answer
  • What is 3•(5+73)-365
    5·1 answer
  • PLEASE PLASE PLEASEEEE HELP!!!!!!! <br> Find the area and perimeter!
    5·1 answer
  • What is the length h of the right triangle, rounded to the nearest tenth?
    11·2 answers
  • Can someone help me ? Plz
    13·2 answers
  • Simplify (2x-5y)^3-(2x+5y)
    14·1 answer
  • Please explain to me how to do this or give me the answer.
    10·1 answer
  • I need help i do not understand
    14·1 answer
  • Natural number between 159 and 203​
    7·1 answer
  • Suppose, instead, that Bruce used 6 full boxes of tiles plus an additional 2 tiles, and Felicia used 5 full boxes of tiles plus
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!