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
DaniilM [7]
3 years ago
8

1. In 25 minutes Li can run 10 laps around the track. Determine the number of laps she can run per minute.

Mathematics
2 answers:
antiseptic1488 [7]3 years ago
8 0

Answer:

For the first example, the constant of proportionality should be .4 of a mile, meaning that Li can run .4 mile per minute. The equation should be .4x = y. For the second example, it is easy to find the constant of proportionality because it is given, which is 2. The equation to represent this would be 2x = y.

Step-by-step explanation:

The reason why the constant of proportionality is .4 is because I used the ratio from before and compared it to the one needed. I simply turned the ratios into fractions and I cross multiplied before turning it into a equation to solve to find .4 as the constant of proportionality. The equation should be .4x = y because x = the amount of minutes Li ran, and y = the total amount of miles she ran. The reason why the constant of proportionality is 2 in the second problem is because Jennifer is paying 2 per pound, which is the unit rate. If we are looking at the cost per pound, it would mean that 2 is the constant of proportionality. The reason why the equation to represent this would be 2x = y is because x = the amount of pounds, and y = the total amount of money, which represents the situation.

Jlenok [28]3 years ago
3 0
That answer is correct to this question^^
You might be interested in
In a scene from a movie, 60 zombies are following a path through the woods, and they end up at one of
Crank

Answer:

waterfall 5 percent

ravine 30

creek 15percent

cabin 20

hill 5 percent

bluff 10

ravin 25 percent

probability is 98 percent

4 0
3 years ago
3. There are 350 people in an office building. A local deli randomly surveyed people in the building to determine the average am
IrinaK [193]

Answer:

(a)Sample 1

The Mean = 20

The median = 25

Sample 2

The Mean = 31

The median = 60

(b) Sample 1 has the least spread

Sample 1 has the least deviations from the mean

(c) Sample 1 align with the third sample

The least representative of the population is sample 1

Step-by-step explanation:

The mean is ∑fx/∑f

∑fx = 30 + 25 + 10 + 25 + 10 = 100

∑f = 5

Mean = 100/5 = 20

For the median, we arrange the data in increasing order;

10, 10, 25, 25, 30

The median = the middle number = 25

Sample 2

The mean is ∑fx/∑f

∑fx = 5 + 60 + 10 + 30 + 50 = 155

∑f = 5

Mean = 155/5 = 31

For the median, we arrange the data in increasing order;

5, 10, 30, 50, 60

The median = the middle number = 30

(b) Sample 1 range =$30 -$10 = $20

Sample 2 range =$65 -$5 = $60

Sample 1 has the least spread

Sample 1 standard deviation = 9.354

Sample 2 standard deviation =24.083

Sample 1 has the least deviations from the mean

(c) $30, $25, $20, $20, $25

Mean = 24

$20, $20, $25, $25, $30

Median = $25

∑fx = 120

Therefore sample 1 align with the third sample

The least representative of the population is sample 1 with ∑fx = 100.

5 0
3 years ago
Emma went to a salon to get her hair cut. The price of the haircut is $65. She wants to leave a 20% tip. What is the total amoun
Rudiy27

Answer:

She should leave a total of $78.

Step-by-step explanation:

To find this, we first need to find the tip amount. We can do this by multiplying the total by the tip percentage.

$65 * 20% = $13

Now that we have that, we need to add it to the cost.

$65 + $13 = $78

8 0
3 years ago
What is the slope indicated in the table below (x) 3,6,9,12. (y) 7,14,21,28
marta [7]
The slope is 7/3


Hope this helps 
4 0
4 years ago
A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain sca
inna [77]

Answer:

Step-by-step explanation:

Hello!

This is an example of a pared sample test, the experiment is based on two dependent variables:

X₁: centimeters on a pain scale before hypnosis

X₂: centimeters on a pain scale after hypnosis

Out of these two variables a new variable is determined Xd= X₁-X₂

If the variables have an approximate normal distribution then the variable resulting from their difference will also have an approximate normal distribution.

The claim is that "hypnosis reduced the pain" if so you'd expect the population mean of the difference to be less than zero, symbolically: μd<0

The statistic for this test is a paired sample t test:

t= \frac{\frac{}{X_d} - Mu_d}{Sd} ~t_{n-1}

To calculate the sample mean and variance you have to calculate the difference between the pairs first.

\frac{}{Xd}= ∑Dif/n

S_d^2= \frac{1}{n-1} [sumDif^2- \frac{(sumDif)^2}{n} ]

∑Dif= 6.4

∑Dif²= 12.64

\frac{}{Xd}= 6.4/5= 1.28

S_d^2= \frac{1}{4} [12.64- \frac{(6.4)^2}{5} ]= 1.112

Sd= 1.05

t_{H_0}= \frac{\frac{}{Xd}-Mu_d }{Sd} = \frac{1.28-0}{1.05} = 1.219= 1.22

I hope this helps!

7 0
4 years ago
Other questions:
  • HELP!!!! MATH IS THE WORST!!!!
    5·1 answer
  • you spin the spinner, flip a coin, then spin the spinner again. find the probability of the compound event. Spinning a 4, flippi
    9·2 answers
  • Find the value of x.
    10·2 answers
  • Find an equation for the line with the given properties. Express the equation in​ slope-intercept form.
    13·1 answer
  • Please show the steps taken to complete the problems:
    8·1 answer
  • What is the Factor form x^2 +5x show work
    7·1 answer
  • 1. Suppose f(x) = x^4-2x^3+ax^2+x+3. If f(3) = 2, then what is a? 2. Let f, g, and h be polynomials such that h(x) = f(x) * g(x)
    15·1 answer
  • Given the points Q(-3, -4) and R(2, 0), find the coordinates of the point P on directed line segment QR that partitions segment
    15·1 answer
  • The table represents a linear function
    10·1 answer
  • What happens when you subtract two negative numbers.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!