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
andriy [413]
3 years ago
7

During swim practice Brandi swam 6 butterfly stroke laps and 8 freestyle laps. What is the ratio of freestyle laps to total laps

.
Mathematics
1 answer:
densk [106]3 years ago
7 0

Answer:

4:7

Edit: I just saw the multiple choice options, in this case the right answer is:

<h2>8:14</h2>

but they're both equal

Step-by-step explanation:

The ratio you are looking for is

freestyle laps : (freestyle + butterfly) laps

so:

8 : (6+8)

8:14

Divide by 2 to simplify

4:7

You might be interested in
The heat index I is a measure of how hot it feels when the relative humidity is H (as a percentage) and the actual air temperatu
PSYCHO15rus [73]

Answer:

a) I(95,50) = 73.19 degrees

b) I_{T}(95,50) = -7.73

Step-by-step explanation:

An approximate formula for the heat index that is valid for (T ,H) near (90, 40) is:

I(T,H) = 45.33 + 0.6845T + 5.758H - 0.00365T^{2} - 0.1565TH + 0.001HT^{2}

a) Calculate I at (T ,H) = (95, 50).

I(95,50) = 45.33 + 0.6845*(95) + 5.758*(50) - 0.00365*(95)^{2} - 0.1565*95*50 + 0.001*50*95^{2} = 73.19 degrees

(b) Which partial derivative tells us the increase in I per degree increase in T when (T ,H) = (95, 50)? Calculate this partial derivative.

This is the partial derivative of I in function of T, that is I_{T}(T,H). So

I(T,H) = 45.33 + 0.6845T + 5.758H - 0.00365T^{2} - 0.1565TH + 0.001HT^{2}

I_{T}(T,H) = 0.6845 - 2*0.00365T - 0.1565H + 2*0.001H

I_{T}(95,50) = 0.6845 - 2*0.00365*(95) - 0.1565*(50) + 2*0.001(50) = -7.73

8 0
3 years ago
Jason solved the following equation to find the value for x.
Ainat [17]
Plug in 6.5 for x.
-8.5x-3.5x=-78
-8.5(6.5)-3.5(6.5)=-78
-55.25-22.75=-78
-78=-78
5 0
2 years ago
The sum of two numbers is 68 . the smaller number is 12 less than the larger number. what are the numbers?
galben [10]
The larger number is 56 because if you do 68-12=56
5 0
3 years ago
Suppose that a college determines the following distribution for X = number of courses taken by a full-time student this semeste
lidiya [134]

Answer:

E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74In order to find the variance we need to calculate first the second moment given by:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36And the variance is given by:

Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924

And the deviation would be:

Sd(X) =\sqrt{0.8924} =0.9447

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).  

Solution to the problem

For this case we have the following distribution given:

X          3      4       5        6

P(X)   0.07  0.4  0.25  0.28

We can calculate the mean with the following formula:

E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74

In order to find the variance we need to calculate first the second moment given by:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36

And the variance is given by:

Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924

And the deviation would be:

Sd(X) =\sqrt{0.8924} =0.9447

3 0
3 years ago
Please help me! I don't understand this! DUE TODAY
pishuonlain [190]
Answer: See the answers below.

The first equation that needs to be solve is: 10 = -16t^2 + 18
If you use the quadratic equation, you will get 0.707 seconds.

For the second equation, you need to solve 0 = -16t^2 + 18.
If you use the quadratic equation, you will get 1.061 seconds.

No, the rate of change is not constant because this is a quadratic equation.
5 0
3 years ago
Other questions:
  • Given that ABCD is an isosceles trapezoid, find x and y.
    12·2 answers
  • What is 9 + 10<br>not a joke
    14·2 answers
  • A farmer needs to ship 4,800 pumpkins to a grocery store. If each crate can hold 60 pumpkins, how many crates will the farmer ne
    15·1 answer
  • Find the slope of the line that contains the points (6,-3) and (-4,5)
    6·2 answers
  • Graph these equations: x+2y=6, y=-1/2x+4 How many solutions does the system of equations have?
    12·1 answer
  • When Ben does his math homework, he finishes 10 problems every 7 minutes. At this rate, how long will
    9·1 answer
  • D. Lauren and Gina's mother told her daughters they can
    5·2 answers
  • This equation shows how the number of flowers Ed can have in his garden is related to the number of seed packets he purchases.
    8·1 answer
  • R + 8 &gt; 21 what is the answer
    13·1 answer
  • You deposit $50 in your saving account and then add $20 per month. Would this equation be linear or exponential?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!