answer.
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
erma4kov [3.2K]
2 years ago
11

Ari is swimming a 25-meter race. After swimming 6 meters, she catches up to Amanda in a ratio of 7:3 from the 6-meter mark. At w

hat meter mark does Ari catch up to Amanda? Round to the nearest tenth, if necessary.
Ari catches up to Amanda at _______ meters.

Mathematics
2 answers:
leva [86]2 years ago
8 0

Answer:

19.3

Step-by-step explanation:

OlgaM077 [116]2 years ago
7 0

Answer:

Ari catches up to Amanda at 19.3 meters

Step-by-step explanation:

Given :

Ari is swimming a 25-meter race.

After swimming 6 meters she catches up to Amanda in a ratio of 7:3 from the 6-meter mark.

Solution :

The distance between 6 meters and 25 meters = 19 meters.

Since she catched Amanda in ratio 7:3

So, she catched her at 7/10 of the distance

So, the distance at which she catched Amanda = \frac{7}{10} *19

                                                                               =13.3

Ari catches 13.3 metres from 6 m marks

The point on number line at which she catches her = 13.3+6

Hence Ari catches up to Amanda at 19.3 meters



You might be interested in
Zoe had x dollars on Monday. 
mel-nik [20]
13.00 I think I don’t know if that correct but that’s what I got
6 0
2 years ago
Read 2 more answers
The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in theratio is 10, what is the Second numb
Zanzabum

Answer:

10:40

Step-by-step explanation:

As the left number increases by 1, the right number increases by 4. So as you can see, the left numbers go 3-4-5 while the right numbers go 12-16-20. So the answer is 10:40 because 10x4=40.

6 0
2 years ago
Read 2 more answers
The product of 10 and the difference of a number x and 14 is 90
Ostrovityanka [42]
Write in numbers not words

3 0
2 years ago
A brewery produces cans of beer that are supposed to contain exactly 12 ounces. But owing to the inevitable variation in the fil
MArishka [77]

Answer:

T \sim N (\mu = 6*12=72 , \sigma= \sqrt{6} *0.3=0.735)

P(T \leq 72) = P(Z< \frac{72-72}{0.735}) = P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solutio to the problem

Let X the random variable that represent the amount of beer in each can of a population, and for this case we know the distribution for X is given by:

X \sim N(12,0.3)  

Where \mu=12 and \sigma=0.3

For this case we select 6 cans and we are interested in the probability that the total would be less or equal than 72 ounces. So we need to find a distribution for the total.

The definition of sample mean is given by:

\bar X = \frac{\sum_{i=1}^n X_i}{n} = \frac{T}{n}

If we solve for the total T we got:

T= n \bar X

For this case then the expected value and variance are given by:

E(T) = n E(\bar X) =n \mu

Var(T) = n^2 Var(\bar X)= n^2 \frac{\sigma^2}{n}= n \sigma^2

And the deviation is just:

Sd(T) = \sqrt{n} \sigma

So then the distribution for the total would be also normal and given by:

T \sim N (\mu = 6*12=72 , \sigma= \sqrt{6} *0.3=0.735)

And we want this probability:

P(T\leq 72)

And we can use the z score formula given by:

z = \frac{x-\mu}{\sigma}

P(T \leq 72) = P(Z< \frac{72-72}{0.735}) = P(Z

6 0
2 years ago
A video game arcade offers a yearly membership with reduced rates for game play. A single membership costs $60 per year. Game to
alexandr402 [8]
The answer is The y-intercept of the function is $60, The function can be represented by the equation y= 1/10x + 60, and The range is {y| y (don't have the sign on my device) 60}. So choices B, C, and E.<span />
3 0
2 years ago
Read 2 more answers
Other questions:
  • Find the average value of the function f(x, y, z) = 5x2z 5y2z over the region enclosed by the paraboloid z = 4 − x2 − y2 and the
    9·1 answer
  • the population at Saint Maria High increased from 1800 students ten years ago to 1926 students last year. What was the percent i
    12·2 answers
  • Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of \$10$10dollar
    9·2 answers
  • Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant
    12·1 answer
  • A worker is paid rs. 2130 for 6 days .if his total wage during a month is rs. 9230 find the number of days he worked in the mont
    13·1 answer
  • Three times the sum of half Carlita's age and 3 is at least 12. What values represent Carlita's possible age?
    10·2 answers
  • In a school of 1600 students, the ratio of teachers to students is 1:16.
    15·1 answer
  • I will give brainliest!!!!
    14·2 answers
  • Lorie is using long division to find the quotient of x^3 + 6x^2 + 5 and x^2 + x -1, as shown at the bottom of this question.
    7·1 answer
  • Daley wrote an equivalent equation to determine how many pounds of blueberries he could buy. Analyze Daley’s work. Did he make a
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!