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
jeyben [28]
3 years ago
12

carol can complete her neighborhood jog in 10 minutes. It takes 30 minutes to cover the same distance when she walks. If her jog

ging rate is 4 mph fater than her walking rate, find the speed at which she jogs.
Mathematics
1 answer:
Travka [436]3 years ago
8 0

Answer:

6mph

Step-by-step explanation:

In this question, we are asked to calculate the speed at which Carol jogs, given that she has a particular speed when she jogs greater than when she walks.

Firstly, we should understand that she is taking the same distance, whether she jogs or walks.

Now, let’s say her jogging rate is x mph, this means that her walking rate would be (x - 4)mph. This is because her jogging rate is 4mph faster than her walking rate.

The total distance covered when jogging is thus 10/60 * x, while her total distance covered when walking would be 30/60 * (x-4)[we convert the time to hours]

We equate both since they are same distance:

x/6 = (x -4)/2

2x = 6(x - 4)

2x = 6x - 24

4x = 24

x = 6mph

You might be interested in
I NEED HELP ASAP PLEASE
11Alexandr11 [23.1K]
The answr is 2 okay that’s the answer
8 0
1 year ago
The Insurance Institute reports that the mean amount of life insurance per household in the US is $110,000. This follows a norma
nata0808 [166]

Answer:

a) \sigma_{\bar X} = \frac{\sigma}{\sqrt{n}}= \frac{40000}{\sqrt{50}}= 5656.85

b) Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

c) P( \bar X >112000) = P(Z>\frac{112000-110000}{\frac{40000}{\sqrt{50}}}) = P(Z>0.354)

And we can use the complement rule and we got:

P(Z>0.354) = 1-P(Z

d) P( \bar X >100000) = P(Z>\frac{100000-110000}{\frac{40000}{\sqrt{50}}}) = P(Z>-1.768)

And we can use the complement rule and we got:

P(Z>-1.768) = 1-P(Z

e) P(100000< \bar X

And we can use the complement rule and we got:

P(-1.768

Step-by-step explanation:

a. If we select a random sample of 50 households, what is the standard error of the mean?

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".  

Let X the random variable that represent the amount of life insurance of a population, and for this case we know the distribution for X is given by:

X \sim N(110000,40000)  

Where \mu=110000 and \sigma=40000

If we select a sample size of n =35 the standard error is given by:

\sigma_{\bar X} = \frac{\sigma}{\sqrt{n}}= \frac{40000}{\sqrt{50}}= 5656.85

b. What is the expected shape of the distribution of the sample mean?

Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

c. What is the likelihood of selecting a sample with a mean of at least $112,000?

For this case we want this probability:

P(X > 112000)

And we can use the z score given by:

z= \frac{\bar X  -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

P( \bar X >112000) = P(Z>\frac{112000-110000}{\frac{40000}{\sqrt{50}}}) = P(Z>0.354)

And we can use the complement rule and we got:

P(Z>0.354) = 1-P(Z

d. What is the likelihood of selecting a sample with a mean of more than $100,000?

For this case we want this probability:

P(X > 100000)

And we can use the z score given by:

z= \frac{\bar X  -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

P( \bar X >100000) = P(Z>\frac{100000-110000}{\frac{40000}{\sqrt{50}}}) = P(Z>-1.768)

And we can use the complement rule and we got:

P(Z>-1.768) = 1-P(Z

e. Find the likelihood of selecting a sample with a mean of more than $100,000 but less than $112,000

For this case we want this probability:

P(100000

And we can use the z score given by:

z= \frac{\bar X  -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

P(100000< \bar X

And we can use the complement rule and we got:

P(-1.768

8 0
3 years ago
What is the variable of 6(x+5)= -36
levacccp [35]

6 (x + 5) = -36

6x +30 = -36 (distribute)

6x +30 (-30) = -36 -30

6x = -66

x = -11

3 0
3 years ago
Find the distance between the two points. ​(-4​,-1​) and ​(-39​,-121​)
REY [17]
The distance of the two points equals to

7 0
3 years ago
Read 2 more answers
Write the equation of the linear function that generates the table below.
anastassius [24]
The answer is A

y= 0.3x + 2.9
3 0
3 years ago
Other questions:
  • What is the answer for -4+w=-10
    14·2 answers
  • Is grade level qualitative or quantitative?
    8·1 answer
  • last weekend, 5% of the tickets sold at sea world were discount tickets. If sea world sold 60 tickets in all, how many discount
    10·1 answer
  • If the minute hand of a clock moves 45 degrees, how many minutes of time have passed?​
    14·1 answer
  • Help. it's multiple choice. idk what it is​
    5·1 answer
  • Que es el concepto de funcion?
    7·1 answer
  • What is the inverse of the function y= x^2-12
    11·1 answer
  • Can someone help me with this please
    7·1 answer
  • Please help ASAP<br> What is the value of m∠A + m∠B?
    13·2 answers
  • If 2000 dollars is invested in a bank account at an interest rate of 6 percent per year, find the amount in the bank after 7 yea
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!