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
Komok [63]
2 years ago
6

In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard dev

iation of 5.4 minutes. It is assumed that this is a normally distributed variable. Find the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.
a. 0.38
b. 0.69
c. 0.99
d. 0.31
Mathematics
1 answer:
Paha777 [63]2 years ago
3 0

Answer:

0.3114

Option d is right

Step-by-step explanation:

Let X be the time spent on a treadmill in the health club

Given that  research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes

Also given that X is normal

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.

= P(30

round off to two decimals tog et

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill is 0.31

Hence option d is right

You might be interested in
I talk to an average of 8 customers per hour during an 8 hour shift and need to increase the amount of customers i help by 20%,
lbvjy [14]

Answer:

The number of customer needed to achieve is 34

Step-by-step explanation:

Given as :

The number of customer per hour = 8

The time taken = 8 hours

The rate of increase = 20 %

Let The increase in number of customer after 20 % increment = x

So ,  The number of customer after n hours = initial number × (1+\dfrac{\textrm rate}{100})^{n}

or, The number of customer after 8 hours = 8 ×  (1+\dfrac{\textrm 20}{100})^{8}

or, The number of customer after 8 hours = 8 × 4.2998

∴The number of customer after 8 hours = 34.39 ≈ 34

Hence The number of customer needed to achieve is 34  answer

8 0
2 years ago
A cube with side length 4p is stacked on another cube with side length 2q^2. What is the total volume of the cubes in factored f
AnnZ [28]
Volume of cube=side³
ok, so you need to know the difference or sum of cubes
a³+b³=(a+b)(x²-xy+y²)
so

(4p)³+(2q²)³=
(4p+2q²)((4p)²-(4p)(2q²)+(2q²)²)=
(4p+2q²)(16p²-8pq²+4q⁴)

3rd option
5 0
2 years ago
The value of zlatans house has increased by 7% his house is now valued at £749 000 work out the value of the house before the in
Colt1911 [192]

Answer:

Let x be the value of the house before increase

Since it's increases add 7% to the overall 100%

107/100x = 749000

x = 700000

The value of the house before increase is £700000.

Hope this helps.

4 0
2 years ago
A food distributor is being sued for racial discrimination because 12% of newly hired candidates are not white when 53% of all a
Musya8 [376]

Answer:

Check Explanation

Step-by-step explanation:

A) The null hypothesis would be that the proportion of newly hired candidates that are not white is not significantly different from the proportion of the applicants that are not white & there is no significant evidence that the company's hiring practices are discriminatory.

Mathematically,

H₀: μ₀ = 0.53

And the alternative hypothesis would be that there is a significant difference between the proportion of newly hired candidates that are not white is not significantly different from the proportion of the applicants that are not white. More specifically, that the proportion of newly hired candidates that are not white is significantly less than the proportion of applicants that are not white & there is significant evidence that the company's hiring practices are indeed discriminatory.

Mathematically,

Hₐ: μ₀ < 0.53

B) The two errors that can come up in this hypothesis testing include -

Type I error: We reject the null hypothesis because we obtain that the proportion of newly hired candidates that are not white is significantly less than the proportion of applicants that are not white and conclude that there is indeed significant evidence that the company's hiring practices are discriminatory when in reality, there is no significant difference and hence, no discrimination.

Type II error: We accept the null hypothesis (fail to reject the null hypothesis) because we obtained that there is no significant difference between the proportion of newly hired candidates that are not white & th proportion of applicants that are not white and conclude that there is no discrimination in the company's hiring practices when in reality, there is significant difference in the stated proportions above and significant evidence that there is indeed significant evidence that the company's hiring practices are discriminatory.

C) The power of the test increases as the significance level reduces. This is because t-statistic increases as significance level reduces.

D) The standard error of the mean used in computing the t-score is given as

σₓ = (σ/√n)

It is evident that as the value of n increases, the standard error reduces and this widens the effect of the test, hence, the power of the test increases.

Hope this Helps!!!

7 0
2 years ago
Think about all of the ways in which a circle and a parabola can intersect. Select all of the number of ways in which a circle a
forsale [732]

Answer:

A circle can intersect a parabola in

1. One point [ when circle just touches the parabola]

2. Two points [ When circle cuts the parabola in two distinct points. ]

3. Three points [Circle just touches at one point and cuts the parabola in two distinct points]

4. Four points [ Either parabola or circle meeting each other or crossing at four distinct points]




4 0
2 years ago
Read 2 more answers
Other questions:
  • $24 saved after 3 weeks; $52 saved after 7 weeks. are these ratios equivalent
    8·2 answers
  • You just obtained a credit card. You immediately purchase a digital camera for $160. Your credit limit is $4000. Let’s assume th
    7·1 answer
  • The speed of the international space station is 27,576 kilometres per hour.
    9·1 answer
  • Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books
    9·2 answers
  • What common angle do ACE and ACD share?
    13·2 answers
  • Ten liters of pure water are added to a 50-liter pot of soup that is 50% broth. Fill in the missing parts of the table.
    5·2 answers
  • A school choir has 36 members. This year, there are three times as many returning members as new members. How many new members a
    9·2 answers
  • F(x) = <br> 1<br> x<br> g(x) = x − 4<br> Can you evaluate (g ○ f)(0)? Explain why or why not.
    12·2 answers
  • Pablo shares 525 cupcakes in the ratio of 3:4 between his
    8·1 answer
  • Sam's Furniture Store places the following advertisement in the local
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!