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
trapecia [35]
3 years ago
5

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 18 N acts on

a certain object, the acceleration of the object is 6 /ms2 . If the acceleration of the object becomes 5 /ms2 , what is the force?
Mathematics
1 answer:
inysia [295]3 years ago
7 0

Answer: F=15N


Step-by-step explanation:

1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:

F=ka

Where F is the force acting on the object, a is the object's acceleration and k is the constant of proportionality.

2. Keeping this on mind, you can calculate the constant of proportionality by substituting F=18 and a=6 into the equation and solving for k:

18=k6\\k=\frac{18}{6}\\k=3

3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:

F=3(5)\\F=15

3. The result is:

F=15N

You might be interested in
What is ....
Airida [17]
5ft 4in= 64 inches
3yd 5in= 113 inches
5yd 2ft= 204 inches/ 17 feet
9ft 6in= 114 inches
5 0
3 years ago
An insurance company states that it settles 85% of all life insurance claims within 30 days. A consumer group asks the state ins
BlackZzzverrR [31]

Using the z-distribution, it is found that since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is not enough evidence that the proportion is below 85%, that is:

H_0: p \geq 0.85

At the alternative hypothesis, it is tested if there is enough evidence that the proportion is below 85%, that is:

H_0: p < 0.85

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

For this problem, the parameters are:

p = 0.85, n = 250, \overline{p} = \frac{203}{250} = 0.812

Hence the test statistic is:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = \frac{0.812 - 0.85}{\sqrt{\frac{0.85(0.15)}{250}}}

z = -1.68

<h3>What is the p-value and the conclusion</h3>

Using a z-distribution calculator, with a left-tailed test, as we are testing if the proportion is less than a value, and z = -1.68, the p-value is of 0.0465.

Since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

4 0
1 year ago
PART A: At the bakery, the daily ratio of cookie sales to donut sales is 4 to 3. Cookies and donuts cost the same amount. If the
BabaBlast [244]
Their ratio would be: Cookie / Donut = 4/3
Let, the amount of money earned from Donut = x
It would be: 4/3 = 375 / x
x = 375/4 * 3
x = 1125/4
x = 281.25

In short, Your Answer would be $281.25

Hope this helps!
4 0
3 years ago
One hundred items are simultaneously put on a life test. Suppose the lifetimes
romanna [79]

Answer:

a) \mathrm{E}[\mathrm{T}]=\sum_{\mathrm{H}}^{5} \frac{200}{101-i}

b) \mathrm{Var}[\mathrm{T}]=\sum_{k=1}^{5} \frac{(200)^{2}}{(101-i)^{2}}

Step-by-step explanation:

Given:

The lifetimes of the individual items are independent exponential random variables.

Mean = 200 hours.

Assume, Ti be the time between ( i-1 )st and the ith failures. Then, the T_{i} are independent with \mathrm{T}_{\mathrm{i}} being exponential with rate \frac{(101-i)}{200} .

Therefore,

a) E[T]=\sum_{i=1}^{5} E\left[\tau_{i}\right]

=\sum_{i=1}^{5} \frac{200}{101-i}

\therefore \mathrm{E}[\mathrm{T}]=\sum_{\mathrm{H}}^{5} \frac{200}{101-i}

b)

The variance is given by, \mathrm{Var}[\mathrm{T}]=\sum_{i=1}^{5} \mathrm{Var}[T]

\therefore \mathrm{Var}[\mathrm{T}]=\sum_{k=1}^{5} \frac{(200)^{2}}{(101-i)^{2}}

7 0
3 years ago
PLEASE PLEASE HELP
noname [10]

Answer:

8.51x10^{-3}cm

Step-by-step explanation:

In order to add or subtract numbers in scientific notation, the powers of ten must have the same exponent.  In this caes the diameter of an average human body cell is a power of -4 and the diameter of a plant cell is a power of -3.  In order to add them, we can move the decimal over for the body cell diameter:

5.1x10^{-4}=0.51x10^{-3}

Add the two values: 0.51x10^{-3}+8x10^{-3}=8.51x10^{-3}cm

7 0
3 years ago
Read 2 more answers
Other questions:
  • Is the number of calories you have burned since midnight at any time during the say a function\?
    14·1 answer
  • Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly ov
    9·1 answer
  • A pennant is shaped like a right triangle with a hypotenuse of 10feet. The length of one side of the pennant is two feet longer
    12·1 answer
  • HELP!!! if a hospital patient is given 50 milligrams of medicine, which leaves the bloodstream at 10% per hour, how many milligr
    9·1 answer
  • Assume that you set aside $500 per year, and invest that money over the next five years in an account earning 6%. What is the am
    11·1 answer
  • What is the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k? 16 must be factored from 18x + 14 x must
    10·2 answers
  • ames bought a movie ticket and wants to pay for some friends. A ticket costs $6, and he has $38. How many friends can he pay for
    10·2 answers
  • Did the old version of the instrument triangle have a different sound because of the open corner and different triangle shape of
    8·1 answer
  • Marlowe loves to draw. She wants to refine her skills and start taking drawing lessons at a local art studio. The table shows th
    5·1 answer
  • Which number line shows the solution of -3x + 6 &gt; 12
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!