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
frozen [14]
3 years ago
5

A square has a side length of 14 inches. This square is dilated by a scale factor of 35 to create a new square. What is the side

length of the new square?
Mathematics
1 answer:
Harman [31]3 years ago
4 0

The new side length is 8.4. When you do dialations, you multiply the side length, 14, by the scale factor, 3/5. 14 × 3.5 gives you the answer 8.4. Hope this helps!

You might be interested in
At 3 a.M. The temperature is -5 degrees Fahrenheit between 3 a.M. And 6 a.M. The temperature dropped by 12 degrees Fahrenheit be
LuckyWell [14K]

What I would do is subtract 12 from -5. Then you would have -17. Then you would add 4 and it would be -13. So your answer is:

<h2><em>-13</em></h2>

8 0
3 years ago
Read 2 more answers
A fair coin is to be tossed 20 times. Find the probability that 10 of the tosses will fall heads and 10 will fall tails, (a) usi
lbvjy [14]

Using the distributions, it is found that there is a:

a) 0.1762 = 17.62% probability that 10 of the tosses will fall heads and 10 will fall tails.

b) 0% probability that 10 of the tosses will fall heads and 10 will fall tails.

c) 0.1742 = 17.42% probability that 10 of the tosses will fall heads and 10 will fall tails.

Item a:

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • 20 tosses, hence n = 20.
  • Fair coin, hence p = 0.5.

The probability is <u>P(X = 10)</u>, thus:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 10) = C_{20,10}.(0.5)^{10}.(0.5)^{10} = 0.1762

0.1762 = 17.62% probability that 10 of the tosses will fall heads and 10 will fall tails.

Item b:

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • The binomial distribution is the probability of <u>x successes on n trials, with p probability</u> of a success on each trial. It can be approximated to the normal distribution with \mu = np, \sigma = \sqrt{np(1-p)}.

The probability of an exact value is 0, hence 0% probability that 10 of the tosses will fall heads and 10 will fall tails.

Item c:

For the approximation, the mean and the standard deviation are:

\mu = np = 20(0.5) = 10

\sigma = \sqrt{np(1 - p)} = \sqrt{20(0.5)(0.5)} = \sqrt{5}

Using continuity correction, this probability is P(10 - 0.5 \leq X \leq 10 + 0.5) = P(9.5 \leq X \leq 10.5), which is the <u>p-value of Z when X = 10.5 subtracted by the p-value of Z when X = 9.5.</u>

X = 10.5:

Z = \frac{X - \mu}{\sigma}

Z = \frac{10.5 - 10}{\sqrt{5}}

Z = 0.22

Z = 0.22 has a p-value of 0.5871.

X = 9.5:

Z = \frac{X - \mu}{\sigma}

Z = \frac{9.5 - 10}{\sqrt{5}}

Z = -0.22

Z = -0.22 has a p-value of 0.4129.

0.5871 - 0.4129 = 0.1742.

0.1742 = 17.42% probability that 10 of the tosses will fall heads and 10 will fall tails.

A similar problem is given at brainly.com/question/24261244

6 0
2 years ago
Which of the following is the function F(x) if F^-1(x) = x+4/11?
Marianna [84]

Answer:

B. F(x) =X-4/11

Step-by-step explanation:

We are given the inverse function;

f^(-1)(x) = x + 4/11

Thus means, x was replaced with y and vise versa. Thus;

x = y + 4/11

Lets make y the subject;

y = x - 4/11

Thus,in inverse of a function we replace y with f(x) for the original function or f^(1)(x) for the inverse.

Thus, putting f(x) for y gives;

f(x) = x - 4/11

8 0
2 years ago
HelpmeeeeeeeeeeeeeeeeeeeeHelpmeeeeeeeeeeeeeeeeeeee
babunello [35]

Answer:

300

Step-by-step explanation:

3x 10 2 power

7 0
3 years ago
Read 2 more answers
Surface area of a sphere. Please help and no links please.
V125BC [204]

Answer:

725.4656 - surface area

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Lamar works as a tutor for $7 an hour and as a waiter for $8 an hour . this month he worked a combined total of 92 hours at his
    8·1 answer
  • In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th
    11·1 answer
  • The weekly earnings of students in one age group are normally distributed with a standard deviation of 47 dollars. A researcher
    13·1 answer
  • Which fraction represent the given fraction rewritten with their LCD?<br> 1/3x-9y, 6/5x-15y
    11·1 answer
  • 4. Let f(x) = 2x +1 and g(x) = x². Find (gºf)(a).
    11·1 answer
  • Find the difference of 11.3 and 1.75.
    10·1 answer
  • 1. The election this week produced a turn out that was 45% from the Democratic party and the rest from the Republican party. Amo
    6·1 answer
  • What percent of 240$ is 12$​
    9·2 answers
  • The Wagner family uses up a 1/2-gallon jug of milk every 3 days. At what rate do they drink milk?
    5·2 answers
  • how much would 500 invested at 4% interest compounded continuously be worth after 7 years? round your answer to the nearest cent
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!