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
Tasya [4]
3 years ago
13

Tyler's height is 57 inches. What could be his height in centimeters? Explain your resoning. Nost: 1 inch=2.54 centimeters

Mathematics
1 answer:
AfilCa [17]3 years ago
4 0

Answer:

Tyler's height in centimeters is, 144.78 centimeters.

Step-by-step explanation:

Given the statement: Tyler's height is 57 inches.

To find his height in centimeters.

Using the conversion:

1 {\tex}inch = 2.54 {\tex}centimeters

Proportion states that the two ratios or fraction are equal.

Using proportion method:

\frac{1}{57} = \frac{2.54}{x}

By cross multiply, we get

x = 57 \times 2.54 = 144.78 centimeters.

therefore, his height in centimeter is, 144.78 inches.

You might be interested in
The random variable x has the following probability distribution: x f(x) 0 .25 1 .20 2 .15 3 .30 4 .10 a. Is this probability di
Reptile [31]

Answer and Explanation:

Given : The random variable x has the following probability distribution.

To find :

a. Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.

b. Calculate the expected value of x.

c. Calculate the variance of x.

d. Calculate the standard deviation of x.

Solution :

First we create the table as per requirements,

x      P(x)         xP(x)           x²            x²P(x)

0    0.25           0               0                0

1     0.20        0.20             1              0.20

2    0.15          0.3               4             0.6

3    0.30         0.9               9             2.7

4    0.10          0.4               16             1.6

   ∑P(x)=1     ∑xP(x)=1.8               ∑x²P(x)=5.1

a) To determine that table shows a probability distribution we add up all five probabilities if the sum is 1 then it is a valid distribution.

\sum P(X)=0.25+0.20+0.15+0.30+0.10

\sum P(X)=1

Yes it is a probability distribution.

b) The expected value of x is defined as

E(x)=\sum xP(x)=1.8

c) The variance of x is defined as

V=\sum x^2P(x)-(\sum xP(x))^2\\V=5.1-(1.8)^2\\V=5.1-3.24\\V=1.86

d) The standard deviation of x is  defined as

\sigma=\sqrt{V}

\sigma=\sqrt{1.86}

\sigma=1.136

5 0
3 years ago
Jay traveled from Miami to Jacksonville, a distance of 320 miles. He left Miami at 8:00 AM, stopped for lunch for 30 minutes, an
fredd [130]
Distance Rate times Time
320= R 5.25
R= 60.9
R= 61 mph
5 0
3 years ago
Multiple Choice :)
Ivahew [28]
Solve system of inequalities graphically

5 0
3 years ago
Your boss tells you that she knows the length of the widgets your company makes is normally distributed with a mean of 25 inches
sp2606 [1]

Answer:

Mean of sampling distribution = 25 inches

Standard deviation of sampling distribution = 4 inches

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 25 inches

Standard Deviation, σ = 12 inches

Sample size, n = 9

We are given that the distribution of length of the widgets is a bell shaped distribution that is a normal distribution.

a) Mean of the sampling distribution

The best approximator for the mean of the sampling distribution is the population mean itself.

Thus, we can write:

\bar{x} = \mu = 25\text{ inches}

b) Standard deviation of the sampling distribution

s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{12}{\sqrt{9}} = 4\text{ inches}

8 0
3 years ago
Need help Write 6/10 as a percent, decimal
gayaneshka [121]
6 divided by 10 would be 60 percent and .60 as a decimal
4 0
3 years ago
Read 2 more answers
Other questions:
  • (0,1),(1,3),(2,5),(3,7) function rule
    13·1 answer
  • An $8 item is marked up 75%. What is the cost of the item?
    12·1 answer
  • Derivative of tanx-cscx/secx-cotx
    15·1 answer
  • Jenny can type 1,200 words in 15 minutes how many can she type in an hour
    7·2 answers
  • Which of the following distances is the longest?
    10·2 answers
  • Find the radius of each circle. use 3.14for the value of Pie. round your answer to
    5·1 answer
  • The question is in the photo. Please answer with the correct answer.
    12·2 answers
  • What is the value of x
    5·2 answers
  • HELP
    12·2 answers
  • Negative one half minus negative five ninths
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!