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
klemol [59]
3 years ago
12

The perimeter of a triangle is 21. The smallest side is 3. The 2nd side is twice the smallest side. The 3rd side is 6 more than

the 2nd side. Write an equation to solve the perimeter.
Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0

Answer:

9

Step-by-step explanation:

Area is measured in square units. For example in the rectangle above, if the sides are 2 and 4 meters long, then the area is 8 square meters. If the sides were 2 feet and 4 feet long the area would be 8 square feet. The most important thing to remember when calculating area is that.

You might be interested in
A random sample of 9 wheels of cheese yielded the following weights in pounds has a sample mean of 20.90 and a sample variance o
Ronch [10]

Answer:

2.002 \leq \sigma^2 \leq 11.365

Step-by-step explanation:

1) Data given and notation

s represent the sample standard deviation

s^2 represent the sample variance

n=9 the sample size

Confidence=90% or 0.90

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

On this case we need to find the sample standard deviation with the following formula:

s=sqrt{\frac{\sum_{i=1}^9 (x_i -\bar x)^2}{n-1}}
The sample variance given was [tex]s^2=3.45

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

df=n-1=9-1=8

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical values.  

The excel commands would be: "=CHISQ.INV(0.05,8)" "=CHISQ.INV(0.95,8)". so for this case the critical values are:

\chi^2_{\alpha/2}=15.507

\chi^2_{1- \alpha/2}=2.732

And replacing into the formula for the interval we got:

\frac{(9)(3.45)}{15.507} \leq \sigma \frac{(9)(3.45)}{2.732}

2.002 \leq \sigma^2 \leq 11.365

7 0
3 years ago
A computer uses the function f(h)= 50h + 75 to calculate the total repair bill, f(h), for h number of hours worked. Find h if f(
lyudmila [28]
F(h)=50(h)+75
50(4)+75
200+75=275
f(h)=$275
5 0
3 years ago
What is the equation of the line that is parallel to the given
Artist 52 [7]

Answer:

For as far as I know -6=a-4+b

Step-by-step explanation:

The (-4,-6) are coordinates like (X,Y) now the formula your using is y= ax+b. So the only thing you have to do is fill X and y in from the coordinates into the formula.

8 0
3 years ago
Read 2 more answers
The mean annual income for adult women in one city is $28,520 and the standard deviation of the incomes is $5600. The distributi
pshichka [43]

Answer:

E(\bar{x}) = 28520

Standard error of mean = 689

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $28,520

Standard Deviation, σ = $5600

Mean of sampling distribution =

E(\bar{x}) = \mu = 28520

As per Central Limit Theorem, if the sample size is large enough, then the sampling distribution of the sample means follow approximately a normal distribution.

Sample size, n = 66

Since the sample size is large, we can use normal distribution for approximation.

Standard error of mean =

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{5600}{\sqrt{66}} = 689.31 \approx 689

7 0
3 years ago
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,206 was collected on the sale of 1,322 ticket
vaieri [72.5K]
There were<span> 471 </span>adult<span> and 851 </span><span>student tickets sold</span>
6 0
3 years ago
Other questions:
  • 8(3/16)+2(6 1/4)-13/16<br> How to solve
    6·1 answer
  • An isosceles trapezoid has a perimeter of 34 millimeters. Its shorter base measures 4 millimeters and its longer base measures 6
    10·1 answer
  • I really could use some help on this.. thank you in advance!
    10·1 answer
  • Help please <br> And explain
    5·1 answer
  • Which number is a rational number
    11·1 answer
  • The given point in on the graph of y=f(x). Find a point on the graph of y=g(x)
    6·1 answer
  • Whats 1000 times 29000
    13·2 answers
  • Grumpy Corp drug tests all of the recent college graduates it hires each year. The drug test currently used correctly determines
    9·1 answer
  • The volume of the oceans on Earth is approximately 1,386 million km^3. As the Earth's temperature rises, the ice in the polar ic
    13·2 answers
  • Simplify the fraction
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!