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
Veseljchak [2.6K]
3 years ago
6

The work of a student to find the dimensions of a rectangle of area 8 + 16x and width 4 is shown below:

Mathematics
1 answer:
Leya [2.2K]3 years ago
3 0

Answer:

Step 1: 8 + 16x Step 2: 4(4) + 4(12x) Step 3: 4(4 + 12x) Step 4: Dimensions of the rectangle are 4 and 4 + 12x In which step did the student first make an error and what is the correct step? Step 3; 4 + (4 + 12x) Step 3; 4 + (4 ⋅ 12x) Step 2; 4(2) + 4(4x) Step 2; 4(2) + 4x(2)

You might be interested in
25+25= so first u want to add 5+5so that equals 10 so u put the one on the top of 2 then u add2+2+1 so that equals 5 so ur answe
goblinko [34]

Answer:

So you pretty much just solved your math by yourself :)

Step-by-step explanation:

7 0
3 years ago
What is the decimal value of 5/6
Alex787 [66]

Answer:

0.83

Step-by-step explanation:

The 3 keeps going on and on and on :)

4 0
3 years ago
Read 2 more answers
What is the square root of ten
lyudmila [28]
10 is not a perfect square I believe
8 0
3 years ago
A random sample of 100 teletype operators indicates that their salaries fluctuate quite a bit. The sample Standard deviation of
ELEN [110]

Answer:

\frac{(99)(10)^2}{123.225} \leq \sigma^2 \leq \frac{(99)(10)^2}{77.046}

80.341 \leq \sigma^2 \leq 128.495

Now we just take square root on both sides of the interval and we got:

8.963 \leq \sigma \leq 11.336

Step-by-step explanation:

Data given and notation

s=10 represent the sample standard deviation

\bar x represent the sample mean

n=100 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 .

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

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

df=n-1=100-1=99

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(0.05,99)" "=CHISQ.INV(0.95,99)". so for this case the critical values are:

\chi^2_{\alpha/2}=123.225

\chi^2_{1- \alpha/2}=77.046

And replacing into the formula for the interval we got:

\frac{(99)(10)^2}{123.225} \leq \sigma^2 \leq \frac{(99)(10)^2}{77.046}

80.341 \leq \sigma^2 \leq 128.495

Now we just take square root on both sides of the interval and we got:

8.963 \leq \sigma \leq 11.336

5 0
3 years ago
Does a rectangle have one line of symmetry
Thepotemich [5.8K]

No, it has more than one. A rectangle is symmetric with respect to its diagonals, and the lines connecting the midpoints of two opposite sides.

8 0
3 years ago
Other questions:
  • A total of 75 cookies and cakes were donated for a bake sale to raise money for the football team. There were four times as many
    5·2 answers
  • What is nine divided by one and two thirds
    8·1 answer
  • Are 4(2x-6) and 8x-24 equal?If they are how?
    7·2 answers
  • 3(x+y)=7(y-x), 5(3x-y)=x+3​
    5·2 answers
  • Jada will draw two scale drawings of the same object on 1-cm grid paper. Each centimetre will represent a greater distance in th
    8·1 answer
  • The radius of a circle is 6 kilometers. What is the area of a sector bounded by a 45° arc?
    5·1 answer
  • Find the slope (if defined) of the line that passes through the given points. (-1, 6) and (5, 5)
    11·2 answers
  • I bought a carpet for my bedroom. The length of the carpet was 6 ft. The width was 12 ft. How many square feet is my carpet?
    9·1 answer
  • Factor x3 – 7x + 6 completely given that (x - 2) is a factor.
    8·1 answer
  • 15 points!!! And brainliest!!! Please answer only if you actually know the answer. Thank you
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!