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
zloy xaker [14]
2 years ago
11

Please rewrite using the distributive property and GCF 81-30

Mathematics
1 answer:
Nitella [24]2 years ago
4 0
7 hello it is me caved dragon
You might be interested in
A state legislator wants to determine whether his voters' performance rating (0 - 100) has changed from last year to this year.
ra1l [238]

Answer:

Step 1 of 4

Point estimate for the population mean of the paired differences = -8.2

Step 2 of 4

Sample standard deviation of the paired differences = 16.116244

Step 3 of 4

Margin of Error = ±9.326419

Step 4 of 4

90% Confidence interval = (-17.5, 1.1)

Step-by-step explanation:

The ratings from last year and this year are given in table as

Rating (last year) | x1 | 87 67 68 75 59 60 50 41 75 72

Rating (this year) | x2| 85 52 51 53 50 52 80 44 48 57

Difference | x2 - x1 | -2 -15 -17 -22 -9 -8 30 3 -27 -15

Step 1 of 4

Mean = (Σx)/N = (-82/10) = -8.2 to 1 d.p.

Step 2 of 4

Standard deviation for the sample

= √{[Σ(x - xbar)²]/(N-1)} = 16.116244392951 = 16.116244 to 6 d.p.

Step 3 of 4

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = -8.2

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution. This is because there is no information provided for the population standard deviation.

To find the critical value from the t-tables, we first find the degree of freedom and the significance level.

Degree of freedom = df = n - 1 = 10 - 1 = 9.

Significance level for 90% confidence interval

= (100% - 90%)/2 = 5% = 0.05

t (0.05, 9) = 1.83 (from the t-tables)

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample = 16.116244

n = sample size = 10

σₓ = (16.116244/√10) = 5.0964038367

Margin of Error = (Critical value) × (standard Error of the mean) = 1.83 × 5.0964038367 = 9.3264190212 = 9.326419 to 6 d.p.

Step 4 of 4

90% Confidence Interval = (Sample mean) ± (Margin of Error)

CI = -8.2 ± (9.326419)

90% CI = (-17.5264190212, 1.1264190212)

90% Confidence interval = (-17.5, 1.1)

Hope this Helps!!!

4 0
3 years ago
2 + 2 is 4 - ? thas ? ______<br> Brainliest for whoever completes the verse ;)))
eduard
2+2 is 4 - 1 is 3 QUICK MATHS
7 0
3 years ago
Read 2 more answers
Graph the inequality.<br> -6 ≤y + 2x &lt; 15
omeli [17]

Inequalities help us to compare two unequal expressions. The correct option is B.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.


The given inequality -6 ≤y + 2x < 15 can be broken into two small inequality, as shown below.

  • -6 ≤y + 2x
  • y + 2x < 15

Now, if we plot the inequality as shown below, then the area in which both the shaded region overlap is the area of the this inequality.

Hence, the correct option is B.

Learn more about Inequality:

brainly.com/question/19491153

#SPJ1

6 0
2 years ago
Which expression is equivalent to (x^4/3x^2/3)^1/3
stellarik [79]

Answer:

x 8/9

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Brainliest eeeeeeeeeeeeee
alekssr [168]

Answer:

3 / 4

Step-by-step explanation:

We can realize that both the numerator and denominator have a common factor of 9. We can divide them both by 9 to get:

3 / 4

This fraction is in simplest form.

8 0
3 years ago
Read 2 more answers
Other questions:
  • The reference angle for an angle whose measure is 260° is _____.60°80°100°
    7·1 answer
  • Alicia paid $1.32 for a bag of pinto beans. The beans cost $.55 per lb. how much did the bag of pinto beans weigh
    8·1 answer
  • 9x895=9×(_-_)<br> =(9×_)-(_×5)<br> =_-_<br> =_
    8·1 answer
  • Write an integer to describe the situation AND explain the meaning of zero. RISING 7 DEGREES
    7·1 answer
  • Please help. i'm currently failing !
    5·2 answers
  • What is the value of y? <br><br><br><br> Thank you :)
    6·2 answers
  • Please help me ASAP
    10·1 answer
  • Jamie recorded vehicle turning choices at the intersection near his house. He organized the results in the table shown.
    7·2 answers
  • If x=8, what is the value of x(19-x)?
    11·1 answer
  • Consider figures 1 and 2 shown on the coordinate plane. Figure 1 has been transformed to produce figure 2. Graph shows 2 quadril
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!