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
wlad13 [49]
3 years ago
14

- A square rug has an area of 49x^2-56x+16.

Mathematics
1 answer:
CaHeK987 [17]3 years ago
8 0

(49x^2 - 56x + 16) - (16x^2 + 24x + 9)

49x^2 - 56x + 16 - 16x^2 - 24x - 9

33x^2 - 80x + 7

You could simply subtract the numbers as is, which I've shown above. Or, you may be able to factor first, then subtract.

Hope this helps!! :)

You might be interested in
Assume the average height for American women is 64 inches with a standard deviation of 2 inches. A sorority on campus wonders if
satela [25.4K]

Answer:

a) s = 0.4

b) Z = 2.5

c) 99th percentile.

d) The larger sample size would lead to a smaller margin of error, which would lead to a higher z-score and a increased percentile.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume the average height for American women is 64 inches with a standard deviation of 2 inches

This means that \mu = 64, \sigma = 2

A) Calculate the standard error for the distribution of means.

Sample of 25 means that n = 25, so s = \frac{2}{\sqrt{25}} = 0.4.

B) Calculate the z statistic for the sorority group.

Sample mean of 65 means that X = 65.

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

By the Central Limit Theorem

Z = \frac{X - \mu}{0.4}

Z = \frac{65 - 64}{0.4}

Z = 2.5

C) What is the approximate percentile for this sample? Enter as a whole number.

Z = 2.5 has a p-value of 0.9938, so 0.99*100 = 99th percentile.

D) If the sorority actually had 36 members (still with an average of 65 inches), would you expect the percentile value to increase or decrease? why?

The larger sample size would lead to a smaller margin of error, which would lead to a higher z-score and a increased percentile.

3 0
3 years ago
Find the area of a parallelogram with sides of 6 and 12 and an angle of 60°.
Anna007 [38]

ANSWER

36√3 square units.

EXPLANATION

The area of a parallelogram is obtained by multiplying the base by the height.

We use the sine ratio to obtain the height.

\sin(60 \degree)  =  \frac{h}{6}

h = 6 \sin(60 \degree)

h = 3 \sqrt{3}

The area becomes:

12 \times 3 \sqrt{3}  = 36 \sqrt{3} {units}^{2}

4 0
3 years ago
WILL GIVE 10 POINTS Leona was using an eyedropper to place droplets in a small container.
il63 [147K]

Answer:

A. milliliters     B. 8 fluid ounces

Step-by-step explanation:

An eyedropper is very small and can only hold a small amount.  You can eliminate 2 from the start: millimeter and meter.  These two are use for measuring distance not volume.  ex.) I walked 2 meters.  A liter is too big for an eyedropper.  ex.) 1 liter of soda.

A glass full of juice would be 8 fuild ounces because a glass is basically a cup.  A 8 gallons is too big, and a 8 tablespoons is too small.  ex.) gallon of milk and tablespoon of sugar.  8 cups is too big because a glass is about 1 cup.  8 fluid ounces = 1 cup

4 0
3 years ago
Can you put these in order (picture shown)
Svet_ta [14]
0.1/2.1 I hope that helps
6 0
3 years ago
32 is the geometric mean of 16 and what other number
Veseljchak [2.6K]

32 is the geometric mean of 16 and 48.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Paula’s living room is in the shape of a rectangle. It measures 20 feet long and 10 feet wide. What is the area of her living ro
    14·2 answers
  • What's the simplest form 1.4/7
    13·2 answers
  • Simplify this expression.
    5·2 answers
  • Rand has 10 points. Randy has 8 points. how many more does Rand have than Randy?
    10·2 answers
  • How do I find the perimeter of similar triangles? (Geometry)
    12·1 answer
  • The graph of y = e−x + 3 is shown. What are the y-intercept and the horizontal asymptote, and do they represent exponential grow
    15·1 answer
  • What is the slope of the line which passes through the
    15·1 answer
  • Someone help this is my last night for this I will cashapp you I’m not lying
    7·1 answer
  • The figure below is a scale drawing of a
    15·1 answer
  • Which of the following numbers is shown plotted on the number line ?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!