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
amm1812
2 years ago
10

What is (a+b)(a-b) equal

Mathematics
2 answers:
Alja [10]2 years ago
5 0

Answer:a squared-b squared

Step-by-step explanation:

ryzh [129]2 years ago
5 0

Answer:

(a+b)(a-b)=a^{2} -b^{2}

Step-by-step explanation:

This is a example of <em>remarkable identities</em>.

We know that the result of multiplication is called product and the values ​​that multiply are called factors.

We call <em>remarkable identities </em>to certain algebraic expressions with binomial products very frequent in the calculation.

For this example, we got a <em>Product of the sum for the difference of two binomials</em>.

(a+b)(a-b)

The product of the sum for the difference of two binomials is equal to the square of the first quantity, minus the square of the second.

(a+b)(a-b)=a^{2} -b^{2}

Demostration:

(a+b)(a-b)= a^{2} -ab+ab-b^{2}=a^{2} -b^{2}

.

You might be interested in
Ramos went to a pizza shop and spent half of his money on lunch. If Ramos had $4.50 left after lunch, how much money did he have
blondinia [14]

The Answer is $9.00 because if you just add 4.50 to 4.50 it is $9:00.

7 0
2 years ago
A sample size 25 is picked up at random from a population which is normally
Margarita [4]

Answer:

a) P(X < 99) = 0.2033.

b) P(98 < X < 100) = 0.4525

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 estabilishes 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.

Mean of 100 and variance of 36.

This means that \mu = 100, \sigma = \sqrt{36} = 6

Sample of 25:

This means that n = 25, s = \frac{6}{\sqrt{25}} = 1.2

(a) P(X<99)

This is the pvalue of Z when X = 99. So

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

By the Central Limit Theorem

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

Z = \frac{99 - 100}{1.2}

Z = -0.83

Z = -0.83 has a pvalue of 0.2033. So

P(X < 99) = 0.2033.

b) P(98 < X < 100)

This is the pvalue of Z when X = 100 subtracted by the pvalue of Z when X = 98. So

X = 100

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

Z = \frac{100 - 100}{1.2}

Z = 0

Z = 0 has a pvalue of 0.5

X = 98

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

Z = \frac{98 - 100}{1.2}

Z = -1.67

Z = -1.67 has a pvalue of 0.0475

0.5 - 0.0475 = 0.4525

So

P(98 < X < 100) = 0.4525

6 0
2 years ago
Perry borrows $350 at a simple interest rate of 4.5%. Perry pays back the loan in 30 months. How much interest does Perry pay on
Nitella [24]

Answer: the interest on the loan is $39.38

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

From the information given,

P = $350

R = 4.5%

There are 12 months in a year. Converting 30 months into years, it becomes

30/12 = 2.5. so

T = 2.5 years

Therefore

I = (350 × 4.5 × 2.5)/100

I = $39.38

3 0
3 years ago
Question number 10 please answer fast it is urgent
Flura [38]

Sorry but, question is not completely seen


6 0
2 years ago
A fully inflated basketball has a radius of 12
valentinak56 [21]

The volume of air needed is equal to the volume of the sphere, which is 7,234.56 cm^3.

<h3>How to get the volume of a sphere?</h3>

The volume of air that we need is equal to the volume of the basketball.

Remember that for a sphere of radius R, the volume is:

V = (4/3)*3.14*R^3

In this case, the radius is 12cm, replacing that we get:

V = (4/3)*3.14*(12cm)^3 = 7,234.56 cm^3

Then, to fully inflate the ball, we need  7,234.56 cm^3 of air.

If you want to learn more about spheres, you can read:

brainly.com/question/10171109

7 0
2 years ago
Other questions:
  • Tessa's class had a math exam where the grades were between 0 and 10. N(g) models the number of students whose grade on the exam
    13·2 answers
  • Whats the measure of an interior angle of a regular 12 sided
    13·1 answer
  • U/4 = 8/3<br><br>Round your answer to the nearest tenth.<br><br>u=____
    5·1 answer
  • Use lagrange multipliers to find the shortest distance, d, from the point (4, 0, −5) to the plane x y z = 9.
    13·1 answer
  • Three things you use negative numbers for in real life
    6·2 answers
  • The sum of two positive integers 76. The first number is three times the second number. Find the two numbers. What are the two n
    9·1 answer
  • Can someone please help me with this
    8·1 answer
  • What is an angle whose vertex is the center of the polygon whose sides are drawn totwo consecutive vertices
    15·1 answer
  • 5(6+9) what is the sum of 30 and another whole number
    14·2 answers
  • HELLO! HOW ARE THEY? I HOPE PERFECT. : D
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!