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
dimulka [17.4K]
3 years ago
15

Factor 3a^2+6ab-24b^2

Mathematics
1 answer:
Monica [59]3 years ago
7 0
(3a²+6ab-24²)= 3a(a+2b)x(4b)
You might be interested in
Write a word problem for this equation, $2*n=18​
Vesna [10]

Answer:

Josh sold all of his collectable baseball cards (n), for $2 each. After selling them all he counted his money and he had $18. How many baseball cards did Josh sell?

4 0
3 years ago
A submarine is 730 m below sea level. An airplane that is directly over the submarine is 9,144 m above sea level. What is the ve
Rina8888 [55]
Submarine: -730
Airplane: 9,144
|-730-9,144|=|-9,874|=9,874
|d|: absolute value
The vertical distance between the submarine and airplane is 9,874 meters.
4 0
3 years ago
Read 2 more answers
The average American man consumes 9.8 grams of sodium each day. Suppose that the sodium consumption of American men is normally
Alex Ar [27]

Answer:

(a) The distribution of <em>X</em> is <em>N</em> (9.8, 0.8²).

(b) The probability that an American consumes between 8.8 and 9.9 grams of sodium per day is 0.4461.

(c) The middle 30% of American men consume between 9.5 grams to 10.1 grams of sodium.

Step-by-step explanation:

The random variable <em>X</em> is defined as the amount of sodium consumed.

The random variable <em>X</em> has an average value of, <em>μ</em> = 9.8 grams.

The standard deviation of <em>X</em> is, <em>σ</em> = 0.8 grams.

(a)

It is provided that the sodium consumption of American men is normally distributed.

The random variable <em>X</em> follows a normal distribution with parameters <em>μ</em> = 9.8 grams and <em>σ</em> = 0.8 grams.

Thus, the distribution of <em>X</em> is <em>N</em> (9.8, 0.8²).

(b)

If X ~ N (µ, σ²), then Z=\frac{X-\mu}{\sigma}, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z ~ N (0, 1).

To compute the probability of  Normal distribution it is better to first convert the raw score (<em>X</em>) to <em>z</em>-scores.

Compute the probability that an American consumes between 8.8 and 9.9 grams of sodium per day as follows:

P(8.8

                           =P(-1.25

Thus, the probability that an American consumes between 8.8 and 9.9 grams of sodium per day is 0.4461.

(c)

The probability representing the middle 30% of American men consuming sodium between two weights is:

P(x_{1}

Compute the value of <em>z</em> as follows:

P(-z

The value of <em>z</em> for P (Z < z) = 0.65 is 0.39.

Compute the value of <em>x</em>₁ and <em>x</em>₂ as follows:

-z=\frac{x_{1}-\mu}{\sigma}\\-0.39=\frac{x_{1}-9.8}{0.8}\\x_{1}=9.8-(0.39\times 0.8)\\x_{1}=9.488\\x_{1}\approx9.5     z=\frac{x_{2}-\mu}{\sigma}\\0.39=\frac{x_{1}-9.8}{0.8}\\x_{1}=9.8+(0.39\times 0.8)\\x_{1}=10.112\\x_{1}\approx10.1

Thus, the middle 30% of American men consume between 9.5 grams to 10.1 grams of sodium.

4 0
3 years ago
A square has an area of 100m2 (100m squared)
Nonamiya [84]
Since we know that the area is 100 and we are dealing with a square, that means that all sides are equal. We know that the sides are all 10 because 10*10= 100.

To find the perimeter, we add up all the sides: 10+10+10+10 = 40m
6 0
3 years ago
If MN = PQ AND PQ = RS then MN = RS
shtirl [24]
The answer for this problem would be : true
8 0
3 years ago
Other questions:
  • Uyuan
    13·1 answer
  • Elias received a W-2 showing total compensations of $36,038. What is the amount of FICA tax he paid for the year? A) $522.55 B)
    5·1 answer
  • The side of a square measures (3x − 6) units. Part A: What is the expression that represents the area of the square? Show your w
    14·2 answers
  • 4a-2b+40 when a=2 and b=7
    14·2 answers
  • Help i can't figure this out. Can someone help explain how to do this
    8·1 answer
  • The possible outcomes of rolling a number cube are landing on a 1, landing on a 2, landing on a 3, landing on a 4, landing on a
    5·1 answer
  • Plsss help I don’t have time!!!!!
    6·1 answer
  • Combine like terms to complete the equivalent expression. 2 1/2 z² + 4 1/2 + 7z - 4 +5z - 1/2 z² = ( _ z² - _z²) + ( 7z + _ z) +
    14·1 answer
  • Donna is selling cucumbers from her backyard garden. Her garden is 56 square feet in total and she can grow 1 cucumber every 72
    12·1 answer
  • HELP
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!