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2 years ago

Find the greatest common factor of -30 x4yz3 and 75 x4z2 . ____x^? Z^?

Mathematics

2 answers:

Travka [436]2 years ago

7 0

First find the common factor of -30 and 75, which is 15.

Next find the common factors of the variables:

The factors of x$6 is x*x*x*x

Factor for y is y

Factors for Z^3 is z*z*z

Factors for Z^2 is z*z

The GCF would be x^4z^2

Final answer = 15x^4z^2

luda_lava [24]2 years ago

5 0

Answer:

15x^4z^2

Step-by-step explanation:

We need to break each term into the smallest factors

30 = 3*10 = 3*2*5

75 = 3*25 = 3*5*5

-30 x^4yz^3 = -3*2*5 * xxxxyzzz

75 x^4z^2 = 5*5*3xxxxzz

What common factors are in each term

3*5*xxxx*zz

15x^4z^2

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If x = 9 units and h = 4 units, then what is the area of the triangle shown above?

Aleks04 [339]

Answer:

Step-by-step explanation:

The area of triangle is b*h/2

so it will be 36/2 which will be 18

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7 0

1 year ago

Write an equation for which 0 is a solution

masha68 [24]

Answer:

x-y=0

Hope this helped

4 0

2 years ago

The random variable x has the following probability distribution: x f(x) 0 .25 1 .20 2 .15 3 .30 4 .10 a. Is this probability di

Reptile [31]

Answer and Explanation:

Given : The random variable x has the following probability distribution.

To find :

a. Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.

b. Calculate the expected value of x.

c. Calculate the variance of x.

d. Calculate the standard deviation of x.

Solution :

First we create the table as per requirements,

x P(x) xP(x) x² x²P(x)

0 0.25 0 0 0

1 0.20 0.20 1 0.20

2 0.15 0.3 4 0.6

3 0.30 0.9 9 2.7

4 0.10 0.4 16 1.6

∑P(x)=1 ∑xP(x)=1.8 ∑x²P(x)=5.1

a) To determine that table shows a probability distribution we add up all five probabilities if the sum is 1 then it is a valid distribution.

$\sum P(X)=0.25+0.20+0.15+0.30+0.10$

$\sum P(X)=1$

Yes it is a probability distribution.

b) The expected value of x is defined as

$E(x)=\sum xP(x)=1.8$

c) The variance of x is defined as

$V=\sum x^2P(x)-(\sum xP(x))^2\\V=5.1-(1.8)^2\\V=5.1-3.24\\V=1.86$

d) The standard deviation of x is defined as

$\sigma=\sqrt{V}$

$\sigma=\sqrt{1.86}$

$\sigma=1.136$

5 0

2 years ago

Kayla and latasha work for a department store the amount of sales they made over the last year was collected monthly in the data

tresset_1 [31]

Based on the information represented by the boxplot ;

Latasha's lowest sale amount = 50

Kayla's median is between 200 and 300

Latasha has a greater spread due to higher IQR value

1.) The Lowest amount of sale made by Latasha in one month

The minimum value is denoted by the starting position of the lower whisker on a boxplot.

Lowest amount of sale made by Latasha = 50

2.) 50% of sales made by Kayla :

50% of sales made marks the median value in a boxplot, it is denoted by the vertical line in between the box.

50% of sales made by Kayla is between 200 and 300

With median sale value being 250

3.) Spread of the middle 50% of sales :

The measure of spread of the middle 50% of a distribution on a boxplot is the Interquartile range (IQR) of the distribution

IQR = Upper Quartile (Q3) - Lower quartile(Q1)

For Latasha :

Q3 = 450 (Endpoint of the box)
Q1 = 150 (starting point of the box)

IQR = 450 - 150 = 300

For Kayla :

Q3 = 375 (Endpoint of the box)
Q1 = 100 (starting point of the box)
IQR = 375 - 100 = 275

Since, Latasha's IQR is greater than Kayla's, then Latasha has a greater mid 50% spread than Kayla.

Learn more :brainly.com/question/24582786

4 0

1 year ago

Solve for x x^2 - 2x - 35 = 0x

olga_2 [115]

Answer:

x = 7

x = -5

Step-by-step explanation:

Given

x² - 2x - 35 = 0

Consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)

The factors are - 7 and + 5, since

- 7 × 5 = - 35 and - 7 + 5 = - 2, thus

(x - 7)(x + 5) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 7 = 0 ⇒ x = 7

4 0

2 years ago