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3 years ago

Is the expression x5×5×5 equivalent to (x5)3 . Why or why not? Explain your reasoning.

1 answer:

3 0

No, it is not equivalent to (x5)3. If yoh were to put 1 as a substitute for x5; 1 × 1× 1 equals 1, as represented in x5x5x5. The thing is (1)3 equals 3, as shown in (x5)3. You can substitute x5 for any number. x5x5x5 is more like it is raised to the third power than multiplied by 3.

Hope this helps!!!

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Identify which statement about the mean of a discrete random variable is not true or state that they are all true.Choose the cor

pashok25 [27]

Answer:

A, C are true . B is not true.

Step-by-step explanation:

Mean of a discrete random variable can be interpreted as the average outcome if the experiment is repeated many times. Expected value or average of the distribution is analogous to mean of the distribution.

The mean can be found using summation from nothing to nothing x times Upper P (x) , i.e ∑x•P(x).

Example : If two outcomes 100 & 50 occur with probabilities 0.5 each. Expected value (Average) (Mean) : ∑x•P(x) = (0.5)(100) + (0.5)(50) = 50 + 25 = 75

The mean may not be a possible value of the random variable.

Example : Mean of possible no.s on a die = ( 1 + 2 + 3 + 4 + 5 + 6 ) / 6 = 21/6 = 3.5, which is not a possible value of the random variable 'no. on a die'

4 0

3 years ago

The radius of a circle is 8 inches. What is the circle's area?

sveta [45]

Answer:

200.96

Step-by-step explanation:

3.14 x (8x8) = 200.96

8 0

3 years ago

The length of a rectangle is 3cm more than the width. The area is 70cm^2. Find the dimensions of the rectangle

Rom4ik [11]

Let width be x
Length would be x + 3
Area = L * W
Make an equation
(x) * (x+3) = 70
x^2 + 3x = 70
x^2 + 3x - 70 = 0
Quadratic formula
(-3 +/- rt 3^2 - 4 * 1 * (-70))/(2 * 1)
x1 = (-3 + 17)/2, x2 = (-3-17)/2
x = 7, x = -10
Dimension cannot be negative

Solution: width = 7
Length = 10

7 0

3 years ago

Someone please help me

aliina [53]

Answer:

8. Louis

9. Rose; Raymond

Step-by-step explanation:

8. An exponent represents the number of times the base appears as a factor in the product.

We use a coefficient to signify repeated addition: 3x means x+x+x.

We use an exponent to signify repeated multiplication. x³ means x·x·x.

So, the expression ...

$4^2\cdot 4^5\text{ means }(4\cdot4)\cdot(4\cdot4\cdot4\cdot4\cdot4)$

You can see that the factor 4 appears 7 times in the product, so would be represented in exponential form as ...

$4^2\cdot4^5=\boxed{4^7}$

Louis has correctly observed this fact. In general, we see that multiplying powers of the same base causes those powers to be added.

<u>Part A</u>. Rose is correct for the same reason as in problem 8.

5^5 · 5^2 = 5^(5+2) = 5^7

<u>Part B</u>. Raymond is correct. We know that division cancels similar terms from the numerator, so ...

$\dfrac{7^9}{7^5}=\dfrac{7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7}{7\cdot7\cdot7\cdot7\cdot7}=7\cdot7\cdot7\cdot7=7^{9-5}=7^4$

The rules of exponents we're using here are ...

(a^b)(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c)

4 0

3 years ago

PLEASE HELP,u will get BRAINLY, What would be an algebraic equation to show how many marbles could fill up the jar?

kvasek [131]

Answer:

of marbles,x 7.5cm height of water, Y

Step-by-step explanation:

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3 years ago