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noname [10]
3 years ago
8

FIRST CORRECT ANSWER GETS BRAINLIEST AND 50 POINTS.

Mathematics
2 answers:
Murrr4er [49]3 years ago
6 0

Answer:

see below

Step-by-step explanation:

A.  5^3 * 5^-4 = 1/5

It has value between  0 and 1

B. 3^5 / 3^-6 = 177147

It doesn't have a value between 0 and 1

C. (1/4)^3 * (1/4)^2 = 1 / 1024

It has value between  0 and 1

D. (-7)^5 / (-7)^7 = 1/49

It has value between  0 and 1

AnnyKZ [126]3 years ago
4 0

Answer:

A) 5^3*5^{-4}=5^{3-4}=5^{-1}=\frac{1}{5} (Yes. It has a value between zero and one.)

B) \frac{3^5}{3^{-6}}=3^{5-\left(-6\right)}=3^{5+6}=3^{11}=177147 (No. It does not have a value between zero and one.)

C) \left(\frac{1}{4}\right)^3* \left(\frac{1}{4}\right)^2=\left(\frac{1}{4}\right)^{3+2}=\left(\frac{1}{4}\right)^5=\frac{1^5}{4^5}=\frac{1}{1024}. (Yes. It has a value between zero and one.)

D) \frac{\left(-7\right)^5}{\left(-7\right)^7}=\left(-7\right)^{5-7}=\left(-7\right)^{-2}=\frac{1}{\left(-7\right)^2}=\frac{1}{49} (Yes. It has a value between zero and one.)

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For a continuous random variable x, the probability density function f(x) represents
jarptica [38.1K]

Answer:

Option d.

Step-by-step explanation:

we know that

The graph of a continuous probability distribution is a curve. Probability is represented by area under the curve.

The curve is called the probability density function (abbreviated as pdf).

We use the symbol f(x) to represent the curve

therefore

The probability density function f(x) represents . the height of the function at  x.

7 0
3 years ago
Negative 4 is greater than or less than negative 1
kirill115 [55]
Negative 4 is less than negative 1
6 0
3 years ago
Read 2 more answers
Rewrite the equation of the parabola in vertex form.
aleksandrvk [35]
The answer would be y=(x+4)^2-37
5 0
2 years ago
If three times a number minus 2 equals 13, what is the number?
Nana76 [90]
Change the messy words into numerals
3     times          a number         minus            2           equals         13
3          ×                n                     -                 2               =               13

3n - 2 = 13
take 2 to the other side
3n - 2 + (2)  = 13 + (2)
3n = 15

Divide by 3 on either sides to isolate n
\frac{3n}{3} = \frac{15}{3}
3 and 3 cancels out

n = 5

check:
3 times 5 minus 2 equals 13
3     ×    5       -      2     =     13
15    -      2        =          13
13            =               13

The number is 5
3 0
3 years ago
15. Explain why we need to specify 0 < b < 1 and b > 1 as valid values for the base b in the expression logb(xx).
damaskus [11]

Answer:

The base (b) has to be positive and different of 1. The logarithm is the inverse of exponential, so:

logb(a) = x ⇒ a = bˣ

So, for b = 0 ⇒ 0ˣ = a

And there is impossible, "a" only could be 0.

For b = 1 ⇒ 1ˣ = a

And the same thing would happen, the logarithming would be to be 1, and the function will be extremally restricted.

For b<0, then the expression a = bˣ will be also restricted, and will not represent all values of a.

So, 0<b<1 and b >1.

3 0
3 years ago
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