MATHEMATICS COLLEGE

Log8 (t) - log8 (5) = 1

Answers

Answer 1

Answer:

Answer:

t = 40

Step-by-step explanation:

Given the logarithmic expression: $log_8 (t) - log_8 5= 1$

Use the Logarithmic Property (Quotient Rule):

$log_b a - log_b c = log_b ((a)/(c))$

$log_8 (t) - log_8 5 = log_8 ((t)/(5)) = 1$

Next, using the Logarithmic Property: $log_b b= 1$

We must determine the possible value oft that can be divided by 5 to produce a quotient of 8 that will make the logarithmic property, $log_b b= 1$ , true. In that case, t = 40 divided by 5 results in a quotient of 8.

$log_8 (t) - log_8 5 = log_8 ((t)/(5)) = log_8 ((40)/(5)) = log_8 8 = 1$

Therefore, the value oft = 40.

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Answers

Answer:

A. distributive property

Let X be a binomially distributed random variable with parameters n=500 and p=0.3. The probability that X is no larger than one standard deviation above its mean is closest to which of the following? a. 0.579
b. 0.869
c. 0.847
d. 0.680

Answers

Answer:

c. 0.847

Step-by-step explanation:

From the given information;

$X \sim Binomial (500,0.3)$

Given that n = 500 which is too large, binomial distribution can now be approximated to

$N ( \mu , \sigma^2)$

where;

$\mu = np$

$\mu =500 * 0.3$

$\mu =150$

$\sigma^2= np(1-p)$

$\sigma^2= 500 * 0.3(1-0.3)$

$\sigma^2= 150(0.7)$

$\sigma^2= 105\n$

∴

$P(X \leq \mu + \sigma ) = ( (X-\mu)/(\sigma) \leq 1)$

$P(X \leq \mu + \sigma ) = ( Z \leq 1)$

$P(X \leq \mu + \sigma ) =\Phi (1)$

From the z table

$P(X \leq \mu + \sigma ) =0.841$

Thus, our value is closest to the option c which 0.847

Seven more than twice a number is 23.

Answers

Answer:

x=8

Step-by-step explanation:

In other words, you are looking for a number (x) that if you multiply it by two (same as twice) and then add 7, you get 23.

To solve this, you first write the problem as an algebra equation as follows: 2x + 7 = 23

Then you solve the equation by subtracting 7 from both sides, and then divide both sides by 2. Here is the math to illustrate better:

2x + 7 = 23

2x + 7 - 7 = 23 - 7

2x = 16

2x/2 = 16/2

x = 8

Answer:

i think it is 16

Step-by-step explanation:

16 + 7 = 23

What is 1.2 equivalent to

Answers

Answer: 6/5

Step-by-step explanation:

the decimal " 1.2 " is equivalent to the fraction " 6/5 "

Jacob walks 1.250 meters to school every day. How many kilometers does Jacob walk in one week?HELP ASAP

Answers

Answer:

ways and answer are in paper

^^^^^^^

Differentiate Functions of Other Bases In Exercise, find the derivative of the function.y = 3x

Answers

Answer:

The derivative of the function is 3.

Step-by-step explanation:

The derivative of $a*x^(n)$ is $a*n*x^(n-1)$ . The derivative of 20x is 20, for example. The derivative of $40x^(4)$ is $160x^(3)$ .

In this problem

It aks the derivative of a function, which is 3x. Applying the rule that is explained above, we have that the derivative of 3x is 3.

So the derivative of the function is 3.

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