2. Find the value of each variable.<br> (1 point)<br> (y + x)<br> 2xx(y-2)

If log(16)=s, what is the value of 2/3 log(6400) - 1/3 log(1600) in terms of s?

eduard

The value of $\dfrac{ 2}{3} log(6400) - \dfrac{1}{3} log(1600)$ in terms of s will be

$\dfrac{2}{3}(400s)-\dfrac{1}{3}(1000s)$

<h3>What is Logrithm?</h3>

A quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

Here we have the expression:-

$\dfrac{ 2}{3} log(6400) - \dfrac{1}{3} log(1600)$

So in terms of s the expression will become:-

$\dfrac{2}{3}(400s)-\dfrac{1}{3}(1000s)$

To know more about logarithm follow

brainly.com/question/25710806

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8 0

2 years ago

A study claims that college students spend an average of 4 hours or less studying per day. A researcher wants to check if this c

kirill115 [55]

<h2>Answer with explanation:</h2>

Let $\mu$ be the population mean.

By observing the given information, we have :-

$H_0:\mu\leq4\\\\H_a:\mu>4$

Since the alternative hypotheses is left tailed so the test is a right-tailed test.

We assume that the time spend by students per day is normally distributed.

Given : Sample size : n=121 , since n>30 so we use z-test.

Sample mean : $\overline{x}=3.15$

Standard deviation : $\sigma=1.2$

Test statistic for population mean :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

$\Rightarrow\ z=\dfrac{3.15-4}{\dfrac{1.2}{\sqrt{121}}}\\\\\Rightarrow\ z=-7.79166666667\approx-7.79$

Critical value (one-tailed) corresponds to the given significance level :-

$z_{\alpha}=z_{0.1}=1.2816$

Since the observed value of z (-7.79) is less than the critical value (1.2816) , so we do not reject the null hypothesis.

Hence, we conclude that we have enough evidence to accept that the college students spend an average of 4 hours or less studying per day.

4 0

3 years ago

How much money will you have if you started with $1200 and put it in an account that earned 7.3% every year for 10 years?

andrezito [222]

So an exponential equation is gonna be used for this problem. The formula for such is $y=ab^x$ , in which the a variable is the initial value and the b variable is the growth/decay rate.

For this situation, 1200 is gonna be your a variable since you've started out with it. And as for your b variable, its gonna be 107.3%, or 1.073, since it's increasing.

Your equation should look like this: $y=1200(1.073)^x$ and from here just plug in 10 into the x variable and solve.

Multiply (1.073)^10 (don't round answers until the end), and take that answer and multiply it with 1200, your answer should be $2427.61.

$y=1200(1.073)^{10} \\ y=2427.61$

8 0

3 years ago

Compare the values 4x107 is what times as much as 4x103

dezoksy [38]

Answer:

$10^{4}$

Step-by-step explanation:

4 x 10^7 is 40000000

4 x 10^3 is 4000

We are told that 4x10^7 is something times as much as 4x10^3

So we will work backwards to find the answer,

If you divide 40000000 by 4000 you will get 10000

10000 is the same as 10^4

7 0

2 years ago

Read 2 more answers

Which technique for gathering data (observational study or experiment) do you think was used in the following studies?(a) The Co

miv72 [106K]

Answer:

For question a, the correct option is: This is an observational study because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.

For question b, the correct option is: This is an experiment because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.

For question c, the correct option is: This is an experiment because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured.

For question d, the correct option is: This is an observational study because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.

Step-by-step explanation: To give us a background on why the options above were chosen, let us see the difference between Observational study and Experimental study.

In an observational study, the researcher draws inferences from an independent variable that is not under his/her control. While in an experimental study, there in an intervention and the effects of the intervention are studied.

Therefore, in the questions a to d above, all we need to do is identity which variables were influenced and which were merely observed.

For question a, the variables were only observed.

For question b, the variables were influenced.

For question c, the variables were also influenced.

For question d, the variables were merely observed.

6 0

3 years ago

2. Find the value of each variable. (1 point) (y + x) 2xx(y-2)