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2 years ago

What is 12/6 equivalent to

Mathematics

2 answers:

Bond [772]2 years ago

4 0

12/6 is equivalent to 2.

hope this helps!

sveta [45]2 years ago

3 0

Ahh, yes, college can be very had for math. I do struggle with simple fractions.

Jokes aside, 12/6 can be simplified to 2/1 or plainly 2

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I need help making a proof for geometry! Here is the question…

MatroZZZ [7]

Answer:

Step-by-step explanation:

4 0

2 years ago

The national mean annual salary for a school administrator is $90,00 a year (The Cincinnati Enquirer, April 7, 2012). A school o

timurjin [86]

Answer:

a) Null hypothesis: $\mu = 90000$

Alternative hypothesis: $\mu \neq 90000$

b) $p_v =2*P(t_{(24)}$

c) If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean for the salary differs from 9000 at 5% of significance.

Step-by-step explanation:

1) Data given and notation

77600 ,76000 ,90700 ,97200 ,90700 ,101800 ,78700 ,81300 ,84200 ,97600 ,

77500 ,75700 ,89400 ,84300 ,78700 ,84600 ,87700 ,103400 ,83800 ,101300

94700 ,69200 ,95400 ,61500 ,68800

We can calculate the sample mean and deviation with the following formulas:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

The values obtained are:

$\bar X=85272$ represent the mean annual salary for the sample

$s=11039.23$ represent the sample standard deviation for the sample

$n=25$ sample size

$\mu_o =90000$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Part a: State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean salary differs from 90000, the system of hypothesis would be:

Null hypothesis: $\mu = 90000$

Alternative hypothesis: $\mu \neq 90000$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Part b: Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{85272-90000}{\frac{11039.23}{\sqrt{25}}}=-2.141$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=25-1=24$

Since is a two sided test the p value would be:

$p_v =2*P(t_{(24)}$

Part c: Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean for the salary differs from 9000 at 5% of significance.

6 0

3 years ago

Consider the inverse function. which conclusions can be drawn about f(x) = x2 2? select three options.

Elodia [21]

The function has a y-intercept at (0, 2). Then the correct options are A, B, and E.

The complete question is attached below.

<h3>What is the maximum and minimum value of the function?</h3>

The condition for the maximum will be

f"(x) < 0

The condition for the minimum will be

f"(x) > 0

Consider the inverse function.

f⁻¹(x) = -√(x - 2)

Then the conclusion of the function f(x) = x² + 2 will be

Differentiate the function, then we have

f ' (x) = 2x

Again differentiate, then we have

f" (x) = 2

f" (x) > 0

Then the function has a minimum value at (0, 2)

The function has a y-intercept at (0, 2)

Then the correct options are A, B, and E.

More about the maximum and minimum value of the function link is given below.

brainly.com/question/13581879

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5 0

1 year ago

Please help! I will give out brainlist.

Ainat [17]

Answer:

Step-by-step explanation:

This is a Pythagorean Theorem Question

c^2 = a^2 + b^2

c= sqrt(5)

a = x

b = x This is an isosceles right triangle. The vertical side and the horizontal side are equal.

x^2 + x^2 = sqrt(5)^2

2x^2 = 5 Divide both sides by 2

x^2 = 5/2 Take the sqrt of both sides.

√x^2 = √5 / √2 Multiply right side by √2 on both top and bottom

x = √5*√2 / √2*√2

x = √10 /2

7 0

2 years ago

In 25 minutes, Jay can run 10 laps around the track. Write an equation to represent the relationship.

Inessa [10]

Answer:

The equation is $y=\frac{2}{5} x$ .

Step-by-step explanation:

Let $y$ represent the number of laps Jay run, and $x$ the number of minutes it takes him to run those laps.

We know that it it takes Jay 25 minutes to run 10 laps; therefore, the number of laps jay runs per minute is:

$\frac{10\:laps}{25\:minutes} =\frac{2}{5}\:laps/min$

So, if Jay runs for $x$ minutes, the number of laps $y$ he will run be:

$\boxed{y=\frac{2}{5}x}$

3 0

3 years ago