All categories

3 years ago

Which equation is the inverse of y = x^2– 36?

Mathematics

1 answer:

Ierofanga [76]3 years ago

5 0

Answer:

y inverse = √(x + 36)

Step-by-step explanation:

inverse of y = x² - 36

=> x² = y + 36

=> x = √(y + 36)

interchange x and y

=> y = √(x + 36)

You might be interested in

When driving a car with Anti-lock Brakes (ABS), if your brakes fail when you are trying to stop, you should

Alla [95]

Answer:

Step-by-step explanation:

Applying the parking brake quickly is dangerous ..

from permit test I remember pump your brake pedal hard and fast. shift lower gear, and slowly apply parking brake.

5 0

3 years ago

I NEED ANSWERS RIGHT NOW

Nady [450]

Answer:

The answer is D, $50.09

5 0

3 years ago

\text{Eight times the difference of 5 and a number.}

cestrela7 [59]

Answer:

i dont knoe

Step-by-step explanation:

3 0

4 years ago

a book store cost $80 a day to keep open, and it spends $15 for each book that it sells. if each book sells for $23, what is the

aalyn [17]

The break even point for this book store is 10

Solution:

Given that, book store cost $80 a day to keep open, and it spends $15 for each book that it sells

Cost to open the book store = $ 80

The formula for solving the break even point (BEP) is:

$BEP = \frac{\text{Fixed cost}}{\text{Selling price - variable cost}}$

Fixed Cost is the cost that remains constant whether the services provided or products sold increases or decreases

Variable Cost is the cost that varies or differs in proportion to the products or services produced, whether they increased or decreased

In this problem,

Fixed cost = $ 80

Selling price = $ 23

Variable cost = $ 15

Therefore,

$BEP = \frac{80}{23-15}\\\\BEP = \frac{80}{8}\\\\BEP = 10$

Thus break even point for this book store is 10

In order for the bookstore to continue its business, it should sell at least 10 books to meet its $80 cost

6 0

4 years ago

Read 2 more answers

For the hypothesis test H0: μ = 10 against H1: μ >10 and variance known, calculate the Pvalue for each of the following test

Basile [38]

Answer:

a) $p_v =P(Z>2.05)=1-P(z$

b) $p_v =P(Z>-1.84)=1-P(z$

c) $p_v =P(Z>0.4)=1-P(z$

Step-by-step explanation:

Some previous concepts

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

A z-test for one mean "is a hypothesis test that attempts to make a claim about the population mean(μ)".

The null hypothesis attempts "to show that no variation exists between variables or that a single variable is no different than its mean"

The alternative hypothesis "is the hypothesis used in hypothesis testing that is contrary to the null hypothesis"

Hypothesis

Null hypothesis: $\mu=10$

Alternative hypothesis: $\mu >10$

If the random variable is distributed like this: $X \sim N(\mu,\sigma)$

We assume that the variance is known so the correct test to apply here is the z test to compare means, the statistic is given by the following formula:

$z_o=\frac{\bar X -\mu}{\sigma}$

Since we have the values for the statistic already calculated we can calculate the p value using the following formulas:

Part a

$p_v =P(Z>2.05)=1-P(z$

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(2.05,0,1,TRUE)"

Part b

$p_v =P(Z>-1.84)=1-P(z$

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(-1.84,0,1,TRUE)"

Part c

$p_v =P(Z>0.4)=1-P(z$

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(0.4,0,1,TRUE)"

Conclusions

If we use a reference value for the significance, let's say $\alpha=0.05$ . For part a the $p_v$ so then we can reject the null hypothesis at this significance level.

For part b the $p_v>\alpha$ so then we FAIL to reject the null hypothesis at this significance level.

For part c the $p_v>\alpha$ so again we FAIL to reject the null hypothesis at this significance level.

3 0

3 years ago