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3 years ago

describe the steps you would follow to write a two step equation you can use to solve a real world problem

1 answer:

7 0

Pretend the equation was 2x - 4 > 8
The first step (of the two) would be to add 4 to the (-4) and to the other side of the equation (+4) to the 8, first. (You wouldn't use the number with variable in the first step) Then you would rewrite the equation: 2x > 12 (it's now 12 because you added the 4 to the 8). The second step is to divide 2x by 2x and do the same with 12. By dividing both sides with the coefficient, will help find "x". 12/2 is 6, therefore x > 6. (the last step would be to graph the expression if needed to)

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The manager of the Danvers-Hilton Resort Hotel stated that the mean guest bill for a weekendis $600 or less. Amember of the hote

alexdok [17]

Answer:

$H_{0}: \mu \leq 600\text{ dollars}\\H_A: \mu > 600\text{ dollars}$

Step-by-step explanation:

We are given the following in the question:

Manager's claim: The mean guest bill for a weekend is $600 or less.

A member of the hotel’s accounting staff noticed that the total charges for guest bills have been increasing in recent months.

A sample of weekend guest bills were collected to test the manager’s claim.

We design the null and alternate hypothesis in the following manner:

$H_{0}: \mu \leq 600\text{ dollars}\\H_A: \mu > 600\text{ dollars}$

Conclusion when null hypothesis cannot be rejected:

When we fail to reject the null hypothesis and accept the null hypothesis, thus, we have enough evidence to support the manager's claim that the mean guest bill for a weekend is $600 or less.

Conclusion when null hypothesis can be rejected:

When the null hypothesis is rejected, we accept the alternate hypothesis.

Thus, there are not sufficient evidence to support the manager's claim that the mean guest bill for a weekend is $600 or less.

5 0

3 years ago

A zoologist is studying four very closely related feline species. She wishes to compare their gestation periods. An observationa

diamong [38]

Answer:

$p_v= 0.01$

Since the significance level is 0.05 we see that $pv$ so we have enough evidence to reject the null hypothesis. And the best conclusion for this case would be:

b. at least some, but not all, of the gestation periods across all four species are the same

Because is only to identify if AT LEAST one mean is different, NOT to conclude that the all the means are different.

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

Solution to the problem

The hypothesis for this case are:

Null hypothesis: $\mu_{A}=\mu_{B}=\mu_{C}= \mu_D$

Alternative hypothesis: Not all the means are equal $\mu_{i}\neq \mu_{j}, i,j=A,B,C,D$

In order to find the mean square between treatments (MSTR), we need to find first the sum of squares and the degrees of freedom.

If we assume that we have $p=4$ groups and on each group from $j=1,\dots,p$ we have $n_j$ individuals on each group we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2$

$SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2$

$SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2$

And we have this property

$SST=SS_{between}+SS_{within}$

And in order to test this hypothesis we need to ue an F statistic and for this case the p value calculated is

$p_v= 0.01$

Since the significance level is 0.05 we see that $pv$ so we have enough evidence to reject the null hypothesis. And the best conclusion for this case would be:

b. at least some, but not all, of the gestation periods across all four species are the same

Because is only to identify if AT LEAST one mean is different NOT to conclude that the all the means are different.

8 0

3 years ago

What is the volume of a right circular cone that has a height of 14.9 cm and a base with the circumference of 2.9 cm rounded to

xxMikexx [17]

Answer:

The answer to your question is Volume = 3.30 cm³

Step-by-step explanation:

Data

Volume = ?

height = 14.9 cm

circumference = 2.9 cm

Process

1.- Calculate the radius

circumference = 2πr

-Substitution

2.9 = 2πr

-Solve for r

r = 2.9/2π

r = 1.45/π cm

2) Calculate the volume of the cone

Volume = 1/3πr²h

-Substitution

Volume = 1/3π(1.45/π)²(14.9)

-Simplify

Volume = (1.04)(0.213)(14.9)

Volume = 3.30 cm³

5 0

3 years ago

Solve each equation. Showing your reasoning. X^2-6x-20=7

scoundrel [369]

Answer:

x=-3,x=9

Step-by-step explanation:

x^2-6x-20-7=0

x^2-6x-27=0

x^2-(9-3)x-27=0

x^2-9x+3x-27=0

x(x-9)+3(x-9)=0

(x+3)(x-9)=0

x=-3,x=9

4 0

3 years ago

In a class of 30 students, 6 have a brother and 12 have a sister. There are 14 students who do not have any siblings. What is th

NeTakaya

Answer:

32 siblings from the class theres a possibility that some students had more siblings and not everyone has one

Step-by-step explanation:

6 0

3 years ago