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suter [353]
2 years ago
15

Lelia says that 75% of a number will always be greater than 50% of a number. Complete the inequality to support Lelia's claim an

d one to show that she is incorrect.
Mathematics
1 answer:
worty [1.4K]2 years ago
3 0

Answer:

Let 'x' and 'y' be two different numbers.

Leila says that 75% of a number will always be greater than 50% of a number. The inequality that represents this statement is the following:

0.75x > 0.5y

Let x = 100 and y=200. We have that:

0.75(100) > 0.5(200)

75 > 100 ❌ INCORRECT ❌

Given that we found a case in which 75% of a number is not greater than 50% of a number, we can conclude that Leila's claim is incorrect.

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In a completely randomized experimental design involving three assembly methods, 30 employees were randomly selected and 10 were
AnnZ [28]

Answer:

F = \frac{MSR}{MSE} =\frac{45.89}{6.27}=7.32

So then the best option is:

a. 7.32

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"  

If we assume that we have 3 groups and on each group from j=1,\dots,10 we have 10 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=Treatment}=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}

Where SST represent the total sum of squares.  

The degrees of freedom for the numerator on this case is given by df_{num}=k-1=3-1=2 where k =3 represent the number of groups.  

The degrees of freedom for the denominator on this case is given by df_{den}=df_{between}=N-K=30-3=27.  

And the total degrees of freedom would be df=N-1=30 -1 =29  

From the info given we know that MSR=\frac{SSR}{2}=45.89

And MSE=\frac{SSE}{27}=6.27

From definition the F statisitc is defined as:

F = \frac{MSR}{MSE} =\frac{45.89}{6.27}=7.32

So then the best option is:

a. 7.32

3 0
2 years ago
(HELP!!!) Gustavo invests £520 for 6 years in a bank account paying simple interest. At the end of 6 years, the amount in the ba
romanna [79]
629.20/520=1.21
Powerof6V1.21= 1.0323
Rate of interest 3.23
7 0
2 years ago
The volume, in cubic feet, of a right cylindrical silo of height h and radius r is V = πr2h. The height of the silo is h(r) = 3.
Reptile [31]

Answer:

The domain of V(h(r)) is restricted to values of r greater than 0

V(h(r)) = 3.5πr^3

The volume depends on the radius of the cylinder

Step-by-step explanation:

Edgenuity

3 0
2 years ago
Read 2 more answers
Lines a and b are cut by transversal f. At the intersection of lines f and a, the top left angle is 96 degrees. At the intersect
Free_Kalibri [48]

Answer:

C. 22

Step-by-step explanation:

Inverse Alternate Interior Angles Theorem sttes that if two lines a and b are cut by transversal f so that the alternate interior angles are congruent, then a║b.

To prove that lines a and b are parallel, equate the measures of angles 96° and (6x-36)°:

6x-36=96\\ \\6x=96+36\\ \\6x=132\\ \\x=22

6 0
2 years ago
Read 2 more answers
Justin is working two summer jobs, making $8 per hour babysitting and $14 per hour lifeguarding. Last week Justin earned a total
alexdok [17]

Answer:

Justin worked as a babysitter  8 hours and worked as a lifeguard 2 hours last week

Step-by-step explanation:

Let

x ----> number of hours worked as a babysitter  last week

y ----> number of hours worked as a lifeguard last week

we know that

8x+14y=92 ----> equation A

x=4y ----> equation B

Solve the system by substitution

Substitute equation B in equation A

8(4y)+14y=92

solve for y

32y+14y=92

46y=92

y=2

Find the value of x

x=4(2)=8

therefore

Justin worked as a babysitter  8 hours and worked as a lifeguard 2 hours last week

6 0
2 years ago
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