How to do it and how to work it out and stuff

The ratio of the lengths of corresponding parts in two similar solids is 5:1,

vlabodo [156]

The ratio of the surface areas of two similar solids can be computed by squaring the given ratio of the corresponding sides. For this given,
r = (5:1)^1
r = 25:1

Thus, the ratio of the surface areas of the similar solids is 25:1.

7 0

2 years ago

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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

Jerry is filling a water tank which initially consists of 75 gallons of water. As the water is being pumped in, the water in the

labwork [276]

Answer:

The maximum amount of time is 48.2 minutes

Step-by-step explanation:

We can use the equation for a line

y = mx+b

the inital value is 75 gallons ( that is b)

the slope is 2.5 gallons (that is m)

We know that we want to fill it to 195.5 gallons ( that would be y)

195.5 = 2.5x +75

We are going to solve for x (that is the number of minutes)

Subtract 75 from each side

195.5-75 = 2.5x +75-75

120.5 = 2.5x

Divide by 2.5 on each side

120.5/2.5 = 2.5x/2.5

48.2 =x

The maximum amount of time is 48.2 minutes

7 0

2 years ago

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You want to make five-letter codes that use the letters A, F, E, R, and M without repeating any letter. What is the probability

Feliz [49]

Answer:

The probability that a randomly chosen code starts with M and ends with E is 0.05 ....

Step-by-step explanation:

According to the given statement we have to make five letter code from A, F, E, R, and M without repeating any letter. We have to find that what is probability that a randomly chosen code starts with M and ends with E.

Thus the probability of picking the first letter M = 1/5

After that we require the sequence (not E, not E, not E) which is equal to:

= 3/4 * 2/3* *1/2

= 1/4

Now multiply 1/5 and 1/4

1/5 * 1/4

= 1/20

= 0.05

Therefore the probability that a randomly chosen code starts with M and ends with E is 0.05 ....

4 0

2 years ago

Find the perimeter of $\triangle CDE$ . Round your answer to the nearest hundredth. A trapezoid A B C D is plotted on a coordina

guapka [62]

Answer:

The answer is below

Step-by-step explanation:

We are asked to find the perimeter of triangle CDE. The perimeter of a shape is simply the sum of all its sides, hence:

Perimeter of tiangle CDE = |CD| + |DE| + |CE|

Given that C(4, -1), D(4, -5), E(2, -3).

The distance between two points $X(x_1,y_1)\ and\ Y(x_2,y_2)$ is given as:

$|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Therefore the lengths of the triangle are:

$|CD|=\sqrt{(4-4)^2+(-5-(-1))^2} =4\ units\\\\|DE|=\sqrt{(2-4)^2+(-3-(-5))^2} =2.83\ units\\\\|CE|=\sqrt{(2-4)^2+(-3-(-1))^2} =2.83\ units$

Perimeter of CDE = 4 + 2.83 + 2.83 = 9.66 units

8 0

1 year ago