Give the next two terms in the following sequence: -18, -17, -9, 18, 82

You are facing North. Turn 90 degrees left. Turn 180 degrees right. Turn around to reverse your direction. Turn 45 degrees left.

andriy [413]

North
You are facing north. 90 degrees left is west. 180 degrees is now east. Reversing your direction is the same as 180 so your now back to facing west. Turn 45 left you’re now facing south. Reverse again and you’re facing north.

5 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

Mario is setting up a new tent during a camping trip. The tent came with 7 feet of rope. The instructions are to use 34.5 inches

nevsk [136]

Answer: There are 6 sections of $8\frac{1}{4}\ inches$ of rope Mario can cut from the rope .

Step-by-step explanation:

Since we have given that

Length of the rope for the tent = 7 feet

As we know that

$1\ feet=12\ inches\\\\7\ feet=12\times 7=84\ inches$

Length of rope is used to tie a tarp on top of the tent = 34.5 inches

Remaining length of rope is given by

$84-34.5=49.5\ inches$

According to question, the remaining rope should be cut into

$8\frac{1}{4}\ inches\\\\=\frac{33}{4}\ inches$

So, Number of $8\frac{1}{4}\ inches$ sections of rope Mario can cut from the rope is given by

$\frac{49.5}{8\frac{1}{4}}\\\\=\frac{49.5}{\frac{33}{4}}\\\\=\frac{49.5\times 4}{33}\\\\=6$

Hence, there are 6 sections of $8\frac{1}{4}\ inches$ rope Mario can cut from the rope .

5 0

1 year ago

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Tobias gold sells computers at the office Center he's guaranteed a minimum salary of $1,959 per month plus 6.3% commission on to

ICE Princess25 [194]

Answer:2269.95

Step-by-step explanation:

You would take 1,959 and divide it by 6.3. The answer of that will be added to 1,959. And that's how I got the answer good luck! And I hope that this helps.

Also quick note 2269.95 is how much is made in a month! :)

6 0

1 year ago

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Evaluate the profit function at each vertex. P = 0.04x + 0.05y + 0.06(16 – x – y) (8, 1) P = (14, 1) P = (3, 6) P = (5, 10) P =

VARVARA [1.3K]

The given function is:
P = 0.04x + 0.05y + 0.06(16-x-y)

To get the function at each vertex, all you have to do is substitute with the given x and y values in the above equation and get the corresponding value of P as follows:
1- For (8,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(8) + 0.05(1) + 0.06(16-8-1)
P = 0.79

2- For (14,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(14) + 0.05(1) + 0.06(16-14-1)
P = 0.67

3- For (3,6):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(3) + 0.05(6) + 0.06(16-3-6)
P = 0.84

4- For (5,10):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(5) + 0.05(10) + 0.06(16-5-10)
P = 0.76

Hope this helps :)

3 0

2 years ago

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