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zubka84 [21]
3 years ago
9

A rectangular shaped playground has length of 100m and width 80m. A pathway is constructed around the garden with a uniform widt

h of 1m. Find the area of the pathway. (Draw the diagram and show the work.)
Please help me!!!!!!!!

Mathematics
1 answer:
IrinaVladis [17]3 years ago
8 0
See  the diagram in the attached figure

we know that the area of rectangular shaped playground is--> 80*100=8000 m²

the area of the pathway=[(100+2)*(80+2)]-[80*100]=8364-8000=364 m²

the answer is 364 m²

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Please answer this question based on the following data. SSTR = 6,750 H0: μ1= μ2=μ3=μ4 SSE = 8,000 Ha: at least one mean is diff
Nookie1986 [14]

Answer:

P_v =P(F_{3,16}>4.5)=0.0180

So on this case the best option for the answer would be:

between .01 and .025

Step-by-step explanation:

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 4 groups and on each group from j=1,\dots,5 we have 5 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 =6750  

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2 =8000  

And we have this property  

SST=SS_{between}+SS_{within}=6750+8000=14750  

The degrees of freedom for the numerator on this case is given by df_{num}=k-1=4-1=3 where k =4 represent the number of groups.

The degrees of freedom for the denominator on this case is given by df_{den}=df_{between}=N-K=20-4=16.

And the total degrees of freedom would be df=N-1=20 -1 =19

We can find the MSR=\frac{6750}{3}=2250

And MSE=\frac{8000}{16}=500

And the we can find the F statistic F=\frac{MSR}{MSE}=\frac{2250}{500}=4.5

And with that we can find the p value. On this case the correct answer would be 3 for the numerator and 16 for the denominator.  

P_v =P(F_{3,16}>4.5)=0.0180

So on this case the best option for the answer would be:

between .01 and .025

6 0
4 years ago
<img src="https://tex.z-dn.net/?f=%20%7B5y%20%7D%5E%7B2%7D%20%20%2B%203xy%20-%202x%20%5C%3A%20when%20%5C%3A%20x%20%3D%204%20%5C%
Karolina [17]

Put the values of x = 4 and y = -2 to the expression 5y² + 3xy - 2x.

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right).


5(-2)^2+3(4)(-2)-2(4)=5(4)-24-8=20-24-8=-12

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4 years ago
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soldi70 [24.7K]
The answer is 15 because to the the lenght of the missing number you have to use the Pythagorean Theorem.So first you have to use c^2=a^2 +b^2.
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Missing numerator of x over 4 times 8 equals 2
Crazy boy [7]

Answer:

Step-by-step explanation:

If the equation of the of the hyperbola is , then the eccentricity,  and the directrices are  and the foci are (± ae,0).

Now, given that ae = 4 and  ......... (1)

So,

⇒ a² = 8

⇒ a = 2√2 units.

Now, from equation (1) we get, ae = 4

⇒ e = √2 as a = 2√2

Now,

⇒

⇒ b² = 8

Hence, the equation of the hyperbola is

Read more on Brainly.com - brainly.com/question/14434001#readmore

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