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n200080 [17]
2 years ago
7

The area of the triangle below is 6.12 square feet. What is the length of the base?

Mathematics
1 answer:
Amanda [17]2 years ago
4 0

Answer: 3.6

Step-by-step explanation:

½bh = 6.12

½ × 3.4 × b = 6.12

b = 6.12/ 1.7

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Choose the polynomial written in standard form.(check image)
Stella [2.4K]

Answer: x⁴y² + 4x³y + 10x²

This is in standard form because the terms are ordered from the highest degree to the lowest and the individual variables' powers are also decreasing from the left to right.

Step-by-step explanation:

4 0
2 years ago
In a one-way ANOVA, what is the difference between the among-groups variance MSA and the within-groups variance MSW?
LuckyWell [14K]

Answer:

MSR=MSA=\frac{SSR}{k-1}

And MSE=MSW=\frac{SSE}{N-k}

The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .

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 j groups and on each group from j=1,\dots,j 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=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}=6750+8000=14750  

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

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

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

We can find the MSR=MSA=\frac{SSR}{k-1}

And MSE=MSW=\frac{SSE}{N-k}

The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .

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

8 0
3 years ago
You are carpeting a boardroom which measures 16 feet by 14.5 feet
trapecia [35]

Answer:

If you are finding the Area in which you would need for the carpet would be A= 232 ft

Step-by-step explanation:

A = lw

l = 16

w = 14.5

16 x 14.5 = 232 feet

5 0
3 years ago
I need help with this I don't understand this
Mandarinka [93]

Answer:

45.8

Step-by-step explanation:

We need to find the surface area for this entire figure!

We can see that this is a pyramid here - we must find the area of the 3 triangles and the base triangle at the bottom.

The 3 triangles building up the pyramid are all equal to each other.

To find the area of a triangle, use  Area = base*height/2

Area=3(\frac{5*7}{3} )+(\frac{5*4.3}{2})\\Area=35+10.75=45.75

Round to the nearest tenth: 45.75 -> 45.8

4 0
3 years ago
A new law requires that 5% of an individual's income to be invested in the stock market. Your accounts show that you need to put
Kaylis [27]

Divide the amount you need to invest by the percentage.

430/0.05 = 8,600

You earned $8,600

4 0
3 years ago
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