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QveST [7]
3 years ago
15

Evaluate the function f(x) = 5x-3

Mathematics
1 answer:
loris [4]3 years ago
4 0

Answer:

x = 3/5 = 0.600

Step-by-step explanation:

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Order the distances from least to greatest:
Luba_88 [7]

Step-by-step explanation:

5.5

23/4 =5.75

sqrt 28 =5.29

5 1/2 = 5.5

so from least to greatest will be :

sqrt 28 - 5.5 and 5 1/2 then 23/4

7 0
3 years ago
Which of the following integrals represents the area of the region bounded by x = e and the functions f(x) = ln(x) and g(x) = lo
Neko [114]

Notice that

\log_{1/e}x=\dfrac{\ln x}{\ln\frac1e}=\dfrac{\ln x}{-\ln e}=-\ln x

f(x)=\ln x and g(x)=-\ln x intersect when x=1. For all x>1, we have \ln x>0 and -\ln x, so f(x)>g(x). Then the area we want is given by the integral,

\displaystyle\int_1^e\ln x-(-\ln x)\,\mathrm dx=2\int_1^e\ln x\,\mathrm dx

or in terms of \log_{1/e}x,

\displaystyle\int_1^e\ln x-\log_{1/e}x\,\mathrm dx

5 0
3 years ago
The distribution of the test statistic for analysis of variance is the F-distribution. true or false
lubasha [3.4K]

Answer:

True. See explanation below

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 k groups and on each group from j=1,\dots,k we have k 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}  

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

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

8 0
4 years ago
A restaurant has a sign by the front that says “Maximum occupancy : 75 people”.
r-ruslan [8.4K]

What percentage of its capacity is 9 people?

<em>                              12%</em>

What percentage of its capacity is 51 people?

                          <em> 68 %</em>

What percentage of its capacity is 84 people?                

                         <em>112%</em>

3 0
4 years ago
Read 2 more answers
You want to put some money in a simple interest account. It pays 6% interest annually for 2 years. You would like to earn $750 i
stira [4]
<span>Alex wants to borrow $1,000. The local bank says "10% Interest". So to borrow the $1,000 for 1 year will cost:$1,000 × 10% = $100</span>

In this case the "Interest" is $100, and the "Interest Rate" is 10% (but people often say "10% Interest" without saying "Rate")

Of course, Alex will have to pay back the original $1,000 after one year, so this is what happens:

Alex Borrows $1,000, but has to pay back $1,100<span>This is the idea of Interest ... paying for the use of the money</span>
6 0
4 years ago
Read 2 more answers
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