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2 years ago

What is the 12th term of the sequence

Mathematics

1 answer:

Sphinxa [80]2 years ago

7 0

Aₙ = 7n+4

n = 12 thus

a₁₂ = 7(12) + 4

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A health club charges a $130 yearly membership fee and $3 for each day a member uses the health facilities. If the member paid $

Blizzard [7]

This is the answer for your question: y=3x+130

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2 years ago

On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (

Sergeu [11.5K]

Answer:

B. At the corner of 10th Street and 17th Avenue.

Step-by-step explanation:

The point (x,y) which divides the segment AB with endpoints at $A(x_1,y_1)$ and $B(x_2,y_2)$ in ratio $m:n$ has coordinates

$x=\dfrac{nx_1+nx_2}{m+n}\\ \\y=\dfrac{ny_1+ny_2}{m+n}$

In your case,

$T(4,8)$

$L(12,20)$

The fruit market (F) is three-fourths the distance from Tia’s home to Lei's home, then $TM:TL=3:4$ or $TM:ML=3:1$

Thus,

$x=\dfrac{1\cdot 4+3\cdot 12}{3+1}=\dfrac{4+36}{4}=\dfrac{40}{4}=10\\ \\y=\dfrac{1\cdot 8+3\cdot 20}{3+1}=\dfrac{8+60}{4}=\dfrac{68}{4}=17$

So, the fruit market is at point $F(10,17)$ which ,=means it is placed at the corner of 10th Street and 17th Avenue.

9 0

2 years ago

Read 2 more answers

If a flower is 6.5 cm wide, its width expressed in millimeters is x mm, where x is

krek1111 [17]

X=65 mm hope this helps.

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2 years ago

rectangle abcd is similar to rectangle pqrs. given ab=14 cm, BC=8cm and pq=21cm, calculate the length of QR

weqwewe [10]

QR =12 because you set up a proportion 21/14=x/8 then cross multiply and get 14x=168 then you divide and get 12

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2 years ago

A researcher evaluates the significance of a multiple-regression equation and obtains an F-ratio with df = 2,24. How many partic

alisha [4.7K]

Answer:

N=27 participants

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"

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.

If we assume that we have $k$ independent variables and we have $j=1,\dots,j$ individuals, we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^n (y_j-\bar y)^2$

$SS_{regression}=SS_{model}=\sum_{j=1}^n (\hat y_{j}-\bar y)^2$

$SS_{error}=\sum_{j=1}^n (y_{j}-\hat y_j)^2$

And we have this property

$SST=SS_{regression}+SS_{error}$

The degrees of freedom for the model on this case is given by $df_{model}=df_{regression}=k=2$ where k =2 represent the number of variables.

The degrees of freedom for the error on this case is given by $df_{error}=N-k-1=24$ . Sinc we know k we can find N.

$N=24+k+1=24+2+1=27$

And the total degrees of freedom would be $df=N-1=27 -1 =26$

On this case the correct answer would be N=27 participants

6 0

2 years ago