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Drupady [299]
3 years ago
6

A jar contains nickels and dimes. There are 20 coins in the jar, and the total value of

Mathematics
1 answer:
weeeeeb [17]3 years ago
3 0

Answer:

Step-by-step explanation:

n and d are the number of nickels and dimes, respectively.

"there are 20 coins"

n+d = 20

d = 20-n

"total value is $1.40"

0.05n + 0.10d = 1.40

0.05n + 0.10(20-n) = 1.40

-0.05n + 2 = 1.40

0.05n = 0.6

n = 12

d = 20-m = 8

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Find the residual values, and use the graphing calculator tool to make a residual plot. A 4-column table with 5 rows. The first
Svetlanka [38]

The best answer from the options that proves that the residual plot shows that the line of best fit is appropriate for the data is: ( Statement 1 ) Yes, because the points have no clear pattern

X         Given     Predicted     Residual value

1            3.5           4.06             -0.56

2           2.3           2.09             0.21

3            1.1            0.12               0.98

4           2.2           -1.85              4.05

5          -4.1            -3.82            -0.28

The residual value is calculated as follows using this formula: ( Given - predicted )

1) ( 3.5 - 4.06 ) = -0.56

2) ( 2.3 - 2.09 ) = 0.21

3) ( 1.1 - 0.12 ) = 0.98

4) (2.2 - (-1.85) = 4.05

5) ( -4.1 - (-3.82) = -0.28

Residual values are the difference between the given values and the predicted values in a given data set and the residual plot is used to represent these values .

attached below is the residual plot of the data set

hence we can conclude from the residual plot attached below that the line of best fit is appropriate for the data because the points have no clear pattern ( i.e. scattered )

learn more about residual plots : brainly.com/question/16821224

5 0
2 years ago
Which expressions are equivalent to 1.08^4t?
artcher [175]

Answer:

Therefore,

The Equivalent expression is option A,

(1.08^{4})^{t}

Step-by-step explanation:

Given:

Expressions  is

1.08^{4t}

To Find:

Equivalent expression ?

Solution:

We have Law of indices

(a^{x})^{y}=a^{x\times y}\\(a^{\frac {x}{y}})^{z}=a^{\frac{x\times z}{y}

For option A

(1.08^t)^4

(1.08^{4})^{t}=1.08^{4t}

Hence option A is the Equivalent expression.

For option B

1.08^8t/1.08^2t

(1.08^{\frac{8t}{1.08}})^{2t}=1.08^{\frac{16t^{2}}{1.08}}=1.08^{14.81t^{2}}

Which is not the Equivalent expression.

For option C

1.08^4*1.08^t

(1.08^{4\times 1.08})^{t}=1.08^{4.32t}

Which is not the Equivalent expression.

For option D

1.08^6t/1.08^2t

(1.08^{\frac{6t}{1.08}})^{2t}=1.08^{11.11t^{2}}

Which is not the Equivalent expression.

Therefore,

The Equivalent expression is option A,

(1.08^{4})^{t}

6 0
3 years ago
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