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2 years ago

Consider the table showing the given, predicted, and residual values for a data set.

Mathematics

2 answers:

Juliette [100K]2 years ago

6 0

Answer:

(4, - 0.6)

Explanation:

The table is:

x Given Predicted Residual value

1 -1.6 -1.2 0.4

2 2.2 1.5 0.7

3 4.5 4.7 -0.2

4 6.1 6.7 -0.6

The points on the residual plot must be the pairs (x, residual value). This is:

(1, 0.4)
(2, 0.7)
(3, -0.2)
(4, -0.6)

Thus, the correct choice is the last one: (4, -0.6)

DIA [1.3K]2 years ago

3 0

Answer:

(4,-0.6)

Step-by-step explanation:

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ΔABC underwent a sequence of rigid transformations to give ΔA′B′C′. Which transformations might have taken place?

Papessa [141]

Answer: The correct option is second, a rotation $90^{\circ}$ clockwise about the origin followed by a reflection across the x-axis.

Explanation:

From the given figure it is noticed that the vertices of ΔABC are A(-6,4), B(-4,6), C(-2,2) and vertices of ΔA'B'C' are A'(4,-6), B(6,-4), C(2,-2).

It means if the point is P(x,y) then after transformation it will be P'(y,x).

If a point P(x,y) reflection across the y-axis followed by a reflection across the x-axis, then the image of point after transformation will be P'(-x,-y), therefore it is not the correct option.

If a shape is rotated $90^{\circ}$ clockwise about the origin then the point P(x,y) will be P'(y,-x) and after that reflect across the x-axis, so the point after transformation will be P'(y,x), therefore it is the correct option.

If a shape is rotated $270^{\circ}$ clockwise about the origin then the point P(x,y) will be P'(-y,x) and after that reflect across the x-axis, so the point after transformation will be P'(-y,-x), therefore it is not the correct option.

If a point P(x,y) reflection across the x-axis followed by a reflection across the y-axis, then the image of point after transformation will be P'(-x,-y), therefore it is not the correct option.

Hence, the correct option is second, a rotation $90^{\circ}$ clockwise about the origin followed by a reflection across the x-axis.

4 0

2 years ago

Read 2 more answers

A baker uses 13 1/2 cups of flour to make bread. She uses 2 1/4 cups of flour to make each loaf. The baker sells 2/3 of the loav

ollegr [7]

Answer:

She sells 4 loaves of bread

Step-by-step explanation:

Lets explain how to solve the problem

→ A baker uses $13\frac{1}{2}$ cups of flour to make bread

→ She uses $2\frac{1}{4}$ cups of flour to make each loaf

From these information we can find the number of loaves of bread

she can make

∵ There are $13\frac{1}{2}$ cups of flour

∵ Each loaf of bread needs $2\frac{1}{4}$ cups of flour

∴ The number of loaves = $13\frac{1}{2}$ ÷ $2\frac{1}{4}$

To divide two mixed numbers make them improper fractions and

change the division sign to multiplication sign and reciprocal the

fraction after the division sign

∵ $13\frac{1}{2}$ = $\frac{(13)(2)+1}{2}$

∴ $13\frac{1}{2}$ = $\frac{27}{2}$

∵ $2\frac{1}{4}$ = $\frac{(2)(4)+1}{4}$

∴ $2\frac{1}{4}$ = $\frac{9}{4}$

∴ The number of loaves = $\frac{27}{2}$ × $\frac{4}{9}$

∴ The number of loaves = 6

<em>She can make 6 loaves</em>

→ The baker sells $\frac{2}{3}$ of the loaves of bread that she makes

→ We need to find the number of loves of bread she sells

∵ She sells $\frac{2}{3}$ of the loaves

∵ There are 6 loves

∴ The number of loaves she sells = 6 × $\frac{2}{3}$ = 4

<em>She sells 4 loaves of bread</em>

7 0

2 years ago

Mr.Hollins determines that he gives away $800 each month. If he gives away 16% of his budget, how much is his overall budget?

oee [108]

$\frac{800}{x} = \frac{16\%}{100\%} \\ \frac{80000}{16} = \frac{16x}{16} \\ 5000 = x$

5 0

2 years ago

Michael has $1.95 totally in his collection, consisting of quarters and nickels. The number of nickels is three more than the nu

Triss [41]

1 nickel=$0.05
1 quarter=$0.25
let the number of quarters be x, the number of nickels will be 3+x
thus:
0.05(3+x)+0.25x=1.95
0.05x+0.15+0.25x=1.95
0.30x=1.8
x=6
thus the number of quarters is 6
the number of nickels=6+3=9

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2 years ago

One option in a roulette game is to bet $2 on red. (There are 18 red compartments, 18 black compartments, and two compartmen

aleksandrvk [35]

It cost $46.000 for the red.

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2 years ago