An AP ® Statistics student designs an experiment to see whether today’s high school students are becoming too calculator-dependent. She prepares two quizzes, both of which contain 40 questions that are best done using paper-and-pencil methods. A random sample of 30 students participates in the experiment. Each student takes both quizzes—one with a calculator and one without—in a random order. To analyze the data, the student constructs a scatterplot that displays a linear association between the number of correct answers with and without a calculator for the 30 students. A least-squares regression yields the equation ˆ=−1.2+0.865() =0.79 Which of the following statements is/are true?

Answer:

y=|x+3|+4

Step-by-step explanation:

3 units left is + 3

4 units up is + 4

The graph of function y = |x+3|+4 is translated as 3 units to the left and 4 units upward.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

To determine the function whose graph is the graph of y=|x| ​,

Translated is 3 units to the left and 4 units upward.

x+3 because adding 3 to the x coordinate would shift it over 3

y-4 because subtracting  4 to the y coordinate would shift it up 4

⇒ f(x) = ( x + 3, y - 4 )

⇒ y - 4 = |x+3|

⇒ y = |x+3| + 4

Therefore, the graph of function y = |x+3|+4 is translated as 3 units to the left and 4 units upward.

Learn more about the graphs here:

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Answer:

27600

Step-by-step explanation:

Answer:

It should be 27600 but i don't know for sure because I don't know where the decimal's at

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because its the most reasonable answer

Answer:

wya

Step-by-step explanation:

Step-by-step explanation:

9x - 2 = 5x + 54 because these angles are corresponding

9x - 5x = 54 + 2 add/subtract like terms

4x = 56 and this divided by 4

x = 14

9x - 2 + 10y + 6 = 180° because these two angles makes a straight line

9×14 - 2 + 10y + 6 = 180°

126 - 2 + 10y + 6 = 180° add like terms

130 + 10y = 180° subtract 130 from both sides

10y = 50 divide by 10

y = 10

Answer:

Step-by-step explanation:

Select all of the object sets that could be modelled by perpendicular lines.

A perpendicular line is one that divides a 180 degrees line (or a straight line) into two; creating 90 degrees on one hand and 90 degrees on the other.

OPTIONS:

(A) APPLICABLE

Two roads that meet at an intersection can be modelled by perpendicular lines. Use the definition above as a yardstick.

(B) APPLICABLE

The top of the desk to the floor will represent the dividing line while the floor itself will be the 180° line.

(C) NOT APPLICABLE

A tree and its shadow on the ground will only form a right-angled triangle

(D) NOT APPLICABLE

Two stars seen in the sky cannot be modelled by perpendicular lines. They can only be modelled by a straight line; a line which extends from the first star to the other.  

Answer:

Can you format this a little better?

Answer:

you will add $1.53 to every bracelet you make

Step-by-step explanation:

figure out what 85 percent of 1.80 is and then add that to 1.80 for the total price

85% x 1.8 = 1.53 (markup ammount)

1.80 + 1.53 = 3.33 (total cost)

Answer: $50, The account will have $50 in interest after 2 years.

Step-by-step explanation:

2.5% / 100 = 0.025

$1,000 * .025 = 25

25 * 2 = 50

Answer:

i think its a

Step-by-step explanation:

Answer:

a

or d

Step-by-step explanation:

Answer:

11.66

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Use the Exemption amounts in Figure 2.2 on page 132 to find the (a) amount for exemptions and (b) annual state income taxes.

The exemptions are shown in the image below.

a) We can see that the exemptions for a married person is $4000 and $2000 per dependent. Since there are 2 dependents therefore:

Amount for exemptions = $4000 + (2 dependents × $2000 per dependent)

Amount for exemptions = $4000 + $4000 = $8000

Amount for exemptions = $8000

b) Taxable wages = Annual gross pay - Exemptions

Taxable wages = $63840 - $8000 = $55840

Annual state income taxes = Taxable wages × State tax rate

Annual state income taxes = $55840 × 4% = $2233.6

Answer:

0

Step-by-step explanation:

cause 2+2 is 4 and 2x2 is four and since u put - it take it away a then divide 0 by 2 u get 0

Answer:

904

Step-by-step explanation:

8 x 113 = 904

Its the second because i did this already

9514 1404 393

Answer:

  f'(2) ≈ −1.3508

Step-by-step explanation:

The derivative of the function is ...

  f'(x) = 5(-e^-x·ln(x^2 +5x) +e^-x·(2x +5)/(x^2 +5x))

Then ...

  f'(2) = 5e^(-2)(-ln(14) +9/14) ≈ -1.3508

Answer:

0.625

Step-by-step explanation:

15 divided by 24 which equals 0.625

Answer: a coordinate plane is used in order to track the location of the object.

Translations are congruence transformations that move an object, without changing its size or shape

Dilations are transformations that generate an enlargement

Step-by-step explanation:

Answer:

[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2}) = \frac{1}{1+cosx}[/tex]

Step-by-step explanation:

Given

[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2})[/tex]

Required

Simplify

[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2})[/tex]

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Considering the denominator of the first bracket

[tex]1 - cos^2x[/tex]

This can be rewritten using different of two squares as follows:

[tex](1 - cosx)(1 + cosx)[/tex]

So, [tex]1 - cos^2x[/tex] can be replaced with [tex](1 - cosx)(1 + cosx)[/tex] in the given expression.

Also, from trigonometry identity

[tex]tan\frac{x}{2} = \frac{1 - cos x}{sin x}[/tex]

So, [tex]tan\frac{x}{2}[/tex] can be replaced with [tex]\frac{1 - cos x}{sin x}[/tex] in the given expression

---------------------------------------------------------------------------------------------------

[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2})[/tex] becomes

[tex](\frac{sinx}{(1-cosx)(1+cosx)}) * \frac{1 - cos x}{sin x}[/tex]

[tex](\frac{sinx * (1 - cos x)}{(1-cosx)(1+cosx) * sin x})[/tex]

Cancel out similar expressions

[tex]\frac{1}{1+cosx}[/tex]

The expression cannot be further simplified.

Hence:

[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2}) = \frac{1}{1+cosx}[/tex]

The simplified form of the expression :

[tex]\frac{sinx}{1-cos^{2} x} .tan\frac{x}{2} =\frac{1}{1+cosx}[/tex]

We have some trigonometric formula as:

[tex]sin2x=2sinx= cosx\\2cos^{2} x=1+cos2x[/tex]

We have the expression

[tex]\frac{sinx}{1-cos^{2} x} .tan\frac{x}{2} \\=\frac{sinx}{sin^{2} x} .tan\frac{x}{2} \\=\frac{1}{sin x} .tan\frac{x}{2}\\=\frac{1}{2sin \frac{x}{2} cos\frac{x}{2}} .tan\frac{x}{2}\\=\frac{1}{2sin \frac{x}{2} cos\frac{x}{2}} .\frac{sin\frac{x}{2}}{cos\frac{x}{2}} \\=\frac{1}{2cos^{2} \frac{x}{2}}\\=\frac{1}{1+cos{x} }[/tex]

Therefore, the simplified form of the expression is:

[tex]\frac{sinx}{1-cos^{2} x} .tan\frac{x}{2} =\frac{1}{1+cosx}[/tex]

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Answer:

1. Vertex-M sides- LM MN

2. Vertex-D sides- ED CD

3. Vertex-R sides- SR RQ

4. Vertex-T sides- ST TU

5. angle 3 angle D angle CDE

6. angle 4 angle F angle GFE

7. angle 1 angle F angle GFE

8. angle 3 angle I angle HIJ

Answer:

3

Step-by-step explanation:

= 2/3 x 9/2

= 9/3

= 3

Answer: 348 girls so somewhere around 80 percent

Step-by-step explanation:

Answer:

Step-by-step explanation:

Any number divided by itself is 1. In the expression-1 times -10 over -1 times -60 ,the -1s in the numerator and the denominator cancel each other out to give the result , or 6.

Answer:

Any number divided by itself is 1. In the expression-1 times -10 over -1 times -60 ,the -1s in the numerator and the denominator cancel each other out to give the result , or 6.

Step-by-step explanation:

Answer:

Step-by-step explanation:

3p + 2p - p

= 3p + p

= 4p

(add the co-efficients)

Answer:

I couldn't fit it all in one photo but here you go!