A study of traffic violations on a busy highway finds that the number of tickets for speeding written by officers tends to decrease on rainy days. A police sergeant explains that driver behavior could be a confounding variable.

Which statement best explains the confounding variable in this study?

On sunny days, more tickets for speeding are written than on rainy days.
Officers are less likely to want to leave their police cars to write tickets on rainy days.
Drivers may drive more carefully on rainy days, so the number of speeding tickets decreases.
Drivers are more likely to speed on rainy days to get to their destination faster.

Answer:

see below

Step-by-step explanation:

There are several ways to name the angle

They all must include the vertex

ABC

CBA

B

Answer:

abc

Step-by-step explanation:

Answer:

3/7 is greater than 2/5

Step-by-step explanation:

If you convert the fractions into decimals:

3/7=0.42

2/5=0.4

0.42 is greater than 0.4

Answer:

there is no photo

Step-by-step explanation:

Answer:Just slide it to the left and 2 units down then plot the points Step-by-step explanation:

Answer:

Step-by-step explanation:

Slide it to the left and 2 units down

expand and simplify (2x + 1)(x + 3)

answer : [tex]2x^2+7x+3[/tex]

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explanation : expand the polynomial using the FOIL method.

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FOIL : a technique for distributing two binomials. the letters FOIL stand for first, outer, inner, last. first means multiply the terms which occur first in each binomial, outer means multiply the outermost terms in the product, inner means multiply the innermost terms, and last means multiply the terms which occur last in each binomial.

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step 1 : multiply each term in the first parentheses by each term in the second parentheses (FOIL)

ex : [tex]2x * x+2x * 3+x+3[/tex]

step 2 : calculate the product

ex: [tex]2x^2+2x * 3+x+3[/tex]

step 3 : calculate the product

ex: [tex]2x^2+6x+x+3[/tex]

step 4 : collect like terms

ex: [tex]2x^2+7x+3[/tex]

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solution : [tex]2x^2+7x+3[/tex]

hope this helps !

- audrey ♡

9514 1404 393

Answer:

  θ = 60°

Step-by-step explanation:

The angle is more than 45° and less than 90°. The only viable choice is ...

  θ = 60°

__

We can only read the x-coordinate of the point on the terminal ray. It is 1/2, which is the cosine of 60°. The angle must be 60°.

Answer:

56 dashes of cinnamon

Step-by-step explanation:

7 dashes of cinnamon = 1 pan of brownies

And we need to make 8 pans of brownies so...

7 dashes of cinnamon x 8 pans of brownies = 56 total dashes of cinnamon :)

Answer:

(1,-1)

Step-by-step explanation:

[tex] \large{ \begin{cases} y = 2x - 3 \\ y = - x \end{cases}}[/tex]

Since both are y-isolated equation. We can combine both.

[tex] \large{2x - 3 = - x}[/tex]

Since we want to solve for x-term, we need to isolate x-term.

So we move from -x which is the right side to x.

[tex] \large{2x - 3 + x = 0} \\ \large{3x - 3 = 0} \\ \large{3x = 3} \\ \large{x = 1}[/tex]

But we are not done yet. Solving system of equations, you must solve for y-term as well. (Because we have to answer in ordered pairs which are (x, y))

Substitute x = 1 in any given equations but I will substitute x = 1 in y = -x

[tex] \large{y = - x} \\ \large{y = - 1}[/tex]

Since we have got y-value. Therefore the answer is (1,-1)

Answer:

y=-32, 0, -16, -4, 16

Step-by-step explanation:

y=4(-6)-8= -32

y=4(2)-8 = 0

y=4(-2)-8 = -16

y=4(1) -8 = -4

y=4(6) -8= 16

For the given equation of the line, the complete table is attached below.

Use the concept of the equation of line defined as:

A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.

The given equation of a line is,

y = 4x - x

To complete the table:

Put x = -6 in this equation,

y =  (-4)(-6) - 8

y = 16

Put x = 2 in the equation,

y =  (-4)(2) - 8

y = -16

Put x = -2 in the equation,

y =  (-4)(-2) - 8

y = 0

Put x = 1 in the equation,

y =  (-4)(1) - 8

y = -12

Put x = 6 in the equation,

y =  (-4)(6) - 8

y = -32

The complete table is attached below.

To learn more about the equation of line visit:

brainly.com/question/18831322

#SPJ6

Answer:

120cm^3

Step-by-step explanation:

Answer:

Area of the figure = 25.7 units²

Step-by-step explanation:

Area of the given figure = Area of rectangle ABCD - Area of the semicircle with diameter CD

Area of the rectangle ABCD = Length × Width

                                               = BC × AB

                                               = 8 × 4

                                                = 32 units²

Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]

Here, r = radius of the semicircle

r = [tex]\frac{\text{Diameter}}{2}[/tex]

r = [tex]\frac{1}{2}(CD)[/tex]

r = [tex]\frac{4}{2}[/tex]

r = 2 units

Therefore, area of the semicircle = [tex]\frac{1}{2}\pi (2)^2[/tex]

                                                       = 2π

                                                       = 6.28 units²

Area of the given figure = 32 - 6.28

                                         = 25.72 units²

                                         ≈ 25.7 units²

Answer:

t- critical value =1.721

Step-by-step explanation:

Given

Sample size =n=22

Degree of freedom = sample size -1 = 22-1 =21

The significance level is 5%. This indicates that the test is right tailed.

The alpha value = 0.05

For given right tailed test, with value of alpha = 0.05 and degree of freedom = 21, the  t- critical value =1.721

Answer:  x = 6/4

Step-by-step explanation:  

4x + 2 = 8

4x = 6

x = 6/4 or 1 1/2

Hope this helped :)

Answer:

x = 1.5, 1 1/2

Step-by-step explanation:

4x + 2 = 8

4x = 6

4x/4 = 6/4

x = 1.5

1.5 = 1 1/2

Have a nice day! :-)

Answer:

2xˆ2-x-13=0

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

2x^2 - 13 = x

Subtract x from both sides:

2x^2 - x - 13 = 0 is the standard form.

Answer:

hope this will help you more

Answer:

(8,6)

Step-by-step explanation:

y=x3/4

y=8(3/4)

y=24/4

y=6

when you input 8 for x, you get 6 for y.

Answer:

Step-by-step explanation:

y = x3/4 is ambiguous.  I will assume that you meant

       x^3

y = ---------

         4

Then, if x = 8,  y = 128 (not a solution)

If x = -8, y = -128 (not a solution)

If x = 6, y = 54 (not a solution)

If x = -4, y = -1/4 (not a solution)]

Ensure that you have copied down this problem correctly.

Answer:

50 feet

Step-by-step explanation:

Perimeter is the sum of all of the lengths of the sides.

A triangle has three sides, and three lengths are given, therefore all the sides are given.

The sum of the sides is 20 + 20 + 10 = 50

So the Perimeter is 50 feet

Answer:50

Step-by-step explanation:20+20+10=50

Given:

The complex number is:

[tex]z=1+i\sqrt{3}[/tex]

To find:

The argument of the given complex number.

Solution:

If a complex number is [tex]z=x+iy[/tex], then the argument of the complex number is:

[tex]\theta=\tan^{-1}\dfrac{y}{x}[/tex]

We have,

[tex]z=1+i\sqrt{3}[/tex]

Here, [tex]x=1[/tex] and [tex]y=\sqrt{3}[/tex]. So, the argument of the given complex number is:

[tex]\theta =\tan^{-1}\dfrac{\sqrt{3}}{1}[/tex]

[tex]\theta =\tan^{-1}\sqrt{3}[/tex]

[tex]\theta =\tan^{-1}\left(\tan \dfrac{\pi}{3}\right)[/tex]

[tex]\theta =\dfrac{\pi}{3}[/tex]

Therefore, the argument of the given complex number is [tex]\theta =\dfrac{\pi}{3}[/tex].

Answer:

[tex]S_{10} = 682[/tex]

Step-by-step explanation:

Given

[tex]a_1 = 6; r = 2[/tex]

Required

[tex]S_{10[/tex]

This is calculated as:

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

So, we have:

[tex]S_{10} = \frac{6 * (2^{10} - 1)}{10 - 1}[/tex]

[tex]S_{10} = \frac{6 * (1024- 1)}{9}[/tex]

[tex]S_{10} = \frac{6 * 1023}{9}[/tex]

[tex]S_{10} = 682[/tex]

Answer:

$7.5

Step-by-step explanation:

4 bottles cost = $5

Then 1 bottle costs:

$5/4 = $1.25

Then 6 bottles cost:

$1.25*6 = $7.5

Answer:

1.30

2. 0 im pretty sure

Step-by-step explanation:

if im wong sry

Answer:

Step-by-step explanation:

Y= 320(1.5)^x-1

In this exercise we have to use the data informed in the text and perform the assembly of an equation in this way we find that:

[tex]Y=320(0.5)^X-1[/tex]

Some data were informed in the text for this equation to be written, so:

Now writing the equation representing the given information is:

[tex]Y=320(0.5)^X-1[/tex]

See more about equation at  brainly.com/question/2263981

Answer

around $250 per month

Step-by-step explanation:

Answer:

x = 5.56

Step-by-step explanation:

Sin(17) = [tex]\frac{x}{19}[/tex]

=> Isolate the "x"

Sin(17) * 19 = x

5.56 = x

Hope this helps!