A psychologist wants to know if the difficulty of a task influences our estimate of how long we spend working at it. She designs two sets of mazes that subjects can work through on a computer. Once set has easy mazes and the other has hard mazes. Subjects work until told to stop (after 6 minutes, but subjects do not know this). They are then asked to estimate how long they worked. The psychologist has 30 students available to serve as subjects.
Describe an experiment using a completely randomized design to learn the effect of difficulty on estimated time.

Answer:

55.25 = x

Step-by-step explanation:

3x - 161 = 7x - 382

Balance method:

7x- 3x = -161 + 382

4x = 221

Divide to find x:

221/4 = x

55.25 = x

Answer:

Step-by-step explanation:

1/6 x 1/5 + 1/30

= 1/30 + 1/30

= 2/30

=1/15

Answer:

Initial value = 4

Growth factor = 1.6

Step-by-step explanation:

Function representing the exponential growth is given by,

f(x) = Initial value(1 + growth rate)ˣ

Here x = time or duration for growth

(1 + growth rate) = Growth factor

Given function is,

f(x) = 4(1.6)ˣ

By comparing both the functions,

Initial value = 4

Growth factor = 1.6

Answer:

The total amount accrued, principal plus interest, from simple interest on a principal of $60.00 at a rate of 5% per year for 12 years is $96.

Step-by-step explanation:

Given

Principle P = $60

Rate r = 5% = 5/100 = 0.05

Time period t = 12 years

To determine

New Balance A = ?

Using the formula

A = P(1 + rt)

A = 60(1+(0.05×12))

A = $96.00

Therefore, the total amount accrued, principal plus interest, from simple interest on a principal of $60.00 at a rate of 5% per year for 12 years is $96.

Hey there!

DISTRIBUTE

3(–2x – 3) + 4x – 3 = 8

3(–2x) + 3(–3) + 4x – 3 = 8

COMBINE LIKE TERMS

–6x – 9 + 4x – 3 = 8

–2x – 12 = 8

ADD by 12 on BOTH SIDES

–2x – 12 + 12 = 8 + 12

CANCEL out: –12 + 12 because that gives 0

KEEP: 8 + 12 because it helps us solve for x

“8+ 12 = 20”

–2x = 20

DIVIDE by –2 on BOTH SIDES

–2x/–2 = 20/–2

CANCEL out: –2/–2 because that gives 1

KEEP: 20/–2 because that gives you x

“x = 20/–2”

Answer: x = –10 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

7) A = 6 x 6

   A = 36

8) 24 x 7 = h

168 = h

Step-by-step explanation:

Answer:

○ [tex]\displaystyle One\:relative\:maximum\:(-1, 8)\:and\:one\:relative\:minimum\:(2, -4)[/tex]

Step-by-step explanation:

The minimum is the lowest possible point a certain graph touches, while the maximum is the highest possible point a certain graph touches.

I am joyous to assist you at any time.

9514 1404 393

Answer:

Step-by-step explanation:

Variables are defined in the problem statement.

  x + y ≥ 20 . . . . . . . . at least 20 tickets were sold

  14x +12y ≤ 420 . . . . sales were at most $420

Answer:

[tex]Gallons = 27.95[/tex]

Step-by-step explanation:

Given

[tex]Gallons : Miles = 17:590[/tex]

Required

Determine the number of gallon for 870 miles

To do this, we simply substitute 870 for miles in the ratio above

So, we have:

[tex]Gallons : 870= 17:590[/tex]

Convert to fraction

[tex]\frac{Gallons}{870} = \frac{17}{590}[/tex]

Multiply through  by 870

[tex]870 * \frac{Gallons}{870} = \frac{17}{590}*870[/tex]

[tex]Gallons = \frac{17}{590}*970[/tex]

[tex]Gallons = \frac{17*970}{590}[/tex]

[tex]Gallons = \frac{16490}{590}[/tex]

[tex]Gallons = 27.95[/tex]

Answer: 8044

Step-by-step explanation:

Answer:

[tex]T_n = 3T_{n-1}[/tex]

Step-by-step explanation:

Given

[tex]T_1 = 8[/tex] -- First term

[tex]r = 3[/tex] --- rate

Required

Determine the recursive term

We have:

[tex]T_1 = 8[/tex]

The second term to the nth term is:

[tex]T_2 = T_1 * 3 = 8 * 3 = 24[/tex]

[tex]T_3 = T_2 * 3 = 24 * 3 = 72[/tex]

[tex]T_4 = T_3 * 3 = 72 * 3 = 216[/tex]

Using the above yardstick:

[tex]T_n = T_{n-1} * 3[/tex]

[tex]T_n = 3T_{n-1}[/tex]

Answer:

4.Let the required function be denoted by f(n) , where n denotes the nth day after Alex started a new social media account.

On day 1, the number of Alex’s followers is 8. Hence f(1) = 8.

Subsequently, the number of Alex’s followers tripled every day. Hence f(n) = 3f(n-1) when n > 1.

Thus, the recursive function is

f(1) = 8

f(n) = 3 f(n-1) if n > 1.

Option D is the correct answer.

Step-by-step explanation:

Answer:

$7

Step-by-step explanation:

4 x 39 = 156

156 - 149 = 7

Answer:

-61.904761904761905

Step-by-step explanation:

Math is how I got my answer.

Answer:

B. -2x + 5

Step-by-step explanation:

First, distribute the 3 and 2 to the parentheses:

3(2x + 1) - 2(4x - 1)

6x + 3 - 8x + 2

Add like terms:

-2x + 5

So, the simplified expression is -2x + 5

B is the correct answer

Answer:

it is B

Step-by-step explanation:

3*2x=6x

2*4x=8x

1*3=3

1*2=2

6x-8x= -2x

3+2=5

i got the +2 because there are two negative signs and that makes it positive

Answer:

Its A

Step-by-step explanation:

y intercept equal 2 so it must intersect at 2 on the y axis and it must go down because its a negative function

Answer:

[tex]x^{2}[/tex]

Step-by-step explanation:

x · x =[tex]x^{2}[/tex]

Answer:

A: For every 4 votes Mary received, Brittany received 3 votes.

Step-by-step explanation:

Answer:

99

Step-by-step explanation:

2+5, ∈ℤ

=2+7+12+⋯+97

This is AP with =2,=5,

th term is given by =+(−1)

97=2+(−1)5⟹=20

So sum of such integers,

20=202(2+97)=990

The sum of whole number that are less than 100 and leave reminder 2 when divided by 5​ is 990.

A series in which the differences between each pair of following terms are the same is known as an arithmetic progression.

An arithmetic progression is a sequence in which every phrase—aside from the initial term—is created by multiplying the previous term by a predetermined amount.

Given:

We have to find the sum of number that are less than 100 and leave reminder 2 when divided by 5​

So, we get the sequence

2, 7, 12, ................97

=2+7+12+⋯+97

This is AP with =2,=5,

So, l= a+( n-1)

97= 2+ (n-1)(5)

95 = 5(n-1)

n-1 = 95/5

n-1 = 19

n= 19 + 1

n=20

Now, the sum is

[tex]S_{20}[/tex] = 20/2( 2 x 2+ (20 - 1 )(5))

     = 10( 4 + 19(5)

     = 10 (99)

     = 990

Hence, the sum is 990.

Learn more about Arithmetic Progression here:

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Answer:

3

Step-by-step explanation:

the answer of 5+7-15 is -3, so absolute value makes it 3

plz brainliest

Answer:

In a quadrilateral ABCD, ∠A = 100°, ∠B = 105° and ∠C = 70°, find ∠D.

Solution:

Here the sum of the four angles

or, ∠A + ∠B + ∠C + ∠D = 360°

We know, ∠A = 100°, ∠B = 105° and ∠C = 70°

or, 100° + 105° + 70° + ∠D = 360°

or, 275° + ∠D = 360°

∠D = 360° - 275°

Therefore,  = 85°

i hope this was helpful. <3

crown?

The area is the volume divided by the height.

Area = 182 / 2.8

Area = 65 square meters

Area of the classroom floor is equals to [tex]65m^{2}[/tex].

" Area is defined as the total space occupied by any two dimensional object."

Formula used

Volume of a cuboid = Length × width × height

Area of a classroom floor = length × width

According to the question,

Given,

Height of a classroom = [tex]2.8m[/tex]

Volume of a classroom =[tex]182 m^{3}[/tex]

Substitute the value in the formula of volume we get,

182 = Length × width × 2.8

⇒Length × width = [tex]\frac{182}{2.8}[/tex]

⇒Length × width =[tex]65m^{2}[/tex]

Therefore,

Area of the classroom floor =[tex]65m^{2}[/tex]

Hence, area of the classroom floor is equals to [tex]65m^{2}[/tex].

Learn more about area here

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The sum of magnitude of two vectors is 2√5.

A vector is a number or phenomena with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation. In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.

We have,

the magnitude of two vectors are 4 and 2.

and, The direction of two vectors are 45° and 135°.

According to vector addition,

The angle between both the vectors = 135 - 45 = 90

and, Sum of Vector

= √4² + 2²

= √16 + 4

= √20

Thus, the sum of magnitude of two vectors is 2√5.

Learn more about Vector here:

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Answer:

Function B has the greater rate of change

Step-by-step explanation:

Function A has a slope of 1/3

Function B has a slope of 1/2

When comparing slopes, the higher value has the greater rate of change

1/2 > 1/3

Answer:

5,290 repersent the distence that the jaquar jumped . and ran.

Step-by-step explanation:

pleas mark brainist plz happy to help

Answer: D

Step-by-step explanation:

Answer:

0.14084507042

Step-by-step explanation:

lmk if u want the 1/4 or 5/5 like taht pig

Answer:

12/35

Step-by-step explanation:

1/7 + 1/5

Find a common denominator:

35

Multiply the top and bottom to get that denominator:

1/7 * 5/5 = 5/35

1/5 * 7/7 = 7/35

Add the numerators:

7+5=12

12/35

Answer:

A. 12.51

Step-by-step explanation:

I had it on a test.