On each trial of a digit span memory task, the participant is asked to read aloud a string of random digits. The participant must then repeat the digits in the correct order. If the participant is successful, the length of the next string is increased by one. For instance, if the participant repeats four digits successfully, he will hear five random digits on the next trial. The participant's score is the longest string of digits he can successfully repeat.

A professor of cognitive psychology is interested in the number of digits successfully repeated on the digit span task among college students. She measures the number of digits successfully repeated for 49 randomly selected students. The professor knows that the distribution of scores is normal, but she does not know that the true average number of digits successfully repeated on the digit span task among college students is 7.06 digits with a standard deviation of 1.63 digits.

a. The expected value of the mean of the 49 randomly selected students, M, is:_____
b. The standard error of M is:______

Answer:

The original number is x = 66 .19

Step-by-step explanation:

Let 'x' be the number

Given data a number is decreased by 19% the result is 66

x - 19% = 66

x-0.19 = 66

Adding '0.19' on both sides , we get

x - 0.19 +0.19 = 66 +0.19

x = 66 .19

The original number is x = 66 .19

The original number is 66.19.

Given that,

The number is decreased by 19% the result is 66.

We have to determine,

What is the original number?  

According to the question,

Let, the original number be x,

The number is decreased by 19% the result is 66.

[tex]x - \dfrac{19}{100} = 66\\\\x - 0.19 = 66\\\\x = 66 + 0.19\\\\x = 66.19[/tex]

Hence, The required original number is 66.19.

To know more about Linear inequality click the link given below.

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Answer:

1) Given

2) Slope Formula

3) Multiply

4) If the product of the slopes of two non vertical lines is -1, then the lines are perpendicular

5) Perpendicular lines intersect to form right angles

6) Definition of right triangle

Answer:

[tex] \frac{8}{11} [/tex]

Step-by-step explanation:

(4+5x-7)+(3-8+6x)=0

(-3+5x)+(-5+6x)=0

-8+11x=0

x=8/11

Answer:

Step-by-step explanation:

Answer:

2.4 kilograms

Step-by-step explanation:

Given: 5 people are evenly sharing 12 kilograms of apples

To find: quantity of apples that each person should get

Solution:

Use the unitary method to get the required answer.

Under unitary method, if the value of multiple items is given to us, divide the total value by the number of items to obtain the value of one item.

Quantity of apples for 5 people = 12 kilograms

Quantity of apples for 1 person = [tex]\frac{12}{5} =2.4[/tex] kilograms

So, each person should get 2.4 kilograms of apples.

Answer:

12/5 or 2 2/5

Step-by-step explanation:

We need to divide the 12 kilograms of apples by the 5 people sharing them, or 125

12  ÷ 5 = 12/5

12/5 = 5/5 + 5/5 + 2/5

       = 1 + 1 + 2/5

       = 2 2/5

Each person should get 12/5, or 2 2/5, kilograms of apple

Answer:

They all have PI π in the formulas

Step-by-step explanation:

The volume of Sphere is,  [tex]36\pi inch^3[/tex].

The volume of Cylinder is, [tex]36\pi inch^3[/tex].

The volume of Cone is,[tex]18\pi inch^3[/tex].

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed mathematically using imperial or SI-derived units. Volume and the notion of length are connected.

First to find the volume of Sphere.

Given a diameter of sphere is 6 inches.

So, the radius is 6/2 = 3 inches.

Volume of Sphere is,

[tex]V = \frac{4}{3} \pi r^3\\V = \frac{4}{3} \pi (3^3)\\V = 36\pi inch^3[/tex]

Now, to find volume of Cylinder.

Given: Height = 6 inch,  diameter = 6 inch  so, radius = 3 inch

Volume of cylinder is,

[tex]V = \pi r^2h\\V = \pi (3^2)6\\V = 36\pi inch^3[/tex]

Now, to find the volume of Cone.

Given: Height = 6 inch,  radius = 3 inch

Volume of cone is,

[tex]V = \frac{h}{3} \pi r^2\\V = \frac{6}{3} \pi (3^2)\\ V = 18 \pi inch^3[/tex]

Therefore, the above the volume of Sphere and Cylinder are equal.

And the volume of Cone is half of the volumes of Sphere and Cylinder.

To know more about the Volume, click on the link

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Answer:

$162

Step-by-step explanation:

12% of $75 is $9 Therefore,

$9 x 18 = 162 ( 18 being the years )

Hope this helps!!!

-Conrad

The right answer is 379.94 ft^2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex]379.94 {in}^{2} [/tex]

Step-by-step explanation:

[tex]d = 2r \\ 22 = 2r \\ \frac{22}{2} = \frac{2r}{2} \\ \\ r = 11ft[/tex]

[tex]area = \pi {r}^{2} \\ = 3.14 \times 11 \times 11 \\ = 379.94 {ft}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

4 words in 2 minutes

Step-by-step explanation:

36 / 18 = 2

2 words per minutes

2 x 2 = 4

You can type 4 words in two minutes

Step-by-step explanation:

So if you can type 36 word in 18 minutes then divide 36 by 18 to get 2 words per minute. Now multiply 2 words by 2 minutes to get 4 words per minute, your answer.

Answer:

Step-by-step explanation:

An equation is true when certain values are able to be substituted for the variable which is most of the time "x", the values that make an equation true is when the answer has a solution.

Answer:

f(n)=75+(n*3)

Step-by-step explanation:

Answer:

y =  x² - 8x + 17

Step-by-step explanation:

Recall this formula:

y = a(x-h)² + k

Original equation was y = x², which in this form looks like

y = 1(x - 0)² + 0

If the shape of the graph didn't change, that means that a (the compressor/intensifier) stayed the same (a - value) meaning we can write the equation as..

y = (x-h)² + k

Remember, (h, k) is the vertex, which looking from your graph is at (4, 1)

y = (x - 4)² + 1

y = x^2- 8x + 16+1

y = x² - 8x + 17

Answer:

(120^2+120^2)^0.5 = 169.705m

Step-by-step explanation:

Pythagorean Theorem

Answer:

  B.  5/9

Step-by-step explanation:

There are 5 names listed in the circles representing pepperoni and olives, so of the 9 students, 5 like pepperoni or olives.

  P(A or B) = 5/9

Answer:

-51

Step-by-step explanation:

[tex]\begin{vmatrix}-2&2&-5\\4&-1&-2\\1&3&-5\end{vmatrix}=\\=\mathsf{-10-4-60-5+40-12}=\\=\mathsf{-91+40}=\\=\mathsf{-51}[/tex]

Answer:

-51

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right] =1*\left[\begin{array}{ccc}2&-5\\-1&-2\end{array}\right] +(-3)*\left[\begin{array}{ccc}-2&-5\\4&-2\end{array}\right] +(-5)*\left[\begin{array}{ccc}-2&2\\4&-1\end{array}\right] =-9+(-72)+30=-9-72+30=-51[/tex]

Answer:

y = -2x - 8

Step-by-step explanation:

The slope is the number in front of the x. If it is a whole number then the slope is number/1. Then the slope is rise over runs. Then the y-intercept is the number after the x. Sometimes there isn't y-intercept. In this one the y-intercept is -8.

Answer:

Image A could be a Cylinder

Image B is a Tetrahedron

Step-by-step explanation:

Hope this helps : )

[tex]12x^{3} - {9x}^{2} + 4x - 3 = \\ = 3 {x}^{2} (4x - 3) + 1(4x - 3) = \\ = (4x - 3)( {3x}^{2} + 1)[/tex]

Answer:4x+15

Step-by-step explanation: PEMDAS. First you multiply 12x3 and 9x2 so you get 36-18. Then you subtract 18 from 36 leaving you with 18. Then you combine 18 and -3, leaving you with 4x-15.

Answer:

In vertex form, the parabola's equation is y=(x−1)^2 +5.

Step-by-step explanation:

Answer:

0.00138

Step-by-step explanation:

B. (x-3)2+(y-3)2=16

Equation of circle is

(x-a)2+(y-b)2=r2

Answer:

  ∠HGB = 20°

  ∠ECD = 34°

  ∠GBH = 36°

  ∠FGH = 37°

Step-by-step explanation:

There are several useful rules regarding angles:

This last observation is a consequence of the 2nd and 3rd observations.

__

angle ECD

Using the last observation, ∠ECD = 124° -90° = 34°.

angle HGB

Again, using the last observation, ∠HGB = 110° -90° = 20°.

angle GBH

There are at least a couple of ways to find this one. We assume that lines FB and EC are parallel, so angles HBC and ECD are corresponding, hence congruent. Angle GBC is the supplement of of 110°, so is 70°. Then ...

  ∠GBH = 70° -34° = 36°

angle FGH

Again, this angle can be found multiple ways. Here, we'll use the sum of angles in triangle FGB.

  ∠FGB +∠GBF +∠BFG = 180°

  (∠FGH +∠HGB) +∠GBF +∠BFG = 180°

  ∠FGH +20° +36° +87° = 180°

  ∠FGH = 180° -143° = 37°

__

Least to greatest, the angles are ...

  ∠HGB = 20°

  ∠ECD = 34°

  ∠GBH = 36°

  ∠FGH = 37°

Answer:

  The point (0, 25) is not a solution, but the point (-4, 10) is a solution.

Step-by-step explanation:

You can graph the inequality and check. The first point (0, 25) is on the boundary line, but that line is NOT part of the solution set. The second point (-4, 10) is well inside the solution space.

  (0, 25) is not a solution

  (-4, 10) is a solution

_____

You can put the values into the inequality and see if a true statement results.

  -10(0) +(25) > 25 . . . . False

  -10(-4) +(10) > 25 . . . . true

The first point is NOT a solution; the second point IS a solution.

Answer:

  (x -4)^2 +1

Step-by-step explanation:

For some f(x), a translation to the right by "h" and up by "k" transforms it to ...

  g(x) = f(x -h) +k

You want your G(x) to be a translation 4 units right and 1 unit up from F(x), so you have ...

  G(x) = F(x -4) +1

  G(x) = (x -4)^2 +1

Answer:

37 different combinations

Step-by-step explanation:

First of all, we will count the possible combinations that add up to 29.

-Losses only;

One possibility: 29 losses

-Ties & losses;

Nine possibilities: 1 tie and 26 losses; 2 ties and 23 losses; 3 ties and 20 losses;4 ties and 17 losses; 5 ties and 14 losses; 6 ties and 11 losses; 7 ties and 8 losses; 8 ties and 5 losses; 9 ties and 2 losses

-Wins & losses

Five possibilities: 1 win and 24 losses; 2 wins and 19 losses; 3 wins and 14 losses; 4 wins and 9 losses; 5 wins and 4 losses

Now, what we want to find from the question is number of possibilities for wins, ties, and losses all together. So, we will count up the ties and losses in the remainder for each case of a given number of wins.

Thus;

For 0 Wins: 0 ties and 29 losses; 1 tie and 26 losses; 2 ties and 23 losses; 3 ties and 20 losses;4 ties and 17 losses; 5 ties and 14 losses; 6 ties and 11 losses; 7 ties and 8 losses; 8 ties and 5 losses; 9 ties and 2 losses.

Which sums up to 10 possibilities

For 1 win; 0 ties and 24 losses; 1 tie and 21 losses........8 ties and 0 losses.

Which sums up to 9 possibilities

For 2 wins; 0 ties and 19 losses; 1 tie & 16 losses............ 6 ties and 1 loss.

Which sums up to 7 possibilities

For 3 wins; 0 ties and 14 losses; 1 tie and 11 losses ....... 4 ties and 2 losses.

Which sums up to 5 possibilities

For 4 wins; 0 ties & 9 losses; 1 tie and 6 losses....... 3 ties and 0 losses

Which sums up to 4 possibilities

For 5 wins; 0 ties and 4 losses; 1 tie and 1 loss

Which sums up to 2 possibilities

Thus;

Total number of possibilities of combinations of wins, ties and losses = 10 + 9 + 7 + 5 + 4 + 2 = 37

Step-by-step explanation:

Each roll has 6 possible outcomes, so two rolls have 36 possible sums.  We can make a table showing what these sums are:

[tex]\left[\begin{array}{ccccccc}&\textbf{1}&\textbf{2}&\textbf{3}&\textbf{4}&\textbf{5}&\textbf{6}\\\textbf{1}&2&3&4&5&6&7\\\textbf{2}&3&4&5&6&7&8\\\textbf{3}&4&5&6&7&8&9\\\textbf{4}&5&6&7&8&9&10\\\textbf{5}&6&7&8&9&10&11\\\textbf{6}&7&8&9&10&11&12\end{array}\right][/tex]

Of the 36 sums, 10 are greater than 8, and 18 are odd.

P(A) = 10/36 = 5/18

P(B) = 18/36 = 1/2

Answer:

The area of the base, B, of the pyramid is  96  cm2

he volume of the pyramid is 320  cm3.

Step-by-step explanation:

Answer:

96 320

Step-by-step explanation:

Answer:

  no

Step-by-step explanation:

If you draw a line from the right end of the top base to the bottom base, parallel to the left side, you cut off a right triangle that has a bottom leg of 12 and two unknown sides (height, and slant length).

All you can say is that the unknown slant length is more than 12 units.

If you know the height, you can find the slant length (hypotenuse) using the Pythagorean theorem.

Answer:

C) 60

Step-by-step explanation:

For computing the difference between the time taken in minutes by Noel and Tyra first we have to compute individually which are as follows

For Noel, the time taken required

[tex]= Time\ required \times number\ of\ days[/tex]

[tex]= 90\ minutes \times 6\ days[/tex]

= 540 minutes

For Tyra, the time taken required

[tex]= Time\ required \times number\ of\ days[/tex]

[tex]= 60\ minutes \times 8\ days[/tex]

= 480 minutes

So the difference is

= 540 minutes - 480 minutes

= 60 minutes

Hence, the third option is correct

Answer:

.............gcg................