A certain psychological test measures empathy and emotional intelligence. The score, S, of a randomly selected senior student at a large university has a mean of 123 and a standard deviation of 29. The score, F, of a randomly selected first-year student at a large university has a mean of 104 and a standard deviation of 34.

Suppose we randomly select one senior student and one first-year student.

Calculate the mean of the difference D = S – F.

μD = 17.7482
μD = 19
μD = 44.6878
μD = 227

By using the logarithm table, the value of the expression is approximately  written as 5.796.

To begin, let's use the properties of radicals and logarithms to rewrite the expression:

[tex]\frac{\sqrt[3]{1.373} }{\sqrt[4]{0.007} } = 1.373^{1/3} \times 0.007^{-1/4}[/tex]

Now, we can utilize logarithm tables to evaluate each term separately. Using logarithms, we can convert the above expression into a more manageable form:

=> 1.373 ¹/₃ = 1.092,

=> 0.007⁻¹/₄ = 5.311

Finally, we can substitute the approximated values back into the original expression:

≈1.092×5.311≈5.796.

To know more about logarithm here

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Answer:

slope is 2

y-intercept is 3

equation y=2x+3

Step-by-step explanation:

Answer:

slope=4/2 or 2

y-intercept=3

equation=y=2x+3

the slope would be 4/2 because if you do the triangle method you see that the vertical distance of y is 4 and the horizontal distance of x is 2 so that gives you 4/2 the y intercept is where the line starts at 0 which you can see is 3. if the equation is y=mx+b you plug in the slope which is 4/2 or 2 and plug in the y-intercept which is 3 which gives you y=2x+3

Answer:

20

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2, where a and b are the sides and c is the hypotenuse

15^2 + b^2 = 25^2

225 + b^2 = 625

b^2 = 625 -225

b^2 =400

Take the square root of each side

sqrt(b^2) = sqrt(400)

b = 20

Answer:

107cm

Step-by-step explanation:

The the answer is 107 because you have to add up all of the numbers.

if you make a graph and add the coordinates on the graph you can use that find out how it creates a ratio of 1:2

Answer:C

Step-by-step explenation: m=134kg,h=72m,g=10m/s

PE=mgh

PE=(134kg)(10m/s^2)(72m)

PE=964800J

Answer:

16 sweets

Step-by-step explanation:

Number of sweet that Sekhar had = x

Sweets given to Renu = (1/4) of x = [tex]\frac{1}{4}x[/tex]

Sweets given to Raji = 5

Remaining sweets = 7

[tex]x = \frac{1}{4}x +5 + 7\\\\x -\frac{1}{4}x = 12\\\\\frac{4*x}{1*4}x-\frac{1}{4}x = 12\\\\\frac{4x}{4}-\frac{1}{4}x= 12\\\\\frac{3x}{4}=12\\\\x = 12*\frac{4}{3}\\\\x=4*4\\\\x=16[/tex]

Answer:

OPTION B I THINK SOOOO

PLS MAKA ME BRAINIST PLS

Step-by-step explanation:

HOPE YOU HELP

Answer:

1. x = 1

   y = -7

2. x = 9

   y = -5

3. x = -6

  y = -5

4. x = -2

  y = 3

5. x = 8

   y = 2

Step-by-step explanation:

Count until you get from the first point to the next.

Answer:

hi sorry for answering late but the answer is D)greater than or equal to

Step-by-step explanation: Have a nice day :)

Answer:

greater than or equl to

Step-by-step explanation:

just gave answer i think not sure and it d by the way

Question:

A student wants to arrange four points to form a rectangle on a grid. She has already placed points at (-4. 4). (-4, 8). and (4, 8). Where should she place the last point?

Answer:

[tex]D = (4,4)[/tex]

Step-by-step explanation:

Let the rectangle be ABCD

[tex]A = (-4,4)[/tex]

[tex]B= (-4,8)[/tex]

[tex]C = (4,8)[/tex]

Required

Determine the location of the last point

A rectangle has the following coordinates

[tex]A = (x_1,y_1)[/tex]

[tex]B = (x_1,y_2)[/tex]

[tex]C = (x_2,y_2)[/tex]

[tex]D = (x_2,y_1)[/tex]

From the given coordinates:

[tex]x_1 = -4[/tex] --- see x coordinates of A and B

[tex]x_2 = 4[/tex] --- see x coordinates of C

[tex]y_1 =4[/tex] --- see y coordinates of C

[tex]y_2 =8[/tex] --- see y coordinates of B and C

So:

[tex]D = (x_2,y_1)[/tex]

[tex]x_2 = 4[/tex]

[tex]y_1 =4[/tex]

The coordinates of the last point (D) is:

[tex]D = (4,4)[/tex]

Answer:

25.12 or 25.13

Step-by-step explanation:

It says not to round so i’m not sure which one is the correct answer

(sorry (-.-“))

Answer:

25.12

Step-by-step explanation:

8 * 3.14 = 25.12

Answer:

v = 9

Step-by-step explanation:

6v - 4 = 50

6v = 54

v = 9

Answer: figure it out.

Step-by-step explanation: it's not hard, just put it in a calculator, knowledge...

Step-by-step explanation:

a=5*-4*-3

a=-2

hope this helps

Answer:

40

Step-by-step explanation:

So, if the angle shown, one of them is 70. the other is 110, because line is 180 degress, 180-70 = 110. C is 110. But, we need to find B. 13x + 6 must also be 70 degrees. 70-6 = 64. 64/13 = about 5. A is 100. The inner angles are 70+70+N. Angles in triangle are 180, so N is 180-70-70, which is 180-140. The B is 40 degrees.

Answer:

m∠ABC = 26°

Step-by-step explanation:

13x+6 + 8+3x + 70 = 180

16x + 84 = 180

16x = 96

x = 6

m∠B = 8+3(6) = 26°

Answer:

55 miles

Step-by-step explanation:

Given data

DIstance =  825 miles

Time = 15 hours

Speed= distance/time

Speed= 825/15

Speed= 55  miles per hour

Given that we want to find the distance traveled in 1 hour, we have

Distance= Speed*time

Distance= 55*1

Distance= 55 miles

Hence the car will travel 55 miles in 1 hour

Answer:

Perimeter of rhombus =4×l

16=4l

l=16/4=4

its length =4cm

area of rhombus=36cm²

base× height (here base=length)=36cm²

4h=36

h=36/4=9

:.altitude of rhombus is 9cm.

Answer:

[tex]\frac{5(x+y)}{-8x}[/tex]

Step-by-step explanation:

It is a fraction that usually has a numerator and denominator

the numerator is the number on top while the denominator is the number below

[tex]\frac{a}{b}[/tex]

In the above fraction, a is the numerator while b is the denominator

Numerator =5 × ( x + y)

Denominator = -8x ( negative means there is a negative sign before 8)

( product means multiplication)

[tex]\frac{5(x+y)}{-8x}[/tex]

Answer:

A. $3.96

Step-by-step explanation:

$2.20 × 1.8 pounds = $3.96

Answer:

m<a = m<c since those two angles are vertical angles.

m<a + m<b = 90⁰ since, if you look closely m<a and m<b forms a 90⁰ angle that means it is equal to 90⁰.

Hope this helps and I would appreciate if you give me the brainlist or not thank you :) !!

Answer:

electric poles are all stationary objects

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

The probability of an event is calculated by dividing the number of successful outcomes by the number of total outcomes. In an algebraic expression, that would be [tex]\frac{successful}{total}[/tex].

In this case, there are a total of [tex]20+15+10=45[/tex] ways to choose any ball, since there are [tex]45[/tex] balls in the box. However, only [tex]10[/tex] are yellow, so there are [tex]10[/tex] ways to successfully choose a yellow ball. Therefore, the probability of choosing a yellow ball is [tex]\frac{10}{45}=\frac{2}{9}[/tex]. Hope this helps!

Answer:

x = 2700 y=2900

Step-by-step explanation:

x+y = 5600

5/100 x + 9/100 y = 396

x+y=5600

5x+9y=39600

5x+5y = 28000

5x+9y=39600

-4y = -11600

y= 2900

x = 5600-2900 = 2700

Answer:

A. 180 m²

B. 540 pounds

Step-by-step explanation:

Area of rectangular playground = length × width

Length of a Rectangular playground = 15m

width of the playground =

12m

Area of rectangular playground = length × width

= 15m × 12m

= 180m²

B. 1m square = 3 pounds

What will be the total amount he will charge for leveling the playground.

Total cost of leveling the playground = 180 m² × 3 pounds

= 540 pounds

Answer: 9 kilograms

Step-by-step explanation:

9 kilograms is larger because the kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side. While a gram is a unit of weight equal to 1/1000th of a kilogram. A gram is the approximate weight of a cubic centimeter of water.