3. The grade-point averages of 20 college seniors selected at random from a graduating class are as follows:
3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9 Calculate the standard deviation.

Divergence:

div(F) = ∂(3x²y² + 2z)/∂x + ∂(3x² + y + yz)/∂y - ∂(3x²z² + 2yx + xyz)/∂z

div(F) = 6xy² + 1 + z - 6x²z - xy

Curl:

curl(F) = [∂(3x² + y + yz)/∂z + ∂(3x²z² + 2yx + xyz)/∂y] i

… … … … … - [∂(3x²y² + 2z)/∂z + ∂(3x²z² + 2yx + xyz)/∂x] j

… … … … … + [∂(3x²y² + 2z)/∂y - ∂(3x² + y + yz)/∂x] k

curl(F) = (-xz - 2x - y) i + (6xz² + yz + 2y + 2) j + (6x - 6x²y) k

Answer:

n=5

6n^2-15=6(5)^2-15 -> add 15 to both sides

6n^2=6(5)^2 -> divide both sides by 6

n^2=5^2 -> sqr both sides

n=5

Answer:

No, none of these can be simplified

Step-by-step explanation:

Each one of these factions have a prime number in it, so therefore, you cannot simplify any of them. Prime numbers are numbers that only have 2 factors, one and itself. So, you can't simplify any of them.

Here's why:

If you take 3/4, you can't simplify because 3 is prime. 4 is NOT prime, but to reduce, you have to be able to find a GCF, or a greatest common factor.

Answer:

4

Step-by-step explanation:

Use system of equations to solve for x.

Answer:

x = 72

Step-by-step explanation:

3/8=27/x

cross multiply

3*x=3x   27*8=216

divide

216/3=x

x=72

Answer:

Step-by-step explanation:

∠L and ∠N are identical

3x + 40 = 5x

       40 = 2x

        20 = x

So ∠L and ∠N are both 100°

Internal angles on a quadrilateral sum to 360° and ∠M and ∠O are identical

∠M = (360 - 2(100))/2 = 80°

Answer:

1000 = 450 + 50w

Step-by-step explanation:

She starts with $450 so that is why you add it. The amount she started with will not change.

She earns $50 per week so you add 50 multiplied by the number of weeks she works.

You do this until it equals 1000

Answer:

2(3x + 6)

Step-by-step explanation:

Step-by-step explanation:

First we need to isolate the y, by dividing -4 on both sides. This will give you y = 1/4x - 5.

Now you can properly graph the equation:

Since -5 is the y-intercept (the point in which the line intercepts the y-axis), we will place our first point at (0,-5) on the graph.

In order to find the next point, we will use the slope of the line and do rise/run. So we will go upwards 1 unit and to the right 4 units.

(Image of graph will be attached above⤴⤴⤴)

Hope this helps you :)

Answer:

L = 36 yd

Step-by-step explanation:

Given the area of a rectangle of 1044 yd², and a width of 29 yards:

Using the formula for finding the area of a rectangle, A = L × W, algebraically solve for the length (L):

A = L × W

where:

A = area of a rectangle = 1044 yd²

L = length of a rectangle

W = width of a rectangle = 29 yd

Divide both sides by W to isolate L:

[tex]\displaystyle\mathsf{\frac{A}{W}\:=\:\frac{L\:\times\:W}{W}}[/tex]

[tex]\displaystyle\mathsf{L\:=\frac{A}{W}}[/tex]

Substitute the values for the area and the width of a rectangle:

[tex]\displaystyle\mathsf{L\:=\frac{1044\:yd^2}{29\:yd}}[/tex]

L = 36 yd

Therefore, the length of a rectangle is 36 yards.

Answer:

8x2=h

Step-by-step explanation:

Answer:

8 ÷ 2 = h

Step-by-step explanation:

Since we know that 8 hours is two times the amount of time Kim read her book we know we have to divide 8 by 2 to get the answer for h.

have a good day/night

Answer: B

Step-by-step explanation: I beilieve it's B but, don't take my word.

Answer:

Step-by-step explanation:

The total number of tosses is 9

The number of successes is 3

P(heads 3 times ) = 3/9

P(heads 3 times) = 1/3

Answer:

5+7=12-35=-23

Step-by-step explanation:

Answer:

-4x+8=24

24-8

16/-4x

x= -4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

-4x + 8 = 24

Subtract 8 from both sides to isolate the x.

-4x + 8 = 24

       -8    -8

-4x       = 16

Divide -4 from both sides to solve for x.

-4x = 16

/-4    /-4

x = -4

[tex]\ln(5-x) = \ln 5 - \ln x\\\\\implies \ln(5-x) + \ln x = \ln 5\\\\\implies \ln[(5-x)x] =\ln 5\\\\\implies \ln(5x -x^2) = \ln 5\\\\\implies 5x -x^2 = 5\\\\\implies x^2 -5x +5 =0\\\\\implies x = \dfrac{-(-5) \pm \sqrt{(-5)^2 - 4 \cdot 1 \cdot 5}}{2(1)}\\\\\implies x = \dfrac{5 \pm \sqrt{5}}{2}\\\\\text{Hence} ~x = \dfrac 12\left(5 + \sqrt 5\right)=3.62~~ \text{and}~~ x =\dfrac 12 \left(5-\sqrt 5\right) =1.38[/tex]

Answer:

x1 = 3.618, x2 = 1.382

Step-by-step explanation:

ln(5-x) = ln5 - lnx

ln(5-x) + ln(x) = ln5

ln(5x-x^2) = ln5

5x-x^2=5

0=x^2-5x+5

x = -(-5)±√((-5)²-4(1)(5)) / 2(1)

x = 5±√(25-20) / 2

x = 5±√5 / 2

x1 = 3.618, x2 = 1.382

Answer:

d. 2

Step-by-step explanation:

-2y +10+2y-8

10-8. ( -2y+2y = 0)

2

Answer:

d) 2

Step-by-step explanation:

We can first combine like terms

-2y + 2y = 0

Now, our expression is simply 10 - 8, which is 2

So, the answer is

d) 2

Answer:

12,448.9

Step-by-step explanation:

i'm sorry if this is wrong

Both step 1 and step 2 were correct with the process of moving the value of x into the place of x and continuing to solve. However, step 3 is incorrect because when it is a negative value being subtracted by another negative value, it remains a negative. So the answer is -14 instead of 14.

Answer:

-32 - 8 = -40

Step-by-step explanation: basicly for 1 instead of putting 3 and 2 together he multiplyed then minus 8

then for 2 he did -6 and -8

then: 14............

Answer: 6 minutes 47.30 seconds is more faster by 4.71 seconds :D

Step-by-step explanation:

in  - order to find out the answer, you must subtract !  why ?  because in racing events the lowest time is the fastest !

Equation : 6 minutes 52.01 seconds - 6 minutes 47.30 seconds

Answer : 4.71 seconds

good luck on your homework ( also is that a savvas realize book ? 0-0 ) !!

Answer:

10 square inches

Step-by-step explanation:

[tex]area \: formula \: = \frac{1}{2} bh[/tex]

h= 5 inches

b= 4 inches

[tex] \frac{1}{2} \times 4 \times 5 = 10[/tex]

Hi, I already answered this question on your other post (seems like you posted this question twice): https://brainly.com/question/26075347 (check that link out)

Answer:

19.228 cubic yards

Step-by-step explanation:

volume = l×w×h

[tex]v = (3.8)(2.2)(2.3) \\ = 19.228 \: {yards}^{3} [/tex]

Answer: Aaron is running 8 minutes and 53 seconds per mile.

Answer:

The diameter is the length of the line through the center that touches two points on the edge of the circle.

Step-by-step explanation:

please mark my answer in brainlist

Answer:

Step-by-step explanation

F u

Answer:

Chart A

Step-by-step explanation:

Answer:

three and three eighteenths

5 3/6 = 33/6

2 1/3 = 7/3 = 14/6

33/6 - 14/6 = 19/6 = 3 1/6 or 3 3/18

Answer: The expression is 5d = 80. 80 ÷ 5 = 16. Therefore, the variable D is 16.

Answer:

y = (5/2)x + 20

Step-by-step explanation:

Since the bus and train are both at the station at time 0, the y-intercept for the new equation is 20. That is one point on the new graph: (0,20) The question said that the train travels faster, that means it spends less time getting to the next station. The existing graph shows the bus got to the next station in 10 minutes, so maybe the train got there in 8 minutes. So another point on the graph is (8,0) We can use a slope formula to calculate the slope of a new line. Or just count squares on the graph (se image) to find the slope. Slope tells how steep a line is, whether the line is going up or down, but also the slope is like directions how to get from one point to another point on the line.

All you need to write an equation is the slope, m and the y-intercept, b and fill those two numbers into the formula y=mx+b Here slope is 5/2 and y-intercept is 20. So you get

y=(5/2)x +20