Students took an exam. Here are their grades. What is the class' mean grade? What
is the median grade?
(Round the average to the nearest whole number.)
65, 70, 70, 80, 80, 85, 85, 85, 90, 90, 100

Answer:

x = 79.6

Step-by-step explanation:

[tex] \sin( 0) = \frac{opp}{hyp} [/tex]

↓

[tex] \sin(31) = \frac{41}{x} [/tex]

↓

[tex]x = \frac{41}{sin31} [/tex]

↓

x = 79.6

Step-by-step explanation:

Volume of a cone = 1/3 x π x r^2 x h

= 1/3 x 3.14 x (8)^2 x (18)

= 1/3 x 3.14 x 64 x 18

= 1/3 x 3.14 x 1,152

= 1/3 x 3.14 x 1,152

= 1,205.76

= 1,205.8 m^3

*Note*: Alter the pi according to the question always.

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

                multiplying the first bracket with the second (step by step)

          = 1( 5z + 8z^2 - z^3) +2z ( 5z + 8^2 - z^3 )+3z^3 (5z + 8^2- z^3)

          = 5z + 8z^2 - z^3 + 10z^2 + 16z^3 - 2z^4 + 15z^4 + 24z^5 -3z^6

          =5z + 16z^2 + 15z^3 + 17z^4 + 24z^5 -3z^6

The value of z-score with a confidence level of 95% in finding margin of error for the mean of a normally distributed population from a sample is 1.96.

Normally distributed data is the distribution of probability which is symmetric about the mean.

The confidence level is 95% when finding the margin of error for the mean of a normally distributed population from a sample.

The critical z score value for the confidence level of 95% is 1.96 and +1.96 standard deviation.

Thus, the value of z-score with a confidence level of 95% in finding margin of error for the mean of a normally distributed population from a sample is 1.96.

Learn more about the normally distributed data here;

https://brainly.com/question/6587992

Answer:

1.96

Step-by-step explanation:

its 1.96 or c on edge 2020

Step-by-step explanation then the answer:

Hey there, I think this question may be a circle all. So the questions with the answer (quotient) being in the hundreds place would be A, D, and E. Those all have quotients in the hundreds place.

Answer:

divide it into a triangle and a segment then use Pythagoras thereom

the sum of all the angles in a triangle is 180°

65°+20°+x = 180°

85°+x = 180°

x = 95°

hope it helps...!!!

option B

Cos theta is positive and sin theta is negative in quadrant IV

[tex]Cos \ \theta =\dfrac{4}{5}=\dfrac{adjacent \ side}{hypotenuse}[/tex]

We have to find opposite side using Pythagorean theorem.

x² + 4² = 5²

x² + 16 = 25

       x² = 25- 16

       x² = 9

       [tex]\sf x =\sqrt{9}\\\\x = 3[/tex]

[tex]\sf \ sin \ \theta =\dfrac{opposite \ side}{hypotenuse}\\Sin \ \theta =\dfrac{-3}{5}[/tex]

Answer:

Hi I believe the answer is A I hope this helps.

Step-by-step explanation:

4x-2=-8

12^-8

Answer:

A. 12⁻⁸

Step-by-step explanation:

When an exponent is applied to a number which already contains an exponent, they should be multiplied.

The answer is A.

A parallelogram has an area of 37 square feet. If the height of the parallelogram is 4 feet, how many feet is the base?

The base of the given parallelogram is

Area of a parallelogram is defined as the product of its base and height respectively. Mathematically;

→ Area of parallelogram = base * height

By substituting the given values in the formula, we get the following results:

→ 37 = base * 4

→ base = 37/4

→ base = 9.25

Hence, the base of the given parallelogram is 9.25 feet.

Let's know something more about a parallelogram.

What is a parallelogram?

A parallelogram is a special type of quadrilateral whose opposite sides are parallel and hence its opposite angles are also parallel.

What is the formula of a parallelogram?

Let ‘B’ be the base and ‘H’ be the height of a parallelogram then its area is given by,

→ Area of parallelogram = B * H

What is unit of parallelogram?

The unit of a parallelogram is square units.

Answer:

388.79 (nearest hundredth)

Step-by-step explanation:

Given sequence:  324, 54, 9, ...

Therefore:

[tex]a_1=324[/tex]

[tex]r=\textsf{common ratio}=\dfrac{54}{324}=\dfrac16[/tex]

Sum of a finite geometric series:

[tex]S_n=\dfrac{a_1-a_1r^n}{1-r}[/tex]

Sum of the first 6 terms → n= 6:

[tex]\begin{aligned}S_6 & =\dfrac{324-324(\frac16)^6}{1-\frac16}\\ & =\dfrac{324-\frac{1}{144}}{1-\frac16}\\ & =\dfrac{9331}{24}\\ & = 388.79\:\textsf{(nearest hundredth)}\end{aligned}[/tex]

So

[tex]\\ \rm\Rrightarrow S_n=\dfrac{a-ar^n}{1-r}[/tex]

[tex]\\ \rm\Rrightarrow S_6=\dfrac{324-324(1/6)^6}{1-1/6}[/tex]

[tex]\\ \rm\Rrightarrow S_6=\dfrac{324-\dfrac{1}{12^2}}{\dfrac{5}{6}}[/tex]

[tex]\\ \rm\Rrightarrow S_6=\dfrac{9331}{24}=388.79[/tex]

Answer:

4 dollars

Step-by-step explanation:

12 divided by 3 is 4

Answer:

A) -5/2

Step-by-step explanation:

Parallel lines have same slope.

Answer:

[B] [tex]y=log_3x[/tex]

Step-by-step explanation:

Given:

[tex]y=3^x[/tex]

Exchange the variables:

[tex]x=3^y[/tex]

Putting the variable y on the left side of the equation:

[tex]3^y=x[/tex]

Applying the logarithm properties:

[tex]y=log_3(x)[/tex]

Thus,

[tex]f^-^1=log_3(x)[/tex]

Hence, the answer is [B] [tex]y=log_3x[/tex]

~lenvy~

Answer:

A

Step-by-step explanation:

8-3=5

9/10 -4/10 =5/10

since 5/10 can be simplified to 1/2, it is A

Answer:

20 m^2

Step-by-step explanation:

Area of base rectangle + area of triangle atop the rectangle = total area

8x 2                                 + 1/2 4 * 2

 16               +        4    = 20 m^2

Answer:

right answer

Step-by-step explanation:

A guy name Mac answered a similar question so it’s right.

Step-by-step explanation:

Answer:

I would say about 60%

Step-by-step explanation:

since odd numbers are 3 of the 5 total cards 3/5 gets you 60% likely to pull qn odd number.

Answer:

See below

Step-by-step explanation:

you want kg/m^3    so just divide

    420 kg / 7 m^3 = 60 kg/m^3

[tex]\text{Given that, }\\\\~~~~~~~~~\sin \theta = \dfrac 35\\\\\implies \sin^2 \theta = \dfrac 9{25}\\\\\implies 2\sin^2 \theta = 2 \times\dfrac{9}{25}\\\\\implies 1-\cos 2\theta = \dfrac{18}{25}\\\\\implies \cos 2\theta = 1-\dfrac{18}{25}\\\\\implies \cos 2 \theta = \dfrac 7{25}[/tex]

Answer:

Step-by-step explanation:

The given relations can be written as two equations in two unknowns. These can be solved by any of the ususal methods.

__

Let v and b represent the numbers of vans and buses used, respectively.

  v + b = 24 . . . . . 24 vehicles were taken

  8v +43b = 752 . . . . 752 students were transported

__

Perhaps the easiest solution is that afforded by a graphing calculator. It shows the solution to be ...

  v = 8 . . . . vans required

  b = 16 . . . . buses required

__

You can eliminate the v variable by subtracting 8 times the first equation from the second.

  (8v +43b) -8(v +b) = (752) -8(24)

  35b = 560 . . . . . simplify

  b = 16 . . . . . . divide by 35

  v = 24 -16 = 8 . . . . . find v from the first equation

They had to take 8 vans and 16 buses.

Answer:

8 , 6 , 12

Step-by-step explanation:

Answer:

what?

Step-by-step explanation:

Answer:

Please tell me what this means.

Answer:

They are not

Step-by-step explanation:

Check the attached photo out