Misha used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below: Color of Marble Number of Times Rolled Blue 20 Green 18 Yellow 12 Heads Tails 28 22 Using Misha's simulation, what is the probability of pulling a blue marble and the coin landing tails up? (5 points) a 410 over 2500 b 440 over 2500 c 32 over 50 d 42 over 50

Answer:

The rate of change of the distance between the airplanes is approximately 316.760 kilometers.

Step-by-step explanation:

The distance between both airplanes (r), in kilometers, can be determined by the Pythagorean Theorem, that is:

[tex]r^{2} = x^{2}+y^{2}[/tex] (1)

Where:

[tex]x[/tex] - Distance of the westbound airplane from airport, in kilometers.

[tex]y[/tex] - Distance of the southbound airplane from airport, in kilometers.

By Differential Calculus, we derive an expression for the rate of change of the distance between the airplanes ([tex]\dot r[/tex]), in kilometers per hour:

[tex]2\cdot r\cdot \dot r = 2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y[/tex]

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

Where:

[tex]\dot x[/tex] - Rate of change of the distance of the westbound airplane, in kilometers per hour.

[tex]\dot y[/tex] - Rate of change of the distance of the southbound airplane, in kilometers per hour.

If we know that [tex]x = 17\,km[/tex], [tex]y = 28\,km[/tex], [tex]\dot x = -164\,\frac{km}{h}[/tex] and [tex]\dot y = -271\,\frac{km}{h}[/tex], then the rate of change of the distance between the airplanes is:

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex]

[tex]\dot r \approx -316.760\,km[/tex]

The rate of change of the distance between the airplanes is approximately 316.760 kilometers.

all triangles have 180 total degrees, we know this

80 degrees are accounted for, so there's 100 left

3x - 25 = 100

3x = 125

x = 41.67

Answer:

I think it's B

Step-by-step explanation:

Answer:

C if you read it carefully it would show on each answer. plus it will sound eventually make sense

Answer:

Step-by-step explanation:

I really don’t know but I think you have to find the hypothenuse first then you can do the rest

Answer:

Step-by-step explanation:

"SAS" is when we know two sides and the angle between them. use The Law of Cosines to calculate the unknown side, then use The Law of Sines to find the smaller of the other two angles, and then use the three angles add to 180° to find the last angle.

Answer:

The median value is better because it is not affected by the skewness of the data

Step-by-step explanation:

The median is  better in representing the data of a stem and leaf plot because the median value is not affected so much by outliers and skewness of the data. for example:  for a downward skewed stem and leaf plot the value of the median is greater than the mean value

Hence the median value is a better representation of the central tendency

Answer:

20.04

Step-by-step explanation:

Answer:

20.04

Step-by-step explanation:

The three is in the hundredths place:

find your place (3)

look next door (8)

5 or greater add one more so 4

Answer:

D) The product of two rational numbers is rational.

Answer:

x + x + 7 + x -4 = 300

3x = 297

x = 99 First Piece

x2 = 106 Second Piece

x3 = 95 Third piece

Step-by-step explanation:

the answer is 3 because you subtract 6 - 3 = 3r

Answer:

option D

Step-by-step explanation:

Took the test

Answer: the summation of 4 times negative 3 to the n minus 1 power, from n equals 1 to 15 (option D)

Step-by-step explanation: I took the test and got it right :)

Answer: 210

Step-by-step explanation:

Answer:

Step-by-step explanation:

Coco

My fav movie?

Space Jam 2

Prob since I’ma basketball fan :)))

Answer:

Yes

Step-by-step explanation:

What is the question we need to answer? We got the information

Answer:

EI SONA

Step-by-step explanation:

Answer:

-39.65

Step-by-step explanation:

3 1/4 ⋅ (-12.2)

First, we must change the first fraction to a decimal.

3 1/4 = 3.25.

Now, we just multiply using standard algorithm.

3.25 ⋅ (-12.2) = -39.65.

Anytime you multiply a positive number by a negative number, the answer will ALWAYS be negative.

Answer: You forgot to include a photo

Step-by-step explanation:

Answer:B, C, D

Step-by-step explanation:

I did the USATESTPREP

Answer:

18 inches

Step-by-step explanation:

Respuesta:

113 N

Explicación paso a paso:

Las fuerzas ejercidas se dan como:

F1 = 30 N

F2 = 45 N

F3 = 38 N

A partir de los valores de las fuerzas ejercidas, podemos observar que todas las fuerzas están en la misma dirección; Dado que la fuerza total ejercida es un sol de las 3 fuerzas:

F1 + F2 + F3

(30N + 45N + 38N) = 113 N

Answer:

exterior angle: 22.5°, interior angle: 157.5°

Step-by-step explanation:

the formula for the measure of each Interior Angle in a regular polygon: [tex]\frac{180(n-2)}{n}[/tex], n = # of sides

=> [tex]\frac{180(16 - 2)}{16}[/tex] = 157.5°

the formula for the measure of each Exterior Angle in a regular polygon: [tex]\frac{360}{n}[/tex]

=> [tex]\frac{360}{16}[/tex] = 22.5°

Answer:

9.91%

Step-by-step explanation:

cost price= 400

selling price=444

profit made= 444-400

= 44

profit percentage= 44/444 ×100

=9.91%

Answer:

Step-by-step explanation:

8)

co-terminal angle for -960... can you tell me?  :D  w/o looking at my answer below?

Your answer for co-terminal angle is   ______________ :)

960 - 360 = 600

600 - 360 = 240

this is telling us that going in a clock wise direction.. as the -960 is, that the co-terminal angle is 240, which seems about right.. looking at the graph. so now. let's take 240 away from 360 to find that co-terminal angle but going in the positive direction or the counter clock wise direction

360-240 = 120

and yes.. that does look like 120 °  going in the positive direction.  

now do you know the sec identity  to use sin and cos???

look at the below diagram

sin     sec

cos    csc

tan    cot

the trig function line up like that for a reason

sin     1/sin

cos    1/cos

sin/cos   cos/sin

I put them in their sin and cos identities.. see.. they all line up that way

sec = 1/sin

csc = 1/cos

tan = sin/cos

cot = cos/sin

now... find

sec(120) = 1/sin(120)

do you know how to find sin(120) ?????

put it back to it's co-terminal angle in the 1st quadrat... I hope you know how to do this.. i'll just speed along... assuming you do

sin(120) = sin(60)= √3/2

so sec(120) = 1 / √3/2  

so sec(120) = 2/ √3

10)

csc(315) = 1/cos(315)

find the co-terminal angle that you know in the 1st quadrant again...

so 315 = 45 in the 1st quadrant.. I just looked and can see that

so

csc(315) = 1/cos(315   =  1/cos(45)     and cos(45) = √2/2

so then  1 /  √2/2   =   2 / √2

csc(315) = 2 / √2

what i'm really wondering about.. is .. where is question 9)

:DDD

Given:

In triangle [tex]EFG, m\angle E = 5x, m\angle F=6x[/tex] and extirior angle G  is 110 degrees.

To find:

The measure of angle FEG.

Solution:

Exterior angle theorem, the sum of two interior angles of a triangle is equal to the opposite extirior angle.

Using extrior angle theorem in triangle EFG, we get

[tex]m\angle E+m\angle F=\text{Measure of extirior angle }G[/tex]

[tex]5x+6x=110^\circ[/tex]

[tex]11x=110^\circ[/tex]

[tex]x=\dfrac{110^\circ}{11}[/tex]

[tex]x=10^\circ[/tex]

Now,

[tex]m\angle FEG=5x[/tex]

[tex]m\angle EFG=5(10^\circ)[/tex]

[tex]m\angle EFG=50^\circ[/tex]

Therefore, the measure of angle FEG is 50 degrees. So, option C is correct.

Answer:

332°

Step-by-step explanation:

Given is an isosceles triangle,

Measures of base angles of an isosceles triangle are equal.

Therefore,

Measure of central angle

= 180° - ( 76° + 76°)

= 180° - 152°

= 28°

Measure of shaded angle

= 360° - 28°

= 332°

Answer:

18

Step-by-step explanation:

8n=144

divide the both side of the equation by 8

and you will get

n=18

Answer:

8n-5=139

Add 5 to each side.

8n=144

Divide each side by 8.

n=18