Seven different names were put into a hat. A name chosen 100 times. And the name Michael is chosen 9 times. What is experimental probability of the name Michael being chosen? What is the theoretical probability of the name Michael being chosen? Use the pencil and paper. Explain how each probability would change if the number of names in the hat were different.

Answer:

6 x [tex]\frac{3}{4}[/tex]= 4[tex]\frac{2}{4}[/tex]

Step-by-step explanation:

Answer:

multiplication

Step-by-step explanation:

HOPE THIS HELPS

4/29 is the probability that a student who did not complete the homework passed the test.

Step-by-step explanation:

It is given that,

There are 29 students in a math class.

Two types of students who passed the test and are not passed the test.

The other two types of students are who completed the assignment and did not complete the assignment.

So, the given data can be formed as a table.

There were 22 students who passed the test.

There were 20 students who completed the assignment.

There were 18 students who passed the test and also completed the assignment.

                                        Passed the test     Not passed the test    Total

Completed assignment        18                             -                             20

Not completed assignment   x                             -                                -

Total                                       22                           -                               29

Now, you need to find the probability that a student who did not complete the homework passed the test.

⇒ No.of students completed assignment passed the test / Total students.

To find the no.of students completed assignment passed the test :

Let 'x' is the no.of students completed assignment passed the test.

⇒ 18+x = 22

⇒ x = 22 - 18

⇒ x = 4

∴ P(students completed assignment passed the test) = 4 / 29.

Answer:

It would be option 2.

Step-by-step explanation:

This is because option 1 does not have a irrational number that goes on indefinitely, option three has the square root of 25, which equals 5 meaning it is rational, and the last option also gives us rational choices. Therefore, the only possibility is that it would be option 2.

Answer:

24 dollars

Step-by-step explanation:

59 - 35 = 24

so he spent 24 dollars on the baseball gear

Answer:

m∠ MNL = 78º

Step-by-step explanation:

Arcs meassures

mML = (11x - 5)º

mJK = (4x + 26)°

Angle meassure

m∠MNL = (10 x – 12)º

______________________

angle measure = average of arcs

m∠MNL  = (mML+ mJK)/2

Replacing

(10x – 12)º =  ((11x - 5)º + (4x + 26)° )/ 2

10x -12 =  (15x + 21 )/2

10x - 7.5x = 10.5 + 12

2.5x = 22.5

x= 9

m∠MNL = (10 x – 12)º

             = 90 - 12

             = 78º

Answer:

x = 42°

Step-by-step explanation:

Fact: The sum of the exterior angles will be 360°.

(3x + 45) + (2x - 30) + (5x - 75) = 360

combine like terms:

10x - 60 = 360

add 60 to each side of the equation:

10x = 420

divide both sides by 10:

x = 42°

Answer: A= 51.3 B= 18.2 C=110.5

Step-by-step explanation:

The missing elements in the triangle are A ≈ 3.992°, B ≈ 170.008°, and c ≈ 5.4 units

To find the missing angle 'A', we can use the law of cosines, which states that for any triangle with sides 'a', 'b', and 'c' and opposite angles 'A', 'B', and 'C', the following relationship holds:

c² = a² + b² - 2ab * cos(C)

Plugging in the known values, we get:

c² = 5² + 2² - 2 * 5 * 2 * cos(6)

Now, we can solve for 'c':

c² = 29 - 20 * cos(6)

c² ≈ 28.8178

c ≈ √28.8178

c ≈ 5.4 (rounded to the nearest tenth)

Now that we have the value of side 'c', we can find angle 'A' using the law of sines, which states that for any triangle:

sin(A) / a = sin(C) / c

Plugging in the known values:

sin(A) / 5 = sin(6) / 5.4

Now, solve for 'sin(A)':

sin(A) = 5 * sin(6) / 5.4 sin(A) ≈ 0.0698

Now, find the value of angle 'A' using the inverse sine (sin⁻¹) function:

A ≈ sin⁻¹(0.0698)

A ≈ 3.992° (rounded to the nearest tenth)

Finally, to find angle 'B', we can use the fact that the sum of angles in any triangle is 180 degrees:

B = 180 - A - C

B = 180 - 3.992 - 6

B ≈ 170.008° (rounded to the nearest tenth)

To know more about triangle here

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Answer:

answer: 361.88

Hope that helps!

Answer: (300,0), (300,160)

Step-by-step explanation:

Given

Dimension of the football field is  [tex]300\ ft\times 160\ ft[/tex]

The length between (0,0) and (0,160) coordinates is 160 ft

Similarly, (0,0) and (300,0) represents the 300 ft of length

and (0,160) and (300,160) represents the 300 ft of length

Thus, the other two coordinates are (300,0) and (300,160)

Step-by-step explanation:

formula for the first question:

a^2+b^2=c^2

8^2+6^2= 100

√100 = 10cm

Answer:

1.125

Step-by-step explanation:

Answer:£850≤A

Step-by-step explanation:

Answer:

15% increased

=16% increased

=17% invreased

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

3+3=6

6+6=12

so yes, that statement is correct

Answer: yes this statement is completely correct.

Step-by-step explanation:

Answer:

59%

Step-by-step explanation:

37 over 60 besides a 1 over 100

37        1

     =

63       100

cross multiply

37(100)=63(1)

3700=63

3700 divided by 63 = 58.7301..... which you can round up to 59%

Answer:

right triangle

Step-by-step explanation:

hope that helps!

Answer:

2840

Step-by-step explanation:

200+100+600+200+300+1440=

Answer:

x greater than or equal to 3

x greater than or equal to -8/3

Step-by-step explanation:

Answer:

5 degrees Fahrenheit.

Step-by-step explanation:

The temperature shows -5 degrees Fahrenheit. The opposite of a negative number is a positive number, so the opposite of the temperature is 5 degrees.

Answer:

statement two is CG=AD statement 4 is ADE = CGF

Step-by-step explanation:

I got it right on khan

statement 2 is option 2, statement 4 is option 1

Cg=AD,    CGF

Congruent triangles are exact same triangles, but they might be placed at different positions. The correct option is ΔADC≅ΔECD.

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]

(|AB| denotes the length of line segment AB, and so on for others).

For the given proof, the third blank space can be filled with ΔADC≅ΔECD. This is because the two triangles have the same sides as shown below,

AD ≅ ED

AC ≅ EC

CD ≅ DC (Given)

Hence, the correct option is ΔADC≅ΔECD.

Learn more about congruent triangles here:

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Answer:

2

Step-by-step explanation:

2÷5=0.4

0.4×5=2

I used a calculator

Answer:

2

Step-by-step explanation:

−5×(−2/5)

BODMAS

=-5×-⅖

5×⅖

5 can divide 5

Therefore the answer is 2

We can also think of this problem as f(x) + g(x). Therefore, all we need to do is add the two functions together.

x + 4 + 3x^2 - 8 || Write it out!

3x^2 + x + 4 - 8 || Rearrange in order of decreasing exponents. No need to combine and rearrange all at once!

3x^2 + x - 4 || Combine like terms!

Hope this helps!! :)

Answer:

12

Step-by-step explanation:

Answer:

b = -34

Step-by-step explanation:

Use " ^ " to indicate exponentiation:  

( 4x - 2 ) ( x + 9 ) - 3x = ax^2 + bx + c

Perform the indicated multiplication:

4x^2 + 36x - 2x - 18 - 3x becomes

4x^2 - 34x - 18                so b = -34

Answer:

b=31 in [tex]ax^2+bx+c[/tex]

Step-by-step explanation:

Hi there!

[tex]( 4x - 2 ) ( x + 9 ) - 3x[/tex]

Our goal is to expand this equation and put it in the form [tex]ax^2+bx+c[/tex]. Firstly, multiply the first two binomials (in the parentheses):

[tex]= 4x(x+9)-2(x+9)-3x\\= 4x^2+36x-2(x+9)-3x\\= 4x^2+36x-2x-18-3x[/tex]

Now, we can combine like terms (terms with like variables):

[tex]= 4x^2+36x-2x-3x-18\\= 4x^2+31x-18[/tex]

Now, in this equation, we can easily identify that 31 is the value of b in [tex]ax^2+bx+c[/tex].

I hope this helps!

Answer:

The median, mode, and interquartile range have nothing to do with the total weight.The total weight is the mean, multiplied by the number of people.

Step-by-step explanation:

===============================================================

Explanation:

There are three approaches we can take. Each approach uses a different column (sine, cosine, or tangent).

Let's go with the sine column. The sine ratio is opposite/hypotenuse.

For reference angle theta, the opposite sides is 8 meters. The hypotenuse is 12.5 meters. Dividing the two values gets us

opposite/hypotenuse = 8/12.5 = 0.64

While focusing on the sine column, we see that 0.64 isn't in there; however the value 0.6428 is fairly close to it. There's expected to be roundoff error somewhere. That value corresponds to theta = 40.

That must mean sin(40) = 0.6428 approximately is fairly close to 8/12.5 = 0.64

Or put another way,

sin(40) = 8/12.5 approximately

Answer:

the answer for the first is 22°

the answer for the second is 83°

Answer:

Step-by-step explanation:

1.

The sum of all the interior angles of a triangle is equal to 180°. So, 90°+29°+(39°+x) = 180°.

2.

For the triangle on the right, the measure of 1 angle is not given. To find that out, make use of the angle in 112°: 180°-112° = 68°.

Then, we are able to find x by angle sum of triangles.

68°+29°+x = 180°.

Answer:

Easy peasy, the volume is 24!

3 x 4 ÷ 2 = 6

3 x 4 ÷ 2 = 6.

6 x 3 = 18.

18+ 6 = 24

Answer:

it is 24 24ft³

Step-by-step explanation:

it is also correct on illuminate