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3 years ago

Vincent flipped three coins during a probability experiment. The outcomes of the first 40 trials are shown in the table.

Mathematics

2 answers:

Ilya [14]3 years ago

6 0

Answer:

Step-by-step explanation:

There are 40 trials, 16 out of those 40 trials resulted in two heads and one tail, which is what we are trying to find out of 120..

To do that, find 16/40 which gives you 0.4%

Next multiply 0.4% by 120 and you will get 48.

Hope this helped!

mr_godi [17]3 years ago

5 0

Answer:

Step-by-step explanation:

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HELP THIS IS TRIGONOMETRY OR GEOMETRY!!!

Dmitry_Shevchenko [17]

Answer: PR=14.5.

Step-by-step explanation:

1. If the area of PQR is 50, then (QR*PQ)/2=50, so QR*PQ=100 (the area of a triangle is the base*height/2).

2, The tangent of an angle is (the opposite side)/(the adjacent side). So, the tangent of angle P=QR/PQ. Angle P is 36 degrees, and the tangent of 36 degrees is 0.726542528. We can substitute this into the equation we found to get 0.726542528=QR/PQ.

3. Using the equations we found in Steps 1 and 2, we can create a system of equations:

$\left \{ {{QR*PQ=100} \atop {QR/PQ=0.726542528}} \right.$

We can solve this system of equations to get PQ=11.7319 and QR=8.52375.

4. Using Pythagorean theorem, we can say that PR^2=QR^2+PQ^2. If we substitute the values of PQ and QR into the equation, we can come to the conclusion that PR=14.5014410206, which simplifies to PR=14.5.

6 0

3 years ago

Read 2 more answers

1. Based on the information given, can you determine that the quadrilateral must be a

zhenek [66]

Solving Q1: Given BE = ED and AE = EC.

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

⇒ AD║BC (Converse of Alternate Interior angles theorem)

Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

⇒ AB║CD (Converse of Alternate Interior angles theorem)

Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

****************************************************************************************************

Solving Q2: The parallelogram has the angle measures shown in the diagram.

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

7 0

3 years ago

Please Assist Me With This

natka813 [3]

Answer:

(16 - 8 × 2 ÷ 4 + 6) ÷ 3 = 6

Step-by-step explanation:

The given expression is (16 - 8 × 2 ÷ 4 + 6) ÷ 3

We will solve this expression by using BODMAS rule,

B - Bracket (Parenthesis)

O - Order (exponents)

D - Division

M - Multiplication

A - Addition

S - Subtraction

(16 - $8^{1}$ × 2 ÷ 4 + 6) ÷ 3

We will solve the expression inside the parenthesis first followed up by the exponents,

(16 - $8^{1}$ × 2 ÷ 4 + 6)

= (16 - 8 × 2 ÷ 4 + 6)

Then Divide,

= (16 - 8 × $\frac{1}{2}$ + 6)

Then multiply,

= (16 - 4 + 6)

Further addition,

= (22 - 4 )

At last subtract,

= (18)

Now put the solution of the parentheses in the expression,

= (18) ÷ 3

= 6

Therefore, solution of the given expression will be 6.

7 0

3 years ago

Plz help ASAP WILL MARK BRAINLIEST

Scrat [10]

Answer:

$c = 3a - 2$

<h2>BRAINLIEST PLEASE ... :-)</h2>

4 0

4 years ago

Another way to write 20,000 tons

erastovalidia [21]

2 x 10 to the power of 4

3 0

4 years ago

Read 2 more answers