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3 years ago

John flips 10 coins and lays them out in a straight line.

Mathematics

1 answer:

belka [17]3 years ago

3 0

For every coin, two options are possible. The formula for calculting all possibilities is $p^{t}$ where p is possibilities per time and t is times.

Therefore, there are $2^{10}$ which is 1024 combinations.

The formula for calculating probability is $\frac{w}{t}$ where w is the ways to achieve the desired outcome, and t is the total outcomes possible.

Therefore, there is a $\frac{1}{1024}$ chance of flipping ten tails.

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In circle O, what is m∠MAJ? °

mr_godi [17]

See the attached figure.

m ∠KAJ = 170° & m ∠LAM = 80°

We should know that :

m ∠KAJ + m ∠LAM + m ∠KAL + m ∠MAJ = 360°

∴ m ∠KAL + m ∠MAJ = 360° - (m ∠KAJ + m ∠LAM)

∴ m ∠KAL + m ∠MAJ = 360° - (170°+80°) = 360° - 250° = 110°

But : m ∠KAL = m ∠MAJ ⇒⇒⇒ Opposite angles.

∴ m ∠MAJ + m ∠MAJ = 110°

∴ 2 * m ∠MAJ = 110°

∴ m ∠MAJ = 110° ÷ 2 = 55°

So, the answer is : m ∠MAJ = 55°

4 0

2 years ago

Question 12 With steps please

34kurt

$Answer:\ \boxed{5^2}$

$\sqrt[n]{a}=a^\frac{1}{n}\\\\\text{therefore}\\\\\sqrt5=5^\frac{1}{2}\\----------------\\25=5^2\\----------------\\78,125=5^7\\----------------\\\text{use}\\\\a^n\cdot a^m=a^{n+m}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\----------------\\\\\dfrac{\sqrt5\times78,125}{25\times5^{\frac{7}{2}}}=\dfrac{5^\frac{1}{2}\times5^7}{5^2\times5^\frac{7}{2}}=\dfrac{5^{\frac{1}{2}+7}}{5^{2+3\frac{1}{2}}}=\dfrac{5^{7\frac{1}{2}}}{5^{5\frac{1}{2}}}=5^{7\frac{1}{2}-5\frac{1}{2}}=\boxed{5^2}$

6 0

3 years ago

In triangle MNP, m = 5 cm, n = 4 cm, and p = 8 cm. Which formula can you use to find P?

charle [14.2K]

Answer:
8² = 4² + 5² - 2(4)(5) cos(P)
which is the third option

Explanation:
The general rule of cosine is:
a² = b² + c² - 2bc*cos(A)

In our triangle:
a is substituted by p = 8 cm
b is substituted by n = 4 cm
c is substituted by m = 5 cm
A is substituted by P which we want to find

Replace the variables in the general equation with the givens as follows:
p² = n² + m² - 2mn*cos(P)
8² = 4² + 5² - 2(4)(5) cos(P)

Hope this helps :)

4 0

3 years ago

Read 2 more answers

Maggie owes $500 and will make 4 payments. The first payment is 10% of the original amount, the second payment is 15% of the ori

Likurg_2 [28]

Answer:

last payment is 45% and is $225

Step-by-step explanation:

7 0

2 years ago

Please help!!!! 2 questions 50 points!!!!

Zielflug [23.3K]

Answer:

See below ~

Step-by-step explanation:

Question 1

The missing angles

Both the unknown angles have the same value as the other two angles in the triangles are the same
∠(missing) = 180 - (72 x 2)
∠(missing) = 180 - 144
∠(missing) = 36°

⇒ The sides are equal

⇒ Angles are not 90°

⇒ It is a rhombus

Question 2

The diagonals of the shape bisect other (Statement 1)
NY = NW (given)
XN = NZ (given)
∠XNY = ∠WXZ (vertically opposite angles)
ΔXNY ≅ ΔWXZ (SAS)
They form two congruent triangles (Statement 2)
From these two statements, it is evident the figure is a parallelogram

7 0

2 years ago