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3 years ago

A fair coin is flipped 10 times and the results are observed. The coin lands heads-side up 4 times.

Mathematics

2 answers:

Vedmedyk [2.9K]3 years ago

5 0

Answer:

The experimental probability of the coin landing tails-side up is 60%.

Step-by-step explanation:

The probability of it landing heads up is 4/10. You can use 4/10 to find how many times it landed on tails.

10/10 - 4/10= 6/10 now convert 6/10 into a percentage, 60/100=60%

stich3 [128]3 years ago

4 0

Answer: 0.6

Step-by-step explanation:

Given : the total number of times a fair coin flipped = 10

The total number faces on a fair coin (Tail/head)=2

Since, the number of times coin lands heads-side up=4

Then , the number of times coin lands on tails = 10-4=6

Now, the experimental probability of the coin landing tails-side up will be :-

$\text{P(Tail)}=\dfrac{\text{Number of times coin lands on tails}}{\text{Total number of times coin flipped}}\\\\=\dfrac{6}{10}=0.6$

Hence, the experimental probability of the coin landing tails-side up = 0.6

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In triangle ABC, angle = 90 degrees. AC = 7, BC = 12. AB = _______ Measure of angle A = _______ Measure of angle B = _______

Ulleksa [173]

Answer:

AB = 13.89

Measure of angle A = 59.74°

Measure of angle B = 30.26°

Step-by-step explanation:

The given parameters are;

∠C = 90°

AC = 7

BC = 12

Part 1

Hence, the question has the dimensions of the two adjacent sides of the right angle (angle 90°)

From Pythagoras theorem, we have;

A² = B² + C²

Where, A is the opposite side to the right angle, hence;

In the ΔABC,

AB ≡ A

Therefore;

AB² = AC² + BC² = 7² + 12² = 193

∴ AB = √193 = 13.89

Part 2

∠A is the side opposite side BC such that by trigonometric ratios

$tan \angle A = \frac{Opposite \, side \, to \, angle \, A}{Adjacent \, side \, to \, angle \, A} = \frac{BC}{AC} = \frac{12}{7} = 1.714$

∴ ∠A = Arctan(1.714) or tan⁻¹(1.714) = 59.74°

Part 3

∠B is found from knowing that the sum of the angles in a triangle = 180°

∴ ∠A + ∠B + ∠C = 180° which gives

59.74° + 90° + ∠B = 180°

Hence, ∠B = 180° - (59.74° + 90°) = 180° - 149.74° = 30.26°.

7 0

3 years ago

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HELP ASAP PLEASE!11!

vlabodo [156]

Answer:

Answer is 4

Step-by-step explanation:

8+(3x4) = (2x2) + (4x4)

8+12 = 4+16

20=20

3 0

3 years ago

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2 If = X – 1= 4, then x = x – , 3

GalinKa [24]

Answer:

X=15/2

Step-by-step explanation:

hope it helps you

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3 0

3 years ago

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30 points!! What is the sum of the first six terms of the series? 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

5 0

3 years ago

A diamond ring increases in value at a rate of 5% per year. If the ring was purchased for $1200, which equation would calculate

Margarita [4]

Answer:

A - y = 1200(1+.05)^30

Step-by-step explanation:

In this case, you need to calculate the future value and the formula to calculate that is:

FV=PV*(1+r)^n

FV=future value

PV=present value

r=rate

n=number of periods of time

The present value would be the price of the ring which is $1200. The rate is 5% per year and the number of periods of time is 30 years since you need to find the ring's worth in 30 years. Now, you can replace the values on the formula:

FV=1200*(1+0.05)^30

According to this, the answer is that the equation to calculate how much will it be worth in 30 years is: y = 1200(1+.05)^30.

8 0

3 years ago