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3 years ago

A coin is tossed 4 times. Which of the following represents the probability of the coin landing on heads all 4 times?

Mathematics

1 answer:

galben [10]3 years ago

5 0

Answer:

C.1/16

Step-by-step explanation:

When a coin is tossed 4 times, the number of outcomes are:

2^4 = 16

So,

From the outcomes, only one outcome will be when there will be all heads

So, the probability will be:

One out of the 16 outcomes

Hence, the probability of a coin landing on heads all 4 times is:

C.1/16

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Use the formula to evaluate the series 1+2+4+8+...a10

valina [46]

Answer:

The sum of the given series is 1023

Step-by-step explanation:

Geometric series states that a series in which a constant ratio is obtained by multiplying the previous term.

Sum of the geometric series is given by:

$S_n = \frac{a(1-r^n)}{1-r}$

where a is the first term and n is the number of term.

Given the series: $1+2+4+8+.................+a_{10}$

This is a geometric series with common ratio(r) = 2

We have to find the sum of the series for 10th term.

⇒ n = 10 and a = 1

then;

$S_n = \frac{1(1-2^{10})}{1-2} =\frac{1-1024}{-1} =\frac{-1023}{-1}=1023$

Therefore, the sum of the given series is 1023

8 0

3 years ago

For a group of 100 people, compute(a) the expected number of days of the year that are birthdays of exactly 3 people.(b) the exp

Scilla [17]

Answer:

Step-by-step explanation:

Leaving leap years, a year contains 365 days.

For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

$\frac{1}{365}$

a) Probability that exactly 3 people have same birthday = $\frac{1}{365^3}$

Each day is independent of the other

And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p = $\frac{1}{365^3}$

Expected value of days = np = $\frac{1}{365^2}$

b) Distinct birthdays is binomail with p =1/365 and n = 365

Hence

expected value = np =1

4 0

4 years ago

The perimeter of a rectangular painting is 310 centimeters. If the width of the painting is 64 centimeters, what is its length?

OlgaM077 [116]

The length of the painting is 91 centimeters.

4 0

3 years ago

The measure of angle O is 7pi/6. The measure of its reference angle is.... ° and sin O is .....

scoray [572]

$\frac{7 \pi }{6}$ is in the 3rd quadrant... (It is also 210 degrees)
To find the reference angle (which is the distance to the x-axis)
$\frac{7 \pi }{6} - \pi = \frac{ \pi }{6}$ (or 30 degrees)

sin $\frac{ \pi }{6} = \frac{1}{2}$

6 0

3 years ago

Write the equation of the line in slope-intercept form for the graph given.

Anuta_ua [19.1K]

Answer:

5:8

Step-by-step explanation:

8 0

3 years ago