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2 years ago

Evaluate. 45 + 22 ÷ 11 • {[(60 – 15) • 60] + 25}

Mathematics

1 answer:

jeka57 [31]2 years ago

3 0

Use BEDMAS

B-brackets

E-exponents

DM-multiply or divide (left to right)

AS-add subtract (left to right)

$45+22\div11\cdot\{(60-15)\cdot60]+25\}=45+2\cdot[(45\cdot60)+25] \\\\=45+2\cdot(2,700+25)=45+2\cdot2,725=45+5,450=5,495$

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Let X be a Bernoulli rv with pmf as in Example 3.18. a. Compute E(X2 ). b. Show that V(X) 5 p(1 2 p). c. Compute E(X79).

spayn [35]

The Bernoulli distribution is a distribution whose random variable can only take 0 or 1

The value of E(x2) is p
The value of V(x) is p(1 - p)
The value of E(x79) is p

<h3>How to compute E(x2)</h3>

The distribution is given as:

p(0) = 1 - p

p(1) = p

The expected value of x2, E(x2) is calculated as:

$E(x^2) = \sum x^2 * P(x)$

So, we have:

$E(x^2) = 0^2 * (1- p) + 1^2 * p$

Evaluate the exponents

$E(x^2) = 0 * (1- p) + 1 * p$

Multiply

$E(x^2) = 0 +p$

Add

$E(x^2) = p$

Hence, the value of E(x2) is p

<h3>How to compute V(x)</h3>

This is calculated as:

$V(x) = E(x^2) - (E(x))^2$

Start by calculating E(x) using:

$E(x) = \sum x * P(x)$

So, we have:

$E(x) = 0 * (1- p) + 1 * p$

$E(x) = p$

Recall that:

$V(x) = E(x^2) - (E(x))^2$

So, we have:

$V(x) = p - p^2$

Factor out p

$V(x) = p(1 - p)$

Hence, the value of V(x) is p(1 - p)

<h3>How to compute E(x79)</h3>

The expected value of x79, E(x79) is calculated as:

$E(x^{79}) = \sum x^{79} * P(x)$

So, we have:

$E(x^{79}) = 0^{79} * (1- p) + 1^{79} * p$

Evaluate the exponents

$E(x^{79}) = 0 * (1- p) + 1 * p$

Multiply

$E(x^{79}) = 0 + p$

Add

$E(x^{79}) = p$

Hence, the value of E(x79) is p

Read more about probability distribution at:

brainly.com/question/15246027

5 0

2 years ago

Earth’s surface is approximately 70% water. There is no water on the surface of Mars, and its diameter is roughly

Pie

Answer:

Earth

Step-by-step explanation:

You don't need scientific notation.

The areas of similar figures are proportional to the square of their linear scale factor. If Mars is 1/2 the diameter of Earth, its total surface area is (1/2)² = 1/4 that of Earth.

That is, the land area of Mars is 25% of the total area of Earth.

The land area of Earth is 1-70% = 30% of the total area of Earth. 30% is more than 25%.

Earth has more land area than Mars.

8 0

3 years ago

My soccer team has 16 players. I have to choose a starting lineup of a goalie and 10 regular players (the regular players are in

ASHA 777 [7]

Answer:

3003

Step-by-step explanation:

We want to find out how many ways we can choose 10 players among 15 players (since the goalie is not interchangeable)

The number of different lineups you can have can be found by using combination:

$^{15}C_{10} = \frac{15!}{(15 - 10)! 10!}\\ \\= \frac{15!}{5! * 10!} \\\\= 3003$

There are 3003 different lineups that can be chosen.

6 0

3 years ago

The original rectangle has a perimeter of 16

Serjik [45]

12.4 / 6.2 = 2

SF = 2

The original rectangle has a perimeter of 16

Perimeter of the enlarged rectangle = 16 x 2 = 32

Answer: 32 feet

6 0

3 years ago

Read 2 more answers

3/5y=-7/25 solve for y

eimsori [14]

Y= -7/15
Hope this is good enough :D

8 0

2 years ago