A boat has a top speed of 4949 knots (nautical miles per hour). what is this speed in miles per hour?

Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible c

lutik1710 [3]

Answer:

Tamara should expect the sum of the two cubes to be equal to 5 20 times.

Step-by-step explanation:

The sample space of rolling a number cube are:

S = {1, 2, 3, 4, 5, 6}

If two such cubes are rolled together, then the sum of the two cubes will be 5 for the combinations below:

S₁ = {(1, 4), (2, 3), (3, 2) and (4, 1)}

The total number of outcomes will be, N = 36.

Compute the probability that the sum of rolling two numbered cubes as follows:

$P(\text{Sum}=5)=\frac{4}{36}=\frac{1}{9}$

Let X = number of time the sum of the two numbers on two cubes is 5.

Two numbered cubes are rolled n = 180 times.

The event of getting a sum of 5 in independent of the other results.

The random variable X follows a Binomial distribution with parameters n = 180 and p = $\frac{1}{9}$ .

The expected value of X is:

$E(X)=np$

Compute the expected number of times Tamara expects the sum of the two cubes to be equal to 5 as follow:

$E(X)=np\\=180\times \frac{1}{9}\\=20$

Thus, Tamara should expect the sum of the two cubes to be equal to 5 20 times.

8 0

3 years ago

part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.

Nat2105 [25]

Answer: $\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}$

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse

$9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}$

Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12

$10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}$

Note: 12² + opposite² = 20² → opposite = 16

$11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}$

Note: adjacent² + 5² = 6² → adjacent = √11

$12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}$

Note: adjacent² + 7² = (13√2)² → adjacent = 17

5 0

3 years ago

What are the steps in solving word problems involving multiplication of simple

wariber [46]

Answer:

See explanation

Step-by-step explanation:

For every question that comes your way, the first step is to understand the question.

The next, is to convert the word problems into algebraic expressions.

Lastly, you solve the expression accordingly.

Take for instance.

Ade has half a dozen eggs. How many dozen does Ade have?

We understand that; half means ½ and a dozen means 12.

So, the expression is

½ * 12 = 6 eggs

4 0

3 years ago

2 4/5 divided by 2/3

daser333 [38]

Answer:

4.2 cuz yeah

Yeet :)

5 0

3 years ago

Read 2 more answers

Describe how you can use the make a ten strategy to find the sum 7+9

kondor19780726 [428]

I don't quite understand the ten strategy, or what EXACTLY you're asking. But, what you can do is when you add a one digit number plus a nine, just change the nine to a ten and subtract one. It is very easy. So, 7+10 equals 17, subtract one and you get 16 which is 7+9. It is always one less than anything plus 10.

3 0

3 years ago

A boat has a top speed of 4949 knots​ (nautical miles per​ hour). what is this speed in miles per​ hour?

A boat has a top speed of 4949 knots (nautical miles per hour). what is this speed in miles per hour?