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3 years ago

Please help I took a screenshot of the question

Mathematics

2 answers:

Ymorist [56]3 years ago

8 0

I don’t understand what the question is telling me

natulia [17]3 years ago

8 0

Answer:

$\displaystyle \frac{\cos A}{\cos B}=1$

Step-by-step explanation:

<u>Trigonometric Ratios</u>

The relations between the sides of a right triangle and the angles are called trigonometric ratios.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The cosine is defined as:

$\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}$

Considering angle A, we have:

$\displaystyle \cos A=\frac{3}{4.24}$

Considering angle B:

$\displaystyle \cos B=\frac{3}{4.24}$

Both expressions are exactly the same, thus:

$\displaystyle \frac{\cos A}{\cos B}=1$

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How much longer is a 1-inch button than 3/8- inch button?

tankabanditka [31]

1 inch is the same as 8/8
Use this to solve
8/8 - 3/8 = 5/8
The 1 inch button is 5/8 longer than the other button. Hope this helps!

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2 years ago

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yan [13]

Answer:

The correct answer is 756÷10^2=7.56

Step-by-step explanation:

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3 years ago

cam hits the bullseye in 8 darts out of 15 throws. what is the experimental probability that came next throws will hit the bulls

Zigmanuir [339]

Answer:

A darts player practices throwing a dart at the bull’s eye on a dart board. Her probability of hitting the bull’s eye for each throw is 0.2.

(a) Find the probability that she is successful for the first time on the third throw:

The number F of unsuccessful throws till the first bull’s eye follows a geometric

distribution with probability of success q = 0.2 and probability of failure p = 0.8.

If the first bull’s eye is on the third throw, there must be two failures:

P(F = 2) = p

q = (0.8)2

(0.2) = 0.128.

(b) Find the probability that she will have at least three failures before her first

success.

We want the probability of F ≥ 3. This can be found in two ways:

P(F ≥ 3) = P(F = 3) + P(F = 4) + P(F = 5) + P(F = 6) + . . .

= p

q + p

q + . . . (geometric series with ratio p)

1 − p

(0.8)3

(0.2)

1 − 0.8

= (0.8)3 = 0.512.

Alternatively,

P(F ≥ 3) = 1 − (P(F = 0) + P(F = 1) + P(F = 2))

= 1 − (q + pq + p

= 1 − (0.2)(1 + 0.8 + (0.8)2

)

= 1 − 0.488 = 0.512.

Since p = 0.8 and q = 0.2, the expected number of failures before the first success

E[F] = p

0.8

0.2

= 4.

7 0

3 years ago

Read 2 more answers

A tennis player makes a successful first serve 51% of the time. If she serves 9 times, what is the probability that she gets exa

aleksley [76]

Answer:

$P(X=3)$

And we can use the probability mas function and we got:

$P(X=3)=(9C3)(0.51)^3 (1-0.51)^{9-3}=0.1542$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=9, p=0.51)$