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4 years ago

Explain whyyy????????

Mathematics

2 answers:

bixtya [17]4 years ago

7 0

I think the answer for this question is B

qwelly [4]4 years ago

5 0

These linear functions are in the form: y = ax + b

Plugging in any value of x will give you the value of y, and vice-versa.

The grid says that when x = 0, y = 1.35. And also, when x = 22.5, y = 0.

So you can eliminate half of the possibilities by plugging x = 0 in all the equations.

When x = 0, y = ax + b is simply y = b. So only A. and B. make sense so far.

When y = 0, y = ax + b is simplifies to 0 = ax + b which simplifies to ax = -b. By plugging x = 22.5, you should be able to deduce which of the answers is right. I can confirm if you'd like

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A binomial distribution has p = 0.05 and n = 50. what is the mean of this distribution?

Kruka [31]

2.5 is the mean of this distribution.

What is the distribution's mean?

The expected value, commonly known as the mean of a statistical distribution with a continuous random variable, is calculated by integrating the product of the variable's probability as described by the distribution.
The lowercase Greek letter mu () stands for the expected value. A probability of 50% equals zero standard deviations, and the mean is in the middle of the normal distribution.

Given: p = 0.05 and n= 50

Mean of the binomial distribution = n×p = 50 × 0.05 = 2.5

Therefore, option a is the correct answer. Other options are incorrect because these are irrelevant.

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3 years ago

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3 years ago

Suppose that θ is an acute angle of a right triangle and that sec(θ)=52. Find cos(θ) and csc(θ).

insens350 [35]

Answer:

$\cos{\theta} = \dfrac{1}{52}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

Step-by-step explanation:

To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.

a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

$\sec{\theta} = \dfrac{1}{\cos{\theta}}$

we can substitute the value of sec(θ) in this equation:

$52 = \dfrac{1}{\cos{\theta}}$

and solve for for cos(θ)

$\cos{\theta} = \dfrac{1}{52}$

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by $\theta = \arccos{\left(\dfrac{1}{52}\right)} = 88.8^\circ$