All categories

2 years ago

Which model represents the expression

Mathematics

1 answer:

NARA [144]2 years ago

6 0

Answer:

Step-by-step explanation:

Because you add a denominator of 1 to the whole number and just multiply over and you get 6/8

You might be interested in

20 POINTS PLEASE HELP!!!!!!!

Stolb23 [73]

Answer is y = 3sin2(x - pi/4).

7 0

3 years ago

AB = 10 in; AD = 6 in A= 30sqrt3 in2 30 in2 60 in2

Ratling [72]

Answer: 30

Step-by-step explanation:

If we were to draw diagonal BD, then we would create two congruent triangles, and we could find the area of each using the formula $A=\frac{1}{2} ab \sin C$ .

However, since there are two triangles, we can double this, giving us $A=ab \sin C$ .

So, the area is $A=(10)(6)(\sin 30^{\circ})=\boxed{30}$

8 0

2 years ago

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Nat2105 [25]

Answer:

Step-by-step explanation:

First choose two points on the line,

Let the points are A and B.

From point A to B we are moving downwards by (5 - 1 = 4 units)

Therefore, Rise = -4

Horizontal distance between A and B = 2 units

Therefore, Run = 2

Since, slope of a line = $\frac{\text{Rise}}{\text{Run}}$

Slope = $\frac{-4}{2}$

= -2

7 0

2 years ago

An airplane has 100 seats for passengers. Assume that the probability that a person holding a ticket appears for the flight is 0

zmey [24]

Answer:

96.33% probability that everyone who appears for the flight will get a seat

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .