Solve the following equation then place the correct number in the box provided. X/3

Ready

ki77a [65]

Answer:

Step-by-step explanation:

I think it is a strangely worded question as they only refer to the larger gear turning.

I believe that this is what they are going for.

Number of teeth passing in each revolution

The Numbers match when the large gear turns two times as the smaller gear turns three times.

3 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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 105, p = 0.9$

So

$\mu = E(X) = np = 105*0.9 = 94.5$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{105*0.9*0.1} = 3.07$

What is the probability that everyone who appears for the flight will get a seat

100 or less people appearing to the flight, which is the pvalue of Z when X = 100. So

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

$Z = \frac{100 - 94.5}{3.07}$

$Z = 1.79$

$Z = 1.79$ has a pvalue of 0.9633

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

7 0

2 years ago

If each can costs $23.97 plus 6% tax, what is the total cost? Round to two decimal places.

kap26 [50]

The total cost for one can is: $25.41.
__________________________________________________
Let us assume that we want to know the total cost of ONE CAN.
_____________________________________________
To calculate our answer:
_______________________________
$ 23.97 + [ (6/100) * 23.97)] = Our answer, in dollars.
__________________________________________
Note: "6%" = 6/100 = 0.06
_______________________
Rewrite as:
____________
$ 23.97 + [ (6/100) * 23.97)] = our answer, in dollars;
_____________________________________________
$ 23.97 + (0.06 * 23.97)

= $ 23.97 + 1.4382

= $ 25.4082 ; Round to decimal places, to get:
<span>→ $ 25.41
</span>__________________________________________

4 0

3 years ago

andriy [413]

That is definitely true.

8 0

3 years ago

nicole is flying two kites. she has 104 feet of string out to one kite and 110 feet out to the other kite. the angle formed by t

tankabanditka [31]

Answer:

Step-by-step explanation:

Answer:

48.49 feet

Step-by-step explanation:

The diagrammatic sketch of the details given in the question was attached in the picture below.

From the picture below, the distance between the two kites is represented by (c) and can be calculated by using the cosine angle rule which is illustrated as:

$c^2 = a^2 + b^2 -2ab cos \ C$

where;

a = 110

b = 104

Cos C = 26°

Then;

$c^2 = 110^2 + 104^2 -2(110)(104) cos \ 26 \\ \\ c^2 = 12100 + 10816- 22880 ( 0.8988) \\ \\ c^2 = 22916- 20564.544 \\ \\ c^2 = 2351.456 \\ \\ c= \sqrt{2351.456} \\ \\ \mathbf{ c = 48.49 \ feet}$

8 0

3 years ago

Solve the following equation then place the correct number in the box provided. X/3 - 4 = 10