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3 years ago

The scale model of a skyscraper being built is 4.2 feet tall.

Mathematics

2 answers:

Tanya [424]3 years ago

6 0

Answer:

1 to 125

Step-by-step explanation:

in other words it is multiplied by 125

icang [17]3 years ago

6 0

Idk the answer but I need points sorry

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For each of the following binomial random variables, specify n and p. (a) A fair die is rolled 50 times. X = number of times a 5

Keith_Richards [23]

Answer:

a) $n = 50, p = \frac{1}{6}$

b) $n = 16, p = \frac{1}{100}$

c) $n = 26, p = 0.25, \mu = 6.5$

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $p$ is the probability of X happening.

(a) A fair die is rolled 50 times. X = number of times a 5 is rolled

The die is rolled 50 times, so $n = 50$ .

Each roll can have 6 outcomes. So the probability that 5 is rolled is $p = \frac{1}{6}$

(b) A company puts a game card in each box of cereal and 1/100 of them are winners. You buy sixteen boxes of cereal, and X = number of times you win.

You buy 16 boxes of cereal, so $n = 16$ .

1 of 100 are winners. So $p = \frac{1}{100}$ .

(c) Jack likes to play computer solitaire and wins about 25% of the time. X = number of games he wins out of his next 26 games.

He plays 26 games, so $n = 26$ .

He wins 25% of the time, so $p = 0.25$

We have that $\mu = np$ . So $\mu = 26*0.25 = 6.5$

6 0

3 years ago

The graph of F(x) can be flipped over a certain line to produce the graph of its inverse. What is the equation of that line?

OLEGan [10]

$y=x$
...................

3 0

3 years ago

Read 2 more answers

Find the area of the rug. DO NOT ROUND.<br><br> what is the area?

Mademuasel [1]

Answer:

$\frac{198}{7} \ \text{feet}^{2}$

<h3>Step-by-step explanation:</h3>

<u>Given:</u>

Diameter of rug = 6 feet

To find the area of the rug, we need to use the formula "πr² or π(D/2)²"

<u>Where:</u>

r = radius
d = diameter

Since we do not have the radius, we need to substitute the diameter in the formula "π(D/2)²" to determine the area of the rug.

⇒ $\pi (\frac{D}{2} )^{2}$

⇒ $\pi (\frac{6}{2} )^{2}$

⇒ $\pi (3 )^{2}$

⇒ $\pi (3 )(3)$

⇒ $9\pi$

Substituting "22/7" as π:

⇒ $9(\frac{22}{7} )$

⇒ $(\frac{198}{7} )$

When finding the area of ANY shape, do not forget to include the units.

⇒ $\frac{198}{7} \ \text{feet}^{2}$

4 0

2 years ago

Read 2 more answers

The mean temperature for the first 7 days in January was 6 degrees.The temperature on the 8 days was 10 degrees . What is the me

kolezko [41]

Answer: The mean temperature for the first eight days is 6.5 degrees

Step-by-step explanation: The most important piece of clue has been given which is the mean (average) for the observed data set, which is 7 days.

Note that the formula for the mean of a data set is derived as;

Mean = ∑x / f

Where ∑x is the summation of all observed data set and f is the number of data observed, that is 7. The formula now becomes;

6 = ∑x / 7

By cross multiplication, we now have,

6 * 7 = ∑x

42 = ∑x

This means the addition of all temperature observed on the first 7 days is 42. The temperature on the eighth day is now given as 10 degrees, this means the summation of all observed data for the first eight days would become 42 + 10 which equals 52. Therefore when calculating the mean for the first eight days, ∑x is now 52. The formula for the first eight days therefore is derived as follows;

Mean = ∑x / 8

Mean = 52 / 8

Mean = 6.5

The calculations therefore show that the mean temperature for the first eight days in January is 6.5 degrees

3 0

3 years ago

Solve *please show work* :)

Mashcka [7]

Answer:

E.200.5ft²

Step-by-step explanation:

To find the area of the composite figure we simply split it into two regular shapes, a half circle and a square, we then find the area of the two shapes individually and add them together.

Area of square = s² where s = side length

It appears the given side length is 12 so s = 12

Which means area = 12² = 144ft²

For semi circle

Area = 1/2(πr² ), where r is the radius

The side length of the square is shared with the diameter of the semi circle meaning that the diameter of the semi circle is 12

To convert to radius from diameter we simply divide by 2 so r = 12/2 = 6

We have area = 1/2(πr² ) and r = 6

So area = 1/2(π6²)

==> evaluate exponent

Area = 1/2(36π)

==> take one half of 36

Area = 18π

==> multiply 18 and π

Area = about 56.5

Finally we add the two areas together

Total area = 56.5 + 144 = 200.5ft²

4 0

2 years ago