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True [87]
3 years ago
6

What is the value of 6*1-3^2*9+4^3

Mathematics
1 answer:
luda_lava [24]3 years ago
7 0

6 \times 1 - 3 {}^{2}  \times 9 + 4 {}^{3}  =  - 11
This problem have a little bit confused but I hope this helps
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A farm stand sells apples pies and jars of applesauce. The table shows the number of apples needed to
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IF I am correct, 5

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A amusement park charges $35.50 for admission. On Saturday, 3,247 people visited the park. On Sunday, 3,542 people visited the p
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$241009.50

Step-by-step explanation:

35.50*3247=115268.50

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                     241009.5

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James made $85.00 in 2 weeks mowing yards. He spent 20% of that buying new tools. How much did he spend on tools? *
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2 years ago
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Which side lengths form a right triangle 4, 8, 12
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7 0
3 years ago
4. A small high school holds its graduation ceremony in the gym. Because of seating constraints, students are limited to a maxim
Ad libitum [116K]

Answer:

(a) The mean and standard deviation of <em>X</em> is 2.6 and 1.2 respectively.

(b) The mean and standard deviation of <em>T</em> are 390 and 180 respectively.

(c) The distribution of <em>T</em> is <em>N</em> (390, 180²). The probability that all students’ requests can be accommodated is 0.7291.

Step-by-step explanation:

(a)

The random variable <em>X</em> is defined as the number of tickets requested by a randomly selected graduating student.

The probability distribution of the number of tickets wanted by the students for the graduation ceremony is as follows:

X      P (X)

0      0.05

1       0.15

2      0.25

3      0.25

4      0.30

The formula to compute the mean is:

\mu=\sum x\cdot P(X)

Compute the mean number of tickets requested by a student as follows:

\mu=\sum x\cdot P(X)\\=(0\times 0.05)+(1\times 0.15)+(2\times 0.25)+(3\times 0.25)+(4\times 0.30)\\=2.6

The formula of standard deviation of the number of tickets requested by a student as follows:

\sigma=\sqrt{E(X^{2})-\mu^{2}}

Compute the standard deviation as follows:

\sigma=\sqrt{E(X^{2})-\mu^{2}}\\=\sqrt{[(0^{2}\times 0.05)+(1^{2}\times 0.15)+(2^{2}\times 0.25)+(3^{2}\times 0.25)+(4^{2}\times 0.30)]-(2.6)^{2}}\\=\sqrt{1.44}\\=1.2

Thus, the mean and standard deviation of <em>X</em> is 2.6 and 1.2 respectively.

(b)

The random variable <em>T</em> is defined as the total number of tickets requested by the 150 students graduating this year.

That is, <em>T</em> = 150 <em>X</em>

Compute the mean of <em>T</em> as follows:

\mu=E(T)\\=E(150\cdot X)\\=150\times E(X)\\=150\times 2.6\\=390

Compute the standard deviation of <em>T</em> as follows:

\sigma=SD(T)\\=SD(150\cdot X)\\=\sqrt{V(150\cdot X)}\\=\sqrt{150^{2}}\times SD(X)\\=150\times 1.2\\=180

Thus, the mean and standard deviation of <em>T</em> are 390 and 180 respectively.

(c)

The maximum number of seats at the gym is, 500.

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.  

Here <em>T</em> = total number of seats requested.

Then, the mean of the distribution of the sum of values of X is given by,  

\mu_{T}=n\times \mu_{X}=390  

And the standard deviation of the distribution of the sum of values of X is given by,  

\sigma_{T}=n\times \sigma_{X}=180

So, the distribution of <em>T</em> is N (390, 180²).

Compute the probability that all students’ requests can be accommodated, i.e. less than 500 seats were requested as follows:

P(T

Thus, the probability that all students’ requests can be accommodated is 0.7291.

8 0
3 years ago
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