Which system is equivalent to

4. Entry to a certain University is determined by a national test. The scores on this test are normally distributed with a mean

Karo-lina-s [1.5K]

Answer:

Yes, Tom must be admitted to this university.

Step-by-step explanation:

We are given that the scores on national test are normally distributed with a mean of 500 and a standard deviation of 100.

Also, we are provided with the condition that Tom wants to be admitted to this university and he knows that he must score better than at least 70% of the students who took the test.

Let, X = score in national test, so X ~ N( $\mu=500 , \sigma^{2} = 100^{2}$ )

The standard normal z distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

Now, z score of probability that tom scores 585 is;

Z = $\frac{585-500}{100}$ = 0.85

Now, proportion of students scoring below 85% marks is given by;

P(Z < 0.85) = 0.80234

This shows that Tom scored 80.23% of the students who took test while he just have to score more than 70%.

So, it means that Tom must be admitted to this university.

4 0

4 years ago

Someone help find the value of these music notes !!!

Elodia [21]

Answer:

See below

Step-by-step explanation:

1) 4/16 + 1/4 = 1/4 + 1/4 = 2/4 = 1/2 note

2) 4/16 + 2/8 = 1/4 + 1/4 = 2/4 = 1/2 note

3) 1/16 + 1/8 = 1/16 + 2/16 = 3/16 note (sixteenth note with a dot)

4) 1/4 + 1/16 = 4/16 + 1/16 = 5/16 note (sixteenth note with 2 dots)

5) 1/4 + 2/16 = 4/16 + 2/16 = 6/16 = 3/8 note (eighth note with dot)

6) (1/8+1/16)+1/8 = 2/8 + 4/16 = 4/16 + 4/16 = 8/16 = 1/2 note

7) 2/8 + 1/16 = 4/16 + 1/16 = 5/16 note (sixteenth note with 2 dots)

8) 2/16 + 2/16 = 4/16 = 1/4 note

9) (2/16+1/8)+1/4 = 2/16+2/16+4/16 = 8/16 = 1/2 note

10) 1/16 + 1/16 = 2/16 = 1/8 note

11) 1/16 + 1/8 = 1/16 + 2/16 = 3/16 note (sixteenth note with a dot)

12) 1/4 + 1/16 = 4/16 + 1/16 = 5/16 note (sixteenth note with 2 dots)

13) 1/4 + 2/16 = 4/16 + 2/16 = 6/16 = 3/8 note (eighth note with dot)

14) (1/8+1/16)+1/8 = 2/8 + 4/16 = 4/16 + 4/16 = 8/16 = 1/2 note

15) 4/16 + 1/4 = 1/4 + 1/4 = 2/4 = 1/2 note

16) 4/16 + 2/8 = 1/4 + 1/4 = 2/4 = 1/2 note

17) (2/16+1/8)+1/4 = 2/16+2/16+4/16 = 8/16 = 1/2 note

18) 1/16 + 1/16 = 2/16 = 1/8 note

19) 2/8 + 1/16 = 4/16 + 1/16 = 5/16 note (sixteenth note with 2 dots)

20) 2/16 + 2/16 = 4/16 = 1/4 note

21) (1/8+1/16)+1/8 = 2/8 + 4/16 = 4/16 + 4/16 = 8/16 = 1/2 note

22) 4/16 + 1/4 = 1/4 + 1/4 = 2/4 = 1/2 note

23) 4/16 + 2/8 = 1/4 + 1/4 = 2/4 = 1/2 note

24) (2/16+1/8)+1/4 = 2/16+2/16+4/16 = 8/16 = 1/2 note

25) 1/16 + 1/16 = 2/16 = 1/8 note

26) 2/8 + 1/16 = 4/16 + 1/16 = 5/16 note (sixteenth note with 2 dots)

27) 2/16 + 2/16 = 4/16 = 1/4 note

28) 1/16 + 1/8 = 1/16 + 2/16 = 3/16 note (sixteenth note with dot)

29) 1/4 + 1/16 = 4/16 + 1/16 = 5/16 note (sixteenth note with 2 dots)

30) 1/4 + 2/16 = 4/16 + 2/16 = 6/16 = 3/8 (eighth note with dot)

Bonus Question:

1/4 + 1/8 + 1/8 + 1/4 + 1/16 + 2/8 + 1/16 + 1/4 + 1/16 + (2/16+1/8) = 4/16 + 2/16 + 2/16 + 4/16 + 4/16 + 1/16 + 4/16 + 1/16 + 2/16 + 2/16 = 26/16 = 13/8 (whole note with dot tied with eighth note with 2 dots)

5 0

3 years ago

When dante was born, his grandparents deposited $10,000 into a special college fund that paid 4% annual interest, compounded mon

RSB [31]

Using compound interest, it is found that Dante was 6.6 years old when the balance in the account reached $13,000.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

In which:

A(t) is the amount of money after t years.

P is the principal(the initial sum of money).

r is the interest rate(as a decimal value).

n is the number of times that interest is compounded per year.

In this problem, we have that the parameters are given as follows:

A(t) = 13000, A(0) = 10000, r = 0.04, n = 12.

Hence the time in years is found as follows:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

$13000 = 10000\left(1 + \frac{0.04}{12}\right)^{12t}$

$(1.0033)^{12t} = 1.3$

$\log{(1.0033)^{12t}} = \log{1.3}$

$12t\log{1.0033} = \log{1.3}$

$t = \frac{\log{1.3}}{12\log{1.0033}}$

t = 6.6

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

5 0

2 years ago

Which equation matches the graph shown?

castortr0y [4]

The correct option that matches the graph is option A.

Graph is a fine representation of a network and it describes the relationship between lines and points. The length of the lines and position of the points don't count. Each object in a graph is called a knot.

The four introductory graphs used in statistics include bar, line, histogram and pie maps. The description of a graph is a illustration showing the connections between two or further effects. An illustration of graph is a pie map. noun. A wind or line showing a fine function or equation, generally drawn in a Cartesian match system.

Since it is upside down, it is the one with the negative sign in front of the x. The numbers will continue to increase in the negatives.

$v=x^2-2x+1$

Hence, the equation on option A matches the graph.

Learn more about graph here:

brainly.com/question/4025726

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4 0

2 years ago

Which situations can be simulated using this spinner? Select three options.

Greeley [361]

Answer:

What are the options?

Step-by-step explanation:

6 0

3 years ago