MATHEMATICS COLLEGE

Miko has a vast collection of books in her library. English books make up 3
8
of her collection.
5
7
of the remaining books are Chinese books and the rest are German books. How many books are there in her book collection if there are 75 Chinese books?

Answers

Answer 1

Answer:

There are 168 books are there in her book collection if there are 75 Chinese books.

Given

Miko has a vast collection of books in her library.

English books = 3/8

Chinese books = 5/7.

Ratio proportion;

A ratio is a comparison of two or more numbers that indicates their quantities in relation to each other.

The proportion of the English books is 3/8, the remaining is:

$\rm Remaining\ books=1-(3)/(8)\n \n Remaining\ books=(8-3)/(8)\n\n Remaining\ books=(5)/(8)$

Then,

Chines books = ratio of Chinese book × ratio of remaining books × Total books

$\rm 75=(5)/(7)* (5)/(8)* Total \ books\n\nTotal \ books =(75 * 7* 8)/(5* 5)\n\nTotal \ books =3* 56\n\nTotal \ books=168\n$

Hence, there are 168 books are there in her book collection if there are 75 Chinese books.

To know more about proportion click the link given below.

brainly.com/question/12674321

Answer 2

Answer:

Answer:

168 books

Step-by-step explanation:

Given

$English = (3)/(8)$

$Chinese = (5)/(7)$ of the remaining books

Required

Determine the total number of books

If the proportion of the English books is 3/8, the the remaining is:

$Remaining = 1 - English$

$Remaining = 1 - (3)/(8)$

Take LCM

$Remaining = (8 - 3)/(8)$

$Remaining = (5)/(8)$

From the question, we understand that:

$Chinese = (5)/(7)$ of the remaining books

This means:

$Chinese = (5)/(7) * (5)/(8)$

$Chinese = (5*5)/(7*8)$

$Chinese = (25)/(56)$

From the question, we also understand that 75 are Chinese books.

The total number of books can then be calculated using:

$Chinese = (25)/(56) * Total$

Substitute 75 for Chinese

$75 = (25)/(56) * Total$

Make Total the subject:

$Total = (56 * 75)/(25)$

$Total = (4200)/(25)$

$Total = 168$

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In the sixth grade class at Madison Middle School, for every 6 students, 4 of them play at least one sport. If there are 270 students on the sixth grade class, how many of them play at least one sport? a) 39
b) 180
c) 11
d) 405

Answers

Answer:

B is the answer

Step-by-step explanation:

Because we can make 4/6 into 2/3 and 2/3 of 270 is 180

Find the simultaneous equation x-2y=1,y^2-3xy+8=0

Answers

Answer:

(-2.2, -1.6), (3, 1)

Step-by-step explanation:

You don't have to go far to find the equations. They are right there in your problem statement. Perhaps you want to find the solutions to the equations.

Use the first equation to write an expression for x, then substitute that into the second equation:

x = 2y +1

y^2 -3(2y+1)(y) +8 = 0

-5y^2 -3y +8 = 0

-(5y +8)(y -1) = 0

y = -8/5 or y = 1

The corresponding values of x are ...

x = 2(-8/5)+1 = -11/5

x = 2(1) +1 = 3

The solutions are (x, y) = (-2.2, -1.6) and (3, 1).

There were 5,317 previously owned homes sold in a western city in the year 2000. The distribution of the sales prices of these homes was strongly right-skewed, with a mean of $206,274 and a standard deviation of $37,881. If all possible simple random samples of size 100 are drawn from this population and the mean is computed for each of these samples, which of the following describes the sampling distribution of the sample mean? (A) Approximately normal with mean $206,274 and standard deviation $3,788
(B) Approximately normal with mean $206,274 and standard deviation $37,881
(C) Approximately normal with mean $206,274 and standard deviation $520
(D) Strongly right-skewed with mean $206,274 and standard deviation $3,788
(E) Strongly right-skewed with mean $206,274 and standard deviation $37,881

Answers

Approximately normal with mean is $206,274 and standard deviation is $3,788 and this can be determined by applying the central limit theorem.

Given :

There were 5,317 previously owned homes sold in a western city in the year 2000.
The distribution of the sales prices of these homes was strongly right-skewed, with a mean of $206,274 and a standard deviation of $37,881.
Simple random samples of size 100.

According to the central limit theorem the approximately normal mean is $206274.

Now, to determine the approximately normal standard deviation, use the below formula:

$s =(\sigma )/(√(n) )$ ---- (1)

where 's' is the approximately normal standard deviation, 'n' is the sample size, and $\sigma$ is the standard deviation.

Now, put the known values in the equation (1).

$s = (37881)/(√(100) )$

s = 3788.1

$\rm s \approx 3788$

So, the correct option is A).

For more information, refer to the link given below:

brainly.com/question/18403552

Answer:

(A) Approximately normal with mean $206,274 and standard deviation $3,788

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = (\sigma)/(√(n))$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

Right skewed

Mean $206,274

Standard deviation $37,881.

Sample:

By the Central Limit Theorem, approximately normal.

Mean $206,274

Standard deviation $s = (37881)/(√(100)) = 3788.1$

So the correct answer is:

(A) Approximately normal with mean $206,274 and standard deviation $3,788

You have a piggy bank containing a total of 106 coins in dimes and quarters. If the piggy bank contains $17.05, how many dimes are there in the piggy bank? There are how many dimes in the piggy bank.

Answers

Answer:

63 dimes

Step-by-step explanation:

Set up a system of equations where d is the number of dimes and q is the number of quarters:

d + q = 106

0.1d + 0.25q = 17.05

Solve by elimination by multiplying the top equation by -0.25 to eliminate q:

-0.25d - 0.25q = -26.5

0.1d + 0.25q = 17.05

Add together and solve for d:

-0.15d = -9.45

d = 63

So, there were 63 dimes in the piggy bank

Help please ! i need it asap & do not put any typa link .

Answers

Answer:

SU = 32 and <SVT = 32

Step-by-step explanation:

math, i am pretty sure about the angle and positive on the diagonal

Parallel lines r and s are cut by two transversals, parallel lines t and u. Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Which angles are alternate interior angles with angle 3? Angle5 and Angle13 Angle7 and Angle15 Angle6 and Angle16 Angle8 and Angle14 Mark this an