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disa [49]
2 years ago
14

Answer each question using ratios.

Mathematics
1 answer:
Gnom [1K]2 years ago
5 0

Answer:

B) 42:28

Step-by-step explanation:

First, let's get 12:18 simplified to make it easier to compare:

12:18 -> 4:6 - > <u>2:3</u>

Now let's check it against all the options:

A) 20:30 -> 2:3 and 2:3 = 2:3

Not our answer as it is congruent (equal too, the same as, etc)

B) We can see that the first number is larger than the second number, so without doing too much math we can see this is our answer!

42:28

(it simplifes to 6:4 -> 3:2)

(we do not have to do the following as we already have an answer, but here is the math)

C) 4:6

4:6 ->

2:3 = 2:3

D) 2:3

2:3 = 2:3

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Q4. A simple random sample of size n=180 is obtained from a population whose size=20,000 and whose population proportion with a
IgorLugansk [536]

Answer:

np = 81  , nQ = 99

Step-by-step explanation:

Given:

X - B ( n = 180 , P = 0.45 )

Find:

Sampling distribution has an approximate normal distribution

Computation:

nP & nQ ≥ 5

np = n × p

np = 180 × 0.45

np = 81

nQ = n × (1-p)

nQ = 180 × ( 1 - 0.45 )

nQ = 99

Therefore, sampling\ distribution\ has\ an\ approximately\ normal\ distribution.

3 0
3 years ago
Weekly wages at a certain factory are
Naya [18.7K]

Answer:

Step-by-step explanation:

Weekly wages at a certain factory are

normally distributed. The formula for normal distribution is expressed as

z= (x - u)/s

Where

u = mean

s = standard deviation

x = weekly wages

From the given information,

u = 400

s = 50

The probability that a worker

selected at random makes between

$350 and $400 is expressed as

P(350 lesser than or equal to x lesser than or equal to 400)

For x = 350

z = (350 - 400)/50 = -50/50 = -1

z = -1

From the normal distribution table, the corresponding z score is 0.1587

For x = 400

z = (400 - 400)/50 = 0/50 = 0

z = 0

From the normal distribution table, the corresponding z score is 0.5

P(350 lesser than or equal to x lesser than or equal to 400)

= 0.5 - 0.1587 = 0.3413

4 0
3 years ago
Read 2 more answers
The following list details the numbers of tickets sold for a talent show grade 9:22; grade 10:32; grade 11: 41; and grade 12:30.
Montano1993 [528]

Answer: C. domain: {9, 10, 11, 12); range: (22, 32, 41, 30)

Step-by-step explanation:

The data set is:

(9, 22)

(10,32)

(11, 41)

(12, 30).

In the usual notation, the number at the left is the input (belons to the domain) and the number in the right is the output (belongs to the range).

Then the domain would be:

{9, 10, 11, 12}

and the range:

{22, 32, 41, 30}

The correct option is C

7 0
3 years ago
Complete the definition of the piecewise defined
Westkost [7]

Answer: a=1 b=3

Step-by-step explanation: the x for each of the points are 1 and 3

7 0
2 years ago
Yuk noticed that out of 24 students entering the building at Willowville Elementary School this morning, 8 of them were carrying
nordsb [41]

Answer:

the students that brought a lunch box is 28

Step-by-step explanation:

The computation of the students that brought a lunch box is shown below:

= Entire school students × students that carry a lunch box ÷ entering students

= 84 students × 8 ÷ 24 students

= 28 students

Hence, the students that brought a lunch box is 28

3 0
2 years ago
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