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2 years ago

Find the ratio created when AB is partitioned by C.

Mathematics

1 answer:

Blizzard [7]2 years ago

8 0

Answer:

Step-by-step explanation:

From the picture attached,

Segment AB has been divided into four equal parts.

Let each part measures equal length = 1 unit

Point C is 2 units apart from both the points A and B.

Length of AC = Length of BC = 2 units

Therefore, point C will be the mid point of segment AB.

And ratio of AC and BC = 1:1

AC:BC = 1:1

Similarly, AC:AB = 2:4

= 1:2

And BC:AB = 2:4

= 1:2

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The proportion of junior executives leaving large manufacturing companies within three years is to be estimated within 3 percent

Leona [35]

Answer: 709

Step-by-step explanation:

The formulas we use to find the required sample size :-

1. $n=(\dfrac{z^*\cdot \sigma}{E})^2$

, where $\sigma$ = population standard deviation,

E = Margin of error .

z* = Critical value

2. $n=p(1-p)(\dfrac{z^*}{E})^2$ , where p= prior estimate of population proportion.

3. If prior estimate of population proportion is unavailable , then we take p= 0.5 and the formula becomes

$n=0.25(\dfrac{z^*}{E})^2$

Given : Margin of error : E= 3% =0.03

Critical value for 95% confidence interval = z*= 1.96

A study conducted several years ago revealed that the percent of junior executives leaving within three years was 21%.

i.e. p=0.21

Then by formula 2., the required sample size will be :

$n=0.21(1-0.21)(\dfrac{1.96}{0.03})^2$

$n=0.21(0.79)(65.3333)^2$

$n=(0.1659)(4268.44008889)\\\\ n=708.134933333\approx709$ [Round to the next integer.]

Hence, the required sample size of junior executives should be studied = 709

4 0

3 years ago

Evan has 2 pieces of wood: one is 90 inches and the other is 72 inches.he wants to cut both pieces of wood into smaller pieces s

QveST [7]

he will have 18 because both of them could be divided by 18 and its the highest number

6 0

2 years ago

Give an example of a set of five ordered pairs. Determine the domain and range of the set.

sergey [27]

DOMAIN:

Set of allowable inputs (set of 1st elements of the ordered pairs in relation)
X point
AKA the input

DEFINE INPUT:

A number that'll be used in a function rule to determine the value of the output

RANGE:

Set of possible outputs (set of 2nd elements of the ordered pairs in relation)
Y point
AKA the output

DEFINE OUTPUT:

Result of applying a function rule to the value of ani input

ORDERED PAIRS:

(-1, 7): -1 is the domain & 7 is the range

(3, 5): 3 is the domain & 5 is the range

(4, 9): 4 is the domain & 9 is the range

(-6, -10): -6 is the domain & -10 is the range

(-2, 8): -2 is the domain & 8 is the range

Hope this helps you!!! :)

8 0

2 years ago

You invested $10,000 into two accounts: one that has a simple 3% interest, the other with 2.5% interest. If your total interest

artcher [175]

Answer:

3300 was on 3% and 6700 on 2,5%

Step-by-step explanation:

We can say that 'a' represents the price that will go on 3% interest and 'b' 2,5% interest.

Therefore;

a + b = 10 000

And

0,03a + 0,025b = 283.5 (0,03 means 3% etc)

You can move 'b' to the other side to leave 'a' on the LHS

0,03a = 283.5 - 0,025b - - > (divide both sides by 0,03)

a=9450 - 0,8333b

Substitute this equation as 'a' in the first equation to get:

9450 - 0,8333b + b = 10 000 (move 9450 to the RHS to leave values with b on the LHS)

-0,8333b + b = 10 000 - 9450

0,1666b = 550 (divide both sides by 0,1666)

b = 3,300

Therefore 'a' will be :

a= 10 000 - 3 300

a = 6700

I hope this helps.

4 0

3 years ago

The brand xyz dog food costs $36 for 15 pounds of dog food. What is the cost per pound?

HACTEHA [7]

Answer:

Step-by-step explanation:

36/$15 = $2.04 per pound

3 0

2 years ago

Read 2 more answers