Nearest tenth of 221

Solve each equation. if exact roots cannot be found, state the consecutive integers between which the roots are located

kumpel [21]

Divide each side by x so the x squared becomes a single x. On the other side you should get five, so your answer is:
X=5

8 0

4 years ago

An employer interviews 12 people for four openings at a company. Five of the 12 people are women. All 12 applicants are qualifie

MA_775_DIABLO [31]

Answer:

a) The employer can fill the four positions in 495 ways.

b) The employer can fill the four positions in 210 ways.

Step-by-step explanation:

The order is not important.

For example:

Selecting John, Laura, Mary and Tre'Davious is the same as selecting Laura, John, Mary and Tre'Davious.

So we use the combinations formula to solve this problem.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

(a) the selection is random

There are 12 people, and 4 are selected. So

$C_{12,4} = \frac{12!}{4!8!} = 495$

(b) exactly two selections are women?

There are 7 men and 5 women. We want to select 2 men and 2 women. So

$C_{7,2}*C_{5,2} = \frac{7!}{2!5!}*\frac{5!}{2!3!} = 210$

3 0

4 years ago

Haley is responsible for buying a week's supply of food and medication for the pigs and cows at a local co-op. The food and medi

vesna_86 [32]

Answer:

c- 75

p- 25

Step-by-step explanation:

so haley has 2450 in total and the pig cost 25 so if the cows are 3 times more than the pigs . so the cows stuff cost 75 each so now multiply 75 x 30 = 2250 and the pigs cost 25 each multiply 25 x 8 = 200 then add 2250 + 200 = 2450 which means haley has the exact money to pay the stuff. haley spends 75 on each cow.

8 0

3 years ago

In the supermarket there is a scale that measures the weight of fruit and vegtsbles. The nedle is 24 cm long and it roatated 96d

Galina-37 [17]

Answer:

The distance of needle cover as it rotate is 0.700688 cm

Step-by-step explanation:

Given as :

The length of the needle = r = 24 cm

The needle is rotated at angle = Ф = 96°

The distance of needle cover as it rotate = length of arc made = l cm

The radius of arc = length of needle = r cm

<u>Now, According to question</u>

The distance of needle cover as it rotate = $\dfrac{\Pi \times radius\times \Theta }{180^{\circ}}$

where , π = 3.14

Or, l = $\dfrac{\Pi \times r\times \Theta }{180^{\circ}}$

Or, I = $\dfrac{3.14 \times 24 cm\times 96^{\circ} }{180^{\circ}}$

Or, l = 75.36 × 0.533°

∵ 180° = 3.14 radian

So, 0.533° = 0.0092978

So, l = 75.36 × 0.0092978

∴ l = 0.700688 cm

So,The distance of needle cover as it rotate = l = 0.700688 cm

Hence, The distance of needle cover as it rotate is 0.700688 cm Answer

8 0

3 years ago

Please help need for right now

andrew11 [14]

Q14) 8 times 1/2=4

Q15) 3/4>1/2 (1/2 =2/4)

Q16) 1/8, 3/8, 5/8

3 0

3 years ago