MATHEMATICS COLLEGE

If 60% of a given number is 18.0 what is 25% of the given number​

Answers

Answer 1
Answer:

Answer:

7.5

Step-by-step explanation:

60% = 0.6

18 / 0.6 = 30 (given number)

25% = 0.25

30 * 0.25 = 7.5

Best of Luck!
Answer 2
Answer:

Answer:

2.7

Step-by-step explanation:

60/100x = 18

x = 10.8

25/100x = ?

25/100 (10.8) = 2.7

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Answers

hope this helps you :-D

Let X be a binomially distributed random variable with parameters n=500 and p=0.3. The probability that X is no larger than one standard deviation above its mean is closest to which of the following? a. 0.579
b. 0.869
c. 0.847
d. 0.680

Answers

Answer:

c. 0.847

Step-by-step explanation:

From the given information;

X \sim Binomial (500,0.3)

Given that n = 500 which is too large, binomial distribution can now be approximated to

N ( \mu , \sigma^2)

where;

\mu = np

\mu =500 * 0.3

\mu =150

\sigma^2= np(1-p)

\sigma^2= 500 * 0.3(1-0.3)

\sigma^2= 150(0.7)

\sigma^2= 105\n

∴

P(X \leq \mu + \sigma ) = ( (X-\mu)/(\sigma) \leq 1)

P(X \leq \mu + \sigma ) = ( Z \leq 1)

P(X \leq \mu + \sigma ) =\Phi (1)

From the z table

P(X \leq \mu + \sigma ) =0.841

Thus, our value is closest to the option c which 0.847

A cinema seats 280 people. if 98 people are in the cinema, what percentage of the seats are filled ?

Answers

35 percent. Helps if you turn it into a fraction. so 98/280 is the same as .35 convert to percentage and you get 35%

The total number of seats are 280

Out of this 98 seats are filled

Hence it is expressed in fraction as (98)/(280)

(part out of whole)

To convert any fraction into percentage, we just need to multiply it with 100

(98)/(280)×100

(9800)/(280)

= 35 %

Hence 35% of the cinema is filled

Which of the following equations are the correct answer? Please help due tomorrow

Answers

(3,2), (-1,-4)

Slope = (y2-y1)/(x2-x1)= (2+4)/(3+1) =3/2
(y-y1) = 3/2(x-x1)
(y-2)=3/2(x-3)
(y+4)=3/2(x+1)
Correct answer: A,E

Points A, B, and C lie on line segment AC. The ratio of AB:BC is 3:7, and the length of AC = 120. What is the length of BC?

Answers

In terms of "ratio units," the length of AC is 3+7=10, so each one is worth 120/10 = 12. The length BC is 7 of those, or 7·12 = 84.

The ratio of AB:BC is 3:7
3 + 7 = 10
 the length of AC = 120
so 120 / 10 = 12

BC = 7 x 12 = 84

Answer
The length of BC = 84

-10n + 3 = -117
Show work

Answers

Step-by-step explanation:

move the constant to the right hand side and change its sign

-10 +3= -117-3

calculate the difference

-10n= -120

divide both sides by -10

-10 = -120

N= 12

Answer:

n = 12

Step-by-step explanation:

1) Subtract 3 from both sides.

- 10n = - 117 - 3

2) Simplify -117 - 3 to - 120.

- 10n = - 120

3) Divide both sides by -10.

n = ( - 120)/( - 10)

4) Two negative makes a positive.

n = (120)/(10)

5) Simplify 120/10 to 12.

n = 12

Therefor,theanswerisn=12.
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