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nika2105 [10]
2 years ago
15

(b) Write the ratio 12:30 in the form 1:n

Mathematics
2 answers:
kari74 [83]2 years ago
4 0

answer:

1 : 2.5

explanation:

given ratio: 12 : 30

divide by 12:

  • \frac{12}{12} : \frac{30}{12}
  • 1 : 2.5

n = 2.5

Aleonysh [2.5K]2 years ago
3 0

Solution:

<u>Note that:</u>

  • 12:30 = 12/30

<u>Simplify the denominator and the numerator.</u>

  • => 12/30 = 6/15 = 2/5 = 1/2.5
  • => 1/2.5 = 1:2.5 (In ratio form 1:n)

The simplified ratio form of 12:30 is 1:2.5.

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4 years ago
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Write the next three terms of the arithmetic sequence.
konstantin123 [22]

Answer:

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t3=28

t4=41

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4 0
3 years ago
The income distribution in a county is a normal distribution with a mean income of $10,000. The top 2.5% of the wage earners ear
earnstyle [38]

Answer:

<em>84%</em><em> of the wage earners earn less than $14,000 each. </em>

Step-by-step explanation:

The Empirical Rule (68-95-99.7%)-

According to this around 95% of the data will fall within two standard deviations of the mean.

As the bell curve is symmetrical, so the remaining 5% will be divided into 2 equal parts. So 2.5% will be above 2 standard deviation and 2.5% will be below 2 standard deviation.

As it is given that, the top 2.5% of the wage earners earn $18,000 or more, so 18,000 is 2 standard deviation away from the mean 10,000.

i.e 2\sigma=18000-10000=8000

\Rightarrow \sigma = 4000

We know that,

Z=\dfrac{X-\mu}{\sigma}

where,

X = raw score = 14,000

μ = 10,000

σ = 4,000

Putting the values,

Z=\dfrac{14000-10000}{4000}=\dfrac{4000}{4000}=1

Now, calculating the value from the z score table,

P(1)=0.8413=84.13\%

As the probability at z=1 is the area below that, so 84% of the wage earners earn less than $14,000 each.

6 0
4 years ago
Please solve for M&lt;QTR​
Andru [333]

Answer:

m∠QTR = 98°

Step-by-step explanation:

From the picture attached,

Radii of the circle are TQ and TR measuring equal lengths.

Therefore, ΔTQR is a isosceles triangle.

Opposite angles of the equal sides will be equal in measure.

m∠RQT = m∠TRQ = 41°

By angle sum theorem,

m∠RQT + m∠TRQ + m∠QTR = 180°

41° + 41° + m∠QTR = 180°

m∠QTR = 180° - 82°

              = 98°

Therefore, m∠QTR = 98°

7 0
3 years ago
Solve algebraically: <br> Y = x^2 + 5x - 17 <br> Y = x - 5
Ksenya-84 [330]

Answer:

2

Step-by-step explanation:

What you could do is fill in 2 for the equation and y would equal -3 so for the first one it's like

y= 2^2 + 5(2) -17

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In the second y it would be something like

y= 2 - 5 which would equal y= -3

so x=2

3 0
4 years ago
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