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xeze [42]
2 years ago
15

The sum of all three numbers is 12. The sum of twice the first number, 4 times the second number, and 5 times the third number i

s 35. The difference between 8 times the first number and the second number is 52. What are the three numbers?
Mathematics
1 answer:
DaniilM [7]2 years ago
4 0

Answer:

The numbers are 7, 4 and 1

Step-by-step explanation:

Let the numbers =x, y, z.

The sum of all three numbers is 12, x+y+z=12--------i

The sum of twice the first number, 4 times the second number, and 5 times the third number is 35, 2x+4y+5z=35-------ii

The difference between 8 times the first number and the second number is 52, 8x-y=52---------iii

Now, from (i),z =1-x-y--------iv

substitute (iv) in (ii),

2x+4y+5(12-x-y)=35

2x+4y+60-5x-5y=35

collect like terms

-3x-y=-25

that is, 3x-y=25--------v

solving (iii) and (v) simultaneously (add iii and v), we have

11x=77

divide both sides by 11 to obtain x=7

Put x=7 in (v)

3(7)+y=25

21+y=25

implies y=25-21=4

put x=7 and y=4 in (iv)

z=12-7-4=1

Hence, the numbers are 7, 4 and 1.

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Answer:

Step-by-step explanation:

From the given information:

The null and the alternative hypothesis can be well written as:

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Alpha ∝ = 0.05 level of significance

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The sample proportion \hat P = \dfrac{x}{n}

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The test statistics Z = \dfrac{\hat P - P}{\sqrt{ \dfrac{P(1-P)}{n} }}

Z = \dfrac{0.675 - 0.6}{\sqrt{ \dfrac{0.6 \times 0.4}{200} }}

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The P-value = P(Z > 2.165)

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From the z tables

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Reject the null hypothesis since P-Value is lesser than alpha. ( i.e. 0.0152 < 0.05).

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3 years ago
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I need help ASAP I will Name the Person that is right BRAINLEST
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Based on the sample results of the population the percentage of population that  prefers reading a hard copy i fht e digital copy is 4, the hard copy is 21 and n equas 25 is 84%

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From the above question  we know that .

<u>Total number of population, n = 25</u>

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As per the question we need to  find out the percentage  of population who prefer to read hard copy.

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<u>Percent of population preferring hard copy = Hard copy/Total*100</u>

<u></u>

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