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3 years ago

The points N, O, P and Q all lie on the same line segment

Mathematics

1 answer:

Korolek [52]3 years ago

3 0

Answer:

Step-by-step explanation:

NO+OP+PQ = NQ = 60

4u + 3u + 5u = 12u = 60

1u = 5

NO = 4u = 4*5 = 20

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3 years ago

Mary has $65,000 to invest in two accounts. The first account is a private savings offering 6% annual interest and the second ac

const2013 [10]

Answer:

first account with 6% interest ( x ) = $46000

second account with 4% interest ( y ) = $19000

Step-by-step explanation:

Principal = $65000

first interest rate = 6%

second interest rate = 4%

assuming ; X = money invested in first account , Y = money invested in second account

hence :

( 65000 - y ) * 6% + ( 65000 - x ) * 4% = 3520

3900 - 0.06 y + 2600 - 0.04 x = 3520

0.04 x + 0.06 y = 3900 + 2600 - 3520

0.04 x + 0.06 y = 2980 ----- ( 1)

x + y = 65000 ------- ( 2 )

solve equation 1 and 2 simultaneously by elimination method

0.04 x + 0.06 y = 2980 ------ ( 3 )

0.06 x + 0.06 y = 3900 ------- ( 4 )

subtract equation 3 form equation 4

0.02 x = 920 , hence x = $46000

therefore y = $65000 - $46000 = $19000

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3 years ago

A survey found that 89% of a random sample of 1024 American adults approved of cloning endangered animals. Find the margin of er

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Answer:

The margin of error for the survey is 0.016

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1024

Sample proportion:

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We have to find the margin of error associated with a 90% Confidence interval.

Formula for margin of error:

$z_{stat}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.10} = 1.64$

Putting the values, we get:

$M.E = 1.64\times (\sqrt{\dfrac{0.89(1-0.89)}{1024}})\\\\M.E=0.016$

Thus, the margin of error for the survey is 0.016

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3 years ago

Read 2 more answers

Sergei says that 10% of a number will always be less than 20% of any other number.

11111nata11111 [884]

That's false.
Let's see an instance:
10% of 300=30
20% of 100=20
It doesn't work here so it's false

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3 years ago