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2 years ago

Determine whether the number is divisible by 3.give a reason based on the tests for divisibility 72

1 answer:

5 0

72 is dividable by 3. It is divisible by 3 because when you add 7 and 2, you get 9. According to the tests for divisibility, if the sum of the digits is divisible by 3, then the whole number is. 9 is divisible by 3, therefore 72 is as well.

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A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only

makvit [3.9K]

Answer:

The sample size is $n = 3139$

Step-by-step explanation:

From the question we are told that

The margin of error is $E = 0.02$

From the question we are told the confidence level is 97.5% , hence the level of significance is

$\alpha = (100 - 97.5% ) \%$

=> $\alpha = 0.025$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 2.241$

Generally we will assume the sample proportion to be $\^ p = 0.5$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )$

=> $n = [\frac{2.241}{0.02} ]^2 *0.5 (1 - 0.5 )$

=> $n = 3139$

7 0

2 years ago

Your car lease requires a down payment of $1,500 and payments of $450 per month for 36 months. the apr is 6% compounded monthly

Svetach [21]

Monthly interest, i = APR/12 = 0.06/12 = 0.005
Monthly payment, A = $450
Period, n = 36 (months)
Future value of payment
= A((1+i)^n-1)/i
= 450((1.005^36-1)/0.005
= 17701.2472341
Future value of car
F = future value of payment + residual value
= 17701.2472341 + 20000
= 37701.2472341

Present value of car
= downpayment + present value of future payments
= 1500 + F/(1+i)^36
= 1500 + 37701.2472341/(1.005^36)
= 1500 + 31504.86
= 33004.86

8 0

2 years ago

How do I find x and y using what is in the equation

juin [17]

y is part of a right angle on line AB

a right angle = 90 degrees

90-47 = 43 degrees

y = 43 degrees

a straight line = 180 degrees

180-47 = 133 degrees

x = 133 degrees

5 0

2 years ago

Line segment AB was translated 2 units right and 7 units down to create line segment CD. A transversal intersects the two line s

belka [17]

These are correct statements:

- Line segments AB and CD are parallel.

- Since ∠1 and ∠3 are corresponding angles, they are congruent.
These are incorrect statements:

- Since ∠3 and ∠4 are corresponding angles, they are congruent. They are not corresponding angles, they are supplementary meaning they, together, equal 180.

- Since ∠1 and ∠2 are corresponding angles, they are congruent. These are also not corresponding, they are supplementary.

- Line segments AB and CD are perpendicular. They are not crossing over each other.

- Since ∠1 and ∠4 are alternate interior angles, they are congruent. They are not corresponding, they are supplementary. ∠1 and ∠3 are corresponding just like ∠2 and ∠4.

6 0

2 years ago

Elapsed time five in the afternoon to 1 minute after midnight

scoundrel [369]

Answer:

The elapsed time is 7hrs and 1 minute.

3 0

2 years ago