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liraira [26]
3 years ago
15

The larger of two consecutive odd integers is four less than three times the smallest integer. Find the two integers.

Mathematics
1 answer:
ElenaW [278]3 years ago
4 0

Answer: -1 and 1

Step-by-step explanation:

Let the first integer be x and the second x +2 , clearly, the larger is x + 2.

From the statement given

x + 2 = 3x + 4

x - 3x = 4 - 2

-2x = 2

x = -1

The second integer is -1 + 2 = 1

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First you find the unit rate. (Divide 2.76 by 18)
You will find out that each ounce costs $0.15

Then divide 2.07 by 0.15.

The answer is 13.8 ounces.

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3 years ago
Divide and Round your answer to the nearest hundredth: 32.503/4.9
timurjin [86]

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6.63

Step-by-step explanation:

4 0
3 years ago
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In a survey of adults aged 57 through 85​ years, it was found that 86.6​% of them used at least one prescription medication. Com
OleMash [197]

Answer:

a) 272 used at least one prescription​ medication.

b) The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).

Step-by-step explanation:

Question a:

86.6% out of 3149, so:

0.866*3149 = 2727.

272 used at least one prescription​ medication.

Question b:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 3149, \pi = 0.866

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.  

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 - 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.856

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 + 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.876

For the percentage:

0.856*100% = 85.6%

0.876*100% = 87.6%.

The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).

7 0
3 years ago
A cone has a volume of 300 units3, and a cylinder has a volume of 100 units3. Is it possible that the cylinder and the cone have
erma4kov [3.2K]

Answer:

MMHGJHBMHMB

Step-by-step explanation:

8 0
3 years ago
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And could someone please help me with this one please
Goshia [24]

Answer:

C

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

here (h, k) = (5, 2), thus

y = a(x - 5)² + 2

To find a substitute (4, - 3) into the equation

- 3 = a + 2 ⇒ a = - 3 - 2 = - 5

y = - 5(x - 5)² + 2 ← in vertex form

Expand (x - 5)² and distribute by - 5

y = - 5(x² - 10x + 25) + 2

  = - 5x² + 50x - 125 + 2

  = - 5x² + 50x - 123 ← in standard form

8 0
3 years ago
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