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2 years ago

The sum of two consecutive integers is 61. What are the integers?

Mathematics

2 answers:

Romashka-Z-Leto [24]2 years ago

7 0

Answer:

30, and 31

Step-by-step explanation:

Let n=the smaller of the two integers

n+n+1=61

2n+1=61

2n=60

n=30

iragen [17]2 years ago

5 0

Answer:

30, and 31

Step-by-step explanation:

Let the "x" mean the smaller of the two integers

x+x+1=61

2x+1=61

2x=60

x=30

CHECK:

30+30+1=61

2(30)+1=61

60+1=61

61=61 ✓

HOPE THIS HELPS

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Read 2 more answers

There were 324 adults surveyed. Among the participants, the mean number of hours of sleep each night was 7. 5 and the standard d

NeTakaya

The margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.

<h3>What is the margin of error?</h3>

The margin of error can be defined as the amount of random sampling error in the results of a survey. It is given by the formula,

$\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}$

$\text{MOE}$ = margin of error

$\gamma$ = confidence level

$z_{\gamma}$ = quantile

σ = standard deviation

n = sample size

As it is given that the sample size of the survey is 324, while the standard deviation of the survey is 1.6.

We know that the value of the z for 95% confidence interval is 1.96. Therefore, using the formula of the standard of error we can write it as,

$\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\dfrac{\sigma^{2}}{n}}\\\\\text{MOE}_{\gamma}=1.96 \times \sqrt{\dfrac{1.6^{2}}{324}}\\\\\text{MOE}_{\gamma}=0.1742$