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docker41 [41]
3 years ago
11

Two consecutive integers have a sum of 513. find the smaller of these two number

Mathematics
2 answers:
nexus9112 [7]3 years ago
5 0
513/2=256.5
which means 256 and 257 are the answers
Alona [7]3 years ago
4 0

Answer:

<em>The smaller of these two number is 256.</em>

Step-by-step explanation:

Suppose, the two consecutive integers are n and n+1

Here, <u>the smaller integer is</u> n and the larger integer is n+1

<u>The sum of two integers is given as</u> 513. So, the equation will be....

n+(n+1)= 513\\ \\ n+n+1= 513\\ \\ 2n+1=513\\ \\ 2n= 513-1\\ \\ 2n= 512\\ \\ n= \frac{512}{2}=256

So, the smaller integer is 256.

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4 0
3 years ago
College students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. If the amount of sleep is normall
Soloha48 [4]

Answer:

4.27%

Step-by-step explanation:

We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.

We will use z-score formula to solve our given problem.

z=\frac{x-\mu}{\sigma}

z = z-score,

x = Random sample score,

\mu = Mean,

\sigma = Standard deviation.

Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.

35\text{ min}=0.58\text{ Hour}

z=\frac{9.6-8.6}{0.58}

z=\frac{1}{0.58}

z=1.72

Now, we need to find P(z>1.72).

Using formula P(z>a)=1-P(z, we will get:

P(z>1.72)=1-P(z

Using normal distribution table, we will get:

P(z>1.72)=1-0.95728

P(z>1.72)=0.04272

0.04272\times 100\%=4.272\%

Therefore, 4.27% of college students sleep for more than 9.6 hours.

7 0
3 years ago
How do you solve this
Katyanochek1 [597]
Add it together. You find area with base times height!!!
4 0
3 years ago
Please help me with this.<br> I need a maths genius<br> See pic below.<br> Thanks
adelina 88 [10]

Answer:

a =15

b=70

c=400

d=1500

e=5300

Step-by-step explanation:

it will help u

5 0
3 years ago
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