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soldier1979 [14.2K]
3 years ago
11

Given {27,15,3,-9,...} find a11

Mathematics
2 answers:
coldgirl [10]3 years ago
4 0

Answer: -21, -33, -45

Step-by-step explanation:

each next number is being subtracted by 12 so

vova2212 [387]3 years ago
3 0

Answer:

-91

Step-by-step explanation:

a1=27

d=15-27=-12

an=27+(n-1)(-12)=27-12n+12=39-12 n

a11=39-12(11)=39-132=-91

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Solve for p.<br> -p - 1 = 5 - 9p + 10p
Darina [25.2K]

Answer:

p= 1/3 or 0.33 repeating

Step-by-step explanation:

5-19p=-p-1

5=18p-1

6=18p

divide by 18

6/18 = 1/3 or 0.33 repeating

5 0
3 years ago
Read 2 more answers
It takes 1 1/3 hours to set up 1/3 of an hour to run and 2/3 of an hour to verify the results. How many hours will it take to co
liraira [26]

Answer: It will take \frac{7}{3} of an hour to complete the test.

Step-by-step explanation:

We need to convert the mixed number 1\ \frac{1}{3} to an improper fraction:

1\ \frac{1}{3}=\frac{(1*3)+1}{3}= \frac{4}{3}

Now, we need to make the following add the fractions in order to calculate how many hours will it take to complete the test. Then, we get:

\frac{4}{3}+\frac{1}{3}+\frac{2}{3}=\frac{4+1+2}{3}=\frac{7}{3}

Therefore, it will take \frac{7}{3} of an hour to complete the test.

5 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
The states C and D spend a total of ​$54.6 million for tourism. The state C spends ​$2 million more than the state D. Find the a
Roman55 [17]

State C spent $28.3 million and State D spent $26.3 million.

Step-by-step explanation:

Total spent for tourism = $54.6 million

Let,

The amount spent by State C = x

The amount spent by State D = y

According to given statement;

x+y = 54.6    Eqn 1

x=y+2    Eqn 2

Putting value of x from Eqn 2 in Eqn 1

(y+2)+y-54.6\\y+2+y=54.6\\2y=54.6-2\\2y=52.6\\

Dividing both sides by 2

\frac{2y}{2}=\frac{52.6}{2}\\y=26.3

Putting y=26.3 in Eqn 2

x=26.3+2\\x=28.3\\

State C spent $28.3 million and State D spent $26.3 million.

Keywords: linear equations, substitution method

Learn more about linear equations at:

  • brainly.com/question/6459599
  • brainly.com/question/6649771

#LearnwithBrainly

5 0
3 years ago
In a jar of coins, the ratio of nickels to dimes is 2:7. If the jar contains 350 nickels, how many dimes are there? A) 175 B) 35
Dvinal [7]
No nickles = 2x and that of dimes = 7x so 2x = 350 get x and the no of dimes
so like 2x = 350 divide by 2 on both sides so x = 175 ... and no of dimes = 7*x = 7*175 = 1225
Hope it helps :)
3 0
4 years ago
Read 2 more answers
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