1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
FinnZ [79.3K]
3 years ago
13

Find the 8th term in the geometric sequence 5,-15, 45...

Mathematics
1 answer:
Ratling [72]3 years ago
5 0

Answer: 32805

Step-by-step explanation:

The factor between each term is -3, so you have to multiply -3 eight times (-3 to the power of 8), which is 6561. You have to multiply 6561 by 5 to get the answer.

You might be interested in
Delia measured her bathtub to be 2 meters long. What is an equivalent measurement?
allochka39001 [22]


An equivalent measurement to 2 meters is 200 cm. Since 1 meter is equivalent to 100 cm, multiply both of them by two. So, your answer is - 2 meters is equivalent to 200 cm.

Hope it helps :)

4 0
3 years ago
Solve the equation. 2x + 12 = 2(x + 6)
Vilka [71]

Answer:

Infinitely many solutions

Step-by-step explanation:

Step 1- Distribute into the parenthesis.

2x+12= 2(x+6)

2x+12= (2)x+(2)6

Step 2- Multiply

2x+12= 2x+12

Since they are equal, they are infinite.

5 0
3 years ago
A magazine provided results from a poll of 500500 adults who were asked to identify their favorite pie. Among the 500500 ​respon
Komok [63]

Answer:

99% confidence interval is wider as compared to the 80% confidence interval.

Step-by-step explanation:

We are given that a magazine provided results from a poll of 500 adults who were asked to identify their favorite pie.

Among the 500 respondents, 14​% chose chocolate​ pie, and the margin of error was given as plus or minus ±3 percentage points. 

The pivotal quantity for the confidence interval for the population proportion is given by;

                            P.Q.  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of adults who chose chocolate​ pie = 14%

            n = sample of adults = 500

            p = true proportion

Now, the 99% confidence interval for p =  \hat p \pm Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }

Here, \alpha = 1% so  (\frac{\alpha}{2}) = 0.5%. So, the critical value of z at 0.5% significance level is 2.5758.

Also, Margin of error = Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }  = 0.03 for 99% interval.

<u>So, 99% confidence interval for p</u>  =  0.14 \pm2.5758  \times \sqrt{\frac{0.14(1-0.14)}{500} }

                                                        = [0.14 - 0.03 , 0.14 + 0.03]

                                                        = [0.11 , 0.17]

Similarly, <u>80% confidence interval for p</u>  =  0.14 \pm 1.2816  \times \sqrt{\frac{0.14(1-0.14)}{500} }

Here, \alpha = 20% so  (\frac{\alpha}{2}) = 10%. So, the critical value of z at 10% significance level is 1.2816.

Also, Margin of error = Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }  = 0.02 for 80% interval.

So, <u>80% confidence interval for p</u>  =  [0.14 - 0.02 , 0.14 + 0.02]

                                                           =  [0.12 , 0.16]

Now, as we can clearly see that 99% confidence interval is wider as compared to 80% confidence interval. This is because more the confidence level wider is the confidence interval and we are more confident about true population parameter.

5 0
3 years ago
A gardener found that he was able to plant 1/4 of a packet of flower seeds in 1/5 of a garden.At this rate how much of the garde
telo118 [61]

Answer: \frac{4}{5} of garden.


Step-by-step explanation:

Given: The area covered by \frac{1}{4} of a packet of flower seeds=\frac{1}{5} of a garden.

The area covered in 1 packet=4\times\frac{1}{5}

⇒The area covered in 1 packet=\frac{4}{5} of garden.

Thus, the entire packet of seeds would cover \frac{4}{5} of garden.

3 0
3 years ago
Which of the following correctly completes the square for the equation
sveticcg [70]
The answer will be B
4 0
3 years ago
Other questions:
  • Is the statement true or false? <br><br> 100 ÷ 4 = 50 ÷ 3
    6·1 answer
  • An angle with the measurements of 180 degrees is formed by two opposite rays true or false
    11·2 answers
  • Which expression is equivalent to 1/5(15+10x-5)
    7·1 answer
  • Eight more than twice a number is eight. Find the number.
    7·2 answers
  • 7c + 3 = 6c + 4 is this equation infinitely many solutions or no solution or one solution
    8·2 answers
  • Can somebody help me with this problem. And make sure that u can explain how to do it don't just give me the answer.
    6·1 answer
  • If x=7, then 2x * x=
    12·1 answer
  • Raymond planted a vegetable garden containing 50 plants. There were 15 tomato
    13·1 answer
  • A square metallic frame has a perimeter 208cm .It is bent in the shape of a circle. Find the area of the circle.​
    14·1 answer
  • Need help with my math please. Determine the most probable next term in each list of numbers.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!