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
Taya2010 [7]
3 years ago
14

Find the sum of the geometric sequence. (1 point) 1, one divided by two, one divided by four, one divided by eight, one divided

by sixteen
Mathematics
2 answers:
Firlakuza [10]3 years ago
6 0
GP = 1/2 , 1/4 , 1/8 , 1/16
1st) the common ratio is (1/4 : 1/2 ) = 1/2, so r =1/2
2nd) the sum of a GP is:

S= a(1-rⁿ)/(1-r)

S=(1/2).[1-(1/2)⁴]/(1-1/2) = 15/16

Vinvika [58]3 years ago
4 0

Answer:

31/16

Step-by-step explanation:

You might be interested in
Maggie’s brother is three years younger than twice her age. The sum of their ages is 24. How old is maggie?
JulsSmile [24]

To solve this problem, we must set up a system of equations. In this case, let's let Maggie's age be represented by the variable m and her brother's age be represented by the variable b. We are told that the sum of their ages is 24, which gives us our first equation: m + b = 24. We can construct our next equation from the first sentence of given information: b = 2m - 3. This makes our system of equations:

m + b = 24

b = 2m - 3

To solve, we are going to substitute the value for b in terms of m given by the second equation into the first equation for the variable b.

m + b = 24

m + 2m - 3 = 24

To simplify, we must first combine the variable terms on the left side of the equation using addition.

3m - 3 = 24

Next, we should add 3 to both sides of the equation to get the variable term alone on the left side of the equation.

3m = 27

Finally, we should divide both sides by 3 in order to get the variable m alone.

m = 9

Therefore, Maggie is 9 years old (using the first equation and substituting in this value you can find that her brother is 15 years old).

Hope this helps!

8 0
3 years ago
Read 2 more answers
Please help with what you can !! giving brainliest answer . !!!
maks197457 [2]

Answer:

up your but

Step-by-step explanation:

3 0
3 years ago
A researcher reports survey results by stating that the standard error of the mean is 25 the population standard deviation is 40
bezimeni [28]

Answer:

a) A sample of 256 was used in this survey.

b) 45.14% probability that the point estimate was within ±15 of the population mean

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

a. How large was the sample used in this survey?

We have that s = 25, \sigma = 400. We want to find n, so:

s = \frac{\sigma}{\sqrt{n}}

25 = \frac{400}{\sqrt{n}}

25\sqrt{n} = 400

\sqrt{n} = \frac{400}{25}

\sqrt{n} = 16

(\sqrt{n})^2 = 16^2[tex][tex]n = 256

A sample of 256 was used in this survey.

b. What is the probability that the point estimate was within ±15 of the population mean?

15 is the bounds with want, 25 is the standard error. So

Z = 15/25 = 0.6 has a pvalue of 0.7257

Z = -15/25 = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

45.14% probability that the point estimate was within ±15 of the population mean

3 0
3 years ago
Help pls..................
Triss [41]

Answer:

Area = 152ft²

Step-by-step explanation:

Simpifly:

A = 13(13-6) + 9(13-6)

A = 13(7) + 9(7)

A = 22(7)

A = 22(7)

A = 20(7)+2(7)

A = 140 + 14

A = 152

5 0
3 years ago
Which expressions are equivalent to log4 (1/4x^2),​
Vlada [557]

Step-by-step explanation:

2 log 4 (1/4i)

.....................

8 0
2 years ago
Other questions:
  • True or False. The points X, R, K and H coplanar in the attached image.
    5·1 answer
  • How does multiplication relate to time conversions
    9·1 answer
  • Y=6x^2, y=-4.5x^2,y=-x^2 <br> Widest to narrowest
    5·1 answer
  • What are the easy ways to complete problems like these?
    13·1 answer
  • I don't get how any of these answers could be it.
    13·1 answer
  • At the first track meet, Lonnie threw the shot put 51 1/3 feet. At the second track meet he threw the shot put 54 1/2 feet. Writ
    14·1 answer
  • F(x) = x3 + 5x2 - x - 5<br><br> What are the factors of f(x)?
    10·1 answer
  • If cose &lt; 0 and cote &gt; 0, then the terminal point determined by e is in:
    12·1 answer
  • In this given figure find the value of x​
    10·2 answers
  • uincy feeds his dog 2.75 cups of dog food each day. Each cup of dog food costs $1.25. He multiplies the numbers together to dete
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!