All categories

3 years ago

20 points! I'm desperate! Find the 6th term in the geometric sequence: 11, -44, 176...

2 answers:

6 0

So in this equation, I can easily see how each answer is multiplied by -4. 11 x -4 = -44. -44 x -4 = 176. 176 x -4 = -704. and the forth term is -704 x -4 which is 2816.

shutvik [7]3 years ago

3 0

$t_{n}=11(-4)^{n-1}-\ \textgreater \ t_{6}=11(-4)^5=-11264$

You might be interested in

Two negative integers have a sum of -12 and a

emmainna [20.7K]

Answer:

The two integers are -1 and -11

Step-by-step explanation:

If you add -1 to -11, you would apply the rule of adding negatives (add then put the sign of the larger number). 11+1=12. They are both negative, so it would then become -12. -1 X -11=11 because when multiplying negatives, two of the same sign are positive

7 0

4 years ago

What is The difference of 3 and a number X

slamgirl [31]

Answer:

"the difference of" means to subtract

Therefore, "the difference of 3 and a number" would be:

3-x

Step-by-step explanation:

7 0

3 years ago

Wally bakes muffins. in each batch of 12 muffins, he bakes 8 bluberry muffins write in simplest form the fraction of muffins tha

Flauer [41]

4/12 = 1/3 muffins are not blueberry

6 0

3 years ago

See attachment for help.

Tema [17]

the correct answer is B.

7 0

3 years ago

Ricardo and Tammy practice putting golf balls. Ricardo makes 47% of his putts and Tammy makes 51% of her putts. Suppose that Ric

yaroslaw [1]

Answer:

0.3821 = 38.21% probability that Ricardo makes a higher proportion of putts than Tammy.

Step-by-step explanation:

To solve this question, we need to understand the normal distribution, the central limit theorem, and subtraction of normal variables.

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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction of normal variables:

When we subtract normal variables, the mean of the subtraction will be the subtraction of the means, while the standard deviation will be the square root of the sum of the variances.

Ricardo makes 47% of his putts, and attempts 25 putts.

By the Central Limit Theorem, we have that:

$\mu_R = 0.47, s_R = \sqrt{\frac{0.47*0.53}{25}} = 0.0998$