What is the length of the diagonal (d) is the solid below

Which term is a perfect square of the root 3x^4

Juli2301 [7.4K]

9x^8

lmk if this helped :)

3 0

3 years ago

We have n = 100 many random variables Xi ’s, where the Xi ’s are independent and identically distributed Bernoulli random variab

777dan777 [17]

Answer:

(a) The distribution of $X=\sum\limits^{n}_{i=1}{X_{i}}$ is a Binomial distribution.

(b) The sampling distribution of the sample mean will be approximately normal.

(c) The value of $P(\bar X>0.50)$ is 0.50.

Step-by-step explanation:

It is provided that random variables $X_{i}$ are independent and identically distributed Bernoulli random variables with p = 0.50.

The random sample selected is of size, n = 100.

(a)

Theorem:

Let $X_{1},\ X_{2},\ X_{3},...\ X_{n}$ be independent Bernoulli random variables, each with parameter p, then the sum of of thee random variables, $X=X_{1}+X_{2}+X_{3}...+X_{n}$ is a Binomial random variable with parameter n and p.

Thus, the distribution of $X=\sum\limits^{n}_{i=1}{X_{i}}$ is a Binomial distribution.

(b)

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

The sample size is large, i.e. n = 100 > 30.

So, the sampling distribution of the sample mean will be approximately normal.

The mean of the distribution of sample mean is given by,

$\mu_{\bar x}=\mu=p=0.50$

And the standard deviation of the distribution of sample mean is given by,

$\sigma_{\bar x}=\sqrt{\frac{\sigma^{2}}{n}}=\sqrt{\frac{p(1-p)}{n}}=0.05$

(c)

Compute the value of $P(\bar X>0.50)$ as follows:

$P(\bar X>0.50)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{0.50-0.50}{0.05})\\$

$=P(Z>0)\\=1-P(Z$

*Use a z-table.

Thus, the value of $P(\bar X>0.50)$ is 0.50.

8 0

3 years ago

Quadrilateral ABCD is inscribed in a circle. What is the measure of angle A?

Anvisha [2.4K]

Angle A measures to 59 degrees.

5 0

3 years ago

A box contains 13 red blocks, 8 orange blocks, 9 green blocks, and 10 blue blocks. Anna randomly chooses a block from the box.

Vinvika [58]

Im 90% sure its 0.21

hope I helped

3 0

3 years ago

Find the measure of the indicated angle to the nearest degree

Alisiya [41]

Answer:

The answer to your question is below

Step-by-step explanation:

14) sin Ф = 32/33

sin Ф = 0.9697

Ф = 75.86°

15) sin Ф = 16/36

sin Ф = 0.444

Ф = 26.39°

16) sin Ф = 29/36

sin Ф = 0.806

Ф = 53.66°

17) cos Ф = 11/34

cos Ф = 0.324

Ф = 71.12°

18) sin Ф = 21/40

sin Ф = 0.525

Ф = 31.67°

19) cos Ф = 6/14

cos Ф = 0.429

Ф = 64.62°

20) cos Ф = 38/39

cos Ф = 0.974

Ф = 13°

3 0

3 years ago