Through what angle does the bowling ball turn as it travels the length of the lane

Carrie needs to determine the number of tiles that will fit in each row along the back of the shower. If the back of the shower

SVEN [57.7K]

You need to add the dimensions

8 0

3 years ago

There are six wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attac

lesya692 [45]

Answer:

$S=720$

Step-by-step explanation:

From the question we are told that

Six wire are attached to a circuit board

Generally using multiplication rule

Let number of possible sequence be given as S

Mathematically

$S=6! =6*5*4*3*2*1=720$

Therefore

Number of possible sequence $S=720$

5 0

3 years ago

A business executive, transferred from Chicago to Atlanta, needs to sell her house in Chicago quickly. From conversations with h

Oksi-84 [34.3K]

Answer:

The standard deviation of the price she will get is $8,371.58.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The variance of the uniform distribution is given by:

$V = \frac{(b-a)^{2}}{12}$

The standard deviation is the square root of the variance.

Uniformly distributed between $204,000 and $233,000

This means that $a = 204000, b = 233000$

So

$V = \frac{(b-a)^{2}}{12} = \frac{(233000 - 204000)^{2}}{12} = 70,083,333.33$

The standard deviation is the square root of the variance. So

$S = \sqrt{70,083,333.33} = 8,371.58$

The standard deviation of the price she will get is $8,371.58.

8 0

3 years ago

6.8 Use the Normal approximation. Suppose we toss a fair coin 100 times. Use the Normal approximation to find the probability th

Maru [420]

Answer:

(a) The probability that proportion of heads is between 0.30 and 0.70 is 1.

(b) The probability that proportion of heads is between 0.40 and 0.65 is 0.9759.

Step-by-step explanation:

Let X = number of heads.

The probability that a head occurs in a toss of a coin is, p = 0.50.

The coin was tossed n = 100 times.

A random toss's result is independent of the other tosses.

The random variable X follows a Binomial distribution with parameters n = 100 and p = 0.50.

But the sample selected is too large and the probability of success is 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of $\hat p$  (sample proportion of X) if the following conditions are satisfied:

np ≥ 10
n(1 - p) ≥ 10

Check the conditions as follows:

$np=100\times 0.50=50>10\\n(1-p)=100\times (1-0.50)=50>10$

Thus, a Normal approximation to binomial can be applied.

So, $\hat p\sim N(p,\ \frac{p(1-p)}{n})$

$\mu_{p}=p=0.50\\\sigma_{p}=\sqrt{\frac{p(1-p)}{n}}=0.05$

(a)

Compute the probability that proportion of heads is between 0.30 and 0.70 as follows:

$P(0.30$

$=P(-4$

Thus, the probability that proportion of heads is between 0.30 and 0.70 is 1.

(b)

Compute the probability that proportion of heads is between 0.40 and 0.65 as follows:

$P(0.40$

$=P(-2$

Thus, the probability that proportion of heads is between 0.40 and 0.65 is 0.9759.

6 0

3 years ago

An angle that is greater then 90 degrees and less then 180degrees

salantis [7]

It would be an obtuse angle :)

4 0

3 years ago