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3 years ago

Calculate cos theta where theta is the angle between u and v

1 answer:

3 0

You need to upload the image if you want the answer.
However, I can explain how to solve the problem so that you can determine the angle.

cos theta = side opposite of theta divided by the hypotenuse.

Reminder that the hypotenuse is the side NOT touching the 90° angle.

Hope this helps! If not, upload an image of the drawing.

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Roll a pair of dice until it lands doubles.What is the probability you will get the first doubles within three rolls? (Correct t

mr Goodwill [35]

Answer:

Probability of rolling doubles in first three roles = 0.4124

Probability of it taking between 5 to 7 rolls = 0.1988

Step-by-step explanation:

Let's start by the total number of possible outcomes. This is 6 for one dice, and 6 for the other. So in total that's 6 x 6 = 36 different outcomes of the dice roll.

The number of ways we can roll a double is 6.

So the probability of rolling a double would be the number of ways to roll a double divided by the total possible outcomes.

This is : $\frac{6}{36}$ = 0.1667

The probability of NOT rolling a double: 1 - 0.1667 = 0.8333

Since the probability of rolling a double is equal to 1 - probability of not rolling a double, we can answer the first question in the following way.

The probability of NOT rolling a double for the first THREE turns: 0.8333 x 0.8333 x 0.8333 = 0.5786

Probability of rolling a double in first THREE turns: 1 - 0.5786 = <u>0.4124</u>

The probability it will take between 5 to 7 rolls would be:

EQUATION 1: (probability of rolling no doubles in first 4 turns) x (probability of rolling a double in the next three turns)

Since we have already found the probability of rolling a double in three turns to be 0.4124, all we need to find is the probability of NOT rolling a double in the first four turns.

This is: 0.8333 * 0.8333 * 0.8333 * 0.8333 = 0.4822

Plugging this into EQUATION 1 we get: 0.4822 * 0.4124 = <u>0.1988</u>

5 0

3 years ago

A delicatessen offers 4 different breads, 4 cheeses, and 6 different meats. In how many ways can a sandwich be made with 1 bread

Len [333]

Answer:

360

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Suppose 45% of the population has a college degree.

levacccp [35]

Using the normal distribution, there is a 0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1 - p)}{n}}$ , as long as $np \geq 10$ and $n(1 - p) \geq 10$ .

The proportion estimate and the sample size are given as follows:

p = 0.45, n = 437.

Hence the mean and the standard error are:

$\mu = p = 0.45$

$s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.45(0.55)}{437}} = 0.0238$

The probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3% is <u>2 multiplied by the p-value of Z when X = 0.45 - 0.03 = 0.42</u>.

Hence:

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

By the Central Limit Theorem:

$Z = \frac{X - \mu}{s}$

Z = (0.42 - 0.45)/0.0238

Z = -1.26

Z = -1.26 has a p-value of 0.1038.

2 x 0.1038 = 0.2076.

0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.

More can be learned about the normal distribution at brainly.com/question/28159597

#SPJ1

8 0

2 years ago

Rachel enjoys outdoors. Today she wakes 5 2/3 miles in 2 2/3 hours. What is Rachels unit walking rate in miles per hour and in h

dolphi86 [110]

Answer:

2 1/8 mph.

Step-by-step explanation:

Distance= time x speed

Same way, Distance divided by time=speed.

In this situation, just divide 5 2/3 by 2 2/3.

Hope this helps!

6 0

3 years ago

Standard form to slope-intercept form<br> -4x+y=2

kow [346]

Answer:

y = 4x+2

Step-by-step explanation:

slope intercept form is y = mx+b

so we need to solve for y

-4x+y =2

add 4x to each side

4x-4x+y =+4x+2

y = 4x+2

6 0

3 years ago