A research team conducted a study showing that approximately 20% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain, diminishing cerebral functions. At a board meeting of 15 businessmen, all of whom wear ties, what are the following probabilities?

(a) at least one tie is too tight

(b) more than two ties are too tight

(c) no tie is too tight

(d) at least 13 ties are not too tight

Answer:

(50+20) +37=70+37=107

Answer:

42 inches

Step-by-step explanation:

1. To convert feet into inches, multiply the # of feet by 12.

Therefore, 3 1/2 feet in inches is 42 inches.

Answer:

42 inches

Step-by-step explanation:

3.5 feet x 12 inches = 42 inches

Answer: 171 attendees

Step-by-step explanation:

I answered another similar question by you earlier, so I really hope you read through this explanation, as I will go far in depth.  It's important you learn to do this so as not to simply skate through homework, then struggle with assessment.

For this problem, you have to find something called a unit price.

A unit price is the price in dollars per thing.

In this case, the price in dollars for the whole group is $132 for many things, 66 attendees.

Because 66 attendees costs $132, to find out how much money a single attendee costs, simply divide $132 by 66 to get 2$ for 1 attendee.

With this information, it is very straightforward to determine the number of attendees for $342.  Simply divide $342 by $2 to get 171 attendees.

I really hope it helps :) and please, let me know if you want me to explain in more depth, the unit you are currently in is a fundamental part of early math, and it is important you understand it.

Answer:

yes these all are correct

Answer:

x>5

Step-by-step explanation:

If you plug in 5,  5-8>-3 that is -3>-3 so you know that x has to be greater than 5.

Answer:

answer is y=1x/6 +2. or y= X+ 12/6

Step-by-step explanation:

y-3 = 1/6(x-6)

y-3= 1x/6 -1

y = 1x/6 -1+3

y. = 1x/6 +2. or y= X+ 12/6

Answer:

I really need points

Good luck with your question tho

Answer:

A triangle that has no equal sides is a scalene triangle.

Answer: 80 minutes

Step-by-step explanation:in the picture

Answer:

19

Step-by-step explanation:

9+10=19

please mark me brainliest

Answer:

21 ^^

jk jk lol 19 >->

but reality... i believe it's 2356486513

Using the Empirical Rule, it is found that:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem:

First, by the Empirical Rule, 95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.

0.33 ounces is one standard deviation above the mean.

0.16 = 16% probability that a K-cup will have more than .33 ounces.

16% weigh less than 0.23 ounces. Out of 128:

[tex]0.16(128) = 20[/tex]

20 of them will weight less than 0.23 ounces.

5% of the measures are more than 2 SD from the mean. Due to the symmetry of the normal distribution, 2.5% are more than 2 SD below the mean, thus, 2.5% of K-cups are considered weak.

Thus, the proportion between 0.23 and 0.38 is:

[tex]p = 0.68(0.50) + 0.95(0.5) = 0.815[/tex]

Out of 44:

[tex]0.815(44) = 36[/tex]

36 will weigh between 0.23 and 0.38 ounces.

68% are within 1 standard deviation of the mean.

Out of 44:

[tex]0.68(44) = 30[/tex]

30 of the Sam's Club box of K-cups are ideal.

A similar problem is given at https://brainly.com/question/13503878

Answer:

xx=15.86

Step-by-step explanation:

6.4/3.5, OR about 1.83

First job is to isolate the y.

3.5y=6.4x+7

Now divide both sides by 3.5 to get the equation into y=mx+b form.

That leaves a rounded equation of y=1.83x+2

In y=mx+b, the m is the slope. This means the slope of this line is 1.83, or 6.4/3.5

Answer:

cos(30) = (sqrt(3)/2) * cos(0)    

Step-by-step explanation:

cos(0) = 1

cos(30) = sqrt(3)/2

Thus, we can write that:

cos(30) = (sqrt(3)/2) * cos(0)

Answer:

[tex]\frac{1}{14}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4} + \frac{23}{28} - 1 = ?[/tex]

First off, let's change everything to a common denominator. This will allow us to add the fractions!

To find a common denominator, we find a number that both 4, 28, and 1 can go into. 28 is the best choice, as 4 goes into it 7 times, 28 goes into it once, and 1 goes into it 28 times.

Let's change the first fraction into a number with a denominator of 28!

[tex]\frac{1}{4} * \frac{7}{7} = \frac{7}{28}[/tex]

[tex]\frac{7}{7}[/tex] = 1. Multiplying a number by one doesn't change its value.

The second fraction, [tex]\frac{23}{28}[/tex], already has a denominator of 28, so we don't have to do anything with it.

Now to the third number, -1:

[tex]-1 = -\frac{1}{1} * \frac{28}{28} = -\frac{28}{28}[/tex]

Now, let's add them all up!

[tex]\frac{7}{28} + \frac{23}{28} - \frac{28}{28} = \frac{7 + 23 - 28}{28} = \frac{2}{28}[/tex]

One last step, to simplify:

[tex]\frac{2}{28} = \frac{1}{14}[/tex]

Answer:

18 gallons

Step-by-step explanation:

We'll find out how much of the total container was lost when pouring out by subtracting 2/3 from 1/2.

2/3 = 4/6

1/2 = 3/6

4/6 - 3/6 = 1/6

1/6 of the total amount the container could hold was lost when 3 gallons was poured out. This means that 1/6 of the container equals to 3 gallons. We can then simply multiply 3 by 6 to find the number of gallons of liquid the container can hold.

3 * 6 = 18 gallons

Checking my answer:

18 * 2/3 = 6 * 2 = 12

12 - 3 = 9

1/2 of 18 = 9

This means that our answer is correct.

Answer:

Step-by-step explanation:

Answer:

D. -1 < x < 3

Step-by-step explanation:

The given function is negative between the x - intercepts  -1 and  3.

Your choice is correct.

Answer:

.47 because 7/15 is 0.466

Step-by-step explanation:

Answer:

D. X=-2

Step-by-step explanation:

Answer:

181.25 square feet

1/6 quart water

1/18 cup milk

1/3 beef bouillon cube, and 2/3 a large carrot

Step-by-step explanation:

Answer:

4^(-14)

Step-by-step explanation:

When multiplying or dividing powers of the same number, you can just add or subtract the powers.

Answer:

- 1/64 (x+4)² (x-3) (x-4) = 0

Step-by-step explanation:

f(x) = a (x+4)²(x-3)(x-4)   ... curve touch (-4,0) and not cross x axis

x=0   f(x) = -3

a (4)² * (-3) * (-4) = -3

a = - 1/64

- 1/64 (x+4)² (x-3) (x-4) = 0

Answer:

20 laps

Step-by-step explanation:

18 divide by 4 = 4.5

so 1 lap equals 4.5 minutes

and 1 and half hours is 90 minutes so 90 divide by 4.5 = 20 laps

Answer:

Step-by-step explanation:

It's the third one. You avoid paying fees and interest. Smart people keep their credit cards at a zero balance for just that reason. Moral: don't buy what you cannot afford to pay off immediately.

Answer: It's C , "You have less of your credit limit available, therefore, less temptation to spend"

Step-by-step explanation:

The functions are illustrations of trigonometry ratios

[tex]\mathbf{(a)\ cos\theta = \frac{\sqrt{15}}{5}}[/tex]

The sine of an angle is calculated as follows

[tex]\mathbf{sin\theta = \sqrt{1 - cos^2\theta}}[/tex]

So, we have:

[tex]\mathbf{sin\theta = \sqrt{1 - (\sqrt{15}/5)}}[/tex]

[tex]\mathbf{sin\theta = \sqrt{1 - (15/25)}}[/tex]

Take LCM

[tex]\mathbf{sin\theta = \sqrt{\frac{10}{25}}}[/tex]

[tex]\mathbf{sin\theta = \frac{\sqrt{10}}{5}}[/tex]

[tex]\mathbf{(b)\ tan\theta = \frac{\sqrt{10}}{2}}[/tex]

The tangent of an angle is:

[tex]\mathbf{\ tan\theta = \frac{Opposite}{Adjacent}}[/tex]

Using Pythagoras theorem, we have:

[tex]\mathbf{Hypotenuse^2 = Opposite^2 + Adjacent^2}[/tex]

So, we have:

[tex]\mathbf{Hypotenuse^2 = (\sqrt{10})^2 + 2^2}[/tex]

[tex]\mathbf{Hypotenuse^2 = 10 + 4}[/tex]

[tex]\mathbf{Hypotenuse^2 = 14}[/tex]

Take square roots

[tex]\mathbf{Hypotenuse = \sqrt{14}}[/tex]

So, the sine of the angle is:

[tex]\mathbf{\ sin\theta = \frac{Opposite}{Hypotenuse}}[/tex]

[tex]\mathbf{\ sin\theta = \frac{\sqrt{10}}{\sqrt{14}}}[/tex]

Rationalize

[tex]\mathbf{\ sin\theta = \frac{\sqrt{140}}{14}}[/tex]

[tex]\mathbf{(c)\ csc\theta = \frac{\sqrt{15}}{3}}[/tex]

The sine of the angles is:

[tex]\mathbf{sin \theta = \frac{1}{csc\theta}}[/tex]

So, we have:

[tex]\mathbf{sin \theta = \frac{1}{\sqrt{15}/3}}[/tex]

[tex]\mathbf{sin \theta = \frac{3}{\sqrt{15}}}[/tex]

Rationalize

[tex]\mathbf{sin \theta = \frac{3\sqrt{15}}{15}}[/tex]

[tex]\mathbf{sin \theta = \frac{\sqrt{15}}{5}}[/tex]

[tex]\mathbf{(d)\ sec\theta =\frac{\sqrt 6}{3}}}[/tex]

The sine of an angle is calculated as follows

[tex]\mathbf{sin\theta = \sqrt{1 - (1/sec\theta)^2}}[/tex]

So, we have:

[tex]\mathbf{sin\theta = \sqrt{1 - (3/\sqrt 6)^2}}[/tex]

[tex]\mathbf{sin\theta = \sqrt{(1 - 9/6)}}[/tex]

[tex]\mathbf{sin\theta = \sqrt{( - 3/6)}}[/tex]

The sine of the angle does not have a real value

[tex]\mathbf{(e)\ cot\theta = \frac{\sqrt 6}{2}}[/tex]

Start by calculating the tangent of the angle

[tex]\mathbf{tan\theta = \frac{1}{cot\theta}}[/tex]

So, we have:

[tex]\mathbf{tan\theta = \frac{1}{\sqrt 6/2}}[/tex]

[tex]\mathbf{tan\theta = \frac{2}{\sqrt 6}}[/tex]

Rationalize

[tex]\mathbf{tan\theta = \frac{2\sqrt 6}{6}}[/tex]

[tex]\mathbf{tan\theta = \frac{\sqrt 6}{3}}[/tex]

The tangent of an angle is:

[tex]\mathbf{\ tan\theta = \frac{Opposite}{Adjacent}}[/tex]

Using Pythagoras theorem, we have:

[tex]\mathbf{Hypotenuse^2 = Opposite^2 + Adjacent^2}[/tex]

So, we have:

[tex]\mathbf{Hypotenuse^2 = (\sqrt{6})^2 + 3^2}[/tex]

[tex]\mathbf{Hypotenuse^2 = 6 + 9}[/tex]

[tex]\mathbf{Hypotenuse^2 = 15}[/tex]

Take square roots

[tex]\mathbf{Hypotenuse = \sqrt{15}}[/tex]

So, the sine of the angle is:

[tex]\mathbf{\ sin\theta = \frac{Opposite}{Hypotenuse}}[/tex]

[tex]\mathbf{\ sin\theta = \frac{\sqrt{6}}{\sqrt{15}}}[/tex]

Rationalize

[tex]\mathbf{\ sin\theta = \frac{\sqrt{90}}{15}}[/tex]

Rewrite as:

[tex]\mathbf{\ sin\theta = \frac{3\sqrt{10}}{15}}[/tex]

[tex]\mathbf{\ sin\theta = \frac{\sqrt{10}}{5}}[/tex]

Read more about trigonometry ratios at:

https://brainly.com/question/24888715

Answer:

All the options are correct