help pls thank you
ok byeeee

Answer:

(a) [tex]Selection = 6724520[/tex]

(b) [tex]At\ most\ 12 = 6553976[/tex]

(c) [tex]At\ most\ 8 = 6066720[/tex]

(d) [tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 5896638[/tex]

Step-by-step explanation:

Given

[tex]Colors = 8[/tex]

[tex]Balloons = 28[/tex] --- at least

Solving (a): 28 combinations

From the question, we understand that; a combination of 28 is to be selected. Because the order is not important, we make use of combination.

Also, because repetition is allowed; different balloons of the same kind can be selected over and over again.

So:

[tex]n => 28 + 8-1[/tex][tex]= 35[/tex]

[tex]r = 28[/tex]

[tex]Selection = ^{35}^C_{28[/tex]

[tex]Selection = \frac{35!}{(35 - 28)!28!}[/tex]

[tex]Selection = \frac{35!}{7!28!}[/tex]

[tex]Selection = \frac{35*34*33*32*31*30*29*28!}{7!28!}[/tex]

[tex]Selection = \frac{35*34*33*32*31*30*29}{7!}[/tex]

[tex]Selection = \frac{35*34*33*32*31*30*29}{7*6*5*4*3*2*1}[/tex]

[tex]Selection = \frac{33891580800}{5040}[/tex]

[tex]Selection = 6724520[/tex]

Solving (b): At most 12 red balloons

First, we calculate the ways of selecting at least 13 balloons

Out of the 28 balloons, there are 15 balloons remaining (i.e. 28 - 13)

So:

[tex]n => 15 + 8 -1 = 22[/tex]

[tex]r = 15[/tex]

Selection of at least 13 =

[tex]At\ least\ 13 = ^{22}C_{15}[/tex]

[tex]At\ least\ 13 = \frac{22!}{(22-15)!15!}[/tex]

[tex]At\ least\ 13 = \frac{22!}{7!15!}[/tex]

[tex]At\ least\ 13 = 170544[/tex]

Ways of selecting at most 12  =

[tex]At\ most\ 12 = Total - At\ least\ 13[/tex] --- Complement rule

[tex]At\ most\ 12 = 6724520- 170544[/tex]

[tex]At\ most\ 12 = 6553976[/tex]

Solving (c): At most 8 blue balloons

First, we calculate the ways of selecting at least 9 balloons

Out of the 28 balloons, there are 19 balloons remaining (i.e. 28 - 9)

So:

[tex]n => 19+ 8 -1 = 26[/tex]

[tex]r = 19[/tex]

Selection of at least 9 =

[tex]At\ least\ 9 = ^{26}C_{19}[/tex]

[tex]At\ least\ 9 = \frac{26!}{(26-19)!19!}[/tex]

[tex]At\ least\ 9 = \frac{26!}{7!19!}[/tex]

[tex]At\ least\ 9 = 657800[/tex]

Ways of selecting at most 8  =

[tex]At\ most\ 8 = Total - At\ least\ 9[/tex] --- Complement rule

[tex]At\ most\ 8 = 6724520- 657800[/tex]

[tex]At\ most\ 8 = 6066720[/tex]

Solving (d): 12 red and 8 blue balloons

First, we calculate the ways for selecting 13 red balloons and 9 blue balloons

Out of the 28 balloons, there are 6 balloons remaining (i.e. 28 - 13 - 9)

So:

[tex]n =6+6-1 = 11[/tex]

[tex]r = 6[/tex]

Selection =

[tex]^{11}C_6 = \frac{11!}{(11-6)!6!}[/tex]

[tex]^{11}C_6 = \frac{11!}{5!6!}[/tex]

[tex]^{11}C_6 = 462[/tex]

Using inclusion/exclusion rule of two sets:

[tex]Selection = At\ most\ 12 + At\ most\ 8 - (12\ red\ and\ 8\ blue)[/tex]

[tex]Only\ 12\ red\ and\ only\ 8\ blue\ = 170544+ 657800- 462[/tex]

[tex]Only\ 12\ red\ and\ only\ 8\ blue\ = 827882[/tex]

[tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = Total - Only\ 12\ red\ and\ only\ 8\ blue[/tex]

[tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 6724520 - 827882[/tex]

[tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 5896638[/tex]

Answer:

95% of all students at private universities pay less than $58,302.5.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

Mean of $50,900, standard deviation of $4,500

This means that [tex]\mu = 50900, \sigma = 4500[/tex]

Ninety-five percent of all students at private universities pay less than what amount?

Pay less than the 95th percentile, and the amount is given by X when Z has a pvalue of 0.95, so X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 50900}{4500}[/tex]

[tex]X - 50900 = 1.645*4500[/tex]

[tex]X = 58302.5[/tex]

95% of all students at private universities pay less than $58,302.5.

Answer:

1/100

Step-by-step explanation:

Hope this will help you lot.

Answer:

<MAD=66

Step-by-step explanation:

to find x:

8x-49=3x+6

x=11

to find DMC:

8(11)-49

<DMC=39

<ADM=36

to find ADC:

36/2

<ADC=18

Answer:

I think its 90°

Step-by-step explanation:

I dont know foe suee

Answer:

a = 98⁰

Step-by-step explanation:

According to the the triangle sum thereom, all angles in triangle add up to 180⁰.

m<a + m<b + m<c = 180⁰

m<a + 34⁰ + 48⁰ = 180⁰

m<a + 82⁰ = 180⁰

m<a + 82⁰ - 82⁰ = 180⁰ - 82⁰

m<a = 98⁰

Hope this helps, thank you :) !!

Answer:

$12

Step-by-step explanation:

20% of 60 = 12

Answer:

12 .....20% of 60 is = 12

Step-by-step explanation:

Hi there!

[tex]\large\boxed{\text{None.}}[/tex]

Using the discriminant formula, we can determine if this equation is ever true:

b² - 4ac

Plug in the a, b, and c values from the equation:

(4)² - 4(1)(5)

16 - 20 = -4 < 0

Since the discriminant is less than 0, there are no zeros to the equation. Thus, the equation is never true.

Answer:

Picture would be appreciated.

Answer:

4 inches

Step-by-step explanation:

There are six people total (derek+5 friends)

2 feet = 24 inches

24 inches divided by the 6 people = 4 inches per person

Answer:

168

[tex]3 \times 4 \times 10 + 3 \times 4 \times 4[/tex]

Answer:

C

Step-by-step explanation:

198 cubic meters

Answer:

66

Step-by-step explanation:

multiply everything together

Answer:

Probability that both managers can attend:

Monday- 0.73x0.94 = 0.69

Tuesday- 0.78 x 0.91 = 0.71

So,  d is correct.

Let me know if this helps!

The day Wednesday choose to maximize the probability that both managers will be available. The probability that both managers will be available is 0.71.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability can be defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

Probability that both managers can attend, consider that manager A's availability is independent of manager B's availability,

Monday;

0.73x0.94 = 0.69

Tuesday;

0.78 x 0.91 = 0.71

So, the option d is correct.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ7

Let's say we had a sample of 100 people. We'll split them into two equal groups of 50 each. The two groups will be the treatment and control groups. The treatment group, aka experimental group, is where the actual drug is given. The control group is where the fake drug is given. People in the control group must not know the pill is fake. For more info, check out the placebo effect. In short, this is when a person takes a fake pill and thinks they get better, and that positive mentality helps them actually get better.  

If both the treatment and control groups improve (on average) together, then that means the fake pill is just as good as the real thing. Consequently, it means the real pill isn't effective at all. If on the other hand the experimental group does better overall compared to the control group, then we can see that the real pill is doing what it's intended to do. Of course, there are a lot of complicated factors involved, as there is with anything dealing with medicine. I haven't mentioned anything about side effects or things of that nature. In this simplified viewpoint of the world, we're only considering the one factor of whether or not the drug clears up the psoriasis on the skin.

To make things fair, it's best to randomly generate numbers so that you randomly assign people into each group. That way you have representative samples. Also, when drawing the sample of 100 people, make sure that's as random as possible to help represent the population as best as possible. The fact that the people in the control group not knowing that they are taking the fake pill means we have a single blind experiment. A double blind experiment is when even the researchers are not sure who is taking the real pill vs the fake pill. Double blind experiments are encouraged to prevent the researcher's bias from affecting the results.

To keep participants from knowing whether or not they are in the control group, the common solution is to provide a sugar pill. The pill will not cause any side effects and will not cause any improvements to health. It's simply sugar. To the participant, it seems like the real thing since they can't taste the difference or detect anything seems different.

Answer:

Randomly select a sample of people with psoriasis. Randomly assign them to one of two groups. Give one group the​ treatment, and withhold it from the other group. Give both groups similar looking​ pills, so neither knows which group they are in.

Answer:

the answer is 5

Answer:

33

Step-by-step explanation:

Add 165 and 80 to get 245. 80 times 3 = 240.

So 80 is around 1/3 of 240. In other words it is around 33%

Answer:

5

Step-by-step explanation:

Hope this helps

Step-by-step explanation:

t-24= -37

t= -34+24

t= -13

Answer:

t = -13

Step-by-step explanation:

Add or subtract the numbers

t- 24 = - 37t−24=−37

Separate the constants and variables

t = - 37 + 24t=−37+24

Add or subtract the numbers

t = - 13t

Answer:

Area of ABC is greater than area of DEF

Step-by-step explanation:

Answer:

A. Area of ABC is greater than area of DEF.

Answer:

r =2.2%

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

28 i think

Step-by-step explanation:

[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]

[tex]3/4[/tex] [tex]to[/tex] [tex]the[/tex] [tex]second[/tex] [tex]power[/tex] [tex]is[/tex] [tex]9/16[/tex] [tex]or[/tex] [tex]0.5625[/tex]

[tex]- Yaoii[/tex]

Answer:

3

Step-by-step explanation:

it is 3 3x1 is 3

Answer:

x = 5

Common denominator of 3/x+1 to 1/2

If the numerator is 3 times, then so is the denominator in a proportion.

3/1=x+1/2

x+1 must equal 6 for the proportion to be equal to 1/2.

6-1=5, so x is 5.

im just gonna take the points for falling for that.