1/4 rotation counterclockwise

Answer:

How much compound interest is earned at 35 years? 850

How much simple interest is earned at 35 years? 600

How much more compound interest than simple interest is earned after 35 years? 250

Step-by-step explanation:

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

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well, to do this we first need to find the mean of all values.

we need to find the distance of each value from that mean (subtract the mean from each value, ignore minus signs)

Then find the mean of those distances.

so, after we do all of that with the given numbers, our final result would be 2.333333333..... (It goes on) we round it up to 2.3, and viola! the answer is C.

Answer: the answer is c

Step-by-step explanation: i took the test

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:

Option D

Step-by-step explanation:

Formula to use: V=[tex]\frac{1}{2}(b*a)*h\\[/tex]

b=base of triangle   a=altitude of triangle  h=height of prism

Doing [tex]\frac{1}{2}(b*a)[/tex] is essentially finding the area of the triangle and after multiplying by h will give you the volume of the triangular prism.

Solve: V = [tex]\frac{1}{2}(3*3)*7[/tex]  or option D

Ps. Altitude is perpendicular or 90 degrees to the side I used for the base, so it wouldn't be option C.

Answer:

This is very confusing.

Can you try and make this a shorter question for me to answer?

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

7x8=56

Step-by-step explanation:

7(8)

= 56

use tye substitution property

Answer: Rs. 11,520

Step-by-step explanation:

As the method of compounding is not stated, the default of simple interest will be used.

Simple interest is a fixed amount that is paid over the course of the loan and is based on the original amount borrowed.

Formula is:

Amount owed = Amount borrowed * ( 1 + rate * time)

= 8,000 * ( 1 + 8% * 5.5 years)

= 8,000 * 1.44

= rs 11,520

Answer:

divide the diameter by 2

Answer:

r =2.2%

Step-by-step explanation:

Answer:

x=33

Step-by-step explanation:

If you didn't know all of the angles in a triangle add up to equal 180

We are given to angles, 90 (the square indicates that its a right angle which is equal to 90) and 57

So to find the missing anlge we subtract the given angles from 180

180-90=90

90-57=33

therefore x=33

im just gonna take the points for falling for that.

Answer:

Step-by-step explanation:

first off we need to know the original sample size and if it is in there then im just cant see it

Answer:

28 i think

Step-by-step explanation:

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:

A≈494.13

R = 12.54

D = 25.08

Step-by-step explanation:

Here is all the answers.

PLZZZZ give me brainliest!!!

Hi there!

[tex]\large\boxed{8(5+3)}}[/tex]

The greatest common factor of 40 and 24 is 8.

8 goes into 40 5 times:

8 goes into 24 3 times.

We can rewrite this expression for distribution using the amount of times 8 goes into both numbers:

8(5 + 3)

Using this, we get:

8(5) + 8(3) = 40 + 24.

Answer:

80

Step-by-step explanation:

the combined angles of any triangle equal 180 degrees. take the known angles ( 50 and 50) and subtract their sum from 180. 180-100=80

Answer:

1.478

Step-by-step explanation:

9514 1404 393

Answer:

  8

Step-by-step explanation:

If the bags can either be given or not, each bag can assume one of two states. In order for there to be 200 possible combinations of items in one of two states, there must be at least log2(200) = 7.64 items. The minimum number of bags is x = 8.

_____

The contents of the 8 bags will be Rs. 1, 2, 4, 8, 16, 32, 64, 73.

Answer:

Picture would be appreciated.

Answer:

84.13% of the lots received by the manufacturer will be returned to the supplier

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that the mean length of the rods in each lot is 4 meters and standard deviation is 0.04 meter.

This means that [tex]\mu = 4, \sigma = 0.04[/tex]

Sample of 64:

This means that [tex]n = 64, s = \frac{0.04}{\sqrt{64}} = 0.005[/tex]

a) What percentage of the lots received by the manufacturer will be returned to the supplier

The proportion is the pvalue of Z when X = 4.005. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{4.005 - 4}{0.005}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

0.8413*100% = 84.13%

84.13% of the lots received by the manufacturer will be returned to the supplier

Answer:

66

Step-by-step explanation:

multiply everything together

Answer:

3rd choice down. . . . . . .

x≥14  plz give me brainlyest

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:

1/100

Step-by-step explanation: