in the diagram, which pair of angles are corresponding angles?

A. 1 and 8

b. 4 and 6

c. 3 and 7

d. 2 and 4

Answer:

$12

Step-by-step explanation:

20% of 60 = 12

Answer:

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

Step-by-step explanation:

Answer:

14 dollars

Step-by-step explanation:

42 / 3 = x amount of dollars

14 = x

so every one sweater costs 14 dollars

Answer:

1/100

Step-by-step explanation:

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.

Answer:

3

Step-by-step explanation:

it is 3 3x1 is 3

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:

Answer:

r =2.2%

Step-by-step explanation:

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:

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:

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

Answer:

C

Step-by-step explanation:

198 cubic meters

[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:

Picture would be appreciated.

im just gonna take the points for falling for that.

Answer:

28 i think

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

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:

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:

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:

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:

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

Answer:

the answer is 5

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:

(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]