Find the measure of the exterior <1.
​

Answer:

20 hours

Step-by-step explanation:

[tex]\frac{15}{24}[/tex]=[tex]\frac{18}{x}[/tex]

15÷18=1.2

x=24÷1.2= 20 hours

20 hours is the answer

The time taken by 18 caterpillars to eat the entire Bush in Violetta's front yard is 20 hours.

Time taken is the inverse of the rate of work.

As it is given that the time taken by 15 caterpillars to eat all the leaves on the bush in Violetta's front yard is 24 hours, therefore, the rate at which the 15 caterpillars eat the leaves can be written as,

[tex]\rm Rate = \dfrac{\text{Number of Bush That caterpillars eat}}{\text{Time taken by the caterpillars}}[/tex]

[tex]\rm Rate = \dfrac{1}{24}[/tex]

Now, as it is the rate of 15 caterpillars, therefore, the rate of a single caterpillar can be written as,

[tex]\rm Rate = \dfrac{\frac{1}{24}}{15} = \dfrac{1}{24 \times 15}[/tex]

Now, the time taken by 18 caterpillars can be written as,

[tex]\rm Time\ taken = \dfrac{Work}{Rate \times 18}\\\\\rm Time\ taken = \dfrac{1}{\dfrac{1}{24 \times 15}\times 18}\\\\Time \taken = \dfrac{24 \times 15}{1 \times 18} = 20 \ hours[/tex]

hence, the time taken by 18 caterpillars to eat the entire Bush in Violetta's front yard is 20 hours.

Learn more about Work and Time:

https://brainly.com/question/8536605

Answer:

Answer:

12 m

Step-by-step explanation:

this  is anwer

Answer:

When the water level is at the "-4" mark on the pole, the river is 4 feet  below the flood stage.

Step-by-step explanation:

Given

[tex]Flood\ stage = 0[/tex]

Required

What does -4 represents

From the question, we can deduce that:

[tex]Above = +ve\ intervals[/tex]

[tex]Below = -ve\ intervals[/tex]

-4 belongs to the "below" category.

Hence, -4 mark represents 4 feet below the flood stage

9514 1404 393

Answer:

  W(x) = 0.06x +30

Step-by-step explanation:

The withholding on the student's salary is ...

  W(S(x)) = 0.10(0.60x +300) = 0.06x +30

Where x is the number of ice cream bars sold, the withholding is ...

  W(x) = 0.06x +30

Answer:

Step-by-step explanation:

Step 1: let's divide the total tickets into 2 respectively ie 18÷2=9

Step2: nw let's divede the 9 into 2 respectively and that give us 4.5. since her sister has as twice if many tickets therefore karyl has 4.5 tickets.

Answer:

Step-by-step explanation:

Divided the first 2 numbers by eachother and then by four use a calculator

Answer:

1146198.07

Step-by-step explanation:

Answer:

100-32=68

Step-by-step explanation:

there are 68 feets on the playground

Answer: I beleive its B, C, and E

Step-by-step explanation:

HOpe this helps

Answer:

a^2 b^7

Step-by-step explanation:

I believe this is right

Answer:

28 square ft

Step-by-step explanation:

the whole rectangle is 5X8 = 40

Now subtrast 2 rectangle of 2x3

2(2x3) =   2x6 =  12

40-12 = 28

Answer:

-5.625 in/hour

Step-by-step explanation:

−2 1/4 * 2 1/2 = -5.625 in/hour

Given:

[tex]\theta[/tex] is an angle in quadrant IV that has reference [tex]\dfrac{\pi}{3}[/tex].

To find:

The value of [tex]\sin \theta[/tex].

Solution:

We know that only cos and sec are positive in quadrant IV and all other trigonometric ratios are negative in quadrant IV.

Since [tex]\theta[/tex] is an angle in quadrant IV that has reference [tex]\dfrac{\pi}{3}[/tex], therefore the value of [tex]\sin \theta[/tex] must be negative.

[tex]\sin \theta=-\sin \dfrac{\pi}{3}[/tex]

[tex]\sin \theta=-\dfrac{\sqrt{3}}{2}[/tex]

Therefore, the required value is [tex]\sin \theta=-\dfrac{\sqrt{3}}{2}[/tex].

Answer:

C

Step-by-step explanation:

8+q=17

17-8=9

The answer is 9

You would replace p in the equation with 8, then subtract 8 from 17 leaving you with 9

Answer:

4.75

Step-by-step explanation:

Answer:

5 years.

Step-by-step explanation:

3000x.06=180 interest per year.

900/180 =5 years.

Answer: 132 handshakes in total

Step-by-step explanation: 11x12 because one of them will be the one shaking hands with everyone else so he would have gotten 11 hands shaked so everyone would have gotten their hands shaked 11 times

Answer:

A) 65

B) 5

C) 242

D) 531

E) 36

Step-by-step explanation:

A) Let the unknown term be x.

Difference between 5 & 9 = 4

Difference between 9 & 17 = 8 = 4×2

Difference between 17 & 33 = 16 = 8×2

It is observed that the difference between two terms is getting doubled. So,

Difference between 33 & x = 16×2 = 32

∴ x = 33 + 32 = 65

B) Let the unknown term be x.

Difference between 20 & 12 = 8

Difference between 12 & 8 = 8/2 = 4

Difference between 8 & 6 = 4/2 = 2

It is observed that the difference between two terms is getting halved.

Difference between 6 & x = 2/2 = 1

∴ x = 6 - 1 = 5

C) Let the unknown term be x.

Difference between 2 & 8 = 6

Difference between 8 & 26 = 18 = 6×3

Difference between 26 & 80 = 54 = 18×3

It is observed that the difference between two terms is getting tripled.

Difference between 80 & x = 54×3 = 162

∴ x = 80 + 162 = 242

D) Let the unknown term be x.

Difference between 36 & 69 = 33

Difference between 69 & 135 = 66 = 33×2

Difference between 135 & 267 = 132 = 66×2

It is observed that the difference between two terms is getting doubled.

Difference between 267 & x = 132×2 = 264

∴ x = 267 + 264 = 531

E) Let the unknown term be x.

4 = 2²

9 = 3²

16 = 4²

25 = 5²

It is observed that all the terms in the sequence are squares of consecutive natural numbers.

So, x = 6² = 36

━━━━━━━━━━━━━━━━━━━━━━

Formula for finding the volume of cone - ⅓πr2h

Formula for finding the volume of cylinder - πr2h

Formula for finding the volume of Triangular Prism - Bh

Formula for finding the volume of Rectangular Prism - lwh

Formula for finding the volume of Pyramid - ⅓Bh

━━━━━━━━━━━━━━━━━━━━━━

Answer:

Pyramid: 1/3 B x H Triangular: B x H Cone: 1/3 pi r^2 x H Rectangular Prism: L x W x H Cylinder: pi r^2 x H

Step-by-step explanation:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]

Score on first day = - 4

Score on second day = - 6

Total score = ?

Total score = Score on first day + score on second day

Total score = - 6 + - 4

Total Score = -10

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Answer:

D.) 10 2/3 square feet

Step-by-step explanation:

The area will change by [tex](\frac{2}{3}) ^2=\frac{4}{9}[/tex]

multiply the area by 4/9 and you get 32/3 = 10 and 2/3 (because 10 = 30/3)

Answer:

well in my school its that in honors math you are doing the math of next year kinda like ap math and regular your doing your school year math but im not fully sure if it works like that every where  

Step-by-step explanation:

Answer: it’s just as good as honors but you go faster and it’s a bit more complicated in honors classes for me at least it’s nothing too bad (this is my school system so it might be different for everyone :P)

Step-by-step explanation:

I have almost all honors except math too cause maths isn’t my favorite subject and I’m not so good at it :> I still get good grades tho so ya honors=regular—> mostly the same, has some differences

Answer:

0.4629 = 46.29% probability that the manager finds more than two such transactions

Step-by-step explanation:

For each transaction, there are only two possible outcomes. Either there is a procedural error, or there is not. The probability of a procedural error on a transaction is independent of any other transaction. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A manager randomly selected 25 large cash transactions at a bank that were made in January.

This means that [tex]n = 25[/tex]

The chance for a procedural error is 10%

This means that [tex]p = 0.1[/tex]

What is the probability that the manager finds more than two such transactions?

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{25,0}.(0.1)^{0}.(0.9)^{25} = 0.0718[/tex]

[tex]P(X = 1) = C_{25,1}.(0.1)^{1}.(0.9)^{24} = 0.1994[/tex]

[tex]P(X = 2) = C_{25,2}.(0.1)^{2}.(0.9)^{23} = 0.2659[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0718 + 0.1994 + 0.2659 = 0.5371[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5371 = 0.4629[/tex]

0.4629 = 46.29% probability that the manager finds more than two such transactions

Using the binomial probability relation, the probability that more than 2 such transactions is made is 0.463

Given the Parameters :

Using the relation :

Substituting the values into the relation :

P(X > 2) = P(X = 3) + P(X = 4) +... + P(X = 25)

Using a binomial probability calculator :

P(X > 2) = P(X = 3) + P(X = 4) +... + P(X = 25)

P(X > 2) = 0.226 + 0.138 +... +..

P(X > 130) = 0.463

The probability that more than 2 such transactions is made is 0.463

Learn more : https://brainly.com/question/15607519

Step-by-step explanation:

use the a method called tan which to find the answer u will divide 4 divide by 2 and then you find the tan of 2 to get the answer then you find tan inverse with calculator yo get the correct answer

Answer:

Step-by-step explanation:

Answer:

120-(30+48)= 42

Step-by-step explanation:

Answer:

24 miles

Step-by-step explanation:

Please find attached a diagram explaining the question

this would be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

15² + 19²

225 + 361

586

the square root of 586 = 24 miles