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Answer:

[tex]1.12 \times 10^{10}[/tex]

Step-by-step explanation:

[tex]2.8 \times 10^4 \times 4 \times 10^5 \text{ // I like to separate the tens from all other numbers}\\\to (2.8 \times 4) \times (10^4 \times 10^5) \text{ // Remember the rule: } a^n \times a^m = a^{n + m}\\\to 11.2 \times 10^{4 + 5}\\\to 11.2 \times 10^9 \text{ // } 11.2 \text{ is equal to } 1.12 \times 10^1\\\to 1.12 \times 10^1 \times 10^9\\\to 1.12 \times 10^{1 + 9}\\\to 1.12 \times 10^{10}[/tex]

Step-by-step explanation:

To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.

Our water faucet leaked 3 2/6 liters of water every 3/5 of a hour. 
We are to find the rate in liter per hour at which the water faucet leaked. 

First, use the number of liters the water faucet leaked in 3/5 of a hour. 

This is 3 2/6 = 20/6

Therefore, the number of liters of water faucet leaked in 1 hour is

(20/6) / (3/5) 

Before we solve this, we should simplify,

20/6 can be simplified to 10/3

3/5 cannot be simplified

Then, we should modify our problem to use reciprocation instead of a complex fraction,

(10 • 5) / (3 • 3) 

This equals 50/9

Now, solve 50/9 for 5.555555555556

This rounds to 5.6

Thus, the required rate at which the water faucet leaked is 5.6 liters per hour.

a)0.250

b)0.606

In the given question , we observe that

at Elmo's an old-fashioned barber shop in Melbourne, Florida ,66% of all customers  get a haircut ,49% get a save and 40% get both.

Probability is simply how likely something is to happen.

Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

The best example for understanding probability is flipping a coin:

There are two possible outcomes—heads or tails.

Independent event:

If two events, A and B are independent then the joint probability is

P(A and B)=P(A∩B)=P(A)P(B)

For example, if two coins are flipped, then the chance of both being heads is 1/2*1/2=1/4

probabilities of different events are:

P(Haircut)=66%=66/100=0.66

P(Shave)=49%=49/100=0.49

P(both)=40%=40/100=0.40

a) we have to find the probability that a randomly selected person doesn't get a shave and doesn't get a haircut.

P(no haircut ∩ no shave)=1-P(haircut ∪ shave)

                                        =1-[P(haircut)+P(shave)-P(both)]

                                         =1-[0.66+0.49-0.40]

                                         =1-0.75

                                         =0.250

b) we have to find the probability that a randomly selected person gets a shave, given that they get a haircut.

P(Shave/Haircut)=P(Both)/P(Haircut)

                           =0.40/0.66

                           =0.606

Hence, final answer is

a) the probability that a randomly selected person doesn't get a shave and doesn't get a haircut=0.250

b)the probability that a randomly selected person gets a shave, given that they get a haircut=0.606

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Step-by-step explanation:

[tex] \frac{f}{5} = - 8[/tex]

[tex]f = - 8 \times 5[/tex]

[tex]f = - 40[/tex]

0.620  is the probability that the animal Fran picks is poisonous or is a snake .

How does probability explain work?

Total animal = ( 6 + 8 + 11 + 4 ) =  29

Let,  p = Event of poisonous animal

        s = event of spider

     p U s = event of poisonous or spider

      p ∩ s = event of poisonous or spider

n(P)   =  No of poisonous = ( 6 + 11 ) = 17

n(S)    =  No of spider =   ( 8 + 4 ) = 12

n(P ∩ S)  No of poisonous spider = 11

Then ,    P [ P ] = 17/29       , P [S ] = 12/29     P [ P ∩ S ] = 11/29

   P [ poisonous or spider ]

 = P [ P ∪ S ] = P [P] + P [ S ] - P [ P ∩ S  ]

                     = 17/29  + 12/29 - 11/29

                      =  18/29  = 0.620

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Answer:23 hours

Step-by-step explanation:23 hours

Answer:

the answer is -3/2

Step-by-step explanation:

-12-(-6) = -6

6-2=4

-6/4 simplified is -3/2

Answer:

7 Rides

Step-by-step explanation:

Alright so you can already take out 20 bucks out of 41, so 21 bucks left. Then it's simple division, 21 / 3 = 7. You went on 7 rides. Hope this helps. Have a great night. :)

Answer:

7 rides!

Step-by-step explanation:

Our equation: 20+3x=41

x= the number of rides you went on

41-20= 21

21/3=7

Therefore, you went on 7 rides :))

Answer: 48

So, to find out the interquartile range, we must first find the median of the lower and upper half of the data. So, 30, 36, 38, 45, 57 | 60, 77, 86, 88, 88 For the first half, the median is 38, and for the upper half, the median is 86. The median of the lower half is known as the quartile 1, and the median of the upper half is known as the quartile 3. The interquartile range is found by the difference between Q3 and Q1. So, 86 - 38 = 48.

There were 48 jumps.

Hops this helps :)

The inequality for the given statement is 0<n≤8 and the solution set the inequality -8 ≤ w < 2 are w=-8, w=-5 and w=0.

The given inequality is -8 ≤ w < 2.

The solution set of inequality is the set of all solutions. Typically an inequality has infinitely many solutions and the solution set is easily described using interval notation.

a) The solution set the inequality -8 ≤ w < 2 is {-8, -7, -6, -5, -4, -3, -2, -1, 0, 1}

So, the solution sets from the options are w=-8, w=-5 and w=0.

b) The given equation is "a number n is greater than 0, and less than or equal to 8"

The inequality for the given statement is 0<n≤8.

Therefore, the inequality for the given statement is 0<n≤8 and the solution set the inequality -8 ≤ w < 2 are w=-8, w=-5 and w=0.

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Answer:

27

Step-by-step explanation:

you just add all of them together

Answer:

[tex]\frac92x - \frac{15}2 = y[/tex]

Step-by-step explanation:

[tex]9x - 2y = 15 \text{ / Add 2y} \\9x - 2y + 2y = 15 + 2y \\\to 9x = 15 + 2y \text{ / Subtract 15} \\9x - 15 = 15 + 2y - 15 \\\to 9x - 15 = 2y \text{ / Divide by 2} \\\frac{9x - 15}2 = \frac{2y}2 \\ \\\frac92x - \frac{15}2 = y[/tex]

Answer:

He has completed 95% of deliveries

Step-by-step explanation:

Answer:

n=25

Step-by-step explanation:

5n-2+2n+7=180

combine like terms

7n+5=180

subtract 5 on both sides

7n=175

divide 7 on both sides

n= 25

Answer:

4:3

Step-by-step explanation:

They list first first but then ask for turtles to fish.

[tex]\frac{24}{18}[/tex]  Divide the top and the bottom by 6 to get [tex]\frac{4}{3}[/tex] or 4:3

The company shipped altogether 40,000 sem electronic parts. Out of which 2000 parts were reported as defective.

Given, we know that 2000 electronic parts we declared as defective.

from the question, the defective parts represented 5% of the total shipments.

let the total parts be 'x'.

therefore, 5% of total parts = 2000

⇒ 5% of x = 2000

⇒ 5/100 × x = 2000

⇒ 5x/100 = 2000

⇒ 5x = 200000

⇒ x = 200000/5

⇒ x = 40,000

total parts shipped = 40,000

hence  we get the total electronic which were shipped as 40,000.

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Answer:

3/4

Step-by-step explanation:

[tex]\frac{9}{14} \times \frac{7}{6} \\ \\ =\frac{3}{14} \times \frac{7}{2} \\ \\ =\frac{3}{2} \times \frac{1}{2} \\ \\ =\frac{3}{4}[/tex]

Answer:

It's both an A. P and a G. P series.

Step-by-step explanation:

Let's prove using A.P with a common difference (d) = 13

Let's say we want to find the second number

a + (n - 1)d

a = 13, n = 4, d = 13

.: S2= 13 + ( 2- 1)13

S2= 13 + (1) 13

S2= 13 + 13 = 26

Let's show using a G. P series.

S2 = arⁿ—¹

S2 = 13 × 2²—¹

S2 = 13 × 2¹

S2 = 13 × 2 = 26

The solution to the system is x = 6/17 and y = -7/17

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

-9x+2y=-4

-x+4y=-2

Multiply -9x+2y=-4 by 2

So, we have

-18x + 4y = -8

Subtract -18x + 4y = -8 from the equation -x+4y=-2

-x + 18x + 4y - 4y = -2 + 8

Evaluate the like terms

17x = 6

Divide both sides of the equation by 17

x = 6/17

Substitute x = 6/17 in -x + 4y = -2

-6/17 + 4y = -2

This gives

4y = -2 + 6/17

Evaluate

4y = -28/17

Divide by 4

y = -7/17

Hence. the solution to the system is x = 6/17 and y = -7/17

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Given the functions f(x) = 1/x and g(x) = x⁴, the function operation ( f + g )(x) is x⁴ + 1/x.

Given the functions in the question;

To evaluate f + g, replace the function designators in f + g with the actual functions and simplify

( f + g )(x) = f(x) + g(x)

( f + g )(x) = ( 1/x ) + ( x⁴ )

Remove the parenthesis

( f + g )(x) = ( 1/x ) + ( x⁴ )

( f + g )(x) = 1/x + x⁴

Reorder 1/x and  x⁴

( f + g )(x) = 1/x + x⁴

( f + g )(x) = x⁴ + 1/x

Given the functions f(x) = 1/x and g(x) = x⁴, the function operation ( f + g )(x) is x⁴ + 1/x.

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Answer:

x = $60.50

Step-by-step explanation:

It’s $60.50 because there are 2 people so u multiply $30.25 by 2 and you get $60.50

The greatest number of persons that would be invited is 51.

In order to get the greatest number of person that they would be inviting we would have this equation

100+37x ≤ 2,000

Where we have money budgeted to be 2000 dollars

cleanup fee = 100 dollars

Amount per person = 37 dollars

Then we would have

100+37x ≤ 2,000

37x ≤ 2000 - 100

37x ≤ 1900

we have to divide through by 37

37/37 = 1900 / 37

x = 51.3

Hence we would say that the greatest number of persons that would be invited is 51.

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Answer:

it will be 100 dollar because it spend 50$ on each

Liam and Sam write the correct number.

Option D is true.

What is Expanded form of a number?

The splitting of numbers based on the place value is called Expanded form of a number.

The number is given as;

4×1 + 6 × 1/10 + 9 × 1/1000

Now, The number is written in standard form as;

⇒ 4×1 + 6 × 1/10 + 9 × 1/1000

⇒ 4 + 0.6 + 0.009

⇒ 4.609

Then write the number in word form,

⇒ 4.609 =  Four and six hundred nine thousandths.

So, Liam and Sam write the correct number.

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Answer: option 1

Step-by-step explanation:

Answer:

30% of students chose something other

Answer:

4300

Step-by-step explanation:

The weight of the original sample from which all eight batches which each weighed 3.9 × 10-⁵ are obtained as required in the task content is; 3.12 × 10-⁴.

It follows from the task content that the weight of the original sample from which the eight batches were obtained be determined.

Hence, since each of the eight batches weighs;

3.9 × 10-⁵

Therefore, the weight of the original sample can be obtained as follows;

= 8 × 3.9 × 10-⁵

= 31.2 × 10-⁵.

However, when the weight is expressed in scientific notation, the weight of the original sample is;

3.12 × 10-⁴.

Ultimately, The weight of the original sample from which all eight batches which each weighed 3.9 × 10-⁵ are obtained as required in the task content is; 3.12 × 10-⁴.

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