4.009 x 10-3 in decimal form

Answer:

[tex]\huge\boxed{9x-14y=-70}[/tex]

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have two points (-6, 5) and (8, 14).

Substitute:

[tex]m=\dfrac{14-5}{8-(-6)}=\dfrac{9}{14}\\\\y-5=\dfrac{9}{14}(x-(-6))\\\\y-5=\dfrac{9}{14}(x+6)[/tex]

Thew standard form of an equation of a line:

[tex]Ax+By=C[/tex]

transform:

[tex]y-5=\dfrac{9}{14}(x+6)\qquad|\text{multiply both sides by 14}\\\\14y-14\cdot5=14\!\!\!\!\!\diagup^1\cdot\dfrac{9}{14\!\!\!\!\!\diagup_1}(x+6)\\\\14y-70=9(x+6)\\\\14y-70=9x+54\qquad|\text{subtract}\ 9x\ \text{from both sides}\\\\-9x+14y-70=54\qquad|\text{add 70 to both sides}\\\\-9x+14y=70\qquad|\text{change the signs}\\\\9x-14y=-70[/tex]

Answer:

12 dollars an hour

Step-by-step explanation:

Answer:

There's no rigid transformation

Step-by-step explanation:

The attachment is blank; See attachment for clear picture of rhombus

Required

State if there's a rigid transformation between P and Q

The term rigid transformation implies that there's no change in any two or more given shapes as long as the size is being considered.

Looking at both rhombus, you observe that rhombus P and Q have different dimensions.

So, we can conclude that there's no rigid transformation from rhombus P to Q .

Answer:

YES, there are 88% chances that no more than one of them is afraid of spider.

If there is group of 11 teenager in tent, then there is chance that 2 0r more teenager will be afraid of spider.

Step-by-step explanation:

Let A11 be the number of teenager. We want no more than one teenager in each tent is afraid of spider

P (C11≤1) = P (C11=0) + P (C11=1)

               = (11C0) 0.070. (1- 0.07)10 + (11C1). 0.071. (1- 0.07)10-1

               = 0.88

               = 88 %

Yes, it seems reasonable for him to randomly assign teenagers to tents.

There are 88% chances that no more than one of them is afraid of a spider, remaining are in his favor, and he can randomly assign.

If there is a group of 11 teenagers intent, then there is a chance that two 0r more teenagers will be afraid of a spider.

Probability = P (C11≤2)

                  = P(C11 = 2) + P  (C11=3) + P(C11 =4) + ……

          (Probability is somewhat large)

Answers:

72 nickels and 27 quarters

========================================

Work Shown:

$10.35 = 1035 cents

q = number of quarters

n = number of nickels

n+q = 99 is the total number of coins. This solves to q = -n+99

25q = value of all the quarters in cents

5n = value of all the nickels in cents

5n+25q = 1035 is the total value in cents

------------------

5n+25q = 1035

5n+25( q ) = 1035

5n+25( -n+99 ) = 1035

5n - 25n + 2475 = 1035

-20n + 2475 = 1035

-20n = 1035-2475

-20n = -1440

n = -1440/(-20)

n = 72

Jalen has 72 nickels

q = -n+99

q = -72+99

q = 27

Jalen has 27 quarters

----------------------

Check:

n+q = 72+27 = 99

5n+25q = 5*72+25*27 = 1035

This confirms the answers.

Answer:3√5

Step-by-step explanation:

Answer:

X = 25

Step-by-step explanation:

Answer:

Rs.20340

Step-by-step explanation:

Cost of the mobile(without VAT) = Rs. 18000

VAT= 13%*18000

=13/100*18000

=13*180

= Rs.2340

Hence, Cost of the mobile phone with VAT= Rs.18000+ Rs. 2340

= Rs.20340

Answer:

Hope this helps. It is longer by 1061.

Answer:

3 hours

Step-by-step explanation:

$178 is the total, so subtract the amount he paid for parts by that. (178-72=105)

Now all you need to do is divide 105 by 35, which gets you to 3

Answer:

9 or 3^2

Step-by-step explanation:

3^3×3^3=729

3^4=81

729/81 = 9 = 3^2

Answer:

150

Step-by-step explanation:

If x is the number of adult tickets sold then an equation for this could be

x+2x=450

which could simplify to

3x=450

you would divide both sides of the equation by 3 to get

x=150

Answer:

69%

Step-by-step explanation:

Hey there!☺

[tex]Answer:\boxed{68.75}[/tex]

[tex]Explanation:[/tex]

Let's start the percentage from 1/16.

[tex]1/16\rightarrow6.25\\2/16\rightarrow12.5\\3/16\rightarrow18.75\\4/16\rightarrow25\\5/16\rightarrow31.25\\6/16\rightarrow37.5\\7/16\rightarrow43.75\\8/16\rightarrow50\\9/16\rightarrow56.25\\10/16\rightarrow62.5\\11/16\rightarrow68.75[/tex]

The rule is to multiply each by 6.25. That means that you have to multiply 6.25 by 11 to get its percentage.

[tex]6.25*11=68.75[/tex]

68.75 is your answer.

Hope this helps!☺

[tex]\text{-TestedHyperr}[/tex]

Answer:

The answer is 3.19, someone irrationally deleted my answer previously.

Step-by-step explanation:

Simply substract 2.95 from 18.90 and you will get 15.95

Divide this by 5 to get the price of each and you will get $3.19 which is the correct answer.

Answer:

x > 100

Step-by-step explanation:

Consider x as "Chicago Cubs".

The alligator sign always points/goes to the number (or food) with the highest value (or bigger meal).

Since Chicago Cubs wins is bigger than 100, you can write the inequality as follows:

x > 100

Answer:

[tex]f(x) = x(x - 9)(x + 4)[/tex]

Answer:

2nd graph

Step-by-step explanation:

Answer:

x length

y width

2x=y

2x+2y=42/2

x+y=21 x+y=21

x+2x=21

3x=21/÷3

x=7

7+y=21

y=21-7=14

7×14=98 the area of a rectangle

Answer:  98 ft²

Step-by-step explanation:

Length (L) = 2w

width (w) = w

Perimeter (P) = 2L + 2w

                 42 = 2(2w) + 2w

                 42 = 4w + 2w

                  42 = 6w

                    7 = w

L = 2w

  = 2(7)

  = 14

Area = L · w

         = 14 · 7

         = 98

Answer:

a = 18/b²

Step-by-step explanation:

Step 1: Write equation

1/3ab² = 6

Step 2: Solve for a

Baldwin and McMurdo disliked each other since their very first meeting. They both like Ettie, and, that's where the rivalry begins. He knows that Ettie likes McMurdo more and will obviously choose McMurdo over him. It's pretty clear that Teddy Baldwin is jealous of McMurdo. Baldwin was also very furious when he heard that body master McGinty chose McMurdo over him, who had been loyal to the lodge for years.

I'd add more things, but, honestly, that's all- since I don't like to overexaggerate things. Hope it helps you, all the best!

Answer:

a) the probability that at least one of 10 successive points indicates a problem when in fact the process is operating correctly is 0.4013

b) the probability that at least one of 40 successive points indicates a problem when in fact the process is operating correctly is 0.8715

Step-by-step explanation:

following how the independence multiplication rule works,

i.e finding p(A)' which is 1 - p(No problem) because what we need is an intersection not a union so;

a) 10 successive points

probability (problem) = 0.05

probability (No problem) = 0.95

required probability = 1 - [probability (No problem)]^10

= 1 - (0.95)^10

= 1 - 0.5987

= 0.4013

the probability that at least one of 10 successive points indicates a problem when in fact the process is operating correctly is 0.4013

b) 40 successive points

probability (problem) = 0.05

probability (No problem) = 0.95

required probability = 1 - [probability (No problem)]^40

= 1 - (0.95)^40

= 1 - 0.1285

= 0.8715

the probability that at least one of 40 successive points indicates a problem when in fact the process is operating correctly is 0.8715

Answer:

A

Step-by-step explanation:

because it's negative 4, you move the decimal 4 times to the left

Answer:

12/25

Step-by-step explanation:

If one person chooses a number from 1-5 already, they basically have any choice between 1-5 at their disposal. Therefore, there is not much of a probability for them. If the next individual's number will be different, there will be 4 numbers left. Additionally, this means that the next person (let's say Ben) will have a probability 4/5 since that is if he chooses a different number. There will be 3 numbers remaining, so the last person who picks will have a probability of 3/5.

3/5 and 4/5 are boh probabilities, so multiply them together to get one, which is 12/25.

Answer:

The answer is C 18

Step-by-step explanation:

4^2+8/4= 16+2=18