The amount of gasoline at a gas station change from 58432.4 gallons to 56495.2 gallons from 2 o'clock p.m. to 4 o'clock p.m. what rational number represents the average change in amount of gasoline per hour

Answer:

0.0157

Step-by-step explanation:

From the information given:

The sample size  = 70

The expected no. of days of year that are birthday of exactly 4 people is:[tex]P = \bigg [ \dfrac{1}{365} \bigg]^4[/tex]

The expected number of days with 4 birthdays = [tex]\sum \limits ^{365}_{i=1} E(x_i)[/tex]

[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ ^{70}C_{4} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{70-4} \bigg][/tex]

[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ \dfrac{70!}{4!(70-4)!} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{66} \bigg][/tex]

[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ 916895 \times 5.6342 \times 10^{-11} \times 0.8343768898 \bigg][/tex]

= 0.0157

Therefore, the required probability = 0.0157

Answer:

0.008 meters

Step-by-step explanation:

Answer:

0.008 meters

Step-by-step explanation:

Hope this helps!     :3

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Answer:

10+65=75 75-10=65

A subtraction expression to determine the original value of Amy's paycheck is x-10=65.

Given that, Amy had a $10 monthly fee for music streaming due when she received her paycheck.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the original value of Amy's paycheck be x

According to the question, x-10=65

⇒ x=$75

Therefore, a subtraction expression to determine the original value of Amy's paycheck is x-10=65.

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Answer:

Jordan, Its been 5 hours, whats the answer?

Step-by-step explanation:

There can be only 1 triangle formed by the given information.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.

Given that, ABC can be formed if C=60∘, c=17√3 and a=34

Using the sine law for triangle,

A/sina = B/sinb = C/sinc

34/sina = 17√3/sin60°

⇒ sina = 90°

Since, The triangle ABC is a right triangle,

Hence, There can be only 1 triangle formed by the given information.

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Answer:

13.7

Step-by-step explanation:

1.37 x 10^1

Solve the exponent.

1.37 x 10

13.7 is the standard form of 1.37 x 10^1.

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Answer:

5:8

Step-by-step explanation:

Answer:

8 to 5

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

3/4

We can change all fractions to denominator 20 to easily vary them

13/20=13/20

3/5=12/20

3/4=15/20

7/10=14/20

Answer:

35

Step-by-step explanation:

*I'm just gonna answer this*

When you are 70, your brother will be 67.

If you were six, and he was half of that, he was three, meaning he was 3 years younger than you.

Answer: Aproxamatly  18.999999999999999

Step-by-step explanation:

Answer:

1.81

2.2^7

3. 4^5

4. 2^9

5. 1

6. 4^5

7. 6

8. 3^8

9. 15^0

10. 2^3

11. 3^2

12. 216

13.  5^3

14. 225

15. 343

16. 11^2

17. 625

18. 5^4

19. 169

20. 10^4

Step-by-step explanation:

Answer:

H= 23

Step-by-step explanation:

92 divided by 4 will give you 23

Answer:

h = 23

Step-by-step explanation:

Divide each term by 4 and simplify.

Answer:

110

Step-by-step explanation:

Answer:

Answer = (-4,1)

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

-4x + 8 = 12

      -8    -8

-4x = 4

divide both sides by -4

x = -1

Hope this helps!!!

Answer:

slope is 1/6

Step-by-step explanation:

Answer:

$69.37

Step-by-step explanation:

Before Tax Price: $66.00

Sale Tax: 5.10% or $3.37

After Tax Price: $69.37

Step-by-step explanation:

2500×5%=125

125×2=250

2500+250=2750$

Answer:

2756.25 This is what he will pay going into the third year.

Step-by-step explanation:

This is not as simple as it looks. Is the base number always 2500 no matter how many years go by?

Or do you compound the rent after each Year.

Simple Interest

Rent after the first year

Rent after first year = 2500 + 5%*2500

Rent after first year = 2500 + 125

Rent after first year = 2625

The rent after the second year will be the same.

Compound interest.

Rent after first year is 2625

At the end of the second year it will be 2625 + 2625*5%

Second year payment = 2625 + 2625*5/100

Second year payment = 2625 + 131.25

Second year payment = 2756.25

Answer:

a i think

Step-by-step explanation:

Answer:

Y = -5 + 5

Step-by-step explanation:

You can check the y intercept and it's a negative 5 slope

Answer:

5/6

Step-by-step explanation:

i used a caculater

BRAINLIEST PLEASE

Answer: C. 2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Begin by removing the brackets

4x + 5(-4x - b) = -16x - 5b

-(x - 2) = -x + 2

Add the two binomials together to get the third one

4x -20x - 5b - x + 2 = -17x - 8                 Combine the like terms on both sides

-17x - 5b +2 = -17x - 8                             Add 17x to both sides

-5b + 2 = - 8                                           Subtract 2 from both sides

-5b +2 -2 =- 8 -2                                     Combine    

-5b =  - 10                                               Divide by -5

b = -10/-5

b = 2

Answer:

10,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

Answer:

c=1

Step-by-step explanation:

subtract 1 with 10, outcome is 1. subtract both sides by 9 to deduct the 9. and you get 1

Answer:

c = 1

Step-by-step explanation:

The algebra way is to isolate the variable c, and solve for it. The image below shows step-by-step on how to solve it.

Hope this helps! :)

Use  

y

2

−

y

2

x

2

−

x

1

4

−

9

2

−

3

=  

−

5

−

1

=

5

Answer link

Jim G.

Jun 11, 2018

y

=

5

x

−

6

Explanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

to calculate m use the  

gradient formula

∙

x

m

=

y

2

−

y

1

x

2

−

x

1

let  

(

x

1

,

y

1

)

=

(

2

,

4

)

and  

(

x

2

,

y

2

)

=

(

3

,

9

)

m

=

9

−

4

3

−

2

=

5

1

=

5

y

=

5

x

+

b

←

is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using  

(

2

,

4

)

then

4

=

10

+

b

⇒

b

=

4

−

10

=

−

6

y

=

5

x

−

6

←

is the equation of lineAnswer:

Step-by-step explanation:

Use  

y

2

−

y

2

x

2

−

x

1

4

−

9

2

−

3

=  

−

5

−

1

=

5

Answer link

Jim G.

Jun 11, 2018

y

=

5

x

−

6

Explanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

to calculate m use the  

gradient formula

∙

x

m

=

y

2

−

y

1

x

2

−

x

1

let  

(

x

1

,

y

1

)

=

(

2

,

4

)

and  

(

x

2

,

y

2

)

=

(

3

,

9

)

m

=

9

−

4

3

−

2

=

5

1

=

5

y

=

5

x

+

b

←

is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using  

(

2

,

4

)

then

4

=

10

+

b

⇒

b

=

4

−

10

=

−

6

y

=

5

x

−

6

←

is the equation of line

Answer:

here

Step-by-step explanation:

x= - 11 and y =11

Answer:

11:)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

y=2/3x-11/3

Step-by-step explanation:

First, find the slope.

m= y2-y1/x2-x1

-3+5/1+2 = 2/3

Slope is 2/3

Now, pick one of the coordinates and use that and the slope to put it in point-slope form.

Point slope form: y-y1=m(x-x1)

Let's use (1,-3)

y+3=2/3(x-1)

Distribute 2/3 to (x-1) and simplify to get the equation in slope-intercept form.

y+3=2/3x-2/3

y=2/3x-11/3

Answer:

y=2/3x-11/3

Step-by-step explanation:

use slope formula and slope intercept form. y=mx+b

Answer:

Step-by-step explanation:

Number of students present in the math class:

Number of students in this class:

Answer:

96

Step-by-step explanation:

Given that :

Standard deviation (s) = 2km

Error in estimation is within 0.4 km ; Error (E) = 0.4 km

Using the relation :

Sample size = ((Zα/2 * s) /E)^2

Using α = 0.05

The Zcritical at 0.05 = Z0.025 = 1.96

Sample size = ((1.96 * 2) / 0.4)^2

Sample size = (3.92 / 0.4)^2

Sample size = 9.8²

Sample size = 96.04

Required sample size = 96