Samara is purchasing gas at the Gas n' Sip. The gas costs $2.469 per gallon. How much did Samara
pay in gas if she purchased 7 gallons?
A. $0.35
B. $9.47
C. $14.82
D. $17.28

The question is an illustration of the laws of cosine, the length of the third side is 6.7 units

The measure of the third side is calculated using the following law of cosine

a^2 = b^2 + c^2 - 2bc * cos(A)

So, we have:

a^2 = 8^2 + 11^2 - 2 * 8 * 11 * cos(37)

Evaluate the expression

a^2 = 44.44

Take the square root of both sides

a = 6.7

Hence, the length of the third side is 6.7 units

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Using the z-distribution, it is found that the smallest sample size required is given by:

B) 7 vehicles.

It is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

The margin of error and the population standard deviation are given by, respectively:

[tex]M = 10, \sigma = 15[/tex].

Then, we solve for n to find the needed sample size.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]10 = 1.645\frac{15}{\sqrt{n}}[/tex]

[tex]10\sqrt{n} = 1.645 \times 15[/tex]

[tex]\sqrt{n} = 1.645 \times 1.5[/tex]

[tex](\sqrt{n})^2 = (1.645 \times 1.5)^2[/tex]

[tex]n = 6.1[/tex]

Rounding up, 7 vehicles have to be sampled, hence option B is correct.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Step-by-step explanation:

Let m and c be the slope and y-intercept respectively,

(y-3)/(x-9) = m

y-3 = mx-9m

y= mx - 9m+3

y = mx + 3(1-3m)

1 foot = 12 inches = 1/12

21/1 x 1/12 = 21/12 = 1.75 feet

Answer: 1.75 feet

Answer:

i don't know do you play any games

Answer:

b=8

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 =c^2  where a and b are the legs and c is the hypotenuse

6^2 + b^2 = 10^2

36+b^2 = 100

Subtract 36 from each side

b^2 = 100-36

b^2 = 64

Take the square root of each side

sqrt(b^2) = sqrt(64)

b = 8

Answer:

Step-by-step explanation:

i) (4*4)^2-(2(-8))^2=256-(16)^2=256-256=0

ii) (4*16)-2*(-8)^2=64- 2(16)= 64-32=32

Hey there,

Solve the equation:

x = 4 ✅

3x - 4 = 8

>> Add 4 to both sides :

3x - 4 + 4 = 8 + 4

3x = 12

>> Divide both sides by 3 :

3x/3 = 12/3

Therefore, your answer is x = 4

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Answer:

x = 4

Step-by-step explanation:

Given equation:

To determine the value of "x", we need to isolate the "x" variable and it's coefficient. This can be done by adding 4 to both sides of the equation.

The next step in determining the "x" variable is to isolate the coefficient from the "x" variable. This can be done by dividing 3 both sides of the equation.

Therefore, the solution (x) is 4.

Answer:

I took the Test it is 72

The distance between their house and the school from the information given will be 777.60 meters.

The distance between their house and the school will be:

= 80 × 81 × 12

= 77760cm

= 777.60 meters.

When Diane takes 16 min to walk to school, the length of her steps will be:

= 77760/(16 × 90)

= 54 cm

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Answer:

Step-by-step explanation:

This is pretty straight forward. Here are the answers verified:

Correct choice is C.

Answer:

76$

Step-by-step explanation:

114=.6y; y= original price

y=190, original price

190-114=76

Answer:

31

Step-by-step explanation:

The median is the number that we find in the middle of the data.

So if we have a sequence of {1,2,3}

Then 2 is the median

If we have a sequence of {1,2,3,4,5}

Then 3 is the median

We look in the middle of 28,30,30,30,30,31,31,31,31,31,31,31,31

and we find 31 in the middle.

Note:

If the middle is something with 2 terms in the middle like

1,2,3,4

Then the median is the average of the two middle terms which is

(2+3)/2 = 2.5

Answer:

230.4

feet

Explanation:

arc length  

=

circumference  

×

fraction of circle

×

×

×

×

=

2

π

r

×

165

360

×

×

×

×

=

2

×

π

×

80

×

165

360

×

×

×

×

=

230.4

feet to nearest tenth

Answer:

23

Step-by-step explanation:

the answer is 22.5 but rounded to the nearest whole which is 23

Answer:

Dado, △ABC∼△DEF

Por lo tanto

DE

=

EF

A.C

=

FD

CA

Así que

18

2x−1

=

3x+9

2x+2

=

6x

3x

Ahora tomando

18

2x−1

=

6x

3x

tenemos

18

2x−1

=

2

1

o 4x−2=18 o x=5

Por lo tanto, AB=2×5−1=9,

BC=2×5+2=12,CA=3×5=15,

DE=18,EF=3×5+9=24

y FD=6×5=30

Por lo tanto

AB = 9 cm, BC = 12 cm, CA = 15 cm, DE = 18 cm, EF = 24 cm y FD = 30 cm

:

Answer:

31/55 * 111

Step-by-step explanation:

For all the other products, the number before the slash is greater than, or equal to the number after the slash. This means that the fraction is greater than or equal to 1 and thus a bigger product. For 31/55 however, the value is less than 1 (0.56) and thus, the actual product will be less than 111.

Answer:

(34.15, 47.85)

Step-by-step explanation:

[tex]n = (\frac{z*stddev}{ME} )^{2}[/tex]

stddev = 11.9

z = invNorm(

area = (1 + confidence interval)/2

mean = 0

stddev = 1

)

= invNorm(

0.995

0

1

)

≈ 2.576

n = 20

square root both sides

[tex]\sqrt{20} = 2.576 * 11.9 / ME[/tex]

multiply both sides by ME, divide both sides by √20 to isolate ME
ME = 2.576 * 11.9/√20

≈ 6.85

interval = mean ± ME
= (41-6.85, 41+6.85)

= (34.15, 47.85)

Answer:

50%

Step-by-step explanation:

31/62 of the train seats are empty,meaning there is 50%

Answer:

the answer is -2-√3

Step-by-step explanation:

[tex] \tan( \frac{19\pi}{12} ) \\ \tan( \frac{19 \times 180}{12} ) \:\:we \: know \: that \: \pi = 180 \\ \\ \tan(285) \\ = - 2 - \sqrt{3} [/tex]

Answer:

C

Step-by-step explanation:

[tex]\dfrac 83 +\sqrt{-\dfrac 73}\\\\=\dfrac 83 + \sqrt{-1} \sqrt{\dfrac 73}\\\\=\dfrac 83 +i\sqrt{\dfrac 73}~~~~~~;\left[i =\sqrt{-1}\right]\\\\\text{It is now in the standard form of complex number (a+bi).}[/tex]

Answer:

x would be equal to 1.1

Step-by-step explanation:

Step 1:  Determine the value of x

I assume that the equation looks like this:  16/x = 45/3

Therefore, using the cross multiply method we can do (16*3) = (x*45)

This will give us 48 = 45x

Then we divide both sides by 45 so we can isolate x by itself

45x/45 = 48/45

x = 1.0667

Then we round to the nearest tenth

x = 1.0667

x = 1.1

Answer: x would be equal to 1.1

Answer:

x = 16/15, or (to the nearest tenth) x = 1.1

Step-by-step explanation:

Note:  there must be an " = " sign between the two fractions:

 16         45

------- = -------

   x           3

Also note that 45/3 reduces to 15:      16/x = 15

Multiplying both sides by x yields 16 = 15x, so that x must be  x = 16/15 = 1.1

Answer:

29

Step-by-step explanation:

Perimeter of a triangle is the total of sides a+b+c
11+5+13=29

Answer:

market

Step-by-step explanation:

Market

1 dozen bagels = 12 bagels

⇒ Cost per bagel = $7.00 ÷ 12 = $0.58 (nearest cent)

Bagel shop

Cost per bagel = $0.60

As  $0.58 < $0.60 the market is a better buy

Answer:

14.4 feet

Step-by-step explanation:

Answer:

x = 52 due to vertical angle theorem

Step-by-step explanation:

Vertical angles mean that the angles are congruent.

If we know that one angle is 52 the other one shall be 52 as well because vertical angles state that ones that are directly across are congruent known as equal.

to get the equation of any straight line, we simply need two points off of it, let's use the points in the picture below.

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-2)}}}\implies \cfrac{-3}{4+2}\implies \cfrac{-3}{6}\implies -\cfrac{1}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{(-2)}) \\\\\\ y-2 = -\cfrac{1}{2}(x+2)\implies y-2=-\cfrac{1}{2}x-1\implies y=-\cfrac{1}{2}x+1[/tex]

Answer:

y = -1/2x - 2

Step-by-step explanation:

Slope Intercept form: y=mx+b

You need to find the slope and y-intercept.

(0,-2) is the y-intercept which is the point on the y-axis that is intersected by the linear equation which is our slope line.

Now, we need to find our slope.

*This line is a negative slope*

Starting at our y-intercept [ (0,-2) ] we need to go to a point where the line intersects.

The red dot on the coordinate plane clearly represents it.

(2,-3) is the red point in which we need to go down 1 and over 2 to get there.

So our slope should be -1 / 2

Lastly, write in slope-intercept form:
y = -1/2x - 2

The missing coordinates on the line after plotting the points are k(11, 0), L(0, 11) and M(40, 40).

The points can be plotted on coordinate planes as shown below in the graph uploaded.

The missing coordinates are determined as follows;

Thus, the missing coordinates on the line after plotting the points are k(11, 0), L(0, 11) and M(40, 40).

Learn more about coordinates here: https://brainly.com/question/17206319

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1 ) Multiply the largest number (10) by 1.

Can the smallest (4) go into this number evenly?

10 x 1 = 10

10/4 = 2.5  ❌

2 ) Now multiply the largest number by 2.

Can the smallest go into this number evenly?

10 x 2 = 20

20/4 = 5 ✅

The LCD is 20