6.
Alexandra had lunch at a restaurant. The bill totaled $25.70 including tax. She had a
coupon for 10% off the bill. Alexandra deducted the amount for her coupon and
added a tip of 15% of the original amount of the bill. How much did Alexandra pay,
rounded to the nearest cent, for lunch?
A. $26.60
B. $26.99
C. $27.88
D. $29.17

Answer:

Step-by-step explanation:

a. The East department gave the greatest number of citations in one day.

b. The East department gave the least number of citations in one day.

c. The East department has a greater IQR than the West department.

d. The East department has the greater median of citations in one day.

Answer:

Yes, that is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average

Step-by-step explanation:

The data given by the American Water Works Association are;

The per capita water use in a single-family home, μ = 76 gallons per day

The number of responders in the sample, n = 27

The sample mean water used by the sample, [tex]\overline x[/tex] = 71 gallons

The standard deviation, s = 9.5 gallons per day

The level of significance, α = 0.01

The test statistics is given as follows;

The null hypothesis, H₀; μ ≥ 76 gallons

The alternative hypothesis, Hₐ; μ < 76 gallons

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]

Therefore, we have;

[tex]t=\dfrac{71-76 }{\dfrac{9.5}{\sqrt{27}}} \approx -2.734817[/tex]

At n - 1 = 27 - 1 = 26 degrees of freedom, the critical-t = 2.5

From the test statistic, of t ≈ -2.734817, the p-value < 0.01, and from a graphing calculator, the p-value is given as Prob = 0.005544418

Therefore, given that the p-value is less the significant level, and less than 0.01, is therefore statistically significant, and therefore, there is sufficient statistical evidence against the null hypothesis, therefore we reject the null hypothesis, and there is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average.

Answer:

20%

Step-by-step explanation:

To do this we need to find the total number of marbles

272 + 68 ->  340

Now we divide 340 by 68 to get

68/ 340 = .2

Multiply by 100 because percent means PER 100 so to get this decimal in percent form multiply by 100

.2 * 100 = 20%

20% of Jodie's marbles are red

Answer:

m∠1= 38°  

Step-by-step explanation:

180-145= 35

107+35= 142

angles in a triangle add up to 180

if the two known angle add up to 142

just do the easy math

180-142

= 38

m∠1= 38°

Answer:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

isnt the x a 90 degree angle?

Answer:

1.b

2.c

Step-by-step explanation:

f(x)+g(x)

3x-2+6-4x

-x+4

4-x. addition is commutative

3x²*4x/(3x2*2x)

2

Answer:

first one is B

second one is c

Step-by-step explanation:

Answer:

Sales Price= $297.50

Regular Price= $297.50/85 * 100= $350

Answer:

Non-Linear

Step-by-step explanation:

Answer:linear

Step-by-step explanation:

Answer:

572.3

Step-by-step explanation:

Diameter = 27m

Radius = d / 2 = 27 / 2 = 13.5m

Area = pi x r²

= 3.14 x (13.5)²

= 3.14 × 182.25

= 572.3

Answer:

14

Step-by-step explanation:

you just look at how much everything equals and that it is adding by 2

Answer:

Exact Form - 13/2

Decimal Form - 6.5

Mixed Number Form - 6 1/2

Hope this helps

Answer:

np

Step-by-step explanation:

Thanks for the points:)

Answer:

we love u too!!! lol idek know u but u seem sweet

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

Since EC is 180,

180-30=150

Answer:

b :)

Step-by-step explanation:

brain list pls

Answer:

Area = 9π sq. m.

Step-by-step explanation:

C = πd

6π = πd

d = 6

r = 3

A = π[tex]r^{2}[/tex] = π[tex]3^{2}[/tex] =  9π sq. m.

Answer:

f(x) = 40 × (1.3)ˣ

Step-by-step explanation:

4. The given parameters of the population of mountain goats are;

The initial number of mountain goats, a = 40

The rate at which their population will increase, r = 30% = 0.3 exponentially

The total population after 'x' years is given by f(x)

For exponential growth, we have;

f(x) = a·(1 + r)ˣ

Plugging in the values, we get;

f(x) = 40 × (1 + 0.3)ˣ = 40 × (1.3)ˣ

Answer:

Tarea:

Ana compró una cartera cuyo precio es x dólares con el 10% de descuento y un perfume con precio original en dólares con un descuento del 15%. ¿Cuánto gastó Ana en total?

- Solución:

El precio estará en lenguaje algebraico, ya que no nos dan el dato de cuánto costó cada artículo.

• Hallamos el precio de la cartera con el descuento:

El precio original es x, entonces:

Regla de tres:

100 % --------> x

10 % -----------> ?

10 . x : 100 = ?

10x/100 = ?

El 10% del precio de la cartera es 10x/100.

Entonces el precio de la cartera es (x-10x/100).

• Hallamos el precio del perfume con el descuento:

El precio original es y, entonces:

Regla de tres:

100% -------> y

15 % --------> ?

15.y/100

El 15% del perfume es 15y/100.

Entonces el precio del perfume con el descuento es (y-15y/100).

Entonces lo que gastó en total es:

(x - 10x/100) + (y - 15y/100)

Step-by-step explanation:

pls give me brainless

Answer:

138

Step-by-step explanation:

6c^2- 5d +8

6(5)^2- 5(4) + 8

6(25) - 5(4) + 8

150 - 5(4) +8

150 - 20 + 8

130 + 8

138

Answer:

The circumference is:

[tex]C=84.8\: cm[/tex]

Step-by-step explanation:

The pizza is a circle, so the circumference equation is given by:

[tex]C=2\pi R[/tex]

Where:

Therefore, the circumference is:

[tex]C=2\pi*13.5[/tex]

[tex]C=84.8\: cm[/tex]

I hope it helps you!

Answer:

285 square mwters

Step-by-step explanation:

length 16 meters X width 12 meters = 192

(Lx2x) (Wx2x)= 285

Answer:

your answer will be 3.4

Step-by-step explanation:

n=number of terms

{6,5,10,11,13}=5

also ∑(x-x)^2=46

[tex]S=\sqrt{\frac{1}{5-1} *46} =[/tex]

[tex]\sqrt{\frac{46}{4} }=\sqrt{11.5} \\\\S=3.4[/tex]

hope it helps

have a great day!!

Answer:

width is 5, length is 6

Step-by-step explanation:

5x6=30

Answer:

A) y=2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-5)/(6-4)

m=4/2

m=2

y-y1=m(x-x1)

y-5=2(x-4)

y=2x-8+5

y=2x-3

Answer:

v = 9

Step-by-step explanation:

6(v + 3) = 72

6v + 18 = 72

6v = 54

v = 9

Answer:

V = 9

Step-by-step explanation:

6(v + 3) = 72

Divide both sides by 6

6(v+3)/6 = 72/6

SImplify:

v + 3 =12

Subtract 3 from both sides:

v + 3 - 3 = 12 - 3

Simplify to get your answer of:

v = 9

Hope this helped,If you have any questions revolving around this topic,feel free to ask me and I will be glad to help,Good luck!

Answer:

[tex]5\sqrt{2}[/tex]

Quiz results:

The length of the hypotenuse of a 45-45-90 Special Right Triangle is given by: Option C: 5√2 inches

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

For this case, we're specified that:

Thus, as shown in the diagram, the hypotenuse is AC.

Its length is found using the Pythagoras theorem as:

[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\|AC|^2 = 5^2 + 5^2 = 25 + 25 = 50\\\\\text{Taking roots, but positive as AC is length, a non-negative quantity}\\\\|AC| = \sqrt{50} = \sqrt{25 \times 2} = \sqrt{5^2 \times 2} = 5\sqrt{2} \: \rm inches[/tex]

Thus, the length of the hypotenuse of a 45-45-90 Special Right Triangle is given by: Option C: 5√2 inches

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

Answer:

Step-by-step explanation:

It’s c

Answer:

r = 6 inch

Step-by-step explanation:

Given that,

The height of a cone, h =8 inches

The slant height of the cone, l = 10 inches

We need to find the radius of the base. The relation between height, radius and the slant height of the cone is given by :

[tex]r=\sqrt{l^2-h^2} \\\\r=\sqrt{10^2+8^2} \\\\r=6\ inch[/tex]

So, the radius of its base is equal to 6 inches.

Given:

i) 3, -5, -2, 1

ii) -1, -8, -7, -2

iii) -2, -4, 0, 2

To find:

increasing order of the given numbers.

Solution:

Increasing order: We need to start from the smallest number, then write larger number and end with the largest number.

We know that all negative numbers are less than the positive numbers and larger negative value is always the smaller one.

For example: -3 is less than -1.

i) We have,

3, -5, -2, 1

So, the increasing order of these number is -5, -3, -2, 1.

ii) We have,

-1, -8, -7, -2

So, the increasing order of these number is -8, -7, -2, -1.

iii) We have,

-2, -4, 0, 2

So, the increasing order of these number is -4, -2, 0, 2.

Given:

A figure that contains a right triangular prism and cuboid.

To find:

The volume of the figure.

Solution:

The dimensions of cuboid are 16 in, 7 in and 3 in.

So, the volume of the cuboid is:

[tex]V_1=Length\times Width \times height[/tex]

[tex]V_1=16\times 7 \times 3[/tex]

[tex]V_1=336[/tex]

The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is

[tex]B=\dfrac{1}{2}\times Base\times Height[/tex]

[tex]B=\dfrac{1}{2}\times 3\times 5[/tex]

[tex]B=7.5[/tex]

The volume of a prism is:

[tex]V_2=Bh[/tex]

Where, B is the base area and h is the height of the prism.

[tex]V_2=(7.5)(6)[/tex]

[tex]V_2=45[/tex]

The volume of combined figure is:

[tex]V=V_1+V_2[/tex]

[tex]V=336+45[/tex]

[tex]V=381[/tex]

Therefore, the volume of the figure is 381 cubic in.