a meal came to $16.41 without tax. calculate the 6% sales tax, and then calculate the 15% tip based on the sum of the meal and the tax. what is the total cost of the meal?

[tex]\\ \sf\longmapsto tan28=\dfrac{BC}{AC}[/tex]

[tex]\\ \sf\longmapsto 0.5317=\dfrac{BC}{29.3}[/tex]

[tex]\\ \sf\longmapsto BC=29.3(0.5317)[/tex]

[tex]\\ \sf\longmapsto BC=15.5mi[/tex]

Now

[tex]\\ \sf\longmapsto AB^2=29.3^2+15.5^2[/tex]

[tex]\\ \sf\longmapsto AB^2=848.49+240.25[/tex]

[tex]\\ \sf\longmapsto AB^2=1088.74[/tex]

[tex]\\ \sf\longmapsto AB=32.9mi[/tex]

Answer:

[tex]\sf k + 6 > -37[/tex]

[tex]\sf k+6-6>-37-6[/tex]

[tex]\boxed{\sf k>-43}[/tex]

Answer:

Subtract 6 from both sides:

K +6 - 6 > - 37 - 6

Simplify the arithmetic:

k > - 37 - 6

Simplify the arithmetic

k > - 43

1. -40 - 180 = -220

2. -40 - 175 = -135

3. -40 - 185 = -225

4. 2:15 = -40

2:18 = 185

distance b/w them is = -40 - 185 = - 225

hope this answer helps you dear! btw I'm not sure but hope so this helps...!!

I agree with the first person that answered.

Answer:

$1343

Step-by-step explanation:

The equation would be

x= 1580 (1-0.15)

x represents how much he actually pays.

1-0.15=0.85.

1580×0.85=1343

Answer:

Step-by-step explanation:

[tex]d(t)=(t^2+3)e^\frac{-1}{2} \\d'(t)=2t e^{-\frac{1}{2} }\\it~ is~ increasing ~if~d'(t)>0\\e^{-\frac{1}{2} } =\frac{1}{e^\frac{1}{2} } >0\\so~t>0\\and~decreasing~if~t<0\\[/tex]

so it is concave upward at t=0

Answer:

Your equation option is possibly in here somewhere.

Step-by-step explanation:

A = C - 2

B = A + 6  → A = B - 6

C - 2 = A = B - 6 → B = C + 4

44 = C + B + A

44 = C + (C + 4) + (C - 2)

44 = 3C + 2

42 = 3C

C = 7

Answer: No solution

The two lines don’t meet at any point(s). So, there are no solutions.

:)

Therefore the percentage increase is 72

Using the binomial distribution, it is found that:

a) There is a 0.0501 = 5.01% probability that you need to contact four people.

b) You expect to contact 1.82 students until you find one who lives within five miles of you.

c) The standard deviation is of 1.22 students.

d) 0.3369 = 33.69% probability that 3 of them live within five miles of you.

e) It is expected that 2.75 students live within five miles of you.

For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

Item a:

This probability is P(X = 0) when n = 3(none of the first three) multiplied by 0.55(the fourth does live within five miles), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125[/tex]

[tex]p = 0.091125(0.55) = 0.0501[/tex]

0.0501 = 5.01% probability that you need to contact four people.

Item b:

The expected number of trials in the binomial distribution until q successes is given by:

[tex]E = \frac{q}{p}[/tex]

In this problem, [tex]p = 0.55[/tex], and 1 trial, thus [tex]q = 1[/tex], hence:

[tex]E = \frac{1}{0.55} = 1.82[/tex]

You expect to contact 1.82 students until you find one who lives within five miles of you.

Item c:

The standard deviation of the number of trials until q successes are found is given by:

[tex]S = \frac{\sqrt{q(1 - p)}}{p}[/tex]

Hence:

[tex]S = \frac{\sqrt{0.45}}{0.55} = 1.22[/tex]

The standard deviation is of 1.22 students.

Item d:

This probability is P(X = 3) when n = 5, hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369[/tex]

0.3369 = 33.69% probability that 3 of them live within five miles of you.

Item e:

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

Hence:

[tex]E(X) = 5(0.55) = 2,75[/tex]

It is expected that 2.75 students live within five miles of you.

A similar problem is given at https://brainly.com/question/25343741

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Today only, a sofa is being sold at a 32% discount. The sale price is $289.

What was the price yesterday?

289 is 68%                          (100% - 32% = 68%)

289 : 68 * 100 =

425

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

check

425 - 32% = 289

the answer is good

Answer:

8

Step-by-step explanation:

Add 5 and 3

-Lexi

Answer:

C. Both statements are true

Answer:

C. y=3x-4

Step-by-step explanation:

I just know trust me

Answer:

23

Step-by-step explanation:

the median is the "Middle" number of the set.21 and 25 are the middle numbers of the set. so now find the middle of 21 and 25.

21 22 23 24 25

23 is the median of the data set

Answer:

Ok, so I think it's x= 2.5 and y= 306.1 plz forgive me if I'm wrong.

9514 1404 393

Answer:

Step-by-step explanation:

In this context, "per" and "for" mean "divided by."

Answer:

161oz = 10.0625 (then you round)

Step-by-step explanation:

Answer:

its the last one i think

Step-by-step explanation:

.

Answer:

C. X=4

Step-by-step explanation:

Answer:

Step-by-step explanation:

opposite corners first, then adjacent corners, and so on

Answer:

1/3 or 33.33 %

Step-by-step explanation:

this is because there is 30 shirts and all and 10 white. 10/30 is 1/3, or 33.33%

Answer:

likely

If there are 8 red shirts, 12 blue shirts, and 10 white shirts. The answer would be likely

Answer:

[tex]L=\frac{1}{2}P-W[/tex]

Step-by-step explanation:

Let's solve for L.

[tex]P=2L+2W[/tex]

Step 1: Flip the equation.

[tex]2L+2W=P[/tex]

Step 2: Add [tex]-2W[/tex] to both sides.

[tex]2L+2W+-2W=P+-2W[/tex]

[tex]2L=P-2W[/tex]

Step 3: Divide both sides by [tex]2[/tex].

[tex]\frac{2L}{2}=\frac{P-2W}{2}[/tex]

[tex]L=\frac{1}{2}P-W[/tex]

Answer:

[tex]L=\frac{1}{2}P-W[/tex]

[tex]\\ \sf\longmapsto {\displaystyle{\lim_{x\to 1}}}\dfrac{x^2-1}{x-1}[/tex]

[tex]\\ \sf\longmapsto {\displaystyle{\lim_{x\to 1}}}\dfrac{x^2-1^2}{x-1}[/tex]

[tex]\\ \sf\longmapsto 2(1)^(2-1)[/tex]

[tex]\\ \sf\longmapsto 2(1)[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

Step-by-step explanation:

[tex] \tt \lim \limits_{x \to1} \frac{ {x}^{2} - 1 }{x - 1} = ...[/tex]

[tex] = \tt \lim \limits_{x \to1} \frac{(x + 1) \cancel{(x - 1)}}{ \cancel{(x - 1)}} [/tex]

[tex] = \tt \lim \limits_{x \to1}(x + 1)[/tex]

[tex] = \tt1 + 1[/tex]

[tex] = \boxed{ \bold{ \blue{ \underline2}}}[/tex]

Answer:

Step-by-step explanation:

(f/g)(-4) = (-4² - 13) / (4 - (-4)) = 3/8

Hello there!

We are given two points.

We use the following formula:

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{4-7}{0-(-1)}[/tex]

[tex]\frac{4-7}{0+1} \\\frac{-3}{1} \\-3[/tex]

So the slope is -3. Hope it helps!

~Just a cheerful teen

#CarryOnLearning

[tex]SilentNature[/tex]

Answer:

[tex]\boxed{\boxed{\sf Slope: -3}}[/tex]

Step-by-step explanation:

To find the slope of a line given the coordinates of two points on the line, use the slope formula.

[tex]\boxed{\sf {Slope}=\cfrac{y_2-y_1}{x_2-x_1}}[/tex]

x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.

[tex]\sf Points: \left(-1,\:7\right)\: and\: \left(0,\:4\right)[/tex]

[tex]\boxed{\sf \left(x_1,\:y_1\right):\left(-1,\:7\right)}[/tex]

[tex]\boxed{\sf \:\left(x_2,\:y_2\right):\left(0,\:4\right)}[/tex]

[tex]\longmapsto\sf slope\:(m)=\cfrac{4-7}{0-\left(-1\right)}[/tex]

[tex]\longmapsto\sf slope\:(m)=-3[/tex]

_________________________________

Answer:

expression.

2(4x+3y)

2(4(4)+3(7))

2(16+21)

2( 37)

74

9514 1404 393

Answer:

  (b)  9

Step-by-step explanation:

Maybe you want to simplify ...

  [tex]\sqrt{81}=\sqrt{9^2} =\boxed{9}[/tex]