PLEASE HELP QUICK!!!Suppose the bill for dinner is $16.70, if you want to give a 10% tip what will be the total?

Answer: Find answers in the attachment files

Step-by-step explanation:

Answer:

No. By definition, mutually exclusive events cannot occur together.

Step-by-step explanation:

If two events are mutually exclusive, can they not occur concurrently because by definition, mutually exclusive events cannot occur together or at the same time. This ultimately implies that the events or outcome of the sampling is disjointed.

Mathematically, if two events A and B are mutually exclusive;

[tex]P(AnB) = 0[/tex]

From the above expression, we can deduce that the probability of the two (2) events occurring or having an intersection is zero (0).

[tex]P(A or B) = P(A) + P(B)[/tex]

From the above expression, we can deduce that the probability of either of the two (2) events occuring is the sum of the probability of each occurrence.

For example, when a fair die is tossed once, the outcomes are mutually exclusive.

P(d) = 1, 2, 3, 4, 5 and 6.

Other examples include;

1. Tossing a coin once, you'll either get a head or a tail but not a head and a tail at the same time.

2. In cards, both a king and an ace or a king and a queen are mutually exclusive because you can't have both occurring at the same time.

Answer:

Hello,

Answer 303028

Step-by-step explanation:

Multiplication in base 9

[tex]\begin{array}{cccccc}9^5&9^4&9^3&9^2&9^1&9^0\\--&--&--&--&--&--\\&&&7&2&5\\&&&3&6&7\\--&--&--&--&--&--\\&&5&5&8&8\\&4&7&6&3&\\2&3&7&6&&\\--&--&--&--&--&--\\3&0&3&0&2&8\end{array}[/tex]

Answer:

[tex]P'(x)=2.2-0.12x[/tex]

Step-by-step explanation:

start by finding [tex]P(x) = R(x)-C(x)[/tex]

[tex]P(x)=3x-0.06x^2-286-0.8x[/tex]

to find P'(x), you take the derivative of P(x)

[tex]P'(x)=\frac{d}{dx} (2.2x-286-0.06x^2)[/tex]

[tex]\frac{d}{dx} (2.2x-286-0.06x^2)=2.2-0.12x[/tex]

so [tex]P'(x)=2.2-0.12x[/tex]

Answer:

Linear, Quadratic, Radical, Absolute Value, Cubic, Cube Root

Step-by-step explanation:

To find:

Which functions have an intercept at (0, 0).

That means, when we put a value [tex]x=0[/tex] in the [tex]y =f(x)[/tex], value of [tex]y=0[/tex].

Let us discuss each parent function one by one:

1. Linear:

[tex]y = x[/tex]

When we put x = 0, y = 0

Therefore, it has intercept at (0, 0).

2. Quadratic:

[tex]y = x^2[/tex]

When we put x = 0, y = 0

Therefore, it has intercept at (0, 0).

3. Radical:

[tex]y = \sqrt x[/tex]

When we put x = 0, y = 0

Therefore, it has intercept at (0, 0).

4. Absolute Value:

[tex]y = |x|[/tex]

When we put x = 0, y = 0

Therefore, it has intercept at (0, 0).

5. Rational:

[tex]y = \dfrac{1}{x}[/tex]

When we put [tex]x = 0\Rightarrow y \rightarrow \infty[/tex]

Therefore, it does not have intercept at (0, 0).

6. Exponential:

[tex]y = b^x[/tex]

b is any base

When we put [tex]x = 0\Rightarrow y =1[/tex]

Therefore, it does not have intercept at (0, 0).

7. Logarithmic:

[tex]y = logx[/tex]

When we put [tex]x = 0 \Rightarrow y\rightarrow[/tex] Not defined

Therefore, it does not have intercept at (0, 0).

8. Cubic:

[tex]y = x^3[/tex]

When we put [tex]x = 0\Rightarrow y =0[/tex]

Therefore, it has intercept at (0, 0).

9. Cube Root:

[tex]y = \sqrt[3]x[/tex]

When we put [tex]x = 0\Rightarrow y =0[/tex]

Therefore, it has intercept at (0, 0).

Answer is in a box.

The bag contains 6 red marbles, 8 blue marbles and 9 green marbles, that is 23 marbles.

The probability that one of the 23 marbles will be picked is 1 or 100%, we are picking a marble for sure.

So what is the probability you will pick for example one of the 6 red marbles? It is 6 out of 23 but since we need percentages multiply by 100,

[tex]\frac{6}{23}\cdot100\approx26.09\%[/tex]

The probability to pick a blue marble is,

[tex]\boxed{\frac{8}{23}}\cdot100\approx34.78\%[/tex]

And the probability to pick a green marble is,

[tex]\frac{9}{23}\cdot100\approx39.13\%[/tex]

To check that everything is right you can sum all the probabilities; the probability that it will be either red, blue or green is 100% so the individual probabilities must sum to 100%, and they do,

[tex]26.09\%+34.78\%+39.13\%=100\%[/tex]

Hope this helps :)

Answer:

  7

Step-by-step explanation:

The two angles created by the angle bisector are the same measure, so we have ...

  2x +y = 14 +y

  2x = 14 . . . . . . . subtract y

  x = 7 . . . . . . . . . divide by 2

Answer:

gold price : $58.72/gram

$58,720 per kilo(1000) grams

Step-by-step explanation:

Step-by-step explanation:

Any number that can be divided by 2 without having remainder is considered an even number.

I hope it helped U

stay safe stay happy

Answer:

y = $1.542 per lb

Step-by-step explanation:

given data

mixed-nut blend store cost  2005 = $1.35 per lb

blend cost in 2010 = $1.83 per lb

solution

we consider here y = cost of a pound

and x year = after 2005

we will use here linear equation model

so

[tex]\frac{y - 1.35}{1.83-1.35} = \frac{x-10}{5 - 0}[/tex]    .........................1

solve it we get

5y - 6.75 = .48 x

so

at 2007 year here x wil be 2

so

[tex]y = \frac{0.48 \times 2 + 6.75}{5}[/tex]  

solve it we get

y = $1.542 per lb

Step-by-step explanation:

Hi, there!!!

Let's simply work with it,

Here,

tax=$1.54

rate of tax= 5.5%

now, let the original price be x.

so, 5.5% of x= $1.54 { tax amount = tax% of original price}.

or, 5.5/100 × x= $1.54

or, 5.5x = $1.54×100

or, x= $28.

Therefore, the original price was $28.

Hope it helps...

Answer:

6.45

Step-by-step explanation:

The answer=2.5*7.5-(2.75+9.55)=18.75-(12.3)=6.45

Answer:

x= 5.5

Step-by-step explanation:

(segment piece) x (segment piece) =    (segment piece) x (segment piece)

x*4 = 11*2

4x = 22

Divide each side by 4

4x/4 = 22/4

x =5.5

Step-by-step explanation:

KI=yf/p+n + yr/u

(p+n) KI - yrp/u -yrn/u = yf

pKI - yrp/u = yf - nKI + yrn/u

p(KI - yr/u) = yf - nKI + yrn/u

p = (1/KI-yr/u)(yf-nKI+yrn/u)

Answer:

35%

Step-by-step explanation:

[tex]Principal = 2500\\\\Simple\:Interest = 3500\\\\Time = 4 \:years\\\\Rate = ?\\\\Rate = \frac{100 \times Simple \: Interest }{Principal \times Time}\\\\Rate = \frac{100 \times 3500}{2500 \times 4} \\\\Rate = \frac{350000}{10000}\\\\ Rate = 35 \%[/tex]

[tex]S.I = \frac{PRT}{100}\\\\ 100S.I = PRT\\\\\frac{100S.I}{PT} = \frac{PRT}{PT} \\\\\frac{100S.I}{PT} = R[/tex]

Answer:

35%

Step-by-step explanation:

I REALLY HOPE I HELPED

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

 ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                PEACE!

Answer:

Step-by-step explanation:

slope of line perpendicular to y=mx+c is -1/m

so here reqd. slope=-1/4

Answer:

Step-by-step explanation:

Find zero's:

The intervals:

As we see correct choices are b and d

Answer:

[tex]\Large \boxed{\sf True}[/tex]

Step-by-step explanation:

[tex]\sf A \ diameter \ that \ is \ perpendicular \ to \ a \ chord \ bisects \ the \ chord.[/tex]

Answer:

True!!

I just did the assignment and got it right

Answer:

(x+4)/3. When x is 5 the answer is 3

Step-by-step explanation:

Answer:

the perimeter is : 40

the area is: 10,000

Answer:

AC is included between <A and <C.

Step-by-step explanation:

i think, not sure tho

Answer:

The 99%  confidence interval is  [tex]97.94 < \mu < 98.26[/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  110

     The  sample mean is  [tex]\= x = 98.1 \ F[/tex]

       The standard deviation is  [tex]\sigma = 0.64 \ F[/tex]

Given that the confidence level is  99% the level of significance i mathematically evaluated as

                  [tex]\alpha = 100 - 99[/tex]

                  [tex]\alpha = 1\%[/tex]

                  [tex]\alpha = 0.01[/tex]

Next we obtain the critical value of  [tex]\frac{\alpha }{2}[/tex] from the normal distribution, the values is  

          [tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.01 }{2} } = 2.58[/tex]

Generally the margin of error is mathematically represented as

           [tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]

substituting values

          [tex]E = 2.58 * \frac{ 0.64}{\sqrt{110} }[/tex]

          [tex]E = 0.1574[/tex]

Generally the  99% confidence interval  is mathematically represented as

               [tex]\= x - E < \mu < \= x + E[/tex]

substituting values

             [tex]98.1 - 0.1574 < \mu < 98.1 + 0.1574[/tex]

             [tex]97.94 < \mu < 98.26[/tex]

Answer:

Step-by-step explanation:

Answer:

( y-5) ^2 =-12(x-2)

Step-by-step explanation:

focus at (2,2) and a directrix of x=8

Using the equation

( y-k) ^2 = 4p(x-k)

where ( h,k) is the vertex

The vertex is 1/2 way between the focus and the directrix

( 2+8)/2 , 2

5,2 is the vertex

( y-5) ^2 = 4p(x-2)

distance from the focus to the vertex and from the vertex to the directrix is  

| p|

2-5 = p

-3 = p

( y-5) ^2 = 4*-3(x-2)

( y-5) ^2 =-12(x-2)

Answer:

Total Distance = 20km = 20 × 1000 = 20,000 m

Distance walked = 800m

Distance travelled by cycle = 20,000 - 800 = 19,200m

Percentage of journey by cycle = (distance travelled by cycle ÷ total distance) × 100

Percentage of journey by cycle = (19200 / 20000) * 100

Percentage of journey by cycle = 96%

Answer:

f(1) = -2

f(x) =1 when x=0 or x=-2

Step-by-step explanation:

f(1) is the y value when x=1

f(1) = -2

f(x) = 1 means find the x value when y=1

when y =1, x =0 and -2

Answer:

Step-by-step explanation:

Hello, by definition a perfect square can be written as [tex]a^2[/tex] where a in a positive integer.

So, to answer the first question, [tex]6^2[/tex] is a perfect square.

(a,b,c) is a Pythagorean triple means the following

[tex]a^2+b^2=c^2[/tex]

Here, it means that

[tex]x^2=20^2+21^2=841=29^2 \ \ \ so\\\\x=29[/tex]

Thank you.

Answer:

Its B

Step-by-step explanation:

Answer:

x1 = -4

x2 = 6

Step-by-step explanation:

The 2 vertical lines are "absolute values" meaning whatever they contain has to be positive

For Example

|-3| = 3

So we can ignore if the answer we get is positive or negative because it will forced to be a positive

|3 x 4| = 12

|x - 2| = 4

x1 = 6

x2 = -2

Answer:

-9p -4q + 69

Step-by-step explanation:

5p +4q + (-9p +69)

=> 5p + 4q -9p +69

=> -4p +4q +69

Now, we need to subtract 5p +8q from -4p + 4q +69

=> -4p +4q +69 - (5p +8q)

=> -4p + 4q +69 - 5p -8q

=> -9p -4q + 69

Answer:

The real reason of post test is to measure it's result in comparison to a pre test and determine d how much student has progressed over a term of instruction.

Answer:

A = 70 mm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 10, b₁ = 10, b₂ = 4 , then

A = [tex]\frac{1}{2}[/tex] × 10 × (10 + 4) = 5 × 14 = 70 mm²