What are the coordinates of point K?

Answer:

The exponential probability should be 33%.

Step-by-step explanation:

[tex]4 \div 12 = .33 \\ [/tex]

[tex].33 \times 100 = 33\%[/tex]

The experimental probability of rolling a multiple of 3 will be 33%.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A pair of dice was rolled many times and the results appear below. Based upon these results.

Outcome      2     3     4     5     6     7     8     9     10     11     12

Frequency    3    6     8     11     14   16    15    12     9      5      1

Then the experimental probability of rolling a multiple of 3 will be

Favorable events = 6 + 14 + 12 + 1 = 33

Total events = 100

Then the probability will be

P = (33 / 100) x 100

P = 0.33 x 100

P = 33%

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B. [tex](x - 5)(x - 1)[/tex] ✅

Step-by-step explanation:

[tex] {x}^{2} - 6x + 5 \\ \\ = \:{x}^{2} - 5x - x + 5 [/tex]

Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have

[tex] =\: x(x - 5) - 1(x - 5)[/tex]

Taking the factor [tex](x-5)[/tex] as common,

[tex]=\:(x - 5)(x - 1)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

Step-by-step explanation:

Answer:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.

θ=arccot(x/o)

Answer:

(a) R = P +C

Revenue= Profit + Cost

(b) R = $6000

Step-by-step explanation:

(b) R = $4525 + $1475

        = $6000

Answer:

7

Step by step explanation:

1. multiply both sides by 3

          3(x+5)/3 =4 x 3

2. Simplify

   x + 5=12

3. Subtract 5 from both sides

   x+5-5=12-5

4. Simplify

  7

Answer:

y=2x-1

Step-by-step explanation:

use slope formula

the substitute into slope intercept form

Answer: 3+2×(8-5)+6 =15

[tex]\sf\purple{15}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3 + 2 \times (8 - 5) + 6 \\ \\ = 3 + 2 \times 3 + 6 \\ \\ = 3 + 6 + 6 \\ \\ = 15[/tex]

[tex]\sf\purple{BODMAS\: rule.}[/tex]

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

Number is 36

Step-by-step explanation:

Let the number be x

one half  of the number is  [tex]\frac{1}{2} x[/tex]

6 subtracted from one half is 12, That is,

                                                             [tex]\frac{1}{2} x - 6 = 12\\\\\frac{1}{2}x = 12 +6 \\\\x = 18 \times 2 = 36[/tex]

Answer:

23x - 8 is the answer in simplify that expression

Answer:

[tex]3(7x)-2(4-x)[/tex]

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

hope it helps...

have a great day!!

Answer:

a coin flip

Step-by-step explanation:

The probability of an event is a number describing the chance that the event will happen. An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero.

Answer:

OH NO

Step-by-step explanation:

Step-by-step explanation:

oh srr, I'm Vietnamese and I don't know your

country's solution

but i think my answer is correct :((

Answer:

6.6

Step-by-step explanation:

Triangles ADE and ABC are similar.

Therefore,

AD/AB=AE/AC

3/8=4/AC

3AC=32

AC=10.6(3 s.f)

CE=10.6-4=6.6

Answer:

in three different ways the first one gets a gold one the other 4 printers get silver n the last 4 printers get bronze.

Answer:

e. Approximately normal with mean of $406,274 and standard deviation $3534

Step-by-step explanation:

Given,The distribution of the sales prices of these homes was as strongly right-skewed with a mean of $406,274 and a standard deviation of $49,981 & Sample of Size 200 Are Drawn .

Now, By the Central Limit Theorem, the approximately normal Mean is $406,274 .

And,

Standard deviation ⇒ s= σ / √n ⇒ $49981 / [tex]\sqrt{200}[/tex]

⇒ $49981 / 10×√2 ⇒ $4998.1 / √2 ⇔ $3534.72 ≈ $3534

Answer:

if the question is how much does the pizza and coke cost then:

1 slice of pizza is $5 and coke is $2

Step-by-step explanation:

(2×$5)+(1×$2)=$12

(3×$5)+(2×$2)=$19

Answer:

diameter [d]=15cm

radius [r]=7.5cm

slant height be l

and

height be h.

lateral surface area of cone =

πrl=477cm²

l=477/(3.1416*7.5)

l=20.244

now

h=[tex]\sqrt{20.2²-(7.5/2)²}=20cm[/tex]

height=20cm.

LSA of cone = πrl = 477cm²

L = 477/(3.1416 × 7.5)

L = 20.244

Height (h) = √{20.2²-(7.5/2)²}

h = 20cm

Answer:

990

Step-by-step explanation:

99+88+77+66+55+44+33+22+11+11+22+33+44+55+66+77+88+99=990

Answer:

Answer:

990

Step-by-step explanation:

99+88+77+66+55+44+33+22+11+11+22+33+44+55+66+77+88+99=990

Step-by-step explanation:

Answer:

What is 1/3 of 814

Step-by-step explanation:

What is 1/3 of 814

Answer: I think C

Step-by-step explanation:

Answer:

ST = 15

Step-by-step explanation:

Given:

QR = 3x

LM = x + 9

ST = 6x - 3

Required:

ST

Solution:

First, we need to find the value of x by creating an equation.

Based on the trapezoid mid-segment theorem, we have the following equation:

LM = ½(QR + ST)

Substitute

x + 9 = ½(3x + 6x - 3)

x + 9 = ½(9x - 3)

Multiply both sides by 2

2(x + 9) = 9x - 3

2x + 18 = 9x - 3

Collect like terms

2x - 9x = -18 - 3

-7x = -21

Divide both sides by -7

x = -21/-7

x = 3

Find ST:

ST = 6x - 3

Plug in the value of x

ST = 6(3) - 3 = 18 - 3

ST = 15

Step-by-step explanation:

Well it would be 8.75 ×7 which is 61.25m

Answer:

[tex]\frac{37}{2}[/tex] ÷ [tex]\frac{17}{4}[/tex]

Step-by-step explanation:

[tex]18\frac{1}{2} =\frac{37}{2}[/tex]

[tex]4\frac{1}{4} =\frac{17}{4}[/tex]

[tex]\frac{37}{2}[/tex] ÷ [tex]\frac{17}{4}[/tex]

Given:

Summation problem is:

[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]

To find:

The properties or formulas must be used to evaluate the given summation.

Solution:

We have,

[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]

In can be rewritten as:

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}(n^3+n)[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}n^3+\sum\limits_{n=1}^{35}n[/tex]        [tex]\left[\because \sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i\right][/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(35+1)}{2}\right]^2+\dfrac{35(35+1)}{2}[/tex]  [tex]\left[\because \sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2\right][/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(36)}{2}\right]^2+\dfrac{35(36)}{2}[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[630\right]^2+630[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=396900+630[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=397530[/tex]

Therefore, the properties and formula used are:

[tex]\sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i,\\\sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\\\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2[/tex]

Answer: see attachment below

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

I did the math

Answer:

it's 2 :)

Step-by-step explanation:

quotient is a term used in division so you divide

16 divided by 8 is 2 <3

don't forget to say thanks if you got it right ! :)

The value of function f (- 2) would be,

⇒ f (- 2) = 3 / 4

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The value of function is,

⇒ f (x) = 3 × 2ˣ

Now,

At x = - 2;

The value of function f (- 2) would be,

⇒ f (x) = 3 × 2ˣ

⇒ f (- 2) = 3 × 2⁻²

⇒ f (- 2) = 3 × 1 / 4

⇒ f (- 2) = 3 / 4

Thus, The value of function f (- 2) would be,

⇒ f (- 2) = 3 / 4

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Answer:

a) 0.9998

b) 0.9979

c) 0.7

d) 0.9155

Step-by-step explanation:

P( people who wear their ties tightly ) = 0.3

P( people who do not wear their ties tightly ) = 1 - 0.3 = 0.7

sample size ( n ) = 30

Given that the events are independent and there are only two outcomes we will apply Binomial distribution

a) P( at least one tie is too tight )

P ( x ≥ 1 ) = 1 - P ( x < 1 ) = 1 - P ( x = 0 )

       = 1 - 0.00002 = 0.9998 ( excel function: 1 - BINOMDIST(0,30,0.3,0) )

b) P( more than two ties are too tight )

P ( x > 2 ) = 1 - P ( x ≤ 2 ) = 1 - BINOMDIST(2, 30, 0.3, 1 )

                                       = 1 - 0.002113178

                                       = 0.9979

c) P ( no tie is tight )

P ( x = 0 ) = 0.7

d) P( at least 18 ties are not too tight )    i.e. ( P = 0.7 )

   P ( x ≥ 18 ) = 1 - P( x ≤  17 )

                     = 1 - BINOMDIST ( 17, 30, 0.7, 1 )

                     = 1 -  0.08447006

                    = 0.9155

Answer:

36

Step-by-step explanation: