The probability of winning a prize in the drawing is one in a million. What is the probability if not winning a prize in the drawing?

Applying the law of cosine, the largest angle in the given triangle, to the nearest whole degree, is: 99°.

Law of cosine is, c² = a² + b² - 2ab(cosC)

Let,

Plug in the values into the formula for the law of cosine:

26² = 15² + 19² - 2(15)(19)(cosC)

676 = 586 - 570(cosC)

676 - 586 = -570(cosC)

90 = -570(cosC)

90/-570 = cos C

-0.1579 = cos C

C = cos^(-1)(-0.1579)

C = 99°

The largest angle = 99°

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Answer:

5x-20

Step-by-step explanation:

Using the distributive property, we "feed" x and -4 the 5. So x turns into 5x and -4 turns into -20

Answer:

√7

Step-by-step explanation:

√7 is the only irrational number because it has the radical sign

√

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Answer:

1/6 is left

Step-by-step explanation:

A woman gives 1/4 of a cake to her son 1/4 to her daughter, and 1/3 to her husband. What fraction is left?

As 4*3=12, we need to convert into twelfths.

3/12 + 3/12 + 4/12 = 10/12. This needs to be subtracted from 1 (12/12).

12/12 - 10/12 = 2/12. Simplify to 1/6.

1/6 is left.

Answer:a. >

Step-by-step explanation:

Answer:

The answer is eight

Step-by-step explanation:

4*2=8

Answer:

Step-by-step explanation:

Perpendicular formula

m1 * m2 = - 1

Givens

m1 = - 7

m2 = ??

Solution

-7 * m2 = -1

m2 = 1/7

y = 1/7 x + b

x = 8

y = -3                     Substitute these values into y = 1/7 x + b

-3 = (1/7)*8 + b    

-3 = 8/7 + b          Subtract 8/7  from both sides

-3 - 8/7 = b

-4 1/7 = b

Answer (perpendicular line) y = (1/7) x - 4 1/7  or

Answer (perpendicular line) y = (1/7) x - 4.14

Parallel line

Nothing changes except you have a different y intercept.

y = -7x + b

x = 8

y = -3                           Substitute these values into y = -7x + b

-3 = -7*8 + b

-3 = - 56 + b

-3 + 56 = b

b = 53

Equation Parallel line: y = -7x + 53

Answer:

-4/5

Step-by-step explanation:

To find the slope of a line with two points, we do y2-y1/x2-x1.

y2 is 2. y1 is 6.

2-6 = -4

x2 is 8. x1 is 3

8-3 = 5

-4/5 is the answer meaning it is the slope.

Answer:

Slope of this line = -4/5.

Step-by-step explanation:

The formula is

Slope = (y2-y1)/(x2-x1)  where (x1, y1) and (x2, y2)  are  the 2 points.

So here we have:

(6-2)/(3-8)

= -4/5.

Answer:

turn it

Step-by-step explanation:

In calculating the mean of this data set  Ashrita did the best job.

The  Mean of the data set is the most commonly used measures of central tendency.

It means the average value of the data set.

one doesn't have to arrange the data in order  for finding it.

The data set value  takes is to add them all together and divide that by the number of the data.

It can be written as

[tex],(x_1 + x_2 + x_3 + ..... + x_n) / n[/tex]

Where [tex]x_1 , x_2 , x_3 , ..... ,x_n[/tex]are the values in the data set

Therefore we can conclude that Ashrita did the best job in calculating the mean of this data set.

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Answer:

158

Step-by-step explanation:

I'm pretty sure it's this. I know it's either this or 4, but this is more likely

Answer:

The answer is 4

Step-by-step explanation:

2+2=4. Brainly patrol, stop deleting my answer!

The approximate measure of angle acb in right triangle abc in which the length of the hypotenuse, line segment ac is 25 cm is 53.1 degrees.

In a right angle triangle, ratio of the adjacent side to the hypotenuse side is equal to the cosine angle between them.

[tex]\cos\theta=\dfrac{b}{c}[/tex]

Here, (a) is the adjacent side, (c) is the hypotenuse side and θ is the angle made between them.

The right triangle abc is given, in which,

According to the right angle triangle property,

[tex]\cos(acb)=\dfrac{bc}{ac}\\\cos(acb)=\dfrac{15}{25}\\\angle acb=\cos^{-1}(0.6)\\\angle acb=53.1^o[/tex]

Hence, the approximate measure of angle acb in right triangle abc in which the length of the hypotenuse, line segment ac is 25 cm is 53.1 degrees.

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Answer:

53.1 degrees.

Step-by-step explanation:

The amount of the gross pay of the employee is 726.80 dollars. Then the correct option is D.

Taking two or more numbers and adding them together, or the entire amount of two or more numbers in addition.

A statement of an employee's biweekly earnings is given below. earnings deductions week ended regular is shown below.

$62.00, $45.06, $10.54, $12.40, $596.80

Then their sum will be

→ $62.00 + $45.06 + $10.54 + $12.40 + $596.80 = 726.80

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Step-by-step explanation:

If you have any dout you can ask me.

Step-by-step explanation:

I think you made some mistakes in the problem definition.

I guess you mean

9 = (1/27)^(a+3)

let's think about how to create 9 out of 1/27 just by using exponents.

we note that 27 is 3³. and therefore the cubic root of 27 is 3.

so,

(1/27)^(1/3) = 1/3

because the exponent 1/3 means "cubic root". an exponent 1/2 means square root. and so on.

making the exponent negative means 1/...

so,

(1/27)^(-1/3) = 3

and now, with what exponent operation can we turn 3 into 9 ?

by squaring it.

so,

((1/27)^(-1/3))² = 9

putting an exponent on an exponent means to multiply the exponents during simplification.

therefore,

((1/27)^(-1/3))² = (1/27)^(-2/3) = 9

that means

a + 3 = -2/3

a = -2/3 - 3 = -2/3 - 9/3 = -11/3

so, the first answer option is correct.

Using the permutation formula, as the order is important, it is found that the officers can be chosen in 6840 ways.

Each "position" is a different role(president, vice president and secretary), hence the order is important.

The number of possible permutations of x elements from a set of n elements is given by:

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

In this problem, 3 people will be chosen from a set of 20, hence:

[tex]P_{20,3} = \frac{20!}{17!} = 6840[/tex]

The officers can be chosen in 6840 ways.

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Answer:

Question 6 answer is 35

Step-by-step explanation:

using pythagoras theorem, hypotenuse²= opposite²+ adjacent²

since it is said that we're looking for the hypotenuse then the values given are for opposite and adjacent.

therefore, hyp²= 21²+28²

hyp²= 1225 take square root of both sides to eliminate square and find hypotenuse

hyp= 35

[tex]x^3-2x^2-5x +6\\\\=x^3-x^2-x^2+x-6x+6\\\\=x^2(x-1)-x(x-1)-6(x-1)\\\\=(x-1)(x^2 -x -6)\\\\=(x-1)(x^2 -3x +2x -6)\\\\=(x-1)\textbf{[} x(x-3) +2(x-3)\textbf{]}\\\\=(x-1)(x-3)(x+2)[/tex]

The requried, factored form of the given expression is (x - 1)(x - 3)(x + 2).

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

To factor the polynomial f(x) = x³ – 2x² – 5x + 6 completely, we can use a combination of the rational root theorem and synthetic division.

We can use synthetic division to test each possible root and see if it is a factor of the polynomial. Starting with x = 2, we have:

2 | 1 -2 -5 6

  | 2 0 -10

  |_____________

1 0 -5 -4

Since the remainder is not zero, x = 2 is not a factor of the polynomial. Continuing with the other possible roots, we find that x = 1 and x = 3 are roots, but x = -1, x = -2, x = -3, and x = -6 are not roots.

Therefore, we can factor the polynomial as follows:

f(x) = x² – 2x² – 5x + 6

= (x - 1)(x - 3)(x + 2)

So the completely factored form of f(x) is f(x) = (x - 1)(x - 3)(x + 2).

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Answer:

2. Letter B, see the attachment?

and also, I can't answer the #1 because I can't read it. I'm sorry

Already done #1 in your other question.

#2

Comapre to slope intercept form

Parallel lines have equal slope

Equation in point slope form

The solution of the provided equation (x – 3)(x 9), which is the product of two binomial equation, is 0.

The solution of the quadratic equation is the solution of the variable of the equation, for which the equation satisfies.

To find the solution of the equation, equate it to zero after factorizing it.

The equation provided in the problem is,

[tex](x - 3)(x+ 9)=-27[/tex]

Simplify the equation with the help of mathematical operations,

[tex](x - 3)(x+ 9)=-27\\x^2-3x+9x-27=-27\\x^2+6x-27+27\\x^2+6x=0\\x(x+6)=0[/tex]

Equate the factors to zero,

[tex]x=0;\; x=-6[/tex]

Hence, the solution of the provided equation (x – 3)(x 9), which is the product of two binomial equation, is 0.

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Answer:

Green heart is 2 and blue shape is 8.

Step-by-step explanation:

We know 1 purple drop equals 3.

So 3+3 = 6

The total weight is 16 so we can do 16-6 = 10

We have 10 left. Since we need the weight to be balanced the green heart must be 2.

Because then it would be 8 on 1 side (2 purples equals 6 and 1 heart equals 2, so 6+2=8) and 8 on the other side (8+8=16).

Answer:

A table that represents a linear equation should be your answer. This means your slope should be constant/straight not like a parabola or absolute function.

Step-by-step explanation:

When you're trying to solve something using slope-intercept you can graph it or plug numbers for (x,y).  

Graph:

Start at (0,-3)

Then plot the point since that is your Y-Intercept

Then go 5 up and 4 over to find your next point.

Once done, you should connect the dots to form a slope or a linear equation.

Answer:

Step-by-step explanation:

Cylinder

Start by finding the volume of the cylinder as though the spheres were not there.

Volume of a cylinder = pi r^2 h

r = 6 inches

h = 25 inches.             Put the givens in the formula

Volume = pi 6^2 * 25

Volume = pi * 36 * 25

Volume = 900 pi

One sphere

Don't try and find the volume of both spheres. Just do one and double it.

V = pi * (4/3) * r^3

r = 6 inches

V = pi * (4/3) * 6^3

V = pi * 288 Cubic inches

Two spheres

Total volume spheres = 2 * 288 pi

Total Volume of spheres = 576 pi

Volume of the shaded region.

The following will act as a formula for the answer to the question

V_shade = Volume of the cylinder - volume of the 2 spheres

Substitute values into formula

Volume shade = 900 * pi - 576* pi       Take out common factor (pi)

Volume shade = pi  * (900 - 576 )

Volume of the shaded area

Volumne shade = pi *324

pi = 3.14

Volume shade = 1017.36

Answer:

volume of the shaded region = 1018

Step-by-step explanation:

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 90% confidence interval is (246.6, 282.8).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 16 - 1 = 15 df, is t = 1.7531.

Researching the problem on the internet, the standard deviation was of 42.1 mg/dL, hence the parameters are as follows:

[tex]\overline{x} = 264.7, s = 41.2, n = 16[/tex]

Thus, the bounds of the interval are given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 264.7 - 1.7531\frac{41.2}{\sqrt{16}} = 246.6[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 264.7 + 1.7531\frac{41.2}{\sqrt{16}} = 282.8[/tex]

The 90% confidence interval is (246.6, 282.8).

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Answer:

189.9394

Step-by-step explanation:

Since 6 is >= 5, the 3 thurns into a 4

Answer:

Step-by-step explanation:

1st one false 2 one false the third one true