Which of the following fractions is in simplest form?
A) 6/20
B) 8/14
C) 9/16
D) 15/35

Answer:

The probability that two of them

die is 0.257

Step-by-step explanation:

From the question, we have that the mortality rate is 0.1

So the probability that they will survive is 1-0.1 = 0.9

Now, we want to check that two will die

We are going you use the Bernoulli approximation of the Binomial theorem as follows

= nCr * p^n * q^(n-r)

where n = 16

r = 2

P = 0.1

q = 0.9

Substituting these values;

14 C 2 * 0.1^2 * 0.9^12

= 0.257

Answer:

what? im confused

Step-by-step explanation:

Answer:

A protractor is a tool used to measure angles in degree. There are two basic types of protractors. One that measures 180º (half a circle). One that measures 360º (a full circle).

Answer:

73.36

Step-by-step explanation:

A can of juice is 6 inches high

The diameter is 4

Radius= 4/2

= 2

Hence the volume of the can (cylinder,) can be calculated as follows

= πr^2h

= 3.142× 2^2 × 6

= 73.36 inches

Answer:

It's the first one and the fourth one.

Step-by-step explanation:

Answer:

A, D

Step-by-step explanation:

Answer:

3 batches

Step-by-step explanation:

Given that :

Let Number of batches of cupcakes made = x

12 eggs was used to make x batches

Number of eggs used per batch = 4

If 4 eggs was used for a batch :

Number of batches of cupcakes made :

12 eggs / 4 eggs

= 3 batches

Answer:

b. y-intercept

Step-by-step explanation:

The slope=the number/s before the x

X=49°

Step-by-step explanation:

we have an isosceles triangle

thus our equation is

x+x+82=180°

=>2x+82°=180°

cancel 82 from both sides

=>2x=98

divide both sides by 2

therefore

X=49

Answer:

([tex]GS[/tex]) || ([tex]EA[/tex])

Step-by-step explanation:

When two lines are parallel, all four angles formed by the intersection of the two lines are right angles, meaning their angle measures are (90°). This means that alternate interior angles are congruent because all alternate interior angles measures equal (90°). Therefore, by the alternate interior angles converse theorem, lines ([tex]GS[/tex]) and ([tex]EA[/tex]) are parallel.

The alternate interior angles converse theorem states if two angles are congruent and they have the relation of being a part of two lines intersected by a third line, then the two non-intersecting lines are parallel.

Answer:

-35

Step-by-step explanation:

[tex]-5 = \frac{1}{7}a\\-35 = a[/tex]

I got this by multiplying the numerator by 7. This allows the denominator to be the same as the numerator, thus equalling 1.

1 * a = a

Answer: a = -35

Step-by-step explanation:

1. -5 = 1/7(a) || GIVEN

2. -5 * (7) = (7) * 1/7(a) || Isolate "a" on one side of the equation by multiplying 7 to the other side.

3. -35 = a

Answer: 41 meters squared

Step-by-step Explanation:

First, just find the area of the rectangle:

7 x 5 = 35

Then first the area of the triangles, 3 x 2/2 x 2 = 6

all together the surface area is 41 meters squared.

awnser

y + 10

Step-by-step explanation:

cause math says so

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Answer:

  C.  25°

Step-by-step explanation:

A useful relation for this geometry is "an exterior angle of a triangle is equal to the sum of the remote interior angles." The measure of arc BC is the same as the measure of central angle BDC, which is an exterior angle of triangle ACD.

__

Triangle ACD has sides AD and CD that are radii of the circle, so it is an isosceles triangle with angle A ≅ angle C. Exterior angle BDC is the sum of those congruent angles:

  ∠BDC = ∠CAD +∠ACD

  50° = 2×∠ACD

  25° = ∠ACD . . . . . . . . divide by 2

Answer:

$9.00

Step-by-step explanation:

1.75 x 2 = 3.5+5.5= 9

Answer:

x = 58°

Step-by-step explanation:

ABCD is a cyclic quadrilateral and opposite angles are supplementary , so

∠ DAB = 180° - 121° = 59°

The angle between a tangent and a chord is equal to the angle in the alternate segment, then

∠ ABD = 63° , thus

x = 180° - (59 + 63)° = 180° - 122° = 58°

Answer:

A=2(wl+hl+hw)

Step-by-step explanation:

(9x9+17x9+17x9)

=387

=2x387=774

A=774

Answer:

x-12

Step-by-step explanation:

(x+12)*(x-12)

x*x=x²

12x-12x=0

12*-12=-144

Answer:

2.7

Step-by-step explanation:

hope you understand if you don't understand tell me I'll try again.

Answer:

hmmm well.

Step-by-step explanation:

they added £4

Answer:

40%

Step-by-step explanation:

The formula for percentage change is given by:

[tex]\boxed{\text{Percentage change}=\frac{\text{New}-\text{Original}}{\text{Original}}\times100\% }[/tex]

In this case, the original price is £10 while the new price is £14.

Substitute the values into the formula:

Percentage change

[tex]=\frac{14-10}{10} \times 100\%[/tex]

= 40%

To learn more about percentage change, check out: https://brainly.com/question/26288335

Answer:

6

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

s = 1/5 / 1/3

s = 1/5 * 3/1 = 3/5

Answer:

70

Step-by-step explanation:

Opposite Angles are supplementary in cyclic quadratlerials.

Answer:

14.2 units

Step-by-step explanation:

Here x increases by 11 from -5 to +6.  This is the length of the horizontal leg of a right triangle.  Then y decreases by 9 from 7 to -2.  This is the length of the vertical leg.  The hypotenuse of this triangle may be found using the Pythagorean Theorem:

11^2 + 9^2 = (hypotenuse)^2, or

hypotenuse = √(121 + 81) = √202 ≈ 14.2 units

Answer:

≈ 14.2

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 5, 7) and (x₂, y₂ ) = (6, - 2)

d = [tex]\sqrt{(6+5)^2+(-2-7)^2}[/tex]

  = [tex]\sqrt{11^2+(-9)^2}[/tex]

  = [tex]\sqrt{121+81}[/tex]

  = [tex]\sqrt{202}[/tex]

  ≈ 14.2 ( to the nearest tenth )

Answer:

B

Step-by-step explanation:

You find the multiplicity by looking at the power of the original root. You can imagine it as [tex](x+7)^1(x+3)^2[/tex]. Now set those equal to 0 to find the value of them as roots.

[tex]x+7=0\\x+3=0[/tex]

Solve them both and you get:

[tex]x=-7\\x=-3[/tex]

Now as we saw in the origin of the roots above that (x + 7) was raised to the first power. That means it has a multiplicity of one, which also means it crosses when it reaches the x-axis. (x + 3) however had a multiplicity of 2, since it was squared. That means that (x + 3) will touch and turn the x-axis.

Therefore the answer is B since that agrees with everything we said.

Answer:

Slope = -1

Step-by-step explanation:

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of a line passing through two points A(1, 4) and B(3, 2) will be,

Slope = [tex]\frac{4-2}{1-3}[/tex]

          = (-1)

Therefore, slope of the line is (-1).

Answer:

$34.77

Step-by-step explanation:

Answer:

40% of 300=120

Step-by-step explanation:

40% of 300= 40/100 x 300= 40x3= 120 students