There are 19 students in the class today 14 are absent. How many students are in class total? Draw a tape diagram that would represent this scenario. Solve X

Assuming you pick 3 students at random, The probability that at least two plan on attending college is 84%.

Using Binomial Distribution

Given:

n = 3

p = 0.75

q = 1-0.95 = 0.25

Hence:

P[≥2] = P[2] + P[3]=(3c2 ×0.75²×0.25) + 0.75³

P[≥2] = P[2] + P[3]=0.421875+0.421875

P[≥2] = P[2] + P[3]=0.84375×100

P[≥2] = P[2] + P[3]=84% (Approximately)

Inconclusion the probability that at least two plan on attending college is 84%.

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Answer:

x = 56°

Explanation:

Note: A straight line has total 180°

Answer:

x = 56°

Step-by-step explanation:

x + 124° = 180° ( being linear pair )

X = 180° - 124°

X = 56°

Answer:

55.5 cubic yards

Step-by-step explanation:

Here,

Length ( l ) = 5 yd

Base ( b ) = 3.7 yd

Height ( h ) = 3 yd

To find : Volume

This shape is a cuboild.

Formula : -

Volume of cuboild = lbh

Volume of cuboild

= 3 x 5 x 3.7

= 55.5 cubic yards

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 5 \times 3.7 \times 3}[/tex]

[tex] \mathsf \purple{v = 55.5 {yd}^{3} }[/tex]

55.5 cubic yards

The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is  147.44 in³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a triangular prism is given by:

Volume = Area of triangular base * height.

Hence, for a triangular right prism whose area is 15.2 inches. If its height is 9.7 inches:

Volume = 15.2 * 9.7 = 147.44 in³

The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is  147.44 in³

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Answer:

10x + 12y -15 =0

Step-by-step explanation

Answer:

£336 more

Step-by-step explanation:

2100/5 = 420 One fifth of the total lottery.

Colin has four shares so 4X420 = 1680

He then splits it into 10 (2+3+5) parts. 1680/10=168

Wife: 168X5=840

Son: 168X3=504

Wife-Son 840-504=336

Answer:

336£

Step-by-step explanation:

To get the amount of money colin gets

(2100*4)/5=1680

Lets do a table:

2. 5. 3. Sum:10

(2*1680)/10. (5*1680)/10. (3*1680)/10

=336. =840. =504

Answer:

10) 25π OR 78.5398...yd 11) 1/4π OR 0.785398...ft 12) 100π OR 314.159265....in

Step-by-step explanation:

area of a circle = πr^2 (π x radius squared)
the radius is just half the diameter

so for eg:

number 10)

diameter = 10 yd so radius = 5 yd

5 squared = 25

π x 25 yd = 25π OR 78.5398...yd

i hope this helped :)

Answer:

D) 28x + 14y

Step-by-step explanation:

7(4x + 2y)

Step 1: Distribute

(7 × 4x) + (7 × 2y)

Step 2: Simplify

28x + 2y

Answer:

[tex]\Longrightarrow \boxed{\sf{28x+14y}}[/tex]

Step-by-step explanation:

Use a distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

⇒ 7(4x+2y)

Multiply by expanding.

⇒ 7*4x=28x

⇒ 7*2y=14y

Then, rewrite the problem.

⇒ = 28x+14y

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

$11.75

Step-by-step explanation:

We need to first subtract to find our answer :)

43.87 - (8 + 9.49 + 2.88)

43.87 - 20.37

23.50

Now we divide :)

23.50/2 = 11.75

Have an amazing day!!

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Answer:

x = t+ka/k

Step-by-step explanation:

First you take letter k and place it after =sign which brings (x-a) = t/k because if you shift any number or letter after the = sign it has to be the opposite sign. for instance if it's positive, it will turn negative after the equal sign and if it is multiplication, it will turn division

Then you open the brackets which makes x-a = t/k

Now you shift "a" after the equal sign which leads to our answer, x= t +ka/k

Answer:

x = [tex]\frac{t+ka}{k}[/tex]

Step-by-step explanation:

k(x - a) = t ← distribute parenthesis on the left side by k )

kx - ka = t ( add ka to both sides )

kx = t + ka ( divide both sides by k )

x = [tex]\frac{t+ka}{k}[/tex]

Answer:

ITs a plus b then c ding

Step-by-step explanation:

Answer:

try the option provided in the attachment.

Table B and C are represent the function.

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;

To find which relations below represent functions.

Now,

We know that;

A relation between a set of inputs having one output each is called a function.

Hence, By table 1;

Each output has same input.

Thus, Its not represent function.

By table 2;

A set of inputs having one output each.

Hence, Its represent function.

By table 3;

A set of inputs having one output each.

Hence, Its represent function.

Thus, Table B and C are represent the function.

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Given the height and the side length of the square pyramid, the length of s is 12.81 cm.

A square pyramid is a three-dimensional object that is made up of a square base and four triangular bases that are joined together at a vertex.

S in the diagram represents the slant height of the square pyramid.

The formula that can be used to determine the slant height is:

s² = r² + h².

Where:

r = side length / 2 = 16/2

s = √8² + 10²

s = 12.81 cm

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ATQ

[tex]\\ \rm\rightarrowtail 3x+5x=720[/tex]

[tex]\\ \rm\rightarrowtail 8x=720[/tex]

[tex]\\ \rm\rightarrowtail x=90[/tex]

Second part:-

5x=5(90)=450

Work Shown:

Estimate = 1.25*(actual time)

Estimate = 1.25*(16)

Estimate = 20

Bryan estimated it would take 20 minutes.

Note: The multiplier 1.25 represents an increase of 25%

Answer:

  210 cm²

Step-by-step explanation:

The area of the triangle can be found using the triangle area formula:

  A = 1/2bh

  A = 1/2(12 cm)(35 cm) = 210 cm²

_____

Additional comment

The legs (short sides) of the right triangle are effectively the base and height of the triangle.

The area of the right angle triangle is 210 square centimeters if the side lengths are 12 cm, 35 cm, and 37cm

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

We have a right angle triangle with side lengths of 12cm, 35cm, and 36cm

Here the base length b = 12 cm

The height of the right angle triangle h = 35 cm

We know the formula for the area of the right angle triangle is given by:

[tex]\rm A = \frac{1}{2} bh[/tex]

[tex]\rm A = \frac{1}{2} \times 12\times 35[/tex]

A = 210 square centimeters

Thus, the area of the right angle triangle is 210 square centimeters if the side lengths are 12 cm, 35 cm, and 37cm

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Answer:

[tex]f(x)=500*(.057)^x[/tex]

Step-by-step explanation:

Distance:-

[tex]\\ \rm\Rrightarrow \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{(10-1)^2+(6-4)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{9^2+2^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{81+4}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{85}[/tex]

[tex]\\ \rm\Rrightarrow 9.22units[/tex]

Refer to the attachment for your answer, just remember the fact that as x is an integer in 2nd question and x > 3.66... so x's smallest value will just be 4, and in 1st question you can use the number line for a better understanding

Answer:

Yes Girlie, you need to multiply by x and divide by 15!!!!!!!!!

Step-by-step explanation:

Answer:

y=3x

Step-by-step explanation:

hello :

an equation is : y=ax  (  the line that passes through (0, 0) )

and (2, 6): x= 2   y=6     qo : 6 = a ×2        a =3

an equation of the line that passes through (0, 0) and (2, 6) is : y=3x

The equation of the line passing through the points (0, 0) and (2, 6) is:

y = 3x.

The equation of a line is a relation between the dependent variable y and an independent variable x, used to determine the value of y for a given x. The general form of such an equation is,

y = mx + b, where m is the slope and b the y-intercept.

The two-point formula is the formula used to determine the equation of a straight line when the slope m and the y-intercept b are not given, but we know two points on the line.

The formula is such: y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁).

We have been given two points on the required line, (0, 0) and (2, 6)

We take the points as (x₁, y₁), and (x₂, y₂) respectively.

∴ x₁ = 0, x₂ = 2, y₁ = 0, y₂ = 6.

Since it's an equation of a line, we use the two-point method to determine the equation.

The two-point formula is:

y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁)

Substituting the values we have, we get:

y - 0 = ((6-0)/(2-0))*(x-0)

or, y = 3x.

∴ The equation of the line passing through the points (0, 0) and (2, 6) is:

y = 3x.

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Answer:

There is not a slope perpendicular to the lie x = -6

Step-by-step explanation:

In this equation, you are given a line, x = -6.

This is in fact a line with an undefined slope. The slope for a perpendicular intersection is the opposite reciprocal of the slope.

Eg. If you have the line y = 2x

The reciprocal is y = 1/2x, the opposite means negative

So the slope that would intersect this line perpendicularly is y = -1/2x.

There is an undefined slope in this, therefore, you cannot find the slope for a line perpendicular to x = -6.

If it were an option, I would choose "no slope"

Answer:

1052.39 cm2

Step-by-step explanation:

too lazy to type all that

1) find the radius of the half circle using pythagorus. (34-16=18, √30^2-18^2 = 24 = diameter. radius = 12)

2) find the area of the cirlcle then divide by 2 youll get the area of the half circle

3) find the area of the other thing (i forgot its name) using

1/2×24×(16+34) = 600

then add them up

Answer:

50%

Step-by-step explanation:

the first number represent 0% then 25% then 50% then 75% then 100%

6 was in the half so 50%

Answer:

x = 28.744

Step-by-step explanation:

Seeing as this is a right triangle, and you're given an angle, an unknown measurement to the opposite side, and the measure of the adjacent side. You can use trig functions. In this case, tangent, because you are given the opposite and adjacent, and tangent covers opposite/adjacent.

Tan(32)=x/46

Tan(32)46=x

28.744=x

Answer:

Step-by-step explanation:

Side₁ = 1.8 +3.2 = 5 cm

Side₂ = 3 cm

Side₃ = 4 cm

Perimeter of triangle = sum of all the three sides

                                   = 5 + 3 + 4

                                   = 12 cm

[tex]\boxed{\text{Area of triangle =$\dfrac{1}{2}*base * height$}}[/tex]

                          [tex]=\dfrac{1}{2}*5*2.4\\\\\\= 5*1.2\\\\= 6 \ cm^{2}[/tex]

Answer:

[tex]y = \frac{1}{3} x^2[/tex]

Step-by-step explanation:

Vertical stretch = widens graph

Factor = multiply by [tex]\frac{1}{3}[/tex]

FINAL RESULT: [tex]y = \frac{1}{3} x^2[/tex]

Hope this helps!