In a math class with 26 students, a test was given the same day that an assignment
was due. There were 17 students who passed the test and 18 students who completed
the assignment. There were 15 students who passed the test and also completed the
assignment. What is the probability that a student who failed the test completed the
homework?

Answer:

Step-by-step explanation:

I assume that "side length" means the slant height of one of the triangular faces.

area of a triangular face = ½(base)(side length) = ½(7)(11.5) = 40.25 in

lateral area = all four triangles = 161 in²

base area = 7² = 49 in²

total surface area = lateral area + base area = 161+49 = 210 in²

The area of the pyramid is  1.4625 ft²

If the base of the pyramid is in the shape of a square (base with 4 sides), then it is called a square pyramid. As the square has 4 sides, then the square pyramid has the following properties: No. of Faces: (4+1) = 5 No.of Vertices: (4+1)= 5 No. of Edges: 2(4) = 8

Given here: The height is 11, the base is 7 in, and the side length is 11.5 inches of a pyramid.

The surface area of a square pyramid is the sum of the areas of its square base and four triangular faces:

SA = BA + (4 × FA)

     =[tex]a^2+a\sqrt{a^2+4h^2}[/tex]

Where a= base length and height = h

Thus inputting the values we get

SA= 7²+7[tex]\sqrt{7^2+4.11^2}[/tex]

   =49+7√533

    =210.60 in²

Thus in ft.² we have 1.4625 ft²

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Answer:

0.583

Step-by-step explanation:

You have a total of 12 coins in your pockets (3 nickels + 4 dimes + 5 quarters).

There are 7 nickels/dimes (3 + 4), meaning you have a 7/12 chance of picking either a nickel or a dime.

7/12 simplifies to 0.583.

You have a 0.583% chance of picking either a nickel or a dime.

Answer:

Step-by-step explanation:

n = 101 × 103 = 10,403

sum of digits = 8

Answer:

The midpoint of FH is (3;1)

Step-by-step explanation:

what do u need help with?

Step-by-step explanation:

I'm in confusion

¯\(°_o)/¯

Answer:

(x + 3)² - 12

Step-by-step explanation:

x²+6x-3

=  x²+ 6x + 9 - 12

= (x + 3)² - 12

The form of x² - 6x + 3 can be written as (x-3)² - 6.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given that;

Equation= x² - 6x + 3

Now,

To write x² - 6x + 3 in the form (x-a)²+ b, we can use the method of completing the square. This involves adding and subtracting a constant term to make the expression a perfect square trinomial. Here are the steps:

Write x² - 6x + 3 as x² - 6x + ___ - ___ + 3, leaving two blanks for the constant term.

To find the constant term, divide the coefficient of x by 2 and square it. In this case, -6/2 = -3 and (-3)² = 9. So we fill in the blanks with 9 and get x² - 6x + 9 - 9 + 3.

Factor the first three terms as a perfect square: (x - 3)² - 9 + 3.

Simplify the last two terms: (x - 3)² - 6.

Compare with the form (x-a)²+ b and identify a and b. In this case, a = 3 and b = -6.

Therefore, by the given equation the answer will be (x-3)² - 6.

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Answer:

equivalent

Step-by-step explanation:

i just know

Answer:

Step-by-step explanation:

Given the sequence -1,-7,-49,-343,....

We are to find the nth term of the sequence

dn = ar^n-1

a is the first term = -1

r is the common ration = -7/-1 = -49/-7 = 7

n is the number of terms

Substitute

dn = -1(7)^n-1

dn = -7^n-1

hence the nth term of the sequence is dn = -7^n-1

Answer:

(4,0)

Step-by-step explanation:

Answer:

5cm

Step-by-step explanation:

Given data

volume = 225π cm³

Height= 9cm

r= ???

Volume of cylinder

v=πr^2h

substitute

225π= π*r^2*9

225= r^2*9

r^2= 225/9

r^2= 25

r= √25

r= 5cm

Hence the radius is 5cm

Answer:

a) Rule for reflection across y - axis:

b) Rule for reflection across  x - axis:

Answer:

Grams

Step-by-step explanation:

Meters is for measuring height

Litres are for measuring water

Answer:

(2x+2y+7)(x+y+7)

Step-by-step explanation:

I suspect this is what you are expected to do.

Define z=x+y

2z^2+9z+7

2z^2+2z+7z+7

2z(z+1)+7(z+1)

(2z+7)(z+1)

(2x+2y+7)(x+y+7)

Answer:

[tex]y = -4[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0, -4)[/tex]

[tex](x_2,y_2) = (5, -4)[/tex]

Required

Determine the equation

First, calculate the slope using:

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

[tex]m = \frac{-4 - (-4)}{5 -0}[/tex]

[tex]m = \frac{-4 +4}{5}[/tex]

[tex]m = \frac{0}{5}[/tex]

[tex]m = 0[/tex]

The equation is then calculated using:

[tex]y = m(x -x_1) + y_2[/tex]

This gives:

[tex]y = 0(x - 0)-4[/tex]

[tex]y = 0-4[/tex]

[tex]y = -4[/tex]

Answer:

Step-by-step explanation:

D)

Hope that helps!

Answer:

C

Step-by-step explanation:

1/3S=9

multiply 3 on both sides

S=27

Answer 1 maybe

Step-by-step explanati

Yes,  negative 6 a rational number because it can be represented as a fraction of two integers.

A rational number is a number that can be expressed as a fraction of two integers, where the denominator is not zero.

It is any number that can be written in the form "a/b," where "a" and "b" are integers and "b" is not equal to zero.

The number -6 can be expressed as -6/1.

Here, -6 is the numerator and 1 is the denominator.

Both the numerator and denominator are integers, and the denominator is not zero.

Therefore, -6 can be represented as a fraction of two integers and meets the definition of a rational number.

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Answer:

52kg

Step-by-step explanation:

use cross multiplication method when encounter problems like these

a^2 + b^2 = c^2

A-15.1

B-13

Answer:

Diagonal = 10.44 m

Step-by-step explanation:

(3×3)+(10×10) = 109

Sq rt 109 = 10.44 m

Step-by-step explanation:

14 mm³ because the radius is this

Answer:

slope= (-1)

...................

Answer:

Step-by-step explanation:

Now e have two figures

1 is ABCD and other is APQD ,

Now to find g and f,

Now the are both figure is ,

Area = length * width

Area ABCD = 39 cm^2

AB* BC = 39

Again,

Area APQD = AP*QD= 16 cm ^2

from here f =16/g  putt it in above equation we get ,

(g+7)*16/g = 39

16*g-39*g+96 =0

-23g +96 = 0

g = 96/23

g =3 cm

Now for f putt in one of the above equation ,

f =16/3

f =5.33 cm

Answer:

f = 3cm g = 6cm

Step-by-step explanation: to find f

Subtract the area of APQD from ABCD then divide by 7

f = (39 - 18)/7

f = 21/7

f = 3

To find g, divide the area of APQD by 3

18/3 = 6

We can do this because of the givens: ABCD is a rectangle, PQ is parallel to AD, so BC=AD=PQ