Probability can be expressed as either a decimal, a percentage or a fraction. But no
matter what form it takes, it means the same thing, 1/10, 0.1 and 10% are all different ways
of expressing the same probability.
An easy way to convert a percentage to a fraction is to put the number of the percentage
over 100 and then simplify, for example, 75% is the same as 75/100, or 3/4 The first two
places after a decimal point are the same as a percentage: 0.15 is equal to 15%, and 0.3 is
equal to 30%
Al
E
SI
Which probability is equal to 25%?
A
5/100
B
1/4
С
25/1
D
4/5

Answer:

$4.99 + .30X

Step-by-step explanation:

The base price is 4.99

then you have to add the additional .30 for each ounce the package weighs.

The weight is unknown, so I used X. It will be .30 multiplied by x

Answer:

0.8679.

Step-by-step explanation:

Answer:

1302

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

I'm guessing you want to find the value of D.

so,

-0.4 = 3d -10

3d = 9.6

d = 3.2

Answer: 3.2

Step-by-step explanation:

-0.4= 3d + (-10)

-0.4= 3d -10

add 10 to both sides

9.6 =3d

d= 9.6/3

d = 3.2

Answer:

2: 142.5

3: 42

Step-by-step explanation:

Remark

Problem 2

The diagonals of a kite meet at right angles. They also bisect each other. So the two triangles on the left and right side of the kite are congruent.

Because the smaller diagonal is bisected, you need only find the area of 1 of the triangles and double it.

1/2 of the smaller diagonal is the altitude of the triangle. The base is the other larger diagonal.

Solution

Area of the left triangle

Givens

altitude = 7.5

Base = 14 + 5 = 19

formula

Area = 1/2 * B * h

Solution

Area = 1/2 * 19 * 7.5

Area = 71.25

But there are 2 such triangles

Area of both = 71.25 * 2 = 142.5

Answer: A

Problem 3

Remark

The way they have given you the problem, you could be easily fooled. The 2 does not help you at all.

A parallelogram has an area of B * h. Those are the two numbers you use.

Givens

Base = 6

height = 7

Formula

Area = B * h

Solution

Area = 6*7

Area = 42

Answer: Area = 42m^2

Using proportions, it is found that the cost of 1 gallon of water, rounded to the nearest cent, is of $0.05.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that he uses 3.5 x 10 = 35 gallons for a 10 minute shower, which costs $1.9. Hence the cost of a gallon is of:

$1.9/35 = $0.05.

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Answer:

2.50x + 3.75y = 33.75

Step-by-step explanation:

Answer:

(0,0)

Step-by-step explanation:

a diameter means The average of two measurements of the diameter taken at right angles to each other. so if you try graphing you will be able to find out its (0,0) is the center of the circle coordinates

The coordinates of the center of this circle is (0,0).

The center of a circle is the midpoint of the diameter. So, by using the midpoint formula, if the endpoints of the diameter are (a, b) and (c, d), then the coordinates of the center of circle are [(a + c)/2, (b + d)/2].

According to the question

The endpoints of the diameter of a circle are (6, 0) and (-6, 0).

now ,

(a,b) =  (6, 0)

(c, d)= (-6, 0)

coordinates of the center of circle = [ [tex]\frac{a+c}{2} ,\frac{b+d}{2}[/tex] ]

⇒ [tex]\frac{6-6}{2} ,\frac{0+0}{2}[/tex]

⇒ (0,0)

Hence, the coordinates of the center of this circle is (0,0).

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# SPJ2

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

Formula :

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

Volume = Length x Width x Height

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

Find volume :

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

[tex]Volume=6 \frac{2}{3} *2*2[/tex]  

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

Change to improper fractions :

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

[tex]Volume=\frac{18}{3}*\frac{2}{1} *\frac{2}{1}[/tex]

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

Combine into single fraction :

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

[tex]Volume=\frac{24}{1}[/tex]

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

Simplify:

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

[tex]Volume=24[/tex]

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

Answer: Volume = 24 cm³ (Answer B)

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

Answer: (-7, -3)

Step-by-step explanation: Reflection across y axis changes the sign of the x coordinate only

Answer: The mean of Mike's scores is less than the mean of Tim's scores- True   The range of Mike's scores is less than the range of Tim's scores- False  The median of Mike's scores is less than the median of Tim's scores-  True

Step-by-step explanation:

Answer:

y = (x-5)² - 3

Step-by-step explanation:

Given:

[tex]\displaystyle \large{f(x)=(x-1)^2+2}[/tex]

Transformation:

[tex]\displaystyle \large{f(x-a)}[/tex] is translation of a units to the right

[tex]\displaystyle \large{f(x)-b}[/tex] is translation of b units down.

Therefore:

[tex]\displaystyle \large{g(x)=f(x-4)-5}[/tex] is our new equation or transformation:

[tex]\displaystyle \large{g(x)=[(x-4)-1]^2+2-5}\\\displaystyle \large{g(x) = [x-4-1]^2-3}\\\displaystyle \large{g(x)=(x-5)^2-3}[/tex]

Therefore, the new equation is y = (x-5)² - 3

[tex]\dfrac{276.5}{7.9}\\\\\\=\dfrac{276.5 \times 10}{7.9 \times 10}\\\\\\=\dfrac{2765}{79}\\\\\\=\dfrac{79 \times 35}{79}\\\\\\=35[/tex]

A function that represents the number of minutes it takes to deliver x newspapers is y = 12 + 2x/3.

The function that represents the number of minutes it takes to deliver x newspapers is: total minutes = time it takes to orgainse the newspapers + time it takes to deliver x newspapers

Time it takes to orgainse the newspapers = 12 minutes

Time it takes to deliver x newspapers = 2x / 3

y = 12 + 2x/3

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Step-by-step explanation:

Sum of interior angles of a polygon

180°(n−2)

When n=10,

Sum of interior angles of a polygon

180°(n−2)

=180°(10−2)

=1440°

Therefore, Each interior angle of a regular heptagon measures 1440/10=144°

Sum of interior angles of a polygon

180°(n−2)

When n=7,

Sum of interior angles of a polygon

180°(n−2)

=180°(7−2)

=900°

Therefore, Each interior angle of a regular heptagon measures 900/7=128.6°

Answer:

[tex]m\angle FGC =101\degree [/tex]

Step-by-step explanation:

[tex]m\angle CBF = 46\degree[/tex] (Given)

[tex]m\angle FIG = 55\degree[/tex] (Given)

[tex]m\angle IFG = m\angle CBF[/tex] (Corresponding angles)

[tex]\implies m\angle IFG = 46\degree[/tex]

[tex]m\angle FGC =m\angle IFG+ m\angle FIG[/tex]

(By exterior angle theorem)

[tex]m\angle FGC =46\degree+ 55\degree [/tex]

[tex]m\angle FGC =101\degree[/tex]

Here

Using the formula

sum of interiors=external

Answer:

24

Step-by-step explanation:

72=2*2*2*3*3

96=2*2*2*2*2*3

Hcf=2*2*2*3=24#

Answer:

  (b) 7.28 cis(105.945°)

Step-by-step explanation:

The trig form of a vector is always ...

  magnitude(cos(angle)·i +sin(angle)·j)

Sometimes, that is abbreviated ...

  magnitude cis(angle)  or  magnitude∠angle

where the "angle" is measured counterclockwise from the +x axis.

__

The forms showin in choices C and D can be rejected immediately because the sine and cosine coefficients are incorrectly placed. To differentiate between choices A and B, you need to know whether the angle is greater than 90°. The terminal point is above and left of the initial point, so the angle must be more than 90°. (It can help to plot the points on a graph.)

  u = 7.28(cos 105.945°i + sin 105.945°j)

Answer:

The question you are asking is a bit unclear but I might be able to offer some insight.

2(l + w) is sometimes used as the formula for the perimeter of a rectangle.

If l represents the length and w represents the width, then the perimeter (sum of the sides) is l + w + l + w.

This simplifies algebraically as 2l + 2w and can be factored into 2(l + w).  

So, to find the perimeter of the rectangle you must double the sum of the length and width.

Not sure if I helped, but finger crossed!!  :)

Step-by-step explanation:

The required area of a sector with an arc of 40 cm and a radius of 12 cm is given as 240 cm².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
Sectoral area = arc / 2 × radius
Sectoral area = 40 / 2 × 12

                    = 20 × 12 = 240 cm²

Thus, the required area of a sector with an arc of 40 cm and a radius of 12 cm is given as 240 cm².

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Answer:

the answer is y=4

Step-by-step explanation:

the left drawing is a law , and is always true . and on the right side i showed you how i got to the answer.

Answer:

Number 1 4,100$

Number 2 D. The market value of new factories built this year.

Step-by-step explanation:

The volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches

The formula for calculating the volume of cylinder is expressed as:

V = πr²h

where

r is the radius

h isthe height

Given the following parameters

h = 15in

r = 6in

substitute

V =  6^2 * 15π
V  = 540 π cubic inches

Hence the volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches

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Answer:

b

Step-by-step explanation:

Answer:

n = the number of necklaces Natasha sells

Answer:

13/50 or 26%

Step-by-step explanation:

there are 13 blue cards out of 50 so 13/50 or 26%

Answer:

7

Step-by-step explanation:

V = base x height

base = 5 x 6

5 x 6 = 30

V = 210

H = V/Base

H = 210/30

210/30 = 7

H = 7

Answer:

140

Step-by-step explanation:

Its in a answer key pdf

Answer:

Step-by-step explanation:

A bearing is measured clockwise from north. To do this measurement, we need to extend the line beteen A and B and extend the North-pointing line so they cross.* A protractor or other measuring tool is then used to measure the angle between the lines.

__

In the attached, we have found the angle between these lines to be about 29°. This is the angle between north and B, as seen from A.

  29° = bearing of B from A

__

As seen from B, the angle is 180° more than the one of B from A. The bearing of A from B is ...

  180° +29° = 209° . . . . . bearing of A from B

_____

* The angle measurement can be made between any set of lines that are coincident with or parallel to the north line and the line between A and B. In the attached, we attempted to maximize accuracy by using the lines on the figure, rather than creating parallel lines for the purpose of the measurement.

On a figure such as this, it is very difficult to get accuracy to even 0.1 degrees. For example, the geometry program that we used says the slope of the AB line is tangent(60.58°), so the bearing using that information is about 29.42°, not the 29.29° the same program reports as the measurement of the angle.

We don't have access to your original figure, and we can't account for any distortions that may have occurred in the copying and pasting of the image. Straight dilation will not change the angle, but most image reproduction processes have different scale factors in different directions, which will affect the angle measurement. YMMV