A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red, white and orange and equal proportion of each candy is present in the standard bag. The manager wants to know whether the bags produced last Monday were similar to the standard bag. To test this, they plan to choose a random bag from the batch and compare it with the standard bag. You will have to answer questions below to assist the manager in comparing the two bags. Based on the data provided above how many degrees of freedom will you have while performing the necessary test of comparison

Answer:

25

Step-by-step explanation:

c-a=b

30-16=b

900-256=644

square root=25

Given:

A figure of a parallelogram.

The vertex angles are [tex](12b+8)^\circ,(5b+2)^\circ,2a^\circ[/tex].

To find:

The values of a and b.

Solution:

We know that the pairs of consecutive angles of a parallelogram are supplementary angles. It mean their sum is 180 degrees.

[tex](12b+8)^\circ+(5b+2)^\circ=180^\circ[/tex]       (Supplementary angles)

[tex](17b+10)^\circ=180^\circ[/tex]

[tex]17b+10=180[/tex]

Subtract 10 from both sides.

[tex]17b=180-10[/tex]

[tex]17b=170[/tex]

Divide both sides by 17.

[tex]b=\dfrac{170}{17}[/tex]

[tex]b=10[/tex]

Now,

[tex](5b+2)^\circ=(5(10)+2)^\circ[/tex]

[tex](5b+2)^\circ=(50+2)^\circ[/tex]

[tex](5b+2)^\circ=52^\circ[/tex]

And,

[tex](5b+2)^\circ+2a^\circ=180^\circ[/tex]       (Supplementary angles)

[tex]52^\circ+2a^\circ=180^\circ[/tex]

[tex]2a^\circ=180^\circ-52^\circ[/tex]

[tex]2a^\circ=128^\circ[/tex]

Divide both sides by 2.

[tex]a^\circ=\dfrac{128^\circ}{2}[/tex]

[tex]a^\circ=64^\circ[/tex]

[tex]a=64[/tex]

Therefore, the value of a is 64 and the value of b is 10.

Answer:

20

Step-by-step explanation:

225-80=145

145-125=20

Answer:

210

Step-by-step explanation:

Answer:

217

Step-by-step explanation:

5³ − (64/8) + 10²=125-8+100=217

Answer:

Length of rectangle = 16 cm

Width of rectangle = 4 cm

Step-by-step explanation:

Given:

Area of rectangle = 64 cm²

Find:

Length and width

Computation:

Assume;

Length of rectangle = a

So,

Width of rectangle = a -12

Area of rectangle = l x b

So,

a(a-12) = 64

a² - 12a - 64 = 0

a² - (16-4)a - 64 = 0

a² - 16a+ 4a - 64 = 0

a (a-16) + 4(a-16)= 0

(a-16)(a+4) = 0

a= 16 , a = -4

So,

Length of rectangle = 16 cm

Width of rectangle = a -12

Width of rectangle = 16 -12

Width of rectangle = 4 cm

No solution

because delta ( b^2 - 4ac ) is lower than 0(zero) .

Answer:

Step-by-step explanation:

Multiple the numbers one by one and the answers you’ll get u can choose to divide multiple plus or minus and u will get the answer

Answer:

9x + 72

Step-by-step explanation:

Answer:

9x + 8

Step-by-step explanation:

Hope this helps have a nice day :)

*You don't have to read this part*

Parentheses can be removed by multiplying the outside factor to each term inside the parentheses using distributive property.

Answer:

32.18%

Step-by-step explanation:

Just took the test

The final answer is: 32.18%

Got it right when I did it! :)

Answer:

Hi! The answer to your question is 138

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

( 0 , 0 )

Step-by-step explanation:

Step-by-step explanation:

its 4

Answer:

the slope would be rise over run

it is shown in the graph it rise 3units and run 2units therefore it's 3/2

Answer:

x = -7

Step-by-step explanation:

All triangle angles add up to 180

84 + x + 59 + x + 51 = 180

2x + 194 = 180

2x = 180 - 194

2x = -14

x = -7

Answer:

1.) y3

Step-by-step explanation:

Answer:

a) 0

Step-by-step explanation:

the equation of the slope (m) for a line from two points is given as (y2-y1)/(x2-x1)

we are given the points (3,-2) and (9,-2)

we can label the points:

x1=3

y1=-2

x2=9

y2=-2

now substitute into the equation:

m=(-2--2)/(9-3)

simplify

m=(-2+2)/6

m=0/6

m=0

the slope of the line is 0, which is option a

Hope this helps!

Answer:

Answer: A. G(x)= ax=y= - f(x) is flip over x-axis. Therefore, f(x) =14x would become f(x) =-14x. Therefore, final transformed function f(x)=-14x is vertically stretch by a factor of 14 and flip over the x-axis.

Step-by-step explanation:

Anse

draw the line down the equal sign

Step-by-step explanation:

Answer:

Step-by-step explanation:

add 9 to both and then cancel out both 9s and add 3 and 9 together

Answer:

80

Step-by-step explanation:

Area of latera = 3 bh = 10X3 +10x2.5 +2.5x10 = 30+25+25 = 80

b/c the 2 lines are equal

Answer:

2x-3=13

2x=13+3

2x=16

2x/2=16/2

x=8

Answer:

first number is 8

second number is 5

Step-by-step explanation:

Answer:

D.)

2/3 1/6 1/7

Step-by-step explanation:

Given the fractions :

A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7

We need ot Obtian the set of fractions whose L. C. M of denominator multiplied by the numerator gives an of 84 for all its values.

A.)

L. C. M of 14, 42 and 6 = 42

42 * 3 = 126 ( not true)

B.)

L. C. M of 84, 16, 42 = 336

Can't be true

C.)

L. C. M of 21, 4, 3 = 84

84 * 2 = 168 (not true)

D.)

L.C.M of 3, 6, 7 = 42

Answer:

d

Step-by-step explanation:

Answer:

x=27

Step-by-step explanation:

Answer:

The answer would be 27

Step-by-step explanation:

Times three by nine to get the value of x.

Answer:

She will be needing 300 square inches of paper

length=14inches

breadth=3inches

height=6inches

TSA= 2(lb+lh+bh)

=2(14×3+14×6+3×6)

=2(42+84+24)

=2×150

=300 square inches

Answer:

69,420

Step-by-step explanation:

69,420 sq ft of decorative paper

Answer:

8/13

hope this answer helps you.....

Answer:

yes

Step-by-step explanation:

the product does not change

Answer:

yes

Step-by-step explanation:

the difference is same, since the product can't change

Answer:

B

Step-by-step explanation:

Answer:

x = 50°

y = 50°

Step-by-step explanation:

x = y because it is an isosceles triangle

2x + 80 = 180°

2x = 100°

x = 50°

y = 50°

Answer:

X = 9

Step-by-step explanation:

Answer:

X can equal 22.5

Step-by-step explanation:

I've set up the equation below:

[tex]\frac{2}{3} +\frac{5}{x} =\frac{8}{9}[/tex]

With this equation, as any addition equation goes, we assume it to be like this:

A +  B = C

so

C - A = B

that means,

[tex]\frac{8}{9} -\frac{2}{3} =\frac{5}{x}[/tex]

The easiest thing to do is to make 2/3 have the same denominator as 8/9, we do this by...

[tex]\frac{2}{3} *\frac{3}{3} = \frac{6}{9} \\[/tex]

So...

[tex]\frac{8}{9} -\frac{6}{9} =\frac{2}{9} =\frac{5}{x}[/tex]

We now know that 5 over x equals 2 over nine. We can determine x by cross multiplying as follows:

[tex]\frac{5}{x} =\frac{2}{9} \\2x = 45\\x=22.5[/tex]

So, x is 22.5, making the equation indeed solvable.

Have a nice day, fam. This problem really worked my brain! Spread The Love.