There are 20 chocolates in a box.
Some of the chocolates contain nuts and the rest do not.
The probability that a chocolate containing nuts is picked at random from the
box is 0.6
How many of the chocolates in the box contain nuts?

Answer:

Step-by-step explanation:

Use the Law of Sines here:

[tex]\frac{sin120}{8} =\frac{sinB}{3}[/tex] and cross multiply to get

8sinB = 3sin120 and solve for B:

[tex]sinB=\frac{3sin120}{8}[/tex] and

sinB = .3247595264

Now hit the 2nd button and then sin to get

[tex]sin^{-1}([/tex]      

on your display. After that open parenthesis, enter that decimal and hit enter to get that angle B = 18.95 which you can round to howeve many places you need.

Answer:

La altura del prisma es 2,4 m.

Step-by-step explanation:

Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus tres dimensiones, esto es, longitud*ancho*altura. El volumen se expresa en unidades cúbicas.

Entonces:

volumen= longitud*ancho*altura

En este caso, los datos conocidos son:

Reemplazando:

24 m³= 2,5 m* 4 m* altura

Resolviendo:

[tex]altura=\frac{24 m^{3} }{2,5 m*4m}[/tex]

[tex]altura=\frac{24 m^{3} }{10 m^{2} }[/tex]

altura= 2,4 m

La altura del prisma es 2,4 m.

Answer:

I think C is the relation between the variables.

Answer:

yes

Step-by-step explanation:

51 divided by 25

Answer:

√20

Or

2√5

Step-by-step explanation:

It is very easy just substitute

It will be:

Answer:

A

Step-by-step explanation:

Answer:

A and B, every even number is divisible by two, C is odd

Answer:

Mathew will earn $360.72 from his food

Step-by-step explanation:

We know that:

1 bushel of wheat = $5.40

And Matthew produced 66.8 bushels of heat this year

To find how much Matthew will earn from his field, multiply:

5.40 x 66.8 = 360.72

Therefore he will earn $360.72 from his field.

Hope thjs helps!

Answer:

2+2= -5

Step-by-step explanation:

i dont come up with the rules i just state the facts.

Answer:

the other number to get the quotient

Answer:

Exact Form: [tex]\frac{17}{6}[/tex]

Decimal Form: 2.83

Mixed Number Form: [tex]2 and 5/6[/tex]

Step-by-step explanation:

Answer:

[tex]1\frac{1}{10}[/tex]

Step-by-step explanation:

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

[tex]4\frac{2}{6} -2\frac{3}{6}=1\frac{5}{6}[/tex]

[tex]1\frac{5}{6} =\frac{11}{6}[/tex]

[tex]1\frac{2}{3}=\frac{5}{3}[/tex]

[tex]\frac{11}{6}[/tex] ÷ [tex]\frac{5}{3} =[/tex]

[tex]\frac{11}{6} *\frac{3}{5}=[/tex]

[tex]\frac{11}{2}*\frac{1}{5} =[/tex]

[tex]=\frac{11}{10}[/tex]

[tex]=1\frac{1}{10}[/tex]

Hope this is helpful

Answer:

[tex]Correct answer\\y=\frac{1}{2} x-4[/tex]

Step-by-step explanation:

[tex]y-\frac{-5+3}{2} =\frac{-1}{\frac{3-(-5)}{4-8} } (x-\frac{4+8}{2} )\\y+1=\frac{1}{2} (x-6)\\y=\frac{1}{2} x-4[/tex]

Answer:

24/60=6/15=2/5=48/120=16/40

Step-by-step explanation:

Now we see that,

6/15=2/__

Let us say '__' in 2/__ is 'x'

6/15=2/x

6x=15x2

6x=30

x=5

=>2/5

Similarly,

2/5=x/120

2x120=5x

240=5x

5x=240

x=240/5

x=48

=>48/120

48/120=16/x

48/16=120/x

3=120/x

x=120/3

x=40

=>16/40

Answer:

68

Step-by-step explanation:

just put the value of a and b in the expression and you will get the answer

20/a+7.b is

20/4+7×9

5+63

68

Answer:

C. 68

Step-by-step explanation:

Fill in your values.

20/ 4 + 7 x 9

Solve using PEMDAS.

5 + 7 x 9

5 + 63

68

Answer:

58.6 degrees

Step-by-step explanation:

the place value of 3 in the following is (0.3)

Answer:

The answer is "35.22".

Step-by-step explanation:

Let the given equation:

[tex]\to 130(x-38) +950 \% \times 38=0\\\\\to 130x- 4940+\frac{950}{100} \times 38=0\\\\\to 130x- 4940+9.5\times 38=0\\\\\to 130x- 4940+361=0\\\\\to 130x- 4579=0\\\\\to 130x= 4579\\\\\to x= \frac{4579}{130}\\\\\to x= 35.22[/tex]

Answer: $25

Step-by-step explanation: took the quiz

Answer:

82

Step-by-step explanation:

Answer:

82

Step-by-step explanation:

10 times 8.2 would be 82 so you just divide 82 by 10

Answer:

y = 360 (1.03)^x

Step-by-step explanation:

Amount in account = principle * (1+ rate) ^ time

When the interest is annual

rate is in decimal form and time is in years

y = 360 ( 1+.03) ^x

y = 360 (1.03)^x

Answer:

balanced

Step-by-step explanation:

The upward force is 75+ 160 =235

The downward force is 235

The force is balanced since the upward force equals the downward force

Answer:

10000 times 3 times 0.04 = 1200

Answer:

11268.25

Step-by-step explanation:

[tex]P(1+\frac{i}{n})^{n*t}=10000(1+\frac{.04}{4})^{4*3}=11268.2503[/tex]

Answer:

[tex]\displaystyle y=\frac{1}{4}x^2[/tex]

Step-by-step explanation:

Let (x, y) be a point on the parabola.

By definition, any point on the parabola is equidistant from the focus and the directrix

The distance from the focus is given by:

[tex]\begin{aligned} d&=\sqrt{(x-0)^2+(y-1)^2\\\\&=\sqrt{x^2+(y-1)^2}\end{aligned}[/tex]

The distance from the directrix is given by:

[tex]d=|y-(-1)|=|y+1|\text{ or } |-1-y|[/tex]

So:

[tex]\sqrt{x^2+(y-1)^2}=|y+1|^[/tex]

Square both sides. Since anything squared is positive, we can remove the absolute value:

[tex]x^2+(y-1)^2=(y+1)^2[/tex]

Square:

[tex]x^2+(y^2-2y+1)=y^2+2y+1[/tex]

Hence:

[tex]x^2=4y[/tex]

So, our equation is:

[tex]\displaystyle y=\frac{1}{4}x^2[/tex]

Answer:

pt A

Step-by-step explanation:

Answer:

Point A

Step-by-step explanation:

Hope this helps

2 Answers:

=====================================================

Explanation:

Let's go through the answer choices

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

A)

The lowest point is y = 1, and the highest point is y = 27. Computing the midpoint gets us (yMin+yMax)/2 = (1+27)/2 = 28/2 = 14.

The midline of [tex]h(\theta)[/tex] is y = 14.

Consider that the parent function [tex]\cos(\theta)[/tex] has a midline of y = 0. The jump from y = 0 to y = 14 must mean [tex]h(\theta)[/tex] has a vertical shift of 14.

Choice A is true

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

B)

The period is the length of the cycle. For the function [tex]h(\theta)[/tex], the function starts at [tex]\theta = 0[/tex] and repeats when it gets to [tex]\theta = \frac{\pi}{2}[/tex]. This is a difference of pi/2 units which is the period.

Choice B is false. It contradicts with choice E.

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

C)

Choice C is false. The max for [tex]h(\theta)[/tex] is at y = 27

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

D)

To figure out the amplitude, we can note the vertical distance from the midline y = 14 to the max is 27-14 = 13 units.

Or we can note the distance from the midline to the min is 14-1 = 13 units.

Or we subtract the min and max, and divide by 2:  (yMax-yMin)/2 = (27-1)/2 = 26/2 = 13

Either way, the amplitude is 13 units

Choice D is false.

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

E)

Choice E is true. Refer to choice B to see why this is the case.

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

Side note: one possible function is [tex]h(\theta) = 13\cos(4\theta+\pi) + 14[/tex]. The various pieces of that function (in)directly lead to the amplitude, period, and vertical shift.

The correct two options are h(Ф) has vertical shift of 14 and Choice E

The period of a fuction is x/2

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Let's go through the answer choices

A)

The lowest point is y = 1, and the highest point is y = 27. Computing the midpoint gets us (yMin+yMax)/2 = (1+27)/2 = 28/2 = 14.

The midline of  is y = 14.

Consider that the parent function  has a midline of y = 0. The jump from y = 0 to y = 14 must mean  has a vertical shift of 14.

Choice A is true

B)

The period is the length of the cycle. For the function , the function starts at  and repeats when it gets to . This is a difference of pi/2 units which is the period.

Choice B is false. It contradicts with choice E.

C)

Choice C is false. The max for  is at y = 27

D)

To figure out the amplitude, we can note the vertical distance from the midline y = 14 to the max is 27-14 = 13 units.

Or we can note the distance from the midline to the min is 14-1 = 13 units.

Or we subtract the min and max, and divide by 2:  (yMax-yMin)/2 = (27-1)/2 = 26/2 = 13

Either way, the amplitude is 13 units

Choice D is false.

E)

Choice E is true. Refer to choice B to see why this is the case.

Side note: one possible function is h(Ф) = 13 Cos(4Ф + π) + 14 . The various pieces of that function (in)directly lead to the amplitude, period, and vertical shift.

To know more about functions follow

https://brainly.com/question/2833285

#SPJ2

Solution :

Cost of 1 kg super tea mixture

[tex]$=\frac{1(1600)+5(800)+1(1700)}{1+5+1}$[/tex]

[tex]$=\frac{1600+4000+1700}{7}$[/tex]

[tex]$=\frac{7300}{7}$[/tex]

= 1042.8

≈ 1043

Include of cost blending and packaging.

So, cost of 1 kg is 1043 + 40 = 1083

Cost of packaging of 825 gram super tea = [tex]$\frac{825}{1000} \times 1083$[/tex]

                                                                     = 893.47

Answer:

[tex]cot\theta=-\frac{5}{12}[/tex]

Step-by-step explanation:

We are given that the point (5,-12) lies on the terminal side of an angle theta in standard position.

We have to find the exact value of [tex]cot\theta[/tex].

Let

Point (x,y)=(5,-12)

[tex]r=\sqrt{x^2+y^2}[/tex]

Substitute the values

[tex]r=\sqrt{5^2+(-12)^2}[/tex]

[tex]r=\sqrt{169}=13[/tex]

We know that

[tex]cot\theta=\frac{x}{y}[/tex]

Using values

[tex]cot\theta=-\frac{5}{12}[/tex]

Answer:

729167

Step-by-step explanation:

Now we can see that our fraction is 72.916666666667/100, which means that 35/48 as a percentage is 72.9167%.

Answer:

Step-by-step explanation:

20000000000+3000000000+900000000+60000+8000+400+7