There are 6 red marbles, 7 green marbles 5 orange marbles and 9 pink marbles what is the probability of getting a red and green marble without putting it back.

Answer:

See Below

Step-by-step explanation:

[tex]m \angle \: 1 = m \angle \: 4 \: \: \: (1) \\ (vertical \: angles) \\ \\ m \angle \: 7 = m \angle \: 6 \: \: \: (2) \\ (vertical \: angles) \\ \\ m \angle \: 4 + m \angle \: 6 = 180 \degree \: \: \: (3) \\ (Interior\:angles \: on \: same \: side \: of \: transversal) \\ \\ from \: equations \: (1),\: (2) \: and \: (3) \\ \\ \red { \boxed{ \bold{m \angle \: 1 + m \angle \: 7 = 180 \degree}}} \\ \\ thus \: proved[/tex]

Refractive index is the ratio of sin(i) to sin (r). Medium 2 is sodium chloride with a refractive index of 1.54.

A material's refractive index (sometimes called refraction index or index of refraction) is a dimensionless quantity that specifies how quickly light passes through it.

As we know that the Refractive index is the ratio of sin(i) to sin (r), and it can be represented as,

[tex]\rm Refractive\ Index = \dfrac{Sin(i)}{Sin(r)}[/tex]

where

i is the incident angle and

r is the refraction angle.

Now, the refractive index can be written as for the given medium can be written as,

[tex]\rm Refractive\ Index = \dfrac{Sin(i)}{Sin(r)}\\\\[/tex]

[tex]\rm Refractive\ Index = \dfrac{Sin(79.5)}{Sin(39.6)}=1.542[/tex]

Now, if we take the ratio of the refractive index of the two mediums, then

[tex]\rm 1.542 = \dfrac{n}{1.0003}\\\\n = 1.542 \times 1.0003\\\\n= 1.5425\ \approx 1.54[/tex]

Hence, Medium 2 is sodium chloride with a refractive index of 1.54.

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Answer:

What is medium 1?

air

What is medium 2?

lucite

Step-by-step explanation:

The probability that you land exactly one shot in each of the three rings is 0.122

The probability of hitting each section will be the quotient between the area of the section and the total area of the target.

The area of the target is:

A = 3.14*(12 in)^2 = 452.16 in^2

The area for the smallest circle is:

A₁ = 3.14*(4 in)^2 = 50.24 in^2

So the probability of hitting the smallest circle is:

p₁ = A₁/A = (50.24/452.16) = 0.11

For the first ring, the area is:

A₂ = 3.14*(8in)^2 -  50.24 in^2 = 150.72 in^2

So the probability of hitting this ring is:

p₂  = (150.72)/(452.16) = 0.33

The probability of hitting the final ring is 1 minus the probabilities of hitting the two other regions, so we have:

p₃ = 1 - 0.11 - 0.33 = 0.56

The joint probability of hitting one arrow in each region, is given by the product between the individual probabilities for each region times the permutations (the permutations for 3 arrows are 3! = 3*2*1  = 6)

So the probability is:

P = 0.11*0.33*0.56*6 = 0.122

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      First, we can see that this is a reduction because ΔXYZ is larger than its dilation, ΔX'Y'Z'.

But by how much? We can compare two sides such as XY and X'Y' to see.

      -> I am going to compare sides XY and X'Y' because they are fully vertical lines that we can count without needing to use a distance formula.

             -> XY is 8 units long

             -> X'Y' is 4 units long

      -> 8 / 4 is a scale factor of 2

This is a reduction with a scale factor of 2.

The required number line that shows all of the possible

temperatures is option A.

From the given question, we have that water freezes when its temperature is no more than 32 °F

The statement no more than 32 °F shows that the temperature cannot be greater than 32 but less than or equal to 32. This is written mathematically as;

t ≤ 32.

We are to select the number line that shows all of the possible temperatures. The required number line that shows all of the possible

temperatures is option A.

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Answer:

That’s her nephew!

He could also be the father.

Step-by-step explanation:

1. cross multiply

3/1 = m/5

15 = m

m = 15

4

Step-by-step explanation:

4 because it sounds close to me

Answer:

Less than 5

Step-by-step explanation:

The eason behind the answer being less than 5 is because if you multiply something by a fraction that is less than a whole number, then you will get less than the original number you multiplied the fraction with.

Hope this helps :)

Answer:

(1.75)(1.75)

Step-by-step explanation:

[tex](1.75)^{2} =(1.75)(1.75)[/tex]

Hope this helps

A square prism has the same the base area and volume as the square pyramid is 4 units.

The volume of a square pyramid is,

[tex]a^{2} *h/3[/tex]

[tex]256=a^{2} *12/3[/tex]

[tex]256=4 a^{2}[/tex]

[tex]256/4=a^{2}[/tex]

[tex]64=a^{2}[/tex]

[tex]a=8[/tex]

Now we know that the square is 8 by 8.

A square pyramid has a height of 12 units and a volume of [tex]256 units^3[/tex]

The volume of a square prism is a²h

[tex]V=a^{2} h[/tex]

[tex]256=64h[/tex]

[tex]256/64=h[/tex]

[tex]h=4[/tex]

The height is 4 unit

Also, a square pyramid is 1/3 the volume of a square prism.

[tex]\frac{12}{3}=4[/tex]

Therefore,we get a square prism has the same the base area and volume as the square pyramid is 4 units.

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Answer:

4 units

Step-by-step explanation:

I got it right on the test :)

Answer:

[tex]\sqrt{145}[/tex]

Step-by-step explanation:

The distance formula states that the distance between two points [tex](a,b)[/tex] and [tex](c,d)[/tex] is [tex]\sqrt{(a-c)^2+(b-d)^2}[/tex].

The two points we have are [tex](4,6)[/tex] and [tex](-4,-3)[/tex]. Plugging these numbers into the distance formula, we have

[tex]\sqrt{(4-(-4))^2+(6-(-3))^2[/tex].

Simplifying with order of operations, first using the distributive property, gives

[tex]\sqrt{(4+4)^2+(6+3)^2[/tex].

Squaring and adding gives

[tex]\sqrt{(4+4)^2+(6+3)^2}=\sqrt{8^2+9^2}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{64+81}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\boxed{\sqrt{145}},[/tex]

which is the answer in simplest form. This also rounds to about 12.04.

Answer:

26

Step-by-step explanation:

SORRY IF IM WRONG

Answer:

180°

Step-by-step explanation:

the angles in a triangle add up to 180°

Answer:

you are crazy

Step-by-step explanation:

that is a whole assignment

Answer:

243

Step-by-step explanation:

(3^5 – 3^4) (3^3 + 3^2)

= (243 – 81) (27 + 9)

= (162) (36)

= 5832

24 = 8*3

because 832 can be divided by 8 and 5+8+3+2 = 18 is divisible by 3,

5832 is divisible by 24

Answer:

Given

no of Grade 6 students = 220

no of Grade 7 students = 40 more than grade 6 students

Step-by-step explanation:

boys Grade 7 students = no of Grade 6 students - 40 more than grade 6 students

boys Grade 7 students = 220 - 40

boys Grade 7 students = 180 grade 7 boy students are enrolled

Therefore, 180 grade 7 boy students are enrolled.

Answer:    26

Step-by-step explanation:

I would say 26 because you multiplying 3 and 4 and then add whatever number you get for 8 and 5.

Answer:

Systems with infinitely many solutions are equations that are the same (on top of one another)

Ex:

4x=4 and 2x=2

4x=0, 5x=0

Answer:

Step-by-step explanation:

One

√15 / ∛15 = 15^(1/2 - 1/3) = 15^(1/6)

When you divide numbers that are the same base but different powers, the following rule applies

base^(numerator power - denominator power)

Two

15^(1/2 + 1/4)

15^(3/4)

When you multiply 2 numbers with the same base and different powers you raise the base by the sum of the powers.

The equations that represent an indirect variation relationship with a constant of variation equal to -4 are y = -4/x and xy = -4

An indirect variation is also known as the inverse variation

If the variable y is indirectly proportional to x , this is expressed as:

y = k/x

where

k is the variation constant

If the variation constant is -4, then;

y = -4/x

Hence the equations that represent an indirect variation relationship with a constant of variation equal to -4 are y = -4/x and xy = -4

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The probability that it lands on an even number or a number greater than 6 are 1/2 and 1/4 respectively

Data;

The probability of an event occurring is the ratio between number of possible outcomes to the total number of sample space.

a)

The probability of having an even number is

[tex]P = \frac{4}{8} = \frac{1}{2}[/tex]

b)

The probability of having a number greater than 6 is

[tex]P = \frac{2}{8} = \frac{1}{4}[/tex]

The probability that it lands on an even number or a number greater than 6 are 1/2 and 1/4 respectively

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Answer:

Area = 2.28 sq km

Perimeter = 13.7 km

Step-by-step explanation:

[tex]A(\triangle)=\frac{1}{2}(1.2)(3.8)[/tex]

[tex]\implies A(\triangle)=(1.2)(1.9)[/tex]

[tex]\implies \boxed{\red{\bold{A(\triangle)=2.28\:km^2}}}[/tex]

[tex]P(\triangle)=7+1.2+5.5[/tex]

[tex]\implies \boxed{\purple{\bold{P(\triangle)=13.7\: km}}}[/tex]

Answer:

sorry there's no explanation IN this question

Answer:

Inconclusive.

Step-by-step explanation:

This equation is not understandable due to the lack of clarity, thank you.

The actual distance between Kalamazoo and Ann Arbor is approximately 62.5 miles.

The real distance is the producto of the scale factor and the in-scale distance. According to the figure, the scale factor is 50 miles per centimeters and the in-scale distance is approximately 1.25 centimeters. Then, the real distance between Kalamazoo and Ann Arbor is:

[tex]d \approx \left(50\,\frac{mi}{cm} \right)\cdot (1.25\,cm)[/tex]

[tex]d \approx 62.5\,mi[/tex]

The actual distance between Kalamazoo and Ann Arbor is approximately 62.5 miles. [tex]\blacksquare[/tex]

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Answer:

the second one

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

The percentage of the payments made were due to interest is 32.6 %. Then the correct option is B.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

The following table shows a portion of a five-year amortization schedule.

A 5-year amortization schedule.

Loan amount or principal: 10,900 dollars.

The interest rate on loan: 10. 95 percent.

The table will be

Month         Payment         Principal         Interest         Balance

  15               236.72            155.87            80.85           8704.27

  16               236.72            157.29            79.43           8546.98

  17               236.72            158.73            77.99            8388.25

  18               236.72            160.18            76.54            8228.07

  19               236.72            161.64            75.08            80.66.43

  20              236.72            163.11             73.61             7903.32

Total payment = 6 × 236.72 = $ 1420.32

Total interest = 80.85 + 79.43 + 77.99 + 76.56 + 75.08 + 73.61

Total interest = $ 463.38

Then the percentage will be

[tex]\rm Percentage = \dfrac{463.38}{1420.32}*100\\\\Percentage = 32.625 \approx 32.6\ \%[/tex]

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