Carl is going to select 1 marble, without looking, from the bag.
What color will Carl MOST likely select?
blue
green
Blue
Green
Red
Yellow

Answer:

4C2 * 6C2 * 5C2

Step-by-step explanation:

White balls = 4

Yellow balls = 6

Red balls = 5

In other to select a total of 6 balls, of which there must be 2 balls each of color white, yellow and red :

That means :

2 red balls from 5 red balls = 5C2

2 balls for 6 yellow balls = 6C2

2 balls from 4 white balls = 4C2

To obtain the number of possible combinations, take the product of the three combinations :

4C2 * 6C2 * 5C2

If bag contains 4 white balls, 6 yellow balls, and 5 red balls then  6 balls can be chosen if there must be 2 balls of each color in 900 ways

permutation is way of selecting and arranging things while combination is way of selecting things .

Given that  bag contains 4 white balls, 6 yellow balls, and 5 red balls

we have to select 6 balls

it's given that there must be 2 balls of each color

So here's how we can select them

2 white balls ,2 yellow balls and 2 red balls

So we have to select 2 white balls out of 4  white balls ,2 yellow balls out of 6 yellow balls and 2 red balls out of 5 red balls

so number of ways of selecting

\({4 \choose 2} \times {6 \choose 2}\times {5 \choose 2}\)

\(=6\times15\times10\\\\=900\)

If bag contains 4 white balls, 6 yellow balls, and 5 red balls then  6 balls can be chosen if there must be 2 balls of each color in 900 ways

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Answer:

I believe… ( it might be wrong… )

Reflect across the line y = x.

translate 1 unit right.

Step-by-step explanation:

i took the same test before but i believe i had a question just like this and got it right soooo….. ye

This question is about ratios. Initially, 8 people have enough water for 9 days. When 4 more people join, the water supply will now last for 6 days.

This question involves a concept of Mathematics, specifically in the area of ratios or proportions. The initial premise is that 8 people on a trek have enough water to last them for 9 days. We can express this ratio as 8:9, which means for every 8 persons, the group can sustain its water supply for 9 days.

Now, we must calculate what would happen if 4 more people join the trek. Since now there are 12 people (8 original + 4 new), the new ratio becomes 12:9. However, the amount of water remains fixed. We can find the number of days the water will now last by dividing the quantity of water by the increased number of people, i.e., 9 days * (8 people/12 people) = 6 days.

So, when 4 more people join the group, the water supply will last the whole group for 6 days.

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Answer:

44/3 degrees

Step-by-step explanation:

Angle CBD = 180 - (64 + 72) = 44

Angle ADB = 44/3 (Since of the ratio)

The lower temperature is 200∘C for (a) and 353∘F for (b). In order to determine the lower temperature between two measurements given in different temperature scales, we need to convert them to a common scale.

The common scale we can use is the Kelvin scale, as it is an absolute temperature scale.

(a) To compare 273∘C and 273∘F, we need to convert them to Kelvin. The conversion formula for Celsius to Kelvin is K = C + 273.15, and for Fahrenheit to Kelvin, K = (F - 32) × 5/9 + 273.15.

- For 273∘C, we have K = 273 + 273.15 = 546.15K.

- For 273∘F, we have K = (273 - 32) × 5/9 + 273.15 ≈ 523.15K.

Since 523.15K is lower than 546.15K, the lower temperature is 273∘F.

(b) To compare 200∘C and 353∘F:

- For 200∘C, we have K = 200 + 273.15 = 473.15K.

- For 353∘F, we have K = (353 - 32) × 5/9 + 273.15 ≈ 423.15K.

Since 423.15K is lower than 473.15K, the lower temperature is 353∘F.

In summary, the lower temperature is 200∘C for (a) and 353∘F for (b).

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Answer:

Y=2x+2

Step-by-step explanation:

Im not 100% sure this is correct but what I did was

Y=2(x-1)^2+6

2(x-1) = 2x -2

Y=2x -2^2 +6

Y=2x -4 + 6

-4 + 6 = 2

So y=2x+2 (y=mx+b)

I hope this helps you

Answer:

  Miguel, because Andy is incorrect.

Step-by-step explanation:

The Angle Sum Theorem tells you the sum of angles in a triangle is 180°. If two of the angles are 45°, the third must be 180° -45° -45° = 90°. The third angle cannot be less than 90°.

__

Miguel is correct to disagree with Andy.

Answer:

15 and 4 1/4 pounds of meat to the female tiger

Step-by-step explanation:

The equation be |2x-3| = 7 then the set of values is the solution set be (2, -5).

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. When two expressions are joined by an equal sign, a mathematical statement is called an equation.

In mathematics, to solve an equation is to identify its solutions, which are the values (numbers, functions, sets, etc.) that satisfy the requirement expressed by the equation. An equation typically consists of two expressions connected by an equals sign. A variable or variables are labeled as unknowns when looking for a solution.

Any combination of a number, a variable, and operation symbols is considered an expression. Two expressions are combined to form an equation, which is joined by the equal sign.

Let the equation be |2x-3| = 7

We know that if \($|a|=b, a=\pm b$\).

Since we do not know if 2x - 3 exists positive or negative, we will need a \($\pm$\) on the 7 :

\($|2 x-3|=7 \Rightarrow 2 x-3=\pm 7$$\)

Add 3 to both sides, and finally divide by 2, we get

\($$\begin{aligned}& 2 x=3 \pm 7 \\& x=\frac{3}{2} \pm \frac{7}{2}\end{aligned}$$\)

So x exists equal to either 10/2 = 5 or -4/2 = -2.

Therefore, the correct answer is option b) (2, -5).

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The value of  ∂z/∂y. e2z = xyz using implicit differentiation ∂z/∂y = xz / [6e6z - xy].

You should be aware that implicit differentiation allows you to find the derivative of y with respect to x without having to solve the given equation for y.

The given expression is  e6z = xyz

To find ∂z/∂x → consider z as a function of x and take y to be a constant

By differentiating with respect to x, we get

e6z × 6 × ∂z/∂x = z × y + xy × 1 × ∂z/∂x

Using the chain rule on the LHS and the product rule on the RHS]

Factor out the ∂z/∂x: ∂z/∂x [6e6z - xy] = yz

∂z/∂x = yz / [6e6z - xy]

By doing the same thing to find ∂z/∂y except consider z to be a function of y and take x to be a constant

Differentiating with respect to y:

e6z × 6 × ∂z/∂y = z × x + xy × 1 × ∂z/∂y

∂z/∂y [6e6z - xy] = xz

∂z/∂y = xz / [6e6z - xy]

Therefore, ∂z/∂x = yz / [6e6z - xy] and ∂z/∂y = xz / [6e6z - xy]

Use implicit differentiation to find ∂z/∂x and ∂z/∂y. e6z = xyz

Using implicit differentiation to find ∂z/∂x and ∂z/∂y. e6z = xyz, we got ∂z/∂x = yz / [6e6z - xy] and ∂z/∂y = xz / [6e6z - xy].

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Answer:

yes, it is because y x 1 = y

Answer:

yes

Step-by-step explanation:

We can prove:

\((y\times 1) + 2 = y + 2\)

using the Multiplicative Identity Property of One, which states that anything multiplied by 1 is itself, so \(y \times 1 = y\). Therefore we can rewrite the equation (identity) as:

\(y + 2 = y + 2\)

X°5

Step-by-step explanation:

convert 32 1/4 into an improper fraction

The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

<95141404393>

Answer:

its 0

Step-by-step explanation:

6 squared plus 2 squared = 40 40/4=10 10-10=0

Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

(sec(A) + tan(A)) (1 - sin(A)) = cos(A)

Write secant as 1/cosine and tangent as sine/cosine:

(1 - sin(A)) (1/cos(A) + sin(A)/cos(A)) = ^?cos(A)

Put 1/cos(A) + sin(A)/cos(A) over the common denominator cos(A): 1/cos(A) + sin(A)/cos(A) = (sin(A) + 1)/cos(A):

(sin(A) + 1)/cos(A) (1 - sin(A)) = ^?cos(A)

Multiply both sides by cos(A):

(1 - sin(A)) (sin(A) + 1) = ^?cos(A)^2

(1 - sin(A)) (sin(A) + 1) = 1 - sin(A)^2:

1 - sin(A)^2 = ^?cos(A)^2

cos(A)^2 = 1 - sin(A)^2:

1 - sin(A)^2 = ^?1 - sin(A)^2

The left hand side and right hand side are identical:

Answer: (identity has been verified)

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           Hi my lil bunny!

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Let's do this step by step.

Prove that sec A ( 1 - sin A) ( sec A + tan A) = 1

Solving L.H.S

sec A ( 1 - sin A) ( sec A + tan A)

\(= \frac{1}{cos A} ( 1 - sin A ) ( \frac{1}{cos A} + \frac{sin A }{cos A})\)

\(= \frac{(1 - sin A)}{cos A} ( \frac{1 + sin A }{cos A })\)\(= \frac{( 1 - sin A)( 1 + sin A)}{cos A X cos A}\)

We know that \(( a - b) ( a + b) = a^2 - b^2\)

\(= \frac{( 1^2 - sin^2 A)}{cos^2 A}\)

\(= \frac{( 1 - sin^2 A)}{cos^2 A}\)

\(= \frac{cos^2 A}{cos^2 A}\)                         \(| cos^2 A + sin^2 A = 1 | cos^2 A = 1 - sin^2 A |\)\(1 - sin^2 A = cos^2 A\)

\(= 1\)

\(= R . H. S\)

Thus, L.H.S = R.H.S

Hence proved.

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

The depth of seawater above the window is 1066.67 feet.

Given data: The weight-density of seawater is 64lb/ft3.

The fluid force against the window is Ib.Solution:We know that force = pressure × areaLet's find the pressure on the window.Pressure = weight-density × depth,Pressure of seawater = 64 lb/ft3.

Weight-density of seawater is the force exerted by the water on the window, which is given as Ib.Now, we know that 1 pound-force is exerted by a mass of 32.174 lb due to gravity.

Therefore, force exerted on the window isIb of force = Ib ÷ 32.174 pound-forceWeight-density = pressure × depthIb/32.174 = 64 lb/ft3 × depthDepth = (Ib/32.174) ÷ 64 ft3lb/ft3 = 0.005 lb/in3.

Therefore, the depth of seawater in inches isDepth in inches = 64 ÷ 0.005Depth in inches = 12800 inches = 1066.67 ft.

Therefore, depth of seawater in feet is 1066.67 ft.Main answer:The depth of seawater above the window is 1066.67 feet.

The depth of seawater above the window is 1066.67 feet.

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Answer:

Step-by-step explanation:

width:length =1:3

width:15=1:3

width =5

The width of the actual car is 45 feet.

Given that,

A automobile model is 3 feet long and 1 foot wide. Considering that the automobile is 15 feet long

To find : The width of the actual car

Model Car's Width (W) = 1 foot

Model Car's Length (L) = 3 feet

Actual Car's Length (l) = 15 feet

Actual Car's Width (w) = x feet

To solve,

We know that,

Product of Means = Product of Extremes which means ,

1 : 3 :: 15 : x

1 * x = 15 *3

x = 45.

Therefore, the Actual Car's Width (w) is 45 feet.

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The  value of angle B is determined as 42 degrees.

The value of angle B is calculated by applying Sine rule as shown below;

Sin C / length C = Sin B / length B

From the given triangle,

C = 75 degrees

B = ?

length opposite angle C = 13 yd

Length opposite angle B = 9 yd

The  value of angle B is calculated as follows;

Sin B / 9 = Sin 75 / 13

13 sin B / 9 = Sin 75

13 sin B = 9 sin 75

sin B = 9/13 x sin 75

Sin B = 0.6687

B = arc sin (0.6687)

B = 42⁰

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the value of the given function f(g(1)) is 2 , fog is an even function

A function f is even if the equation f(x)=f(x) f (x) = f ( x) holds for every x and x in the domain of f. An even function has a graph that is geometrically symmetric with respect to the y-axis, which means that even after reflection about the y-axis, the graph does not change.

f is even (given)

∴f(−x)=f(x)

g is odd (given)

∴g(−x)=−g(x)

So,

According to question,

fog=f[g(x)]=f(y)             Let [g(x)]=y

and also,

fog=f[g(−x)]        ∵g(x) is odd

       =f[−g(x)]

       =f(−y)

       =f(y)

⇒fog(x)=fog(−x)

∴fog is an even function

f(g(1)) = f(g(1)) = f(3) = 2

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Answer:

30

Step-by-step explanation:

Answer: 25

Step-by-step explanation:

13 17 20 21 22  25 30 34 37

The approximate distribution (give distribution name and parameters) of the total length will be =  450 minutes

The estimated distribution of the total length of Tina's simulation study is a triangular distribution with a base worth of 2 minutes, a greatest worth of 4 minutes, and a mode (most reasonable worth) of (2+4)/2 = 3 minutes.

Since the simulation time is generally consistently distributed somewhere in the range of 2 and 4 minutes, the total simulation time will be the sum of 150 free random variables each with a triangular distribution.

Hence, the total simulation time will also have a triangular distribution with a base worth of 2 minutes x 150 = 300 minutes, a greatest worth of 4 minutes x 150 = 600 minutes, and a method of (300+600)/2 = 450 minutes.

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The complete question is:

Tina is running a simulation study on her laptop. The duration of each simulation is roughly uniformly distributed between 2 and 4 minutes. She needs to run 150 simulations and she runs all her simulations back-to-back. - What is the approximate distribution (give distribution name and parameters) of the total length of Tina's simulation study? Explain your answer

Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.

To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.

Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.

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1. (bh)/2 or (4 x 3)/2 = 6

2. (8 x 12)/2 = 48

3. (11.25 x 15.6)/2 = 87.75

4. (9 x 10)/2 = 45

A function f such that f '(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f is f(x) = 3x^4/4 + 729/4.

In the given question, we have to find a function f such that f'(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f.

The given function is f'(x) = 3x^3.

No integrating on both side,

f(x) = \(\int3x^3dx\) + C

f(x) = 3x^4/4 + C

As given, the line 81x + y = 0 is tangent to the graph of f.

So, slope at point of tangent; f'(x) = -81

So, 3x^3 = -81

Divide by 3 on both side, we get

x^3 = -27

Taking cube root on both side, we get

x = -3

So putting the value of x in 81x + y = 0, we get

y = 243

Thus, f(x) passes through (-3, 243).

So, 243 = 3/4(81) + C

Multiply by 4 on both side, we get

972 = 243 + 4C

Subtract 243 on both side, we get

4C = 729

Divide by 4 on both side, we get

C = 729/4

So, f(x) = 3x^4/4 + 729/4

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Amount of pretzel each person receives is 17/16 lb.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Total weight of the bag of pretzels = 34 ounce

Elisa shares this among her two sisters equally.

Share of pretzels each sister gets = 34 / 2 = 17 ounces

We need this amount in pounds.

We know that,

16 ounce = 1 lb.

17 ounces = 17/16 lb.

Hence the amount of pretzels each get is  17/16 lb.

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