Mathematic 19 don’t understand

The probability that both marbles are red is 2/14 or 1/7.

This is because there are only two red marbles in the box, so the probability of the first being drawn is 2/14 (or 1/7). Since the first marble is not replaced, the probability of the second being drawn is also 2/14 (or 1/7). Mathematically, this can be expressed as: P(Both Red) = P(Red 1) x P(Red 2) = (2/14) x (2/14) = 1/7

In general, when dealing with probability questions involving drawing multiple objects from a box, the probability of drawing one object followed by another is calculated by multiplying the probability of drawing each individual object.

In the case of two marbles being drawn without replacement, the probability of both marbles being the same color is calculated by multiplying the probability of the first marble being of that color by the probability of the second marble being of that color.

The probability of the second marble being of the same color is lower than the probability of the first marble being of that color since it is drawn from a reduced set (the original set minus the first marble).

In this case, the probability of the second marble being of the same color as the first is 2/14, or 1/7. In conclusion, the probability of both marbles being red is 2/14, or 1/7.

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Answer:

8

Step-by-step explanation:

When you add it together, you get 8.

Answer:

92/3 acres

Step-by-step explanation:

Size of one section = \(3\frac{5}{6}\) acres = 23/6 acres

No. of sections = 8

Total land owned by the owner = 23/6 * 8

= 92/3 acres or 3 \(\frac{2}{3}\) acres

An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

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Answer:

There are 12, 3-point problems & 16, 4-point problems

Step-by-step explanation:

3-point problem = x

4-point problem = y

Total points = 100

Total problems = 28

According to given statement; x+y=28  

Answer:

the slope is:1 the y-intercept is:3

Step-by-step explanation:

Answer:

Your slope is 1

Step-by-step explanation:

The equation reads...

y = 1x + 3

and the Slope intercept equation/equation for a straight line is...

y = mx + b

m is your slope...

1

b is your y-intercept...

3

Answer:

B number is right.

8 + (15 – 4) x 4 – 10 ÷ 5

8+11×4--10÷5

8+11×4-2

8+44-2

52-2

50

In order to find the fraction of the pie Ralph eat after dinner, you take into account that after dinner He ate 1/3 of the pie he leaft before dinner.

You can write that the pie before dinner is variable x, then, before dinner Ralph ate 1/2 of such a pie, that is, Ralph ate 1/2x, hence, He leaft x - 1/2x=1/2x before dinner.

He ate 1/3 of the Pie he leaft before dinner, that is He ate 1/3(1/2x) = 1/6x

Hence, Ralph ate 1/6 of the pie after dinner.

Answer:

14

Step-by-step explanation:

8/9 = 0.888888888......

<5 round down

\(\geq\)5 round up

8/9 = 0.888888888....

larger than 0.5

the answer is 14

Answer:

1) 48

2)44

Step-by-step explanation:

Answer:  48 44 Are The Correct Answers

Step-by-step explanation:Hope This Helps

The constant of proportionality of the proportional relationship is: 3.5.

A proportional relationship between two variables, x and y, can be expressed in slope-intercept form as, y = kx, where k is the constant of proportionality.

The constant of proportionality is therefore determined using the formula, k = y/x.

Given the graph above, we can use the point on the line, (1, 3.5) to find the constant of proportionality.

Constant of proportionality, k = y/x = 3.5/1

Constant of proportionality, k = 3.5.

Therefore, the constant of proportionality of the proportional relationship is: 3.5.

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Answer:

91.051

Step-by-step explanation:

 259.840

- 168.789

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

 091.051

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

The volume of the pyramid bounded by the given plane in the first octant is 24 cubic units.

To find the volume of the pyramid bounded by the plane x + 2y + 6z = 12 in the first octant (x ≥ 0, y ≥ 0, z ≥ 0), we first need to determine the vertices where the plane intersects the coordinate axes.

For x-axis (y = 0, z = 0):
x + 2(0) + 6(0) = 12
x = 12

For y-axis (x = 0, z = 0):
0 + 2y + 6(0) = 12
2y = 12
y = 6

For z-axis (x = 0, y = 0):
0 + 2(0) + 6z = 12
6z = 12
z = 2

So, the vertices of the pyramid are A(12, 0, 0), B(0, 6, 0), and C(0, 0, 2).

Now, to calculate the volume of the pyramid, we use the formula:

Volume = (1/3) × Base Area × Height

Since the base of the pyramid is a right-angled triangle with sides 12 and 6, the base area is:

Base Area = (1/2) × Base × Height = (1/2) × 12 × 6 = 36 square units

The height of the pyramid is equal to the z-coordinate of vertex C, which is 2.

Now, we can calculate the volume:

Volume = (1/3) × 36 × 2 = 24 cubic units

The volume of the pyramid bounded by the given plane in the first octant is 24 cubic units.

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Answer:

Idkasd

Step-by-step explanation:

Keep trying

Answer:

the x-intercept is (-4,0)

the y-intercept is (0,-7)

Answer:

24

Step-by-step explanation:

knowing a parallelogram, JK = ML

so,

14 + 2x = 5x – 1

2x – 5x = –14 –1

–3x = –15

3x = 15

x = 5

substitute x=5 into 14 + 2x

14 + 2(5) = 24

qeta ssbeni rpnedjo e  

adwdaee  icsoch

Answer:

I think is 2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

COP is slope which is rise over run.

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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Step-by-step explanation:

Simplifying

8x + -2(3x + -4 + 2y) + -12x = 0

Reorder the terms:

8x + -2(-4 + 3x + 2y) + -12x = 0

8x + (-4 * -2 + 3x * -2 + 2y * -2) + -12x = 0

8x + (8 + -6x + -4y) + -12x = 0

Reorder the terms:

8 + 8x + -6x + -12x + -4y = 0

Combine like terms: 8x + -6x = 2x

8 + 2x + -12x + -4y = 0

Combine like terms: 2x + -12x = -10x

8 + -10x + -4y = 0

Solving

8 + -10x + -4y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -10x + -8 + -4y = 0 + -8

Reorder the terms:

8 + -8 + -10x + -4y = 0 + -8

Combine like terms: 8 + -8 = 0

0 + -10x + -4y = 0 + -8

-10x + -4y = 0 + -8

Combine like terms: 0 + -8 = -8

-10x + -4y = -8

Add '4y' to each side of the equation.

-10x + -4y + 4y = -8 + 4y

Combine like terms: -4y + 4y = 0

-10x + 0 = -8 + 4y

-10x = -8 + 4y

Divide each side by '-10'.

x = 0.8 + -0.4y

Simplifying

x = 0.8 + -0.4y

The equation which is useful to find "n" number of weeks to reach our goal is 35n + 100 = 800.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

As per the given table,

Amount of money in 0 weeks = $100

Amount of money in 1st week = $135

In 2nd week = $170, in 3rd week = $205

So there is a $35 increment each week.

Let's say it takes "n" number of weeks to reach the goal.

So, 35n + 100 = 800

Hence the answer is The equation which is useful to find "n" number of weeks to reach our goal is 35n + 100 = 800".

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The general solution to the recurrence relation xₙ = 4xₙ₋₁ - 3nₙ₋₂ with initial conditions x₀ = 0 and x₁ = 1 is xₙ = 2ⁿ⁺¹ - n - 1.

The given recurrence relation xₙ = 4xₙ₋₁ - 3xₙ₋₂, with initial conditions x₀ = 0 and x₁ = 1, can be solved by analyzing the recursive formula. By examining the pattern, we observe that each term xₙ is derived by multiplying the previous term xₙ₋₁ by 4 and subtracting 3 times the term xₙ₋₂.

By solving for xₙ in terms of n using the initial conditions, we find that the general solution is xₙ = 2ⁿ⁺¹ - n - 1.

This solution combines a geometric pattern (2ⁿ⁺¹) with a linear decrement (n + 1) and an offset (-1). It satisfies the initial conditions and represents the sequence for any value of n.

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The interest rate your friend is charging you for the $20,000 loan is 20% per year.

The simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is the interest rate and t is time.

Given that;

The Principal P = $20,000

Accrued amount A = $40,000

Elapsed time t = 5 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate r:

\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)

Converting r decimal to R a percentage

Rate R = 0.2 × 100%

Rate r = 20% per year

Therefore, the interest rate is 20% per year.

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The reasonable domain and range values for this function will be [0,6] and [0,54] respectively.

Domain is the set of values for which the given function is defined and Range is the set of all values which the given function can output'.

The given function is;f(x) = 1.5x^2

The side lengths are x in., 2x in., and 0.5x in.

The longest side length of the box can be no greater than 12.

The domain is shown as;

0<x≤b

According to the graph;

When x=0, f(0)= 1.5 ×(0)²=0

x= 6,  f(6)= 1.5 ×6²=54

The range is ;

F(x)∈[0,59]

Hence, the reasonable domain and range values for this function will be [0,6] and [0,54] respectively.

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Answer:

Its the 2,3,5,6,10

Step-by-step explanation:

I SAID I THINK

The p-value is 0.063, which indicates that there is not strong evidence to reject the null hypothesis that the percentage has stayed the same.

The p-value can be calculated by using a one-proportion z-test. The null hypothesis would be that the percentage has stayed the same from last year, and the alternative hypothesis is that the percentage has decreased.

The formula for the z-score is (x-p)/√(p(1-p)/n), where x is the observed proportion (39/260), p is the expected proportion (0.20), and n is the sample size (260). The p-value is then calculated using the z-score and the cumulative distribution function.

Therefore p-value, in this case, is 0.063, which indicates that there is not strong evidence to reject the null hypothesis that the percentage has stayed the same.

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Step-by-step explanation:

(4x² + 3y) by (3x² - 4y)

(4(1)² + 3(2)) by (3(1)² - 4(2))

(4 + 6) and (3 - 8)

10 x (-5) = -50 or 50 if negatives aren't an option

Answer:

22

Step-by-step explanation:

(4×1²+3×2) × (3×1²-4×2)

(16+6)×(9-8)

22×1=22

Answer:

1. 56.7

2. 0.088

Step-by-step explanation:

1.35x4.2=56.7

0.4x0.22=0.088

Matt can fill 28 containers

Each rice container holds 1/4 kilogram of rice

Matt has 7 kilograms of rice

Hence the number of containers he can fill can be calculated as follows

1/4 × 7

= 28

The number of containers Matt can fill is 28 containers

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Answer:

Acute

Step-by-step explanation:

Acute is defined as an angle less than 90°. All of those angles are less the 90°.

Answer:

right triangle

Step-by-step explanation:

To test for a right triangle, use the Pythagorean theorem.

Let the legs, a and b, be the two shorter sides, and let the hypotenuse, c, be the longest side.

a² + b² = c²

a² + b² = 7.2² + 9.6² = 51.84 + 92.16 = 144

c² = 12² = 144

Since a² + b² = c², the triangle is a right triangle.