3. [5 points] A parametric line is defined by the equation p(t)= (1-t)a+tb. Let a (xa. Ya) p(t)=(Px. Py) (6, -12) (10,-9) 1.4 -14.1 Find values of b= (x, y) at t=0.4 Solve step by step, show all the s

The probability of both rice and carrots being served with dinner is 23.4%.

The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.

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Answer:

$2.58

Step-by-step explanation:

First, we should divide each number by 10 to get the amount per person we get...

10 cups

10 plates

20 balloons

Since the cost of cups, plates, and balloons is written as 100 of them, we just have to divide each of the by the amount we got after dividing by 10 and use that same amount and divide the money...

1. 10 cups is 1/10 of 100 cups so we divide $5.45 by 10 = .545

2. 10 plates is 1/10 of 100 plates so we divide $4.75 by 10 = .475

3. 20 balloons is 1/5 of 100 balloons so we divide $7.80 by 5 = 1.56

Now, we add them all up to get $2.58

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Answer:

-2

Step-by-step explanation:

Note that slope-intercept form looks like: y = mx + b

In this case, isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides:

2x (-2x) + y = 6 (-2x)

y = -2x + 6

Note in the slope-intercept form: y = mx + b

y = y

m = slope

x = x

b = y-intercept

In this case, your slope is -2. All lines parallel to the given equation will also have a slope of-2.

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The total distance covered by Mary while walking around the track is 2 1/2 miles.

On a track, Mary and Jerry are working out.

Mary is moving along at a 3 mph pace.

After Mary has been walking for fifteen minutes, Jerry begins to jog at a speed of four miles per hour.

Mary continues to walk as Jerry jogs for two kilometers before they both stop at the same time.

Enter Mary's total walking mileage around the track in miles.

Find the distance M had walked when J starts jogging.

15 min = 0.25 hrs

3 × .25 = .75 miles

Find how long it took J to jog 2 miles at 4 mph

2/4 = .5 hrs

Find how far M can walk in .5 hrs at 3 mph

.5 × 3 = 1.5 miles

Enter the total distance, in miles, that Mary walks around the track

.75 + 1.5 = 2.25 mi or 2 1/4 miles.

Hence distance covered in miles is 2.25 miles.

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Answer:

156 as per the question

Answer:

156xq

Step-by-step explanation:

12⋅13  

156

is this a real question cause the awnser is fire

Answer:

0.86

Step-by-step explanation:

Move the decimal point one place to the right

Answer:

Step-by-step explanation:

Given the data set of 15 where:

As per given we conclude

a) Possible set is:

b) Add number 20, the set will be:

The mean is different as we have now more numbers with different sum:

The median is different now and moves to the right as 20 added to the far right:

The mode stays same as still most used number is 5:

Answer:

It would be 76 hamburgers were sold on Wednesday

Step-by-step explanation:

I divided the total 304 by 4 and got 76. Then when you multiply that out you get a total of 304

Given the equation of the line :

It is required to write the equation of the line parallel to the given line and pass through the point ( 12 , 4 )

The general equation of the line in slope - intercept form is :

Where m is the slope and b is y - intercept

As the line are parallel , so, the slope of the required line will be equal to the slope of the given line

So, the slope = m = -1/4

So, the equation of the line will be :

Using the given point ( 12 , 4 ) to find b

so, when x = 12 , y = 4

So, the equation of the required line is :

Answer:78 feet and 34 cubic feet

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Since you are going for the largest value of x that satisfies the equation, you don't need to worry about negative numbers, and therefore don't need to worry about the absolute value.

5x-1=x+3

5x=x+4

4x=4

x=1

Hope this helps!

Answer:

A. 18x – 80

Step-by-step explanation:

18(x - 3) - 26

18x - 54 - 26

18x – 80

Answer:

After Multiplying them.

we get 0 as an answer.

Answer: A.

\(H_0:p=0.12\\\\H_a:p<0.12\)

Step-by-step explanation:

Null hypothesis\((H_0)\) : A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.  

Alternative hypothesis \((H_a)\): A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.

Let p be the proportion of screens that will be rejected.

12 percent of the screens manufactured using a previous process were rejected at the final inspection.

(i.e. p= 0.12)

Objective of the study = whether the new process reduces the population proportion of screens that will be rejected

i.e. p< 0.12

So, the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected:

\(H_0:p=0.12\\\\H_a:p<0.12\)

A true conditional statement consists of a hypothesis and a conclusion, where the conclusion logically follows from the hypothesis. In order for a conditional statement to be true, both the hypothesis and the conclusion must be true.

Here is an example of a true conditional statement with a correctly identified hypothesis and conclusion:

"If it is raining, then the ground is wet."

Hypothesis: "It is raining."
Conclusion: "The ground is wet."

In this example, the hypothesis is the condition that must be true for the conclusion to be true. If it is indeed raining, then it follows logically that the ground would be wet. Therefore, this conditional statement is true.

It's important to note that not all conditional statements are true. For example, the statement "If it is raining, then the ground is dry" would be false, as it contradicts the logical connection between rain and a wet ground.

In summary, a true conditional statement includes a correctly identified hypothesis and conclusion, where the conclusion logically follows from the hypothesis.

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After solving the values of x are 0,-2.

Given:

f(x)=2x+1 and g(x)=x^2 and f(g(x))=g(f(x))

f(x^2) = g(2x+1)

2(x^2) + 1 = (2x+1)^2

2x^2 + 1 = (2x)^2 + 1^2 + 2*2x*1

2x^2 + 1 = 4x^2 + 1 + 4x

4x^2 - 2x^2 + 4x = 1-1

2x^2 + 4x = 0

2x(x+2) = 0

2x = 0 and x+2 = 0

x = 0    and x = -2

Therefore After solving the values of x are 0,-2.

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The simplified expression is \(21x^2 - 25x - 28\) in the given case.

An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.

"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.

To simplify the expression, first distribute the -3x and (3x + 4) terms:

\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)

Next, combine like terms:

\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)

Therefore, the simplified expression is \(21x^2 - 25x - 28.\)

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Answer:

20, the answer is 20 members

Answer:

3) On a test of 25 questions, a student 4) Alisa earned $30 raking leaves. She ... 80% horror. 6Sn-sdo 1800 ... How many tickets were a) What percent of her weight did sold? ... b) Atlantic Auditorium has 850 seats. b) At the next visit, we were happy to see ... members of the art club voted in the more students joined. election.

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

A measure of variation is an estimate of the spread of the numbers.

For example the set of numbers 1 2 3 19 78 has a greater measure of variation than the set 1 2 3 5 9.

The interquartile range and the mean absolute deviation are measures of variation.

3 6 8 15 21 22 23

The median of the data is the middle number 15..

The lower quartile is 6 and the higher quartile is  22

The interquartile range is 22 - 6 = 16.

The mean absolute deviation (M.A.D.) is calculated as follows:

Mean = (3+6+8+15+21+22+23) / 7 = 98/7

= 14.

List the absolute differences from the mean

14 - 3 = 11

14-6 = 8

15-14 = 1

21-14= 7

22-14 = 8

23-14 = 9   ( all these have to be positive)

The sum of the differences is 11+8+1+7+8+9 = 44

So the MAD = 44/7 = 6.3 to nearest tenth.

Answer:

B

Step-by-step explanation:

We can determine the total miles run by the 10 students by adding all the miles run by each individual student:

A

1 student * 1/12 miles = 1/12 miles

2 students * 1/8 miles = 2/8 miles = 1/4 miles

1 student * 1/6 miles = 1/6 miles

2 students * 1/4 miles = 2/4 miles = 1/2 miles

1 student * 1/3 miles = 1/3 miles

3 students * 1/2 miles = 3/2 miles

We add all these fractions to obtain 17/6, which is approximately 2.83, which is not as the question describes.

B

2 students * 1/6 miles = 1/3 miles

2 students * 1/4 miles = 1/2 miles

2 students * 1/3 miles = 2/3 miles

3 students * 1/2 miles = 3/2 miles

1 student * 1 mile = 1 mile

We add all these fractions to obtain 4 miles, which is as the question describes.

The volume of the Solid -

V = ∫[-2,2] 4x^2(2x^2 - 1)(12x^2 - 1) dx

What is volume?

Volume is a measure of the amount of three-dimensional space occupied by an object or a region. It quantifies the extent or size of a solid object or a container. In simpler terms, volume is a measure of how much space an object takes up.

What is integral?

In mathematics, an integral is a fundamental concept in calculus that allows us to compute the total accumulation of a quantity over a given interval. It is used to find the area under a curve, the length of a curve, the volume of a solid, and many other applications.

To find the volume of the solid enclosed by the paraboloid z = 3x^2(y - 2)^2 and the planes z = 1, x = -2, x = 2, y = 0, and y = 2, we need to set up a triple integral over the given region.

The limits of integration for x, y, and z are as follows:

x: -2 to 2

y: 0 to 2

z: 1 to 3x^2(y - 2)^2

The volume V can be calculated as follows:

V = ∫∫∫R dz dy dx

where R represents the region defined by the given planes.

V = ∫∫∫R 3x^2(y - 2)^2 dz dy dx

To evaluate this triple integral, we integrate with respect to z first, then y, and finally x, using the given limits of integration:

V = ∫[-2,2] ∫[0,2] ∫[1,3x^2(y-2)^2] 3x^2(y - 2)^2 dz dy dx

Performing the integration:

V = ∫[-2,2] ∫[0,2] [3x^2(y - 2)^2z]∣[1,3x^2(y-2)^2] dy dx

V = ∫[-2,2] ∫[0,2] 3x^2(y - 2)^2[3x^2(y-2)^2 - 1] dy dx

V = ∫[-2,2] [x^2(y - 2)^2(3x^2(y-2)^2 - 1)]∣[0,2] dx

V = ∫[-2,2] 4x^2(2x^2 - 1)(12x^2 - 1) dx

Evaluate this integral using appropriate techniques or numerical methods, such as numerical integration or computer software, to find the volume of the solid enclosed by the paraboloid and the given planes.

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Answer:

40.9 mi

Step-by-step explanation:

The four points will make the rectangle, and each pair of points in sequence will create a side of the rectangle. So, to find the length of each side, we need to find the distances between each pair of points in sequence:

distance between (0,0) and (0, 7.65) -> |7.65 - 0| = 7.65 mi

distance between (0,7.65) and (12.8, 7.65) -> |12.8 - 0| = 12.8 mi

distance between (12.8, 7.65) and (12.8, 0) -> |0 - 7.65| = 7.65 mi

distance between (12.8, 0) and (0, 0) -> |0 - 12.8| = 12.8 mi

So the perimeter is 7.65 + 12.8 + 7.65 + 12.8 = 40.9 mi

Answer:

40.9 mi

Step-by-step explanation:

will make it simple and short

in a surveying measurements with coordinates, we always take it from the Zero. So each coordinates must be subtracted from Zero to get the length of each point.

therefore the perimeter = 0 + 7.65 + 12.8 + 7.65 + 12.8 + 0 = 40.9 mi

If in a triangle, a base and a corresponding height are in the ration 5 : 2. the area is. 80 ft². the base of the triangle is 20 ft and the corresponding height is 8 ft.

Let's assume that the base of the triangle is 5x and the corresponding height is 2x where x is a common factor.

The formula for the area of a triangle is :

Area = (1/2) * base * height

Substitute

80 = (1/2) * (5x) * (2x)

80 = 5x²

Dividing both sides by 5:

16 = x²

Taking the square root of both sides:

x = √16

x = 4

Now we can find the base and corresponding height:

Base = 5x = 5 * 4 = 20 ft

Height = 2x = 2 * 4 = 8 ft

Therefore the base of the triangle is 20 ft and the corresponding height is 8 ft.

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Answer:

Please finish question.

Step-by-step explanation:

Hello! I would be able to answer your question if you finish your question.

Answer:

Step-by-step explanation:

Just as the “stop sign” uses its 8 sides to communicate about “sharing the stop in all directions”, the yield sign’s 3 sides communicate as well. That triangle communicates that things’ll get tighter and tighter for you, as you move up. It’s sort of implicit - your space is going away. You need to stop and yield to others whose space hasn’t gone away.

-lukelaws

please brainiest in almost another level up!

\(\textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \ln\left( r^2s^{10}\sqrt[4]{r^2s^{10}} \right)\qquad \qquad \stackrel{\textit{let's for a second make}}{z = r^2s^{10}} \\\\\\ \ln\left(z\cdot \sqrt[4]{z} \right)\implies \ln\left(z\cdot z^{\frac{1}{4}} \right)\implies \ln\left(z^{1+\frac{1}{4}} \right)\implies \ln\left(z^{\frac{5}{4}} \right)\)

\(\stackrel{\textit{and substituting back}}{\ln\left( \left[ r^2s^{10} \right]^{\frac{5}{4}} \right)}\implies \ln\left( r^{2\cdot \frac{5}{4}} ~~ s^{10\cdot \frac{5}{4}} \right)\implies \ln\left( r^{\frac{5}{2}}~~s^{\frac{25}{2}} \right) \\\\\\ \ln\left( r^{\frac{5}{2}} \right)~~ + ~~\ln\left( s^{\frac{25}{2}} \right)\implies \stackrel{A}{\cfrac{5}{2}}\ln(r)~~ + ~~\stackrel{B}{\cfrac{25}{2}}\ln(s)\)

Answer:

help help help help help how help on what the heck

Step-by-step explanation:

Answer:

help help help help help  hey hi he

Step-by-step explanation:

The value of c that makes the equation true is c = 64, when x = 6 and y = 3.

To find the value of c that makes the equation true, we can start by simplifying both sides of the equation using exponent rules and canceling out common factors.

First, we can simplify 3√(x^3) to x√x, and 3√y to y√y, giving us:

x√x/cy^4 = x/4y(y√y)

Next, we can simplify x/4y to 1/(4√y), giving us:

x√x/cy^4 = 1/(4√y)(y√y)

We can cancel out the common factor of √y on both sides:

x√x/cy^4 = 1/(4)

Multiplying both sides by 4cy^4 gives us:

4x√x = cy^4

Now we can solve for c by isolating it on one side of the equation:

c = 4x√x/y^4

We can substitute in the values of x and y given in the problem statement (x>0 and y>0) and simplify:

c = 4x√x/y^4 = 4(x^(3/2))/y^4

c = 4(27)/81 = 4/3 = 1.33 for x = 3 and y = 3

c = 4(64)/81 = 256/81 = 3.16 for x = 4 and y = 3

c = 4(125)/81 = 500/81 = 6.17 for x = 5 and y = 3

c = 4(216)/81 = 64 for x = 6 and y = 3

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