On monday, mr. roberts drove 42 miles. on tuesday, he drove 5 miles more than half the distance he drove on monday. which expression shows how you could find the distance, in miles, mr. roberts drove on tuesday?

Answer:

1)2/5

2)2/3

Hope this helps!

Answer:

1. m=2/5

2. m-2/3

Step-by-step explanation:

There are 9 tables with 4 chairs in the restaurant.

Let's establish the variables:

Let x be the number of tables with 4 chairs

Let y be the number of tables with 5 chairs

Let z be the number of tables with 6 chairs

We know that there are a total of 19 tables, therefore:

x + y + z = 19 (equation 1)

We also know that the total number of people that can be accommodated in tables with 4 or 5 chairs is 64, therefore:

4x + 5y = 64 (equation 2)

We want to find the value of x, so we need to eliminate y from the equations above. We can do this by multiplying equation 2 by 4, and then subtracting it from equation 1:

x + y + z - 16x - 20y = 19 - 256

Simplifying:

-15x - 19y = -237

Dividing both sides by -19:

x = 9

Therefore, there are 9 tables with 4 chairs.

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Translated Question: Clear the selection Question 2: In a restaurant for 94 people there are 19 tables that can seat 4.5 or 6 people. If we know that the total number of tables with 4 or 5 chairs can accommodate 64 people, how many tables have 4 chairs?

The required probability for the parts which are examined for defects are ;

1. Probability of both the parts are good is equal to 0.375.

2. Probability represents exactly one part has major defect is 0.2333.

Here, we have,

Total number of parts to be examined for defects = 16

Number of good parts = 10

Number of parts with minor defects = 4

Number of parts with major defects = 2

Number of parts to be chosen at random without replacement = 2

Total number of outcomes = ¹⁶C₂

                                            = (16!) / ( 16 - 2 )!2!

                                            = 120

1. Probability of both the parts to be good

Number of favourable outcomes = ¹⁰C₂

                                                       = 10! / (8!)(2!)

                                                       = 45

Required Probability = 45 / 120

                                  = 0.375

2. Probability of exactly one major defect

Number of favourable outcomes= ²C₁ × ¹⁴C₁

                                                     = 2 × 14

                                                     = 28

Required Probability = 28/ 120

                                  = 0.2333

Therefore, the probability of both are good is 0.375 and probability of exactly one major defect is 0.2333.

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The above question is incomplete, the complete question is:

'16 parts are examined for defects. It is found that 10 are good, 4 have minor defects, and 2 have major defects. Two parts are chosen at random from the 16 without replacement; that is; the first part chosen is not returned to the mix before the second part is chosen:

1. What is the probability that both parts are good?

2. What is the probability that exactly one part has major defect?'

Answer:

the slope is -2/1 or -2

Answer:

69 - 52 = g

(g = 17)

Step-by-step explanation:

69 [total students] - 52 [no role] = g [those who got in]

69 - 52 = g            {simplify/combine like terms}

17 = g

g = 17

So, 17 students will be in the play

(could also be modeled as 52 + g = 69)

(this is because the only possibility for each student is to either not get in, or get in. So, if we add these two values up, we get the total number of students who auditioned).

(if you want to model the equation as such:

52 + g = 69

- 52          -52   {subtract 52 from both sides to isolate g}

g = 17)

26400 is what they travel in feet in a day divide that by 24 and that should be your answer

Given :

Data given : 20 , 12 , 27 , 23 , 18 , 20 , 30 , 26 .

Mean of the data , m = 22 .

To Find :

The mean absolute deviation of given data .

Solution :

We know , mean deviation(M.D) across mean is given by :

\(M.D =\dfrac{\text{Sum of absolute value of difference of observation by mean}}{\text{Total number of observations }}\\\\M.D=\dfrac{|20-22|+|12-22|+|27-22|+|23-22|+|18-22|+|20-22|+|30-22|+|26-2|}{8}\\\\M.D=\dfrac{2+10+5+1+4+2+8+4}{8}\\\\M.D=4.5\)Therefore , the mean absolute deviation is 4.5 .

Hence , this is the required solution .

The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.

The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.

Here, we will solve this system of equations using inverse of the matrix method as follows:

We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].

The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33]  where,

d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,

d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,

d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,

d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,

d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,

d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,

d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,

d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,

d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.

We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]

Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]

Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.

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The quadratic equation that represents the solution is F: p(x) = x² - 49.

The term "quadratic" refers to functions where the highest degree of the variable (in this example, x) is 2. A quadratic function's graph is a parabola, which, depending on the sign of the leading coefficient a, can either have a "U" shape or an inverted "U" shape.

Algebra, geometry, physics, engineering, and many other branches of mathematics and science all depend on quadratic functions. They are used to simulate a wide range of phenomena, including population dynamics, projectile motion, and optimisation issues.

Given that the solution of the quadratic function are x = -7 and x = 7 thus we have:

p(x) = (x + 7)(x - 7)

Solving the parentheses we have:

p(x) = x² - 7x + 7x - 49

Cancelling the same terms with opposite sign we have:

p(x) = x² - 49

Hence, the quadratic equation that represents the solution is F: p(x) = x² - 49.

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Answer:

In standard notation, the number is \(2.6 * 10^4\) light years

Step-by-step explanation:

We have to write the number 26,000 in standard notation,

in standard notation, there is 1 number before the decimal and all others come after the decimal and some power of 10 is multiplied depending upon the number,

in our case,

26000 = 2.6 * 10^4

(since the number is 26 thousand 2.6 ten thousand and ten thousand = 10^4)

The perimeter of the rectangle ABCD is 36 units, as option A, since the sum of all four sides of the rectangle is twice the sum of its adjacent sides. Option A.

In a rectangle, opposite sides are congruent. Let's denote the length of side AB as "a" and the length of side BC as "b".

From the given information, we know that AD is a diagonal of the rectangle with a length of 10 units, and AB is one side of the rectangle with a length of 8 units.

Using the Pythagorean theorem, we can find the length of side BC. The diagonal AD, side AB, and side BC form a right triangle. Applying the theorem, we have:

AD^2 = AB^2 + BC^2

10^2 = 8^2 + BC^2

100 = 64 + BC^2

BC^2 = 36

BC = 6

Since opposite sides of a rectangle are congruent, side CD is also 6 units.

The perimeter of a rectangle is the sum of all its sides. Therefore, the perimeter of ABCD is 2a + 2b = 2(8) + 2(6) = 36 units.

Hence, the correct option is A, which states that the perimeter of the rectangle is 36 units.

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Answer:

4.5

Step-by-step explanation:

Answer:

The Z is has no lines of symmetry. The W and Y have one line of symmetry. The X has two lines of symmetry.

Answer:

The letter Z has no lines of symmetry. No matter where you put a straight line through Z, it will never be symmetrical.

hope this helps! <3

Answer:

(E) if im wrong don't sew meh

Step-by-step explanation:

Answer:4.1

Step-by-step explanation:

The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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Vertical angles. hope it helps.

Answer:

Vertical angles.

Step-by-step explanation:

Angles 4 and 2 have the same angle measure and angles 1 and 3 have the same angle measure. This happened because the lines intersected each other.

A confidence interval cannot instantly lead to rejecting the null hypothesis in a hypothesis test. In the given case the null hypothesis is either rejected or rejected based on test statistics.

α = 0.05

μ = 2

If the confidence interval is 1.0 or 2.0, then the null hypothesis value of 2 drops exceeds the interval, this makes the data contradict the null hypothesis and may reject the null hypothesis.

This alone would not be good to decline the null theory - the conclusion to reject or not reject the null hypothesis is determined by the test statistic and the alternate p-value.

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Answer: (-3u + -3) -5

Step-by-step explanation:
Use distributive property

Answer:

the answer is 5 lists

hope this helps

All we need to do is multiply.

6 miles * 28 days = 168 total miles ran in 28 days.

Therefore, the answer is 168 miles

Best of Luck!

If we asked people to give their age and you collected it as <5, 6-10, 11-15, 16- 20, 21-25, 26, and older, it is a type of Discrete variable.

Therefore, if we asked people to give their age and you collected it as <5, 6-10, 11-15, 16- 20, 21-25, 26, and older, it is a type of Discrete variable.

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Answer:

y = -7/4x - 11

Step-by-step explanation:

formula is y = mx + b

m is the slope

b is the y intercept

y = -7/4x -11

which is the first one

Answer:

rise over run

Step-by-step explanation:

answer

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

In the given problem, the optimal number to bet to maximize profits and ensure you will "always" reach the goal is 20 points.

To maximize profits and ensure that you always reach the goal of 5000 points, you need to use a betting strategy that balances the risk and reward of each bet.

Let's consider a few scenarios:

Scenario 1: Betting the minimum amount each time

If you bet the minimum amount each time, which we'll assume is 1 point, then you would need to win 10,000 bets in a row to reach 5000 points. This is highly unlikely, as the probability of winning 10,000 consecutive 50/50 bets is very low.

Scenario 2: Betting the maximum amount each time

If you bet the maximum amount each time, which we'll assume is 5000 points, then you would only need to win one bet to reach 5000 points. However, if you lose that one bet, you would lose all of your points and the game would be over. This is a very risky strategy and not recommended.

Scenario 3: Betting an intermediate amount each time

To balance risk and reward, a better strategy would be to bet an intermediate amount each time. Let's call this amount "x". If you win, you will receive 1.5 times your bet, or 1.5x. If you lose, you will lose your entire bet, or x.

To calculate the optimal value of "x", we need to consider the expected value of each bet. The expected value is the sum of the probabilities of each outcome multiplied by the payoff for that outcome. In this case, the probability of winning is 0.5 and the probability of losing is 0.5. The payoff for winning is 1.5x and the payoff for losing is -x (i.e., you lose x points).

So the expected value of each bet is:

0.5(1.5x) + 0.5(-x) = 0.25x

To maximize profits, we want to choose the value of "x" that maximizes the expected value of each bet. Since the expected value is proportional to "x", we can simply choose the largest possible value of "x" that ensures we always reach the goal of 5000 points.

If we bet 20 points each time, then the expected value of each bet is:

0.25(20) = 5

This means that, on average, we will gain 5 points for each bet we make. To reach 5000 points, we would need to make 250 bets, and we would expect to gain 1250 points from those bets. This is enough to ensure that we always reach the goal of 5000 points, and it maximizes our expected profits.

Therefore, the optimal number to bet to maximize profits and ensure you will "always" reach the goal is 20 points.

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The y-intercept is 44. The machine starts with 44 ounces of sweet tea.

From the question, we have the following parameters that can be used in our computation:

The readings of the scatter plot

The y-intercept of the data is when x = 0

In the readings, we have

0 comma 44

This means that

x = 0 and y = 44

So, the y-intercept is 44

In the context of the data, it means that the machine starts with 44 ounces of sweet tea

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Answer:

Their speed is 32 km/h.

Step-by-step explanation:

Since they're at the same speed, we can assign a variable to their speed called "x". When the first car increases its speed by 1 km/h, its new speed is "x + 1", while the other car decreases its speed by 10 km/h, so its new speed is "x - 10". The distance's formula can be expressed as below:

\(\text{distance} = \text{speed}*\text{time}\\\)

With the modifications to their speed, the distance the first car covers in 2 h and the distance the second car covers in 3 h is shown below:

\(\text{distance}_{car1} = (x + 1)*2 \\\text{distance}_{car1} = 2*x + 2\)

\(\text{distance}_{car2} = \text{speed}*\text{time}\\\text{distance}_{car2} = (x - 10)*3\\\text{distance}_{car2} = 3*x - 30\)

Since the distance covered by them must be the same, we can find the value of x that makes the expressions equal.

\(2*x + 2 = 3*x - 30\\2*x - 3*x = -30 -2\\-x = -32\\x = 32\)

Their speed is 32 km/h.

55%*x=165

55/100*x=165

Simplify:

11/20x=165

x=300