During a math game, a team kept track of their answers. The following diagram describes the number of answers they got right to the number they got wrong.

What is the ratio of right answers to wrong answers?

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-2}-\stackrel{y1}{(-2)}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{-2 +2}{2} \implies \cfrac{ 0 }{ 2 } \implies \text{\LARGE 0}\)

Answer:

slope = 0

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (3, - 2 ) and (x₂, y₂ ) = (5, - 2 )

m = \(\frac{-2-(-2)}{5-3}\) = \(\frac{-2+2}{2}\) = \(\frac{0}{2}\) = 0

To plan a trip to your state capital, you need the following numbers

Assume you're travelling by road, you need to highlight the number of routes between your state and the state capital.

The number of routes is a natural number (i.e. minimum of 1 e.g. 6, 8, 1). Because it is a natural number, the number of routes can never be 0.

Next is to determine the distance to the state capital through each route. In most cases, the distance between places are positive rational or irrational numbers (however, they can be approximated to natural numbers).

The speed limit on each route will also help in planning the trip. Speed limits are always represented as natural numbers. When you know the speed limit (and the distance), you can use that to predict how long (i.e. the time) the trip will take. The formula to use is:

\(Speed = \frac{Distance}{Time}\)

Make time the subject

\(Time= \frac{Distance}{Speed }\)

The value of time can be estimated/approximated as a natural number.

In addition to the previous number, you may also need the following numbers

The essence of place value in these number (especially the numbers with decimal points) is to get an estimated value.

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The hypothesis test that should be conducted to answer the research question  is a chi-squared test.

A chi-squared test will be used to determine whether there is a relationship between the two variables, i.e., whether the players' choices of paper, rock, and scissors are independent of each other or whether there is an association between them.

This hypothesis test will allow you to test whether the observed distribution of results is statistically significant and can help you answer the research question by comparing the observed results to what you would expect to see if there was no relationship between the variables.

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Answer:

The distance between the two

points on the map

is 225 units

Step-by-step explanation:

Firstly, we need to calculate the distance in units between the two locations on the map

What we have to use here is the distance formula

Mathematically, we have this as;

D = √(x2-x1)^2 + (y2-y1)^2

(x1,y1) = (2,10.5)

(x2,y2) = (14,16)

we have the distance as follows;

D = √(14-2)^2 + (16-10.5)^2

D = √(12^2 + 6.5^2)

D = √(186.25)

D = 13.65 units

now, from the question, 1 unit on the map represents a distance of 16.5 miles

thus, a distance of 13.65 units will be;

16.5 * 13.65 = 225.225

= 225 units

Answer:

a the treatment was randomly assigned to the dogs

Step-by-step explanation:

Yes, treatment was randomly assigned to the dogs.

"A randomized design is considered as a type of experiment which is assigned to different types of treatment by conducting different experiment  to different groups."

According to the question,

A veterinarian conducts an experiment to check which one is more  beneficial glucosamine alone or glucosamine with chondroitin.

A veterinarian conducts experiment on 32 dogs by dividing them into two groups of 16 each randomly and done his experiment. 16 dogs are given the glucosamine treatment and other 16 are glucosamine with chondroitin.

After six months , health of each dog is measured and compared.

Hence, we conclude that yes, treatment was randomly assigned to the dogs is the correct option.

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Answer:

Step-by-step explanation:

13/40 it can not be simplified any further.

Answer:

Step-by-step explanation:

The shorter sides of the porch can be found by subtracting 2.5m from 3m to get .5m; the longer sides are found by looking at the opposite end of the tent at the rectangle with a 1 inside of it. That 1 indicates the length of the rectangle, which is the same for the porch's length. That means that the perimeter is .5+1+.5+1 which is 3m total.

Answer:

Step-by-step explanation:

A scientist is working with 12 meters of gold wire. How long is the wire in millimeters?

12 meters = 12000 mm

(1m = 1000 mm)

12 * 1000 = 12000

Answer:

12, 4, 4/3

Step-by-step explanation:

The pattern is that its 1/3 the previous term...

Answer:

12, 4, 4/3

Step-by-step explanation:

multiply the previous term by 1/3 to get the next term.

7h-15h+40=-72

40+72=15h-7h

112=8h

h=14

Answer:

a) x and y are not inversely proportional.

b) x and y are inversely proportional.

The value of k is: k=30

Step-by-step explanation:

We need to find if x and y are inversely proportional

If x and y are inversely proportional we will have: \(k=yx\)

a)

x      y       k=yx

3      8        24

4      6         24

5      4.8      24

5.5    4        22

As for all values of y and x, k is not constant so, x and y are not inversely proportional.

b)

x        y            k=yx

0.1    300        30

0.5     60         30

75       0.4       30

100      0.3      30

As for all values of y and x, k is constant so, x and y are inversely proportional.

The value of k is: k=30

Answer:

x = 25

Step-by-step explanation:

Answer:

x= 25

Step-by-step explanation:

Add 2 given sides then subtract 180

Answer:

50.27 in

Step-by-step explanation:

Answer:

=1.25

hence is the answer which lies on the number line.

Step-by-step explanation:

=3/8+7/8

=0.375+0.875

=1.25

Answer:

If you mean 0 + (-1) then it's -1

Answer:

5

Step-by-step explanation:

looking at the congruency statement, we can tell A and D are equal

so we set up the equation that way: 10x=50

divide by 10 on both sides: x=5

Answer:

hypotenuse = 4.24

Step-by-step explanation:

sin θ = opposite / hypotenuse

sin 45 = 3\(\sqrt{2}\)/ hypotenuse

0.707 = 3\(\sqrt{2}\)/ hypotenuse

hypotenuse = 4.24

Answer: 28x+8y+2

Step-by-step explanation:

Remove parentheses: -2(14x-4y-1)

Solution: 28x+8y+2

Answer:

28x+8y+2

Step-by-step explanation:

The probability that the alleged father was not the father is: 0.024, or 2.4% and The probability that the alleged father could be the father is: 0.953, or 95.3%.

To calculate the probability that the alleged father was not the father, we first need to calculate the z-score for a pregnancy length of 240 days and for a pregnancy length of 306 days. The z-score formula is:

where x is the pregnancy length, mu is the mean pregnancy length, and sigma is the standard deviation of pregnancy length.

For a pregnancy length of 240 days, the z-score is:

For a pregnancy length of 306 days, the z-score is:

To calculate the probability that the alleged father was not the father, we need to find the area under the normal distribution curve to the left of the z-score for a pregnancy length of 240 days and to the right of the z-score for a pregnancy length of 306 days, and then add these probabilities together. Using a standard normal distribution table or calculator, we find that the probability to the left of z = -3.08 is approximately 0.001, and the probability to the right of z = 2.00 is approximately 0.023. Therefore, the probability that the alleged father was not the father is:

To calculate the probability that the alleged father could be the father, we need to find the area under the normal distribution curve between the z-scores for a pregnancy length of 240 days and a pregnancy length of 306 days. Using a standard normal distribution table or calculator, we find that the probability between z = -3.08 and z = 2.00 is approximately 0.953. Therefore, the probability that the alleged father could be the father is:

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Answer:

\(2(x - 5)\)

Step-by-step explanation:

\(2x - 10\)

\( \frac{2x}{2} - \frac{10}{2} \)

\(2(x - 5)\)

Answer:

59.49

Step-by-step explanation:

total number of students who don like mountain+don like beach =56+38+94=188

total number of students=92+66+158=316

probability percentage =(total no. of favorable events/total number of events) x 100

=188/316 x 100

=59.49 ~ 59.5%

Answer:

B

Step-by-step explanation:

I- are you on a test? If yes then i rlly cant help you.

JK I LIED IGHT SO ITS

Answer:

y = 52 hot dogs

Step-by-step explanation:

y = 3x + 10

if x = 14,

y = 3x14 + 10

y = 52

Answer:

y = 5x + (35)  ?

Step-by-step explanation:

Answer:

4 - show that corresponding angles are congruent

Step-by-step explanation:

I believe this is the answer you're looking for

To find the rate of change of y with respect to time t, we need to take the derivative of the function y = 500(1-0.2)^t with respect to t:

dy/dt = 500*(-0.2)*(1-0.2)^(t-1)

Simplifying this expression, we get:

dy/dt = -100(0.8)^t

Therefore, the rate of change of y with respect to t is given by -100(0.8)^t. This means that the rate of change of y decreases exponentially over time, and approaches zero as t becomes large.

Yes, the test in an "if" function must evaluate to either a True or a False value.

An "if" function, also known as a conditional statement, is used to perform specific actions based on whether a certain condition is met or not. The test or condition within the "if" function needs to be evaluated as either True or False in order for the program to decide which action to execute. If the test evaluates to True, the program will perform the action within the "if" block, and if it evaluates to False, it will either execute the action in the "else" block (if present) or simply skip the "if" block.

When using an "if" function in programming, it is essential for the test or condition within the statement to result in a boolean value, which is either True or False. This is because the program needs to determine whether the condition is met or not, so it can decide which set of actions to execute. If the condition evaluates to True, the code within the "if" block will be executed, while if it evaluates to False, the code within the "else" block (if present) will be executed, or the "if" block will be skipped altogether.

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A unit rate's component is always 1. To find the unit rate, divide the fraction by the fraction such that the denominator is equal to one.

The meaning of math units:

Of mathematics, a unit can be thought of as the right side point in a number or the number one. In this instance, the unit number in the number 6713 is 3. A unit is also a term that may be used to describe the common measurement units.

The dimensions of a unit:

The area of a unit as depicted on the subdivision or annexation map that created the unit is referred to as its size. The lot, tract, or parcel size divided by the number of dwellings is the unit size for two-family and multiple-family homes on a single unit.

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The solution to the given simultaneous equations using Cramer's Rule is:

x = 4/17

y = 0

z = 20/17

To solve the simultaneous equations using Cramer's Rule, we need to set up the matrix equation and calculate determinants. Let's denote the variables as x, y, and z.

The given system of equations can be represented in matrix form as:

| 1  5  2 |   | x |   | x |

|          | * |   | = |   |

| 2  4 20 |   | y |   | x |

|          |     |   | = |   |

| 4  2 10 |   | z |   | x |

To solve for the variables x, y, and z, we will use Cramer's Rule, which states that the solution is obtained by dividing the determinant of the coefficient matrix with the determinant of the main matrix.

Step 1: Calculate the determinant of the coefficient matrix (D):

D = | 1  5  2 |

| 2  4 20 |

| 4  2 10 |

D = (1*(410 - 220)) - (5*(210 - 44)) + (2*(22 - 44))

D = (-16) - (40) + (-12)

D = -68

Step 2: Calculate the determinant of the matrix replacing the x-column with the constant terms (Dx):

Dx = | x  5  2 |

| x  4 20 |

| x  2 10 |

Dx = (x*(410 - 220)) - (5*(x10 - 220)) + (2*(x2 - 410))

Dx = (-28x) + (100x) - (76x)

Dx = -4x

Step 3: Calculate the determinant of the matrix replacing the y-column with the constant terms (Dy):

Dy = | 1  x  2 |

| 2  x 20 |

| 4  x 10 |

Dy = (1*(x10 - 220)) - (x*(210 - 44)) + (4*(2x - 410))

Dy = (-40x) + (56x) - (16x)

Dy = 0

Step 4: Calculate the determinant of the matrix replacing the z-column with the constant terms (Dz):

Dz = | 1  5  x |

| 2  4  x |

| 4  2  x |

Dz = (1*(4x - 2x)) - (5*(2x - 4x)) + (x*(22 - 44))

Dz = (2x) - (10x) - (12x)

Dz = -20x

Step 5: Solve for the variables:

x = Dx / D = (-4x) / (-68) = 4/17

y = Dy / D = 0 / (-68) = 0

z = Dz / D = (-20x) / (-68) = 20/17

Therefore, the solution to the given simultaneous equations using Cramer's Rule is:

x = 4/17

y = 0

z = 20/17

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