A. 3x-2y=-12
B.2x-3y=-12
C.3x+2y=12
D.3x+3y=-12

The relationship between the distribution values and the t-distribution as per the question with relation to degrees of freedom, the answer will be as follows:

1. When the sample size is small or the population standard deviation is unknown, the t-distribution is a probability distribution that is utilized in hypothesis testing and confidence interval estimates. The degrees of freedom (df), which is a gauge of sample size, determine the form of the t-distribution.

2. The t-distribution gets increasingly symmetric as df rises and becomes closer to a normal distribution. In other words, the t-distribution becomes more like the regular normal distribution and less dependent on the sample standard deviation as the sample size grows. This is so that the population standard deviation may be estimated with greater accuracy thanks to the increased sample size.

3. Since they have thicker tails than the normal distribution, t-distributions tend to be flatter and more dispersed. This results in a broader distribution since there is a larger likelihood that the sample may contain extreme values.

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Note that where the above conditions are given, the theoretical probability, P(green), is 25%, and the experimental probability is 17.5%. (Option C)

The theoretical probability of pulling a green marble form th back =

Number of green marbles/total number of marbles in the bag

= 10/40 = 25%

The experimental probablity is:

frequency of green marbles pulled / total number of trials

= 7/40 = 17.5

Thus, the theoretical probability is 25% while the experimental probability   is 17.5% (Option C)

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Answer : 5

Refer to the attachment

I hope this helps you...

The probability that the motorist must stop at both signals is 0.2, at the first signal but not the second is 0.3, and at exactly one signal is 0.7.

The probability that the motorist must stop at both signals is calculated by multiplying the probability of stopping at the first signal (0.4) and the probability of stopping at the second signal (0.5). This gives a probability of 0.2 that the motorist must stop at both signals. The probability of stopping at the first signal but not the second one is calculated by subtracting the probability of stopping at the second signal (0.5) from the probability of stopping at the first signal (0.4). This gives a probability of 0.3 that the motorist must stop at the first signal but not the second one. The probability that the motorist must stop at exactly one signal is calculated by subtracting the probability of stopping at both signals (0.2) from the probability of stopping at at least one of the two signals (0.7). This gives a probability of 0.7 that the motorist must stop at exactly one signal.

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Answer:

5/8 * 100 = 62.5 %

Answer:

c is 2,7

Step-by-step explanation:

Answer:

\(6 \frac{350}{1000}\) Is the answer, if you want it simplified then, \(6 \frac{7}{20}\)

Step-by-step explanation:

Answer:

\({ \sf{ \underline{answer \: is \: \: 6 \frac{7}{20} }}}\)

Step-by-step explanation:

Hope you got the idea in previous answer.

\(6.350 = \frac{6350}{1000} \)

reduce the fraction by 10:

\( = \frac{6350 \div 10}{1000 \div 10} \\ \\ = \frac{635}{100} \)

then reduce it by 5:

\( = \frac{635 \div 5}{100 \div 5} \\ \\ = \frac{127}{20} \)

in mixed fraction mode:

\( = 6 \frac{7}{20} \)

The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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The distance between A and B is √40.

We know the coordinates of the two points A and B.

We will use the distance formula to find the distance between A and B.

Distance Formula:

d = √(x2 - x1)² + (y2 - y1)²,

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Given, the coordinates of points A and B as

A = (-7, 9)B = (-5, 3)

Using the distance formula,

d = √(x2 - x1)² + (y2 - y1)²

Substituting the values of x1, x2, y1, y2,

d = √(-5 - (-7))² + (3 - 9)²

= √2² + (-6)²

= √4 + 36

= √40

Therefore, the distance between A and B is √40, which is approximately equal to 6.3 (rounded to the nearest tenth).

d = √40 ≈ 6.3

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The equation of the vertical asymptote is:

x = 12

The correct option is the third one.

The vertical asymptote of the graph is at the line where the graph tends at positive infinite and negative infinite at the same time.

You can see that it happens in the right side of the graph.

You can see that it is a vertical asymptote, so it will be represented by a vertical line, these are of the form x =a.

By looking at the graph, you can see that it is located at x = 12, so that is the equation of the vertical line. The correct option is the third one.

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The probability that a household views television more than 6 hours is approximately 0.0668.

Given that the mean daily viewing time of television is μ = hours per household and the standard deviation is σ = hours per household.

We need to use the normal probability distribution to answer the following questions about daily television viewing per household.

The probability of a household viewing television more than 6 hours can be found using the standard normal distribution as follows:

Z = (x - μ)/σ

We need to find P(x > 6)P(x > 6) = P(Z > (6 - μ)/σ) = P(Z > (6 - μ)/σ) = P(Z > (6 - μ)/σ) = P(Z > (6 - μ)/σ)

The mean daily viewing time of television is given as μ = 4.8 hours per household, and the standard deviation is given as σ = 0.8 hours per household.

The standardized value of 6 is:

Z = (6 - 4.8) / 0.8 = 1.5

Thus, we need to find the area under the standard normal curve to the right of 1.5 using the standard normal table or technology.P(Z > 1.5) = 0.0668

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Answer:

The equation of a line passing through the points (-1, 1) and (2, -4) is

 5x + 3y + 2=0

0 .2 x + 1.2 = 0 .5 x​

collecting like terms, we have :

0. 5 x - 0 . 2 x = 1 . 2

0. 3 x = 1. 2

Divide both sides , we have:

x = 1 . 2 / 0. 3

x = 4

Answer: multiply both sides by 2

Answer:

Step-by-step explanation:

it is A - 18ab3

Answer:

question 1. A question 2. C

Answer:

-5.49

Good Luck!!!

CALCULATE THE AREA

=LENGTH X BREADTH

=6M X 1M

\(6 {m}^{2} \)

NOW CHANGE THE METRES TO MILLIMETRES

=1000MM=1M

SO,IF 1M=1000MM

THEN 6M=MORE

IF MORE LESS WILL DIVIDE

GIVING YOU

\( \frac{6}{1} \times 1000mm\)

\(6000mm\)

Answer: D

Step-by-step explanation:

A line segment of length 8.6 cm, when bisected the length of each half is  4.3cm.

Draw a straight line and mark two points A and B that are 8.6 cm apart.

With A as centre and radius more than half of AB, draw arcs on both sides of AB.

With the same radius and B as centre, draw arcs on the both sides of AB, cutting the previous two arcs.

Label the intersection points of the two arcs as E and F.

Draw a straight line connecting points E and F. This is the line of symmetry and bisects the line segment AB.

The length of each part of the bisected line segment is equal. To measure the length of each part, we can use a ruler to measure the distance from point A to the intersection point C and from point B to the intersection point D. Each of these distances should be approximately 4.3 cm, which is half the length of the original segment.

we get: AC=BC=4.3 cm.

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____The given question is incomplete, the complete question is given below:

Draw a line segment of length 8.6 cm. Bisect it and measure the length of each part.  

The solution of the inequality is:

-9 ≤ x < 14

And the graph can be seen on the image at the end.

Here we want to solve the inequality:

-8 ≤ x + 1 < 15

To solve this, we need to isolate the variable, if we subtract 1 un all the parts we will get.

-8 - 1 ≤ x< 15 - 1

-9 ≤ x < 14

To graph this we need to draw a closed circle at x = -9 and a line that extends to the right, until it ends at an open cirlce at x = 14.

The graph is below.

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Answer:

Step-by-step explanation:

(5d^4 - 8)^2

This is a perfect square.

Note an exponent multiplied by an exponent is the addition of them so

d^4 X d^4 = d^8

or

(d^4)(d^4)=d^8

To measure length ABAC=3.5 cm, open the compass,=3.5cm is a positive value because. Hence, BD will be higher than BC. Cut an arc on ray BX using point B as the center. Let D be where the arc crosses BX.

A point where two lines meet produces an angle.

The breadth of the "opening" between these two rays is referred to as a "angle". It is depicted by the figure.

Radians, a unit of circularity or rotation, and degrees are two common units used to describe angles.

By connecting two rays at their ends, one can make an angle in geometry. The sides or limbs of the angle are what are meant by these rays.

The limbs and the vertex are the two main parts of an angle.

The common terminal of the two beams is the shared vertex.

According to our question-

draw perpendicular bisector of CD

A where perpendicular bisector intersects BD

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Answer:

2x-10

Step-by-step explanation:

2(x) - 2(5) = 2x - 10

Answer:

x>2

Step-by-step explanation:

0<7x-14

-7x<-14

x>2

hope that's right

Answer:

x > 2

Step-by-step explanation:

-x < -x+7(x-2)

0 < 7(x-2)

0 < x-2

x > 2

(edited)

The angle vector 'a' makes with the positive x-axis is 90° to 180°.

A vector is a quantity that has magnitude as well as direction one such example of this is velocity where we describe speed and direction also.

Given a vector a with two components one in the x direction and another one in the y direction.

The x component of the vector ax < 0 which is on the 2nd quadrant and the y component of the vector is ay > 0 which we join to the tail of the component ax.

∴ The angle it makes with the positive x-axis is 90° to 180° as it is on the second quadrant.

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You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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The terms in which value of x when substituted leaves final value of p(x) = "0".

Here, x - 2 is factor. So value of x is 2.  

Substituting value of x we get,

p(x) = x3 - 3x + 5a

p(2) = 2*3 - 3(2) + 5a

0+ 8-6 + 5a

-2 = 5a

a= -0.4

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Answer:

v=31

Step-by-step explanation:

The lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.

The mid-range or mid-extreme is the arithmetic mean of the highest and minimum values of the data set and is used in statistics as a measure of a sample's central tendency.

The difference between the greatest and minimum values, which is a measure of statistical dispersion, is strongly related to the mid-range.

The two measurements are complementary in that one can determine the sample's maximum and minimum values by knowing the range and the midpoint.

Therefore, the lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.

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