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»Evaluate (8+t)³ - 6 when t = 2.
The value of the expression is
Practice: Numeric and Algebra

Answer:

m = 3

Step-by-step explanation:

For slope intercept of (y+4)=3(x+2) use the slope-intercept form  

y  =  m x  +  b  to find the slope  m.

By answering the presented question, we may conclude that As a result, the experimental probability of landing on heads is 0.5, or 50%.

A measure of an event's chance is probability. It is represented by a number between 0 and 1, whereby 0 denotes a rare event and 1 denotes an inevitable event. As there are two equally likely outcomes, there is a chance of 0.5 or 50% when flipping a fair coin. head or tail. In the field of mathematics known as probabilistic theory, random events are studied rather than their characteristics. Several scientific fields, such as statistics, business, science, and engineering, makes use of it

Sure, here are the results of flipping a coin 10 times and recording the frequency of each outcome:

Outcome Frequency

Heads 5

Tails 5

We divide the number of times we obtained heads (5) by the total number of coin flips (10) to get the experimental probability of landing on heads:

The experimental chance of landing on heads is equal to the number of heads divided by the total number of coin flips, which is 5/10 = 0.5.

As a result, the experimental likelihood of landing on heads is 0.5, or 50%.

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Daniela's graph of the function describing Monday's storm depicted the storm's temporal evolution, showcasing the changing intensity of rainfall, intermittent spikes, shifting wind direction, and overall duration. Analyzing the graph allowed Daniela to gain insights into the storm's behavior and better understand its impact on the area.

Daniela graphed the function describing Monday's storm and observed several key features. The graph displayed a rapid increase in precipitation during the early morning hours, with rain intensifying steadily until reaching its peak around midday. Afterward, the precipitation gradually subsided, leading to a decline in rainfall amounts throughout the afternoon and evening.

The graph exhibited a distinct pattern of fluctuation, reflecting the storm's dynamic nature. Intermittent spikes in rainfall were visible, indicating periodic bursts of heavy precipitation throughout the day. These spikes were followed by brief periods of relative calm, during which the rainfall decreased temporarily before resuming its intensity.

Furthermore, Daniela noticed a gradual shift in wind direction as the storm progressed. Initially, the wind blew from the east, but it gradually veered towards the south as the storm system moved across the region. The change in wind direction was evident on the graph, showing a gradual rotation of the wind vector over time.

The graph also revealed the storm's duration, spanning from the early morning hours until late evening. The rainfall accumulation steadily increased during the storm's initial phase and reached a maximum before gradually tapering off towards the end of the day.

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Answer: the answer is two :)

Step-by-step explanation:

4x=5+3

4x=8

x= 8/4

x=2

The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230.

Now, WE get;

the probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 1 - P (snowfall)

P (no snowfall) = 1 - 0.230

P (no snowfall) = 0.770

Thus, The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

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Candice grows beets on 66 acres of farmland.

A ratio indicates the number of times one number contains another.

Given that, Candice has 88 acres of farmland and she grows beets on 3/4 of the land.

Candice grows beets on 3/4 of 88 acres of farmland,

3/4 of 88

= 3/4×88

= 66

Hence, Candice grows beets on 66 acres of farmland.

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Step-by-step explanation:

since the sumation of f(x) of a probability is 1

thw probability to win is o.5 and to lose is o.5 so expected value is xf(x

your expected value will b 0.5 multiply by 5 thats is 2.5 thats your expected gain

Point 1 = (6, 8)

Point 2 = (1, 7)

slope = (y2 - y1) / (x2 - x1)

x1 = 6 y1 = 8 x2 = 1 y2 = 7

Substitution

slope = ( 7 - 8) / ( 1 - 6)

Simplification

slope = -1/-5

Result

slope = 1/5

63:

2x3=6

3x5=15

6+15=21

x 3 =…

63

Step-by-step explanation:

Answer:

(p, q) is (2, 5)

Step-by-step explanation:

Given the expression

x^2  + 3x - 10

Factorize;

x^2 + 5x - 2x - 10

x(x+5) - 2(x+5)

(x-2)(x+5)

Comparing with (x + p)(x + 9).

x+2 = x+ p

x-x+2 = p

2 = p

p = 2

Similarly;

x+5 = x+q

x-x+5 = q

5 = q

q=  5

Hence (p, q) is (2, 5)

According to the 90° clockwise rotation, the new coordinate of the quadrilateral D' is (3, -2)

Quadrilateral

Quadrilateral refers a closed shape and a type of polygon that has four sides, four vertices and four angles.

Given,

If quadrilateral ABCD is rotated 90° clockwise about point A and then reflected across the y-axis to create quadrilateral A’B’C’D’.

Here we need to find the coordinate of D'.

In order to find the new coordinates, first we have to identify the current coordinates of the quadrilateral.

While we looking into the graph, we have identify the point of

A (0,0), B(-4, 3), C(1,5) and D(2,3)

Now, we have to use the rule of clockwise 90° rotation, states that to rotate the figure 90 degrees clockwise about a point, every point(x , y) will rotate to (y, -x).

According to this rule, the new coordinates are written as,

A(0,0) = A'(0,0)

B'(-4,3) = B'(-3,-4)

C(1,5) = C'(5, -1)

D(2,3) = D' (3, -2)

Therefore, the new coordinate of D' is (3, -2).

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Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

B

Step-by-step explanation:

a prime polynomial is one which does not factor into 2 binomials.

its only factors are 1 and itself

attempt to factorise the given polynomials

3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )

= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(3x² - 2) ← in factored form

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

3x³ - 2x² + 3x - 4 ( factor the first/second terms

= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored

thus this polynomial is prime

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

4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )

= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term

= (2x + 1)(2x² + 3) ← in factored form

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

4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )

= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(4x² - 3) ← in factored form

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

the only polynomial which does not factorise is

3x³ - 2x² + 3x - 4

Answer:Therefore, the equation of the line with a slope of 9/7 and containing the midpoint of the line segment with endpoints (2, -3) and (-6, 5) is:

y = (9/7)x + 25/7.

Step-by-step explanation:Step 1: Find the midpoint of the line segment.

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Given the endpoints of the line segment as (2, -3) and (-6, 5), we can find the midpoint as follows:

Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)

Midpoint = (-4 / 2, 2 / 2)

Midpoint = (-2, 1)

So, the midpoint of the line segment is (-2, 1).

Step 2: Write the equation of the line using the slope-intercept form.

The slope-intercept form of a line is given by:

y = mx + b

where m is the slope and b is the y-intercept.

Given the slope as 9/7, we have:

y = (9/7)x + b

Step 3: Substitute the coordinates of the midpoint to find the value of b.

Using the coordinates of the midpoint (-2, 1), we can substitute these values into the equation:

1 = (9/7)(-2) + b

1 = -18/7 + b

To find the value of b, we can solve this equation:

1 + 18/7 = b

25/7 = b

Step 4: Write the final equation of the line.

Using the value of b, the equation becomes:

y = (9/7)x + 25/7

The Invertible transformations are (a), (b), (c), (d), (f). The Not invertible transformations are (e).

(a) T is invertible because the matrix representation of T has full rank (3).

(b) T is not invertible because the matrix representation of T has rank 2, which is less than its domain dimension 2.

(c) T is not invertible because the matrix representation of T has determinant 0.

(d) T is not invertible because T maps polynomials of degree 3 to polynomials of degree 2, causing a loss of information and making it impossible to recover the original polynomial.

(e) T is not invertible because different matrices can be mapped to the same polynomial, causing a loss of information and making it impossible to recover the original matrix.

(f) The output is also the identity matrix. Since the identity matrix is invertible and T is a linear transformation, T is invertible as well.

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Answer: Option C) (-1,-4)

Explanation:

For this question we compute f(-1):

Therefore the ordered pair (-1,-4) is a solution to the function f(x)=3x-1.

Answer:

• 90 miles per hour.

• 360 miles

Explanation:

After 1 hour, he has 270 miles left to travel.

After 2 hours, he has 180 miles remaining.

To determine the speed of the train, we find the rate of change.

The speed of the train is 90 miles per hour.

If the train travels 90 miles per hour, and after 1 hour, he has 270 miles to travel:

The distance of the train is:

The four rectangles can be painted with 7 different paints in 840 ways.

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order. For example, the permutation of set A={1,6} is 2, such as {1,6}, {6,1}, there are no other ways to arrange the elements of set A.

The formula for permutattion is;

\(P_r_n = \frac{n!}{(n-r)!} \\\)

where r = 4

n = 7

Substituting the values for n and r

\(P = \frac{7!}{(7-4)!}\)

\(P = \frac{7!}{3!}\)

P = 840 ways.

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Answer:

A, B, E

Step-by-step explanation:

Notice that A, B, and E all maintain their common ratios, while C and D do not.

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define the samoling method Julian uses in his study.

In Random sampling individual is chosen entirely by chance and each member of the population has an equal chance, or probability, of being selected. One way of obtaining a random sample is to give each individual in a population a number, and then use a table of random numbers to decide which individuals to include.

Since Julian uses a random number generator, hence, the sampling method is used is Random Sampling Method.

(a) Random Sampling Method

STEP 2: Find the median

The median of a boxplot is given as shown below:

The median is given as the point in the middle of the box with a straight vertical line, hence the median of the given box plot is 60.

Median = 60

STEP 3: Find the interquartile Range

The Interquartile range is given as the difference between Q1 and Q3, this is calculated as:

Hence, the interquartile Range is given as 30.

Interquartile Range = 30

STEP 4: Determine if the customer with app usage of 120 minutes is an outlier

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. The number within the box plot are not regarded as outlier. Since 120 is within the box plot, therefore it is not an outlier.

Therefore, the customer is not considered as an outlier.

Answer:

(2, 4)

Step-by-step explanation:

All you have to do is hop up 10 units on the grid from point P. 10 units up from -6 is 4. Therefore, your answer is (2, 4).

I hope this helps! Have a lovely day!! :)

Answer:

i belive its c

Step-by-step explanation:

you are shifting up 5 squares so you arrive at (2,4)

The sets of ordered pairs that represents a function are {(10,5), (-10,-5), (5,10), (-5,-10)} and {(-6,-1), (13,8), (1,6), (1,-10)}

Ordered pairs are written as a coordinate (x, y). For the given x coordinate points to be a function, the value of its x coordinates (domain) must not be repeated.

From the given ordered pairs, {(10,5), (10,-5), (5,10), (5,-10)} and {(3,5), (-17,-5), (3,-5), (-17,5)} are not functions since there is repetition in their domains.

Hence the sets of ordered pairs that represents a function are {(10,5), (-10,-5), (5,10), (-5,-10)} and {(-6,-1), (13,8), (1,6), (1,-10)}

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Answer:

Step-by-step explanation:

Given Equation :

\(y = \frac{1}{2} x - 3\)

Which is in slope intercept form :

\(y = mx + b\)

Where :

m = slope

b = y-intercept.

Thus , in the given Equation , the y-intercept is -3

Answer:

He will shoot 540

Step-by-step explanation:

I got this answer by dividing 359 by 4 to get how many he gets in 1 hour which is 90 then I multiplied it by 6 and I got 540

Hope I helped

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

The statement "In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality" best describes the process used to solve the equations.

In the equation -3x + 6 = 21, to isolate the variable x, we subtract 6 from both sides of the equation, which yields -3x = 15. Then, we divide both sides by -3 to solve for x, resulting in x = -5. This process is applicable to equations where we aim to find the exact value of the variable.

Similarly, in the inequality -3x + 6 < 21, we want to find the range of values for x that satisfy the inequality. By subtracting 6 from both sides, we obtain -3x < 15.

However, since we performed the same operation on both sides of the inequality, the direction of the inequality sign remains the same.

Thus, the correct inequality is -3x < 15. To isolate x, we divide both sides by -3. However, since we reversed the inequality sign, we must also reverse it again, resulting in x > -5.

This process allows us to determine the range of values for x that satisfy the inequality.

Therefore, the statement accurately describes the process for solving both the equation and the inequality, highlighting the significance of reversing the inequality sign when manipulating inequalities.

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Answer:

its a such a hard questions i think you should ask to you're teacher ?