MATHEMATICS COLLEGE

Solve for x. Write both solutions, separated
by a comma.
5x2 + 2x - 7 = 0

Answers

Answer 1
Answer:

Answer:

it equals 1

Step-by-step explanation:

(5)(2)+2x−7=5

Step 1: Simplify both sides of the equation.

(5)(2)+2x−7=5

10+2x+−7=5

(2x)+(10+−7)=5(Combine Like Terms)

2x+3=5

2x+3=5

Step 2: Subtract 3 from both sides.

2x+3−3=5−3

2x=2

Step 3: Divide both sides by 2.

2x

2

=

2

2

x=1

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The floor of a shed given on the right has an area of 44 square feet . The floor is in the shape of a rectangle whose length is 3 less than twice the width. Find the length and width of the floor of the shed.

Answers

Answer:

The length and width of the floor of the shed are 8 feet and 5.5 feet, respectively.

Step-by-step explanation:

Given that the shape of the shed is a rectangle, the expression for the area is:

A = w \cdot l

Where w and l are the width and length of the shed, measured in feet. In addition, the statement shows that l = 2\cdot w - 3\,ft. Then, the equation of area is expanded by replacing length:

A = w\cdot (2\cdot w - 3)

A = 2\cdot w^(2) - 3\cdot w

If A = 44\,ft^(2), then, a second-order polynomial is formed:

2\cdot w^(2)-3\cdot w - 44 = 0

The roots of this equation are found via General Equation for Second-Order Polynomials:

w_(1) = (11)/(2)\,ft and w_(2) = -4\,ft

Only the first roots is a physically reasonable solution. Then, the length of the shed is:

l = 2\cdot \left((11)/(2)\,ft \right)-3\,ft

l = 8\,ft

The length and width of the floor of the shed are 8 feet and 5.5 feet, respectively.

Correlation is a measure of the direction and strength of the linear (straight-line) association between two quantitative variables. The analysis of data from a study found that the scatter plot between two variables, x and y, appeared to show a straight-line relationship and the correlation (r) was calculated to be -0.84. This tells us that a. there is little reason to believe that the two variables have a linear association relationship
b. all of the data values for the two variables lie on a straight line.
c. there is a strong linear relationship between the two variables with larger values of x tending to be associated with larger values of the y variable.
d. there is a strong linear relationship between x and y with smaller x values tending to be associated with larger values of the y variable.
e. there is a weak linear relationship between x and y with smaller x values tending to be associated with smaller values of the y variable

Answers

Answer:

D

Step-by-step explanation:

The correlation coefficient r=-0.84 denotes that there is inverse relationship between x and y. It means that as the x values increase the y values decrease whereas as the x values decreases the y-values increases. Also, r=-0.84 denotes the strong relationship between  x and y because it is close to 1. So, r=-0.84 denotes that there is strong linear relationship between x and y with smaller x values tending to be associated with larger y values.

Final answer:

The correlation coefficient of -0.84 indicates a strong inverse relationship between x and y, with smaller x values generally corresponding to larger y values.

Explanation:

Based on the given correlation coefficient of -0.84, the correct answer is option d. This option states that there is a strong linear relationship between variables x and y, with smaller x values tending to be associated with larger values of the y variable.

A correlation coefficient communicates both the strength and direction of a linear relationship between two variables. In this context, a coefficient of -0.84 indicates a strong relationship (values close to -1 or 1 denote strong relationships), and because the value is negative, it reflects an inverse or negative correlation, meaning y tends to decrease as x increases, and vice versa.

Learn more about Correlation Coefficient here:

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In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is . Suppose six random games of tic-tac-toe are played. What is the probability that at least one of them will end in a draw?

Answers

Completed question:

In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is 0.127. Suppose six random games of tic-tac-toe are played. What is the probability that at least one of them will end in a draw?

Answer:

0.557

Step-by-step explanation:

For each game, the probability of not end in a draw is 1 - 0.127 = 0.873. Thus, because each game is independent of each other, the probability of all of them not end in a draw is the multiplication of the probability of each one:

0.873x0.873x0.873x...x0.873 = 0.873⁶ = 0.443

Thus, the probability that at least one of them end in a draw is the total probability (1) less the probability that none of them en in a draw:

1 - 0.443

0.557

Find the mean of the binomial random variable. Round to two decimal places when necessary. According to a college survey, 22% of all students work full time. Find the mean for the random variable X, the number of students who work full time in samples of size 16. Group of answer choices 2.75 4 3.52 0.22

Answers

Answer:

3.52

Step-by-step explanation:

Calculation to Find the mean for the random variable X

Using this formula

Mean(μ) =(n*p)

Where,

n=16

p=22% or 0.22

Let plug in the formula

Mean(μ)=16×0.22

Mean(μ)=3.52

Therefore the mean for the random variable X will be 3.52

An art teacher makes a batch of purple paint by mixing 7/8 cup blue paint with 7/8 cup red paint. If she mixes 21 batches, how many cups of purple paint will she have

Answers

She will have 1/2 if purple paint. I hoped I helped

What’s the correct answer for this?

Answers

Answer:

If I had to guess

Step-by-step explanation:

I would say 11 degree or 90 degree.

Sorry if I am wrong. :_;

Answer:90 degrees

Step-by-step explanation:
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