3x divided by -8 = -21 divided by 4. The answer is 14. I'm trying =g to figure out why it was not a negative 14

Answer: Approximately 34.17%.

Step-by-step explanation: Let's divide 41 by 120. Doing so, we get 0.3466666 looping forever. We can simplify that to .3417, and then turn that into a percentage giving us 34.17%

The meaning of the parameters of the sine function are given as follows:

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)) + D.

For which the parameters are given as follows:

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Answer:

it should be 40 in.

Step-by-step explanation:

because you have to use pythagorean theorem which is A square plus B square equals C square

Hope it helps.

Answer: You can find the absolute value of a number by just writing that number in positive form.

Step-by-step explanation:

The absolute value of 1/2 is 1/2, and The absolute value of 2 is 2. The absolute value of -3 would be 3 because absolute value means the

Answer:

Step-by-step explanation:

Answer:

oop

Step-by-step explanation:

Step-by-step explanation:

Standard form:

Vertex form:

Identity used:

6 - 7)

Standard to vertex form conversion by completing the square

y = x² - 3x + 16

  = x² - 2*1*3/2 + (3/2)² - (3/2)² + 16

  = (x - 3/2)² - 9/4 + 16 =

  = (x - 1.5)² + 13.75

8 - 9)

Same as above

y = x² - 2x + 3

  = x² - 2*1*x + 1² - 1² + 3

  = (x - 1)² + 2

10 - 12)

Vertex to standard for conversion by opening parenthesis and simplification

y = (x - 11)² + 15

  = x² - 22x + 121 + 15

  = x² - 22x + 136

13-15)

Same as above

y = (x - 4)² + 11

  = x² - 8x + 16 + 11

  = x² = 8x + 27

Answer:

The mean of the random variable is 0.

The variance of the random variable is \(\frac{3}{2}\)

Step-by-step explanation:

We are given the following probability distribution:

\(P(X = -2) = \frac{1}{8}\)

\(P(X = -1) = \frac{2}{8}\)

\(P(X = 0) = \frac{2}{8}\)

\(P(X = 1) = \frac{2}{8}\)

\(P(X = 2) = \frac{1}{8}\)

Mean:

Sum of each value multiplied by its probabilities. So

\(E(X) = -2\frac{1}{8} -1\frac{2}{8} + 0\frac{2}{8} + 1\frac{2}{8} + 2\frac{1}{8} = \frac{-2 -1 0 + 1 + 2}{8} = \frac{0}{8} = 0\)

The mean of the random variable is 0.

Variance:

Sum of the difference squared between each value and the mean, multiplied by its probabilities. So

\(V(X) = \frac{1}{8}(-2-0)^2 +\frac{2}{8}(-1-0)^2 + \frac{2}{8}(0-0)^2 + \frac{2}{8}(1-0)^2 + \frac{1}{8}(2-0)^2 = \frac{4 + 2 + 0 + 2 + 4} = \frac{12}{8} = \frac{3}{2}\)

The variance of the random variable is \(\frac{3}{2}\)

The fraction of the students in the class are women is  one-third (1/3)

If there are 16 men in the class of 24 students, we can find the number of women by subtracting the number of men from the total number of students:

Number of women = Total number of students - Number of men

Number of women = 24 - 16

Number of women = 8

Therefore, there are 8 women in the class.

To find the fraction of students in the class who are women, we divide the number of women by the total number of students:

Fraction of students who are women = Number of women / Total number of students

Fraction of students who are women = 8 / 24

Fraction of students who are women = 1/3

So, one-third (1/3) of the students in the class are women.

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Probability that exactly 10 flights arrive on time is 53.33%.

Given that,

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.

Recently, Southwest Air had the best rate with 80% of its flights arriving on time.

Total number flights in sample = 15

Probability that exactly 10 flights arrive on time is,

P = 10/15 × 80%

  = 0.5333

  = 53.33%

Hence the required probability is 53.33%.

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The x-intercepts of the graph of f(x) are x = 3/2 and x = 1,the Vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point, The vertex is at (5/4, 3/8). This is the minimum point of the graph.

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x^2 - 5x + 3 = 0

To factor this quadratic equation, we look for two numbers that multiply to give 3 (the coefficient of the constant term) and add up to -5 (the coefficient of the linear term). These numbers are -3 and -1.

2x^2 - 3x - 2x + 3 = 0

x(2x - 3) - 1(2x - 3) = 0

(2x - 3)(x - 1) = 0

Setting each factor equal to zero, we get:

2x - 3 = 0   -->   x = 3/2

x - 1 = 0   -->   x = 1

Therefore, the x-intercepts of the graph of f(x) are x = 3/2 and x = 1.

Part B: To determine whether the vertex of the graph of f(x) is a maximum or a minimum, we look at the coefficient of the x^2 term, which is positive (2 in this case). A positive coefficient indicates that the parabola opens upwards, so the vertex will be a minimum.

To find the coordinates of the vertex, we can use the formula x = -b/2a. In the equation f(x) = 2x^2 - 5x + 3, the coefficient of the x term is -5, and the coefficient of the x^2 term is 2.

x = -(-5) / (2*2) = 5/4

Substituting this value of x back into the equation, we can find the y-coordinate:

f(5/4) = 2(5/4)^2 - 5(5/4) + 3 = 25/8 - 25/4 + 3 = 3/8

Therefore, the vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point.

Part C: To graph f(x), we can use the information obtained in Part A and Part B.

- The x-intercepts are x = 3/2 and x = 1. These are the points where the graph intersects the x-axis.

- The vertex is at (5/4, 3/8). This is the minimum point of the graph.

We can plot these points on a coordinate plane and draw a smooth curve passing through the x-intercepts and the vertex. Since the coefficient of the x^2 term is positive, the parabola opens upwards, and the graph will be concave up.

Additionally, we can consider the symmetry of the graph. Since the coefficient of the linear term is -5, the line of symmetry is given by x = -(-5) / (2*2) = 5/4, which is the x-coordinate of the vertex. The graph will be symmetric with respect to this line.

By connecting the plotted points and sketching the curve smoothly, we can accurately graph the function f(x).

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As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.

Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:

s + (r + 75) = (s + r) + 75

The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.

Let's take an example to illustrate this:

Suppose s = 10 and r = 20.

Using the original expression:

s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105

Using the expression with regrouped terms:

(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105

As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

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A, the relation is not a function

in order for something to be a function, x (the input) can't repeat itself more than once

The DJ will charge them $575.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given that,

Booking fee for DJ = $350

Rate for an hour = $45

Let x be the number of hours DJ is lasting.

Expression to find the total charge for x hours is 350 + 45x.

The Martins want to book the DJ for a party that will last 5 hours.

Cost for the DJ party for Martins = 350 + (45 × 5) = $575

Hence the cost for the DJ party booked by Martins is $575.

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The values of f(4) , f(0) and f(-5) are 16/7, -12 and -7/11 respectively.

We are given the function:-

f(x) = (x + 12)/(2x - 1)

We have to find the values of  f(4) , f(0) and f(-5).

Putting x = 4 in the given function, we can write,

f(4) = (4+12)/(2*4-1) = 16/7

Putting x = 0 in the given function, we can write,

f(0) = (0 + 12)/(2*0 - 1) = 12/(-1) = -12

Putting x = -5 in the given function, we can write,

f(-5) = (-5 + 12)/(2*(-5) - 1) = 7/(-10-1) = 7/(-11) = -7/11

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Answer:

1

Step-by-step explanation:

Hope this helps! Have a great day ahead. Please tell me if I'm wrong :) Stay safe <3

Answer:

1

Step-by-step explanation:

2/3 + 1/12 + 1/4

First, we need a common denominator of 12

2/3 *4/4 =8/12

1/12

1/4 *3/3 = 3/12

8/12 + 1/12 + 3/12

add

12/12

1

Answer:

(3/5 times 5/6 = 1/2)

Step-by-step explanation:

Answer:c, the answer is c

Step-by-step explanation:

Answer:

0 apples

Step-by-step explanation:

Answer:

2nd answer option : 6^(13/4)

Step-by-step explanation:

what are we doing, when 2 equal base terms with exponents are multiplied ? we add the exponents !

this is like 3⁴×3³ = 3⁷

because

3×3×3×3 × 3×3×3 = 3×3×3×3×3×3×3 = 3⁷

it is that simple.

and that concept is also valid for any kind of number as exponent. even for fractions and so on.

so,

6^3 × 6^(1/4) = 6^(3 + 1/4) = 6^(12/4 + 1/4) = 6^(13/4)

Answer:

y = -1/3x + 25/3

Step-by-step explanation:

We are given that a line has a slope of -1/3, and passes through the point (4,7).

We want to write the equation of this line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y-intercept.

Since we are already given the slope, we can immediately substitute it into the formula.

Replace m in y=mx+b with -1/3.

y = -1/3x + b

Now, we need to find b.

As the equation passes through (4,7), we can use its values to help solve for b.

Substitute 4 as x and 7 as y.

7 = -1/3(4) + b

Multiply

7 = -4/3 + b

Add 4/3 to both sides

25/3 = b

Substitute 25/3 as b.

y = -1/3x + 25/3

Answer:

It would be 1.073 you can also rojnd ot to 1.07

Answer:

$1.07 per pound

Step-by-step explanation:

$3.22/3lb is about $1.07 per lb.

to solve for m

distribute into parentheses

176 = -16 - 24m

get m on one side

176 + 16 = -24m

192 = -24m

divide by -24

-8 = m

m = -8

Answer:

-x+y

Step-by-step explanation:

0 - (x-y)

0 - x +y

-x + y

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

The correct answer is Part 1: The 99% confidence interval for the population proportion is approximately (0.4716, 0.5416).Part 2: With 99% confidence, the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

Part 1:

To construct a 99% confidence interval for the population proportion, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

where the margin of error is determined by the level of confidence and the standard error.

First, let's calculate the sample proportion:

Sample Proportion = (Number of adults who say they have started paying bills online) / (Total number of adults surveyed)

Sample Proportion = 1436 / 2837 ≈ 0.5066 (rounded to four decimal places)

Next, we need to calculate the standard statistics error, which is the measure of the variability in the sample proportion:

Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)

Standard Error = sqrt((0.5066 * (1 - 0.5066)) / 2837) ≈ 0.0136 (rounded to four decimal places)

Now, we can calculate the margin of error:

Margin of Error = Critical Value * Standard Error

The critical value is based on the desired confidence level. For a 99% confidence level, the critical value is approximately 2.576 (obtained from a standard normal distribution table).

Margin of Error = 2.576 * 0.0136 ≈ 0.0350 (rounded to four decimal places)

Finally, we can construct the confidence interval:

Confidence Interval = Sample Proportion ± Margin of Error

Confidence Interval = 0.5066 ± 0.0350

Confidence Interval ≈ (0.4716, 0.5416) (rounded to four decimal places)

Part 2:

The correct interpretation is:

C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

This means that we are 99% confident that the true proportion of adults who have started paying bills online falls within the range of 0.4716 to 0.5416. The survey results suggest that approximately 47.16% to 54.16% of the population of adults have started paying bills online in the last year.

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Answer:

A. -(3/10)x + 1 = 10

B. x = -30

Step-by-step explanation:

A. first, we know that we are multiplying a number (x) by -3/10 because that's the fraction of the number we are taking. Then, we add one to that number. After doing so, we are told that we get 10. Thus, -(3/10)x + 1 = 10

B. in solving this, first we subtract 1 from both sides, to get

-(3/10)x = 9

then, we divide both sides by -3/10 to get

x = -30

Answer: f(x)=2^x+5

Step-by-step explanation:

math

equations so that the circle is positively oriented in the -plane and starts at  (0, 5, 0)

y = 5 cos(t)

z = 5 sin(t) where t varies from 0 to 2π

The circle of radius 5 in the yz-plane can be described as the set of all points (0, y, z) that are at a distance of 5 from the origin. Using the parametric equation of a circle, we can write:

y = 5 cos(t)

z = 5 sin(t)

where t is a parameter that varies from 0 to 2π. This describes a circle of radius 5 in the yz-plane, centered at the origin, and positively oriented in the counterclockwise direction when viewed from the positive x-axis.

To shift the circle so that it starts at the point (0, 5, 0), we can add 5 to the y-coordinate, giving:

y = 5 + 5 cos(t)

z = 5 sin(t)

So the parametric equations for the circle of radius 5 in the yz-plane, starting at (0, 5, 0) and positively oriented in the counterclockwise direction, are:

x = 0

y = 5 + 5 cos(t)

z = 5 sin(t)

where t varies from 0 to 2π.

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