solve as a fraction -2 1/3 - (-5) = ?

A quadratic equation with opposite solutions can be found by multiplying a variable by its negative value. Specifically, if we start with a quadratic equation of the form:

ax^2 + bx + c = 0

We can find an equation with opposite solutions by multiplying either a or c by -1. For example, if we multiply c by -1, we get:

ax^2 + bx - c = 0

This equation will have opposite solutions if the discriminant, b^2 - 4ac, is negative. This is because the solutions of a quadratic equation are given by the formula:

x = (-b ± sqrt(b^2 - 4ac)) / (2a)

Thus, if the discriminant is negative, then the square root term will be imaginary, which means that the solutions will be complex conjugates of each other.

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Answer:

Hello... im exhausted but ill solve it i guess

To solve for x in the equation 2/5 + x = 1, we can follow these steps:

Subtract 2/5 from both sides of the equation to isolate the x term:

2/5 + x - 2/5 = 1 - 2/5

This simplifies to:

x = 1 - 2/5

Find a common denominator for 1 and 2/5, which is 5:

x = 5/5 - 2/5

Subtract 2/5 from 5/5:

x = 3/5

So, the solution for x in the given equation is x = 3/5.

Answer:

2

Step-by-step explanation:

So there are 2 ways to do this, but the easy way is to do [tex]\frac{4}{1}[/tex] x [tex]\frac{4}{8\\}[/tex]

it becomes [tex]\frac{16}{8}[/tex] then divided 16 by 8 and it's 2.

Have a good day!

The probability that the friend is at least 22 minutes late is 0.266

Uniform density function for a friend = x minutes late

The Friend is at least 21 minutes late

Based on the above information, the probability that the friend is at least 21 minutes late is

= (Total minutes - minimum minutes)/Total minutes

=30-22/30

=8/30

=0.266

Based on the above formula we can easily find out the probability for the friend who is at least 22 minutes late

Hence, the probability that the friend is at least 22 minutes late is 0.266

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The  polynomial with integer coefficients and a leading coefficient of 1  is (x-6) (x-3)²  which in turn will be: f(x) = x³ - 12x² + 45x - 54

Based on the question, If the zeros of a polynomial are said to be 6, 3, and 3, one can say that the polynomial can be written in factored form such as

f(x) = (x - 6)(x - 3)(x - 3)

The to solve this, we have to multiply it:

f(x) = (x - 6) (x² - 6x + 9)

f(x) = x³ - 6x² + 9x - 6x² + 36x - 54

f(x) = x³ - 12x² + 45x - 54

Therefore, the polynomial with integer coefficients and a leading coefficient of 1  will be f(x) = x³ - 12x² + 45x - 54

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The probability that Frank gets a head and a tail in any order is 2/5.

We have,

The sample space of tossing two coins.

= {HT} x {HT}

= {HH, HT, TH, TT}

So,

The table is filled as:

First coin   Second coin

  Head         Head

  Head         Tail

  Tail             Head

   Tail             Tail

Now,

The probability that Frank gets a head and a tail in any order.

= Number of required outcomes / Total outcomes

{HT, TH} = 2

{HH, HT, TH, TT} = 5

So,

= 2/5

Thus,

The probability that Frank gets a head and a tail in any order is 2/5.

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The equation representing the relationship between the number of weeks (w) and the number of books collected (b):

b = 10w + 0

b = 10w

We can observe from the table that the number of books collected increases by 10 for each week.

Thus, there is a linear relationship between the number of weeks (w) and the number of books collected (b). We can represent this relationship using the equation:

b = mw + c

where b is the number of books collected, w is the number of weeks, m is the slope (rate of change), and c is the y-intercept (number of books collected at week 0).

The slope (m) is the change in the number of books collected per week, which is 10. We can now find the y-intercept (c) by substituting one of the points from the table into the equation. Let's use the point (1, 10):

10 = 10 * 1 + c

c = 0

Now we have the equation representing the relationship between the number of weeks (w) and the number of books collected (b):

b = 10w + 0

b = 10w

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the data in the form of a table, which shows the total number of books collected (b) for different number of weeks (w).

Weeks (w) Books Collected (b)

1 10

2 20

3 30

4 40

Trisha is collecting books to donate. The table below shows the total number of books collected, b, for different number of weeks, w. Which equation represents the relationship between the number of weeks, w, and the number of books collected, b?

The probability that all four people regularly use seat belts is approximately 0.656 or 65.6%.

To find the probability that all four people regularly use seat belts, we need to use the multiplication rule of probability which states that the probability of two or more independent events occurring together is the product of their individual probabilities.

The probability that the first person uses a seat belt is 0.901, and assuming that the events of seat belt use by different people are independent, the probability that the second person also uses a seat belt is 0.901.

The probability that the third person uses a seat belt is also 0.901, and the probability that the fourth person uses a seat belt is also 0.901.

Therefore, the probability that all four people regularly use seat belts is:

P(all four use seat belts) = P(person 1 uses seat belt) x P(person 2 uses seat belt) x P(person 3 uses seat belt) x P(person 4 uses seat belt)

P(all four use seat belts) = 0.901 x 0.901 x 0.901 x 0.901

P(all four use seat belts) = 0.656

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Step-by-step explanation:

At low tide   depth =  (3)(-1) + 7  = 4

at HIGH tide  depth = (3) (+1)  + 7 =   10 feet

The length of the guy wire should be option D √(25) ft. that is 25 ft.

Perpendicular means that two lines or objects intersect each other at a 90-degree angle, forming a right angle. This means that if you were to draw a line at the point of intersection, it would split the angles on either side of it into two equal parts. In simpler terms, if you imagine a horizontal line and a vertical line intersecting each other, they would be perpendicular to each other. The concept of perpendicularity is important in geometry and is used in many different applications, such as construction, engineering, and design.

We can use the Pythagorean theorem to find the length of the guy wire c. According to the theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. Therefore:

c² = a² + b²

Substituting the given values:

c² = (20 ft)² + (15 ft)²

c² = 400 ft² + 225 ft²

c² = 625 ft²

Taking the square root of both sides:

c = √(625) ft

c = 25 ft

Therefore, the length of the guy wire should be 25 feet.

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Answer:

125

Step-by-step explanation:

60% x X = 75

X              = 75/0.6
X              = 125

Answer: B

Step-by-step explanation: You can subtract 21 from 245 11 times but some will remain

Answer:

False

Step-by-step explanation:

(x+4)^2 =  x^2 + 8x + 16

the correct answers are E(-4, 5) and F(3, 2). According to given probabilities  condition

How to solve the question?

To find the coordinates of Checkpoints E and F, we need to first understand what is meant by "located at CD's location in a 180° rotation of the course."

A 180° rotation means that we flip the course upside down, with the line segment connecting Checkpoints C and D acting as the axis of rotation. This means that Checkpoints E and F will be on the same line as CD, with E being the reflection of C and F being the reflection of D across the line CD.

To find the coordinates of E, we reflect C across the line CD. To do this, we first find the slope of the line CD:

slope = (2 - 5) / (-3 - (-4)) = -3

The midpoint of CD is:

midpoint = ((-3 + (-4))/2 , (2 + 5)/2) = (-3.5, 3.5)

The line perpendicular to CD passing through the midpoint has slope -1/(-3) = 1/3. Using point-slope form, we can find the equation of this line:

y - 3.5 = (1/3)(x + 3.5)

Simplifying, we get:

y = (1/3)x + 4

To reflect C across CD, we can find the intersection point of this line with the line passing through C and CD. This line has slope -3 and passes through (-4, 5). Using point-slope form, we can find its equation:

y - 5 = (-3)(x + 4)

Simplifying, we get:

y = -3x - 7

Setting these two equations equal to each other, we get:

(1/3)x + 4 = -3x - 7

Solving for x, we get:

x = -4

Substituting this value back into either equation, we get:

y = 5

Therefore, the coordinates of Checkpoint E are (-4, 5).

To find the coordinates of F, we reflect D across CD. We can use a similar method as above to find the line passing through D and CD:

slope = (2 - 5) / (-3 - (-4)) = -3

y - 2 = (-3)(x + 3)

Simplifying, we get:

y = -3x - 7

To reflect D, we find the intersection point of this line with the line perpendicular to CD passing through the midpoint:

y - 3.5 = (1/3)(x - (-3.5))

Simplifying, we get:

y = (1/3)x + 4

Setting these two equations equal to each other, we get:

(1/3)x + 4 = -3x - 7

Solving for x, we get:

x = 3

Substituting this value back into either equation, we get:

y = 2

Therefore, the coordinates of Checkpoint F are (3, 2).

So the correct answers are E(-4, 5) and F(3, 2).

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Thus, the height of the cylinder for the given volume and radius is found to be 10 ft.

Objects in three dimensions are represented by solid shapes. Search the area! Solid shapes include any other three-dimensional object, such as a laptop, phone, ice cream cone, balls, etc.

On a three-dimensional plane, a cylinder is a solid shape. It maintains a set spacing between two circular, parallel bases that are connected by a curved surface (like a tube).

Given that:

The formula for the volume of cylinder V:

V = πr²h

Put the values:

502 = 3.14*4²*h

502 = 3.14*16*h

h = 502 / 50.2

h = 10 ft

Thus, the height of the cylinder for the given volume and radius is found to be 10 ft.

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Complete question:

Find the missing dimension of the given solid.

The figure is attached.

Answer:

65

Step-by-step explanation:

cups per pizza- 13

for 5 pizza- 13×5= 65

think of it this way you eat 2 slices of pizza in an hour, how many will you eat in 6 hours? 2x6 = 12

4[tex]\pi[/tex]/9 radians equals 80 degrees.

To convert a radian angle to a degree angle, multiply it by 180°/[tex]\pi[/tex]. To convert a degree angle to a radian angle, multiply it by [tex]\pi[/tex]/180°.

We utilize the conversion factor that 1 radian = 180/[tex]\pi[/tex] degrees to convert radians to degrees.

So we multiply 4[tex]\pi[/tex]/9 radians by the conversion factor to get degrees:

[tex]\\\frac{4\pi }{9} * \frac{180}{\pi } \\\frac{720}{9}[/tex]

On simplifying we get,

720 / 9 = 80 degrees

As a result, 4[tex]\pi[/tex]/9 radians equals 80 degrees.

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Complete question:

attach in the image form

The complete table for the pie chart is;

Type of Film             Frequency           Angle in °

Action                            4                           72°

Horror                           11                            198

Comedy                         5                            90

From the given table used to form the pie chart, we see that;

Type of Film             Frequency           Angle in °

Action                            4                           72°

Horror                           11                            

Comedy                         5

We know that the angles in a circle is equal to 360 degrees. Thus;

Angle composed of horror and comedy = 360 - 72 = 288°

Thus;

Angle for horror film = (11/(4 + 11 + 5)) * 360°

= (11/20) * 360°

= 198°

Thus;

Angle for comedy = 288° - 198° = 90°

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The angles of △ABC are approximately:

A ≈ 36.1 degrees

B ≈ 55.9 degrees

C ≈ 101.3 degrees

To find the angles of △ABC, we can use the Law of Cosines, which states that:

c^2 = a^2 + b^2 - 2ab*cos(C)

where C is the angle opposite the side c.

Using the given values, we can substitute and solve for cos(C):

18^2 = 11^2 + 20^2 - 2(11)(20)cos(C)

324 = 441 + 400 - 440cos(C)

cos(C) = -17/440

C ≈ 101.3 degrees

We can now use the Law of Sines to find the other angles:

sin(A)/a = sin(C)/c

sin(A)/11 = sin(101.3)/18

sin(A) ≈ 0.593

A ≈ 36.1 degrees

sin(B)/b = sin(C)/c

sin(B)/20 = sin(101.3)/18

sin(B) ≈ 0.820

B ≈ 55.9 degrees

Therefore, the angles of △ABC are approximately:

A ≈ 36.1 degrees

B ≈ 55.9 degrees

C ≈ 101.3 degrees

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The surface area of the triangular prism is 235 cm²

An equation is an expression that uses mathematical operations to show how numbers and variables are related to each other.

The surface area of a triangular prism is gotten by adding the individual area of each surface.

For the triangular prism shown:

Surface area = 2(1/2 * 10 cm * 12 cm) + (10 cm * 5 cm) + 2(13 cm * 5 cm) = 235 cm²

The surface area is 235 cm²

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The probability that the mean tariff rate of 400 randomly selected​ railroad-car shipments of ethanol will be within ​$80 of the mean tariff rate of all​ railroad-car shipments of ethanol is: 0.305.

The interpretation of the statement that the probability of the sample mean being within $80 of the population mean is 0.305 is that if we take multiple samples of 400 ethanol railroad-car shipments, about 30.5% of the time, the sample mean tariff rate will be within $80 of the population mean tariff rate.

To arrive at the propability, we will first list the data as follows:

Standard deviation of tariff rates, σ = $1200

Sample size, n = 400

Margin of error, E = $80

Standard deviation of sample mean = σ/√n = 1200/√400 = 60

To find the probability, we need to calculate the z-score for the margin of error.

z = E / standard deviation of sample mean = 80 / 60 = 4/3.

When we use the standard normal distribution table, we will arrive at  the probability of a z-score between -1.33 and 1.33. This probability is approximately 0.305.

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Therefore, we estimate that there are 2250 Art majors in the total population.

In mathematics, a proportion is an equation that states that two ratios are equal. A ratio is a comparison of two quantities expressed as a fraction or a decimal. Since both sides of the equation are equal, the proportion is true. Proportions are used in many mathematical and real-world contexts, such as in geometry, finance, and statistics. They are useful for comparing and scaling quantities, and for solving problems involving unknown quantities or variables.

Here,

We can use proportions to estimate the total number of Art majors in the population based on the proportion of Art majors in the sample.

The proportion of Art majors in the sample is:

75/250 = 0.3

We can assume that this proportion is representative of the proportion of Art majors in the population.

So, if x is the total number of Art majors in the population, then we can set up the following proportion:

0.3 = x/7500

To solve for x, we can cross-multiply and simplify:

0.3 * 7500 = x

x = 2250

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Answer:

Option D) 400π cubic units.

Step-by-step explanation:

GIVEN :

TO FIND :

USING FORMULA :

[tex]\quad\star{\underline{\boxed{\sf{V_{(Cylinder)} = \pi{r}^{2}h}}}}[/tex]

SOLUTION :

Substituting all the given values in the formula to find the volume of cylinder :

[tex]\quad{\sf{\dashrightarrow{V_{(Cylinder)} = \pi{r}^{2}h}}}[/tex]

[tex]\quad{\sf{\dashrightarrow{V_{(Cylinder)} = \pi{(5)}^{2}16}}}[/tex]

[tex]\quad{\sf{\dashrightarrow{V_{(Cylinder)} = \pi{(5 \times 5)}16}}}[/tex]

[tex]\quad{\sf{\dashrightarrow{V_{(Cylinder)} = \pi{(25)} \times 16}}}[/tex]

[tex]\quad{\sf{\dashrightarrow{V_{(Cylinder)} = \pi \times 25\times 16}}}[/tex]

[tex]\quad{\sf{\dashrightarrow{V_{(Cylinder)} = \pi \times 400}}}[/tex]

[tex]\quad{\sf{\dashrightarrow{V_{(Cylinder)} = 400 \pi}}}[/tex]

[tex]\quad\star{\underline{\boxed{\sf{\pink{V_{(Cylinder)} = 400 \pi \: {units}^{3}}}}}}[/tex]

Hence, the volume of cylinder is 400π cubic units.

A sampling distribution is a frequency distribution using the means computed from all possible random samples of a specific size taken from a population.

To get the possible samples, use the formula "N choose n", where N is the population size, and n is the sample size to be taken. The total probability of the sample mean must be equal to 1.

Since the mean of all possible samples must be equal to the population mean. The sampling distribution is an important concept in statistics as it allows us to make inferences about the population based on the characteristics of the sample, and helps us estimate parameters and test hypotheses.

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Answer:

Step-by-step explanation:

You want the union and the intersection of the given sets D and E.

The union of the two sets is the list of elements in either set. It will contain all of the elements of D along with all of the elements of E, with duplicate values removed so that each element is only listed once.

The intersection of the two sets is the list of elements that appear in both sets. Any element that only appears in one of the sets is not part of the union.

<95141404393>

The probability that the bus will arrive early is 0.1, or 10%.

It is possible to calculate the likelihood that the bus will arrive early using the rule that the sum of all possible outcomes must equal 1.

P(on time) + P(late) + P(early) = 1 if P(E) is the likelihood that the bus will arrive early.

Using the probabilities as a replacement, we get:

0.6 + 0.3 + P(E) = 1.

For P(E), use the formula:

P(E) = 1 - 0.6 - 0.3 = 0.1.

Therefore, the probability that the bus will arrive early is 0.1.

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