Find the volume.
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Answer:

The probability of drawing a bag with bad potatoes is less than 1. True

The probability of drawing a bag with good potatoes is greater than 0. True

What is the probability of drawing a bag with bad potatoes?

The probability of drawing a bag with bad potatoes is (2 bad bags) / (20 total bags) = 0.1 or 10%.

What is the expected probability of the complement of the event?

The complement of the event of drawing a bag with bad potatoes is drawing a bag with good potatoes. The probability of drawing a bag with good potatoes is (18 good bags) / (20 total bags) = 0.9 or 90%.

Uday Tahlan

The measurement of three angles in the triangle are 43°, 81°, 56°.

A triangle's interior angles always add up to 180°, whereas its exterior angles are equal to the sum of the two interior angles that are not adjacent to it.

Given three angles,

∠A = (5x - 17)°

∠B = (7x - 3)°

∠C = 56°

We know that in a triangle ∠A + ∠B + ∠C = 180°

By substituting values,

(5x - 17) + (7x - 3) + 56 = 180

12x -20 + 56 = 180

12 x + 36 = 180

12x = 180 - 36

12x = 144

x = 144/12

x = 12

By substituting values of x we get,

∠A = (5x - 17)°

     = 5 x 12 - 17

     = 60 - 17

     = 43

∠A = 43°

∠B = (7x - 3)°

     = 7 x 12 - 3

     = 84 - 3

     = 81

∠B = 81°

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When the points are (2, 6), (2, -2), and (8 units), the polygon's or triangle's area is 8. ( 4 , -2)

A triangle, which is a polygon, has three sides and three vertices. One of geometry's basic shapes is it. A triangle with the vertices A, B, and C is referred to as Triangle ABC. A unique plane and triangle are discovered in Euclidean geometry when the three points are not collinear. Having three sides and three corners, a triangle is a polygon. The triangle's corners are defined as where the three sides meet one another end to end. 180 degrees is the sum of the angles in a triangle.

given

area of the polygon ( triangle ) = 1/2 * b * h

= 1/2 * 4 * 4

= 8 units

so When the points are (2, 6), (2, -2), and (8 units), the polygon's or triangle's area is 8. ( 4 , -2)

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Answer:

B) x = 5sqrt2, y = 5

Step-by-step explanation:

(y) is equal to 5 because both angles are 45 degrees.

From here you can use the Pythagorean theorem to find (x):

a^2+b^2 = c^2

5^2+5^2 = c^2

25+25 = c^2

50 = c^2

sqrt50 = c

5sqrt2 = c (c is x in this case)

Answer:

A. (4,0) and (- 1,0) is the answer

Answer:

Elliot = 16 years old

Miya = 10 years old

Cara = 25 years old

Step-by-step explanation:

Define the variables:

The average age of Elliot, Miya and Cara is 4 years more than the average age of Elliot and Miya:

[tex]\implies \dfrac{x+y+z}{3}=\dfrac{x+y}{2}+4[/tex]

[tex]\implies \dfrac{x+y+z}{3}=\dfrac{x+y+8}{2}[/tex]

[tex]\implies 2(x+y+z)=3(x+y+8)[/tex]

[tex]\implies 2x+2y+2z=3x+3y+24[/tex]

[tex]\implies 2z=x+y+24[/tex]

[tex]\implies x=2z-y-24[/tex]

Cara is 9 years older than Elliot:

[tex]\implies z = x + 9[/tex]

Four years ago, Elliot was double the age of Miya:

[tex]\implies (x - 4) = 2(y - 4)[/tex]

[tex]\implies x - 4 = 2y-8[/tex]

[tex]\implies x +4 = 2y[/tex]

[tex]\implies y=\dfrac{1}{2}x +2[/tex]

Substitute the equations for z and y into the equation for x and solve for x:

[tex]\implies x=2z-y-24[/tex]

[tex]\implies x=2(x+9)-\left(\dfrac{1}{2}x +2\right)-24[/tex]

[tex]\implies x=\dfrac{3}{2}x-8[/tex]

[tex]\implies \dfrac{1}{2}x=8[/tex]

[tex]\implies x=16[/tex]

Substitute the found value of x into the equation for z and solve for z:

[tex]\implies z = 16 + 9[/tex]

[tex]\implies z = 25[/tex]

Substitute the found value of x into the equation for y and solve for y:

[tex]\implies y=\dfrac{1}{2}(16) +2[/tex]

[tex]\implies y=8+2[/tex]

[tex]\implies y=10[/tex]

Therefore, the ages of Elliot, Miya and Cara are:

Answer:

There are 23 students

-- 9 students play neither sport

-- therefore, 23 - 9  =  14 students play at least one of the two sports; some play both sports.

Inclusive or:  the probability will be:  14 / 23 that a student chosen at random will play at least one of the two sports.

Exclusive or: we need to first find how many students play both sports.

Since 14 persons play sports and since 7 play basketball and 12 play baseball, this requires 7 + 12 = 19 students.

Subtracting  19 - 14 = 5 give the number of students who play both sports.

If we eliminate these 5 persons as well as the 9 who play neither sport, we have to eliminate 5 + 9  =  14 persons.

This gives 23 - 14 = 9 persons who play only one of the two sports.

The probability will be:  9/23 play a sport, but only one sport.

Step-by-step explanation:

The probability that a student does not play an instrument given that they play a sport is 6/7 or approximately 0.857.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To find the probability that a student does not play an instrument given that they play a sport, we need to use conditional probability.

Let A be the event that a student plays a sport and B be the event that a student plays an instrument.

We want to find P(not B | A), which is the probability that a student does not play an instrument given that they play a sport.

We know that,

P(A) = 7/23, P(B) = 9/23, and P(A and B) = 3/23.

Using the formula for conditional probability, we have:

P(not B | A) = P(A and not B) / P(A)

We can find P(A and not B) by using the fact that,

P(A and B) = P(B) - P(A and not B).

P(A and not B)

= P(B) - P(A and B)

= 9/23 - 3/23

= 6/23

Substituting into the formula, we get:

P(not B | A) = (6/23) / (7/23) = 6/7

Therefore,

The probability that a student does not play an instrument given that they play a sport is 6/7 or approximately 0.857.

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Answer:

It would be 0.62.

Step-by-step explanation:

This is because the total probability is 1 and the chance of it being a green ball is 0.38, so:

1 - 0.38 = 0.62.

Answer:

8

Step-by-step explanation:

If 7 tickets equals 56

56/7=8

Answer:

8 Dollars

Step-by-step explanation:

If the question you are asking is how much is a ticket, if 7 tickets cost a total of 56 dollars, then the answer is 8. This is because you would divide the total cost bu how many there are, which would look like 56 / 7 = 8.

Answer:

3. 30

4. 46

5. 55

Step-by-step explanation:

The siblings met at the point (4,7). This can be determined by looking at the graph and seeing that the point (4,7) is the only point with an x-coordinate of 4 and a y-coordinate of 7.

Coordinate refers to the pair of numbers used to identify the position of a particular point on a graph, map, or other two-dimensional plane. Each coordinate consists of an x-coordinate and a y-coordinate that indicate the horizontal and vertical position of the point, respectively. Coordinates can be used to plot points, draw shapes, and determine distances between points. For example, the coordinates (4, 7) would tell you that the point is located four units to the right and seven units up from the origin point. Coordinates can also be used to describe the location of a point in three-dimensional space, with the addition of a z-coordinate.

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Answer:

7 seconds that Hannah runs on the side walk

Step-by-step explanation:

let's A is the second that Hannah runs on the side walk.
and B is the second that Hannah runss on the cross street. Base on the information we have 2 equations for 2 unknowns .
A + B = 12
16 A + 3 B =  127  simply to add/subtract column we have
=> 16A + 3B  = 127 (1)
      3A + 3B = 36  (2)  runs on the side walk.
And 12-7 =5 seconds is the time that Hannah runs on the cross street.

Hannah spend 7 seconds for running on the sidewalk.

Here,

Hannah runs down the street to catch her bus.

She runs for a total of 12 seconds.

On the sidewalk, she runs 16 feet per second. When she crosses the street, she runs 3 feet per second.

Hannah runs a total distance of 127 feet.

We have to find, How many seconds did Hannah spend running on the sidewalk.

What is Linear equation in two variables?

Linear equations in two variables is defined as, If a, b, and r are real numbers then ax + by = r is called a linear equations in two variables.

Now,

Let X is the second that Hannah spend running on the sidewalk.

And, Y is the second that Hannah runes on the cross the street.

Since, She runs for a total of 12 seconds.

⇒ X + Y = 12 .... (i)

And,  On the sidewalk, she runs 16 feet per second. When she crosses the street, she runs 3 feet per second and Hannah runs a total distance of 127 feet.

⇒ 16 X + 3 Y = 127 ....(ii)

By solving equation (i) and (ii), we get;

⇒ X = 7 and Y = 5

Hence, Hannah spend 7 seconds for running on the sidewalk.

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Answer:

Ok Cool thx i guess.

Step-by-step explanation:

Its rectangle btw.

Let her standard pay rate = x

She worked 40 hours for x per hour she also worked 5 hours at 1.5x ( time and a half)

Write an equation:

40x + 5(1.5x) = 1163.75

Simplify:

40x + 7.5x = 1163.75

Combine like terms:

47.5x = 1163.75

Divide both sides by 47.5

X = 24.50

Her regular hourly rate is $24.50

Answer:

let rate be x

by question

40x+7.5x=1163.75

x=1163.75/47.5=24.5

her regular income is $24.5 per hour.

Answer:

[tex]8 \sqrt{2} [/tex]

Step-by-step explanation:

8²+8²=(BC)²

64+64= 128

BC²=128

BC=

[tex]8 \sqrt{2} [/tex]

it is false but 4 is not y-4x=0

Answer:

[tex] V_{prism} = 222\: cm^3 [/tex]

Step-by-step explanation:

For bottom portion:

l = 8 cm, w = 6 cm, h = 2 cm

[tex] V_1= lwh = 8*6*2= 96 \: cm^3 [/tex]

For top portion:

l = 6 cm, w = 3 cm, h = 9 - 2 = 7 cm

[tex] V_2= lwh = 6*3*7= 126 \: cm^3 [/tex]

[tex] V_{prism} = V_1 + V_2[/tex]

[tex] V_{prism} = 96 + 126[/tex]

[tex] V_{prism} = 222\: cm^3 [/tex]

Another way:

[tex] V_{prism} = 8*6*9-6*5*7[/tex]

[tex] V_{prism} = 432-210[/tex]

[tex] V_{prism} = 222\: cm^3 [/tex]

Answer:

dependent

Step-by-step explanation:

there is no replacement

Answer:

Dependent

Step-by-step explanation:

The cards aren't replaced, so it depends on which ones are taken.

Answer: 45°

Step-by-step explanation:

The diagonals in squares are axes of symmetry.

This means the cut the corner angles in half.

90° ÷ 2 = 45°

Answer:

30 quarts= 0.8057 bushels

rounded to the nearest hundredths = 0.81

Answer:

8,100,000,000

Step-by-step explanation:

I used a calculator lol

Answer:

x > -4

Step-by-step explanation:

This is solved just like as if it was an equation. Its a two-step equation (inequality) The only thing that's different is with an inequality, it is imperative that you flip the inequality symbol if you multiply or divide by a negative number.

Here, we'll subtract 4 from both sides. Then divide by -3 on both sides. Flip! the < to a >.

see image.

x > -4.

[tex]4-3x < 16[/tex]

[tex]4-3x-4 < 16-4\\ \\-3x < 12[/tex]

[tex]\frac{-3x}{-3} < \frac{12}{-3} \\ \\x > -4[/tex]

Important. See that we switched the inequality symbol from "<" to ">", and this is because the symbol of the coefficient of variable "x" changed from negative to positive when it was divided by "-3". This rule will always be true, any time the symbol of the variable changed, the inequality symbol changes.

If x >-4 is the correct answer, then substituting x by "-4" in the inequation should make the inequation return the same value on both sides of the inequality symbol (>).

[tex]4-3(-4) > 16\\ \\4-(-12) > 16\\ \\4+12 > 16\\ \\16 > 16[/tex]

That's correct! x > -4 is the correct answer.

Answer:

Below

Step-by-step explanation:

"Lynn is making a snack. The recipes call for 3/8 cup of water for oats and 1/4 cup"

(I changed the numbers to fractions ....)

she needs   3/8 + 1/4 cup ....add them together by finding a common denominator

1/4 = 2/8    

then   3/8 + 2/8 = (3+2)/8 = 5/8 cup

  if she has one cup of water she has enough....she only needs 5/8 cup

Answer:

p-value≈0.025

Step-by-step explanation:

Khan Academy

From the stimulated results, the p-value of the test will be 0.025.

It should be noted that a p-value simply means a measure of the probability which an observed difference could have occurred by random choice.

In this case, the class took a random sample of n = 24 students and the mean height of students in their sample was Ž = 166.5 cm.

The p value of 0.025 indicates that the hypothesis fails to account for the facts that were presented.

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Answer:

A. m<C = 57 degrees, a = 12, b = 19

Step-by-step explanation:

First we can start by calculating Angle C by using the rule that all interior angles of a triangle always add to 180 degrees:

180 - (39+84) = C

180 - 123 = C

C = 57

Now let's calculate side a. We can do this by using the sin rule: [tex]\frac{sin A}{a}=\frac{sin C}{c}[/tex]

According to the diagram we know that Angle A is 39 degrees, Angle C is 57 degrees, and side c is 16 so we can substitute these values into the formula and solve:

[tex]\frac{sin39}{a} =\frac{sin 57}{16} \\\\\frac{0.629320}{a} =\frac{0.838671}{16}\\\\0.629320=0.052417a\\0.629320/0.052417=a\\a= 12[/tex]

We can use the same method to solve for side b:

[tex]\frac{sin84}{b} =0.052417 \\0.994522=0.052417b\\0.994522/0.052417=b\\b= 19[/tex]

We now have the following values:

Angle C = 57 degrees, a = 12, b = 19

We can now see that A/Number 1 is the correct option.

Hope this helped!

Answer:

288

Step-by-step explanation:

1 pound is equal to 16 ounces

if Itzel purchases 18 pounds, to convert to ounces simply multiply 18 by 16.

Answer:

288

I wish you luck in your assignments.

(I just noticed someone got here in before me and answered WAY better. So I edited this to tell you to give them brainliest.)

Answer: It's closer to 1/2

Step-by-step explanation: It's closer to 1/2 and here's why:

So, 1/2 (exact) is 8/16

0 = 0

1 = 16/16

Since 9/16 is the closest to 8/16 or around 1/2 in this case, it'd be about 1/2. I hope this helps!