PLEASE HELP

Find the volume of the solid.

The probability that they win the coin toss in exactly 10 of their 16 games.

What is the probability?

Probability is a mathematical concept that deals with the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain to occur. The probability of an event A, denoted as P(A), is calculated as the number of favorable outcomes divided by the number of possible outcomes.

P(getting heads on one toss) =  1 / 2 because the coin is unbiased.

So P(getting all heads in 10 tosses).

= \((1/2)^{10}\)

=  1/ 1024

= .0009765

Hence, the probability that they win the coin toss in exactly 10 of their 16 games.

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The random variable X represents the number of community events that Javier attends each month. X can take on values from 0 to 5, since he does not attend more than five events in a month.

The probability distribution function (PDF) for X can be constructed from the given information as follows:

X P(X=x)

0 0.05

1 0.05

2 0.1

3 0.2

4 0.25

5 0.35

To find the probability that Javier volunteers for less than three events each month, we need to sum the probabilities for X=0, X=1, and X=2. Therefore, P(x < 3) = P(X=0) + P(X=1) + P(X=2) = 0.05 + 0.05 + 0.1 = 0.2.

To find the probability that Javier volunteers for at least one event each month, we need to find the complement of the probability that he does not attend any events. Therefore, P(x > 0) = 1 - P(X=0) = 1 - 0.05 = 0.95. This means that there is a 95% chance that Javier will attend at least one community event each month.

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Answer:

B. 2

Step-by-step explanation:

(4, 3) (7, 9)     M = Slope

M = \(\frac{y^2-y^1}{x^2-x^1}\)      Slope formula

\(M=\frac{9-3}{7-4}\)       Using the slope formula, plot both x and y intercepts

\(M=\frac{6}{3}\)           Slope needs to be simplified into a whole number

\(M=2\)          

Answer:

Step-by-step explanation:

basically, you have to look at the inequality. it is the same all around. so if the inequality has less than or equal too, or greater than or equal too, you need to have a thick solid line representing your function. if it is just less than or greater than, use a dotted line. to determine whether the shading goes above or below, you look at the in equality. greater than is above, and less than is below

Answer:

5y - 2

Step-by-step explanation:

1/3 ( 15y - 6 ) = (15y - 6) / 3 = 5y - 2

Done! Hope you learned how to do this/understood this and have a great day! Please mark me as brainliest, vote 5.0 on my answer and thank me to show some support! Bye!

Answer:

x= -63 y= -117

Step-by-step explanation:

72+10(2x+9)=36

72+20x+90=36

162+20x=36

20x=-126

×= -63

y= 2(-63)+9

y=-126+9

y= -117

The best estimate of fraction is 131.445.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated. For instance, the symbol for half of a complete number or item is \(\frac{1}{2}\)

Given Data

31\(\frac{3}{4}\) × 4\(\frac{1}{7}\)

Solving mixed fractions

\(\frac{127}{4}\) × \(\frac{29}{7}\)

31.75 × 4.14

Multiplying

131.445

The best estimate of fraction is 131.445.

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Answer:

AC and DE are parallel to each other, and DE is half the length of AC.

Step-by-step explanation:

Here is the answer from Plato. Hope this helps :)

Answer:

Vertex: (-2, -7)

Step-by-step explanation:

Easiest and fastest way to do this is to graph the equation and trace to the vertex. When you do so you should be able to calculate the coordinates of the vertex.

Answer: the answer is (-2,-7)

Step-by-step explanation: APPEX

The average number of toys per person is 8 (option C).

let's calculate the average number of toys per person. We know that five people are working 8 hours a day for 5 days, so the total work hours for the week is 5 × 8 × 5 = 200 hours.

Since these five people can assemble 400 toys in that time, the average number of toys assembled per hour is 400 / 200 = 2 toys per hour.

Now, since each person works for 8 hours a day, the average number of toys assembled per person per day is 2 × 8 = 16 toys.

Since there are 5 working days in a week, the average number of toys assembled per person per week is 16 × 5 = 80 toys.

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Answer:

a and b*

Step-by-step explanation:

it's kinda self explanatory. she isn't very good at communicating with others. she is rude and disrespectful.

Answer:

The factors are 1,2,3,4,6,8, 12 and 24

Answer:

The factors of 24 are:

a. 1

b. 2

c. 3

d. 4

e. 6

f.  8

g. 12

h. 24

Step-by-step explanation:

A factor is a number that when added or multiplied to another number gives a \(GIVEN RESULT.\)

Answer:

5/12

Step-by-step explanation:

1-1/4-1/3=5/12

Based on the given mean delivery time of 10:28am and the standard deviation of 0:55 mins, the estimated times within which 95% of the deliveries are made is (a) between 8:38 am and 12:18 pm.

To calculate this interval, we need to use the z-score formula, where we find the z-score corresponding to the 95th percentile, which is 1.96. Then, we multiply this z-score by the standard deviation and add/subtract it from the mean to get the upper and lower bounds of the interval.

The upper bound is calculated as 10:28 + (1.96 x 0:55) = 12:18 pm, and the lower bound is calculated as 10:28 - (1.96 x 0:55) = 8:38 am.

Therefore, we can conclude that the interval between 8:38 am and 12:18 pm represents the estimated times within which 95% of the deliveries are made based on the given mean delivery time and standard deviation.

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Hi there! Hopefully this helps!

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Q1: (For what)"Will you find the number of combinations?"

Answer: (I unfortunately don't understand this very well so I'm giving it my best, and take this with a grain of salt.) I will be able to find combinations using a school cafeteria!

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Q2: "List at least three categories to consider."

My choices:

Answer: Fruits, Vegetables, Protein.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Q3: "List the choices within each category."

Answer:

Fruits: Apples, Bananas, and Grapes.

Vegetables: Cauliflower, Carrot, and Corn.

Protein: Green beans, Salmon, and Almonds.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Q4: "Assign each choice a symbol. Ex. juice = (diamond shape)"

Answer:

Fruits: Apples, Bananas, and Grapes.

Vegetables: Cauliflower✨, Carrot, and Corn.

Protein: Green beans, Salmon, and Almonds.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Q5: "Create a tree diagram to determine the number of combinations available."

(I'm not very familiar with a tree diagram so here is my interpretation at the bottom.)

(You can rewrite this and do it your way if you want).

Q6: "List all possible combinations and count the total number of possibilities."

There are 27 combinations possible!

All of my possible combinations:

The last image below is for Qestion 5.

Let's determine the height of the building using ratios and proportions.

Where,

h = height of the building

We get,

Therefore, the height of the building is approximately 105 m.

Answer:

X=4 Y=28

Step-by-step explanation:

We have our two equations, 2x+4=12 and Y=4x+12
Solve for x of one of the equations so that the repeating (common) variable can be cancelled out.

Using 2x+4=12, we can solve for the x-value and replace it back into y.

2x+4=12
2x=8
x=4

We can replace our new x-value into the other equation, y=4x+12

y=4(4)+12
y=16+12
y=28

So x=4, and y=28

Answer: The divisor is less than 5 1/2 and the dividend is greater than 5 1/2

Based on the given informations, the angle between the ladder and the ground is decreasing at a rate of 0.009 radians/second when the ladder is 5.8 feet away from the house.

Let's call the distance between the base of the ladder and the house "x". The length of the ladder is 24 feet, so the height it reaches up the house is given by the Pythagorean theorem:

h² = 24² - x²

Differentiating both sides with respect to time:

2h dh/dt = -2x dx/dt

We want to find dh/dt when x = 5.8 feet and dx/dt = 0.25 feet/second. First, we need to solve for h:

h² = 24² - 5.8² = 557.84

h = 23.63 feet

Substituting x = 5.8 feet, h = 23.63 feet, and dx/dt = 0.25 feet/second:

2(23.63) dh/dt = -2(5.8)(0.25)

dh/dt = -0.06 feet/second

So the tip of the ladder is slipping down the side of the house at a rate of 0.06 feet/second.

To find the rate of change of the angle, we can use the formula:

tan(Θ) = h/x

Differentiating both sides with respect to time:

sec²(Θ) d(Θ)/dt = (1/x) dh/dt - (h/x²) dx/dt

We already know x = 5.8 feet, h = 23.63 feet, and dx/dt = 0.25 feet/second. We just calculated dh/dt to be -0.06 feet/second. To find sec(theta), we can use the fact that cos(Θ) = x/h:

cos(Θ) = x/h = 5.8/23.63 = 0.245

sec(Θ) = 1/cos(theta) = 4.0816

Substituting these values into the formula above:

(4.0816)² d(Θ)/dt = (1/5.8)(-0.06) - (23.63/5.8²)(0.25)

d(Θ)/dt = -0.009 radians/second (rounded to 3 decimal places)

Therefore, the angle between the ladder and the ground is decreasing at a rate of 0.009 radians/second when the ladder is 5.8 feet away from the house.

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Answer:

angle ZXY= 5x+8 = 5(13)+8 =73

angle ZXW= 7x-4= 7(13)-4=91-4=87 degrees

it is a

Step-by-step explanation:

add two angles together = 160

5x+8+7x-4=160

12x+4=160

12 x =160-4

x=156/12= 13

angle ZXY= 5x+8 = 5(13)+8 =73

angle ZXW= 7x-4= 7(13)-4=91-4=87 degrees

Answer:

D= M/V

7.85= M/50

M= 7.85 x 50

392.5 g

k = 0 to 399 By calculating this summation, we will obtain the probability that Paul goes broke. To find the probability that Paul goes broke when Peter has a 2/3 probability of winning each game, we can use the concept of probability, game, and bet in our explanation.

First, we need to determine the probability of Paul winning a game, which can be found by subtracting Peter's winning probability from 1:

Probability of Paul winning = 1 - Probability of Peter winning = 1 - 2/3 = 1/3

Now, let's denote the number of games required for one of them to go broke as 'n'. Since they each start with $400, the total number of games would be n = 400 + 400 = 800.

We will use the binomial probability formula to calculate the probability of Paul going broke after 'n' games:

P(Paul goes broke) = (n! / (k!(n-k)!)) * (p^k) * (q^(n-k))

Here, n is the total number of games (800), k is the number of games Paul wins, p is the probability of Paul winning (1/3), and q is the probability of Peter winning (2/3).

To find the probability of Paul going broke, we need to calculate the probability of Paul winning fewer than 400 games out of 800:

P(Paul goes broke) = Σ [P(Paul wins 'k' games)] for k = 0 to 399

By calculating this summation, we will obtain the probability that Paul goes broke.

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Answer:-1/3b+18

Step-by-step explanation:

Let's solve for a.

3a+b=54

Step 1: Add -b to both sides.

3a+b+−b=54+−b

3a=−b+54

Step 2: Divide both sides by 3.

3a/3=  -b+54

               3

a= -1/3b+18

Answer:

a 15

Step-by-step explanation:

just got it right

Answer:

\(\huge\boxed{\sf Solution \ Set = \{-1, \ -2/5\}}\)

Step-by-step explanation:

\(\sf 5x^2+7x+2 = 0\\\\By \ mid-term\ break,\\\\5x^2 + 5x+2x+2=0\\\\Taking \ common\\\\5x(x+1)+2(x+1)=0\\\\Take \ (x+1) \ common\\\\(x+1)(5x+2)=0\\\\Either, (By \ Zero's \ Method)\\\\x+1 = 0 \ \ \ OR \ \ \ 5x + 2 = 0\\\\x = -1 \ \ \ OR \ \ \ x = -2/5\\\\Solution \ Set = \{-1, \ -2/5\}\\\\\rule[225]{225}{2}\)

Hope this helped!

The base and exponent of −2^4 are

Base: -2

Exponent: 4

From the question, we have the following parameters that can be used in our computation:

-2^4

In the expression -2^4, -2 is the base and 4 is the exponent.

The base is the number that is being multiplied by itself and the exponent is the number of times the base is being multiplied by itself.

In this case the base is -2 and the exponent is 4.

So the expression -2^4 means -2 multiplied by itself 4 times.

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There are at most seconds left before the download is complete.

And inequality is 120t ≤ 720.

The correct option for part 1 and part 2 are C and C respectively.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

Lucy is downloading a 960-megabyte music file.

Her internet connection allows her to download files at rates of at least 120 megabytes per second.

The music file is already 25% downloaded.

That means,

the inequality that represents the solution,

120t ≤ (960 - 960 x 0.25)

120t ≤ 720

t ≤ 6

Therefore, at most 6 seconds left to download the file.

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Answer:

A. 1

B. -1

C. Proportional

D. y=x-1

Answer:

Step-by-step explanation:

-1, -0.5, 1/4