Using the figure on the left, what is the measure of ∠ZWY and ∠ZYW? 60° + c° + 90° = 180° c = ? c° + d° + 90° = 180° d = ?

Answer:

Probability of rolling at least 4 sixes is 0.01696.

Step-by-step explanation:

We are given that an unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6  times.

The above situation can be represented through binomial distribution;

[tex]P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......[/tex]

where, n = number trials (samples) taken = 6 trials

            r = number of success = at least 4

           p = probability of success which in our question is probability of

                 rolling a “six", i.e; p = 0.20

Let X = Number of sixes on a die

So, X ~ Binom(n = 6, p = 0.20)

Now, Probability of rolling at least 4 sixes is given by = P(X [tex]\geq[/tex] 4)

P(X [tex]\geq[/tex] 4) = P(X = 4) + P(X = 5) + P(X = 6)

=  [tex]\binom{6}{4} \times 0.20^{4} \times (1-0.20)^{6-4}+\binom{6}{5} \times 0.20^{5} \times (1-0.20)^{6-5}+\binom{6}{6} \times 0.20^{6} \times (1-0.20)^{6-6}[/tex]

=  [tex]15 \times 0.20^{4} \times 0.80^{2}+6 \times 0.20^{5} \times 0.80^{1}+1 \times 0.20^{6} \times 0.80^{0}[/tex]

=  0.0154 + 0.00154 + 0.000064

=  0.01696

Therefore, probability of rolling at least 4 sixes is 0.01696.

Using the binomial distribution, it is found that there is a 0.0086 = 0.86% probability of rolling at least 4 sixes.

For each roll, there are only two possible outcomes, either it is a six, or it is not. The result of a roll is independent of any other rolls, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability is:

[tex]P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{6,4}.(0.1667)^{4}.(0.8333)^{2} = 0.0080[/tex]

[tex]P(X = 5) = C_{6,5}.(0.1667)^{5}.(0.8333)^{1} = 0.0006[/tex]

[tex]P(X = 6) = C_{6,6}.(0.1667)^{6}.(0.8333)^{0} \approx 0[/tex]

Then:

[tex]P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) = 0.0080 + 0.0006 + 0 = 0.0086[/tex]

0.0086 = 0.86% probability of rolling at least 4 sixes.

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Answer:

No, it is not reasonable

Step-by-step explanation:

Writing 9/10 and 4/8 as fractions out of 100, and then as decimals

9/10 = 90/100 = 0.9

4/8 = 1/2 = 50/100 = 0.5

0.9 - 0.5 = 0.4

Not 0, like Kevin estimated

Answer: 4/8 = 0.5 and 9/10= 0.9. If you subtract 0.9 by 0.5, you end up with 0.4. I would say not reasonable.

Step-by-step explanation:

Please find the attached file.

We have been given am image of point B on coordinate plane. We are asked to plot the mage of point B under a dilation about point P  with a scale factor of [tex]\frac{1}{2}[/tex].

To solve our given problem, we need to find vertical distance and horizontal distance between point B and point P.  

We can see that vertical distance is 4 units as shown in the attachment and horizontal distance is 6 units.

Since the scale of dilation is [tex]\frac{1}{2}[/tex], so the vertical distance between point P and B' would be [tex]\frac{1}{2}[/tex] of 4 that is [tex]\frac{1}{2}(4)=2[/tex].

The horizontal distance between point P and B' would be [tex]\frac{1}{2}[/tex] of 6 that is [tex]\frac{1}{2}(6)=3[/tex].

Now we will count 3 units to left of point P and 2 units upwards. That will be the position of point B'.

The below-attached graph represents the image of point B under a dilation about point P with a scale factor of 1/2.

To plot the image of point B under a dilation about point P with a scale factor of 1/2, follow these steps:

The point where this line intersects the vertical line through point C will be the image of point B under the dilation with a scale factor of 1/2.

Thus, the image of point B will be half as far away from point P as point B.

Hence, the below-attached graph represents the image of point B under a dilation about point P with a scale factor of 1/2.

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The quadratic function f whose zeros are 6 and 5 is represented by the formula f(x) = (x - 6)(x - 5). This formula utilizes the fact that the zeros of a quadratic function, also known as the roots, are the x-values for which the function equals zero.

To write a quadratic function f whose zeros are 6 and 5, we first identify the zeros. These zeros are the roots of the equation, meaning the points at which the curve of the function hits the x-axis.

A quadratic function is in the form f(x) = a(x - p)(x - q), where p and q are the zeros. Therefore, if the zeros are 6 and 5, our function becomes f(x) = a(x - 6)(x - 5), with 'a' being any real number. If we take 'a' as 1 (for simplicity), the function becomes f(x) = (x - 6)(x - 5).

So the quadratic function with zeros 6 and 5 is f(x) = (x - 6)(x - 5).

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Answer:

Oof...

Step-by-step explanation:

What is the Question?

Answer:

Consider the system of equations, x – 2y = 8 and –2x + 4y = –16.

What is x – 2y = 8 in slope-intercept form?

y=(1/2)x - 4

What is –2x + 4y = –16 in slope-intercept form?

y=(1/2)x - 4

How many solutions will there be?

infinitely many solutions

What will the graph of the system look like?

the lines are exactly the same

(I answered using the other answer and it was incorrect. It autocorrected it to these answers. This answer is correct.)

Slope intercept form of the equation

[tex]x - 2y = 8 \\ y=\frac{1}{2}x-4[/tex]

Slope intercept form of the equation

[tex]-2x+4y=-16 \\y=\frac{1}{2}x-4[/tex]

Solution is infinite

Graph of the system are the lines that lies one above the other.

Given :

System of equations

[tex]x - 2y = 8 \\ -2x+4y=-16[/tex]

slope intercept form of the equation is y=mx+b

Lets solve each equation for y

[tex]x - 2y = 8 \\-2y=-x+8\\y=\frac{1}{2}x-4[/tex]

Slope intercept form of the equation

[tex]x - 2y = 8 \\ y=\frac{1}{2}x-4[/tex]

Lets solve the second equation for y

Slope intercept form of the equation

[tex]-2x+4y=-16\\4y=2x-16\\y=\frac{1}{2}x-4[/tex]

The slope intercept form of both the equations are same

So there are infinite solutions for the given system of equations.

When the solution is infinite then the graph of equation are the lines that lies one above the other .

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Final answer:

The value 8 3/4 (option C) is closest to 8 11/20 because it has the smallest difference when compared to the other options after converting 11/20 to its decimal form.

Explanation:

The value closest to 8 11/20 is 8 3/4 (option C). To determine which value is closest, convert 11/20 to its decimal equivalent by dividing 11 by 20, which is 0.55. When added to 8, this gives us 8.55. Now let's compare the options: Option A (8) is 0.55 away, option B (8 1/2) equals 8.5 and is 0.05 away, option C (8 3/4) equals 8.75 and is 0.20 away, and option D (9) is 0.45 away. Thus, 8 3/4 is the closest value to 8 11/20 since it has the smallest difference.

Answer:

Art 1st

Step-by-step explanation:

If art takes you longest, you should do it 1st. After do what takes you less, then you will get the harder done 1st, and have something that doesnt take you as long after.

:)

Answer:

You should make yourself a tiny schedule, for example, you can work on your art piece for about an hour and then take a 5 minute break and do some of your other assignments for about 1 hour and 30 minutes. What you can also do is per every hour of working on art you did one other assignment. Hope this helps! :)

Final answer:

The original price comes out to $49.99 when rounded to the nearest cent.

Explanation:

To determine the original price of an item that has been marked down by 20%, we need to understand that the current price represents 80% of the original price (100% - 20% = 80%).

Therefore, the sale price is 80% of the original price. If the shoes were on sale for $39.99, we can set up an equation where the original price is represented by x, and the sale price is 80% of x, or 0.80x.

The equation would be 0.80x = $39.99.

To find the original price, we divide both sides by 0.80:

x = $39.99 / 0.80

x = $49.9875

Therefore, the original price of the shoes was $49.99 when rounded to the nearest cent.

Answer:

Khalid = 140 mph

Jesse = 150 mph

Jesse has the faster train

Step-by-step explanation:

Khalid is travelling 140 mph because 280/2 is 140

Jesse is travelling at 150 mph because just like the question stated, y=150x where "x" is the total hours they traveled and 150 is the distance she traveled.

Jesse is faster because 150>140

Answer:

15

Step-by-step explanation:

There are 15/5 in 3 cakes, since 1 cake has 5/5, so 3 is 15/5. if everybody gets one fifth, 15 people get the cake

Answer:

A total of 15 people will eat cake

Answer:

A = 12 in^2

Step-by-step explanation:

The formula for area is

A = l*w

A = 2in * 6 in

A = 12 in^2

Answer:

  B.  0, 1, 2, 3, 4, 5, 6

Step-by-step explanation:

If you want to represent a 70% chance of success, then 7 of the 10 possible numbers need to represent success. It is convenient to use the numbers 0 to 6 for the purpose.

The solution is : The group which represents a success is

B.  0, 1, 2, 3, 4, 5, 6.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

here, we have,

Given that,

a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 60%.

Total outcomes which are numbers from 0 to 9 = 10

If the probability of success is 60%,

P(success) = 60/100 = 6/10

That is, 6 numbers out of 10 are the outcomes which leads to success.

The correct option is D. 0, 1, 2, 3, 4, 5, which is the only option containing 6 numbers.

Hence the correct option is B

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Answer:

1.6m

Step-by-step explanation:

The length of the blade is 3.2m

The angle which the blade makes is 30°

Assuming the path of the blade and the length it covers is a right-angled triangle,

The length of the blade is the hypothenus while the path at which it clears is the opposite of the triangle.

See attached document for better illustration.

Using SOHCAHTOA,

Sinθ = opposite / hypothenus

opposite = x

hypothenus = 3.2

θ = 30°

Sin30 = x / 3.2

X = 3.2sin30

X = 3.2 × 0.5

X = 1.6m

The path which the snow plough clears is 1.6m

Final answer:

Using trigonometry, the width of the path that a snow plough with a 3.2m blade set at a 30 degree angle will clear is approximately 2.77 meters wide.

Explanation:

To determine the width of the path that a snow plough will clear, we can make use of trigonometry. Given that the blade of the snow plough is 3.2 meters wide and is set at an angle of 30 degrees, we can calculate the width of the path cleared (w) by using the following formula derived from the cosine of the angle:

w = blade width × cos(angle)

Therefore, the width of the path cleared is:

w = 3.2 m × cos(30°)

To solve for w, we need to know the cosine of 30 degrees, which is √3/2. So the calculation will be:

w = 3.2 m × (√3/2)

After calculating this:

w = 3.2 m × 0.866

w = 2.7712 m

Therefore, the snow plough will clear a path approximately 2.77 meters wide.

The equation represents the relationship between the number of miles traveled, m, and the total rental cost, r is r  = 2(210) + 0.10m.

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Jodi rents a car for 2 weeks.

It costs $210 for each week plus $0.10 per mile.

Let, the number of miles traveled, m, and the total rental cost, r.

The rent of the car for 2 weeks is;

[tex]= 2 \times 210[/tex]

The equation represents the relationship between the number of miles traveled, m, and the total rental cost, r is;

r = the rent of the car for 2 weeks + the total rental cost

r  = 2(210) + 0.10m

Hence, the equation represents the relationship between the number of miles traveled, m, and the total rental cost, r is r  = 2(210) + 0.10m.

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Tropical rainy is forests close to the water. Dry is outback and steppes. Temperate marine is savannas. Temperate continental is forests far from water. Polar is tundra and ice caps. Finally, highlands is mountains.

Answer:

10/9

Step-by-step explanation:

y increases by 10 while x increases by 9

The average rate of change of a function over an interval is calculated by finding the difference in the function values at the endpoints and dividing it by the difference in the x-values.

The average rate of change of a function over an interval is calculated by finding the difference in the function values at the endpoints of the interval and dividing it by the difference in the x-values.

In this case, we are given the interval 0 ≤ x ≤ 9. We need to find the difference in the function values of g at x = 0 and x = 9, and then divide it by the difference in the x-values, which is 9 - 0 = 9.

So, the average rate of change of g over the interval 0 ≤ x ≤ 9 is (g(9) - g(0)) / (9 - 0).

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Answer:

Option B

Step-by-step explanation:

Answer:

c prt i suppose

Step-by-step explanation:

Answer:

A Lumber company

Step-by-step explanation:

Answer: C because if it says less than that means after

Answer:

1/48 try simplfig that

Step-by-step explanation:

Answer:

I think it's none of the above

Answer:

11 units

Step-by-step explanation:

HPO and DPI are similar triangles

HP/DP = PO/PI

HP/9 = 6/27

HP = 9×6/27

HP = 2

HD = HP + PD

HD = 2 + 9 = 11

Answer:

11 units

Step-by-step explanation:

Answer:

14 150ml cans will hold more juice.

Step-by-step explanation:

14*150ml = 2100ml

2100ml = 2.1 liters

How are you supposed to find that out if you don't have a base price for at least 1 pound of gummy bears? Can you provide more info?

Answer:

the sum of all possible values of  x is: 2+6 = 8

Step-by-step explanation:

Assume the two points in your question are:

=> The distance between the points A(x,21) and B(4,7) is [tex]10\sqrt{2}[/tex]  

As we know, the distance of two points can be determined by this formula:

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

Apply this formula in this situation to find all possible values of x, we have:

[tex]\sqrt{(4-x)^{2} + (7-21)^{2} }[/tex] = [tex]\frac{10}{\sqrt{2} }[/tex]  

<=> [tex](4-x)^{2} + 196 = 200[/tex]

<=> [tex](4-x)^{2} = 4[/tex]

<=> (4-x) = 2 or (4-x) = -2

<=>  x = 2 or x = 6

=> the sum of all possible values of  x is: 2+6 = 8

Answer:

20 out of the 50 participants are assigned to consume Drink A.

However, it is asking us the probability that a participant did NOT consume Drink A, so there are 30 participants that consumed another drink.

The probability is 30/50, or 60%, that a participant did not sample Drink A.

Answer:

3/5

Step-by-step explanation:

of the 50 participants 20 of them will get drink A. This probability is 20/50 which simplified is 2/5. The other 30 participants will get drinks B, C, or D. As a fraction this is equal to 30/50 or 3/5.  Therefore the probability of a participant not sampling drink A is 3/5.

Ben's weekly unemployment compensation is $956.15

A percentage is a number or ratio expressed as a fraction of 100. It is generally denoted using the percent sign ''%''.

Now it is given that,

Weekly unemployment compensation = 55%

Ben earned a total in July, August, and September = $22,400

And in October, November, and December = $22,800

Therefore, his total compensation for the six month period = $22,400 + $22,800 = $45,200

his average weekly salary = $45,200 / 26 weeks = $1,738.46

Ben's unemployment compensation = $1,738.46 x 55% = $956.15

Hence,Ben's weekly unemployment compensation is $956.15

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To determine Ben's weekly unemployment compensation, we need to calculate the average of his two highest-salaried quarters and then multiply it by 55%.

Therefore, Ben's weekly unemployment compensation is $4,106.67.

To determine Ben's weekly unemployment compensation, we need to calculate the average of his two highest-salaried quarters and then multiply it by 55%. First, let's calculate the average for each quarter:

Next, let's determine the two highest averages:

Now, we can calculate the weekly unemployment compensation:

The highest average * 55% = $7,600 * 0.55 = $4,180

The second highest average * 55% = $7,466.67 * 0.55 = $4,106.67

Therefore, Ben's weekly unemployment compensation is $4,106.67.

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