What is the probability that the number among the 25 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated?

Answer:

Hope it helps

Have a good day

Answer:

x = 65

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles from 180° for third angle

third angle = 180° - (60 + 55)° = 180° - 115° = 65°

65° and x are vertical angles and are congruent, thus

x = 65

Answer:

x = 65 degrees

Step-by-step explanation:

Three angles are marked with their values:  55 and  60 degrees.  Thus, the third interior angle of the left triangle (unmarked) is 180 degrees - (115) degrees = 65 degrees.

This 65 degree angle and x are vertical angles.  Thus, x = 65 degrees.  This plus y form a straight angle, so y = 180 degrees - 65 degrees = 115 degrees.

Answer:

a) A = 36π in² ≈ 113.09 in²

b)  $0.98 per slice

c) $0.09 per square inch

Step-by-step explanation:

a) area = πr²

    r= diameter/2 = 12/2 = 6

    A = π(6)²

    A = 36π in² ≈ 113.09 in²

b) s = price per slice

   s = 9.75 ÷ 10

   s = $0.975 ≈ $0.98

c) price per square inch = price ÷ area

   = 9.75 ÷ 113.09

   = $0.086 ≈ $0.09 per square inch

Answer: 18

Step-by-step explanation:

Answer:

4, 1, 6

Step-by-step explanation:

The coefficient of x is 4

The coefficient of y is 1

The coefficient of z is 6

The coefficient of a variable is the number that appears before it.

Answer:

The answer is C because I dont know

Answer: The total boats in the marina are 105.

Step-by-step explanation:

Let the total number of boats in the marina = x

Given : Number of white boats in the marina = [tex]\frac{2}{3}x[/tex]

Number of blue boats in the marina = [tex]\frac{4}{7}\times (x-\frac{2x}{3})=\frac{4}{7}\times \frac{x}{3}=\frac{4x}{21}[/tex]

Number of red boats in the marina = [tex]x-\frac{2x}{3}-\frac{4x}{21}=\frac{3x}{21}[/tex]

Given : Number of red boats in the marina = 15

[tex]\frac{3}{21}\times x=15[/tex]

[tex]x=105[/tex]

Thus total boats in the marina are 105.

By working with fractions and proportions, we will see that there are 105 boats in the marina.

Let's say that there are N boats in the marina, we know that:

2/3 of these are white, then the proportion of boats that are not white is:

1 - 2/3 = 3/3 - 2/3 = 1/3.

Of these, 4/7 are blue, then the proportion of red ones is:

1 - 4/7 = 7/7 - 4/7 = 3/7

The total proportion of red boats is:

(3/7)*(1/3) = 1/7

And we know that there are 15 red boats, this means that:

(1/7)*N = 15

Solving for N we get:

N = 7*15 = 105

So there are 105 boats in the marina.

If you want to learn more about fractions, you can read:

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Answer:

x>−5

Step-by-step explanation:

Answer:

You did not provide an image for the graph, but the graph that would represent your function would look like this:

Answer:

it should be letter A

Step-by-step explanation:

Answer:

the answer is false

Step-by-step explanation:

just cause it is

Answer:

yes

Step-by-step explanation:

Move 4x to the right to get y= -4x + 5. This is a linear equation because the graph of it is a straight line.

Answer:

The answer is D

Step-by-step explanation:

If you add them all, and divide them it wouldn’t get 14.5

Answer:

No, the mean should be higher.

Step-by-step explanation:

Have a good day :)

Answer:

[tex]P(E) = 26 \%[/tex]

Step-by-step explanation:

Given

[tex]P(F) = 46\%[/tex]

[tex]P(E\ and\ F) = 10\%[/tex]

[tex]P(E\ or\ F) = 62\%[/tex]

Required

Find P(E)

In probability:

[tex]P(E\ and\ F) = P(E) + P(F) - p(E\ or\ F)[/tex]

Substitute the right values

[tex]10\% = P(E) + 46\% - 62\%[/tex]

[tex]10\% = P(E) -16 \%[/tex]

Collect Like Terms

[tex]P(E) = 10\% +16 \%[/tex]

[tex]P(E) = 26 \%[/tex]

It is a probability because all probabilities are within the range 0 to 100%

Answer:

13 1/2 is your answer.

Step-by-step explanation:

With the same ratio the time taken Mitch to mow 9 lawns will be 13 + 1/2 thus option (D) is correct.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

Saul can cut 4 lawns in 6 hours.

The ratio of hours to lawns will be as,

6/4

Suppose the time taken to mow 9 lawns to Mitch is x hours.

The ratio of hours to lawns will be as

x/9

Since the rate is the same thus ratio must be the same.

x/9 =  6/4

x = 6/4 x 9

x = 13.5 = 13 + 1/2

Hence"With the same ratio, the time taken Mitch to mow 9 lawns will be 13 + 1/2".

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Answer:

5x-10

Step-by-step explanation:

Answer:

5x-10

Step-by-step explanation:

You can add the x together, 2+3 is 5 so we have 5x.

The you add the other numbers, -8+-2 is -10.

You then can put the addition in, and have 5x+-10. Since 10 is a negative, there's no need to put the addition sign, so 5x-10 would be the answer.

Answer:

It is hard to see the numbers.

But I am pretty sure it is 6x+6.

Step-by-step explanation:

Hope this helps! :D

Answer:

(2,1)

Step-by-step explanation:

bro if im wrong blame me-- but yeah

Step-by-step explanation:

(2.3)^2 +5^2= ?

=6^2 +5^2

= 61

Answer:

THXSSSS UUUU SWOOOO MUCHHHHHHH

Step-by-step explanation:

Answer: C.

Step-by-step explanation:

The answer is C. i believe

You have to subtract 2 by 7x = 33    

I hope this helps!

Answer:

982.5

Step-by-step explanation:

1 cm = 10 mm

98.25 cm * 10mm =

982.5

Answer:

The area of this trapezoid is 8cm

Answer:

130

Step-by-step explanation:

first decompose the trapezoid into a square in the middle and 2 triangles on the left/right side, both triangles are congruent so you only find the area of one triangle, which is 9 because do 2x9 = 18/2 = 9, now let's move on to the middle square 14 x 18 = 112, then you add them all up remember there are 2 triangles,

112 + 9 + 9 = 130

Answer:

$24000

Step-by-step explanation:

so we can make an algebraic equation with these values

21000=7/8x

divide both sides by 7

3000=1/8x

multiply both sides by 8

x=24000

Answer:

40 feet.

Step-by-step explanation:

The height of the Ferris Wheel is modeled by:

[tex]\displaystyle H(t)=-16\cos\Big(\frac{t}{45}\Big)+24[/tex]

Where H(t) is the height (in feet (assuming)) and t is the time in seconds.

Remember that the value of cosine, regardless of the input, will always be between -1 and 1. That is:

[tex]-1\leq \cos(t)\leq 1[/tex]

So, we can use the two maximums. Testing -1 and 1, we get:

[tex]H(t)=-16(1)+24=8[/tex]

And:

[tex]H(t)=-16(-1)+24=40[/tex]

Therefore, the maximum height of a cabin of the Ferris Wheel will be 40 feet in the air.

Notes:

And the minimum height will be 8 feet.

We are not asked to find t. To do so, however, set H(t) = 40 and find the general solution for t.

The English translation of the question is

A reservoir was full at the end of May. In the month of June 3/10 of its reserves were consumed and at the end of July only half remained. What fraction of the reservoir was consumed during the month of July?

Answer:

1/5 of the Reservoir will be consumed in the month of July.    

Step-by-step explanation:

We are given

Full reservoir at the end of month May. In the month of June 3/10 of the reservoir was consumed.

Amount present in the Reservoir at the end of the month June will be = 1 -3/10

                                                                                                          = 7/10

Now this 7/10 of the Reservoir will be used for the next month which is July

It is given that at the end of July only 1/2 of the Reservoir is remained that means the amount that was left at the end of the Month June will be used for the month July. So the amount consumed in the month of July will be

    Amount consumed  =  7/10 - 1/2

                                     = 2/10 = 1/5

Therefore 1/5 of the reservoir will be consumed in the month of July.    

Answer:

I think 8

Step-by-step explanation:

i think 8 because if you have 1 meter with .5 a meter shadow then i would think 16 meters would cast half of itself which would be 8

sorry if im totally wrong

Answer:

Simplified= 7x+6 When x=3 the expression=27

Step-by-step explanation:

Hey there! Your answer to this problem is 2160..

Explanantion:

Since every car Sara sells, she gets 9% of the commission, this means that at the last few step, we would have to give 9% of the total cost to Sara.

If 100% is 20,000, then 50% would be 10,000. But we have to find the cost of 20%. So what we would actually be doing is multiplying 20 with 0.01. 20x0.01 is 0.2 or 0.20.

Then you add the 4,000 to the 20,000 because it states, “the next day, they sold the car 20% more than they paid. This means that you’ll have to add it. 20,000 plus 4000 would be 24,000. So 24,000 would be the cost of the car they sold.

However they didn’t wanna know the cost of the car, they wanted to know how much Sara would get. So you would have to take 9% of the cost of the cost which would be 2,160.

Final result: $2,160

Answer:

5km

Step-by-step explanation:

1/2xbxh

1/2x 2x5= 5

Answer:

5 km.

Step-by-step explanation:

1/2 times base times height.

1/2 times 5 times 2

= 5

Answer:

1.Neither

2.Discrete

3.Discrete

4. Continuous

Step-by-step explanation:

Discrete Data can only take certain values. The number of students in a class

We can't have half a student!

1. The graph in option 1 is Neither.

2. The graph in option 2 is discrete.

3. The graph in option 3 is discrete.

4. The graph in option 4 is continuous.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. In discrete mathematics, and more specifically in graph theory.

A graph is a structure consisting of a set of objects, some of which are "related" in some way. The objects correspond to mathematical abstractions known as vertices, and each pair of related vertices is known as an edge.

1. The graph in option 1 is Neither. It is not discrete and continuous.

2. The graph in option 2 is discrete. The values of the data are not in a specific pattern.

3. The graph in option 3 is discrete. The values of the data are not in a specific pattern.

4. The graph in option 4 is continuous. The points in the graph are varying continuously.

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