What is the difference in the costs for a one-night stay with and without breakfast?

Answer: {x | x is a season}

Step-by-step explanation:

Spring, summer, autumn, and winter are all seasons.

Answer:

C=98°

Step-by-step explanation:

125°- 27°

=98°

Using the normal distribution, it is found that 16.43% of adults in the US qualify for stage 1.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Researching the problem on the internet, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 122, \sigma = 22[/tex].

The proportion of adults in the US qualify for stage 1 is the p-value of Z when X = 160 subtracted by the p-value of Z when X = 140, hence:

X = 160:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{160 - 122}{22}[/tex]

Z = 1.73

Z = 1.73 has a p-value of 0.9582.

X = 140:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{140 - 122}{22}[/tex]

Z = 0.82

Z = 0.82 has a p-value of 0.7939.

0.9582 - 0.7939 = 0.1643.

0.1643 = 16.43% of adults in the US qualify for stage 1.

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Answer:

Step-by-step explanation:

Given that Base radius of cone is 6 cm and height is 10 cm and we need to find volume of the cone. Volume of cone is given by:

[tex] \\ \: \: \dashrightarrow \: \: \: \underline{\boxed{\pmb{\sf{Volume_{(cone)} = \dfrac{1}{3} \pi r^2 h }}}} \\ \\ [/tex]

On Substituting the required values, we get:

[tex] \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1}{3} \times \pi \times {(6)}^{2} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1} {\cancel{3}} \times \pi \times \cancel{36} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \pi \times 12 \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: \: { \purple{Volume_{(cone)} =120 \pi \: cm^3 }}\\ \\ [/tex]

Answer:

The number is 111

Step-by-step explanation:

284-62= 222

2x111=284

Answer:

x = 111.

Step-by-step explanation:

Based on the given conditions, formulate: 2 * x = 284 - 62 Calculate the sum or difference:2 x = 222

Answer:

The correct answer is supposed to be 3.36

Step-by-step explanation:

Add up all the numbers:

4 + 3.7 + 3.4 + 3 + 2.7  = 16.8

Divide by how many numbers there are:

16.8 ÷ 5 = 3.36

The domain of the linear equation y = -x will be a real number and the range of the linear equation y = -x will be a real number.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

For the following exercise.

Then the domain and range of the function below using interval notation.

The table is given below.

Then the linear equation that is passing through (1, -1) and (2, -2). Then we have

y + 1 = -x + 1

    y = -x

Then the domain of the linear equation y = -x will be a real number and the range of the linear equation y = -x will be a real number.

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Answer:

In mathematics or logic, an axiom is an unprovable rule or first principle accepted as true because it is self-evident or particularly useful.

Now

AB

Answer:

24.03 units (nearest hundredth)

Step-by-step explanation:

The distance between B and A is:  AB = AH + HB

We have been given AH, so we just need to find the measure of HB.

First, find the angle AOH using tan trig ratio:

[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

[tex]\implies \sf \tan(\angle AOH)=\dfrac{8}{19.8}[/tex]

[tex]\implies \sf \angle AOH = 22.00069835^{\circ}[/tex]

   ∠BOA = ∠BOH + ∠AOH

⇒ ∠BOH = ∠BOA - ∠AOH

⇒ ∠BOH = 61° - 22.00069835°

               = 38.99930165°

Now we can find HB by again using the tan trig ratio:

Given:

Substituting given values:

[tex]\implies \sf \tan(38.99930165^{\circ})=\dfrac{HB}{19.80}[/tex]

[tex]\implies \sf HB=19.80 \tan(38.99930165^{\circ})[/tex]

[tex]\implies \sf HB=16.03332427[/tex]

Therefore:

   AB = AH + BH

⇒ AB = 8 + 16.03332427

         = 24.03 units (nearest hundredth)

4. If v = -2i - 7j, then its magnitude is

||v|| = √((-2)² + (-7)²) = √53

and the unit vector in the direction of v is

[tex]\dfrac{v}{\|v\|} = \boxed{-\dfrac2{\sqrt{53}} \, \vec\imath - \dfrac7{\sqrt{53}} \, \vec\jmath}[/tex]

5. Given u = i + 2j and v = -i + 5j, we have

u • v = (i + 2j) • (-i + 5j) = -(i • i) - 2 (j • i) + 5 (i • j) + 10 (j • j)

Since i and j are orthogonal unit vectors, we have i • i = j • j = 1 and i • j = 0, so the product reduces to

u • v = -1 - 0 + 0 + 10 = 9

The time needed to travel between points A and B when the speed is 800 km/hour; 250 km/hour; 120 km/hour are 2.25 hours, 7.2 hours and 15 hours, respectively

Given the distance and speed, the time taken to move between points is calculated using:

Time = Distance/Speed

The required graph is not given.

So, we assume that the distance between both points is:

Distance = 1800km

Using the assumed value above, we have:

When speed = 800km/hr

Time = 1800/800

Time = 2.25 hours

When speed = 250km/hr

Time = 1800/250

Time = 7.2 hours

When speed = 120km/hr

Time = 1800/120

Time = 15 hours

Hence, the time needed to travel between points A and B when the speed is 800 km/hour; 250 km/hour; 120 km/hour are 2.25 hours, 7.2 hours and 15 hours, respectively

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Answer:

The mean would be 29 and the median would be 17

Step-by-step explanation:

Hope this helps! :)

Step-by-step explanation:

-10+7=-3 because 10 i greater and (-)(+)=-

-8-3=-11 because the greatest number is in negative form that's why its not in positive form

Hey there!

Guide:

Negative & negative = positive

Positive & positive = positive

Negative & positive = negative

Positive & negative = negative

For -10 + 7 = -3 it doesn’t give you a POSITIVE because you’re working with a negative (-10) and a positive (7), which it results out to be a negative number (-3)

Whereas, -8 - 3 = -11, it doesn’t also give you a positive because you’re working with a negative (-8) and a somewhat positive (3 or -3 it depends how you look at the equation), it gave you a negative result (-11).

KEEP THAT GUIDE IN MIND WHEN YOURE WORKING WITH INTEGERS, IT MAY HELP ON THE LONG WRONG! :)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The amount of water that is needed to be added to the 12% concentration solution to make it 11% concentrated is 2 ml.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the alcohol solution of 22 ml has a 12% of concentration. Therefore, the amount of alcohol in the solution is,

12% of 22ml = 2.64ml

Since the amount of alcohol should be the same while the concentration should be diluted, therefore, the amount of alcohol in the final solution can be written as,

[tex]11\%\ of\ x = 2.64{\rm\ ml}\\\\\dfrac{11}{100} \times x = 2.64\\\\x = 24\rm\ ml[/tex]

As the total solution with 12% concentration was 22 ml, while the total solution with 11% concentration was 24 ml.

Hence, the amount of water that is needed to be added to the 12% concentration solution to make it 11% concentrated is 2 ml.

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Answer:

Carbon dioxide

Step-by-step explanation:

I think it’s carbon dioxide because, it is the most significant greenhouse gas. I also think it’s the carbon dioxide because the question is asking which one it is and I chose carbon dioxide.

Answer:here the answer

Step-by-step explanation:

....

Answer:

27.23 inches

Step-by-step explanation:

question wants circumference over 2π/3 radians

2π/3 times 180/π = 120 degrees

120 is 1/3 of 360

so question wants 1/3 of the circumference

circumference is π times diameter

π times 26 = 81.6814089933

81.6814089933 divided by 3 =

27.2271363311 =

27.23

Answer:= 0.124688 oz per fl

Step-by-step explanation:

This is a fraction equal to

3.99 oz ÷ 32 fl

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 32

3.99 oz ÷ 32

32 fl ÷ 32

=

0.124688 oz

1 fl

=

0.124688 oz

fl

= 0.124688 oz pe

Answer:

B. 362880

Step-by-step explanation:

! means permutation which means

arrangement of people or things in

sequence or

linear order

9! = 362880

9! = 9*8*7*6*5*4*3*2*1 = 362880

The linear equation that passes through points (-2,7) and (6,-9) is given by:

y = -2x + 3

A linear function is modeled by:

y = mx + b

In which:

The line passes through points (-2,7) and (6,-9), hence the slope is given by:

m = (-9 - 7)/(6 - (-2)) = -2.

Hence, since when x = -2, y = 7, when x = 0, y = 7 - 2 x (0 - (-2)) = 3, which means that the y-intercept is of b = 3, and the equation is given by:

y = -2x + 3.

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Answer:

f(x + 2) = 4x² + 16x + 13

Step-by-step explanation:

f(x) = 4x² - 3

Then

f(x + 2) = 4(x + 2)² - 3

           = 4(x² + 4x + 2²) - 3

           = 4(x² + 4x + 4) - 3

           = 4x² + 16x + 16 - 3

           = 4x² + 16x + 13

The pairs of triangles can be proven congruent through HL is option A.

Answer:

0.5 feet

Step-by-step explanation:

Volume = Length × Width × Depth

Here :

Solving :

Answer:

6

Step-by-step explanation:

The number of students in the next 12 to enroll should you expect to be undergraduate students is 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.

From the table,

Total number of students = 7 + 2 + 9 = 18

Number of undergraduates = 9

Probability of having a undergraduate student to enroll = 9/18 = 1/2

When the next 12 students are enrolled,

Number of undergraduates = 1/2 × 12 = 6

Hence 6 students are expected to be undergraduates in the next 12 students.

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The integration of the provided integration expression which is evaluated without using the beta function is equal to 1/1011.

It is the reverse of differentiation. The differentiation is the rate of change of the function with respect to variables.

The integration is given below.

[tex]\rightarrow \rm \int _0^{\infty} \dfrac{x^{1010}}{(1 +x)^{2022}} \ dx[/tex]

Then the integration can be written as

[tex]\rightarrow \rm \int _0^{\infty} \dfrac{x^{1010}}{[(1 +x)^{1011}]^2} \ dx[/tex]

Let (1 + x)¹⁰¹¹ = t. Then 1011x¹⁰¹⁰ dx = dt.

Then we have

[tex]\rightarrow \int_{1}^{\infty } \dfrac{dt}{1011 \ t^2}[/tex]

Then integrate

[tex]\rightarrow \dfrac{1}{1011} \left [ \dfrac{-1}{t} \right ]_{1}^{\infty }\\\\\\\rightarrow \dfrac{1}{1011} \left [ \dfrac{1}{t} \right ]^{1}_{\infty }\\\\\\\rightarrow \dfrac{1}{1011} \left [ 1- 0 \right ]\\\\\\\rightarrow \dfrac{1}{1011}[/tex]

The integration of the provided integration expression which is evaluated without using the beta function is equal to 1/1011.

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Answer:

120

Step-by-step explanation:

120 copies sold yesterday

Answer:

a = 13.24 m

Step-by-step explanation:

Finding ∠A :

Applying the Law of Sines :

Answer:

  13.2 m

Step-by-step explanation:

The Law of Sines can be used to solve a triangle when angles and one side are known.

__

The angles of a triangle total 180°, so the missing angle A is ...

  ∠A = 180° -48° -54° = 78°

The Law of Sines tells us ...

  a/sin(A) = b/sin(B)

  a/sin(78°) = (10.0 m)/sin(48°)

__

Multiplying by sin(78°), we find ...

  a = sin(78°)/sin(48°)×(10.0 m) ≈ 0.978148/0.743145×(10.0 m)

  a = 13.1623 m

The length of side 'a' is approximately 13.2 meters.

Answer:

  a.  2, 3, 6

  b.  a/b × c = 1

  c.  a = 2, b = 6, c = 3  or  a = 3, b = 6, c = 2

Step-by-step explanation:

Apparently, Erica wants to multiply a fraction by a whole number to get a result of 1. That means the fraction is the multiplicative inverse of the whole number.

__

There is only one set of three unique numbers among those given such that one of them is a composite number with the other two as factors. Erica must choose 2, 3, and 6.

__

If the three numbers are represented by a, b, c, Erica wants ...

  a/b × c = 1

__

Multiplying the equation by b gives ...

  ac = b

Among the numbers 1–6, only 2×3 = 6 will satisfy this equation. Erica can choose either of ...

  a = 2, b = 6, c = 3   ⇒   (2/6)×3 = 1

  a = 3, b = 6, c = 2   ⇒   (3/6)×2 = 1

__

No scoring information is provided.