The area of an equilateral triangle is 25√3 . Determine the lengths of its sides and its altitude.

The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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Answer: 143

Step-by-step explanation:

Again all the angles should be 360 so

x=360-127-51-39

x=143

Answer:

1. x - 1

2. \(\sqrt{x^2-1}\)

Step-by-step explanation:

\(f(g(x)) = \sqrt{x+1}^2 - 2\\ = x + 1 - 2\\= x - 1\)

\(g(f(x)) =\sqrt{x^2-2+1}\\ = \sqrt{x^2-1}\)

Answer:35 for x and 30 for y

i think srry if im wrong

Step-by-step explanation:

Answer:

Franks fish weighs .42 lbs

Step-by-step explanation:

.7 * .6 = .42

Answer:

1.4166666667 liters. hope this helps man

The mean for the short-term parking spaces in 9 airports is =

3758.4444.

Average is another word for "mean." For instance, if we say that the average height of the 9th grade class is 150 cm, it signifies that this is the mean of all of the kids' heights.

The statistical notion of mean, which is employed in a variety of financial areas and corporate appraisal, has significant financial implications. The three statistical indicators of the central tendency of a data set are mean, median, and mode.

Now in the question, to find mean,

(5575 + 5617 + 3324 + 7860 + 494 + 3204 + 275 + 6899 + 578)/9

= 3758.4444

Therefore, the mean of the 9 airports = 3758.4444

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Answer:

Grace got 180

Step-by-step explanation:

17 + 15 + 4 = 36 total parts to the whole amount

Mike got 4 parts which equal 48 so each part is 48/4 = 12

Jack got 17 x 12 = 204

Grace got 15 x 12 = 180

Answer: 7 units

Step-by-step explanation:

By using a statistical calculator, the actual sample mean and sample standard deviation are:

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:

Mean = ∑x/(n - 1)

In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:

Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)

By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

You graph (x,y) what this means is what the first number is (x) you graph on the bottom line on the number it gave you next you have (y) you graph this one on the line going up. If that makes sense

Step-by-step explanation:

Check the picture below.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{22}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{PQ} \end{cases} \\\\\\ PQ=\sqrt{ 22^2 - 6^2}\implies PQ=\sqrt{ 484 - 36 } \implies PQ=\sqrt{ 448 }\implies PQ\approx 21.17\)

\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)

\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

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Answer:

(a). The mean speed is 760 m/s.

(b). The standard deviation for our normal model is 142.1 m/s.

(c). The unusual speed is 1127 m/s.

(d). The average molecule speed is 929.48 m/s.

Step-by-step explanation:

Given that,

Molecules in the air are moving with speeds based on the normal model.

Let x be the speed of the molecules.

(a). If half of the air molecules are moving faster than 760 m/s.

We can say speed of a molecules is normally distributed.

So, the mean, median and mode of this distribution is at least greater than 760 m/s.

(b). If exactly 95% of the molecules are moving with speeds between 475.8 m/s and 1044.2 m/s,

If the standard deviation is σ and the mean is μ,

We need to calculate the standard deviation for our normal model

Using empirical rule

\(\mu-2\sigma=475.8\)...(I)

\(\mu+2\sigma=1044.2\)....(II)

Put the value of μ in equation (I)

\(760-2\sigma=475.8\)

\(-\sigma=\dfrac{475.8-760}{2}\)

\(\sigma=142.1\ m/s\)

(c). One molecule is found to be moving with a speed of 1127 m/s.

We know that,

1127 is the between 1126 and 1128.

Since, it is a continuous distribution,

We need to find the probability that speed is between this

Using excel function

\(P(1126<x<1128)=P(x<1128)-P(x<1126)\)

\(P(1126<x<1128)=0.0002\)

We know that,

Any probability less than 0.05 is considered as unusual

So, 0.0002<0.05

So, 1127 will be considered as the unusual speed.

(d). If the temperature increase caused the z-score of a particle moving at 1100 m/s particle to drop to 1.2 after the temperature increase.

We need to calculate the average molecule speed

Using formula of average molecule speed

\(z=\dfrac{x-\mu'}{\sigma}\)

\(-\mu'=z\sigma-x\)

Put the value in to the formula

\(-\mu'=1.2\times142.1-1100\)

\(\mu'=929.48\ m/s\)

Hence, (a). The mean speed is 760 m/s.

(b). The standard deviation for our normal model is 142.1 m/s.

(c). The unusual speed is 1127 m/s.

(d). The average molecule speed is 929.48 m/s.

Answer:

A =  6  +  B /x −  4 /x

B  =  Ax  +  4  −  6 x

x = b-4/a-6

Step-by-step explanation:

hope this helps :)

The values of A and B that will result in an equation with infinite solutions are 6 and 4

For an equation to have infinite number of solutions, the equations on both sides must be the same,

Given the equation

Ax + 4 = 6x + B

If the equation has infinite number of solution, then

Ax = 6x

A= 6

Similarly

4 = B

B = 4

Hence the values of A and B that will result in an equation with infinite solutions are 6 and 4

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Answer:

c is the correct answer

Step-by-step explanation:

Step-by-step explanation:

Given the entry fee of $35, the additional hourly rate of $5, and the total cost of $60:

The independent variable in this given problem is the number of hours, while the dependent variable is the total cost.  

An easier way to understand these concepts is to realize that the total cost depends on the number of hours you spend at the Snow Play Ski Park. The total cost changes by $5 for every hour you spend at the park.

The $35 entry fee is the constant, or the y-intercept. It is the initial cost that you have to pay given the 0 number of hours spent at the park.

The function that represents the given situation is:

C(x) = 5x + 35

In order to determine how long can you be at the Snow Play Ski Park, substitute $60 as C(x) into the function:

C(x) = 5x + 35

60 = 5x + 35

Subtract 35 from both sides:

60 - 35 = 5x + 35 - 35

25 = 5x

Divide both sides by 5 to solve for x:

\(\frac{25}{5} = \frac{5x}{5}\)

x = 5

Therefore, if you have $60, then you can be at the Snow Play Ski Park for up to 5 hours.  

Note:

Please feel free to change the letter that represents the function to f ( x ) for Part B, if needed.

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.

From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.

To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.

We can use the formula for the nth term of a geometric sequence:

An = A1 * r^(n-1)

In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.

Since we know A3 and the common ratio, we can substitute these values into the formula:

60 =\(A1 * (160/60)^(3-1)\)

Simplifying this equation, we have:

\(60 = A1 * (8/3)^260 = A1 * (64/9)\)

To isolate A1, we divide both sides of the equation by (64/9):

A1 = 60 / (64/9)

Simplifying further, we have:

A1 = 540/64 = 67.5/8.

Therefore, the first term of the sequence (A1) is 67.5/8.

Now that we know A1 and the common ratio, we can find Az using the formula:

Az = A1 * r^(z-1)

Substituting the values, we have:

Az =\((67.5/8) * (160/60)^(z-1)\)

However, we now have the formula to calculate it once we know the position z in the sequence.

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Answer:

Ivy initially put $ 650 in the account.

Step-by-step explanation:

Given that Ivy deposited some money into a savings account that earns 1% annual simple interest, and at the end of 5 years, she earned $ 32.50 in interest, to determine how much money did she put into the account initially, the following calculation must be performed:

32.50 / 5 = 6.5

1 = 6.5

100 = X

100 x 6.5 = X

650 = X

Therefore, Ivy initially put $ 650 in the account.

Answer:

15

Step-by-step explanation:

There is insufficient information so the joint probability mass function of X and Y.

given that

there are three bowls they are a red bowl , a green bowl and a blue bowl  are on the kitchen table

alan places one egg into a randomly selected bowl.

X = # of eggs placed into the red bowl

Y = # of empty bowls at the end of the experiment.

the joint probability mass function of X and Y

1. Not sufficient

R=5

let us consider when G = 2 , B = 1 => P(G) = 2/8

when G=1, B=2 => P(G) = 1/8

2. Not Sufficient

P(B) = 1/3 = x/3x

But this doesn't tell us anything about B or total because P(B) = 1/3 , but it could also be 2/6 or 3/9 so on..

So we can have different B . Thus we can have different G combinations.

Together - Not Sufficient

P(B) = x/(3x) , R = 5

P(G) = 1- P( not G )

= 1- P(R or B)

But we cannot calculate this with out knowing P(R) and P(B).

we cannot solve this problem because there is no proper information is given.

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Answer:

0.964

0.959

0.961

0.958

0.963

Step-by-step explanation:

Anything below 5 can be rounded down, anything above 5 can be rounded up.

You can have a decimal after 0.96 to be less than 5, or a decimal after 0.95 to be greater than 5.

Here's some I picked:

0.964

0.959

0.961

0.958

0.963

please don't know what to do 3about I am going through the silence of my own thoughts on this you will be able and my brother to make the world but you will not come to Nepa with you and say you will come in your house is like the one of your daughters of God in your heart to 8be to make the Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.

a) The probability that the homeowner will get less than $260,000 if he leaves the house on the market for another month is equal to the area under the probability density function (PDF) of the uniform distribution from $245,000$ to $260,000$. Since the distribution is uniform, the PDF is constant over the interval of interest, and its value is $\frac{1}{270000-245000}=\frac{1}{25000}$. Therefore, the probability is:

�

(

selling price

<

260

,

000

)

=

260

,

000

−

245

,

000

25

,

000

=

0.6

P(selling price<260,000)=

25,000

260,000−245,000

​

=0.6

b) Similarly, the probability that the homeowner will get more than $260,000$ if he leaves the house on the market for another month is equal to the area under the PDF of the uniform distribution from $260,000$ to $270,000$. Therefore, the probability is:

�

(

selling price

>

260

,

000

)

=

270

,

000

−

260

,

000

25

,

000

=

0.4

P(selling price>260,000)=

25,000

270,000−260,000

​

=0.4

c) The probabilities calculated in parts a) and b) provide a way to assess the risk and potential benefit of leaving the house on the market for another month. If the homeowner is risk-averse and prefers a certain outcome, then he should take the $260,000 offer, since the probability of getting less than $260,000 is higher than the probability of getting more. On the other hand, if the homeowner is willing to take a risk for the potential benefit of a higher selling price, then he should leave the house on the market for another month. Ultimately, the decision will depend on the homeowner's risk preferences and other personal circumstances.

Answer:

a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C

a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C

b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C

b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C

Answer:

17/5

Step-by-step explanation:

v=2+(-7×1/5)

=2+7/5

=10+7/5

=17/5

The value of v is obtained as -1.5.

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

The given equation is v = u + at

And, the values of u, a and t are given as 2, -7 and 0.5 respectively.

Now, substitute the values of the quantities given in the problem to obtain,

v = u + at

=> v = 2 + -7 × 0.5

       = 2 - 3.5

       = -1.5

Hence, the value of v for the given equation is given as -1.5.

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