Find the equation for the
following parabola.
Vertex (2, 3)
Focus (7,3)

Answer:

x = 29

Step-by-step explanation:

8(5x-3)-11(3x+7)=102

40x - 24 - 33x - 77 = 102

7x - 101 = 102

7x = 203

x = 29

Answer:

X=29

Step-by-step explanation:

Answer:

Given that x = 5.7 m and θ = 43°, work out BC rounded to 3 SF

Answer:

A. Population A will require a larger sample size.

Step-by-step explanation:

A highly skewed distribution shows that too much data is concentrated where it is highly skewed.

If the sample size in increased the data may not concentrate at the same point and the skewness is normal that is it is mesokurtic.

The normal curve called the mesokurtic is neither very peaked nor very flat topped.

Populations A and B cannot have the same sample size as there is difference in their skewness.

Therefore option C and D are incorrect.

Option B is also incorrect because if  B will require a larger sample size then the skewness may almost finish and the data may have the same concentration at all points.It will become flat topped i.e platy kurtic.

So only option A is correct.

In creasing the sample size will make the curve normal and mesokurtic.

Answer:

25.7 lbs

Step-by-step explanation:

189/100=1.89

1.89*13.6=25.704

25.7 lbs

Answer:

25.7

Step-by-step explanation:

You need to do 13.6 percent of 189 which is 25.704 without rounding

Round that to the nearest tenth and you have 25.7

Hope I helped :)

Answer:

22 cm

Step-by-step explanation:

Simply count the number of square units of each side, then add them up. (each square unit = 1 cm)

4+4+2+3+2+7

= 22 cm

Answer:

1/3

Step-by-step explanation:

y = mx + b

m is the slope and b is your y-intercept.

Answer:

m = 1/3

Step-by-step explanation:

Answer:

150 yd

Step-by-step explanation:

Since the line segment is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides , that is

[tex]\frac{250}{375}[/tex] = [tex]\frac{x}{225}[/tex] ( x is the distance from the hole to the oak tree )

Cross- multiply

375x = 56250 ( divide both sides by 375 )

x = 150

The hole is 150 yards from the oak tree.

Answer:

n/3+2 =-2

n+6=-6

n=-12 is your answer

Answer:

B

Step-by-step explanation:

Given

[tex]\frac{n}{3}[/tex] + 2 = - 2 ( subtract 2 from both sides )

[tex]\frac{n}{3}[/tex] = - 4 ( multiply both sides by 3 to clear the fraction )

n = - 12 → B

The quotient of the fractions 2/3 divided by 5/4 is 8/20

A fraction can be simply described as the part of a whole variable, number or element.

There are several types of fractions in mathematics, which includes;

Quotient can simply be described as the product of division of two numbers or variables,

From the information given, we have;

2/3 ÷ 5/4

take the inverse of the divisor and multiply

2/3 × 4/5

Multiply the values

8/20

Hence, the value is 8/20

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Complete question :

The exponential model A=16.2e^0.01t describes the population, A, of a country in millions, t years after 2003. What was the population in 2003?

Answer:

16.2 million

Step-by-step explanation:

Given the equation :

A=16.2e^0.01^t

Where, t = number of years after 2003

The population in year 2003 ; can be obtained thus ;

t = 2003 - 2003 = 0

Put t = 0 in the equation :

A(0) =16.2e^0.01^0

A(0) = 16.2 * 1

A(0) = 16.2

Hence, population in 2003 is 16.2 million

Answer:

18

Step-by-step explanation:

6 friends times 5 cookies is 30 cookies in total

30 cookies minus 12 cookies already made is 18!

Answer: 18 cookies

Step-by-step explanation:

Tara invites 6 friends, each friend gets 5 cookies.

So, 6 x 5 to find how many cookies are for 6 friends.

6 x 5

= 30 cookies

Tara only has 12 cookies. How much more does she need?

Everyone should get 30 cookies, but there is only 12.

Subtract to find the difference!

30-12=18

Answer:

time in weeks

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

Answer:

im pretty sure it is D

Step-by-step explanation:

option ( C )

5

...........

Answer:

C. 5

Step-by-step explanation:

The degree is the highest exponent in the polynomial and in the polynomial given, 3x^5 has the highest exponent, being 5, so that would be the degree.

Hope this helps :)

Answer:

The radicals are the power of the same base so they can be written using rational exponents. Simplified the quotient of the exponential expression by getting a common denominator and subtracting exponents. The simplified expression is the 4th root of y

Step-by-step explanation:

Answer:

Step-by-step explanation:

The radicals are the power of the same base so they can be written using rational exponents. Simplified the quotient of the exponential expression by getting a common denominator and subtracting exponents. The simplified expression is the 4th root of y,

Answer:

420

Step-by-step explanation:

volume = length x width x height

12 x 5 x 7 = 420

Answer:7

Step-by-step explanation:

t < 7 gives the solution of inequality 3t + 7 < 28

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given inequality

3t + 7 < 28

⇒ 3t < 28 - 7

⇒ 3t < 21

⇒ t < [tex]\frac{21}{3}[/tex]

⇒ t < 7

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Answer:

C) H

Step-by-step explanation:

It can only be a function when every y has a different x. There cannot be an x with multiple y’s

Answer:

Step-by-step explanation:

Your y= -x2 -10x +1 should be written as y = -x^2 -10x +1.  This is a quadratic function.  Because the coefficient (-1) of the x^2 term is negative, we know immediately that the graph (a parabola) opens down, and thus has a maximum.

The Answer is $7.00 because 46.95 x 0.15 is 7.0425 which is about $7

Answer:

The answer is: 7/3 or if ya want it simplified ( 2 1/3)

~ hope this helped, have a gr8 day/ night my friend!~

Step-by-step explanation:

Answer:

2 and 1/3

Step-by-step explanation:

Answer:

AFB + BAF and CED + CDE

Step-by-step explanation:

complementary angles are two angles that add up to 90°

62 and 28 add up to 90

50 and 40 add up to 90

Answer: 0.06

Step-by-step explanation: subtract them and you'll get your answer

The probability that a randomly selected student takes an art class, given the student is on honor roll is P ( A|B ) = 0.75

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

The conditional probability is given by

P(A|B) = P(A and B) / P(B)

where A and B are events.

In this case, let A be the event that a randomly selected student takes an art class, and let B be the event that the student is on honor roll.

The probability that a selected student is on honor roll P ( B ) = 0.24

The probability that a selected student is on honor roll and takes an art class P (A and B) = 0.18

Now ,  the probability that a randomly selected student takes an art class, given the student is on honor roll P(A|B) = P(A and B) / P(B)

P(A|B) = P(A and B) / P(B) = 0.18 / 0.24 = 0.75

Hence , the probability is 0.75 or 75%

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