Tami takes the MCAT because she plans to apply to Medical School, and Vu takes the LSAT because he plans to apply to Law School. Scores on the MCAT follow a Normal distribution with a mean of 505.6 points and a standard deviation of 9.3 points. Scores on the LSAT follow a Normal distribution with a mean of 150.7 points and a standard deviation of 10.2 points. If Tami earns 524.2 points on the MCAT and Vu earns 171.1 points on the LSAT, who performed better on their respective test?

a. Tami
b. Vu
c. Both Tami and Vu performed equally well.
d. It's impossible to compare scores on two totally different tests, so this question cannot be answered.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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12

Step-by-step explanation:

because i,j,k are the unit vectors of x y and z axis and the vector having same unit vector can only be multiply or divide

Answer:

\(x^3+y^3\)

Step-by-step explanation:

\((x+y)(x^2-xy+y^2)= \\\\x(x^2)+x(-xy)+x(y^2)+y(x^2)+y(-xy)+y(y^2)= \\\\x^3-x^2y+xy^2+x^2y-xy^2+y^3= \\\\\boxed{x^3+y^3}\)

Hope this helps!

Answer: quantitative

Step-by-step explanation:

Measured variables in statistics may be subdivided into quantitative or Qualitative variables depending on whether the variable in question is numeric or non-numeric. Variables which are designed to evaluate on the basis of Number or quantity may be termed as quantitative variables while those which measure attribute and are used for characterization are called Qualitative variables. In the scenario above, the variable is concerned with the determination of concentration of nitrogen draining into water bodies, concentration follows that numeric calculations be Made in other to determine the amount of nitrogen in milligram per Litre in a particular water body in other to prevent its effect on wildlife which could result from excessive concentration in water bodies.

Answer:

5

Step-by-step explanation:

Answer: Increase in percentage by 42% and with baggage 43.2%.

Step-by-step explanation:

we know that the price is increased from $250 to $ 335

the percentage change by increasing the price is

$355 - $ 250 = $105

percentage change will be change/original = 105/250*100 = 42%

additional charges $ 50, $105+ $50 = 155

percentage change = 155/355*100 = 43.2%

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Answer:

  9) D: (-4, 4]; R: [-6, -4]

  10) D: [-5, -5]; R: (-7, ∞)

Step-by-step explanation:

You want the domain and range of the relations shown on the given graphs.

The domain of a relation is the set of x-values for which it is defined. An open circle indicates that point is not included in either the domain or range.

The range of a relation is the set of y-values that the relation produces. An open circle indicates the y-value at that point is not in the range.

The graph has an open circle at x = -4 on the left, and a solid dot at x = 4 on the right. All of the x-values between these have corresponding y-values.

The domain is (-4, 4].

The bottom (minimum) of the curve lies on the line y = -6, so that is the lowest value in the range. The relation produces all y-values between -6 and -4. The solid dot at (4, -4) means -4 is included in the range.

The range is [-6, -4].

The vertical line at x=-5 means -5 is the only value in the domain.

The domain is [-5, -5].

The vertical line extends upward from an open circle at y = -7. The open circle means -7 is not part of the range.

The range is (-7, ∞).

Answer:

9)  Domain:  (-4, 4]

    Range:  [-6, -4]

10)  Domain:  [-5]

    Range:  (-7, ∞)

Step-by-step explanation:

Definitions

An open circle indicates the value is not included in the interval.

A closed circle indicates the value is included in the interval.

An arrow shows that the function continues indefinitely in that direction.

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

Domain & Range

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

From inspection of the graph, the minimum x-value is x = -4 and the maximum x-value is x = 4.

There is an open circle at endpoint (-4, -4).  Therefore, x = -4 is not included in the domain.

There is an closed circle at endpoint (4, -4).  Therefore, x = 4 is included in the domain.

Therefore, the domain of the relation is restricted:  (-4, 4]

From inspection of the graph, the minimum y-value is y = -6 and the maximum y-value is y = -4.

This maximum value is included in the range since there is a closed circle at (4, -4).

Therefore, the range of the relation is restricted:  [-6, -4]

From inspection of the graph, the line is a vertical line at x = -5.

Therefore, the domain of the relation is restricted to x = -5:  [-5]

From inspection of the graph, the minimum y-value is x = -7.  

This minimum value is not included in the range since there is an open circle at (-5, -7).

There is an arrow on the other endpoint of the line, indicating that the line continues indefinitely in that direction.

Therefore, the range of the relation is restricted:  (-7, ∞)

Answer:

2) 25.48

The diameter of the circle     d = 25.48                

Step-by-step explanation:

Step(i):-

we know that the diameter of a circle  d = 2 r

The circumference of the circle = 2π r

Given that the circumference of the circle = 80 feet

Step(ii):-

 The circumference of the circle = 2π r = 80

                                ⇒ π (2r )= 80

                               ⇒  πd = 80

                               ⇒ \(d = \frac{80}{3.14}\)

                                  d = 25.477

Final answer:-

The diameter of the circle     d = 25.477                                

Answer: 3/2

Step-by-step explanation:  24 ÷ 2² + 8 (3/2) = 3/2

Answer:

i think this is the ans

Step-by-step explanation:

plezz mark brainliest

The equivalent expression for the given expression is 3i√3.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is √-27

= i√27

= i√(9×3)

= 3i√3

Therefore, the equivalent expression for the given expression is 3i√3.

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Answer:

i believe its $0.31

Step-by-step explanation:

Answer:

the circumference is 30 cm,

Step-by-step explanation:

Hope it helps

Answer:

The mean cholesterol levels

= 173873.7

Step-by-step explanation:

For The mean

The mean is going to be sum of the numbers divide by the number

Mean = (130130 +145145+ 215215 +170170+ 165165 +225225+ 240240 +185185+ 130130 +132132 )/10

Mean =1738737/10

= 173873.7

For Median

Wee arrange ascending order

130130, 130130, 132132, 145145, 165165, 170170, 185185, 215215, 225225, 240240

Median = (165165+170170)/2

Median = 335335/2

Median = 167667.5

Mode = 130130

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

If you are going from a larger unit to a smaller unit, you multiply by successively. If you are going from a smaller unit to a larger unit, you divide by successively. The factor label method can also be applied to conversions within the metric system.

When you are converting from a larger unit to a smaller unit, you will always divide.

When you are converting from a larger unit to a smaller unit, you will always divide. This is because as you move from a larger unit to a smaller unit, you are breaking the quantity down into more individual parts, hence the need for division.

For instance, to convert 5 m to centimeters;

5 meters x (100 centimeters / 1 meter) = 500 centimeters

As you can see, we divided 5 meters by 100 (the number of centimeters in one meter) to obtain the equivalent length in centimeters, which is 500 centimeters.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.

Answer:

There Is A 90% Chance That The Population Mean Is Between 70.9 And 73.1 Beats Per Minute. There Is A 90% Chance That The Population Mean Is Between 62 And 82 Beats Per Minute. There Is A 10% Chance That The Population Mean Is Less Than 72 Beats Per Minute

Hope it helps

Step-by-step explanation:

dont know the answer what we have to do

Answer:

Step-by-step explanation:

1 hour =$50

2hour=$100

3hour=$150

4hour=$200

5hour=$250

6hour=$300

rate of change is $300 a week if they work 6 hours

hope this helps, have a good day!

Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

To determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.

If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.

Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.

However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.

Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

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Answer:

A

Step-by-step explanation:

For a right triangle

\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)

This is the same as the other triangle because they are the same size because of congruency

Area of the rectangle

\(a^2+b^2=c^2\\\)

\(\sqrt{(10.4^2+15.3^2} =c\)

\(c= 18.5\)

18.5 x 7 = 129.5

Add them all up

129.5+79.56+79.56= 288.62

Answer:

Step-by-step explanation:

e

Answer:

26 seconds

Step-by-step explanation:

39 - 13 = 26

Answer:

translation 2 units down and 90

rotation about the origin

Step-by-step explanation:

The area of the surface formed by revolving the polar equation over the given interval about the given line , r = 4cosθ is 16π .

Polar coordinate system is a two dimensional coordinates system like Cartesian system with the variables r, θ ( polar coordinates) and axis called polar axis . Consider the polar equation

r = 4cosθ --(1) ; 0≤θ ≤π/2

The axis of a rotation is in polar axis.

We know that, the surface area about θ = π/2 is

S = 2π ∫(r sinθ√(r² + (dr/dθ)²) dθ with limits

so, differenatiate equation (1) with respect to θ we get , dr/dθ = - 4 sinθ

Now, S =2π₀∫ˣ [4cosθsinθ√(4²cos²θ + (-4 sinθ)²)]dθ where x = π/2

S = 2π ₀∫ˣ[ 4cosθsinθ√(4²cos²θ + 4²sin²θ)]dθ

S = 2π₀∫ˣ [ 4cosθsinθ√4²(cos²θ+sin²θ)]dθ

S = 2π ₀∫ˣ [ 16cosθsinθ√(cos²θ+sin²θ)]dθ

S = 32π ₀∫ˣ [cosθ sinθ √1 ]dθ

S = (32π/2) ₀∫ˣ 2cosθsinθdθ

S = (16π) ₀∫ˣ sin2θdθ

S = 16π ₀[- cos2θ/2]ˣ

putting the upper limit θ = x = π/2 and lower limit θ = 0

S = (- 16π/2) [ cos2 (π/2) - cos2(0)]

S = (- 8π )[ cosπ - cos0° ] = - 8π[ - 1 - 1]

S = 16π

Hence, surface area is 16π .

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Complete question :

Find the area of the surface formed by revolving the polar equation over the given interval about the given line_ Polar Equation r = 2 cosQ

Interval 0 < Q <π/ 2 Axis of Revolution Polar axis.