in a class of 40 students 16 are boys what is the fraction of the class is boys

The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

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Answer: 4 pages

Step-by-step explanation:

To solve this problem, we need to use the formula:

Rate = Output/Time

Let's use "p" to represent the number of pages Ethan can type and "t" to represent the time he has before the meeting starts.

Rate = 2 pages/(1/8 hour) = 16 pages/hour

Since the meeting starts 3/4 hour later than the scheduled time, Ethan has t = 1 - 3/4 = 1/4 hour to type pages before the meeting starts.

Output = Rate * Timep = (16 pages/hour) * (1/4 hour) = 4 pages

Therefore, Ethan can type 4 pages before the meeting starts.

Answer: 4 pages

The regression equation is Y = 95.0 + 0.84X.The regression line is a mathematical model that is used to predict the value of a dependent variable (Y) based on the value of an independent variable (X).

In this case, the regression line is used to predict Y from X using the following data: X = 10, 20, 30, 40, 50, 60 and Y = 111, 109, 110, 94, 92, 93. By using a regression analysis tool such as StatKey, we can calculate the regression equation that best fits this data. The regression equation is Y = 95.0 + 0.84X, where 95.0 is the intercept and 0.84 is the slope. This equation can be used to make predictions about the value of Y for a given value of X. The rounded answer for the intercept is 95.0 and the rounded answer for the slope is 0.84.

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Answer:

David

Bc it said David's parents lol

nice one tho

When proving the properties of logarithms when exponents must be used, the property that is used in all of these is D. \(log_{b} (b^y) = y\)

When proving any property of logarithms that have to do with exponents, one property that should always be used is  \(log_{b} (b^y) = y\).

Expressing y as a product of \(log_{b} (b^y)\) is the most basic property of using exponents on logs because it has both product, quotient, and power rules of logarithms.

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Answer:

Below in bold.

Step-by-step explanation:

As we  all know a car has 4 wheels and a motorcycle has 2 so we can write 2 equations:

x + y = 140     where x = number of cars and y = number of cycles.

4x + 2y = 370.............A

Multiply first equation by 2:-

2x + 2y = 280.............B

Subtract equation  B from A:

2x = 90

x = 45.

So there are 45 cars and 140 - 45 = 95 motorcycles.

Answer:

28

Step-by-step explanation:

Substitute x = - 2 into the expression, that is

(- 2)² - 7(- 2) + 10 = 4 + 14 + 10 = 28

Answer:

Can I afford this, How will I pay for it, and what are the consequences of my purchase.

Step-by-step explanation:

Best questions to stay out of debt.

Answer: D

Step-by-step explanation:

The function g(x) is obtained by shifting the function f(x) to the right by 6 units.

To see why, let's evaluate g(x) for some values of x:

g(x) = f(x - 6) = 10(x - 6)

If we substitute x = 6, we get:

g(6) = f(6 - 6) = f(0) = 10(0) = 0

This tells us that the point (6, 0) is on the graph of g(x).

If we substitute x = 12, we get:

g(12) = f(12 - 6) = f(6) = 10(6) = 60

This tells us that the point (12, 60) is on the graph of g(x).

Comparing these results with the graph of f(x) = 10x, we can see that the graph of g(x) is obtained by shifting the graph of f(x) 6 units to the right.

Therefore, the correct answer is D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.

Answer: D. the graph of g(x) is the graph of f(x) shifted to the right 6 units

Step-by-step explanation:

The equation of the line that passes through the points (1,6) and (2,7) is y = x + 5.

We can use the point-slope version of the equation, which is: to determine the equation of a line passing through two specified points.

y - y₁ = m(x - x₁)

where (x₁, y₁) are the coordinates of one of the points, m is the slope of the line, and (x, y) are the coordinates of any other point on the line.

Use the points (1,6) and (2,7) to find the equation of the line:

Using (x₁, y₁) = (1,6):

y - 6 = m(x - 1)

Now, substitute the coordinates (2,7) into the equation:

7 - 6 = m(2 - 1)

1 = m

So, the slope of the line is m = 1.

Substitute this value into the equation:

y - 6 = 1(x - 1)

y - 6 = x - 1

y = x + 5

Therefore, the equation of the line that passes through the points (1,6) and (2,7) is y = x + 5.

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We will determine the surface area as follows:

So, the total surface area is 150 cm^2.

Answer:

It is 7 degrees.

Step-by-step explanation:

Hope this helps! Add -7 + 14= 7

The expanded form of 12³ is given as follows:

12³ = 12 x 12 x 12 = 1728 cubic feet.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V(a) = a³.

This expression is equivalent to multiplying the side length of the object by itself twice, as follows:

V(a) = a x a x a.

The side length for this problem is given as follows:

a = 12 feet.

Hence the volume of the cube is given as follows:

V = 12³ = 1728 feet³.

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Answer:

27

Step-by-step explanation:

Using point estimation, the sample proportion falls between 0.2 and 0.4.

The sample distribution offers details on the point estimator to choose. If the distribution's mean matches the actual value of the population parameter, the estimator is considered to be impartial. As a result, the population percentage p and the sample proportion p ought to be quite similar.

The correct option is C, because the average of 0.2 and 0.4 is 0.3

At a large university it is known that 30% of the students live on campus. The director of student life is going to take a random sample of 500 students. Which of the following is most likely to occur?

a.) The sample proportion falls between 0.3 and 0.5.

b.) The sample proportion falls between 0.1 and 0.3.

c.) The sample proportion falls between 0.2 and 0.4.

d.) The sample proportion falls between 0.25 and 0.35.

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Answer:

2

Step-by-step explanation:

Answer:

2 batches

Step-by-step explanation:

1 = 2 halves

1 batch × 2 = 2 batches

Answer:

∠ GJK = 102°

Step-by-step explanation:

(2x + 92) and (3x + 63) are same- side interior angles and sum to 180° , so

2x + 92 + 3x + 63 = 180

5x + 155 = 180 ( subtract 155 from both sides )

5x = 25 ( divide both sides by 5 )

x = 5

Then

∠ GJK = 2x + 92 = 2(5) + 92 = 10 + 92 = 102°

Answer:

Step-by-step explanation:

Answer:

x = \(\sqrt{4}\) = ±2

Step-by-step explanation:

\(\sqrt{-x+7+x-3}\) = \(\sqrt{4}\)

Answer:

25

Step-by-step explanation:

if 20 is 4/5 then you just reverse egineer and you get it

Answer:

\(b=3\sqrt{13}\)

Step-by-step explanation:

Segment Addition Postulate:

\(\bar{PY}=\bar{MP}+\bar{MY}\)

Substitute MP = 4, MY = 9 into PY = MP + MY:

\(\bar{PY}=4+9\)

Calculate PY = 4 + 9:

\(\bar{PY}=13\)

Representing same angles:

\(cos A = leg adjacent to <A/hypotenuse:

\(cos(Substitute DY = b, PY = 13 into cos (<DYP)=DY/PY:

\(cos(Substitute <DYP=<DYM into cos(<DYP)=b/13:

\(cos(cos A=leg adjacent to <A/hypotenuse:

\(cos\left(Substitute DY=b, MY=9, cos(<DYM)=b/13 into cos (<DYM)=MY/DY:

\(\frac{b}{13}=\frac{9}{b}\)

Calculate b/13=9/b:

\(b=3\sqrt{13}\)

I hope this helps you :)

I flip a coin three times, and then another three times. If the number of heads is the same the first and second time, I win. If the number of heads is different, then I win. If I win, you pay me one dollar. If you win, I give you 3 dollars. This is worth playing game.

Let's assume that player A wins if both sets of coins are fair and have an equal number of heads.

The likelihood of this = (1/8)^2 + (3/8)^2 + (3/8)^2 + (1/8)^2

The likelihood of this = 1/64 + 9/64 + 9/64 + 1/64

The likelihood of this = (1 + 9 + 9 + 1)/64

The likelihood of this = 20/64

The likelihood of this = 5/16

If the two sets are different, let's say B triumphs.

The likelihood of this = 1 - 5/16 = 11/16

Therefore, if A wins 3 dollars and loses 1 dollar, then A's predicted net gain is

= 3 × 5/16 - 1 × 11/16

= 15/16 - 11/16

= (15 - 11)/16

= 4/16

So this game is defiantly worth playing game.

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The complete question is:

I flip a coin three times, and then another three times. If the number of heads is the same the first and second time, I win. If the number of heads is different, then I win. If I win, you pay me one dollar. If you win, I give you 3 dollars. Is this game worth playing?

Answer:

Step-by-step explanation:

-4x + 2 = x - 3

-5x + 2 = -3

-5x = -5

x = 1

y = 1 - 3

y = -2

(1, -2)

Answer: 3√3 , -3√3

Step-by-step explanation:

Answer:

+/-3 √3

Step-by-step explanation:

:p

Answer:

$2

Step-by-step explanation:

To find the unit cost, divide the entire price of all the songs (22), by how many songs you bought (11)

22 Dollars / 11 Songs   =    2 Dollars / Song   (2 Dollars per Song)

Answer:

Step-by-step explanation:

(A)  subtract larger arc and smaller arc, divide by 2 and that gives angle

<VYX =(1/2)(VW-VX)

<VYX = (1/2)(145-51)

<VYX =(1/2)(94

<VYX = 47

(b) The 2 arcs added then divided by 2 = angle in middle

<AEB=(1/2)(CD+AB)

69 = (1/2)(CD+87)

138=CD+87

CD=51

Answer: The HCF of 8 and 20 is 4. The factors of 8 are 1, 2, 4, 8, and the factors of 20 are 1, 2, 4, 5, 10, 20.

Step-by-step explanation: Please give Brainlist.

Hope this helps!!!!

Answer:

c. 4

Step-by-step explanation:

for this problem, you would have to set up a division equation, which would be

total number of cups

———————————————

unit rate amount for one dumpling

in this case, your equation would be

2

—

.5

when you solve 2/.5 you get 4 total dumplings