The table shows a linear relationship between x and y. What is the rate of change of y with respect to x.
A. -9/2
B. 2/9
C. -2/9
D. 9/2

Complete Question:

Frank has a 41% chance of receiving an A grade in statistics, a 36% chance of receiving an A grade in geology, and a 23% chance of receiving A grades in both statistics and geology. Find the probability that he receives an A in statistics or geology (or both) Write your answer as a decimal (not as a percentage).

Answer:

The probability that he receives an A in statistics or geology (or both) is:

0.54

Step-by-step explanation:

Probability of receiving an A grade in statistics = 41% or 0.41

Probability of receiving an A grade in geology = 36% or 0.36

Probability of receiving A grades in both statistics and geology = 23% or 0.23

Let S = statistics and p(S) = probability of A grade in statistics

Let G = geology and p(G) = probability of A grade in geology

Let p(S and G) = probability of A grades in statistics and geology.

The probability that he receives an A in statistics or geology (or both) is:

= p(S + G) - p(S and G)

= (0.41 + 0.36) - 0.23

= 0.54

The population starts at 2000, so a=2000.

We also know that the population in 3 hours is 1000, so we can setup the equation:

     2000 b^3 = 1000

This gets us:

    b^3 = 1/2

And taking the cube root of both sides gives us:

    b ≈ 0.7937005259841

Rounding that to 4 places, we have:

    f(t) = 2000 (0.7937)^t

To simplify the expression \(\displaystyle\sf 5x-3(-5y+6x)+4y\), we can follow the order of operations, which involves simplifying the expressions within parentheses, applying the distributive property, and combining like terms.

Using \(\displaystyle\sf \) tags for formatting, the expression becomes:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

First, we simplify the expression within the parentheses:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

\(\displaystyle\sf 5x+15y-18x+4y\)

Next, we can combine the like terms:

\(\displaystyle\sf 5x-18x+15y+4y\)

\(\displaystyle\sf -13x+19y\)

Therefore, the simplified expression is \(\displaystyle\sf -13x+19y\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

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#Lets just write x as the nunber you asked

x × 40/100 = 18

x = 18 : 40/100

x = 18 × 100/40

y = 1800/40

y = 45

Answer:

45

Step-by-step explanation:

take the unknown number as z

40%=40/100

40/100×z=18

2/5×z=18. (40/100=2/5)

z=18/2×5

z=45

Hope you've understood

The range of the function g(x) = √x − 1 + 2 is y ≥ 1 .

In the function, the collection of potential output values for a function is known as its range.

The given function,

g(x) = √x − 1 + 2

And The range is the possible value of x of all the values of the function g(x).

We have √x.

That means the x ≥0.

And when x = 0 the output of the function is 1.

And when x = 1 the output of the function is 2.

And similarly, whenever we put x≥0 the output y ≥ 1

Therefore, the range is y ≥ 1.

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1/3

HOPE IT HELPS :)))

The value of x in the parallelogram is 112°.

In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.

To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.

Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.

Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.

Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.

This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.

For the given question, we know x° + 68° = 180°.

Then x° = 180° - 68°

x° = 112°

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Answer:

The surface area of the soup can is given by the formula:

SA = 2πr² + 2πrh

where r is the radius of the circular ends of the can, h is the height of the can, and π is approximately 3.14.

The radius of the can is half of the diameter, so r = 4.5 cm.

Therefore, the surface area of the can is:

SA = 2π(4.5)² + 2π(4.5)(11)

SA = 2π(20.25) + 2π(49.5)

SA = 40.5π + 99π

SA = 139.5π

Approximating π as 3.14, we get:

SA ≈ 139.5 × 3.14

SA ≈ 438.03 cm²

Therefore, at least 438.03 square centimeters of paint are needed to cover the can.

So, the answer is 438.03 cm2.

I Hope This Helps!

Answer:

\(4x^2+3x-2\)

Step-by-step explanation:

We are given that

\(\frac{8x^3+2x^2-7x+2}{2x-1}\)

We have to divide the polynomials.

We have

Divisor polynomial=\(2x-1\)

Dividend polynomial=\(8x^3+2x^2-7x+2\)

\(\frac{8x^3+2x^2-7x+2}{2x-1}=4x^2+3x-2\)

Quotient=\(4x^2+3x-2\)

Remainder=0

The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

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Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

Remember that the formula to calculate the average rate of change is equal to

we have that

a=2010

b=2015

f(a)=f(2010)=36.5

f(b)=f(2015)=39.1

substitute

therefore

Rufus and Maria expect to pay $6924 before moving their apartment.

We have,

Rufus and Maria paid a $200 application deposit for the 1,150-square-foot apartment

Rufus and Maria should plan on paying the following:

Application deposit             $200

Credit Report fee                 $25

Security deposit                   $1595

(one month rent)

Last month Rent                   $1595

Broker's fee                           0.1(1595 x 12) = $1914

First month Rent                   $1595

So, total                                  $6924

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Answer:

-5+√2 and -5-√2

Step-by-step explanation:

With the quadratic formula:

\(\displaystyle x^2 + 10x + 25 = 2\\\\x^2+10x+23=0\\\\x=\frac{-10\pm\sqrt{10^2-4(1)(23)}}{2(1)}=\frac{-10\pm\sqrt{100-92}}{2}=\frac{-10\pm\sqrt{8}}{2}=\frac{-10\pm2\sqrt{2}}{2}=-5\pm\sqrt{2}\)

We can also complete the square (which is faster):

\(x^2+10x+25=2\\(x+5)^2=2\\x+5=\pm\sqrt{2}\\x=-5\pm\sqrt{2}\)

Therefore, the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 is 75%, rounded to one decimal place.

Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It measures how spread out the data is from the mean or average value. A low standard deviation indicates that the data is closely clustered around the mean, while a high standard deviation indicates that the data is more spread out. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.

Here,

Chebyshev's theorem states that for any dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations of the mean, where k is any positive number greater than 1. To find the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83, we can first find how many standard deviations away from the mean these prices are:

$3.27 is (3.27 - 3.55)/0.14 = -2 standard deviations from the mean

$3.83 is (3.83 - 3.55)/0.14 = 2 standard deviations from the mean

Thus, the distance between $3.27 and $3.83 is 4 standard deviations (2 in each direction).

Using Chebyshev's theorem with k = 2 (since we want to know the minimum percentage within 2 standard deviations), we have:

=1 - 1/2²

= 1 - 1/4

= 0.75

This means that at least 75% of stores sell a gallon of milk for between $3.27 and $3.83.

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Answer:

-7 + 5 = -2

Step-by-step explanation:

Basically, this equation can be thought of as 5 - 7, which would equal -2.

The solution of the composite function fog(x) = 3x + 3 at x > 2.

Let the two function f(x) and g(x) generate a new function h(x) using an operation.

The operation is composition of functions and h(x) is a composite function.

We have three piecewise function.

First we have to show that,

the composite function,

fog(x) at x > 2.

For that,

g(x) at x > 2 is,

g(x) = 3x.

Now, f(g(x)),

= f(3x)

= 3x + 3 at x > 2.

Therefore, the function is fog(x) = 3x + 3.

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The complete question:

Find the fog(x) at x > 2

Answer:

10

Step-by-step explanation:

The central angle is approximately 2.357 radians.

To find the central angle, we can use the formula:

Central angle (θ) = arc length ÷ radius

Given:

Arc length (mXY) = 18 in

Radius (ZY) = 7.64 in

Plugging in the values:

Central angle (θ) = 18 in ÷ 7.64 in

Calculating the division:

θ ≈ 2.357 radians

Therefore, the central angle is approximately 2.357 radians.

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Answer:

wheres it at?

Step-by-step explanation:

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Answer: The total distance covered by the car is 331 9/16 km.

Step-by-step explanation:

We know that, speed= distance/time taken

Therefore, distance = speed x time taken

= 132 5/8 x 2 1/2

= 5/2 x 1061/8

= 5305/16

= 331 9/16 km

Therefore, total distance is 331 9/16 km.

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Answer:

total cost = 10 • months + 100

Step-by-step explanation:

The $100 application fee is extra, only needed to pay once. The $10 per month is multiplication. $10 • the number of months.

The expression is evaluated to give 58/ 4, fifty-eight fourths. Option C

From the information given, we have the deduction;

\(\frac{\sqrt{36}* 3^2 - \sqrt[3]{-64} }{2^2}\)

Simply the expression;

√36 = 6

3² = 9

∛-64 = -4

2² = 4

Substitute the values into the expression

⇒ 6 × 9 - (-4)/ 4

Use the BODMAS rule, multiply first

⇒ 54 + 4/ 4

Add the numerators

⇒ 58/ 4

Thus, the expression is evaluated to give 58/ 4, fifty-eight fourths. Option C

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Answer:

58 over 4

Step-by-step explanation:

Answer:

1 degree

Step-by-step explanation:

The total measure of the angles of a triangle is 180 degrees

since you have two of the angles, subtract them from the total and you'll have the last remaining angle

180-177-2=1

Answer:

1

Step-by-step explanation:

177 + 2 = 179

180 -179=1

The image of the original figure after the translation and reflection is congruent to the original figure.

A particular type of transformation on the coordinate plane called translation keeps the size of the point or geometrical shape constant while only changing the position. Along the x-axis and y-axis in the coordinate system, the point or the figure can be moved in any direction, including up, down, right, left, and multiple directions.

1. By taking away 4 from the x-coordinate and adding 8 to the y-coordinate, we can translate a point 4 units left and 8 units up.

2. Point A after translation is situated at (-2, 9).

3. We negate the x-coordinate and leave the y-coordinate unaltered to indicate a point over the y-axis.

4. Point B is obtained by reflecting point A over the y-axis (2, 9).

5. Indeed, the resulting representation is consistent with the original figure since the rigid transformations of translation and reflection maintain angles and distances. As a result, the original figure's picture after translation and reflection corresponds to the original figure.

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Answer:

13.3 units (nearest tenth)

Step-by-step explanation:

\(\boxed{Distance \: between \: 2 \: points = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } }\)

Using the formula above, distance

\( = \sqrt{ {[2 - ( - 1)]}^{2} + ( - 9 - 4)^{2} } \)

\( = \sqrt{ {(2 + 1)}^{2} + ( - 13) {}^{2} } \)

\( = \sqrt{ {3}^{2} + ( - 13) {}^{2} } \)

\( = \sqrt{9 + 169} \)

\( = \sqrt{178} \)

= 13.3 units (nearest tenth)

Answer:

A. A sequence of statements that demonstrates the truth of an assertion.

Step-by-step explanation:

Mathematical proofs are a series of statements in order that help prove that something is true.

Proofs do not prove that something is false, they are not always 3 parts, and they are not in any order, because they have to be in an organized sequence.

So, A is correct.

Answer:

A sequence of statements that demonstrates the truth of an assertion.

Step-by-step explanation:

Answer:

i dont know because you have not really explained it

Step-by-step explanation:

The quotient of the division of 145413 by 321 is 453.

Division is one of the operation in mathematics where number is divideD into equal parts as that of a definite number.

We are using long division method here.

For that dividend is 145413 and divisor is 321.

First take the first some digits of dividend which is greater than 321.

That is the first four digits, 1454.

The multiple of 321 closest to 1454 is 1284 which is equal to 4 × 321

So the first digit of quotient is 4.

1454 - 1284 = 170

Now 170 is less than 321.

Add the next digit of the dividend to 170.

It becomes 1701.

Multiple of 321 closest to 1701 is 1605 which is equal to 5 × 321.

The next digit of the quotient is 5.

1701 - 1605 = 96

Again since 96 less than 321, take the next digit of the dividend and the number becomes 963.

Now 963 is a multiple of 321, where 963 = 3 × 321

So the next digit of the  quotient is 3.

Quotient = 453

Hence the quotient of the given division is 453.

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Answer: 16 pounds of grain.

Step-by-step explanation: 36 divided by 9 is 4, which means we have to multiply bin C by how much bin J was multiplied by, which is 4, so 4x4 is 16.

(let me know if you would like me to explain more on this)