julian's transcript shows a grade point average of 3.00, with a standard deviation of 0.25. what fraction of his total credits were certain to have a grade point average between 2.00 and 4.0?

Answer:

x = (-10 + sqrt(180)) / 8

= -1.25 + 0.75 * sqrt(5)

x = (-10 - sqrt(180)) / 8

= -1.25 - 0.75 * sqrt(5)

Step-by-step explanation:

To solve the given equation, we need to combine like terms and isolate the variable on one side of the equation. The given equation is:

2x(x+4)+7=(x+8)+2x(x+1)+12

We can start by expanding the parentheses on the left-hand side to obtain:

2x^2 + 8x + 7 = x + 8 + 2x^2 + 2x + 12

We can then combine like terms on both sides of the equation to get:

4x^2 + 10x - 5 = 0

To solve for x, we can use the quadratic formula, which states that the solutions of the equation ax^2 + bx + c = 0 are given by:

x = (-b +/- sqrt(b^2 - 4ac)) / 2a

In the given equation, we have a = 4, b = 10, and c = -5, so the solutions are:

x = (-10 +/- sqrt(10^2 - 4 * 4 * (-5))) / 2 * 4

= (-10 +/- sqrt(100 + 80)) / 8

= (-10 +/- sqrt(180)) / 8

This gives us two solutions:

x = (-10 + sqrt(180)) / 8

= -1.25 + 0.75 * sqrt(5)

x = (-10 - sqrt(180)) / 8

= -1.25 - 0.75 * sqrt(5)

These are the two solutions of the given equation. Note that we could also write the solutions in a simplified form by factoring the quadratic and using the zero product property, but the quadratic formula is generally more reliable and easier to use.

When a sample of size 25 is taken from a population with a mean of 120 and a standard deviation of 10,The expected distance between the sample mean and the population mean is 2.5.

The mean of a population is the average value of all the data points, while the standard deviation is a measure of how spread out the data points are. When a sample of size 25 is taken from a population with a mean of 120 and a standard deviation of 10, the expected distance between the sample mean and the population mean is 2.5. This is because the standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size. In this case, the standard deviation of the sample mean would be 10/5 = 2, and the expected distance between the sample mean and the population mean would be 2 x 2.5 = 2.5.

Standard deviation of the sample mean = Population standard deviation / √ Sample size

= 10 / √25

= 10 / 5

= 2

Expected distance between the sample mean and the population mean = 2 x 2.5

= 2.5

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The changes in the river water level with reference to the normal water level in the 9-day period is analyzed as follows;

Part A: The numerical expression representing the water level after the 9-day period is; -12 + 18 - 8 × 2.6

Part B; -12 + 18 - 8 × 2.6 = -14.8

Part C; The meaning of -14.8 is that the water level after the 9-day period is 14.8 centimeters below the normal water level.

A mathematical expression is a collection of numbers and, or variables and operators combined according to the rules of mathematical operations.

Part A

The water level of the river at the start = 12 centimeters below its normal level

The amount by which the water level increases after a day of rain = 18 centimeters

The amount by which the water level reduces in the next 8 days = 2.6 centimeters per day

The numerical expression that represents the water level in the 9-day period is therefore;

-12 + 18 - 8 × 2.6

Part B

The value of the expression -12 + 18 - 8 × 2.6 is; -12 + 18 - 8 × 2.6 = -14.8

Part C

The meaning of the value -14.8 is that the water level after the 9-day period is 14.8 centimeters below the the normal water level of the river

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Answer:

150 sequences

Step-by-step explanation:

Let's find the sets of 5 integers less than or equal to 6 that could multiply to 300 (where order doesn't matter for right now):

1, 2, 5, 5, 6

1, 3, 4, 5, 5

2, 2, 3, 5, 5

Now let's find the number of unique ways we could reorder these sets

There are [tex]\frac{5!}{2!} = 60[/tex] ways to order {1, 2, 5, 5, 6}

There are [tex]\frac{5!}{2!} = 60[/tex] ways to order {1, 3, 4, 5, 5}

There are [tex]\frac{5!}{2!2!} = 30[/tex] ways to order {2, 2, 3, 5, 5}

There could have, therefore, been 60 + 60 + 30 = 150 different sequences of rolls

The area of a circle is given by the formula:

area = pi * r^2

where pi is a constant approximately equal to 3.14 and r is the radius of the circle.

To find the area of the circle, we first need to find the radius. The radius is half the diameter, so the radius of the circle is 20/2 = 10 feet.

Plugging this value into the formula, we get:

area = 3.14 * 10^2 = 3.14 * 100 = 314 square feet

So the area of the circle is 314 square feet.

Answer:

100π, or about 312. Could also be 314.16 if it needs to be rounded.

Step-by-step explanation:

First, the area of a circle is πr^2

To find radius, it's diameter/2.

So the radius is 20/2 which is 10.

With this, we plug it in: π(10)^2 = π100 = 100π.

That is an exact answer. For a rounded answer, assume π = 3.14.

3.14*100 = 314 sqr feet.

However, it you want to round the final answer, 100π is around 314.159265359 thus making rounding to the nearest hundredth 314.16.

As per the divisibility rule, the number is 6552

In math, the divisibility rule states that one to check whether a number is divisible by another number without the actual method of division here if a number is completely divisible by another number then the quotient will be a whole number and the remainder will be zero.

Here we have given that 655Δ i a 4-digit number with one of it digit represented by Δ. 655Δ is divisible by 3.

Here we have to find the missing digit in the given number.

Here we have given that the number is 655Δ.

And we have also given that the given number is divisible y 3.

So, here we must know the divisibility rule of 3.

The divisibility rule of 3 states that a number is completely divisible by 3 if the sum of its digits is divisible by 3.

So, based on these rules let us consider that x be the missing digit.

Then it can be written as.

=> [6 + 5 + 5 + x]/3

=> 16 + x/3

Here we put the value of x as 2, then we get 18, that is divisible by 3.

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Answer:

To find the value of y when x is 1, we can substitute 1 for x in the equation and solve for y:

y = -3(1) + 2.5

y = -3 + 2.5

y = -0.5

Therefore, when x is 1, y is -0.5.

is the answer is correct? correct me if im wrong

Answer 8.06 X 10-8 M*4

Step-by-step explanation: No Explanation Just Answer srry could think of a way to say it.

Answer: 16.16 in

Step-by-step explanation:

10^2 + x^2 = 19^2

100 + x^2 = 361

x^2 = 261

x = 16.16 in

Answer:

Mabel will pay $91.53 for the television.

Step-by-step explanation:

To calculate the total cost of the television including sales tax, we first need to calculate the amount of sales tax by multiplying the price of the television by the sales tax rate. This gives us $84.75 * 0.08 = $6.78 in sales tax.

To find the total cost of the television, we add the price of the television to the sales tax amount. This gives us $84.75 + $6.78 = $91.53.

Therefore, Mabel will pay $91.53 for the television.

Answer:

t = 39

Step-by-step explanation:

t - 52 = - 13 ( isolate t by adding 52 to both sides )

t = - 13 + 52 = 39

the integer from the solution set S that makes the equation true is 39

Answer:

[tex] \sf \: t = 39[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of t.

The equation is,

→ t - 52 = -13

Then the value of t will be,

→ t - 52 = -13

→ t = -13 + 52

→ [ t = 39 ]

Hence, the value of t is 39.

The total weight of Mrs. Portillo's cat and the dog is 34 kilograms.  

The mathematical operations known as operators focus on particular activities, such as adding, taking away, adding multiple times and dividing equally, etc.

The four fundamental operations in Maths are

1. Addition

2. Subtracting

3. Multiplications

4. Divisions

Here we use Addition to solve the problem

Here we have

Cat's weight = 6 kilograms

Her dog weighs 22 kilograms more than her cat

Weight of dog = Cat's weight + 22 kilograms

= 6 kilograms + 22 kilograms

= 28 kilograms

Total weight of Mrs. Portillo's cat and dog = 6 + 28 = 34 kilograms

Therefore,

The total weight of Mrs. Portillo's cat and the dog is 34 kilograms.  

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Complete Question:

What is the total weight of her cat and dog? Mrs. Portillo's cat weighs 6 kilograms her dog weighs 22 kilograms more than her cat.

The right-angled triangle have angle B = 40°, side c = 20.9 and b = 13.4 approximately to the nearest tenth.

We shall use the trigonometric ratios of sine and cosine of the angle 50° to get the length of the sides and apply the rule of the sum of interior angles of a triangle to get the angle B.

sin50° = opposite/hypotenuse

sin50° = 16/c

c = 16/(sin50°) {by cross multiplication}

c = 20.9

cos50° = adjacent/hypotenuse

cos50° = b/20.9 {by cross multiplication}

b = 20.9 × cos50°

b = 13.4

The sum of interior angles of a triangle is equal to 180° so;

angle B = 180° - (90° + 50°)

angle B = 180° - 140°

angle B = 40°

Therefore, by application of trigonometric ratios sine and cosine, we have the sides of the right-angled triangle b = 13.4, c = 20.9, and the angle B = 40°.

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In each toss, the expected value is the probability of winning multiplied by the amount won, minus the probability of losing multiplied by the amount lost. The probability of winning is 1/2, or 0.5, and the probability of losing is also 1/2, or 0.5. The amount won is $2, and the amount lost is $0.50. So the expected value of each toss is 0.5 * $2 - 0.5 * $0.50 = $0.75.

Therefore, after 21 tosses, you would expect to gain an amount equal to 21 * $0.75 = $<<21*0.75=15.75>>15.75.

The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.

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Answer: b=2/5

Step-by-step explanation:

Step 1: Cross-multiply.

2b−1/2 = b−1/6

(2b−1)*(6)=(b−1)*(2)

12b−6=2b−2

Step 2: Subtract 2b from both sides.

12b−6−2b=2b−2−2b

10b−6=−2

Step 3: Add 6 to both sides.

10b−6+6=−2+6

10b=4

Step 4: Divide both sides by 10.

10b/10 = 4/10

b = 2/5

The number of times that she has filled her 12-fluid-ounce will be 33.307.

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

We know that in 1 gallon, there are 133.228 fluid ounces.

The amount of coffee in 3 gallons will be given as,

3 gallons = 3 x 133.228

3 gallons = 399.684 fluid ounces

The number of times that she has filled her 12-fluid-ounce will be given as,

⇒ 399.684 / 12

⇒ 33.307

The number of times that she has filled her 12-fluid-ounce will be 33.307.

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Answer: It appears to take the same amount of time to serve each customer

It takes 40 minutes to serve  10 customers.

Step-by-step explanation:

It appears to take the same amount of time to serve each customer

To find the number of minutes it takes

Divide the number of times by the number of customers

16/4 = 4

it takes 4 minutes to serve 1 customer

Find the number of time it takes to serve 10 customer

10*4=40

It takes 40 minutes to serve  10 customers.

Answer:

for the first question it would be 7.5

The second one would we 28

The third one would be A

Step-by-step explanation:

The two different quantities Analia thought to measure which school has higher academic performance are :

B. Graduation rate / Budget per student

D. SAT average / Budget per student

In other to define a quantity which measures academic achievement;

We take the ratio of a related metric or parameter which is a measure of the academic performance of the student in each school and the budget per student for each school .

The parameters which could be used to measure academic achievement are;

The graduation rate of each school.

The SAT average of each school.

Hence, the quantity to measure academic achievement relative to budget per student could be expressed as ;

Graduation rate / Budget per student

SAT average / Budget per student

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Answer:

24

Step-by-step explanation:

If 4/6 of the items are jackets and the rest are gloves, this means 1 - 4/6 = 2/6 = 1/3 of the items are gloves in Saginaw Elementary School's lost and found.

We do 72 total items × 1/3 items are gloves = 24 items in the lost and found are gloves

Answer:

The slope of AB = slope of CD and slope of BC = slope of DA

Hope this helps!

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The equivalent of two reflections across intersecting lines is a glide reflection.

A glide reflection is a combination of a translation and a reflection. It involves moving an object along a line, and then reflecting the object across the same line. Since a reflection is an isometry (a transformation that preserves the distance between points), a glide reflection is also an isometry.

In contrast, a rotation is a transformation that involves turning an object around a fixed point, and a reflection is a transformation that involves flipping an object across a mirror line. Neither of these transformations is equivalent to two reflections across intersecting lines.

Therefore, the correct answer is (a) glide reflection.

Answer:

a)y=x+6

b)y=42

c)

Step-by-step explanation:

if x=8 ,y=14that means that y=x +a thus y=14,x=8 14=8+a hence a=14-8. a=6 thus y=x+6

using the equation in a above y =x+6 ,x=36 thus y=36+6 hence y=42

Answer:

To solve this system, we need to find the values of x and y that make both equations true at the same time.

Let's start by solving the first equation for y:

|2х - бу = 1

2х - бу = 1

-2х + бу = -1

бу = 1 - 2х

y = (1 - 2х)/б

Now let's substitute this expression for y into the second equation:

x - (1 - 2х)/б = 1

x - 1 + 2х/б = 1

3х/б = 0

x = 0

Substituting this value for x back into the first equation, we get:

y = (1 - 2*0)/б = 1/б

So the solution to the system of equations is x = 0 and y = 1/б.

I hope this helps!

Answer:

166 meters/minute

Step-by-step explanation:

get speed in m/sec by multiplying 10 with 5/18

=

2.7m/sec

multiply it by 60 to get meters/minute

=

166 meters/minutes

Answer: 10/60, so 1/6 of a km of km per minute

Step-by-step explanation:

The total area of the card is 4+2π that is calculated as per the description.

Heart shaped ornament is made from a square and two semicircles each of whose diameter is the side of the square where one co-ordinate unit represents one in the coordinates of the six points are given.

The side of the square is 4 units or 4 inches as mentioned you can see from the cord this side of the square is 4 and these two are semicircles and the diameter of the semicircle is 4 and it is mentioned because these semicircles are built on the side of the square so diameter both semicircle equals to 4 inches or 4 units that implies radius would be diameter / to which equals to 2 inches . 2 π R by 2 that gives us to the second boundary as well as third boundary is semicircle to its perimeter aur length would be π R 25 + fire we are writing fire two times because there are two semicircles this one the fourth surface is also side of square this also equals to 4 inches so the overall aur total perimeter would be sum of all the total perimeter equals to 1 + 2 + 3 + 4 which gives a pool + 4 + 4 which will give you 4 + 4 is 8 + 45.

Thus, the total area of the card is 4+2π.

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∇f(x, y) of the function  f(x, y) = 1 / squareroot (x^2 + y^2) is

Given function is f (x, y) = 1 / squareroot (x ^ 2 + y ^ 2)

∇f(x, y) that is the gradient of the function is ([tex]f_{x}[/tex], [tex]f_{y}[/tex])

[tex]f_{x}[/tex] = partial differentiation of the given function with respect to x

= - x / ( (x ^ 2 + y ^ 2) ^ 3/2)

[tex]f_{y}[/tex] = partial differentiation of the given function with respect to y

= - y / ( (x ^ 2 + y ^ 2) ^ 3/2)

Hence, the ∇f(x, y), the gradient of the function is:

(- x / ( (x ^ 2 + y ^ 2) ^ 3/2) , - y / ( (x ^ 2 + y ^ 2) ^ 3/2))

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Answer:

73,700

Step-by-step explanation:

You round up on the hundreds place. 73,653

Hope this helps! :)

73,653 rounded to the nearest hundred is: 73,700.

By solving simultaneous linear equation, it can be calculated that

Speed of the current is 5 miles/hour

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here a simultaneous linear equation needs to be solved

Let the speed of boat in still water be x miles/hour and speed of stream be y miles/hour

Speed of the boat downstream = (x  + y) miles/hour

Speed of the boat upstream = (x - y) miles/hour

A boat travels 80 miles downstream in 4 hours

x + y = [tex]\frac{80}{4}[/tex]

x + y = 20 .... (1)

A boat travels 80 miles upstream in 8 hours

x - y = [tex]\frac{80}{8}[/tex]

x - y = 10 .... (2)

Subtracting (2) from (1)

2y = 10

y = [tex]\frac{10}{2}[/tex]

y = 5 miles/hour

Speed of the current is 5 miles/hour

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