a university is interested in promoting graduates of its honors program by establishing that the mean gpa of these graduates exceeds 5.50. a sample of 37 honors students is taken and is found to have a mean gpa equal to 5.60. the population standard deviation is assumed to equal 4.0. the parameter to be tested is?

Answer :  The slope of the curve x = cos(y) at a point where y = y0 is given by -sin(y0).

To find the slope of the curve x = cos(y) at a specified point, we need to take the derivative of x with respect to y, which will give us the slope of the tangent line to the curve at that point.

Using the chain rule, we can differentiate x with respect to y as follows:

dx/dy = d/dy (cos(y))

Applying the chain rule, we get:

dx/dy = -sin(y)

So, the slope of the curve x = cos(y) at a point where y = y0 is given by -sin(y0).

For example, if we want to find the slope of the curve at the point where y = π/4, we plug in y0 = π/4 into the expression for the derivative:

dx/dy = -sin(π/4) = -√2/2

Therefore, the slope of the curve x = cos(y) at the point where y = π/4 is -√2/2.

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Answer:

i do no

Step-by-step explanation:

Use property...

cot(a+b)=cot a cot b - tan a tan b

a=x b=pi/2

Left side --> cot x+pi/2)=cot x cot (pi/2)  - tan x tan (pi/2)

= cot x * 0 - tan x  * 1

=0 - tan x

=- tan x

= Right side  

Answer:

the first answer is m<3=87

the second answer is m<4=44

Step-by-step explanation:

use the triangle theorem lol

but how i found out was angle 3 and what ever angle has 93⁰ are supplementary meaning that they equal 180⁰ so i subtracted 93⁰ from 180⁰ and got 87⁰ as tbe measure of angle 3

angle 4, 3 and the given angle, since it makes a triangle should equal 180⁰. so 180⁰- 49⁰-87⁰ leaves you with 44⁰

Answer:

A: add 3.8

Step-by-step explanation:

just did it on edge

a) 26 × 0.02584 = 0.67384 ≈ 0.67

b) 15.3 ÷ 1.1 = 13.9090909... ≈ 13.9

c) 782.45 − 3.5328 = 778.9172 ≈ 779

d) 63.258 + 734.2 = 797.458 ≈ 800

a) To determine the result of 26 × 0.02584, multiply the numbers and round the answer to the appropriate number of significant figures. Since 26 has two significant figures and 0.02584 has four significant figures, the answer should have two significant figures. Multiplying the numbers gives 0.67384, which is rounded to 0.67.

b) To find the result of 15.3 ÷ 1.1, divide 15.3 by 1.1 and round the answer to the appropriate number of significant figures. Both 15.3 and 1.1 have three significant figures, so the answer should also have three significant figures. Dividing the numbers gives 13.9090909..., which is rounded to 13.9.

c) To calculate 782.45 − 3.5328, subtract the second number from the first and round the answer to the appropriate number of significant figures. Both 782.45 and 3.5328 have five significant figures, so the answer should also have five significant figures. Subtracting the numbers gives 778.9172, which is rounded to 779.

d) To find the sum of 63.258 and 734.2, add the numbers together and round the answer to the appropriate number of significant figures. Both 63.258 and 734.2 have four significant figures, so the answer should also have four significant figures. Adding the numbers gives 797.458, which is rounded to 800.

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Answer:

-1 and 4

Step-by-step explanation:

first you bring the terms on the right side to the left and you get:

-x^2 + 3x + 4 = 0

then you divide both sides of the quadratic by -1:

x^2 - 3x - 4 = 0

then you factor the equation:

(x + 1)(x - 4) = 0

for any product to be zero, one of the factors must be zero. hence, either x + 1 or x - 4 can be zero. so x can be -1 and//or 4.

have a great day <3

Since adding polynomials doesn't change the degree (unless the two highest degree terms match and cancel each other out), the result will just be the degree of the highest degree polynomial.

In your case, the result will be a 4th degree polynomial.

Answer:

In 11/20, 11/100, and 11/15, the numerator is 11.

In 6/11, the denominator is 11.

9514 1404 393

Answer:

  455

Step-by-step explanation:

The decrease was 30% of 650, or ...

  0.30 · 650 = 195

So, the population this year is ...

  650 -195 = 455

Answer:

455 Penguins

Step-by-step explanation:

1.) 650 x 0.30 = 195

2.) 650 - 195 = 455

Final answer: 455 Penguins

Hope this helped!

Answer:16

Step-by-step explanation:

Using PEMDAS:

8 / 2 * (2+2)

Parentheses first: 8 / 2 * (4)

Then go left to right: 8/2 = 4, 4 * 4 = 16.

8/2(2+2)

It will be 16.

Answer:

1. x=10; y=10 x root 2

Step-by-step explanation:

This is a 45-45-90 triangle, so the legs of the right triangle have an equal length. The formula states that y=x root 2, which is 10, so 10 root 2. The other triangles are all 30-60-90 triangles.

Your answer is 2,100, because you first get 3,000, then times 7 which equals 2,100, hope that helps.

Answer:

21,000

Step-by-step explanation:

7 * ( 100 * 30)

7* 300

21000

Time is a continuous data type, meaning it can take any value within a range. For example, the flight time from London to Chicago could range from 6 to 8 hours.

Continuous data is a type of data that can take any value within a range. As opposed to discrete data which can only take certain values, continuous data can take any value within a range. An example of continuous data is time. The flight time from London to Chicago could range from 6 to 8 hours. This time can be measured in any unit, such as seconds, minutes, hours, or days. This type of data is useful in many fields such as mathematics, engineering, and economics. Continuous data provides a more accurate representation of real-world phenomena that often follow a certain pattern or trend. This type of data is also important for analyzing relationships between variables and for making predictions about the future.

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Answer:

\(x + 5y = 6\) is perpendicular to \(y = 5x + \frac{6}{5}\) and parallel to \(y = -\frac{1}{5}x + 2\\\)

Step-by-step explanation:

First, convert the equation to standard form so that y is isolated.

x + 5y = 6 --> x - 6 = -5y (divide both sides by -5) --> \(y = -\frac{1}{5}x + \frac{6}{5}\)

A perpendicular line will have a slope that is the opposite reciprocal of the original slope (meaning you flip the numerator and denominator then make it negative).

\(-\frac{1}{5}\) is perpendicular to \(-(\frac{-5}{1} )\) which simplifies to 5.

A parallel line will have the same slope, but the y-intercept will be different. It can be pretty much any number as long as the original slope is used in the new equation.

\(y = -\frac{1}{5}x + \frac{6}{5}\\\) is parallel to \(y = -\frac{1}{5}x + 2\\\) just like \(y = -\frac{1}{5}x - \frac{100}{23}\).

Answer: x/3 ==> C

Step-by-step explanation:

(2x/3)^1/2 * (x/6)^1/2=

(2x/3 * x/6)^1/2=

(2x^2/18)^1/2=

(2x^2)^1/2 / 18^1/2=

(2x^2)^1/2 / (2*9)^1/2=

(2x^2)^1/2 / 3*2^1/2=

2^1/2 * (2x^2)^1/2 / 3*2=

(2(2x^2))^1/2 / 6=

(4x^2)^1/2 / 6=

4^1/2 * (x^2)^1/2 / 6=

2x/6=x/3 ==> C

The probability of selecting a user who chooses cinnamon and is under 13 years old is: 0.18 or 18% (rounded to two decimal places).

In the problem, we are given the number of users who choose bacon and are under 13 years old, which is 8. We are also given the number of users who choose plain and are under 13 years old, which is 5. Therefore, the total number of users under 13 years old is 8 + 5 = 13.

Next, we are asked to find the probability of selecting a user who chooses cinnamon and is under 13 years old. We know that the number of users who choose cinnamon and are under 13 years old is 3. Therefore, out of the total 13 users under 13 years old, the probability of selecting a user who chooses cinnamon and is under 13 years old is:

The total number of users under 13 years old is 8 (choose bacon) + 5 (choose plain) = 13.

The number of users who choose cinnamon and are under 13 years old is 3.

Therefore, the probability of selecting a user who chooses cinnamon and is under 13 years old is:

3 / 13 ≈ 0.23 or 23% (rounded to two decimal places)

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Step-by-step explanation:

A o option

-(-45)

hope it helps

Answer:

2 : 3 is the correct answer

Step-by-step explanation:

happy to help :)

Answer:

Step-by-step explanation:

depends what K is.

But usually an algabraic letter with no value is equal to one

K=1

hoped that helped a little

The first step to solve the equation is;

⇒ ''Change 14 1/10 to 14.1''

What is Mixed fraction?

A fraction which is represented with its quotient and remainder is called a mixed fraction.

The problem is given as,

40.8 - 14 1/10

Now, To solve the equation we have firstly change 14 1/10 as

40.8 - 14 1/10

40.8 - 14.1

Then, Subtract the numbers as,

26.7

Solution of the problem is 26.7.

So, The first step to solve the equation is;

⇒ ''Change 14 1/10 to 14.1''

Option 4 is true.

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When parentheses and multiplication are both present in an equation, the parentheses should be evaluated first. Then, any multiplication should be performed according to the order of operations.

In mathematics, the order of operations is a set of rules that dictate the sequence in which operations are performed in an arithmetic expression.

The order of operations is also known as the "PEMDAS" rule, which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.

According to the PEMDAS rule, parentheses should be evaluated first, followed by exponents, then multiplication and division (performed from left to right), and finally addition and subtraction (performed from left to right).

So, when parentheses and multiplication are both present in an equation, the parentheses should be evaluated first. Then, any multiplication should be performed according to the order of operations.

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Answer: 540 km/h is about 150 meters per second.

Step-by-step explanation:

Simply divide 540 by 3.6.

540/3.6 = 150

Answer:

40

The square of 3 is 9, and 9 + 31 = 40.

Hope this helps and have a great day :)

And please mark me brainliest if you can :)

Answer:

Step-by-step explanation:

The side is S= 5 cm , and the area is A= S² = 5²= 25

If the side would be doubled will be S= 5*2 = 10 cm, and the area A= 10²=100

Compare the area of S=5 to area of S=10 , 100 = 4*25

Conclusion:

If we double the side the area is 4 times greater.

Answer:

462 minutes

Step-by-step explanation:

By the end of the five-year loan term, Alejandro will have paid a total of approximately $29,568.94 in principal and interest.

To calculate the total payment, we can use the formula for compound interest:

Total Payment = Principal Amount * (1 + Interest Rate)^Number of Years

In this case, the principal amount is $25,000, the interest rate is 5% (or 0.05 in decimal form), and the number of years is 5. Plugging these values into the formula, we can calculate the total payment. Therefore, Alejandro will have paid approximately $29,568.94 in principal and interest by the end of the loan term.

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