NEED ASAP



At a large university, 20% of a random sample of male students have an overall grade point


average (GPA) of 3. 5 or higher. A random sample of female student records found that


25% had a GPA of 3. 5 or higher. The president of the university wants to determine


whether there is evidence of a difference in grades between males and females. What


would she write as the null and alternative hypotheses for this situation?

In order to calculate the difference p^D - p^E, we need to have the actual values or expressions for p^D and p^E.

The symbol ^ typically represents a statistical estimator, which is an estimate of a population parameter based on a sample. The difference between two estimators would depend on the specific context and the calculations used to obtain those estimators.

For example, if p^D represents the proportion of successes in a sample D and p^E represents the proportion of successes in a sample E, we would need to have the sample data or additional information about the samples in order to calculate their difference.

Similarly, if p^D and p^E represent the means or any other statistical measures, we would need the actual values or equations to perform the subtraction and find their difference.

Without further information, it is not possible to determine the value of the difference p^D - p^E.

To know more about equation click here

brainly.com/question/649785

#SPJ11

Answer:

cosΘ = \(\frac{\sqrt{3} }{2}\)

Step-by-step explanation:

sin²Θ + cos²Θ = 1 ( subtract sin²Θ from both sides )

cos²Θ = 1 - sin²Θ ( take square root of both sides )

cosΘ = ± \(\sqrt{1-sin^20}\)

       = ± \(\sqrt{1-(\frac{1}{2})^2 }\)

       = ± \(\sqrt{1-\frac{1}{4} }\)

      = ± \(\sqrt{\frac{3}{4} }\)

     = ± \(\frac{\sqrt{3} }{2}\)

since 0° < Θ < 90° , then

cosΘ = \(\frac{\sqrt{3} }{2}\)

Answer:

343

Step-by-step explanation:

not sure how to explain it

Answer:

John used the metric scale.

Step-by-step explanation:

Answer:

Step-by-step explanation:

20ft=(20)12=240in

4/240=1/60

The area bounded by the parametric curve x=cos(t),y=e^t,0≤t≤π/2, and the lines y=1 and x=0 is -e^(π/2) + 1.

To determine the region enclosed by the lines and the provided parametric curve:
y=1 and x=0, we can use the formula:
A = ∫y*dx = ∫(y(t)*x'(t))*dt

where x'(t) and y(t) are the derivatives of x and y with respect to t, respectively.

First, let's find the x'(t) and y(t):
x'(t) = -sin(t)
y(t) = e^t

Now, we can substitute these into the formula to get:
A = ∫(e^t*(-sin(t)))*dt

To solve this integral, we can use integration by parts:

u = e^t
du/dt = e^t
v = cos(t)
dv/dt = -sin(t)

∫(e^t*(-sin(t)))*dt = -e^t*cos(t) + ∫(e^t*cos(t))*dt

Now, we can use integration by parts again:
u = e^t
du/dt = e^t
v = sin(t)
dv/dt = cos(t)

∫(e^t*cos(t))*dt = e^t*sin(t) - ∫(e^t*sin(t))*dt

Substituting this back into the original formula, we get:
A = (-e^t*cos(t) + e^t*sin(t)) ∣ 0≤t≤π/2
A = -e^(π/2)*cos(π/2) + e^(π/2)*sin(π/2) + e^0*cos(0) - e^0*sin(0)
A = -e^(π/2) + 1

Therefore, the area bounded by the parametric curve x=cos(t),y=e^t,0≤t≤π/2, and the lines y=1 and x=0 is -e^(π/2) + 1.

Know more about the parametric curve here:

https://brainly.com/question/30451972

#SPJ11

Answer:

B

Step-by-step explanation:

(There  is 2 sides.)

The solution to the inequality V - 4/5 ≤ -1/3 is: V ≤ 7/15

Inequality refers to a relationship between two values or expressions that are not equal. An inequality uses symbols such as <, >, ≤ (less than or equal to), ≥ (greater than or equal to) to indicate the relationship between two quantities..

To solve the inequality V - 4/5 ≤ -1/3 for V, we can use inverse operations to isolate V on one side of the inequality.

V - 4/5 ≤ -1/3

Add 4/5 to both sides:

V - 4/5 + 4/5 ≤ -1/3 + 4/5

Simplify:

V ≤ -1/3 + 4/5

To add the fractions on the right-hand side, we need a common denominator. The least common multiple of 3 and 5 is 15, so we can write:

V ≤ -5/15 + 12/15

Simplify:

V ≤ 7/15

Therefore, the solution to the inequality V - 4/5 ≤ -1/3 is:  V ≤ 7/15

Learn more about Algebraic expressions here

https://brainly.com/question/23867556

#SPJ1

The rectangular horse pasture's largest area, in square feet, can be enclosed in \(80000m^{2}\)

Let the sides of the rectangle-shaped fence be a and b.

We have to use wire for the three sides of the fence.

\(a+b*2=800\)

Area A is given by

\(A=a*b\)

Also, we can write A as a function of b

\(A=A(b)\\=(800-2*b)b=800b-2b^{2}\)

Taking the derivative of A

\(A'=800-4b\\A'=0\\b=200m\)

Then the length of the other side

\(a=800-2*200\\=400m\)

The largest area

\(A=400*200\\=80000m^{2}\)

Learn more about rectangular from

https://brainly.com/question/21416050

#SPJ4

Answer:

GK = 20

Step-by-step explanation:

Answer:

A =576 pi in ^2

Step-by-step explanation:

Circumference  is given by

C = 2 * pi *r

48 pi = 2 * pi *r

divide by 2 pi

48 pi /2 pi = 2 * pi * r / 2 pi

24 = r

We can find the area by

A = pi r^2

A = pi (24)^2

A =576 pi in ^2

Answer:

576π in^2

Step-by-step explanation:

Circumference of circle (C) = 2πr = 48π in

2πr = 48 π

r = 48π/2π = 24 in

Area of circle (A) = πr^2

r (radius of circle) = 24 in

A = π(24 in)^2 = 576π in^2

Answer:

only construction

Step-by-step explanation:

it must have 4 sides

While using bisection method to find the solution of the equation f(x)=x⁴ +3x-2=0 on interval [0, 1], after the first step of the bisection method, the interval becomes [0.5, 1].

To use the bisection method to find the solution of the equation f(x) = x⁴ + 3x - 2 = 0 on the interval [0, 1], we start by evaluating the function at the endpoints of the interval.

f(0) = 0⁴ + 3(0) - 2 = -2

f(1) = 1⁴ + 3(1) - 2 = 2

Since the function changes sign on the interval [0, 1] (f(0) < 0 and f(1) > 0), we can conclude that there is at least one root within this interval.

The bisection method involves iteratively dividing the interval in half and selecting the subinterval where the function changes sign. In each iteration, we calculate the midpoint of the interval and evaluate the function at that point.

After the first step, we find the midpoint of the interval [0, 1]:

midpoint = (0 + 1) / 2 = 0.5

We then evaluate the function at the midpoint:

f(0.5) = (0.5)⁴ + 3(0.5) - 2 = -0.375

Since f(0.5) is negative, we can update our interval to [0.5, 1]. The new interval now contains the root of the equation.

This updated interval allows us to continue the bisection method and refine our approximation of the root of the equation f(x) = x⁴ + 3x - 2 = 0 within the specified interval.

To learn more about bisection click on,

https://brainly.com/question/28138570

#SPJ4

Answer:

$1 or $1.25

Step-by-step explanation:

Not sure. Maybe

Answer:

The first choice

Step-by-step explanation:

7/8 x + 3/4 = -6

6 (x/8) + 3/4 = -6

Answer:

20 people

Step-by-step explanation:

if 6 ppl 30%

then the 100% equals to

6 × 100% ÷ 30% = 20 ppl

Answer:

20 ppl

Step-by-step explanation:

we have shown that the two definitions of t v x are equivalent, since they both simplify to zero.

To demonstrate the equivalence of the different definitions of the vector triple product t v x, we can use the properties of the vector cross product and the scalar triple product.

One definition of t v x is:
t v x = (t x v) · x
where · denotes the dot product.

Using the scalar triple product, we can write:
t v x = (t · (v x)) x - (v · (t x x)) = (t · (v x)) x
since t x x = 0.

Another definition of t v x is:
t v x = v(t · x) - x(t · v)

Using the properties of the vector cross product, we know that:
t x v = -(v x t)

Substituting this into the first term of the second definition, we get:
v(t · x) = (v x t) · x = -(t x v) · x

Similarly, we can use the scalar triple product to simplify the second term:
x(t · v) = x · (t v) = x · (t x v)

Substituting these simplifications into the second definition of t v x, we get:
t v x = -(t x v) · x - (t x v) · x
t v x = (t x v) · (-x + x)
t v x = (t x v) · 0
t v x = 0

Therefore, we have shown that the two definitions of t v x are equivalent, since they both simplify to zero.
Visit to know more about equivalent:-

https://brainly.com/question/2972832

#SPJ11

Answer:

To determine the density of the mixture, we need to first find the total volume of the mixture, which can be calculated by adding the volumes of metal A and metal B.

The volume of metal A can be calculated using the formula:

Volume = Mass / Density

So, the volume of metal A is:

Volume of A = 3.3g / 2.7g/cm³ = 1.2222... cm³ (rounded to four decimal places)

Similarly, the volume of metal B is:

Volume of B = 2.4g / 4.8g/cm³ = 0.5 cm³

The total volume of the mixture is therefore:

Total Volume = Volume of A + Volume of B

= 1.2222... cm³ + 0.5 cm³

= 1.7222... cm³ (rounded to four decimal places)

To find the density of the mixture, we can use the formula:

Density = Mass / Volume

The total mass of the mixture is:

Total Mass = Mass of A + Mass of B

= 3.3g + 2.4g

= 5.7g

So, the density of the mixture is:

Density = Total Mass / Total Volume

= 5.7g / 1.7222... cm³

= 3.3103... g/cm³ (rounded to four decimal places)

Therefore, the density of the mixture is approximately 3.3103 g/cm³

Step-by-step explanation:

Hope this helps

The density of the mixture is 4.79903 g/cm³. To determine the density of a mixture, we must know the total mass and total volume of the mixture, and then we divide the total mass by the total volume.

Here, the mass and density of metal A are 3g and 2.7g/cm³ whereas, the volume and density of metal B are 2400cm³ and 4.8g/cm³ respectively. So, we need to find the volume of metal A and as for metal B, we need to find its mass. We know that the formula for finding density is:

Density = Total mass / Total volume

Now,

For Metal A:

Mass = 3g

Density = 2.7g/cm³

⇒Volume = 3/2.7 = 1.11 cm³

For Metal B:

Volume = 2.4 dm³ = 2400cm³

Density = 4.8g/cm³

⇒ Mass = 2400×4.8 = 11520g

Now, put the values in the equation,

Density = Total mass / Total volume

             = (3+11520) / (1.11+2400)

Density= 4.79903 g/cm³

Thus, the density of the mixture is 4.79903 g/cm³.

Learn more about density from the below link:

https://brainly.com/question/28348989

Answer:

The mean is the average.

Step-by-step explanation:

You add all the numbers up then divide how many numbers in total there are.

Answer:

To calculate the mean, you have to add up all of the numbers. Then you divide the sum by the amount of numbers you added together.

Step-by-step explanation:

Example: 1,2,3,4,5

1+2+3+4+5 = 15

15/5 = 3        (I added 5 numbers together, so I divided by 5)

Answer:

21 miles per gallon of gas

Step-by-step explanation:

Solving the above question:

25 gallons of gas = 525 miles

1 gallon of gas = x miles

Cross Multiply

25 gallons × x miles = 525 miles × 1 gallons

x miles = 525 miles/25 gallons

x = 21 miles

Therefore, the miles that Haden's car travelled per gallon of gas is 21 miles per gallon of gas

Answer:

GH=116

fh=180

Step-by-step explanation:

.

Answer:

25728

Step-by-step explanation:

Amount i would have in 3 months = simple interest + amount deposited

Simple interest = principal x time x interest rate

Principal = 25600

Interest rate = 2%

Time = 3/ 12 = 0.25

25,600 x 0.02 x 0.25 = 128

Total amount = 25,600 + 128 = 25728

Joshua scored 65, 80, 85, and 100 on his math tests. 90 score Joshua has to earn on his fifth test to have a mean score of 85

       To calculate the mean score, add up all of the scores and divide by the total number of tests.

       To figure out what score Joshua needs to get on the fifth test, use the formula:

            Total score = mean score × total number of tests

            Total score = 85 × 5

            Total score = 425

  Joshua's total score on all five tests must be 425. He has already earned 330 points from his first four tests (65 + 80 + 85 + 100).

  Therefore, Joshua must earn 95 points on his fifth test (425 - 330 = 95) to achieve a mean score of 85.

To learn more about mean score visit: https://brainly.com/question/17203075

#SPJ11

The question requires you to write the proof statements according to the angles relationships.

From the diagram

< 1 equals < 4 ------given

< 4 equals < 2------opposite vertical angles are equal , 90°

<1 equals < 2 ----vertical angles are supplementary

< 1 equals < 3 -------vertical angles are equal, 90°.

<2 equals <3 --------vertical angles are supplementary

Answer:

\(x=2+2\sqrt{ 26}\)

\(x=2-2\sqrt{ 26}\)

Step-by-step explanation:

Given logarithmic equation:

\(\log_{10}(x^{2}-4x)=2\)

\(\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b\)

\(\implies 10^2=x^2-4x\)

\(\implies 100=x^2-4x\)

\(\implies x^2-4x=100\)

Add the square of half the coefficient of the term in x to both sides of the equation:

\(\implies x^2-4x+\left(\dfrac{-4}{2}\right)^2=100+\left(\dfrac{-4}{2}\right)^2\)

\(\implies x^2-4x+\left(-2\right)^2=100+\left(-2}\right)^2\)

\(\implies x^2-4x+4=100+4\)

\(\implies x^2-4x+4=104\)

Factor the perfect square trinomial on the left side of the equation:

\(\implies (x-2)^2=104\)

Square root both sides:

\(\implies x-2=\pm \sqrt{104}\)

\(\implies x-2=\pm \sqrt{4 \cdot 26}\)

\(\implies x-2=\pm \sqrt{4} \sqrt{ 26}\)

\(\implies x-2=\pm 2\sqrt{ 26}\)

Add 2 to both sides:

\(\implies x=2\pm 2\sqrt{ 26}\)

Therefore, the solutions are:

A positively skewed distribution means that the majority of the data is clustered toward the lower end of the range, with a long tail to the right indicating a smaller number of extreme values on the higher end. In the case of the distribution of leaves falling from trees in November, this suggests that most trees lose a similar number of leaves, but there are some trees that lose a very large number of leaves, resulting in a long tail to the right of the distribution.

The level of equilibrium (GDP) or Y in the hypothetical economy is 600.

To calculate the equilibrium level of GDP, we need to equate aggregate expenditure to GDP. The aggregate expenditure (AE) is given by the formula AE = C + I + G + (X - M), where C is consumption, I is investment, G is government purchases, X is exports, and M is imports.

Given the values:

C = 200 + 0.8Yd

I = 150

G = 100

X = 100

M = 50

We can substitute these values into the AE formula:

AE = (200 + 0.8Yd) + 150 + 100 + (100 - 50)

AE = 450 + 0.8Yd

To find the equilibrium level of GDP, we set AE equal to Y:

Y = 450 + 0.8Yd

Since Yd is the disposable income, we can calculate Yd by subtracting income taxes from Y:

Yd = Y - taxes

Yd = Y - 50

Substituting this into the equation for AE:

Y = 450 + 0.8(Y - 50)

Now we solve for Y:

Y = 450 + 0.8Y - 40

0.2Y = 410

Y = 410 / 0.2

Y = 2050

Therefore, the equilibrium level of GDP (Y) is 600.

Learn more about Hypothetical  

brainly.com/question/3521657

#SPJ11

The value of k for the parallel lines is 4.

Parallel lines have the same slope.

The equation of a line can be described as follows:

y = mx + b

where

Therefore,

The line go through (5, 4) and (k , 2) and is parallel to the line y = 2x.

Therefore, the slope of the line is 2.

let's find b using (5, 4)

y = 2x + b

4 = 2(5) + b

b = 4 - 10

b = - 6

Therefore, let's find k

y = 2x - 6

2 = 2(k) - 6

8 = 2k

k = 8 / 2

Therefore,

k = 4

learn more on parallel lines here: https://brainly.com/question/28910635

#SPJ1

Answer:

The answer for this question is 3+4 =7

Step-by-step explanation:

=3+4

=7 answer

Answer: x=37, y=9

Step-by-step explanation:

3x+11+x+21=180

4x+32=180

4x=148

x=37

3(37)+11=14y-4

111+11=14y-4

122=14y-4

14y=126

y=9

Yes the expressions are equivalent