is 1/2 • 2/3 greater than 2/3

The assertion that four-year public college tuition and fees exceed $5700 is sufficiently supported by the available data.

Step 1: Specify the claims and hypotheses.

H0: μ = $5700 and H1: μ > $5700 (claim)

Step 2: Calculate the test value.

z = (x - μ)/ (σ/√n)  

z = (5950 - 5700)/ (659/√36)

z = 2.28

Step3. Determine the P-value.

Determine the area for z = 2.28 using Table E.

Area equals 0.9887.

To determine the tail's area, deduct from 1.0000.

Therefore, 1.0000 - 0.9887 = 0.0113 is the P-value.

Step 4: Decide what to do.

The P-value is much less than 0.05, hence the null hypothesis is to be rejected.

Step 5: Condense the findings.

The assertion that four-year public college tuition and fees exceed $5700 is sufficiently supported by the available data.

Thus, this null hypothesis will not be disproved if = 0.01.

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Answer:

second one

Step-by-step explanation:

Answer:  

a

Step-by-step explanation:

reflection acrossv y=-3

The correct ranking of the spheres according to the magnitude of the electric field they produce at point P (greatest first) is: 1 > 2 > 3. The answer is option C.

Since all three spheres have the same charge Q and radius, the magnitude of the electric field at point P due to each sphere is proportional to 1/d^2, where d is the distance between the center of the sphere and point P. Therefore, the sphere closest to point P will produce the greatest electric field at that point.

Assuming that the three spheres are arranged in a straight line with sphere 1 being the closest to point P and sphere 3 being the farthest, we can rank the spheres according to the magnitude of the electric field they produce at point P as follows:

Sphere 1 produces the greatest electric field at point P since it is the closest to it.

Sphere 2 produces the second greatest electric field at point P since it is farther away from point P than sphere 1 but closer than sphere 3.

Sphere 3 produces the smallest electric field at point P since it is the farthest from it.

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Answer:

5.099

Step-by-step explanation:

The eighth power of (3 - 2i) is approximately -1.634 × 10^6 - 1.222 × 10^6i.

To use DeMoivre's theorem, we need to write the complex number in polar form, which is given by:

r = √(a^2 + b^2) = √(3^2 + (-2)^2) = √13

θ = tan^-1(b/a) = tan^-1(-2/3) ≈ -0.588 radians

Therefore, the polar form of (3 - 2i) is:

(3 - 2i) = √13 cis(-0.588)

Using DeMoivre's theorem, we have:

(3 - 2i)^8 = (√13 cis(-0.588))^8 = (√13)^8 cis(-0.588 * 8) = 371293 cis(-4.704)

To write the result in standard form, we need to convert back to rectangular form:

371293 cis(-4.704) ≈ -1.634 × 10^6 - 1.222 × 10^6i

Therefore, the eighth power of (3 - 2i) is approximately -1.634 × 10^6 - 1.222 × 10^6i.

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Answer:

2.7

Step-by-step explanation:

The answer to the question is 2.7

Answer:

-1

Step-by-step explanation:

this should be the exponent. Hope this helps you :)

Answer:

Length of the radii of the circles → 4 units and 1 unit

Equation of common tangent → x = 4

Step-by-step explanation:

From the figure attached,

Length of radii of each circles are,

Radius of circle S = 4 units

Radius of circle T = 1 unit

Common point where the circles are touching → (4, 1)

Common tangent to these circles is a line perpendicular to x-axis passing through x = 4,

Equation of the tangent will be,

x = 4

Answer:−10x-12

explanation is:-----------------

Answer:

-10x - 12

Step-by-step explanation:

-6x + 4(-x-3)

First, distribute the 4 to the (-x-3)

-6x + [(-4x)+(4 x -3)]

-6x + (-4x - 12)

Eliminate the parentheses

-6x + -4x - 12

Combine like terms

-10x - 12

To determine the profit made on 12 bags of cookies, it is essential to calculate the selling price, the cost price, and then determine the profit earned.What is cost price?The cost price is the price at which an item is purchased by the manufacturer, and it includes the cost of manufacturing plus any other expenses incurred. It is the amount that a seller pays for goods and services.What is selling price?The selling price is the price at which a product or service is sold to the consumer. It is the final price paid by the customer. The selling price includes the cost price and any profit the seller makes. It is the total cost of goods and services sold to the customer plus any markup that the seller adds to make a profit.Given information:Each bag of cookies cost S^2.60 to make and the price markup is 35%.Profit = Selling Price - Cost PriceSelling price = Cost price + 35% of Cost priceLet's first calculate the cost price of one bag of cookies:COST PRICE OF ONE BAG OF COOKIES = S^2.60SELLING PRICE OF ONE BAG OF COOKIES = COST PRICE OF ONE BAG OF COOKIES + 35% OF COST PRICE= S^2.60 + 0.35 × S^2.60= S^2.60 + S^0.91= S^3.51Therefore, selling price of 12 bags of cookies = 12 × S^3.51= S^42.12PROFIT MADE ON 12 BAGS OF COOKIES = SELLING PRICE OF 12 BAGS OF COOKIES - COST PRICE OF 12 BAGS OF COOKIES= S^42.12 - 12 × S^2.60= S^42.12 - S^31.20= S^10.92Therefore, the profit made on 12 bags of cookies is S^10.92.

The effect of the slower speed is paul would be late by 10 minutes.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
Paul planned a 160-mile trip and assumed he would travel at an average rate of 50 miles per hour.
Estimated time = 160 / 50 = 3.2 hours

After 2 hours at his planned rate of travel, traffic slowed and he was only able to travel 40 miles per hour for the remainder of the trip.

Actual time = 2 + [160 - 2×50]/40
Actual time = 3.5 hours

Thus, the effect of the slower speed is paul would be late by 10 minutes.

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Problem

The difference of a number and 72 is 12. Find the number.​

Solution

Let x the number of intertest and we can write this:

x-72=12

And solving for x we got:

x= 72+12= 84

Answer:

$235.2

Step-by-step explanation:

$210 * (100%+12%)

= $210 * 112%

= $210 * 1.12

= $235.2

Hope this helped!

Answer:

The final answer is $470.40.

Step-by-step explanation:

210 x 2 = $420

To find the final price including tax, we must find 12% of $420.

420 x 0.12 = $50.4

Now, we must finalize the price by adding the tax to the price without tax.

$420 + $50.4 = $470.40

Therefore, the final cost for the hotel room is $470.40.

Hope this helps you out! :)

Therefore, the sides 2 ft , 6 ft and 11 ft can't form a triangle because  2+6<11 contradicts the triangle inequality theorem.

The triangle inequality theorem describes the relationship between the three sides of a triangle.

The triangle inequality theorem states that the sum of lengths of two sides of a triangle is always greater than the third side.

Therefore, if the sides of a triangle are a, b and c, then,

a + b > c

a + c > b

b + c > a

Hence, the triangle with sides, 2 ft, 6 ft and 11 ft.

2 + 6 > 11 (This is not true)

2 + 11 > 6 (True)

6 + 11 > 2(True)

Therefore, the sides can't form a triangle because 2+6 < 11  contradicts the triangle inequality theorem.

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Answer:

5.1 pieces

Step-by-step explanation:

You have to divide the measure of foot pipe by the measure of how many pieces to make. So,

1) 5 1/3 / 2/3

2) Simplify the mixed number, 5 1/3,  into an improper fraction

3) 17/5 / 2/3

4) 5.1

Answer:

1: 180-degree Rotation.

2: Reflection across the X-Axis

3: Translation 3 units left, and 3 units up.

Step-by-step explanation:

Answer:

180-degree Rotation.

Reflection across the X-Axis

Translation 3 units left, and 3 units up.

Do great on your text!!! :3

Answer:

31 pounds

Step-by-step explanation:

i just did it

Answer:

the radius of each cylinder is 1 cm, 2 cm and 3 cm respectively

Step-by-step explanation:

The computation of the radius of each cylinder is shown below:

As we know that

The Volume of the cylinder = πr^2h

The radius would be

\(=\sqrt{ \frac{V}{\pi h} }\)

For cylinder A

\(=\sqrt{\frac{2826}{3.14\times 900} }\)

= 1 cm

For cylinder B

\(=\sqrt{\frac{2826}{3.14\times 225} }\)

= 2 cm

For cylinder C

\(=\sqrt{\frac{2826}{3.14\times 100} }\)

= 3 cm

Hence, the radius of each cylinder is 1 cm, 2 cm and 3 cm respectively

Answer:

7 and 5

Step-by-step explanation:

NONE

Writing linear equations given two points can be a useful skill when graphing linear equations.

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Answer: i believe it is 123/5 + 1984x/5

Step-by-step explanation:

The percentage increase in the cost of a gallon of gas according to the description given is; 80%.

It follows from the task content that the percentage increase in the cost of a gallon of gas is to be determined.

Since the percent increase is given by the formula;

%increase = (∆price/initial price) × 100%

= (6.30 - 3.50)/3.50 × 100%

= 2.80/3.50 × 100%

= 80%.

Ultimately, thee required percentage increase in the cost per gallon of gas is; 80%.

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here this probally will help

Answer:

5, 3

Step-by-step explanation:

Answer: 6x

Step-by-step explanation:

so consider x as the number,

twice of x= 2x

2x tripled= 2x*3

               = (2*3)x

               = 6x

Answer:

39! hehehehehe yes yes ok

\(\displaystyle\\Answer:\ -\frac{14}{13} x+y=\frac{8}{13}\)

Step-by-step explanation:

Ax+By=C   the slope is 14/13   (5,6)    (-8,-8)

The slope m equil 14/13

\(\displaystyle\\By=mx+C\\\\By=\frac{14}{13} x+C\ \ \ \ (1)\)

Substitute the coordinates of the points into equation (1) and obtain a system of equations:

\(\displaystyle\\\left \{ {{B(6)=\frac{14}{13}(5)+C } \atop {B(-8)=\frac{14}{13}(-8)+C }} \right.\\\\\left \{ {{6B=\frac{70}{13} +C\ \ \ \ \ \ \ (2)} \atop {-8B=-\frac{112}{13}+C\ \ \ (3) }} \right.\)

Multiply  both parts of the equation (3) by -1:

\(\displaystyle\\\left \{ {{6B=\frac{70}{13}+C \ \ \ \ (4)} \atop {8B=\frac{112}{13}-C }} \right.\)

Add these equations :

\(14B=\frac{182}{14}\\\\ 14B=14\)

Divide both parts of the equation by 14:

\(B=1\)

Hence, let's substitute the value of B into equation (4):

\(\displaystyle\\6(1)=\frac{70}{13}+C \\\\6=\frac{70}{13}+C\\6-\frac{70}{13} =\frac{70}{13} +C-\frac{70}{13}\\\\\frac{6*13-70}{13}=C\\\\\frac{78-70}{13}=C\\\\\frac{8}{13}=C\\\)

\(\displaystyle\\Thus,\ C=\frac{8}{13}\\\\ So,\ 1(y)=\frac{14}{13} x+\frac{8}{13} \\ -\frac{14}{13} x+y=\frac{8}{13}\)

6000FT, is the shortest length of fence that the rancher can use.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

Let the rectangular field's length be x.

rectangle field width = y

square feet of a rectangular field's area

Because length is always positive, it is always positive.

Once more, discriminate with respect to x

replace x=1500

Therefore, at x=1 500, fencing is minimal.

Change x to 1 500.

the rectangular field is 1500 feet long.

rectangle field's width is 1000 feet.

Replace the values

shortest used fence length =6000ft

Hence, 6000FT, is the shortest length of fence that the rancher can use.

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